Metis---2.4.THM-CRf.s

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : ALG114+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 14 17:35:44 EDT 2022

% Result   : Theorem 3.12s 3.28s
% Output   : CNFRefutation 3.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   60
%            Number of leaves      : 1343
% Syntax   : Number of formulae    : 6373 (2481 unt;   2 def)
%            Number of atoms       : 26969 (26870 equ)
%            Maximal formula atoms :  128 (   4 avg)
%            Number of connectives : 31984 (11388   ~;13010   |;7542   &)
%                                         (   4 <=>;  40  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    5 (   2 usr;   3 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-2 aty)
%            Number of variables   :  209 (   0 sgn   0   !;   0   ?)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(definition_0,definition,
    ( definitionFOFtoCNF_4
  <=> ( h3(e10) != e20
      & h3(e11) != e20
      & h3(e12) != e20
      & h3(e13) != e20 ) ) ).

fof(definition_1,definition,
    ( definitionFOFtoCNF_5
  <=> ( h3(e10) != e21
      & h3(e11) != e21
      & h3(e12) != e21
      & h3(e13) != e21 ) ) ).

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

fof(normalize_0_2,plain,
    h1(e12) = e20,
    inference(conjunct,[],[normalize_0_1]) ).

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

fof(normalize_0_4,plain,
    h2(e12) = e21,
    inference(conjunct,[],[normalize_0_3]) ).

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

fof(normalize_0_6,plain,
    h3(e12) = 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,
    ( 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(conjunct,[],[normalize_0_7]) ).

fof(normalize_0_9,plain,
    ( ~ definitionFOFtoCNF_4
  <=> ( h3(e10) = e20
      | h3(e11) = e20
      | h3(e12) = e20
      | h3(e13) = e20 ) ),
    inference(canonicalize,[],[definition_0]) ).

fof(normalize_0_10,plain,
    ( 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))
    | definitionFOFtoCNF_4
    | ( 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_8,normalize_0_9]) ).

fof(normalize_0_11,plain,
    ( ~ definitionFOFtoCNF_5
  <=> ( h3(e10) = e21
      | h3(e11) = e21
      | h3(e12) = e21
      | h3(e13) = e21 ) ),
    inference(canonicalize,[],[definition_1]) ).

fof(normalize_0_12,plain,
    ( 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))
    | definitionFOFtoCNF_4
    | definitionFOFtoCNF_5
    | ( h3(e10) != e23
      & h3(e11) != e23
      & h3(e12) != e23
      & h3(e13) != e23 ) ),
    inference(simplify,[],[normalize_0_10,normalize_0_11]) ).

fof(normalize_0_13,plain,
    ( ( h3(e10) != 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))
      | definitionFOFtoCNF_4
      | definitionFOFtoCNF_5 )
    & ( h3(e11) != 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))
      | definitionFOFtoCNF_4
      | definitionFOFtoCNF_5 )
    & ( h3(e12) != 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))
      | definitionFOFtoCNF_4
      | definitionFOFtoCNF_5 )
    & ( h3(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))
      | definitionFOFtoCNF_4
      | definitionFOFtoCNF_5 ) ),
    inference(clausify,[],[normalize_0_12]) ).

fof(normalize_0_14,plain,
    ( h3(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))
    | definitionFOFtoCNF_4
    | definitionFOFtoCNF_5 ),
    inference(conjunct,[],[normalize_0_13]) ).

fof(normalize_0_15,plain,
    h3(e11) = op2(op2(e22,e22),op2(e22,e22)),
    inference(conjunct,[],[normalize_0_5]) ).

fof(normalize_0_16,plain,
    ( e20 = op2(op2(e22,e22),e22)
    & e21 = op2(op2(e22,e22),op2(e22,e22))
    & e23 = op2(e22,e22) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_0_17,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(conjunct,[],[normalize_0_16]) ).

fof(normalize_0_18,plain,
    ( e10 = op1(op1(e12,e12),e12)
    & e11 = op1(op1(e12,e12),op1(e12,e12))
    & e13 = op1(e12,e12) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_0_19,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(conjunct,[],[normalize_0_18]) ).

fof(normalize_0_20,plain,
    e13 = op1(e12,e12),
    inference(conjunct,[],[normalize_0_18]) ).

fof(normalize_0_21,plain,
    ( h4(e10) = op2(op2(e23,e23),e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = e23
    & h4(e13) = op2(e23,e23) ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_0_22,plain,
    h4(e13) = op2(e23,e23),
    inference(conjunct,[],[normalize_0_21]) ).

fof(normalize_0_23,plain,
    e23 = op2(e22,e22),
    inference(conjunct,[],[normalize_0_16]) ).

fof(normalize_0_24,plain,
    h3(e10) = op2(op2(e22,e22),e22),
    inference(conjunct,[],[normalize_0_5]) ).

fof(normalize_0_25,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(conjunct,[],[normalize_0_16]) ).

fof(normalize_0_26,plain,
    e10 = op1(op1(e12,e12),e12),
    inference(conjunct,[],[normalize_0_18]) ).

fof(normalize_0_27,plain,
    h4(e10) = op2(op2(e23,e23),e23),
    inference(conjunct,[],[normalize_0_21]) ).

fof(normalize_0_28,plain,
    h2(e13) = op2(e21,e21),
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_29,plain,
    h1(e13) = op2(e20,e20),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_30,plain,
    h3(e13) = op2(e22,e22),
    inference(conjunct,[],[normalize_0_5]) ).

fof(normalize_0_31,plain,
    ( ( h3(e10) != e20
      | ~ definitionFOFtoCNF_4 )
    & ( h3(e11) != e20
      | ~ definitionFOFtoCNF_4 )
    & ( h3(e12) != e20
      | ~ definitionFOFtoCNF_4 )
    & ( h3(e13) != e20
      | ~ definitionFOFtoCNF_4 )
    & ( h3(e10) = e20
      | h3(e11) = e20
      | h3(e12) = e20
      | h3(e13) = e20
      | definitionFOFtoCNF_4 ) ),
    inference(clausify,[],[normalize_0_9]) ).

fof(normalize_0_32,plain,
    ( h3(e10) != e20
    | ~ definitionFOFtoCNF_4 ),
    inference(conjunct,[],[normalize_0_31]) ).

fof(normalize_0_33,plain,
    ( ( h3(e10) != e21
      | ~ definitionFOFtoCNF_5 )
    & ( h3(e11) != e21
      | ~ definitionFOFtoCNF_5 )
    & ( h3(e12) != e21
      | ~ definitionFOFtoCNF_5 )
    & ( h3(e13) != e21
      | ~ definitionFOFtoCNF_5 )
    & ( h3(e10) = e21
      | h3(e11) = e21
      | h3(e12) = e21
      | h3(e13) = e21
      | definitionFOFtoCNF_5 ) ),
    inference(clausify,[],[normalize_0_11]) ).

fof(normalize_0_34,plain,
    ( h3(e11) != e21
    | ~ definitionFOFtoCNF_5 ),
    inference(conjunct,[],[normalize_0_33]) ).

fof(normalize_0_35,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e10) = e11
      | op1(e10,e10) = e12
      | op1(e10,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e10,e11) = e11
      | op1(e10,e11) = e12
      | op1(e10,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e10,e12) = e11
      | op1(e10,e12) = e12
      | op1(e10,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e10,e13) = e11
      | op1(e10,e13) = e12
      | op1(e10,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e10) = e11
      | op1(e11,e10) = e12
      | op1(e11,e10) = e13 )
    & ( op1(e11,e11) = e10
      | op1(e11,e11) = e11
      | op1(e11,e11) = e12
      | op1(e11,e11) = e13 )
    & ( op1(e11,e12) = e10
      | op1(e11,e12) = e11
      | op1(e11,e12) = e12
      | op1(e11,e12) = e13 )
    & ( op1(e11,e13) = e10
      | op1(e11,e13) = e11
      | op1(e11,e13) = e12
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e10) = e11
      | op1(e12,e10) = e12
      | op1(e12,e10) = e13 )
    & ( op1(e12,e11) = e10
      | op1(e12,e11) = e11
      | op1(e12,e11) = e12
      | op1(e12,e11) = e13 )
    & ( op1(e12,e12) = e10
      | op1(e12,e12) = e11
      | op1(e12,e12) = e12
      | op1(e12,e12) = e13 )
    & ( op1(e12,e13) = e10
      | op1(e12,e13) = e11
      | op1(e12,e13) = e12
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e10) = e11
      | op1(e13,e10) = e12
      | op1(e13,e10) = e13 )
    & ( op1(e13,e11) = e10
      | op1(e13,e11) = e11
      | op1(e13,e11) = e12
      | op1(e13,e11) = e13 )
    & ( op1(e13,e12) = e10
      | op1(e13,e12) = e11
      | op1(e13,e12) = e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) = e10
      | op1(e13,e13) = e11
      | op1(e13,e13) = e12
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax1]) ).

fof(normalize_0_36,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(conjunct,[],[normalize_0_35]) ).

fof(normalize_0_37,plain,
    ( op1(e10,e10) != op1(e10,e11)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e10) != op1(e11,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e12) != op1(e13,e13) ),
    inference(canonicalize,[],[ax5]) ).

fof(normalize_0_38,plain,
    op1(e13,e11) != op1(e13,e12),
    inference(conjunct,[],[normalize_0_37]) ).

fof(normalize_0_39,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(conjunct,[],[normalize_0_37]) ).

fof(normalize_0_40,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(conjunct,[],[normalize_0_37]) ).

fof(normalize_0_41,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e11) = e10
      | op1(e10,e12) = e10
      | op1(e10,e13) = e10 )
    & ( op1(e10,e10) = e10
      | op1(e11,e10) = e10
      | op1(e12,e10) = e10
      | op1(e13,e10) = e10 )
    & ( op1(e10,e10) = e11
      | op1(e10,e11) = e11
      | op1(e10,e12) = e11
      | op1(e10,e13) = e11 )
    & ( op1(e10,e10) = e11
      | op1(e11,e10) = e11
      | op1(e12,e10) = e11
      | op1(e13,e10) = e11 )
    & ( op1(e10,e10) = e12
      | op1(e10,e11) = e12
      | op1(e10,e12) = e12
      | op1(e10,e13) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e10) = e12
      | op1(e12,e10) = e12
      | op1(e13,e10) = e12 )
    & ( op1(e10,e10) = e13
      | op1(e10,e11) = e13
      | op1(e10,e12) = e13
      | op1(e10,e13) = e13 )
    & ( op1(e10,e10) = e13
      | op1(e11,e10) = e13
      | op1(e12,e10) = e13
      | op1(e13,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e11,e11) = e10
      | op1(e12,e11) = e10
      | op1(e13,e11) = e10 )
    & ( op1(e10,e11) = e11
      | op1(e11,e11) = e11
      | op1(e12,e11) = e11
      | op1(e13,e11) = e11 )
    & ( op1(e10,e11) = e12
      | op1(e11,e11) = e12
      | op1(e12,e11) = e12
      | op1(e13,e11) = e12 )
    & ( op1(e10,e11) = e13
      | op1(e11,e11) = e13
      | op1(e12,e11) = e13
      | op1(e13,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e11,e12) = e10
      | op1(e12,e12) = e10
      | op1(e13,e12) = e10 )
    & ( op1(e10,e12) = e11
      | op1(e11,e12) = e11
      | op1(e12,e12) = e11
      | op1(e13,e12) = e11 )
    & ( op1(e10,e12) = e12
      | op1(e11,e12) = e12
      | op1(e12,e12) = e12
      | op1(e13,e12) = e12 )
    & ( op1(e10,e12) = e13
      | op1(e11,e12) = e13
      | op1(e12,e12) = e13
      | op1(e13,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e11,e13) = e10
      | op1(e12,e13) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e13) = e11
      | op1(e11,e13) = e11
      | op1(e12,e13) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e10,e13) = e12
      | op1(e11,e13) = e12
      | op1(e12,e13) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e10,e13) = e13
      | op1(e11,e13) = e13
      | op1(e12,e13) = e13
      | op1(e13,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e11) = e10
      | op1(e11,e12) = e10
      | op1(e11,e13) = e10 )
    & ( op1(e11,e10) = e11
      | op1(e11,e11) = e11
      | op1(e11,e12) = e11
      | op1(e11,e13) = e11 )
    & ( op1(e11,e10) = e12
      | op1(e11,e11) = e12
      | op1(e11,e12) = e12
      | op1(e11,e13) = e12 )
    & ( op1(e11,e10) = e13
      | op1(e11,e11) = e13
      | op1(e11,e12) = e13
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e11) = e10
      | op1(e12,e12) = e10
      | op1(e12,e13) = e10 )
    & ( op1(e12,e10) = e11
      | op1(e12,e11) = e11
      | op1(e12,e12) = e11
      | op1(e12,e13) = e11 )
    & ( op1(e12,e10) = e12
      | op1(e12,e11) = e12
      | op1(e12,e12) = e12
      | op1(e12,e13) = e12 )
    & ( op1(e12,e10) = e13
      | op1(e12,e11) = e13
      | op1(e12,e12) = e13
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e11) = e10
      | op1(e13,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e13,e10) = e11
      | op1(e13,e11) = e11
      | op1(e13,e12) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e13,e10) = e12
      | op1(e13,e11) = e12
      | op1(e13,e12) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e13,e10) = e13
      | op1(e13,e11) = e13
      | op1(e13,e12) = e13
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax2]) ).

fof(normalize_0_42,plain,
    ( op1(e10,e10) = e13
    | op1(e10,e11) = e13
    | op1(e10,e12) = e13
    | op1(e10,e13) = e13 ),
    inference(conjunct,[],[normalize_0_41]) ).

fof(normalize_0_43,plain,
    op1(e10,e12) != op1(e12,e12),
    inference(conjunct,[],[normalize_0_37]) ).

fof(normalize_0_44,plain,
    ( ( ( op1(e10,e10) != e11
        & op1(e11,e11) = e10 )
      | ( op1(e10,e10) != e12
        & op1(e12,e12) = e10 )
      | ( op1(e10,e10) != e13
        & op1(e13,e13) = e10 ) )
    & ( ( op1(e11,e11) != e10
        & op1(e10,e10) = e11 )
      | ( op1(e11,e11) != e12
        & op1(e12,e12) = e11 )
      | ( op1(e11,e11) != e13
        & op1(e13,e13) = e11 ) )
    & ( ( op1(e12,e12) != e10
        & op1(e10,e10) = e12 )
      | ( op1(e12,e12) != e11
        & op1(e11,e11) = e12 )
      | ( op1(e12,e12) != e13
        & op1(e13,e13) = e12 ) )
    & ( ( op1(e13,e13) != e10
        & op1(e10,e10) = e13 )
      | ( op1(e13,e13) != e11
        & op1(e11,e11) = e13 )
      | ( op1(e13,e13) != e12
        & op1(e12,e12) = e13 ) ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_0_45,plain,
    ( ( op1(e12,e12) != e10
      & op1(e10,e10) = e12 )
    | ( op1(e12,e12) != e11
      & op1(e11,e11) = e12 )
    | ( op1(e12,e12) != e13
      & op1(e13,e13) = e12 ) ),
    inference(conjunct,[],[normalize_0_44]) ).

fof(normalize_0_46,plain,
    ( ( op1(e12,e12) != e10
      | op1(e12,e12) != e11
      | op1(e12,e12) != e13 )
    & ( op1(e12,e12) != e10
      | op1(e12,e12) != e11
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e10
      | op1(e12,e12) != e13
      | op1(e11,e11) = e12 )
    & ( op1(e12,e12) != e10
      | op1(e11,e11) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e12) != e13
      | op1(e10,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e10,e10) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e10,e10) = e12
      | op1(e11,e11) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e11) = e12
      | op1(e13,e13) = e12 ) ),
    inference(clausify,[],[normalize_0_45]) ).

fof(normalize_0_47,plain,
    ( op1(e12,e12) != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(conjunct,[],[normalize_0_46]) ).

fof(normalize_0_48,plain,
    ( ( op1(e10,e10) != e11
      & op1(e11,e11) = e10 )
    | ( op1(e10,e10) != e12
      & op1(e12,e12) = e10 )
    | ( op1(e10,e10) != e13
      & op1(e13,e13) = e10 ) ),
    inference(conjunct,[],[normalize_0_44]) ).

fof(normalize_0_49,plain,
    ( ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e10,e10) != e13 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e13
      | op1(e12,e12) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e10) != e13
      | op1(e11,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e11) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e11) = e10
      | op1(e12,e12) = e10 )
    & ( op1(e11,e11) = e10
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 ) ),
    inference(clausify,[],[normalize_0_48]) ).

fof(normalize_0_50,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(conjunct,[],[normalize_0_49]) ).

fof(normalize_0_51,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_0_52,plain,
    e10 != e13,
    inference(conjunct,[],[normalize_0_51]) ).

fof(normalize_0_53,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_0_51]) ).

fof(normalize_0_54,plain,
    e10 != e12,
    inference(conjunct,[],[normalize_0_51]) ).

fof(normalize_0_55,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e11) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(conjunct,[],[normalize_0_41]) ).

fof(normalize_0_56,plain,
    op1(e10,e11) != op1(e11,e11),
    inference(conjunct,[],[normalize_0_37]) ).

fof(normalize_0_57,plain,
    op1(e10,e12) != op1(e13,e12),
    inference(conjunct,[],[normalize_0_37]) ).

fof(normalize_0_58,plain,
    e12 != e13,
    inference(conjunct,[],[normalize_0_51]) ).

fof(normalize_0_59,plain,
    ( op2(e20,e20) != op2(e20,e21)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e20) != op2(e21,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e22) != op2(e23,e23) ),
    inference(canonicalize,[],[ax6]) ).

fof(normalize_0_60,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(conjunct,[],[normalize_0_59]) ).

fof(normalize_0_61,plain,
    h2(e10) = op2(op2(e21,e21),e21),
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_62,plain,
    ( ( ( op2(e20,e20) != e21
        & op2(e21,e21) = e20 )
      | ( op2(e20,e20) != e22
        & op2(e22,e22) = e20 )
      | ( op2(e20,e20) != e23
        & op2(e23,e23) = e20 ) )
    & ( ( op2(e21,e21) != e20
        & op2(e20,e20) = e21 )
      | ( op2(e21,e21) != e22
        & op2(e22,e22) = e21 )
      | ( op2(e21,e21) != e23
        & op2(e23,e23) = e21 ) )
    & ( ( op2(e22,e22) != e20
        & op2(e20,e20) = e22 )
      | ( op2(e22,e22) != e21
        & op2(e21,e21) = e22 )
      | ( op2(e22,e22) != e23
        & op2(e23,e23) = e22 ) )
    & ( ( op2(e23,e23) != e20
        & op2(e20,e20) = e23 )
      | ( op2(e23,e23) != e21
        & op2(e21,e21) = e23 )
      | ( op2(e23,e23) != e22
        & op2(e22,e22) = e23 ) ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_0_63,plain,
    ( ( op2(e20,e20) != e21
      & op2(e21,e21) = e20 )
    | ( op2(e20,e20) != e22
      & op2(e22,e22) = e20 )
    | ( op2(e20,e20) != e23
      & op2(e23,e23) = e20 ) ),
    inference(conjunct,[],[normalize_0_62]) ).

fof(normalize_0_64,plain,
    ( ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e20,e20) != e23 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e23
      | op2(e22,e22) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e20) != e23
      | op2(e21,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e21) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e21) = e20
      | op2(e22,e22) = e20 )
    & ( op2(e21,e21) = e20
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 ) ),
    inference(clausify,[],[normalize_0_63]) ).

fof(normalize_0_65,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(conjunct,[],[normalize_0_64]) ).

fof(normalize_0_66,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_0_67,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_0_66]) ).

fof(normalize_0_68,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_0_66]) ).

fof(normalize_0_69,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e20) = e21
      | op2(e20,e20) = e22
      | op2(e20,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e20,e21) = e21
      | op2(e20,e21) = e22
      | op2(e20,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e20,e22) = e21
      | op2(e20,e22) = e22
      | op2(e20,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e20,e23) = e21
      | op2(e20,e23) = e22
      | op2(e20,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e20) = e21
      | op2(e21,e20) = e22
      | op2(e21,e20) = e23 )
    & ( op2(e21,e21) = e20
      | op2(e21,e21) = e21
      | op2(e21,e21) = e22
      | op2(e21,e21) = e23 )
    & ( op2(e21,e22) = e20
      | op2(e21,e22) = e21
      | op2(e21,e22) = e22
      | op2(e21,e22) = e23 )
    & ( op2(e21,e23) = e20
      | op2(e21,e23) = e21
      | op2(e21,e23) = e22
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e20) = e21
      | op2(e22,e20) = e22
      | op2(e22,e20) = e23 )
    & ( op2(e22,e21) = e20
      | op2(e22,e21) = e21
      | op2(e22,e21) = e22
      | op2(e22,e21) = e23 )
    & ( op2(e22,e22) = e20
      | op2(e22,e22) = e21
      | op2(e22,e22) = e22
      | op2(e22,e22) = e23 )
    & ( op2(e22,e23) = e20
      | op2(e22,e23) = e21
      | op2(e22,e23) = e22
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e20) = e21
      | op2(e23,e20) = e22
      | op2(e23,e20) = e23 )
    & ( op2(e23,e21) = e20
      | op2(e23,e21) = e21
      | op2(e23,e21) = e22
      | op2(e23,e21) = e23 )
    & ( op2(e23,e22) = e20
      | op2(e23,e22) = e21
      | op2(e23,e22) = e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) = e20
      | op2(e23,e23) = e21
      | op2(e23,e23) = e22
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax3]) ).

fof(normalize_0_70,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(conjunct,[],[normalize_0_69]) ).

fof(normalize_0_71,plain,
    op2(e23,e21) != op2(e23,e22),
    inference(conjunct,[],[normalize_0_59]) ).

fof(normalize_0_72,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(conjunct,[],[normalize_0_59]) ).

fof(normalize_0_73,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e21) = e20
      | op2(e20,e22) = e20
      | op2(e20,e23) = e20 )
    & ( op2(e20,e20) = e20
      | op2(e21,e20) = e20
      | op2(e22,e20) = e20
      | op2(e23,e20) = e20 )
    & ( op2(e20,e20) = e21
      | op2(e20,e21) = e21
      | op2(e20,e22) = e21
      | op2(e20,e23) = e21 )
    & ( op2(e20,e20) = e21
      | op2(e21,e20) = e21
      | op2(e22,e20) = e21
      | op2(e23,e20) = e21 )
    & ( op2(e20,e20) = e22
      | op2(e20,e21) = e22
      | op2(e20,e22) = e22
      | op2(e20,e23) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e20) = e22
      | op2(e22,e20) = e22
      | op2(e23,e20) = e22 )
    & ( op2(e20,e20) = e23
      | op2(e20,e21) = e23
      | op2(e20,e22) = e23
      | op2(e20,e23) = e23 )
    & ( op2(e20,e20) = e23
      | op2(e21,e20) = e23
      | op2(e22,e20) = e23
      | op2(e23,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e21,e21) = e20
      | op2(e22,e21) = e20
      | op2(e23,e21) = e20 )
    & ( op2(e20,e21) = e21
      | op2(e21,e21) = e21
      | op2(e22,e21) = e21
      | op2(e23,e21) = e21 )
    & ( op2(e20,e21) = e22
      | op2(e21,e21) = e22
      | op2(e22,e21) = e22
      | op2(e23,e21) = e22 )
    & ( op2(e20,e21) = e23
      | op2(e21,e21) = e23
      | op2(e22,e21) = e23
      | op2(e23,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e21,e22) = e20
      | op2(e22,e22) = e20
      | op2(e23,e22) = e20 )
    & ( op2(e20,e22) = e21
      | op2(e21,e22) = e21
      | op2(e22,e22) = e21
      | op2(e23,e22) = e21 )
    & ( op2(e20,e22) = e22
      | op2(e21,e22) = e22
      | op2(e22,e22) = e22
      | op2(e23,e22) = e22 )
    & ( op2(e20,e22) = e23
      | op2(e21,e22) = e23
      | op2(e22,e22) = e23
      | op2(e23,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e21,e23) = e20
      | op2(e22,e23) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e23) = e21
      | op2(e21,e23) = e21
      | op2(e22,e23) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e20,e23) = e22
      | op2(e21,e23) = e22
      | op2(e22,e23) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e20,e23) = e23
      | op2(e21,e23) = e23
      | op2(e22,e23) = e23
      | op2(e23,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e21) = e20
      | op2(e21,e22) = e20
      | op2(e21,e23) = e20 )
    & ( op2(e21,e20) = e21
      | op2(e21,e21) = e21
      | op2(e21,e22) = e21
      | op2(e21,e23) = e21 )
    & ( op2(e21,e20) = e22
      | op2(e21,e21) = e22
      | op2(e21,e22) = e22
      | op2(e21,e23) = e22 )
    & ( op2(e21,e20) = e23
      | op2(e21,e21) = e23
      | op2(e21,e22) = e23
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e21) = e20
      | op2(e22,e22) = e20
      | op2(e22,e23) = e20 )
    & ( op2(e22,e20) = e21
      | op2(e22,e21) = e21
      | op2(e22,e22) = e21
      | op2(e22,e23) = e21 )
    & ( op2(e22,e20) = e22
      | op2(e22,e21) = e22
      | op2(e22,e22) = e22
      | op2(e22,e23) = e22 )
    & ( op2(e22,e20) = e23
      | op2(e22,e21) = e23
      | op2(e22,e22) = e23
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e21) = e20
      | op2(e23,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e23,e20) = e21
      | op2(e23,e21) = e21
      | op2(e23,e22) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e23,e20) = e22
      | op2(e23,e21) = e22
      | op2(e23,e22) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e23,e20) = e23
      | op2(e23,e21) = e23
      | op2(e23,e22) = e23
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax4]) ).

fof(normalize_0_74,plain,
    ( op2(e20,e20) = e23
    | op2(e20,e21) = e23
    | op2(e20,e22) = e23
    | op2(e20,e23) = e23 ),
    inference(conjunct,[],[normalize_0_73]) ).

fof(normalize_0_75,plain,
    op2(e20,e22) != op2(e22,e22),
    inference(conjunct,[],[normalize_0_59]) ).

fof(normalize_0_76,plain,
    ( ( op2(e22,e22) != e20
      & op2(e20,e20) = e22 )
    | ( op2(e22,e22) != e21
      & op2(e21,e21) = e22 )
    | ( op2(e22,e22) != e23
      & op2(e23,e23) = e22 ) ),
    inference(conjunct,[],[normalize_0_62]) ).

fof(normalize_0_77,plain,
    ( ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e23
      | op2(e21,e21) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e22) != e23
      | op2(e20,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e20,e20) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e20,e20) = e22
      | op2(e21,e21) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 ) ),
    inference(clausify,[],[normalize_0_76]) ).

fof(normalize_0_78,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(conjunct,[],[normalize_0_77]) ).

fof(normalize_0_79,plain,
    e20 != e22,
    inference(conjunct,[],[normalize_0_66]) ).

fof(normalize_0_80,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(conjunct,[],[normalize_0_73]) ).

fof(normalize_0_81,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e22) = e21
    | op2(e20,e22) = e22
    | op2(e20,e22) = e23 ),
    inference(conjunct,[],[normalize_0_69]) ).

fof(normalize_0_82,plain,
    op2(e20,e22) != op2(e23,e22),
    inference(conjunct,[],[normalize_0_59]) ).

fof(normalize_0_83,plain,
    op2(e20,e20) != op2(e20,e22),
    inference(conjunct,[],[normalize_0_59]) ).

fof(normalize_0_84,plain,
    op2(e20,e21) != op2(e21,e21),
    inference(conjunct,[],[normalize_0_59]) ).

fof(normalize_0_85,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_0_66]) ).

fof(normalize_0_86,plain,
    ( op1(e13,e10) = e13
    | op1(e13,e11) = e13
    | op1(e13,e12) = e13
    | op1(e13,e13) = e13 ),
    inference(conjunct,[],[normalize_0_41]) ).

fof(normalize_0_87,plain,
    op1(e12,e12) != op1(e13,e12),
    inference(conjunct,[],[normalize_0_37]) ).

fof(normalize_0_88,plain,
    e11 != e13,
    inference(conjunct,[],[normalize_0_51]) ).

fof(normalize_0_89,plain,
    ( op2(e20,e20) = e23
    | op2(e21,e20) = e23
    | op2(e22,e20) = e23
    | op2(e23,e20) = e23 ),
    inference(conjunct,[],[normalize_0_73]) ).

fof(normalize_0_90,plain,
    op2(e22,e20) != op2(e22,e22),
    inference(conjunct,[],[normalize_0_59]) ).

fof(normalize_0_91,plain,
    op2(e21,e20) != op2(e21,e23),
    inference(conjunct,[],[normalize_0_59]) ).

fof(normalize_0_92,plain,
    ( op2(e21,e23) = e20
    | op2(e21,e23) = e21
    | op2(e21,e23) = e22
    | op2(e21,e23) = e23 ),
    inference(conjunct,[],[normalize_0_69]) ).

fof(normalize_0_93,plain,
    op2(e21,e21) != op2(e21,e23),
    inference(conjunct,[],[normalize_0_59]) ).

fof(normalize_0_94,plain,
    op2(e21,e23) != op2(e23,e23),
    inference(conjunct,[],[normalize_0_59]) ).

fof(normalize_0_95,plain,
    op2(e21,e22) != op2(e21,e23),
    inference(conjunct,[],[normalize_0_59]) ).

fof(normalize_0_96,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e22,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(conjunct,[],[normalize_0_73]) ).

fof(normalize_0_97,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_0_66]) ).

fof(normalize_0_98,plain,
    ( op1(e12,e13) = e10
    | op1(e12,e13) = e11
    | op1(e12,e13) = e12
    | op1(e12,e13) = e13 ),
    inference(conjunct,[],[normalize_0_35]) ).

fof(normalize_0_99,plain,
    op1(e12,e12) != op1(e12,e13),
    inference(conjunct,[],[normalize_0_37]) ).

fof(normalize_0_100,plain,
    op1(e10,e13) != op1(e12,e13),
    inference(conjunct,[],[normalize_0_37]) ).

fof(normalize_0_101,plain,
    op1(e12,e13) != op1(e13,e13),
    inference(conjunct,[],[normalize_0_37]) ).

fof(normalize_0_102,plain,
    ( op2(e22,e23) = e20
    | op2(e22,e23) = e21
    | op2(e22,e23) = e22
    | op2(e22,e23) = e23 ),
    inference(conjunct,[],[normalize_0_69]) ).

fof(normalize_0_103,plain,
    op2(e22,e22) != op2(e22,e23),
    inference(conjunct,[],[normalize_0_59]) ).

fof(normalize_0_104,plain,
    op2(e22,e20) != op2(e22,e23),
    inference(conjunct,[],[normalize_0_59]) ).

fof(normalize_0_105,plain,
    h1(e10) = op2(op2(e20,e20),e20),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_106,plain,
    op2(e20,e23) != op2(e22,e23),
    inference(conjunct,[],[normalize_0_59]) ).

fof(normalize_0_107,plain,
    ( op2(e22,e20) = e20
    | op2(e22,e21) = e20
    | op2(e22,e22) = e20
    | op2(e22,e23) = e20 ),
    inference(conjunct,[],[normalize_0_73]) ).

fof(normalize_0_108,plain,
    op2(e21,e21) != op2(e22,e21),
    inference(conjunct,[],[normalize_0_59]) ).

fof(normalize_0_109,plain,
    op2(e22,e23) != op2(e23,e23),
    inference(conjunct,[],[normalize_0_59]) ).

fof(normalize_0_110,plain,
    op1(e12,e11) != op1(e12,e13),
    inference(conjunct,[],[normalize_0_37]) ).

fof(normalize_0_111,plain,
    ( op1(e12,e11) = e10
    | op1(e12,e11) = e11
    | op1(e12,e11) = e12
    | op1(e12,e11) = e13 ),
    inference(conjunct,[],[normalize_0_35]) ).

fof(normalize_0_112,plain,
    op1(e12,e11) != op1(e12,e12),
    inference(conjunct,[],[normalize_0_37]) ).

fof(normalize_0_113,plain,
    op1(e11,e11) != op1(e12,e11),
    inference(conjunct,[],[normalize_0_37]) ).

fof(normalize_0_114,plain,
    ( op2(e22,e21) = e20
    | op2(e22,e21) = e21
    | op2(e22,e21) = e22
    | op2(e22,e21) = e23 ),
    inference(conjunct,[],[normalize_0_69]) ).

fof(normalize_0_115,plain,
    op2(e22,e21) != op2(e22,e22),
    inference(conjunct,[],[normalize_0_59]) ).

fof(normalize_0_116,plain,
    op2(e22,e21) != op2(e23,e21),
    inference(conjunct,[],[normalize_0_59]) ).

fof(normalize_0_117,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e10) = e10
    | op1(e12,e10) = e10
    | op1(e13,e10) = e10 ),
    inference(conjunct,[],[normalize_0_41]) ).

fof(normalize_0_118,plain,
    op1(e11,e10) != op1(e11,e11),
    inference(conjunct,[],[normalize_0_37]) ).

fof(normalize_0_119,plain,
    op1(e13,e10) != op1(e13,e12),
    inference(conjunct,[],[normalize_0_37]) ).

fof(normalize_0_120,plain,
    ( op1(e10,e13) = e13
    | op1(e11,e13) = e13
    | op1(e12,e13) = e13
    | op1(e13,e13) = e13 ),
    inference(conjunct,[],[normalize_0_41]) ).

fof(normalize_0_121,plain,
    ( op1(e11,e12) = e10
    | op1(e11,e12) = e11
    | op1(e11,e12) = e12
    | op1(e11,e12) = e13 ),
    inference(conjunct,[],[normalize_0_35]) ).

fof(normalize_0_122,plain,
    op1(e11,e12) != op1(e12,e12),
    inference(conjunct,[],[normalize_0_37]) ).

fof(normalize_0_123,plain,
    op1(e11,e12) != op1(e13,e12),
    inference(conjunct,[],[normalize_0_37]) ).

fof(normalize_0_124,plain,
    op1(e10,e12) != op1(e11,e12),
    inference(conjunct,[],[normalize_0_37]) ).

fof(normalize_0_125,plain,
    ( op1(e10,e12) = e10
    | op1(e10,e12) = e11
    | op1(e10,e12) = e12
    | op1(e10,e12) = e13 ),
    inference(conjunct,[],[normalize_0_35]) ).

fof(normalize_0_126,plain,
    op1(e10,e10) != op1(e10,e12),
    inference(conjunct,[],[normalize_0_37]) ).

fof(normalize_0_127,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e10) = e11
    | op1(e11,e10) = e12
    | op1(e11,e10) = e13 ),
    inference(conjunct,[],[normalize_0_35]) ).

fof(normalize_0_128,plain,
    op1(e10,e10) != op1(e11,e10),
    inference(conjunct,[],[normalize_0_37]) ).

fof(normalize_0_129,plain,
    op1(e11,e10) != op1(e11,e13),
    inference(conjunct,[],[normalize_0_37]) ).

fof(normalize_0_130,plain,
    ( op2(e20,e20) = e21
    | op2(e21,e20) = e21
    | op2(e22,e20) = e21
    | op2(e23,e20) = e21 ),
    inference(conjunct,[],[normalize_0_73]) ).

fof(normalize_0_131,plain,
    e21 != e23,
    inference(conjunct,[],[normalize_0_66]) ).

cnf(refute_0_0,plain,
    ( h3(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))
    | definitionFOFtoCNF_4
    | definitionFOFtoCNF_5 ),
    inference(canonicalize,[],[normalize_0_14]) ).

cnf(refute_0_1,plain,
    h3(e11) = op2(op2(e22,e22),op2(e22,e22)),
    inference(canonicalize,[],[normalize_0_15]) ).

cnf(refute_0_2,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(canonicalize,[],[normalize_0_17]) ).

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

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

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

cnf(refute_0_6,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = e21 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(op2(e22,e22),op2(e22,e22))))]]) ).

cnf(refute_0_7,plain,
    op2(op2(e22,e22),op2(e22,e22)) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_0_2,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( h3(e11) != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) != e21
    | h3(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),e21) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_0_9,plain,
    ( h3(e11) != op2(op2(e22,e22),op2(e22,e22))
    | h3(e11) = e21 ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),e21) )],[refute_0_7,refute_0_8]) ).

cnf(refute_0_10,plain,
    h3(e11) = e21,
    inference(resolve,[$cnf( $equal(h3(e11),op2(op2(e22,e22),op2(e22,e22))) )],[refute_0_1,refute_0_9]) ).

cnf(refute_0_11,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(canonicalize,[],[normalize_0_19]) ).

cnf(refute_0_12,plain,
    e13 = op1(e12,e12),
    inference(canonicalize,[],[normalize_0_20]) ).

cnf(refute_0_13,plain,
    ( e13 != op1(e12,e12)
    | op1(e12,e12) = e13 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).

cnf(refute_0_14,plain,
    op1(e12,e12) = e13,
    inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_0_12,refute_0_13]) ).

cnf(refute_0_15,plain,
    op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).

cnf(refute_0_16,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).

cnf(refute_0_17,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_0_15,refute_0_16]) ).

cnf(refute_0_18,plain,
    op1(e13,op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_14,refute_0_17]) ).

cnf(refute_0_19,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_0_20,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).

cnf(refute_0_21,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_0_19,refute_0_20]) ).

cnf(refute_0_22,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_14,refute_0_21]) ).

cnf(refute_0_23,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_24,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_5,refute_0_23]) ).

cnf(refute_0_25,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).

cnf(refute_0_26,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_0_22,refute_0_25]) ).

cnf(refute_0_27,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_0_18,refute_0_26]) ).

cnf(refute_0_28,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
    | e11 = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_0_29,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | e11 = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_0_27,refute_0_28]) ).

cnf(refute_0_30,plain,
    e11 = op1(e13,e13),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_0_11,refute_0_29]) ).

cnf(refute_0_31,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_0_32,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_0_30,refute_0_31]) ).

cnf(refute_0_33,plain,
    h3(op1(e13,e13)) = h3(op1(e13,e13)),
    introduced(tautology,[refl,[$fot(h3(op1(e13,e13)))]]) ).

cnf(refute_0_34,plain,
    ( h3(op1(e13,e13)) != h3(op1(e13,e13))
    | op1(e13,e13) != e11
    | h3(op1(e13,e13)) = h3(e11) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e13)),h3(op1(e13,e13))) ),[1,0],$fot(e11)]]) ).

cnf(refute_0_35,plain,
    ( op1(e13,e13) != e11
    | h3(op1(e13,e13)) = h3(e11) ),
    inference(resolve,[$cnf( $equal(h3(op1(e13,e13)),h3(op1(e13,e13))) )],[refute_0_33,refute_0_34]) ).

cnf(refute_0_36,plain,
    h3(op1(e13,e13)) = h3(e11),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_32,refute_0_35]) ).

cnf(refute_0_37,plain,
    ( h3(e11) != e21
    | h3(op1(e13,e13)) != h3(e11)
    | h3(op1(e13,e13)) = e21 ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(h3(op1(e13,e13)))),bind(Y,$fot(h3(e11))),bind(Z,$fot(e21))]]) ).

cnf(refute_0_38,plain,
    ( h3(e11) != e21
    | h3(op1(e13,e13)) = e21 ),
    inference(resolve,[$cnf( $equal(h3(op1(e13,e13)),h3(e11)) )],[refute_0_36,refute_0_37]) ).

cnf(refute_0_39,plain,
    h3(op1(e13,e13)) = e21,
    inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_0_10,refute_0_38]) ).

cnf(refute_0_40,plain,
    ( e21 != op2(h3(e13),h3(e13))
    | h3(op1(e13,e13)) != e21
    | h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e13)),e21) ),[1],$fot(op2(h3(e13),h3(e13)))]]) ).

cnf(refute_0_41,plain,
    ( e21 != op2(h3(e13),h3(e13))
    | h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
    inference(resolve,[$cnf( $equal(h3(op1(e13,e13)),e21) )],[refute_0_39,refute_0_40]) ).

cnf(refute_0_42,plain,
    h4(e13) = op2(e23,e23),
    inference(canonicalize,[],[normalize_0_22]) ).

cnf(refute_0_43,plain,
    ( h4(e13) != op2(e23,e23)
    | op2(e23,e23) = h4(e13) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_0_44,plain,
    op2(e23,e23) = h4(e13),
    inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_0_42,refute_0_43]) ).

cnf(refute_0_45,plain,
    e23 = op2(e22,e22),
    inference(canonicalize,[],[normalize_0_23]) ).

cnf(refute_0_46,plain,
    ( e23 != op2(e22,e22)
    | op2(e22,e22) = e23 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_0_47,plain,
    op2(e22,e22) = e23,
    inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_0_45,refute_0_46]) ).

cnf(refute_0_48,plain,
    op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).

cnf(refute_0_49,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).

cnf(refute_0_50,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_0_48,refute_0_49]) ).

cnf(refute_0_51,plain,
    op2(e23,op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_47,refute_0_50]) ).

cnf(refute_0_52,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_0_53,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).

cnf(refute_0_54,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_0_52,refute_0_53]) ).

cnf(refute_0_55,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_47,refute_0_54]) ).

cnf(refute_0_56,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).

cnf(refute_0_57,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_0_55,refute_0_56]) ).

cnf(refute_0_58,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_0_51,refute_0_57]) ).

cnf(refute_0_59,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).

cnf(refute_0_60,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_0_58,refute_0_59]) ).

cnf(refute_0_61,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_0_44,refute_0_60]) ).

cnf(refute_0_62,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
    | e21 = h4(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_0_63,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | e21 = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_0_61,refute_0_62]) ).

cnf(refute_0_64,plain,
    e21 = h4(e13),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_0_2,refute_0_63]) ).

cnf(refute_0_65,plain,
    ( e21 != h4(e13)
    | h4(e13) = e21 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).

cnf(refute_0_66,plain,
    h4(e13) = e21,
    inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_0_64,refute_0_65]) ).

cnf(refute_0_67,plain,
    ( h4(e13) != e21
    | h4(e13) != op2(e23,e23)
    | e21 = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e23,e23)) ),[0],$fot(e21)]]) ).

cnf(refute_0_68,plain,
    ( h4(e13) != op2(e23,e23)
    | e21 = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_0_66,refute_0_67]) ).

cnf(refute_0_69,plain,
    e21 = op2(e23,e23),
    inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_0_42,refute_0_68]) ).

cnf(refute_0_70,plain,
    ( e21 != op2(e23,e23)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_0_71,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_0_69,refute_0_70]) ).

cnf(refute_0_72,plain,
    op2(e23,h3(e13)) = op2(e23,h3(e13)),
    introduced(tautology,[refl,[$fot(op2(e23,h3(e13)))]]) ).

cnf(refute_0_73,plain,
    ( h3(e13) != e23
    | op2(e23,h3(e13)) != op2(e23,h3(e13))
    | op2(e23,h3(e13)) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,h3(e13)),op2(e23,h3(e13))) ),[1,1],$fot(e23)]]) ).

cnf(refute_0_74,plain,
    ( h3(e13) != e23
    | op2(e23,h3(e13)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,h3(e13)),op2(e23,h3(e13))) )],[refute_0_72,refute_0_73]) ).

cnf(refute_0_75,plain,
    op2(h3(e13),h3(e13)) = op2(h3(e13),h3(e13)),
    introduced(tautology,[refl,[$fot(op2(h3(e13),h3(e13)))]]) ).

cnf(refute_0_76,plain,
    ( h3(e13) != e23
    | op2(h3(e13),h3(e13)) != op2(h3(e13),h3(e13))
    | op2(h3(e13),h3(e13)) = op2(e23,h3(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h3(e13),h3(e13)),op2(h3(e13),h3(e13))) ),[1,0],$fot(e23)]]) ).

cnf(refute_0_77,plain,
    ( h3(e13) != e23
    | op2(h3(e13),h3(e13)) = op2(e23,h3(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e13)),op2(h3(e13),h3(e13))) )],[refute_0_75,refute_0_76]) ).

cnf(refute_0_78,plain,
    ( op2(e23,h3(e13)) != op2(e23,e23)
    | op2(h3(e13),h3(e13)) != op2(e23,h3(e13))
    | op2(h3(e13),h3(e13)) = op2(e23,e23) ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(op2(h3(e13),h3(e13)))),bind(Y,$fot(op2(e23,h3(e13)))),bind(Z,$fot(op2(e23,e23)))]]) ).

cnf(refute_0_79,plain,
    ( h3(e13) != e23
    | op2(e23,h3(e13)) != op2(e23,e23)
    | op2(h3(e13),h3(e13)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e13)),op2(e23,h3(e13))) )],[refute_0_77,refute_0_78]) ).

cnf(refute_0_80,plain,
    ( h3(e13) != e23
    | op2(h3(e13),h3(e13)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,h3(e13)),op2(e23,e23)) )],[refute_0_74,refute_0_79]) ).

cnf(refute_0_81,plain,
    ( op2(e23,e23) != e21
    | op2(h3(e13),h3(e13)) != op2(e23,e23)
    | op2(h3(e13),h3(e13)) = e21 ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(op2(h3(e13),h3(e13)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(e21))]]) ).

cnf(refute_0_82,plain,
    ( h3(e13) != e23
    | op2(e23,e23) != e21
    | op2(h3(e13),h3(e13)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e13)),op2(e23,e23)) )],[refute_0_80,refute_0_81]) ).

cnf(refute_0_83,plain,
    ( h3(e13) != e23
    | op2(h3(e13),h3(e13)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_71,refute_0_82]) ).

cnf(refute_0_84,plain,
    ( e21 != e21
    | op2(h3(e13),h3(e13)) != e21
    | e21 = op2(h3(e13),h3(e13)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(h3(e13),h3(e13))) ),[1],$fot(e21)]]) ).

cnf(refute_0_85,plain,
    ( e21 != e21
    | h3(e13) != e23
    | e21 = op2(h3(e13),h3(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e13)),e21) )],[refute_0_83,refute_0_84]) ).

cnf(refute_0_86,plain,
    ( e21 != e21
    | h3(e13) != e23
    | h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
    inference(resolve,[$cnf( $equal(e21,op2(h3(e13),h3(e13))) )],[refute_0_85,refute_0_41]) ).

cnf(refute_0_87,plain,
    ( e21 != e21
    | h3(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))
    | definitionFOFtoCNF_4
    | definitionFOFtoCNF_5 ),
    inference(resolve,[$cnf( $equal(h3(op1(e13,e13)),op2(h3(e13),h3(e13))) )],[refute_0_86,refute_0_0]) ).

cnf(refute_0_88,plain,
    h3(e10) = op2(op2(e22,e22),e22),
    inference(canonicalize,[],[normalize_0_24]) ).

cnf(refute_0_89,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(canonicalize,[],[normalize_0_25]) ).

cnf(refute_0_90,plain,
    ( e20 != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) = e20 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e22,e22),e22)))]]) ).

cnf(refute_0_91,plain,
    op2(op2(e22,e22),e22) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_0_89,refute_0_90]) ).

cnf(refute_0_92,plain,
    ( h3(e10) != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) != e20
    | h3(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),e20) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).

cnf(refute_0_93,plain,
    ( h3(e10) != op2(op2(e22,e22),e22)
    | h3(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),e20) )],[refute_0_91,refute_0_92]) ).

cnf(refute_0_94,plain,
    h3(e10) = e20,
    inference(resolve,[$cnf( $equal(h3(e10),op2(op2(e22,e22),e22)) )],[refute_0_88,refute_0_93]) ).

cnf(refute_0_95,plain,
    e10 = op1(op1(e12,e12),e12),
    inference(canonicalize,[],[normalize_0_26]) ).

cnf(refute_0_96,plain,
    op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
    introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).

cnf(refute_0_97,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
    | op1(op1(e12,e12),e12) = op1(e13,e12) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).

cnf(refute_0_98,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),e12) = op1(e13,e12) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_0_96,refute_0_97]) ).

cnf(refute_0_99,plain,
    op1(op1(e12,e12),e12) = op1(e13,e12),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_14,refute_0_98]) ).

cnf(refute_0_100,plain,
    ( e10 != op1(op1(e12,e12),e12)
    | op1(op1(e12,e12),e12) != op1(e13,e12)
    | e10 = op1(e13,e12) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(op1(e12,e12),e12))]]) ).

cnf(refute_0_101,plain,
    ( e10 != op1(op1(e12,e12),e12)
    | e10 = op1(e13,e12) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_0_99,refute_0_100]) ).

cnf(refute_0_102,plain,
    e10 = op1(e13,e12),
    inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),e12)) )],[refute_0_95,refute_0_101]) ).

cnf(refute_0_103,plain,
    ( e10 != op1(e13,e12)
    | op1(e13,e12) = e10 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).

cnf(refute_0_104,plain,
    op1(e13,e12) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_0_102,refute_0_103]) ).

cnf(refute_0_105,plain,
    h3(op1(e13,e12)) = h3(op1(e13,e12)),
    introduced(tautology,[refl,[$fot(h3(op1(e13,e12)))]]) ).

cnf(refute_0_106,plain,
    ( h3(op1(e13,e12)) != h3(op1(e13,e12))
    | op1(e13,e12) != e10
    | h3(op1(e13,e12)) = h3(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e12)),h3(op1(e13,e12))) ),[1,0],$fot(e10)]]) ).

cnf(refute_0_107,plain,
    ( op1(e13,e12) != e10
    | h3(op1(e13,e12)) = h3(e10) ),
    inference(resolve,[$cnf( $equal(h3(op1(e13,e12)),h3(op1(e13,e12))) )],[refute_0_105,refute_0_106]) ).

cnf(refute_0_108,plain,
    h3(op1(e13,e12)) = h3(e10),
    inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_0_104,refute_0_107]) ).

cnf(refute_0_109,plain,
    ( h3(e10) != e20
    | h3(op1(e13,e12)) != h3(e10)
    | h3(op1(e13,e12)) = e20 ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(h3(op1(e13,e12)))),bind(Y,$fot(h3(e10))),bind(Z,$fot(e20))]]) ).

cnf(refute_0_110,plain,
    ( h3(e10) != e20
    | h3(op1(e13,e12)) = e20 ),
    inference(resolve,[$cnf( $equal(h3(op1(e13,e12)),h3(e10)) )],[refute_0_108,refute_0_109]) ).

cnf(refute_0_111,plain,
    h3(op1(e13,e12)) = e20,
    inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_0_94,refute_0_110]) ).

cnf(refute_0_112,plain,
    ( e20 != op2(h3(e13),h3(e12))
    | h3(op1(e13,e12)) != e20
    | h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e12)),e20) ),[1],$fot(op2(h3(e13),h3(e12)))]]) ).

cnf(refute_0_113,plain,
    ( e20 != op2(h3(e13),h3(e12))
    | h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
    inference(resolve,[$cnf( $equal(h3(op1(e13,e12)),e20) )],[refute_0_111,refute_0_112]) ).

cnf(refute_0_114,plain,
    op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).

cnf(refute_0_115,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).

cnf(refute_0_116,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),e22) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_0_114,refute_0_115]) ).

cnf(refute_0_117,plain,
    op2(op2(e22,e22),e22) = op2(e23,e22),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_47,refute_0_116]) ).

cnf(refute_0_118,plain,
    ( e20 != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) != op2(e23,e22)
    | e20 = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).

cnf(refute_0_119,plain,
    ( e20 != op2(op2(e22,e22),e22)
    | e20 = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_0_117,refute_0_118]) ).

cnf(refute_0_120,plain,
    e20 = op2(e23,e22),
    inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_0_89,refute_0_119]) ).

cnf(refute_0_121,plain,
    ( e20 != op2(e23,e22)
    | op2(e23,e22) = e20 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).

cnf(refute_0_122,plain,
    op2(e23,e22) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_0_120,refute_0_121]) ).

cnf(refute_0_123,plain,
    h3(e12) = e22,
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_124,plain,
    op2(e23,h3(e12)) = op2(e23,h3(e12)),
    introduced(tautology,[refl,[$fot(op2(e23,h3(e12)))]]) ).

cnf(refute_0_125,plain,
    ( h3(e12) != e22
    | op2(e23,h3(e12)) != op2(e23,h3(e12))
    | op2(e23,h3(e12)) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,h3(e12)),op2(e23,h3(e12))) ),[1,1],$fot(e22)]]) ).

cnf(refute_0_126,plain,
    ( h3(e12) != e22
    | op2(e23,h3(e12)) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(e23,h3(e12)),op2(e23,h3(e12))) )],[refute_0_124,refute_0_125]) ).

cnf(refute_0_127,plain,
    op2(e23,h3(e12)) = op2(e23,e22),
    inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_0_123,refute_0_126]) ).

cnf(refute_0_128,plain,
    op2(h3(e13),h3(e12)) = op2(h3(e13),h3(e12)),
    introduced(tautology,[refl,[$fot(op2(h3(e13),h3(e12)))]]) ).

cnf(refute_0_129,plain,
    ( h3(e13) != e23
    | op2(h3(e13),h3(e12)) != op2(h3(e13),h3(e12))
    | op2(h3(e13),h3(e12)) = op2(e23,h3(e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h3(e13),h3(e12)),op2(h3(e13),h3(e12))) ),[1,0],$fot(e23)]]) ).

cnf(refute_0_130,plain,
    ( h3(e13) != e23
    | op2(h3(e13),h3(e12)) = op2(e23,h3(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e12)),op2(h3(e13),h3(e12))) )],[refute_0_128,refute_0_129]) ).

cnf(refute_0_131,plain,
    ( op2(e23,h3(e12)) != op2(e23,e22)
    | op2(h3(e13),h3(e12)) != op2(e23,h3(e12))
    | op2(h3(e13),h3(e12)) = op2(e23,e22) ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(op2(h3(e13),h3(e12)))),bind(Y,$fot(op2(e23,h3(e12)))),bind(Z,$fot(op2(e23,e22)))]]) ).

cnf(refute_0_132,plain,
    ( h3(e13) != e23
    | op2(e23,h3(e12)) != op2(e23,e22)
    | op2(h3(e13),h3(e12)) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e12)),op2(e23,h3(e12))) )],[refute_0_130,refute_0_131]) ).

cnf(refute_0_133,plain,
    ( h3(e13) != e23
    | op2(h3(e13),h3(e12)) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(e23,h3(e12)),op2(e23,e22)) )],[refute_0_127,refute_0_132]) ).

cnf(refute_0_134,plain,
    ( op2(e23,e22) != e20
    | op2(h3(e13),h3(e12)) != op2(e23,e22)
    | op2(h3(e13),h3(e12)) = e20 ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(op2(h3(e13),h3(e12)))),bind(Y,$fot(op2(e23,e22))),bind(Z,$fot(e20))]]) ).

cnf(refute_0_135,plain,
    ( h3(e13) != e23
    | op2(e23,e22) != e20
    | op2(h3(e13),h3(e12)) = e20 ),
    inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e12)),op2(e23,e22)) )],[refute_0_133,refute_0_134]) ).

cnf(refute_0_136,plain,
    ( h3(e13) != e23
    | op2(h3(e13),h3(e12)) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_0_122,refute_0_135]) ).

cnf(refute_0_137,plain,
    ( e20 != e20
    | op2(h3(e13),h3(e12)) != e20
    | e20 = op2(h3(e13),h3(e12)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(h3(e13),h3(e12))) ),[1],$fot(e20)]]) ).

cnf(refute_0_138,plain,
    ( e20 != e20
    | h3(e13) != e23
    | e20 = op2(h3(e13),h3(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e12)),e20) )],[refute_0_136,refute_0_137]) ).

cnf(refute_0_139,plain,
    ( e20 != e20
    | h3(e13) != e23
    | h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
    inference(resolve,[$cnf( $equal(e20,op2(h3(e13),h3(e12))) )],[refute_0_138,refute_0_113]) ).

cnf(refute_0_140,plain,
    ( e20 != e20
    | e21 != e21
    | h3(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))
    | definitionFOFtoCNF_4
    | definitionFOFtoCNF_5 ),
    inference(resolve,[$cnf( $equal(h3(op1(e13,e12)),op2(h3(e13),h3(e12))) )],[refute_0_139,refute_0_87]) ).

cnf(refute_0_141,plain,
    op2(e23,h3(e11)) = op2(e23,h3(e11)),
    introduced(tautology,[refl,[$fot(op2(e23,h3(e11)))]]) ).

cnf(refute_0_142,plain,
    ( h3(e11) != e21
    | op2(e23,h3(e11)) != op2(e23,h3(e11))
    | op2(e23,h3(e11)) = op2(e23,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,h3(e11)),op2(e23,h3(e11))) ),[1,1],$fot(e21)]]) ).

cnf(refute_0_143,plain,
    ( h3(e11) != e21
    | op2(e23,h3(e11)) = op2(e23,e21) ),
    inference(resolve,[$cnf( $equal(op2(e23,h3(e11)),op2(e23,h3(e11))) )],[refute_0_141,refute_0_142]) ).

cnf(refute_0_144,plain,
    op2(e23,h3(e11)) = op2(e23,e21),
    inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_0_10,refute_0_143]) ).

cnf(refute_0_145,plain,
    op2(h3(e13),h3(e11)) = op2(h3(e13),h3(e11)),
    introduced(tautology,[refl,[$fot(op2(h3(e13),h3(e11)))]]) ).

cnf(refute_0_146,plain,
    ( h3(e13) != e23
    | op2(h3(e13),h3(e11)) != op2(h3(e13),h3(e11))
    | op2(h3(e13),h3(e11)) = op2(e23,h3(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h3(e13),h3(e11)),op2(h3(e13),h3(e11))) ),[1,0],$fot(e23)]]) ).

cnf(refute_0_147,plain,
    ( h3(e13) != e23
    | op2(h3(e13),h3(e11)) = op2(e23,h3(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e11)),op2(h3(e13),h3(e11))) )],[refute_0_145,refute_0_146]) ).

cnf(refute_0_148,plain,
    ( op2(e23,h3(e11)) != op2(e23,e21)
    | op2(h3(e13),h3(e11)) != op2(e23,h3(e11))
    | op2(h3(e13),h3(e11)) = op2(e23,e21) ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(op2(h3(e13),h3(e11)))),bind(Y,$fot(op2(e23,h3(e11)))),bind(Z,$fot(op2(e23,e21)))]]) ).

cnf(refute_0_149,plain,
    ( h3(e13) != e23
    | op2(e23,h3(e11)) != op2(e23,e21)
    | op2(h3(e13),h3(e11)) = op2(e23,e21) ),
    inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e11)),op2(e23,h3(e11))) )],[refute_0_147,refute_0_148]) ).

cnf(refute_0_150,plain,
    ( h3(e13) != e23
    | op2(h3(e13),h3(e11)) = op2(e23,e21) ),
    inference(resolve,[$cnf( $equal(op2(e23,h3(e11)),op2(e23,e21)) )],[refute_0_144,refute_0_149]) ).

cnf(refute_0_151,plain,
    ( h3(op1(e13,e11)) != op2(e23,e21)
    | op2(h3(e13),h3(e11)) != op2(e23,e21)
    | h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e13,e11)),op2(h3(e13),h3(e11))) ),[1],$fot(op2(e23,e21))]]) ).

cnf(refute_0_152,plain,
    ( h3(e13) != e23
    | h3(op1(e13,e11)) != op2(e23,e21)
    | h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e11)),op2(e23,e21)) )],[refute_0_150,refute_0_151]) ).

cnf(refute_0_153,plain,
    ( e20 != e20
    | e21 != e21
    | h3(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(e23,e21)
    | definitionFOFtoCNF_4
    | definitionFOFtoCNF_5 ),
    inference(resolve,[$cnf( $equal(h3(op1(e13,e11)),op2(h3(e13),h3(e11))) )],[refute_0_152,refute_0_140]) ).

cnf(refute_0_154,plain,
    op2(e23,h3(e10)) = op2(e23,h3(e10)),
    introduced(tautology,[refl,[$fot(op2(e23,h3(e10)))]]) ).

cnf(refute_0_155,plain,
    ( h3(e10) != e20
    | op2(e23,h3(e10)) != op2(e23,h3(e10))
    | op2(e23,h3(e10)) = op2(e23,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,h3(e10)),op2(e23,h3(e10))) ),[1,1],$fot(e20)]]) ).

cnf(refute_0_156,plain,
    ( h3(e10) != e20
    | op2(e23,h3(e10)) = op2(e23,e20) ),
    inference(resolve,[$cnf( $equal(op2(e23,h3(e10)),op2(e23,h3(e10))) )],[refute_0_154,refute_0_155]) ).

cnf(refute_0_157,plain,
    op2(e23,h3(e10)) = op2(e23,e20),
    inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_0_94,refute_0_156]) ).

cnf(refute_0_158,plain,
    op2(h3(e13),h3(e10)) = op2(h3(e13),h3(e10)),
    introduced(tautology,[refl,[$fot(op2(h3(e13),h3(e10)))]]) ).

cnf(refute_0_159,plain,
    ( h3(e13) != e23
    | op2(h3(e13),h3(e10)) != op2(h3(e13),h3(e10))
    | op2(h3(e13),h3(e10)) = op2(e23,h3(e10)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h3(e13),h3(e10)),op2(h3(e13),h3(e10))) ),[1,0],$fot(e23)]]) ).

cnf(refute_0_160,plain,
    ( h3(e13) != e23
    | op2(h3(e13),h3(e10)) = op2(e23,h3(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e10)),op2(h3(e13),h3(e10))) )],[refute_0_158,refute_0_159]) ).

cnf(refute_0_161,plain,
    ( op2(e23,h3(e10)) != op2(e23,e20)
    | op2(h3(e13),h3(e10)) != op2(e23,h3(e10))
    | op2(h3(e13),h3(e10)) = op2(e23,e20) ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(op2(h3(e13),h3(e10)))),bind(Y,$fot(op2(e23,h3(e10)))),bind(Z,$fot(op2(e23,e20)))]]) ).

cnf(refute_0_162,plain,
    ( h3(e13) != e23
    | op2(e23,h3(e10)) != op2(e23,e20)
    | op2(h3(e13),h3(e10)) = op2(e23,e20) ),
    inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e10)),op2(e23,h3(e10))) )],[refute_0_160,refute_0_161]) ).

cnf(refute_0_163,plain,
    ( h3(e13) != e23
    | op2(h3(e13),h3(e10)) = op2(e23,e20) ),
    inference(resolve,[$cnf( $equal(op2(e23,h3(e10)),op2(e23,e20)) )],[refute_0_157,refute_0_162]) ).

cnf(refute_0_164,plain,
    ( h3(op1(e13,e10)) != op2(e23,e20)
    | op2(h3(e13),h3(e10)) != op2(e23,e20)
    | h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e13,e10)),op2(h3(e13),h3(e10))) ),[1],$fot(op2(e23,e20))]]) ).

cnf(refute_0_165,plain,
    ( h3(e13) != e23
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e10)),op2(e23,e20)) )],[refute_0_163,refute_0_164]) ).

cnf(refute_0_166,plain,
    ( e20 != e20
    | e21 != e21
    | h3(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(e23,e20)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | definitionFOFtoCNF_4
    | definitionFOFtoCNF_5 ),
    inference(resolve,[$cnf( $equal(h3(op1(e13,e10)),op2(h3(e13),h3(e10))) )],[refute_0_165,refute_0_153]) ).

cnf(refute_0_167,plain,
    op2(e22,h3(e13)) = op2(e22,h3(e13)),
    introduced(tautology,[refl,[$fot(op2(e22,h3(e13)))]]) ).

cnf(refute_0_168,plain,
    ( h3(e13) != e23
    | op2(e22,h3(e13)) != op2(e22,h3(e13))
    | op2(e22,h3(e13)) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,h3(e13)),op2(e22,h3(e13))) ),[1,1],$fot(e23)]]) ).

cnf(refute_0_169,plain,
    ( h3(e13) != e23
    | op2(e22,h3(e13)) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e22,h3(e13)),op2(e22,h3(e13))) )],[refute_0_167,refute_0_168]) ).

cnf(refute_0_170,plain,
    op2(h3(e12),h3(e13)) = op2(h3(e12),h3(e13)),
    introduced(tautology,[refl,[$fot(op2(h3(e12),h3(e13)))]]) ).

cnf(refute_0_171,plain,
    ( h3(e12) != e22
    | op2(h3(e12),h3(e13)) != op2(h3(e12),h3(e13))
    | op2(h3(e12),h3(e13)) = op2(e22,h3(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h3(e12),h3(e13)),op2(h3(e12),h3(e13))) ),[1,0],$fot(e22)]]) ).

cnf(refute_0_172,plain,
    ( h3(e12) != e22
    | op2(h3(e12),h3(e13)) = op2(e22,h3(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e13)),op2(h3(e12),h3(e13))) )],[refute_0_170,refute_0_171]) ).

cnf(refute_0_173,plain,
    op2(h3(e12),h3(e13)) = op2(e22,h3(e13)),
    inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_0_123,refute_0_172]) ).

cnf(refute_0_174,plain,
    ( op2(e22,h3(e13)) != op2(e22,e23)
    | op2(h3(e12),h3(e13)) != op2(e22,h3(e13))
    | op2(h3(e12),h3(e13)) = op2(e22,e23) ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(op2(h3(e12),h3(e13)))),bind(Y,$fot(op2(e22,h3(e13)))),bind(Z,$fot(op2(e22,e23)))]]) ).

cnf(refute_0_175,plain,
    ( op2(e22,h3(e13)) != op2(e22,e23)
    | op2(h3(e12),h3(e13)) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e13)),op2(e22,h3(e13))) )],[refute_0_173,refute_0_174]) ).

cnf(refute_0_176,plain,
    ( h3(e13) != e23
    | op2(h3(e12),h3(e13)) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e22,h3(e13)),op2(e22,e23)) )],[refute_0_169,refute_0_175]) ).

cnf(refute_0_177,plain,
    ( h3(op1(e12,e13)) != op2(e22,e23)
    | op2(h3(e12),h3(e13)) != op2(e22,e23)
    | h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e12,e13)),op2(h3(e12),h3(e13))) ),[1],$fot(op2(e22,e23))]]) ).

cnf(refute_0_178,plain,
    ( h3(e13) != e23
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e13)),op2(e22,e23)) )],[refute_0_176,refute_0_177]) ).

cnf(refute_0_179,plain,
    ( e20 != e20
    | e21 != e21
    | h3(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(e22,e23)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | definitionFOFtoCNF_4
    | definitionFOFtoCNF_5 ),
    inference(resolve,[$cnf( $equal(h3(op1(e12,e13)),op2(h3(e12),h3(e13))) )],[refute_0_178,refute_0_166]) ).

cnf(refute_0_180,plain,
    h3(op1(e12,e12)) = h3(op1(e12,e12)),
    introduced(tautology,[refl,[$fot(h3(op1(e12,e12)))]]) ).

cnf(refute_0_181,plain,
    ( h3(op1(e12,e12)) != h3(op1(e12,e12))
    | op1(e12,e12) != e13
    | h3(op1(e12,e12)) = h3(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e12)),h3(op1(e12,e12))) ),[1,0],$fot(e13)]]) ).

cnf(refute_0_182,plain,
    ( op1(e12,e12) != e13
    | h3(op1(e12,e12)) = h3(e13) ),
    inference(resolve,[$cnf( $equal(h3(op1(e12,e12)),h3(op1(e12,e12))) )],[refute_0_180,refute_0_181]) ).

cnf(refute_0_183,plain,
    h3(op1(e12,e12)) = h3(e13),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_14,refute_0_182]) ).

cnf(refute_0_184,plain,
    ( h3(e13) != e23
    | h3(op1(e12,e12)) != h3(e13)
    | h3(op1(e12,e12)) = e23 ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(h3(op1(e12,e12)))),bind(Y,$fot(h3(e13))),bind(Z,$fot(e23))]]) ).

cnf(refute_0_185,plain,
    ( h3(e13) != e23
    | h3(op1(e12,e12)) = e23 ),
    inference(resolve,[$cnf( $equal(h3(op1(e12,e12)),h3(e13)) )],[refute_0_183,refute_0_184]) ).

cnf(refute_0_186,plain,
    ( e23 != op2(h3(e12),h3(e12))
    | h3(op1(e12,e12)) != e23
    | h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e12)),e23) ),[1],$fot(op2(h3(e12),h3(e12)))]]) ).

cnf(refute_0_187,plain,
    ( e23 != op2(h3(e12),h3(e12))
    | h3(e13) != e23
    | h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
    inference(resolve,[$cnf( $equal(h3(op1(e12,e12)),e23) )],[refute_0_185,refute_0_186]) ).

cnf(refute_0_188,plain,
    op2(e22,h3(e12)) = op2(e22,h3(e12)),
    introduced(tautology,[refl,[$fot(op2(e22,h3(e12)))]]) ).

cnf(refute_0_189,plain,
    ( h3(e12) != e22
    | op2(e22,h3(e12)) != op2(e22,h3(e12))
    | op2(e22,h3(e12)) = op2(e22,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,h3(e12)),op2(e22,h3(e12))) ),[1,1],$fot(e22)]]) ).

cnf(refute_0_190,plain,
    ( h3(e12) != e22
    | op2(e22,h3(e12)) = op2(e22,e22) ),
    inference(resolve,[$cnf( $equal(op2(e22,h3(e12)),op2(e22,h3(e12))) )],[refute_0_188,refute_0_189]) ).

cnf(refute_0_191,plain,
    op2(e22,h3(e12)) = op2(e22,e22),
    inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_0_123,refute_0_190]) ).

cnf(refute_0_192,plain,
    op2(h3(e12),h3(e12)) = op2(h3(e12),h3(e12)),
    introduced(tautology,[refl,[$fot(op2(h3(e12),h3(e12)))]]) ).

cnf(refute_0_193,plain,
    ( h3(e12) != e22
    | op2(h3(e12),h3(e12)) != op2(h3(e12),h3(e12))
    | op2(h3(e12),h3(e12)) = op2(e22,h3(e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h3(e12),h3(e12)),op2(h3(e12),h3(e12))) ),[1,0],$fot(e22)]]) ).

cnf(refute_0_194,plain,
    ( h3(e12) != e22
    | op2(h3(e12),h3(e12)) = op2(e22,h3(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e12)),op2(h3(e12),h3(e12))) )],[refute_0_192,refute_0_193]) ).

cnf(refute_0_195,plain,
    op2(h3(e12),h3(e12)) = op2(e22,h3(e12)),
    inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_0_123,refute_0_194]) ).

cnf(refute_0_196,plain,
    ( op2(e22,h3(e12)) != op2(e22,e22)
    | op2(h3(e12),h3(e12)) != op2(e22,h3(e12))
    | op2(h3(e12),h3(e12)) = op2(e22,e22) ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(op2(h3(e12),h3(e12)))),bind(Y,$fot(op2(e22,h3(e12)))),bind(Z,$fot(op2(e22,e22)))]]) ).

cnf(refute_0_197,plain,
    ( op2(e22,h3(e12)) != op2(e22,e22)
    | op2(h3(e12),h3(e12)) = op2(e22,e22) ),
    inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e12)),op2(e22,h3(e12))) )],[refute_0_195,refute_0_196]) ).

cnf(refute_0_198,plain,
    op2(h3(e12),h3(e12)) = op2(e22,e22),
    inference(resolve,[$cnf( $equal(op2(e22,h3(e12)),op2(e22,e22)) )],[refute_0_191,refute_0_197]) ).

cnf(refute_0_199,plain,
    ( op2(e22,e22) != e23
    | op2(h3(e12),h3(e12)) != op2(e22,e22)
    | op2(h3(e12),h3(e12)) = e23 ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(op2(h3(e12),h3(e12)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(e23))]]) ).

cnf(refute_0_200,plain,
    ( op2(e22,e22) != e23
    | op2(h3(e12),h3(e12)) = e23 ),
    inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e12)),op2(e22,e22)) )],[refute_0_198,refute_0_199]) ).

cnf(refute_0_201,plain,
    op2(h3(e12),h3(e12)) = e23,
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_47,refute_0_200]) ).

cnf(refute_0_202,plain,
    ( e23 != e23
    | op2(h3(e12),h3(e12)) != e23
    | e23 = op2(h3(e12),h3(e12)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(h3(e12),h3(e12))) ),[1],$fot(e23)]]) ).

cnf(refute_0_203,plain,
    ( e23 != e23
    | e23 = op2(h3(e12),h3(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e12)),e23) )],[refute_0_201,refute_0_202]) ).

cnf(refute_0_204,plain,
    ( e23 != e23
    | h3(e13) != e23
    | h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
    inference(resolve,[$cnf( $equal(e23,op2(h3(e12),h3(e12))) )],[refute_0_203,refute_0_187]) ).

cnf(refute_0_205,plain,
    ( e20 != e20
    | e21 != e21
    | e23 != e23
    | h3(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,e13)) != op2(e22,e23)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | definitionFOFtoCNF_4
    | definitionFOFtoCNF_5 ),
    inference(resolve,[$cnf( $equal(h3(op1(e12,e12)),op2(h3(e12),h3(e12))) )],[refute_0_204,refute_0_179]) ).

cnf(refute_0_206,plain,
    op2(e22,h3(e11)) = op2(e22,h3(e11)),
    introduced(tautology,[refl,[$fot(op2(e22,h3(e11)))]]) ).

cnf(refute_0_207,plain,
    ( h3(e11) != e21
    | op2(e22,h3(e11)) != op2(e22,h3(e11))
    | op2(e22,h3(e11)) = op2(e22,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,h3(e11)),op2(e22,h3(e11))) ),[1,1],$fot(e21)]]) ).

cnf(refute_0_208,plain,
    ( h3(e11) != e21
    | op2(e22,h3(e11)) = op2(e22,e21) ),
    inference(resolve,[$cnf( $equal(op2(e22,h3(e11)),op2(e22,h3(e11))) )],[refute_0_206,refute_0_207]) ).

cnf(refute_0_209,plain,
    op2(e22,h3(e11)) = op2(e22,e21),
    inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_0_10,refute_0_208]) ).

cnf(refute_0_210,plain,
    op2(h3(e12),h3(e11)) = op2(h3(e12),h3(e11)),
    introduced(tautology,[refl,[$fot(op2(h3(e12),h3(e11)))]]) ).

cnf(refute_0_211,plain,
    ( h3(e12) != e22
    | op2(h3(e12),h3(e11)) != op2(h3(e12),h3(e11))
    | op2(h3(e12),h3(e11)) = op2(e22,h3(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h3(e12),h3(e11)),op2(h3(e12),h3(e11))) ),[1,0],$fot(e22)]]) ).

cnf(refute_0_212,plain,
    ( h3(e12) != e22
    | op2(h3(e12),h3(e11)) = op2(e22,h3(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e11)),op2(h3(e12),h3(e11))) )],[refute_0_210,refute_0_211]) ).

cnf(refute_0_213,plain,
    op2(h3(e12),h3(e11)) = op2(e22,h3(e11)),
    inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_0_123,refute_0_212]) ).

cnf(refute_0_214,plain,
    ( op2(e22,h3(e11)) != op2(e22,e21)
    | op2(h3(e12),h3(e11)) != op2(e22,h3(e11))
    | op2(h3(e12),h3(e11)) = op2(e22,e21) ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(op2(h3(e12),h3(e11)))),bind(Y,$fot(op2(e22,h3(e11)))),bind(Z,$fot(op2(e22,e21)))]]) ).

cnf(refute_0_215,plain,
    ( op2(e22,h3(e11)) != op2(e22,e21)
    | op2(h3(e12),h3(e11)) = op2(e22,e21) ),
    inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e11)),op2(e22,h3(e11))) )],[refute_0_213,refute_0_214]) ).

cnf(refute_0_216,plain,
    op2(h3(e12),h3(e11)) = op2(e22,e21),
    inference(resolve,[$cnf( $equal(op2(e22,h3(e11)),op2(e22,e21)) )],[refute_0_209,refute_0_215]) ).

cnf(refute_0_217,plain,
    ( h3(op1(e12,e11)) != op2(e22,e21)
    | op2(h3(e12),h3(e11)) != op2(e22,e21)
    | h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e12,e11)),op2(h3(e12),h3(e11))) ),[1],$fot(op2(e22,e21))]]) ).

cnf(refute_0_218,plain,
    ( h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e11)),op2(e22,e21)) )],[refute_0_216,refute_0_217]) ).

cnf(refute_0_219,plain,
    ( e20 != e20
    | e21 != e21
    | e23 != e23
    | h3(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(e22,e21)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | definitionFOFtoCNF_4
    | definitionFOFtoCNF_5 ),
    inference(resolve,[$cnf( $equal(h3(op1(e12,e11)),op2(h3(e12),h3(e11))) )],[refute_0_218,refute_0_205]) ).

cnf(refute_0_220,plain,
    op2(e22,h3(e10)) = op2(e22,h3(e10)),
    introduced(tautology,[refl,[$fot(op2(e22,h3(e10)))]]) ).

cnf(refute_0_221,plain,
    ( h3(e10) != e20
    | op2(e22,h3(e10)) != op2(e22,h3(e10))
    | op2(e22,h3(e10)) = op2(e22,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,h3(e10)),op2(e22,h3(e10))) ),[1,1],$fot(e20)]]) ).

cnf(refute_0_222,plain,
    ( h3(e10) != e20
    | op2(e22,h3(e10)) = op2(e22,e20) ),
    inference(resolve,[$cnf( $equal(op2(e22,h3(e10)),op2(e22,h3(e10))) )],[refute_0_220,refute_0_221]) ).

cnf(refute_0_223,plain,
    op2(e22,h3(e10)) = op2(e22,e20),
    inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_0_94,refute_0_222]) ).

cnf(refute_0_224,plain,
    op2(h3(e12),h3(e10)) = op2(h3(e12),h3(e10)),
    introduced(tautology,[refl,[$fot(op2(h3(e12),h3(e10)))]]) ).

cnf(refute_0_225,plain,
    ( h3(e12) != e22
    | op2(h3(e12),h3(e10)) != op2(h3(e12),h3(e10))
    | op2(h3(e12),h3(e10)) = op2(e22,h3(e10)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h3(e12),h3(e10)),op2(h3(e12),h3(e10))) ),[1,0],$fot(e22)]]) ).

cnf(refute_0_226,plain,
    ( h3(e12) != e22
    | op2(h3(e12),h3(e10)) = op2(e22,h3(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e10)),op2(h3(e12),h3(e10))) )],[refute_0_224,refute_0_225]) ).

cnf(refute_0_227,plain,
    op2(h3(e12),h3(e10)) = op2(e22,h3(e10)),
    inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_0_123,refute_0_226]) ).

cnf(refute_0_228,plain,
    ( op2(e22,h3(e10)) != op2(e22,e20)
    | op2(h3(e12),h3(e10)) != op2(e22,h3(e10))
    | op2(h3(e12),h3(e10)) = op2(e22,e20) ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(op2(h3(e12),h3(e10)))),bind(Y,$fot(op2(e22,h3(e10)))),bind(Z,$fot(op2(e22,e20)))]]) ).

cnf(refute_0_229,plain,
    ( op2(e22,h3(e10)) != op2(e22,e20)
    | op2(h3(e12),h3(e10)) = op2(e22,e20) ),
    inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e10)),op2(e22,h3(e10))) )],[refute_0_227,refute_0_228]) ).

cnf(refute_0_230,plain,
    op2(h3(e12),h3(e10)) = op2(e22,e20),
    inference(resolve,[$cnf( $equal(op2(e22,h3(e10)),op2(e22,e20)) )],[refute_0_223,refute_0_229]) ).

cnf(refute_0_231,plain,
    ( h3(op1(e12,e10)) != op2(e22,e20)
    | op2(h3(e12),h3(e10)) != op2(e22,e20)
    | h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e12,e10)),op2(h3(e12),h3(e10))) ),[1],$fot(op2(e22,e20))]]) ).

cnf(refute_0_232,plain,
    ( h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e10)),op2(e22,e20)) )],[refute_0_230,refute_0_231]) ).

cnf(refute_0_233,plain,
    ( e20 != e20
    | e21 != e21
    | e23 != e23
    | h3(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(e22,e20)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | definitionFOFtoCNF_4
    | definitionFOFtoCNF_5 ),
    inference(resolve,[$cnf( $equal(h3(op1(e12,e10)),op2(h3(e12),h3(e10))) )],[refute_0_232,refute_0_219]) ).

cnf(refute_0_234,plain,
    h4(e10) = op2(op2(e23,e23),e23),
    inference(canonicalize,[],[normalize_0_27]) ).

cnf(refute_0_235,plain,
    op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).

cnf(refute_0_236,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
    | op2(op2(e23,e23),e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).

cnf(refute_0_237,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_0_235,refute_0_236]) ).

cnf(refute_0_238,plain,
    op2(op2(e23,e23),e23) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_0_71,refute_0_237]) ).

cnf(refute_0_239,plain,
    ( h4(e10) != op2(op2(e23,e23),e23)
    | op2(op2(e23,e23),e23) != op2(e21,e23)
    | h4(e10) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).

cnf(refute_0_240,plain,
    ( h4(e10) != op2(op2(e23,e23),e23)
    | h4(e10) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_0_238,refute_0_239]) ).

cnf(refute_0_241,plain,
    h4(e10) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_0_234,refute_0_240]) ).

cnf(refute_0_242,plain,
    ( h4(e10) != op2(e21,e23)
    | op2(e21,e23) = h4(e10) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_0_243,plain,
    op2(e21,e23) = h4(e10),
    inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_0_241,refute_0_242]) ).

cnf(refute_0_244,plain,
    op2(e21,h3(e13)) = op2(e21,h3(e13)),
    introduced(tautology,[refl,[$fot(op2(e21,h3(e13)))]]) ).

cnf(refute_0_245,plain,
    ( h3(e13) != e23
    | op2(e21,h3(e13)) != op2(e21,h3(e13))
    | op2(e21,h3(e13)) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,h3(e13)),op2(e21,h3(e13))) ),[1,1],$fot(e23)]]) ).

cnf(refute_0_246,plain,
    ( h3(e13) != e23
    | op2(e21,h3(e13)) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,h3(e13)),op2(e21,h3(e13))) )],[refute_0_244,refute_0_245]) ).

cnf(refute_0_247,plain,
    op2(h3(e11),h3(e13)) = op2(h3(e11),h3(e13)),
    introduced(tautology,[refl,[$fot(op2(h3(e11),h3(e13)))]]) ).

cnf(refute_0_248,plain,
    ( h3(e11) != e21
    | op2(h3(e11),h3(e13)) != op2(h3(e11),h3(e13))
    | op2(h3(e11),h3(e13)) = op2(e21,h3(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),h3(e13)),op2(h3(e11),h3(e13))) ),[1,0],$fot(e21)]]) ).

cnf(refute_0_249,plain,
    ( h3(e11) != e21
    | op2(h3(e11),h3(e13)) = op2(e21,h3(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e13)),op2(h3(e11),h3(e13))) )],[refute_0_247,refute_0_248]) ).

cnf(refute_0_250,plain,
    op2(h3(e11),h3(e13)) = op2(e21,h3(e13)),
    inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_0_10,refute_0_249]) ).

cnf(refute_0_251,plain,
    ( op2(e21,h3(e13)) != op2(e21,e23)
    | op2(h3(e11),h3(e13)) != op2(e21,h3(e13))
    | op2(h3(e11),h3(e13)) = op2(e21,e23) ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(op2(h3(e11),h3(e13)))),bind(Y,$fot(op2(e21,h3(e13)))),bind(Z,$fot(op2(e21,e23)))]]) ).

cnf(refute_0_252,plain,
    ( op2(e21,h3(e13)) != op2(e21,e23)
    | op2(h3(e11),h3(e13)) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e13)),op2(e21,h3(e13))) )],[refute_0_250,refute_0_251]) ).

cnf(refute_0_253,plain,
    ( h3(e13) != e23
    | op2(h3(e11),h3(e13)) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,h3(e13)),op2(e21,e23)) )],[refute_0_246,refute_0_252]) ).

cnf(refute_0_254,plain,
    ( op2(e21,e23) != h4(e10)
    | op2(h3(e11),h3(e13)) != op2(e21,e23)
    | op2(h3(e11),h3(e13)) = h4(e10) ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(op2(h3(e11),h3(e13)))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(h4(e10)))]]) ).

cnf(refute_0_255,plain,
    ( h3(e13) != e23
    | op2(e21,e23) != h4(e10)
    | op2(h3(e11),h3(e13)) = h4(e10) ),
    inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e13)),op2(e21,e23)) )],[refute_0_253,refute_0_254]) ).

cnf(refute_0_256,plain,
    ( h3(e13) != e23
    | op2(h3(e11),h3(e13)) = h4(e10) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_0_243,refute_0_255]) ).

cnf(refute_0_257,plain,
    ( h3(op1(e11,e13)) != h4(e10)
    | op2(h3(e11),h3(e13)) != h4(e10)
    | h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e11,e13)),op2(h3(e11),h3(e13))) ),[1],$fot(h4(e10))]]) ).

cnf(refute_0_258,plain,
    ( h3(e13) != e23
    | h3(op1(e11,e13)) != h4(e10)
    | h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e13)),h4(e10)) )],[refute_0_256,refute_0_257]) ).

cnf(refute_0_259,plain,
    ( e20 != e20
    | e21 != e21
    | e23 != e23
    | h3(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)) != h4(e10)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | definitionFOFtoCNF_4
    | definitionFOFtoCNF_5 ),
    inference(resolve,[$cnf( $equal(h3(op1(e11,e13)),op2(h3(e11),h3(e13))) )],[refute_0_258,refute_0_233]) ).

cnf(refute_0_260,plain,
    op2(e21,h3(e12)) = op2(e21,h3(e12)),
    introduced(tautology,[refl,[$fot(op2(e21,h3(e12)))]]) ).

cnf(refute_0_261,plain,
    ( h3(e12) != e22
    | op2(e21,h3(e12)) != op2(e21,h3(e12))
    | op2(e21,h3(e12)) = op2(e21,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,h3(e12)),op2(e21,h3(e12))) ),[1,1],$fot(e22)]]) ).

cnf(refute_0_262,plain,
    ( h3(e12) != e22
    | op2(e21,h3(e12)) = op2(e21,e22) ),
    inference(resolve,[$cnf( $equal(op2(e21,h3(e12)),op2(e21,h3(e12))) )],[refute_0_260,refute_0_261]) ).

cnf(refute_0_263,plain,
    op2(e21,h3(e12)) = op2(e21,e22),
    inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_0_123,refute_0_262]) ).

cnf(refute_0_264,plain,
    op2(h3(e11),h3(e12)) = op2(h3(e11),h3(e12)),
    introduced(tautology,[refl,[$fot(op2(h3(e11),h3(e12)))]]) ).

cnf(refute_0_265,plain,
    ( h3(e11) != e21
    | op2(h3(e11),h3(e12)) != op2(h3(e11),h3(e12))
    | op2(h3(e11),h3(e12)) = op2(e21,h3(e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),h3(e12)),op2(h3(e11),h3(e12))) ),[1,0],$fot(e21)]]) ).

cnf(refute_0_266,plain,
    ( h3(e11) != e21
    | op2(h3(e11),h3(e12)) = op2(e21,h3(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e12)),op2(h3(e11),h3(e12))) )],[refute_0_264,refute_0_265]) ).

cnf(refute_0_267,plain,
    op2(h3(e11),h3(e12)) = op2(e21,h3(e12)),
    inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_0_10,refute_0_266]) ).

cnf(refute_0_268,plain,
    ( op2(e21,h3(e12)) != op2(e21,e22)
    | op2(h3(e11),h3(e12)) != op2(e21,h3(e12))
    | op2(h3(e11),h3(e12)) = op2(e21,e22) ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(op2(h3(e11),h3(e12)))),bind(Y,$fot(op2(e21,h3(e12)))),bind(Z,$fot(op2(e21,e22)))]]) ).

cnf(refute_0_269,plain,
    ( op2(e21,h3(e12)) != op2(e21,e22)
    | op2(h3(e11),h3(e12)) = op2(e21,e22) ),
    inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e12)),op2(e21,h3(e12))) )],[refute_0_267,refute_0_268]) ).

cnf(refute_0_270,plain,
    op2(h3(e11),h3(e12)) = op2(e21,e22),
    inference(resolve,[$cnf( $equal(op2(e21,h3(e12)),op2(e21,e22)) )],[refute_0_263,refute_0_269]) ).

cnf(refute_0_271,plain,
    ( h3(op1(e11,e12)) != op2(e21,e22)
    | op2(h3(e11),h3(e12)) != op2(e21,e22)
    | h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e11,e12)),op2(h3(e11),h3(e12))) ),[1],$fot(op2(e21,e22))]]) ).

cnf(refute_0_272,plain,
    ( h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e12)),op2(e21,e22)) )],[refute_0_270,refute_0_271]) ).

cnf(refute_0_273,plain,
    ( e20 != e20
    | e21 != e21
    | e23 != e23
    | h3(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(e21,e22)
    | h3(op1(e11,e13)) != h4(e10)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | definitionFOFtoCNF_4
    | definitionFOFtoCNF_5 ),
    inference(resolve,[$cnf( $equal(h3(op1(e11,e12)),op2(h3(e11),h3(e12))) )],[refute_0_272,refute_0_259]) ).

cnf(refute_0_274,plain,
    h2(e13) = op2(e21,e21),
    inference(canonicalize,[],[normalize_0_28]) ).

cnf(refute_0_275,plain,
    ( h2(e13) != op2(e21,e21)
    | op2(e21,e21) = h2(e13) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_0_276,plain,
    op2(e21,e21) = h2(e13),
    inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_0_274,refute_0_275]) ).

cnf(refute_0_277,plain,
    op2(e21,h3(e11)) = op2(e21,h3(e11)),
    introduced(tautology,[refl,[$fot(op2(e21,h3(e11)))]]) ).

cnf(refute_0_278,plain,
    ( h3(e11) != e21
    | op2(e21,h3(e11)) != op2(e21,h3(e11))
    | op2(e21,h3(e11)) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,h3(e11)),op2(e21,h3(e11))) ),[1,1],$fot(e21)]]) ).

cnf(refute_0_279,plain,
    ( h3(e11) != e21
    | op2(e21,h3(e11)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,h3(e11)),op2(e21,h3(e11))) )],[refute_0_277,refute_0_278]) ).

cnf(refute_0_280,plain,
    op2(e21,h3(e11)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_0_10,refute_0_279]) ).

cnf(refute_0_281,plain,
    op2(h3(e11),h3(e11)) = op2(h3(e11),h3(e11)),
    introduced(tautology,[refl,[$fot(op2(h3(e11),h3(e11)))]]) ).

cnf(refute_0_282,plain,
    ( h3(e11) != e21
    | op2(h3(e11),h3(e11)) != op2(h3(e11),h3(e11))
    | op2(h3(e11),h3(e11)) = op2(e21,h3(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),h3(e11)),op2(h3(e11),h3(e11))) ),[1,0],$fot(e21)]]) ).

cnf(refute_0_283,plain,
    ( h3(e11) != e21
    | op2(h3(e11),h3(e11)) = op2(e21,h3(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e11)),op2(h3(e11),h3(e11))) )],[refute_0_281,refute_0_282]) ).

cnf(refute_0_284,plain,
    op2(h3(e11),h3(e11)) = op2(e21,h3(e11)),
    inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_0_10,refute_0_283]) ).

cnf(refute_0_285,plain,
    ( op2(e21,h3(e11)) != op2(e21,e21)
    | op2(h3(e11),h3(e11)) != op2(e21,h3(e11))
    | op2(h3(e11),h3(e11)) = op2(e21,e21) ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(op2(h3(e11),h3(e11)))),bind(Y,$fot(op2(e21,h3(e11)))),bind(Z,$fot(op2(e21,e21)))]]) ).

cnf(refute_0_286,plain,
    ( op2(e21,h3(e11)) != op2(e21,e21)
    | op2(h3(e11),h3(e11)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e11)),op2(e21,h3(e11))) )],[refute_0_284,refute_0_285]) ).

cnf(refute_0_287,plain,
    op2(h3(e11),h3(e11)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e21,h3(e11)),op2(e21,e21)) )],[refute_0_280,refute_0_286]) ).

cnf(refute_0_288,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(h3(e11),h3(e11)) != op2(e21,e21)
    | op2(h3(e11),h3(e11)) = h2(e13) ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(op2(h3(e11),h3(e11)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).

cnf(refute_0_289,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(h3(e11),h3(e11)) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e11)),op2(e21,e21)) )],[refute_0_287,refute_0_288]) ).

cnf(refute_0_290,plain,
    op2(h3(e11),h3(e11)) = h2(e13),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_276,refute_0_289]) ).

cnf(refute_0_291,plain,
    ( h3(op1(e11,e11)) != h2(e13)
    | op2(h3(e11),h3(e11)) != h2(e13)
    | h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e11,e11)),op2(h3(e11),h3(e11))) ),[1],$fot(h2(e13))]]) ).

cnf(refute_0_292,plain,
    ( h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e11)),h2(e13)) )],[refute_0_290,refute_0_291]) ).

cnf(refute_0_293,plain,
    ( e20 != e20
    | e21 != e21
    | e23 != e23
    | h3(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)) != h2(e13)
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e13)) != h4(e10)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | definitionFOFtoCNF_4
    | definitionFOFtoCNF_5 ),
    inference(resolve,[$cnf( $equal(h3(op1(e11,e11)),op2(h3(e11),h3(e11))) )],[refute_0_292,refute_0_273]) ).

cnf(refute_0_294,plain,
    op2(e21,h3(e10)) = op2(e21,h3(e10)),
    introduced(tautology,[refl,[$fot(op2(e21,h3(e10)))]]) ).

cnf(refute_0_295,plain,
    ( h3(e10) != e20
    | op2(e21,h3(e10)) != op2(e21,h3(e10))
    | op2(e21,h3(e10)) = op2(e21,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,h3(e10)),op2(e21,h3(e10))) ),[1,1],$fot(e20)]]) ).

cnf(refute_0_296,plain,
    ( h3(e10) != e20
    | op2(e21,h3(e10)) = op2(e21,e20) ),
    inference(resolve,[$cnf( $equal(op2(e21,h3(e10)),op2(e21,h3(e10))) )],[refute_0_294,refute_0_295]) ).

cnf(refute_0_297,plain,
    op2(e21,h3(e10)) = op2(e21,e20),
    inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_0_94,refute_0_296]) ).

cnf(refute_0_298,plain,
    op2(h3(e11),h3(e10)) = op2(h3(e11),h3(e10)),
    introduced(tautology,[refl,[$fot(op2(h3(e11),h3(e10)))]]) ).

cnf(refute_0_299,plain,
    ( h3(e11) != e21
    | op2(h3(e11),h3(e10)) != op2(h3(e11),h3(e10))
    | op2(h3(e11),h3(e10)) = op2(e21,h3(e10)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),h3(e10)),op2(h3(e11),h3(e10))) ),[1,0],$fot(e21)]]) ).

cnf(refute_0_300,plain,
    ( h3(e11) != e21
    | op2(h3(e11),h3(e10)) = op2(e21,h3(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e10)),op2(h3(e11),h3(e10))) )],[refute_0_298,refute_0_299]) ).

cnf(refute_0_301,plain,
    op2(h3(e11),h3(e10)) = op2(e21,h3(e10)),
    inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_0_10,refute_0_300]) ).

cnf(refute_0_302,plain,
    ( op2(e21,h3(e10)) != op2(e21,e20)
    | op2(h3(e11),h3(e10)) != op2(e21,h3(e10))
    | op2(h3(e11),h3(e10)) = op2(e21,e20) ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(op2(h3(e11),h3(e10)))),bind(Y,$fot(op2(e21,h3(e10)))),bind(Z,$fot(op2(e21,e20)))]]) ).

cnf(refute_0_303,plain,
    ( op2(e21,h3(e10)) != op2(e21,e20)
    | op2(h3(e11),h3(e10)) = op2(e21,e20) ),
    inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e10)),op2(e21,h3(e10))) )],[refute_0_301,refute_0_302]) ).

cnf(refute_0_304,plain,
    op2(h3(e11),h3(e10)) = op2(e21,e20),
    inference(resolve,[$cnf( $equal(op2(e21,h3(e10)),op2(e21,e20)) )],[refute_0_297,refute_0_303]) ).

cnf(refute_0_305,plain,
    ( h3(op1(e11,e10)) != op2(e21,e20)
    | op2(h3(e11),h3(e10)) != op2(e21,e20)
    | h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e11,e10)),op2(h3(e11),h3(e10))) ),[1],$fot(op2(e21,e20))]]) ).

cnf(refute_0_306,plain,
    ( h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e10)),op2(e21,e20)) )],[refute_0_304,refute_0_305]) ).

cnf(refute_0_307,plain,
    ( e20 != e20
    | e21 != e21
    | e23 != e23
    | h3(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(e21,e20)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e13)) != h4(e10)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | definitionFOFtoCNF_4
    | definitionFOFtoCNF_5 ),
    inference(resolve,[$cnf( $equal(h3(op1(e11,e10)),op2(h3(e11),h3(e10))) )],[refute_0_306,refute_0_293]) ).

cnf(refute_0_308,plain,
    op2(e20,h3(e13)) = op2(e20,h3(e13)),
    introduced(tautology,[refl,[$fot(op2(e20,h3(e13)))]]) ).

cnf(refute_0_309,plain,
    ( h3(e13) != e23
    | op2(e20,h3(e13)) != op2(e20,h3(e13))
    | op2(e20,h3(e13)) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h3(e13)),op2(e20,h3(e13))) ),[1,1],$fot(e23)]]) ).

cnf(refute_0_310,plain,
    ( h3(e13) != e23
    | op2(e20,h3(e13)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,h3(e13)),op2(e20,h3(e13))) )],[refute_0_308,refute_0_309]) ).

cnf(refute_0_311,plain,
    op2(h3(e10),h3(e13)) = op2(h3(e10),h3(e13)),
    introduced(tautology,[refl,[$fot(op2(h3(e10),h3(e13)))]]) ).

cnf(refute_0_312,plain,
    ( h3(e10) != e20
    | op2(h3(e10),h3(e13)) != op2(h3(e10),h3(e13))
    | op2(h3(e10),h3(e13)) = op2(e20,h3(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h3(e10),h3(e13)),op2(h3(e10),h3(e13))) ),[1,0],$fot(e20)]]) ).

cnf(refute_0_313,plain,
    ( h3(e10) != e20
    | op2(h3(e10),h3(e13)) = op2(e20,h3(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e13)),op2(h3(e10),h3(e13))) )],[refute_0_311,refute_0_312]) ).

cnf(refute_0_314,plain,
    op2(h3(e10),h3(e13)) = op2(e20,h3(e13)),
    inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_0_94,refute_0_313]) ).

cnf(refute_0_315,plain,
    ( op2(e20,h3(e13)) != op2(e20,e23)
    | op2(h3(e10),h3(e13)) != op2(e20,h3(e13))
    | op2(h3(e10),h3(e13)) = op2(e20,e23) ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(op2(h3(e10),h3(e13)))),bind(Y,$fot(op2(e20,h3(e13)))),bind(Z,$fot(op2(e20,e23)))]]) ).

cnf(refute_0_316,plain,
    ( op2(e20,h3(e13)) != op2(e20,e23)
    | op2(h3(e10),h3(e13)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e13)),op2(e20,h3(e13))) )],[refute_0_314,refute_0_315]) ).

cnf(refute_0_317,plain,
    ( h3(e13) != e23
    | op2(h3(e10),h3(e13)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,h3(e13)),op2(e20,e23)) )],[refute_0_310,refute_0_316]) ).

cnf(refute_0_318,plain,
    ( h3(op1(e10,e13)) != op2(e20,e23)
    | op2(h3(e10),h3(e13)) != op2(e20,e23)
    | h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e10,e13)),op2(h3(e10),h3(e13))) ),[1],$fot(op2(e20,e23))]]) ).

cnf(refute_0_319,plain,
    ( h3(e13) != e23
    | h3(op1(e10,e13)) != op2(e20,e23)
    | h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e13)),op2(e20,e23)) )],[refute_0_317,refute_0_318]) ).

cnf(refute_0_320,plain,
    ( e20 != e20
    | e21 != e21
    | e23 != e23
    | h3(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(e20,e23)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e13)) != h4(e10)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | definitionFOFtoCNF_4
    | definitionFOFtoCNF_5 ),
    inference(resolve,[$cnf( $equal(h3(op1(e10,e13)),op2(h3(e10),h3(e13))) )],[refute_0_319,refute_0_307]) ).

cnf(refute_0_321,plain,
    op2(e20,h3(e12)) = op2(e20,h3(e12)),
    introduced(tautology,[refl,[$fot(op2(e20,h3(e12)))]]) ).

cnf(refute_0_322,plain,
    ( h3(e12) != e22
    | op2(e20,h3(e12)) != op2(e20,h3(e12))
    | op2(e20,h3(e12)) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h3(e12)),op2(e20,h3(e12))) ),[1,1],$fot(e22)]]) ).

cnf(refute_0_323,plain,
    ( h3(e12) != e22
    | op2(e20,h3(e12)) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(op2(e20,h3(e12)),op2(e20,h3(e12))) )],[refute_0_321,refute_0_322]) ).

cnf(refute_0_324,plain,
    op2(e20,h3(e12)) = op2(e20,e22),
    inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_0_123,refute_0_323]) ).

cnf(refute_0_325,plain,
    op2(h3(e10),h3(e12)) = op2(h3(e10),h3(e12)),
    introduced(tautology,[refl,[$fot(op2(h3(e10),h3(e12)))]]) ).

cnf(refute_0_326,plain,
    ( h3(e10) != e20
    | op2(h3(e10),h3(e12)) != op2(h3(e10),h3(e12))
    | op2(h3(e10),h3(e12)) = op2(e20,h3(e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h3(e10),h3(e12)),op2(h3(e10),h3(e12))) ),[1,0],$fot(e20)]]) ).

cnf(refute_0_327,plain,
    ( h3(e10) != e20
    | op2(h3(e10),h3(e12)) = op2(e20,h3(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e12)),op2(h3(e10),h3(e12))) )],[refute_0_325,refute_0_326]) ).

cnf(refute_0_328,plain,
    op2(h3(e10),h3(e12)) = op2(e20,h3(e12)),
    inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_0_94,refute_0_327]) ).

cnf(refute_0_329,plain,
    ( op2(e20,h3(e12)) != op2(e20,e22)
    | op2(h3(e10),h3(e12)) != op2(e20,h3(e12))
    | op2(h3(e10),h3(e12)) = op2(e20,e22) ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(op2(h3(e10),h3(e12)))),bind(Y,$fot(op2(e20,h3(e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).

cnf(refute_0_330,plain,
    ( op2(e20,h3(e12)) != op2(e20,e22)
    | op2(h3(e10),h3(e12)) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e12)),op2(e20,h3(e12))) )],[refute_0_328,refute_0_329]) ).

cnf(refute_0_331,plain,
    op2(h3(e10),h3(e12)) = op2(e20,e22),
    inference(resolve,[$cnf( $equal(op2(e20,h3(e12)),op2(e20,e22)) )],[refute_0_324,refute_0_330]) ).

cnf(refute_0_332,plain,
    ( h3(op1(e10,e12)) != op2(e20,e22)
    | op2(h3(e10),h3(e12)) != op2(e20,e22)
    | h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e10,e12)),op2(h3(e10),h3(e12))) ),[1],$fot(op2(e20,e22))]]) ).

cnf(refute_0_333,plain,
    ( h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e12)),op2(e20,e22)) )],[refute_0_331,refute_0_332]) ).

cnf(refute_0_334,plain,
    ( e20 != e20
    | e21 != e21
    | e23 != e23
    | h3(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(e20,e22)
    | h3(op1(e10,e13)) != op2(e20,e23)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e13)) != h4(e10)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | definitionFOFtoCNF_4
    | definitionFOFtoCNF_5 ),
    inference(resolve,[$cnf( $equal(h3(op1(e10,e12)),op2(h3(e10),h3(e12))) )],[refute_0_333,refute_0_320]) ).

cnf(refute_0_335,plain,
    op2(e20,h3(e11)) = op2(e20,h3(e11)),
    introduced(tautology,[refl,[$fot(op2(e20,h3(e11)))]]) ).

cnf(refute_0_336,plain,
    ( h3(e11) != e21
    | op2(e20,h3(e11)) != op2(e20,h3(e11))
    | op2(e20,h3(e11)) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h3(e11)),op2(e20,h3(e11))) ),[1,1],$fot(e21)]]) ).

cnf(refute_0_337,plain,
    ( h3(e11) != e21
    | op2(e20,h3(e11)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,h3(e11)),op2(e20,h3(e11))) )],[refute_0_335,refute_0_336]) ).

cnf(refute_0_338,plain,
    op2(e20,h3(e11)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_0_10,refute_0_337]) ).

cnf(refute_0_339,plain,
    op2(h3(e10),h3(e11)) = op2(h3(e10),h3(e11)),
    introduced(tautology,[refl,[$fot(op2(h3(e10),h3(e11)))]]) ).

cnf(refute_0_340,plain,
    ( h3(e10) != e20
    | op2(h3(e10),h3(e11)) != op2(h3(e10),h3(e11))
    | op2(h3(e10),h3(e11)) = op2(e20,h3(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h3(e10),h3(e11)),op2(h3(e10),h3(e11))) ),[1,0],$fot(e20)]]) ).

cnf(refute_0_341,plain,
    ( h3(e10) != e20
    | op2(h3(e10),h3(e11)) = op2(e20,h3(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e11)),op2(h3(e10),h3(e11))) )],[refute_0_339,refute_0_340]) ).

cnf(refute_0_342,plain,
    op2(h3(e10),h3(e11)) = op2(e20,h3(e11)),
    inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_0_94,refute_0_341]) ).

cnf(refute_0_343,plain,
    ( op2(e20,h3(e11)) != op2(e20,e21)
    | op2(h3(e10),h3(e11)) != op2(e20,h3(e11))
    | op2(h3(e10),h3(e11)) = op2(e20,e21) ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(op2(h3(e10),h3(e11)))),bind(Y,$fot(op2(e20,h3(e11)))),bind(Z,$fot(op2(e20,e21)))]]) ).

cnf(refute_0_344,plain,
    ( op2(e20,h3(e11)) != op2(e20,e21)
    | op2(h3(e10),h3(e11)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e11)),op2(e20,h3(e11))) )],[refute_0_342,refute_0_343]) ).

cnf(refute_0_345,plain,
    op2(h3(e10),h3(e11)) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(op2(e20,h3(e11)),op2(e20,e21)) )],[refute_0_338,refute_0_344]) ).

cnf(refute_0_346,plain,
    ( h3(op1(e10,e11)) != op2(e20,e21)
    | op2(h3(e10),h3(e11)) != op2(e20,e21)
    | h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e10,e11)),op2(h3(e10),h3(e11))) ),[1],$fot(op2(e20,e21))]]) ).

cnf(refute_0_347,plain,
    ( h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e11)),op2(e20,e21)) )],[refute_0_345,refute_0_346]) ).

cnf(refute_0_348,plain,
    ( e20 != e20
    | e21 != e21
    | e23 != e23
    | h3(e13) != e23
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e13)) != op2(e20,e23)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e13)) != h4(e10)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | definitionFOFtoCNF_4
    | definitionFOFtoCNF_5 ),
    inference(resolve,[$cnf( $equal(h3(op1(e10,e11)),op2(h3(e10),h3(e11))) )],[refute_0_347,refute_0_334]) ).

cnf(refute_0_349,plain,
    h1(e13) = op2(e20,e20),
    inference(canonicalize,[],[normalize_0_29]) ).

cnf(refute_0_350,plain,
    ( h1(e13) != op2(e20,e20)
    | op2(e20,e20) = h1(e13) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_0_351,plain,
    op2(e20,e20) = h1(e13),
    inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_0_349,refute_0_350]) ).

cnf(refute_0_352,plain,
    op2(e20,h3(e10)) = op2(e20,h3(e10)),
    introduced(tautology,[refl,[$fot(op2(e20,h3(e10)))]]) ).

cnf(refute_0_353,plain,
    ( h3(e10) != e20
    | op2(e20,h3(e10)) != op2(e20,h3(e10))
    | op2(e20,h3(e10)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h3(e10)),op2(e20,h3(e10))) ),[1,1],$fot(e20)]]) ).

cnf(refute_0_354,plain,
    ( h3(e10) != e20
    | op2(e20,h3(e10)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,h3(e10)),op2(e20,h3(e10))) )],[refute_0_352,refute_0_353]) ).

cnf(refute_0_355,plain,
    op2(e20,h3(e10)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_0_94,refute_0_354]) ).

cnf(refute_0_356,plain,
    op2(h3(e10),h3(e10)) = op2(h3(e10),h3(e10)),
    introduced(tautology,[refl,[$fot(op2(h3(e10),h3(e10)))]]) ).

cnf(refute_0_357,plain,
    ( h3(e10) != e20
    | op2(h3(e10),h3(e10)) != op2(h3(e10),h3(e10))
    | op2(h3(e10),h3(e10)) = op2(e20,h3(e10)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h3(e10),h3(e10)),op2(h3(e10),h3(e10))) ),[1,0],$fot(e20)]]) ).

cnf(refute_0_358,plain,
    ( h3(e10) != e20
    | op2(h3(e10),h3(e10)) = op2(e20,h3(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e10)),op2(h3(e10),h3(e10))) )],[refute_0_356,refute_0_357]) ).

cnf(refute_0_359,plain,
    op2(h3(e10),h3(e10)) = op2(e20,h3(e10)),
    inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_0_94,refute_0_358]) ).

cnf(refute_0_360,plain,
    ( op2(e20,h3(e10)) != op2(e20,e20)
    | op2(h3(e10),h3(e10)) != op2(e20,h3(e10))
    | op2(h3(e10),h3(e10)) = op2(e20,e20) ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(op2(h3(e10),h3(e10)))),bind(Y,$fot(op2(e20,h3(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_0_361,plain,
    ( op2(e20,h3(e10)) != op2(e20,e20)
    | op2(h3(e10),h3(e10)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e10)),op2(e20,h3(e10))) )],[refute_0_359,refute_0_360]) ).

cnf(refute_0_362,plain,
    op2(h3(e10),h3(e10)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,h3(e10)),op2(e20,e20)) )],[refute_0_355,refute_0_361]) ).

cnf(refute_0_363,plain,
    ( op2(e20,e20) != h1(e13)
    | op2(h3(e10),h3(e10)) != op2(e20,e20)
    | op2(h3(e10),h3(e10)) = h1(e13) ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(op2(h3(e10),h3(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).

cnf(refute_0_364,plain,
    ( op2(e20,e20) != h1(e13)
    | op2(h3(e10),h3(e10)) = h1(e13) ),
    inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e10)),op2(e20,e20)) )],[refute_0_362,refute_0_363]) ).

cnf(refute_0_365,plain,
    op2(h3(e10),h3(e10)) = h1(e13),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_351,refute_0_364]) ).

cnf(refute_0_366,plain,
    ( h3(op1(e10,e10)) != h1(e13)
    | op2(h3(e10),h3(e10)) != h1(e13)
    | h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e10,e10)),op2(h3(e10),h3(e10))) ),[1],$fot(h1(e13))]]) ).

cnf(refute_0_367,plain,
    ( h3(op1(e10,e10)) != h1(e13)
    | h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e10)),h1(e13)) )],[refute_0_365,refute_0_366]) ).

cnf(refute_0_368,plain,
    ( e20 != e20
    | e21 != e21
    | e23 != e23
    | h3(e13) != e23
    | h3(op1(e10,e10)) != h1(e13)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e13)) != op2(e20,e23)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e13)) != h4(e10)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | definitionFOFtoCNF_4
    | definitionFOFtoCNF_5 ),
    inference(resolve,[$cnf( $equal(h3(op1(e10,e10)),op2(h3(e10),h3(e10))) )],[refute_0_367,refute_0_348]) ).

cnf(refute_0_369,plain,
    h3(e13) = op2(e22,e22),
    inference(canonicalize,[],[normalize_0_30]) ).

cnf(refute_0_370,plain,
    ( h3(e13) != op2(e22,e22)
    | op2(e22,e22) != e23
    | h3(e13) = e23 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h3(e13),e23) ),[0],$fot(op2(e22,e22))]]) ).

cnf(refute_0_371,plain,
    ( h3(e13) != op2(e22,e22)
    | h3(e13) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_47,refute_0_370]) ).

cnf(refute_0_372,plain,
    h3(e13) = e23,
    inference(resolve,[$cnf( $equal(h3(e13),op2(e22,e22)) )],[refute_0_369,refute_0_371]) ).

cnf(refute_0_373,plain,
    ( e23 != e23
    | h3(e13) != e23
    | h3(e13) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h3(e13),e23) ),[1],$fot(e23)]]) ).

cnf(refute_0_374,plain,
    ( e23 != e23
    | h3(e13) = e23 ),
    inference(resolve,[$cnf( $equal(h3(e13),e23) )],[refute_0_372,refute_0_373]) ).

cnf(refute_0_375,plain,
    ( e20 != e20
    | e21 != e21
    | e23 != e23
    | h3(op1(e10,e10)) != h1(e13)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e13)) != op2(e20,e23)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e13)) != h4(e10)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | definitionFOFtoCNF_4
    | definitionFOFtoCNF_5 ),
    inference(resolve,[$cnf( $equal(h3(e13),e23) )],[refute_0_374,refute_0_368]) ).

cnf(refute_0_376,plain,
    e20 = e20,
    introduced(tautology,[refl,[$fot(e20)]]) ).

cnf(refute_0_377,plain,
    ( e21 != e21
    | e23 != e23
    | h3(op1(e10,e10)) != h1(e13)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e13)) != op2(e20,e23)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e13)) != h4(e10)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | definitionFOFtoCNF_4
    | definitionFOFtoCNF_5 ),
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_0_376,refute_0_375]) ).

cnf(refute_0_378,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_0_379,plain,
    ( e23 != e23
    | h3(op1(e10,e10)) != h1(e13)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e13)) != op2(e20,e23)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e13)) != h4(e10)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | definitionFOFtoCNF_4
    | definitionFOFtoCNF_5 ),
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_378,refute_0_377]) ).

cnf(refute_0_380,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_0_381,plain,
    ( h3(op1(e10,e10)) != h1(e13)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e13)) != op2(e20,e23)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e13)) != h4(e10)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | definitionFOFtoCNF_4
    | definitionFOFtoCNF_5 ),
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_380,refute_0_379]) ).

cnf(refute_0_382,plain,
    ( h3(e10) != e20
    | ~ definitionFOFtoCNF_4 ),
    inference(canonicalize,[],[normalize_0_32]) ).

cnf(refute_0_383,plain,
    ( e20 != e20
    | h3(e10) != e20
    | h3(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h3(e10),e20) ),[1],$fot(e20)]]) ).

cnf(refute_0_384,plain,
    ( e20 != e20
    | h3(e10) = e20 ),
    inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_0_94,refute_0_383]) ).

cnf(refute_0_385,plain,
    ( e20 != e20
    | ~ definitionFOFtoCNF_4 ),
    inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_0_384,refute_0_382]) ).

cnf(refute_0_386,plain,
    ~ definitionFOFtoCNF_4,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_0_376,refute_0_385]) ).

cnf(refute_0_387,plain,
    ( h3(op1(e10,e10)) != h1(e13)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e13)) != op2(e20,e23)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e13)) != h4(e10)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | definitionFOFtoCNF_5 ),
    inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_0_381,refute_0_386]) ).

cnf(refute_0_388,plain,
    ( h3(e11) != e21
    | ~ definitionFOFtoCNF_5 ),
    inference(canonicalize,[],[normalize_0_34]) ).

cnf(refute_0_389,plain,
    ( e21 != e21
    | h3(e11) != e21
    | h3(e11) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(h3(e11),e21) ),[1],$fot(e21)]]) ).

cnf(refute_0_390,plain,
    ( e21 != e21
    | h3(e11) = e21 ),
    inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_0_10,refute_0_389]) ).

cnf(refute_0_391,plain,
    ( e21 != e21
    | ~ definitionFOFtoCNF_5 ),
    inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_0_390,refute_0_388]) ).

cnf(refute_0_392,plain,
    ~ definitionFOFtoCNF_5,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_378,refute_0_391]) ).

cnf(refute_0_393,plain,
    ( h3(op1(e10,e10)) != h1(e13)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e13)) != op2(e20,e23)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e13)) != h4(e10)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e13,e11)) != op2(e23,e21) ),
    inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_0_387,refute_0_392]) ).

cnf(refute_0_394,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(canonicalize,[],[normalize_0_36]) ).

cnf(refute_0_395,plain,
    op1(e13,e11) != op1(e13,e12),
    inference(canonicalize,[],[normalize_0_38]) ).

cnf(refute_0_396,plain,
    ( op1(e13,e11) != e10
    | op1(e13,e12) != e10
    | op1(e13,e11) = op1(e13,e12) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e12)) ),[1],$fot(e10)]]) ).

cnf(refute_0_397,plain,
    ( op1(e13,e11) != e10
    | op1(e13,e11) = op1(e13,e12) ),
    inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_0_104,refute_0_396]) ).

cnf(refute_0_398,plain,
    op1(e13,e11) != e10,
    inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e12)) )],[refute_0_397,refute_0_395]) ).

cnf(refute_0_399,plain,
    ( op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_0_394,refute_0_398]) ).

cnf(refute_0_400,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(canonicalize,[],[normalize_0_39]) ).

cnf(refute_0_401,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e13) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e11),op1(e13,e13)) ),[1],$fot(e11)]]) ).

cnf(refute_0_402,plain,
    ( op1(e13,e11) != e11
    | op1(e13,e11) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_32,refute_0_401]) ).

cnf(refute_0_403,plain,
    op1(e13,e11) != e11,
    inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_0_402,refute_0_400]) ).

cnf(refute_0_404,plain,
    ( op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_0_399,refute_0_403]) ).

cnf(refute_0_405,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(canonicalize,[],[normalize_0_40]) ).

cnf(refute_0_406,plain,
    ( op1(e10,e10) = e13
    | op1(e10,e11) = e13
    | op1(e10,e12) = e13
    | op1(e10,e13) = e13 ),
    inference(canonicalize,[],[normalize_0_42]) ).

cnf(refute_0_407,plain,
    op1(e10,e12) != op1(e12,e12),
    inference(canonicalize,[],[normalize_0_43]) ).

cnf(refute_0_408,plain,
    ( op1(e10,e12) != e13
    | op1(e12,e12) != e13
    | op1(e10,e12) = op1(e12,e12) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).

cnf(refute_0_409,plain,
    ( op1(e10,e12) != e13
    | op1(e10,e12) = op1(e12,e12) ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_14,refute_0_408]) ).

cnf(refute_0_410,plain,
    op1(e10,e12) != e13,
    inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_0_409,refute_0_407]) ).

cnf(refute_0_411,plain,
    ( op1(e10,e10) = e13
    | op1(e10,e11) = e13
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_0_406,refute_0_410]) ).

cnf(refute_0_412,plain,
    ( op1(e12,e12) != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(canonicalize,[],[normalize_0_47]) ).

cnf(refute_0_413,plain,
    ( e13 != e13
    | op1(e12,e12) != e13
    | op1(e12,e12) = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(e13)]]) ).

cnf(refute_0_414,plain,
    ( e13 != e13
    | op1(e12,e12) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_14,refute_0_413]) ).

cnf(refute_0_415,plain,
    ( e13 != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_414,refute_0_412]) ).

cnf(refute_0_416,plain,
    e13 = e13,
    introduced(tautology,[refl,[$fot(e13)]]) ).

cnf(refute_0_417,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(resolve,[$cnf( $equal(e13,e13) )],[refute_0_416,refute_0_415]) ).

cnf(refute_0_418,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(canonicalize,[],[normalize_0_50]) ).

cnf(refute_0_419,plain,
    ( op1(e12,e12) != e10
    | op1(e12,e12) != e13
    | e13 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[0],$fot(e13)]]) ).

cnf(refute_0_420,plain,
    ( op1(e12,e12) != e10
    | e13 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_14,refute_0_419]) ).

cnf(refute_0_421,plain,
    ( e13 = e10
    | op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_0_418,refute_0_420]) ).

cnf(refute_0_422,plain,
    e10 != e13,
    inference(canonicalize,[],[normalize_0_52]) ).

cnf(refute_0_423,plain,
    ( e13 != e10
    | e10 = e13 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).

cnf(refute_0_424,plain,
    e13 != e10,
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_0_423,refute_0_422]) ).

cnf(refute_0_425,plain,
    ( op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(e13,e10) )],[refute_0_421,refute_0_424]) ).

cnf(refute_0_426,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e13) != e11
    | e11 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).

cnf(refute_0_427,plain,
    ( op1(e13,e13) != e10
    | e11 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_32,refute_0_426]) ).

cnf(refute_0_428,plain,
    ( e11 = e10
    | op1(e11,e11) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_0_425,refute_0_427]) ).

cnf(refute_0_429,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_0_53]) ).

cnf(refute_0_430,plain,
    ( e11 != e10
    | e10 = e11 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).

cnf(refute_0_431,plain,
    e11 != e10,
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_0_430,refute_0_429]) ).

cnf(refute_0_432,plain,
    op1(e11,e11) = e10,
    inference(resolve,[$cnf( $equal(e11,e10) )],[refute_0_428,refute_0_431]) ).

cnf(refute_0_433,plain,
    ( op1(e11,e11) != e10
    | op1(e11,e11) != e12
    | e10 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[0],$fot(e10)]]) ).

cnf(refute_0_434,plain,
    ( op1(e11,e11) != e12
    | e10 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_0_432,refute_0_433]) ).

cnf(refute_0_435,plain,
    ( e10 = e12
    | op1(e10,e10) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_0_417,refute_0_434]) ).

cnf(refute_0_436,plain,
    e10 != e12,
    inference(canonicalize,[],[normalize_0_54]) ).

cnf(refute_0_437,plain,
    op1(e10,e10) = e12,
    inference(resolve,[$cnf( $equal(e10,e12) )],[refute_0_435,refute_0_436]) ).

cnf(refute_0_438,plain,
    ( op1(e10,e10) != e12
    | op1(e10,e10) != e13
    | e12 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e13) ),[0],$fot(e12)]]) ).

cnf(refute_0_439,plain,
    ( op1(e10,e10) != e13
    | e12 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_0_437,refute_0_438]) ).

cnf(refute_0_440,plain,
    ( e12 = e13
    | op1(e10,e11) = e13
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_0_411,refute_0_439]) ).

cnf(refute_0_441,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e11) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(canonicalize,[],[normalize_0_55]) ).

cnf(refute_0_442,plain,
    ( op1(e10,e10) != e10
    | op1(e10,e10) != e12
    | e12 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[0],$fot(e12)]]) ).

cnf(refute_0_443,plain,
    ( op1(e10,e10) != e10
    | e12 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_0_437,refute_0_442]) ).

cnf(refute_0_444,plain,
    ( e12 = e10
    | op1(e10,e11) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_0_441,refute_0_443]) ).

cnf(refute_0_445,plain,
    ( e12 != e10
    | e10 = e12 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).

cnf(refute_0_446,plain,
    e12 != e10,
    inference(resolve,[$cnf( $equal(e10,e12) )],[refute_0_445,refute_0_436]) ).

cnf(refute_0_447,plain,
    ( op1(e10,e11) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(resolve,[$cnf( $equal(e12,e10) )],[refute_0_444,refute_0_446]) ).

cnf(refute_0_448,plain,
    op1(e10,e11) != op1(e11,e11),
    inference(canonicalize,[],[normalize_0_56]) ).

cnf(refute_0_449,plain,
    ( op1(e10,e11) != e10
    | op1(e11,e11) != e10
    | op1(e10,e11) = op1(e11,e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e11)) ),[1],$fot(e10)]]) ).

cnf(refute_0_450,plain,
    ( op1(e10,e11) != e10
    | op1(e10,e11) = op1(e11,e11) ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_0_432,refute_0_449]) ).

cnf(refute_0_451,plain,
    op1(e10,e11) != e10,
    inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e11)) )],[refute_0_450,refute_0_448]) ).

cnf(refute_0_452,plain,
    ( op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_0_447,refute_0_451]) ).

cnf(refute_0_453,plain,
    op1(e10,e12) != op1(e13,e12),
    inference(canonicalize,[],[normalize_0_57]) ).

cnf(refute_0_454,plain,
    ( op1(e10,e12) != e10
    | op1(e13,e12) != e10
    | op1(e10,e12) = op1(e13,e12) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).

cnf(refute_0_455,plain,
    ( op1(e10,e12) != e10
    | op1(e10,e12) = op1(e13,e12) ),
    inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_0_104,refute_0_454]) ).

cnf(refute_0_456,plain,
    op1(e10,e12) != e10,
    inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_0_455,refute_0_453]) ).

cnf(refute_0_457,plain,
    op1(e10,e13) = e10,
    inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_0_452,refute_0_456]) ).

cnf(refute_0_458,plain,
    ( op1(e10,e13) != e10
    | op1(e10,e13) != e13
    | e10 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0],$fot(e10)]]) ).

cnf(refute_0_459,plain,
    ( op1(e10,e13) != e13
    | e10 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_0_457,refute_0_458]) ).

cnf(refute_0_460,plain,
    ( e10 = e13
    | e12 = e13
    | op1(e10,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_0_440,refute_0_459]) ).

cnf(refute_0_461,plain,
    ( e12 = e13
    | op1(e10,e11) = e13 ),
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_0_460,refute_0_422]) ).

cnf(refute_0_462,plain,
    e12 != e13,
    inference(canonicalize,[],[normalize_0_58]) ).

cnf(refute_0_463,plain,
    op1(e10,e11) = e13,
    inference(resolve,[$cnf( $equal(e12,e13) )],[refute_0_461,refute_0_462]) ).

cnf(refute_0_464,plain,
    ( e13 != op1(e13,e11)
    | op1(e10,e11) != e13
    | op1(e10,e11) = op1(e13,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e13) ),[1],$fot(op1(e13,e11))]]) ).

cnf(refute_0_465,plain,
    ( e13 != op1(e13,e11)
    | op1(e10,e11) = op1(e13,e11) ),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_0_463,refute_0_464]) ).

cnf(refute_0_466,plain,
    e13 != op1(e13,e11),
    inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e13,e11)) )],[refute_0_465,refute_0_405]) ).

cnf(refute_0_467,plain,
    ( op1(e13,e11) != e13
    | e13 = op1(e13,e11) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(op1(e13,e11))),bind(Y,$fot(e13))]]) ).

cnf(refute_0_468,plain,
    op1(e13,e11) != e13,
    inference(resolve,[$cnf( $equal(e13,op1(e13,e11)) )],[refute_0_467,refute_0_466]) ).

cnf(refute_0_469,plain,
    op1(e13,e11) = e12,
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_0_404,refute_0_468]) ).

cnf(refute_0_470,plain,
    h3(op1(e13,e11)) = h3(op1(e13,e11)),
    introduced(tautology,[refl,[$fot(h3(op1(e13,e11)))]]) ).

cnf(refute_0_471,plain,
    ( h3(op1(e13,e11)) != h3(op1(e13,e11))
    | op1(e13,e11) != e12
    | h3(op1(e13,e11)) = h3(e12) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e11)),h3(op1(e13,e11))) ),[1,0],$fot(e12)]]) ).

cnf(refute_0_472,plain,
    ( op1(e13,e11) != e12
    | h3(op1(e13,e11)) = h3(e12) ),
    inference(resolve,[$cnf( $equal(h3(op1(e13,e11)),h3(op1(e13,e11))) )],[refute_0_470,refute_0_471]) ).

cnf(refute_0_473,plain,
    h3(op1(e13,e11)) = h3(e12),
    inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_0_469,refute_0_472]) ).

cnf(refute_0_474,plain,
    ( h3(e12) != e22
    | h3(op1(e13,e11)) != h3(e12)
    | h3(op1(e13,e11)) = e22 ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(h3(op1(e13,e11)))),bind(Y,$fot(h3(e12))),bind(Z,$fot(e22))]]) ).

cnf(refute_0_475,plain,
    ( h3(e12) != e22
    | h3(op1(e13,e11)) = e22 ),
    inference(resolve,[$cnf( $equal(h3(op1(e13,e11)),h3(e12)) )],[refute_0_473,refute_0_474]) ).

cnf(refute_0_476,plain,
    h3(op1(e13,e11)) = e22,
    inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_0_123,refute_0_475]) ).

cnf(refute_0_477,plain,
    ( e22 != op2(e23,e21)
    | h3(op1(e13,e11)) != e22
    | h3(op1(e13,e11)) = op2(e23,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e11)),e22) ),[1],$fot(op2(e23,e21))]]) ).

cnf(refute_0_478,plain,
    ( e22 != op2(e23,e21)
    | h3(op1(e13,e11)) = op2(e23,e21) ),
    inference(resolve,[$cnf( $equal(h3(op1(e13,e11)),e22) )],[refute_0_476,refute_0_477]) ).

cnf(refute_0_479,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(canonicalize,[],[normalize_0_60]) ).

cnf(refute_0_480,plain,
    h2(e10) = op2(op2(e21,e21),e21),
    inference(canonicalize,[],[normalize_0_61]) ).

cnf(refute_0_481,plain,
    op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
    introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).

cnf(refute_0_482,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
    | op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h2(e13))]]) ).

cnf(refute_0_483,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_0_481,refute_0_482]) ).

cnf(refute_0_484,plain,
    op2(op2(e21,e21),e21) = op2(h2(e13),e21),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_276,refute_0_483]) ).

cnf(refute_0_485,plain,
    ( h2(e10) != op2(op2(e21,e21),e21)
    | op2(op2(e21,e21),e21) != op2(h2(e13),e21)
    | h2(e10) = op2(h2(e13),e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(h2(e13),e21)) ),[0],$fot(op2(op2(e21,e21),e21))]]) ).

cnf(refute_0_486,plain,
    ( h2(e10) != op2(op2(e21,e21),e21)
    | h2(e10) = op2(h2(e13),e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h2(e13),e21)) )],[refute_0_484,refute_0_485]) ).

cnf(refute_0_487,plain,
    h2(e10) = op2(h2(e13),e21),
    inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),e21)) )],[refute_0_480,refute_0_486]) ).

cnf(refute_0_488,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(canonicalize,[],[normalize_0_65]) ).

cnf(refute_0_489,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).

cnf(refute_0_490,plain,
    ( op2(e21,e21) != e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_276,refute_0_489]) ).

cnf(refute_0_491,plain,
    ( h2(e13) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_0_488,refute_0_490]) ).

cnf(refute_0_492,plain,
    ( op2(e22,e22) != e20
    | op2(e22,e22) != e23
    | e23 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).

cnf(refute_0_493,plain,
    ( op2(e22,e22) != e20
    | e23 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_47,refute_0_492]) ).

cnf(refute_0_494,plain,
    ( e23 = e20
    | h2(e13) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_0_491,refute_0_493]) ).

cnf(refute_0_495,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e23) != h4(e13)
    | h4(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(h4(e13))]]) ).

cnf(refute_0_496,plain,
    ( op2(e23,e23) != e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_0_44,refute_0_495]) ).

cnf(refute_0_497,plain,
    ( e23 = e20
    | h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_0_494,refute_0_496]) ).

cnf(refute_0_498,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_0_67]) ).

cnf(refute_0_499,plain,
    ( e23 != e20
    | e20 = e23 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).

cnf(refute_0_500,plain,
    e23 != e20,
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_0_499,refute_0_498]) ).

cnf(refute_0_501,plain,
    ( h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(e23,e20) )],[refute_0_497,refute_0_500]) ).

cnf(refute_0_502,plain,
    ( h4(e13) != e20
    | h4(e13) != e21
    | e21 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),e20) ),[0],$fot(e21)]]) ).

cnf(refute_0_503,plain,
    ( h4(e13) != e20
    | e21 = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_0_66,refute_0_502]) ).

cnf(refute_0_504,plain,
    ( e21 = e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_0_501,refute_0_503]) ).

cnf(refute_0_505,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_0_68]) ).

cnf(refute_0_506,plain,
    ( e21 != e20
    | e20 = e21 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).

cnf(refute_0_507,plain,
    e21 != e20,
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_0_506,refute_0_505]) ).

cnf(refute_0_508,plain,
    h2(e13) = e20,
    inference(resolve,[$cnf( $equal(e21,e20) )],[refute_0_504,refute_0_507]) ).

cnf(refute_0_509,plain,
    op2(h2(e13),e21) = op2(h2(e13),e21),
    introduced(tautology,[refl,[$fot(op2(h2(e13),e21))]]) ).

cnf(refute_0_510,plain,
    ( h2(e13) != e20
    | op2(h2(e13),e21) != op2(h2(e13),e21)
    | op2(h2(e13),e21) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e21),op2(h2(e13),e21)) ),[1,0],$fot(e20)]]) ).

cnf(refute_0_511,plain,
    ( h2(e13) != e20
    | op2(h2(e13),e21) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),e21),op2(h2(e13),e21)) )],[refute_0_509,refute_0_510]) ).

cnf(refute_0_512,plain,
    op2(h2(e13),e21) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_0_508,refute_0_511]) ).

cnf(refute_0_513,plain,
    ( h2(e10) != op2(h2(e13),e21)
    | op2(h2(e13),e21) != op2(e20,e21)
    | h2(e10) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(e20,e21)) ),[0],$fot(op2(h2(e13),e21))]]) ).

cnf(refute_0_514,plain,
    ( h2(e10) != op2(h2(e13),e21)
    | h2(e10) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),e21),op2(e20,e21)) )],[refute_0_512,refute_0_513]) ).

cnf(refute_0_515,plain,
    h2(e10) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_0_487,refute_0_514]) ).

cnf(refute_0_516,plain,
    ( h2(e10) != op2(e20,e21)
    | op2(e20,e21) = h2(e10) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_0_517,plain,
    op2(e20,e21) = h2(e10),
    inference(resolve,[$cnf( $equal(h2(e10),op2(e20,e21)) )],[refute_0_515,refute_0_516]) ).

cnf(refute_0_518,plain,
    ( h2(e10) != op2(e23,e21)
    | op2(e20,e21) != h2(e10)
    | op2(e20,e21) = op2(e23,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),h2(e10)) ),[1],$fot(op2(e23,e21))]]) ).

cnf(refute_0_519,plain,
    ( h2(e10) != op2(e23,e21)
    | op2(e20,e21) = op2(e23,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e10)) )],[refute_0_517,refute_0_518]) ).

cnf(refute_0_520,plain,
    h2(e10) != op2(e23,e21),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e21)) )],[refute_0_519,refute_0_479]) ).

cnf(refute_0_521,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(canonicalize,[],[normalize_0_70]) ).

cnf(refute_0_522,plain,
    op2(e23,e21) != op2(e23,e22),
    inference(canonicalize,[],[normalize_0_71]) ).

cnf(refute_0_523,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e22) != e20
    | op2(e23,e21) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e22)) ),[1],$fot(e20)]]) ).

cnf(refute_0_524,plain,
    ( op2(e23,e21) != e20
    | op2(e23,e21) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_0_122,refute_0_523]) ).

cnf(refute_0_525,plain,
    op2(e23,e21) != e20,
    inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e22)) )],[refute_0_524,refute_0_522]) ).

cnf(refute_0_526,plain,
    ( op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e20) )],[refute_0_521,refute_0_525]) ).

cnf(refute_0_527,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(canonicalize,[],[normalize_0_72]) ).

cnf(refute_0_528,plain,
    ( op2(e23,e21) != h4(e13)
    | op2(e23,e23) != h4(e13)
    | op2(e23,e21) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).

cnf(refute_0_529,plain,
    ( op2(e23,e21) != h4(e13)
    | op2(e23,e21) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_0_44,refute_0_528]) ).

cnf(refute_0_530,plain,
    op2(e23,e21) != h4(e13),
    inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_0_529,refute_0_527]) ).

cnf(refute_0_531,plain,
    ( h4(e13) != e21
    | op2(e23,e21) != e21
    | op2(e23,e21) = h4(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),h4(e13)) ),[1],$fot(e21)]]) ).

cnf(refute_0_532,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e21) = h4(e13) ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_0_66,refute_0_531]) ).

cnf(refute_0_533,plain,
    op2(e23,e21) != e21,
    inference(resolve,[$cnf( $equal(op2(e23,e21),h4(e13)) )],[refute_0_532,refute_0_530]) ).

cnf(refute_0_534,plain,
    ( op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e21) )],[refute_0_526,refute_0_533]) ).

cnf(refute_0_535,plain,
    ( h2(e10) != e23
    | op2(e23,e21) != e23
    | h2(e10) = op2(e23,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(e23,e21)) ),[1],$fot(e23)]]) ).

cnf(refute_0_536,plain,
    ( h2(e10) != e23
    | h2(e10) = op2(e23,e21)
    | op2(e23,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e23) )],[refute_0_534,refute_0_535]) ).

cnf(refute_0_537,plain,
    ( h2(e10) != e23
    | op2(e23,e21) = e22 ),
    inference(resolve,[$cnf( $equal(h2(e10),op2(e23,e21)) )],[refute_0_536,refute_0_520]) ).

cnf(refute_0_538,plain,
    ( op2(e20,e20) = e23
    | op2(e20,e21) = e23
    | op2(e20,e22) = e23
    | op2(e20,e23) = e23 ),
    inference(canonicalize,[],[normalize_0_74]) ).

cnf(refute_0_539,plain,
    ( op2(e20,e20) != e23
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).

cnf(refute_0_540,plain,
    ( op2(e20,e20) != e23
    | h1(e13) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_351,refute_0_539]) ).

cnf(refute_0_541,plain,
    ( h1(e13) = e23
    | op2(e20,e21) = e23
    | op2(e20,e22) = e23
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_0_538,refute_0_540]) ).

cnf(refute_0_542,plain,
    op2(e20,e22) != op2(e22,e22),
    inference(canonicalize,[],[normalize_0_75]) ).

cnf(refute_0_543,plain,
    ( op2(e20,e22) != e23
    | op2(e22,e22) != e23
    | op2(e20,e22) = op2(e22,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).

cnf(refute_0_544,plain,
    ( op2(e20,e22) != e23
    | op2(e20,e22) = op2(e22,e22) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_47,refute_0_543]) ).

cnf(refute_0_545,plain,
    op2(e20,e22) != e23,
    inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_0_544,refute_0_542]) ).

cnf(refute_0_546,plain,
    ( h1(e13) = e23
    | op2(e20,e21) = e23
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_0_541,refute_0_545]) ).

cnf(refute_0_547,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(canonicalize,[],[normalize_0_78]) ).

cnf(refute_0_548,plain,
    ( e23 != e23
    | op2(e22,e22) != e23
    | op2(e22,e22) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(e23)]]) ).

cnf(refute_0_549,plain,
    ( e23 != e23
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_47,refute_0_548]) ).

cnf(refute_0_550,plain,
    ( e23 != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_549,refute_0_547]) ).

cnf(refute_0_551,plain,
    ( op2(e20,e20) != e22
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).

cnf(refute_0_552,plain,
    ( op2(e20,e20) != e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_351,refute_0_551]) ).

cnf(refute_0_553,plain,
    ( e23 != e23
    | h1(e13) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_0_550,refute_0_552]) ).

cnf(refute_0_554,plain,
    ( op2(e21,e21) != e22
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).

cnf(refute_0_555,plain,
    ( op2(e21,e21) != e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_276,refute_0_554]) ).

cnf(refute_0_556,plain,
    ( e23 != e23
    | h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_0_553,refute_0_555]) ).

cnf(refute_0_557,plain,
    ( h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_380,refute_0_556]) ).

cnf(refute_0_558,plain,
    ( h2(e13) != e20
    | h2(e13) != e22
    | e20 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[0],$fot(e20)]]) ).

cnf(refute_0_559,plain,
    ( h2(e13) != e22
    | e20 = e22 ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_0_508,refute_0_558]) ).

cnf(refute_0_560,plain,
    ( e20 = e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_0_557,refute_0_559]) ).

cnf(refute_0_561,plain,
    e20 != e22,
    inference(canonicalize,[],[normalize_0_79]) ).

cnf(refute_0_562,plain,
    h1(e13) = e22,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_0_560,refute_0_561]) ).

cnf(refute_0_563,plain,
    ( h1(e13) != e22
    | h1(e13) != e23
    | e22 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e13),e23) ),[0],$fot(e22)]]) ).

cnf(refute_0_564,plain,
    ( h1(e13) != e23
    | e22 = e23 ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_0_562,refute_0_563]) ).

cnf(refute_0_565,plain,
    ( e22 = e23
    | op2(e20,e21) = e23
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_0_546,refute_0_564]) ).

cnf(refute_0_566,plain,
    ( op2(e20,e21) != e23
    | op2(e20,e21) != h2(e10)
    | h2(e10) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[0],$fot(h2(e10))]]) ).

cnf(refute_0_567,plain,
    ( op2(e20,e21) != e23
    | h2(e10) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e10)) )],[refute_0_517,refute_0_566]) ).

cnf(refute_0_568,plain,
    ( e22 = e23
    | h2(e10) = e23
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_0_565,refute_0_567]) ).

cnf(refute_0_569,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(canonicalize,[],[normalize_0_80]) ).

cnf(refute_0_570,plain,
    ( op2(e20,e20) != e20
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).

cnf(refute_0_571,plain,
    ( op2(e20,e20) != e20
    | h1(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_351,refute_0_570]) ).

cnf(refute_0_572,plain,
    ( h1(e13) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_0_569,refute_0_571]) ).

cnf(refute_0_573,plain,
    ( h1(e13) != e20
    | h1(e13) != e22
    | e22 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[0],$fot(e22)]]) ).

cnf(refute_0_574,plain,
    ( h1(e13) != e20
    | e22 = e20 ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_0_562,refute_0_573]) ).

cnf(refute_0_575,plain,
    ( e22 = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_0_572,refute_0_574]) ).

cnf(refute_0_576,plain,
    ( op2(e20,e21) != e20
    | op2(e20,e21) != h2(e10)
    | h2(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[0],$fot(h2(e10))]]) ).

cnf(refute_0_577,plain,
    ( op2(e20,e21) != e20
    | h2(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e10)) )],[refute_0_517,refute_0_576]) ).

cnf(refute_0_578,plain,
    ( e22 = e20
    | h2(e10) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_0_575,refute_0_577]) ).

cnf(refute_0_579,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e22) = e21
    | op2(e20,e22) = e22
    | op2(e20,e22) = e23 ),
    inference(canonicalize,[],[normalize_0_81]) ).

cnf(refute_0_580,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e22) = e21
    | op2(e20,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_0_579,refute_0_545]) ).

cnf(refute_0_581,plain,
    op2(e20,e22) != op2(e23,e22),
    inference(canonicalize,[],[normalize_0_82]) ).

cnf(refute_0_582,plain,
    ( op2(e20,e22) != e20
    | op2(e23,e22) != e20
    | op2(e20,e22) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).

cnf(refute_0_583,plain,
    ( op2(e20,e22) != e20
    | op2(e20,e22) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_0_122,refute_0_582]) ).

cnf(refute_0_584,plain,
    op2(e20,e22) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_0_583,refute_0_581]) ).

cnf(refute_0_585,plain,
    ( op2(e20,e22) = e21
    | op2(e20,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_0_580,refute_0_584]) ).

cnf(refute_0_586,plain,
    op2(e20,e20) != op2(e20,e22),
    inference(canonicalize,[],[normalize_0_83]) ).

cnf(refute_0_587,plain,
    ( h1(e13) != op2(e20,e22)
    | op2(e20,e20) != h1(e13)
    | op2(e20,e20) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).

cnf(refute_0_588,plain,
    ( h1(e13) != op2(e20,e22)
    | op2(e20,e20) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_351,refute_0_587]) ).

cnf(refute_0_589,plain,
    h1(e13) != op2(e20,e22),
    inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_0_588,refute_0_586]) ).

cnf(refute_0_590,plain,
    ( e22 != op2(e20,e22)
    | h1(e13) != e22
    | h1(e13) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[1],$fot(op2(e20,e22))]]) ).

cnf(refute_0_591,plain,
    ( e22 != op2(e20,e22)
    | h1(e13) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_0_562,refute_0_590]) ).

cnf(refute_0_592,plain,
    e22 != op2(e20,e22),
    inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_0_591,refute_0_589]) ).

cnf(refute_0_593,plain,
    ( op2(e20,e22) != e22
    | e22 = op2(e20,e22) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(e22))]]) ).

cnf(refute_0_594,plain,
    op2(e20,e22) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e22)) )],[refute_0_593,refute_0_592]) ).

cnf(refute_0_595,plain,
    op2(e20,e22) = e21,
    inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_0_585,refute_0_594]) ).

cnf(refute_0_596,plain,
    ( op2(e20,e22) != e20
    | op2(e20,e22) != e21
    | e21 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[0],$fot(e21)]]) ).

cnf(refute_0_597,plain,
    ( op2(e20,e22) != e20
    | e21 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_0_595,refute_0_596]) ).

cnf(refute_0_598,plain,
    ( e21 = e20
    | e22 = e20
    | h2(e10) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_0_578,refute_0_597]) ).

cnf(refute_0_599,plain,
    ( e22 = e20
    | h2(e10) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(e21,e20) )],[refute_0_598,refute_0_507]) ).

cnf(refute_0_600,plain,
    ( e22 != e20
    | e20 = e22 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).

cnf(refute_0_601,plain,
    e22 != e20,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_0_600,refute_0_561]) ).

cnf(refute_0_602,plain,
    ( h2(e10) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(e22,e20) )],[refute_0_599,refute_0_601]) ).

cnf(refute_0_603,plain,
    op2(e20,e21) != op2(e21,e21),
    inference(canonicalize,[],[normalize_0_84]) ).

cnf(refute_0_604,plain,
    ( op2(e20,e21) != h2(e13)
    | op2(e21,e21) != h2(e13)
    | op2(e20,e21) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e13))]]) ).

cnf(refute_0_605,plain,
    ( op2(e20,e21) != h2(e13)
    | op2(e20,e21) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_276,refute_0_604]) ).

cnf(refute_0_606,plain,
    op2(e20,e21) != h2(e13),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_0_605,refute_0_603]) ).

cnf(refute_0_607,plain,
    ( h2(e10) != h2(e13)
    | op2(e20,e21) != h2(e10)
    | op2(e20,e21) = h2(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),h2(e10)) ),[1],$fot(h2(e13))]]) ).

cnf(refute_0_608,plain,
    ( h2(e10) != h2(e13)
    | op2(e20,e21) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e10)) )],[refute_0_517,refute_0_607]) ).

cnf(refute_0_609,plain,
    ( h2(e10) != e20
    | h2(e13) != e20
    | h2(e10) = h2(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e13)) ),[1],$fot(e20)]]) ).

cnf(refute_0_610,plain,
    ( h2(e10) != e20
    | h2(e10) = h2(e13) ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_0_508,refute_0_609]) ).

cnf(refute_0_611,plain,
    ( h2(e10) != e20
    | op2(e20,e21) = h2(e13) ),
    inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_0_610,refute_0_608]) ).

cnf(refute_0_612,plain,
    h2(e10) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e13)) )],[refute_0_611,refute_0_606]) ).

cnf(refute_0_613,plain,
    op2(e20,e23) = e20,
    inference(resolve,[$cnf( $equal(h2(e10),e20) )],[refute_0_602,refute_0_612]) ).

cnf(refute_0_614,plain,
    ( op2(e20,e23) != e20
    | op2(e20,e23) != e23
    | e20 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(e20)]]) ).

cnf(refute_0_615,plain,
    ( op2(e20,e23) != e23
    | e20 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_0_613,refute_0_614]) ).

cnf(refute_0_616,plain,
    ( e20 = e23
    | e22 = e23
    | h2(e10) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_0_568,refute_0_615]) ).

cnf(refute_0_617,plain,
    ( e22 = e23
    | h2(e10) = e23 ),
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_0_616,refute_0_498]) ).

cnf(refute_0_618,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_0_85]) ).

cnf(refute_0_619,plain,
    h2(e10) = e23,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_0_617,refute_0_618]) ).

cnf(refute_0_620,plain,
    ( e23 != e23
    | h2(e10) != e23
    | h2(e10) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e10),e23) ),[1],$fot(e23)]]) ).

cnf(refute_0_621,plain,
    ( e23 != e23
    | h2(e10) = e23 ),
    inference(resolve,[$cnf( $equal(h2(e10),e23) )],[refute_0_619,refute_0_620]) ).

cnf(refute_0_622,plain,
    ( e23 != e23
    | op2(e23,e21) = e22 ),
    inference(resolve,[$cnf( $equal(h2(e10),e23) )],[refute_0_621,refute_0_537]) ).

cnf(refute_0_623,plain,
    op2(e23,e21) = e22,
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_380,refute_0_622]) ).

cnf(refute_0_624,plain,
    ( e22 != e22
    | op2(e23,e21) != e22
    | e22 = op2(e23,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e23,e21)) ),[1],$fot(e22)]]) ).

cnf(refute_0_625,plain,
    ( e22 != e22
    | e22 = op2(e23,e21) ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_0_623,refute_0_624]) ).

cnf(refute_0_626,plain,
    ( e22 != e22
    | h3(op1(e13,e11)) = op2(e23,e21) ),
    inference(resolve,[$cnf( $equal(e22,op2(e23,e21)) )],[refute_0_625,refute_0_478]) ).

cnf(refute_0_627,plain,
    ( e22 != e22
    | h3(op1(e10,e10)) != h1(e13)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e13)) != op2(e20,e23)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e13)) != h4(e10)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e13,e10)) != op2(e23,e20) ),
    inference(resolve,[$cnf( $equal(h3(op1(e13,e11)),op2(e23,e21)) )],[refute_0_626,refute_0_393]) ).

cnf(refute_0_628,plain,
    ( op1(e13,e10) = e13
    | op1(e13,e11) = e13
    | op1(e13,e12) = e13
    | op1(e13,e13) = e13 ),
    inference(canonicalize,[],[normalize_0_86]) ).

cnf(refute_0_629,plain,
    op1(e12,e12) != op1(e13,e12),
    inference(canonicalize,[],[normalize_0_87]) ).

cnf(refute_0_630,plain,
    ( e13 != op1(e13,e12)
    | op1(e12,e12) != e13
    | op1(e12,e12) = op1(e13,e12) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e13,e12))]]) ).

cnf(refute_0_631,plain,
    ( e13 != op1(e13,e12)
    | op1(e12,e12) = op1(e13,e12) ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_14,refute_0_630]) ).

cnf(refute_0_632,plain,
    e13 != op1(e13,e12),
    inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e13,e12)) )],[refute_0_631,refute_0_629]) ).

cnf(refute_0_633,plain,
    ( op1(e13,e12) != e13
    | e13 = op1(e13,e12) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(op1(e13,e12))),bind(Y,$fot(e13))]]) ).

cnf(refute_0_634,plain,
    op1(e13,e12) != e13,
    inference(resolve,[$cnf( $equal(e13,op1(e13,e12)) )],[refute_0_633,refute_0_632]) ).

cnf(refute_0_635,plain,
    ( op1(e13,e10) = e13
    | op1(e13,e11) = e13
    | op1(e13,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e12),e13) )],[refute_0_628,refute_0_634]) ).

cnf(refute_0_636,plain,
    ( op1(e13,e13) != e11
    | op1(e13,e13) != e13
    | e11 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e11)]]) ).

cnf(refute_0_637,plain,
    ( op1(e13,e13) != e13
    | e11 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_32,refute_0_636]) ).

cnf(refute_0_638,plain,
    ( e11 = e13
    | op1(e13,e10) = e13
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_0_635,refute_0_637]) ).

cnf(refute_0_639,plain,
    e11 != e13,
    inference(canonicalize,[],[normalize_0_88]) ).

cnf(refute_0_640,plain,
    ( op1(e13,e10) = e13
    | op1(e13,e11) = e13 ),
    inference(resolve,[$cnf( $equal(e11,e13) )],[refute_0_638,refute_0_639]) ).

cnf(refute_0_641,plain,
    op1(e13,e10) = e13,
    inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_0_640,refute_0_468]) ).

cnf(refute_0_642,plain,
    h3(op1(e13,e10)) = h3(op1(e13,e10)),
    introduced(tautology,[refl,[$fot(h3(op1(e13,e10)))]]) ).

cnf(refute_0_643,plain,
    ( h3(op1(e13,e10)) != h3(op1(e13,e10))
    | op1(e13,e10) != e13
    | h3(op1(e13,e10)) = h3(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e10)),h3(op1(e13,e10))) ),[1,0],$fot(e13)]]) ).

cnf(refute_0_644,plain,
    ( op1(e13,e10) != e13
    | h3(op1(e13,e10)) = h3(e13) ),
    inference(resolve,[$cnf( $equal(h3(op1(e13,e10)),h3(op1(e13,e10))) )],[refute_0_642,refute_0_643]) ).

cnf(refute_0_645,plain,
    h3(op1(e13,e10)) = h3(e13),
    inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_0_641,refute_0_644]) ).

cnf(refute_0_646,plain,
    ( h3(e13) != e23
    | h3(op1(e13,e10)) != h3(e13)
    | h3(op1(e13,e10)) = e23 ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(h3(op1(e13,e10)))),bind(Y,$fot(h3(e13))),bind(Z,$fot(e23))]]) ).

cnf(refute_0_647,plain,
    ( h3(e13) != e23
    | h3(op1(e13,e10)) = e23 ),
    inference(resolve,[$cnf( $equal(h3(op1(e13,e10)),h3(e13)) )],[refute_0_645,refute_0_646]) ).

cnf(refute_0_648,plain,
    h3(op1(e13,e10)) = e23,
    inference(resolve,[$cnf( $equal(h3(e13),e23) )],[refute_0_372,refute_0_647]) ).

cnf(refute_0_649,plain,
    ( e23 != op2(e23,e20)
    | h3(op1(e13,e10)) != e23
    | h3(op1(e13,e10)) = op2(e23,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e10)),e23) ),[1],$fot(op2(e23,e20))]]) ).

cnf(refute_0_650,plain,
    ( e23 != op2(e23,e20)
    | h3(op1(e13,e10)) = op2(e23,e20) ),
    inference(resolve,[$cnf( $equal(h3(op1(e13,e10)),e23) )],[refute_0_648,refute_0_649]) ).

cnf(refute_0_651,plain,
    ( op2(e20,e20) = e23
    | op2(e21,e20) = e23
    | op2(e22,e20) = e23
    | op2(e23,e20) = e23 ),
    inference(canonicalize,[],[normalize_0_89]) ).

cnf(refute_0_652,plain,
    ( h1(e13) = e23
    | op2(e21,e20) = e23
    | op2(e22,e20) = e23
    | op2(e23,e20) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_0_651,refute_0_540]) ).

cnf(refute_0_653,plain,
    op2(e22,e20) != op2(e22,e22),
    inference(canonicalize,[],[normalize_0_90]) ).

cnf(refute_0_654,plain,
    ( op2(e22,e20) != e23
    | op2(e22,e22) != e23
    | op2(e22,e20) = op2(e22,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e22)) ),[1],$fot(e23)]]) ).

cnf(refute_0_655,plain,
    ( op2(e22,e20) != e23
    | op2(e22,e20) = op2(e22,e22) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_47,refute_0_654]) ).

cnf(refute_0_656,plain,
    op2(e22,e20) != e23,
    inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e22)) )],[refute_0_655,refute_0_653]) ).

cnf(refute_0_657,plain,
    ( h1(e13) = e23
    | op2(e21,e20) = e23
    | op2(e23,e20) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_0_652,refute_0_656]) ).

cnf(refute_0_658,plain,
    ( e22 = e23
    | op2(e21,e20) = e23
    | op2(e23,e20) = e23 ),
    inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_0_657,refute_0_564]) ).

cnf(refute_0_659,plain,
    ( op2(e21,e20) = e23
    | op2(e23,e20) = e23 ),
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_0_658,refute_0_618]) ).

cnf(refute_0_660,plain,
    op2(e21,e20) != op2(e21,e23),
    inference(canonicalize,[],[normalize_0_91]) ).

cnf(refute_0_661,plain,
    ( op2(e21,e20) != h4(e10)
    | op2(e21,e23) != h4(e10)
    | op2(e21,e20) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).

cnf(refute_0_662,plain,
    ( op2(e21,e20) != h4(e10)
    | op2(e21,e20) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_0_243,refute_0_661]) ).

cnf(refute_0_663,plain,
    op2(e21,e20) != h4(e10),
    inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e21,e23)) )],[refute_0_662,refute_0_660]) ).

cnf(refute_0_664,plain,
    ( op2(e21,e23) = e20
    | op2(e21,e23) = e21
    | op2(e21,e23) = e22
    | op2(e21,e23) = e23 ),
    inference(canonicalize,[],[normalize_0_92]) ).

cnf(refute_0_665,plain,
    ( op2(e21,e23) != e20
    | op2(e21,e23) != h4(e10)
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[0],$fot(h4(e10))]]) ).

cnf(refute_0_666,plain,
    ( op2(e21,e23) != e20
    | h4(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_0_243,refute_0_665]) ).

cnf(refute_0_667,plain,
    ( h4(e10) = e20
    | op2(e21,e23) = e21
    | op2(e21,e23) = e22
    | op2(e21,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_0_664,refute_0_666]) ).

cnf(refute_0_668,plain,
    ( op2(e21,e23) != e21
    | op2(e21,e23) != h4(e10)
    | h4(e10) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(h4(e10))]]) ).

cnf(refute_0_669,plain,
    ( op2(e21,e23) != e21
    | h4(e10) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_0_243,refute_0_668]) ).

cnf(refute_0_670,plain,
    ( h4(e10) = e20
    | h4(e10) = e21
    | op2(e21,e23) = e22
    | op2(e21,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_0_667,refute_0_669]) ).

cnf(refute_0_671,plain,
    ( op2(e21,e23) != e22
    | op2(e21,e23) != h4(e10)
    | h4(e10) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[0],$fot(h4(e10))]]) ).

cnf(refute_0_672,plain,
    ( op2(e21,e23) != e22
    | h4(e10) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_0_243,refute_0_671]) ).

cnf(refute_0_673,plain,
    ( h4(e10) = e20
    | h4(e10) = e21
    | h4(e10) = e22
    | op2(e21,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_0_670,refute_0_672]) ).

cnf(refute_0_674,plain,
    ( op2(e21,e23) != e23
    | op2(e21,e23) != h4(e10)
    | h4(e10) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(h4(e10))]]) ).

cnf(refute_0_675,plain,
    ( op2(e21,e23) != e23
    | h4(e10) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_0_243,refute_0_674]) ).

cnf(refute_0_676,plain,
    ( h4(e10) = e20
    | h4(e10) = e21
    | h4(e10) = e22
    | h4(e10) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_0_673,refute_0_675]) ).

cnf(refute_0_677,plain,
    op2(e21,e21) != op2(e21,e23),
    inference(canonicalize,[],[normalize_0_93]) ).

cnf(refute_0_678,plain,
    ( h2(e13) != op2(e21,e23)
    | op2(e21,e21) != h2(e13)
    | op2(e21,e21) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e21,e23))]]) ).

cnf(refute_0_679,plain,
    ( h2(e13) != op2(e21,e23)
    | op2(e21,e21) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_276,refute_0_678]) ).

cnf(refute_0_680,plain,
    h2(e13) != op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e23)) )],[refute_0_679,refute_0_677]) ).

cnf(refute_0_681,plain,
    ( h2(e13) != h4(e10)
    | op2(e21,e23) != h4(e10)
    | h2(e13) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).

cnf(refute_0_682,plain,
    ( h2(e13) != h4(e10)
    | h2(e13) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_0_243,refute_0_681]) ).

cnf(refute_0_683,plain,
    h2(e13) != h4(e10),
    inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e23)) )],[refute_0_682,refute_0_680]) ).

cnf(refute_0_684,plain,
    ( e20 != h4(e10)
    | h2(e13) != e20
    | h2(e13) = h4(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e13),e20) ),[1],$fot(h4(e10))]]) ).

cnf(refute_0_685,plain,
    ( e20 != h4(e10)
    | h2(e13) = h4(e10) ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_0_508,refute_0_684]) ).

cnf(refute_0_686,plain,
    e20 != h4(e10),
    inference(resolve,[$cnf( $equal(h2(e13),h4(e10)) )],[refute_0_685,refute_0_683]) ).

cnf(refute_0_687,plain,
    ( h4(e10) != e20
    | e20 = h4(e10) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(h4(e10))),bind(Y,$fot(e20))]]) ).

cnf(refute_0_688,plain,
    h4(e10) != e20,
    inference(resolve,[$cnf( $equal(e20,h4(e10)) )],[refute_0_687,refute_0_686]) ).

cnf(refute_0_689,plain,
    ( h4(e10) = e21
    | h4(e10) = e22
    | h4(e10) = e23 ),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_0_676,refute_0_688]) ).

cnf(refute_0_690,plain,
    op2(e21,e23) != op2(e23,e23),
    inference(canonicalize,[],[normalize_0_94]) ).

cnf(refute_0_691,plain,
    ( op2(e21,e23) != h4(e13)
    | op2(e23,e23) != h4(e13)
    | op2(e21,e23) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).

cnf(refute_0_692,plain,
    ( op2(e21,e23) != h4(e13)
    | op2(e21,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_0_44,refute_0_691]) ).

cnf(refute_0_693,plain,
    op2(e21,e23) != h4(e13),
    inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_0_692,refute_0_690]) ).

cnf(refute_0_694,plain,
    ( h4(e10) != h4(e13)
    | op2(e21,e23) != h4(e10)
    | op2(e21,e23) = h4(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h4(e10)) ),[1],$fot(h4(e13))]]) ).

cnf(refute_0_695,plain,
    ( h4(e10) != h4(e13)
    | op2(e21,e23) = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_0_243,refute_0_694]) ).

cnf(refute_0_696,plain,
    ( h4(e10) != e21
    | h4(e13) != e21
    | h4(e10) = h4(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h4(e13)) ),[1],$fot(e21)]]) ).

cnf(refute_0_697,plain,
    ( h4(e10) != e21
    | h4(e10) = h4(e13) ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_0_66,refute_0_696]) ).

cnf(refute_0_698,plain,
    ( h4(e10) != e21
    | op2(e21,e23) = h4(e13) ),
    inference(resolve,[$cnf( $equal(h4(e10),h4(e13)) )],[refute_0_697,refute_0_695]) ).

cnf(refute_0_699,plain,
    h4(e10) != e21,
    inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e13)) )],[refute_0_698,refute_0_693]) ).

cnf(refute_0_700,plain,
    ( h4(e10) = e22
    | h4(e10) = e23 ),
    inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_0_689,refute_0_699]) ).

cnf(refute_0_701,plain,
    op2(e21,e22) != op2(e21,e23),
    inference(canonicalize,[],[normalize_0_95]) ).

cnf(refute_0_702,plain,
    ( op2(e21,e22) != h4(e10)
    | op2(e21,e23) != h4(e10)
    | op2(e21,e22) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).

cnf(refute_0_703,plain,
    ( op2(e21,e22) != h4(e10)
    | op2(e21,e22) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_0_243,refute_0_702]) ).

cnf(refute_0_704,plain,
    op2(e21,e22) != h4(e10),
    inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e21,e23)) )],[refute_0_703,refute_0_701]) ).

cnf(refute_0_705,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e22,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(canonicalize,[],[normalize_0_96]) ).

cnf(refute_0_706,plain,
    ( op2(e22,e22) != e22
    | op2(e22,e22) != e23
    | e23 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(e23)]]) ).

cnf(refute_0_707,plain,
    ( op2(e22,e22) != e22
    | e23 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_47,refute_0_706]) ).

cnf(refute_0_708,plain,
    ( e23 = e22
    | op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_0_705,refute_0_707]) ).

cnf(refute_0_709,plain,
    ( e23 != e22
    | e22 = e23 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).

cnf(refute_0_710,plain,
    e23 != e22,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_0_709,refute_0_618]) ).

cnf(refute_0_711,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(resolve,[$cnf( $equal(e23,e22) )],[refute_0_708,refute_0_710]) ).

cnf(refute_0_712,plain,
    ( op2(e20,e22) != e21
    | op2(e20,e22) != e22
    | e21 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e22) ),[0],$fot(e21)]]) ).

cnf(refute_0_713,plain,
    ( op2(e20,e22) != e22
    | e21 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_0_595,refute_0_712]) ).

cnf(refute_0_714,plain,
    ( e21 = e22
    | op2(e21,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_0_711,refute_0_713]) ).

cnf(refute_0_715,plain,
    ( op2(e23,e22) != e20
    | op2(e23,e22) != e22
    | e20 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e22) ),[0],$fot(e20)]]) ).

cnf(refute_0_716,plain,
    ( op2(e23,e22) != e22
    | e20 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_0_122,refute_0_715]) ).

cnf(refute_0_717,plain,
    ( e20 = e22
    | e21 = e22
    | op2(e21,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_0_714,refute_0_716]) ).

cnf(refute_0_718,plain,
    ( e21 = e22
    | op2(e21,e22) = e22 ),
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_0_717,refute_0_561]) ).

cnf(refute_0_719,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_0_97]) ).

cnf(refute_0_720,plain,
    op2(e21,e22) = e22,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_0_718,refute_0_719]) ).

cnf(refute_0_721,plain,
    ( e22 != h4(e10)
    | op2(e21,e22) != e22
    | op2(e21,e22) = h4(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[1],$fot(h4(e10))]]) ).

cnf(refute_0_722,plain,
    ( e22 != h4(e10)
    | op2(e21,e22) = h4(e10) ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_0_720,refute_0_721]) ).

cnf(refute_0_723,plain,
    e22 != h4(e10),
    inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e10)) )],[refute_0_722,refute_0_704]) ).

cnf(refute_0_724,plain,
    ( h4(e10) != e22
    | e22 = h4(e10) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(h4(e10))),bind(Y,$fot(e22))]]) ).

cnf(refute_0_725,plain,
    h4(e10) != e22,
    inference(resolve,[$cnf( $equal(e22,h4(e10)) )],[refute_0_724,refute_0_723]) ).

cnf(refute_0_726,plain,
    h4(e10) = e23,
    inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_0_700,refute_0_725]) ).

cnf(refute_0_727,plain,
    ( h4(e10) != e23
    | op2(e21,e20) != e23
    | op2(e21,e20) = h4(e10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e20),h4(e10)) ),[1],$fot(e23)]]) ).

cnf(refute_0_728,plain,
    ( op2(e21,e20) != e23
    | op2(e21,e20) = h4(e10) ),
    inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_0_726,refute_0_727]) ).

cnf(refute_0_729,plain,
    op2(e21,e20) != e23,
    inference(resolve,[$cnf( $equal(op2(e21,e20),h4(e10)) )],[refute_0_728,refute_0_663]) ).

cnf(refute_0_730,plain,
    op2(e23,e20) = e23,
    inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_0_659,refute_0_729]) ).

cnf(refute_0_731,plain,
    ( e23 != e23
    | op2(e23,e20) != e23
    | e23 = op2(e23,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e23,e20)) ),[1],$fot(e23)]]) ).

cnf(refute_0_732,plain,
    ( e23 != e23
    | e23 = op2(e23,e20) ),
    inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_0_730,refute_0_731]) ).

cnf(refute_0_733,plain,
    ( e23 != e23
    | h3(op1(e13,e10)) = op2(e23,e20) ),
    inference(resolve,[$cnf( $equal(e23,op2(e23,e20)) )],[refute_0_732,refute_0_650]) ).

cnf(refute_0_734,plain,
    ( e22 != e22
    | e23 != e23
    | h3(op1(e10,e10)) != h1(e13)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e13)) != op2(e20,e23)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e13)) != h4(e10)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e13)) != op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(h3(op1(e13,e10)),op2(e23,e20)) )],[refute_0_733,refute_0_627]) ).

cnf(refute_0_735,plain,
    ( op1(e12,e13) = e10
    | op1(e12,e13) = e11
    | op1(e12,e13) = e12
    | op1(e12,e13) = e13 ),
    inference(canonicalize,[],[normalize_0_98]) ).

cnf(refute_0_736,plain,
    op1(e12,e12) != op1(e12,e13),
    inference(canonicalize,[],[normalize_0_99]) ).

cnf(refute_0_737,plain,
    ( e13 != op1(e12,e13)
    | op1(e12,e12) != e13
    | op1(e12,e12) = op1(e12,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(op1(e12,e13))]]) ).

cnf(refute_0_738,plain,
    ( e13 != op1(e12,e13)
    | op1(e12,e12) = op1(e12,e13) ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_14,refute_0_737]) ).

cnf(refute_0_739,plain,
    e13 != op1(e12,e13),
    inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_0_738,refute_0_736]) ).

cnf(refute_0_740,plain,
    ( op1(e12,e13) != e13
    | e13 = op1(e12,e13) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e13))]]) ).

cnf(refute_0_741,plain,
    op1(e12,e13) != e13,
    inference(resolve,[$cnf( $equal(e13,op1(e12,e13)) )],[refute_0_740,refute_0_739]) ).

cnf(refute_0_742,plain,
    ( op1(e12,e13) = e10
    | op1(e12,e13) = e11
    | op1(e12,e13) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_0_735,refute_0_741]) ).

cnf(refute_0_743,plain,
    op1(e10,e13) != op1(e12,e13),
    inference(canonicalize,[],[normalize_0_100]) ).

cnf(refute_0_744,plain,
    ( e10 != op1(e12,e13)
    | op1(e10,e13) != e10
    | op1(e10,e13) = op1(e12,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e10) ),[1],$fot(op1(e12,e13))]]) ).

cnf(refute_0_745,plain,
    ( e10 != op1(e12,e13)
    | op1(e10,e13) = op1(e12,e13) ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_0_457,refute_0_744]) ).

cnf(refute_0_746,plain,
    e10 != op1(e12,e13),
    inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_0_745,refute_0_743]) ).

cnf(refute_0_747,plain,
    ( op1(e12,e13) != e10
    | e10 = op1(e12,e13) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(op1(e12,e13))),bind(Y,$fot(e10))]]) ).

cnf(refute_0_748,plain,
    op1(e12,e13) != e10,
    inference(resolve,[$cnf( $equal(e10,op1(e12,e13)) )],[refute_0_747,refute_0_746]) ).

cnf(refute_0_749,plain,
    ( op1(e12,e13) = e11
    | op1(e12,e13) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_0_742,refute_0_748]) ).

cnf(refute_0_750,plain,
    op1(e12,e13) != op1(e13,e13),
    inference(canonicalize,[],[normalize_0_101]) ).

cnf(refute_0_751,plain,
    ( op1(e12,e13) != e11
    | op1(e13,e13) != e11
    | op1(e12,e13) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).

cnf(refute_0_752,plain,
    ( op1(e12,e13) != e11
    | op1(e12,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_32,refute_0_751]) ).

cnf(refute_0_753,plain,
    op1(e12,e13) != e11,
    inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_0_752,refute_0_750]) ).

cnf(refute_0_754,plain,
    op1(e12,e13) = e12,
    inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_0_749,refute_0_753]) ).

cnf(refute_0_755,plain,
    h3(op1(e12,e13)) = h3(op1(e12,e13)),
    introduced(tautology,[refl,[$fot(h3(op1(e12,e13)))]]) ).

cnf(refute_0_756,plain,
    ( h3(op1(e12,e13)) != h3(op1(e12,e13))
    | op1(e12,e13) != e12
    | h3(op1(e12,e13)) = h3(e12) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e13)),h3(op1(e12,e13))) ),[1,0],$fot(e12)]]) ).

cnf(refute_0_757,plain,
    ( op1(e12,e13) != e12
    | h3(op1(e12,e13)) = h3(e12) ),
    inference(resolve,[$cnf( $equal(h3(op1(e12,e13)),h3(op1(e12,e13))) )],[refute_0_755,refute_0_756]) ).

cnf(refute_0_758,plain,
    h3(op1(e12,e13)) = h3(e12),
    inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_0_754,refute_0_757]) ).

cnf(refute_0_759,plain,
    ( h3(e12) != e22
    | h3(op1(e12,e13)) != h3(e12)
    | h3(op1(e12,e13)) = e22 ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(h3(op1(e12,e13)))),bind(Y,$fot(h3(e12))),bind(Z,$fot(e22))]]) ).

cnf(refute_0_760,plain,
    ( h3(e12) != e22
    | h3(op1(e12,e13)) = e22 ),
    inference(resolve,[$cnf( $equal(h3(op1(e12,e13)),h3(e12)) )],[refute_0_758,refute_0_759]) ).

cnf(refute_0_761,plain,
    h3(op1(e12,e13)) = e22,
    inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_0_123,refute_0_760]) ).

cnf(refute_0_762,plain,
    ( e22 != op2(e22,e23)
    | h3(op1(e12,e13)) != e22
    | h3(op1(e12,e13)) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e13)),e22) ),[1],$fot(op2(e22,e23))]]) ).

cnf(refute_0_763,plain,
    ( e22 != op2(e22,e23)
    | h3(op1(e12,e13)) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(h3(op1(e12,e13)),e22) )],[refute_0_761,refute_0_762]) ).

cnf(refute_0_764,plain,
    ( op2(e22,e23) = e20
    | op2(e22,e23) = e21
    | op2(e22,e23) = e22
    | op2(e22,e23) = e23 ),
    inference(canonicalize,[],[normalize_0_102]) ).

cnf(refute_0_765,plain,
    op2(e22,e22) != op2(e22,e23),
    inference(canonicalize,[],[normalize_0_103]) ).

cnf(refute_0_766,plain,
    ( e23 != op2(e22,e23)
    | op2(e22,e22) != e23
    | op2(e22,e22) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).

cnf(refute_0_767,plain,
    ( e23 != op2(e22,e23)
    | op2(e22,e22) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_47,refute_0_766]) ).

cnf(refute_0_768,plain,
    e23 != op2(e22,e23),
    inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_0_767,refute_0_765]) ).

cnf(refute_0_769,plain,
    ( op2(e22,e23) != e23
    | e23 = op2(e22,e23) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).

cnf(refute_0_770,plain,
    op2(e22,e23) != e23,
    inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_0_769,refute_0_768]) ).

cnf(refute_0_771,plain,
    ( op2(e22,e23) = e20
    | op2(e22,e23) = e21
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_0_764,refute_0_770]) ).

cnf(refute_0_772,plain,
    op2(e22,e20) != op2(e22,e23),
    inference(canonicalize,[],[normalize_0_104]) ).

cnf(refute_0_773,plain,
    h1(e10) = op2(op2(e20,e20),e20),
    inference(canonicalize,[],[normalize_0_105]) ).

cnf(refute_0_774,plain,
    op2(op2(e20,e20),e20) = op2(op2(e20,e20),e20),
    introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e20))]]) ).

cnf(refute_0_775,plain,
    ( op2(e20,e20) != h1(e13)
    | op2(op2(e20,e20),e20) != op2(op2(e20,e20),e20)
    | op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) ),[1,0],$fot(h1(e13))]]) ).

cnf(refute_0_776,plain,
    ( op2(e20,e20) != h1(e13)
    | op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) )],[refute_0_774,refute_0_775]) ).

cnf(refute_0_777,plain,
    op2(op2(e20,e20),e20) = op2(h1(e13),e20),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_351,refute_0_776]) ).

cnf(refute_0_778,plain,
    ( h1(e10) != op2(op2(e20,e20),e20)
    | op2(op2(e20,e20),e20) != op2(h1(e13),e20)
    | h1(e10) = op2(h1(e13),e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e13),e20)) ),[0],$fot(op2(op2(e20,e20),e20))]]) ).

cnf(refute_0_779,plain,
    ( h1(e10) != op2(op2(e20,e20),e20)
    | h1(e10) = op2(h1(e13),e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(h1(e13),e20)) )],[refute_0_777,refute_0_778]) ).

cnf(refute_0_780,plain,
    h1(e10) = op2(h1(e13),e20),
    inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),e20)) )],[refute_0_773,refute_0_779]) ).

cnf(refute_0_781,plain,
    op2(h1(e13),e20) = op2(h1(e13),e20),
    introduced(tautology,[refl,[$fot(op2(h1(e13),e20))]]) ).

cnf(refute_0_782,plain,
    ( h1(e13) != e22
    | op2(h1(e13),e20) != op2(h1(e13),e20)
    | op2(h1(e13),e20) = op2(e22,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e20),op2(h1(e13),e20)) ),[1,0],$fot(e22)]]) ).

cnf(refute_0_783,plain,
    ( h1(e13) != e22
    | op2(h1(e13),e20) = op2(e22,e20) ),
    inference(resolve,[$cnf( $equal(op2(h1(e13),e20),op2(h1(e13),e20)) )],[refute_0_781,refute_0_782]) ).

cnf(refute_0_784,plain,
    op2(h1(e13),e20) = op2(e22,e20),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_0_562,refute_0_783]) ).

cnf(refute_0_785,plain,
    ( h1(e10) != op2(h1(e13),e20)
    | op2(h1(e13),e20) != op2(e22,e20)
    | h1(e10) = op2(e22,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(e22,e20)) ),[0],$fot(op2(h1(e13),e20))]]) ).

cnf(refute_0_786,plain,
    ( h1(e10) != op2(h1(e13),e20)
    | h1(e10) = op2(e22,e20) ),
    inference(resolve,[$cnf( $equal(op2(h1(e13),e20),op2(e22,e20)) )],[refute_0_784,refute_0_785]) ).

cnf(refute_0_787,plain,
    h1(e10) = op2(e22,e20),
    inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),e20)) )],[refute_0_780,refute_0_786]) ).

cnf(refute_0_788,plain,
    ( h1(e10) != op2(e22,e20)
    | op2(e22,e20) = h1(e10) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(e22,e20)))]]) ).

cnf(refute_0_789,plain,
    op2(e22,e20) = h1(e10),
    inference(resolve,[$cnf( $equal(h1(e10),op2(e22,e20)) )],[refute_0_787,refute_0_788]) ).

cnf(refute_0_790,plain,
    ( h1(e10) != op2(e22,e23)
    | op2(e22,e20) != h1(e10)
    | op2(e22,e20) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),h1(e10)) ),[1],$fot(op2(e22,e23))]]) ).

cnf(refute_0_791,plain,
    ( h1(e10) != op2(e22,e23)
    | op2(e22,e20) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),h1(e10)) )],[refute_0_789,refute_0_790]) ).

cnf(refute_0_792,plain,
    h1(e10) != op2(e22,e23),
    inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e23)) )],[refute_0_791,refute_0_772]) ).

cnf(refute_0_793,plain,
    op2(e20,e23) != op2(e22,e23),
    inference(canonicalize,[],[normalize_0_106]) ).

cnf(refute_0_794,plain,
    ( op2(e22,e20) = e20
    | op2(e22,e21) = e20
    | op2(e22,e22) = e20
    | op2(e22,e23) = e20 ),
    inference(canonicalize,[],[normalize_0_107]) ).

cnf(refute_0_795,plain,
    ( e23 = e20
    | op2(e22,e20) = e20
    | op2(e22,e21) = e20
    | op2(e22,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_0_794,refute_0_493]) ).

cnf(refute_0_796,plain,
    ( op2(e22,e20) = e20
    | op2(e22,e21) = e20
    | op2(e22,e23) = e20 ),
    inference(resolve,[$cnf( $equal(e23,e20) )],[refute_0_795,refute_0_500]) ).

cnf(refute_0_797,plain,
    ( op2(e22,e20) != e20
    | op2(e22,e20) != h1(e10)
    | h1(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e20) ),[0],$fot(h1(e10))]]) ).

cnf(refute_0_798,plain,
    ( op2(e22,e20) != e20
    | h1(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),h1(e10)) )],[refute_0_789,refute_0_797]) ).

cnf(refute_0_799,plain,
    ( h1(e10) = e20
    | op2(e22,e21) = e20
    | op2(e22,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_0_796,refute_0_798]) ).

cnf(refute_0_800,plain,
    op2(e21,e21) != op2(e22,e21),
    inference(canonicalize,[],[normalize_0_108]) ).

cnf(refute_0_801,plain,
    ( h2(e13) != op2(e22,e21)
    | op2(e21,e21) != h2(e13)
    | op2(e21,e21) = op2(e22,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e22,e21))]]) ).

cnf(refute_0_802,plain,
    ( h2(e13) != op2(e22,e21)
    | op2(e21,e21) = op2(e22,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_276,refute_0_801]) ).

cnf(refute_0_803,plain,
    h2(e13) != op2(e22,e21),
    inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e22,e21)) )],[refute_0_802,refute_0_800]) ).

cnf(refute_0_804,plain,
    ( e20 != op2(e22,e21)
    | h2(e13) != e20
    | h2(e13) = op2(e22,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e13),e20) ),[1],$fot(op2(e22,e21))]]) ).

cnf(refute_0_805,plain,
    ( e20 != op2(e22,e21)
    | h2(e13) = op2(e22,e21) ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_0_508,refute_0_804]) ).

cnf(refute_0_806,plain,
    e20 != op2(e22,e21),
    inference(resolve,[$cnf( $equal(h2(e13),op2(e22,e21)) )],[refute_0_805,refute_0_803]) ).

cnf(refute_0_807,plain,
    ( op2(e22,e21) != e20
    | e20 = op2(e22,e21) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(op2(e22,e21))),bind(Y,$fot(e20))]]) ).

cnf(refute_0_808,plain,
    op2(e22,e21) != e20,
    inference(resolve,[$cnf( $equal(e20,op2(e22,e21)) )],[refute_0_807,refute_0_806]) ).

cnf(refute_0_809,plain,
    ( h1(e10) = e20
    | op2(e22,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_0_799,refute_0_808]) ).

cnf(refute_0_810,plain,
    ( op2(e20,e23) != e20
    | op2(e22,e23) != e20
    | op2(e20,e23) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e22,e23)) ),[1],$fot(e20)]]) ).

cnf(refute_0_811,plain,
    ( op2(e20,e23) != e20
    | h1(e10) = e20
    | op2(e20,e23) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_0_809,refute_0_810]) ).

cnf(refute_0_812,plain,
    ( op2(e20,e23) != e20
    | h1(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_0_811,refute_0_793]) ).

cnf(refute_0_813,plain,
    ( e20 != e20
    | op2(e20,e23) != e20
    | op2(e20,e23) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0,0],$fot(e20)]]) ).

cnf(refute_0_814,plain,
    ( e20 != e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_0_613,refute_0_813]) ).

cnf(refute_0_815,plain,
    ( e20 != e20
    | h1(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_0_814,refute_0_812]) ).

cnf(refute_0_816,plain,
    h1(e10) = e20,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_0_376,refute_0_815]) ).

cnf(refute_0_817,plain,
    ( e20 != op2(e22,e23)
    | h1(e10) != e20
    | h1(e10) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e10),e20) ),[1],$fot(op2(e22,e23))]]) ).

cnf(refute_0_818,plain,
    ( e20 != op2(e22,e23)
    | h1(e10) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_0_816,refute_0_817]) ).

cnf(refute_0_819,plain,
    e20 != op2(e22,e23),
    inference(resolve,[$cnf( $equal(h1(e10),op2(e22,e23)) )],[refute_0_818,refute_0_792]) ).

cnf(refute_0_820,plain,
    ( op2(e22,e23) != e20
    | e20 = op2(e22,e23) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e20))]]) ).

cnf(refute_0_821,plain,
    op2(e22,e23) != e20,
    inference(resolve,[$cnf( $equal(e20,op2(e22,e23)) )],[refute_0_820,refute_0_819]) ).

cnf(refute_0_822,plain,
    ( op2(e22,e23) = e21
    | op2(e22,e23) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_0_771,refute_0_821]) ).

cnf(refute_0_823,plain,
    op2(e22,e23) != op2(e23,e23),
    inference(canonicalize,[],[normalize_0_109]) ).

cnf(refute_0_824,plain,
    ( op2(e22,e23) != h4(e13)
    | op2(e23,e23) != h4(e13)
    | op2(e22,e23) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).

cnf(refute_0_825,plain,
    ( op2(e22,e23) != h4(e13)
    | op2(e22,e23) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_0_44,refute_0_824]) ).

cnf(refute_0_826,plain,
    op2(e22,e23) != h4(e13),
    inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_0_825,refute_0_823]) ).

cnf(refute_0_827,plain,
    ( h4(e13) != e21
    | op2(e22,e23) != e21
    | op2(e22,e23) = h4(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e23),h4(e13)) ),[1],$fot(e21)]]) ).

cnf(refute_0_828,plain,
    ( op2(e22,e23) != e21
    | op2(e22,e23) = h4(e13) ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_0_66,refute_0_827]) ).

cnf(refute_0_829,plain,
    op2(e22,e23) != e21,
    inference(resolve,[$cnf( $equal(op2(e22,e23),h4(e13)) )],[refute_0_828,refute_0_826]) ).

cnf(refute_0_830,plain,
    op2(e22,e23) = e22,
    inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_0_822,refute_0_829]) ).

cnf(refute_0_831,plain,
    ( e22 != e22
    | op2(e22,e23) != e22
    | e22 = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e22,e23)) ),[1],$fot(e22)]]) ).

cnf(refute_0_832,plain,
    ( e22 != e22
    | e22 = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e22) )],[refute_0_830,refute_0_831]) ).

cnf(refute_0_833,plain,
    ( e22 != e22
    | h3(op1(e12,e13)) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(e22,op2(e22,e23)) )],[refute_0_832,refute_0_763]) ).

cnf(refute_0_834,plain,
    ( e22 != e22
    | e23 != e23
    | h3(op1(e10,e10)) != h1(e13)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e13)) != op2(e20,e23)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e13)) != h4(e10)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e12,e11)) != op2(e22,e21) ),
    inference(resolve,[$cnf( $equal(h3(op1(e12,e13)),op2(e22,e23)) )],[refute_0_833,refute_0_734]) ).

cnf(refute_0_835,plain,
    op1(e12,e11) != op1(e12,e13),
    inference(canonicalize,[],[normalize_0_110]) ).

cnf(refute_0_836,plain,
    ( op1(e12,e11) = e10
    | op1(e12,e11) = e11
    | op1(e12,e11) = e12
    | op1(e12,e11) = e13 ),
    inference(canonicalize,[],[normalize_0_111]) ).

cnf(refute_0_837,plain,
    op1(e12,e11) != op1(e12,e12),
    inference(canonicalize,[],[normalize_0_112]) ).

cnf(refute_0_838,plain,
    ( op1(e12,e11) != e13
    | op1(e12,e12) != e13
    | op1(e12,e11) = op1(e12,e12) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e12)) ),[1],$fot(e13)]]) ).

cnf(refute_0_839,plain,
    ( op1(e12,e11) != e13
    | op1(e12,e11) = op1(e12,e12) ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_14,refute_0_838]) ).

cnf(refute_0_840,plain,
    op1(e12,e11) != e13,
    inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e12)) )],[refute_0_839,refute_0_837]) ).

cnf(refute_0_841,plain,
    ( op1(e12,e11) = e10
    | op1(e12,e11) = e11
    | op1(e12,e11) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_0_836,refute_0_840]) ).

cnf(refute_0_842,plain,
    op1(e11,e11) != op1(e12,e11),
    inference(canonicalize,[],[normalize_0_113]) ).

cnf(refute_0_843,plain,
    ( e10 != op1(e12,e11)
    | op1(e11,e11) != e10
    | op1(e11,e11) = op1(e12,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(op1(e12,e11))]]) ).

cnf(refute_0_844,plain,
    ( e10 != op1(e12,e11)
    | op1(e11,e11) = op1(e12,e11) ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_0_432,refute_0_843]) ).

cnf(refute_0_845,plain,
    e10 != op1(e12,e11),
    inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e12,e11)) )],[refute_0_844,refute_0_842]) ).

cnf(refute_0_846,plain,
    ( op1(e12,e11) != e10
    | e10 = op1(e12,e11) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(op1(e12,e11))),bind(Y,$fot(e10))]]) ).

cnf(refute_0_847,plain,
    op1(e12,e11) != e10,
    inference(resolve,[$cnf( $equal(e10,op1(e12,e11)) )],[refute_0_846,refute_0_845]) ).

cnf(refute_0_848,plain,
    ( op1(e12,e11) = e11
    | op1(e12,e11) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_0_841,refute_0_847]) ).

cnf(refute_0_849,plain,
    ( e12 != op1(e12,e13)
    | op1(e12,e11) != e12
    | op1(e12,e11) = op1(e12,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e12) ),[1],$fot(op1(e12,e13))]]) ).

cnf(refute_0_850,plain,
    ( e12 != op1(e12,e13)
    | op1(e12,e11) = e11
    | op1(e12,e11) = op1(e12,e13) ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_0_848,refute_0_849]) ).

cnf(refute_0_851,plain,
    ( e12 != op1(e12,e13)
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e13)) )],[refute_0_850,refute_0_835]) ).

cnf(refute_0_852,plain,
    ( e12 != e12
    | op1(e12,e13) != e12
    | e12 = op1(e12,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e12,e13)) ),[1],$fot(e12)]]) ).

cnf(refute_0_853,plain,
    ( e12 != e12
    | e12 = op1(e12,e13) ),
    inference(resolve,[$cnf( $equal(op1(e12,e13),e12) )],[refute_0_754,refute_0_852]) ).

cnf(refute_0_854,plain,
    ( e12 != e12
    | op1(e12,e11) = e11 ),
    inference(resolve,[$cnf( $equal(e12,op1(e12,e13)) )],[refute_0_853,refute_0_851]) ).

cnf(refute_0_855,plain,
    e12 = e12,
    introduced(tautology,[refl,[$fot(e12)]]) ).

cnf(refute_0_856,plain,
    op1(e12,e11) = e11,
    inference(resolve,[$cnf( $equal(e12,e12) )],[refute_0_855,refute_0_854]) ).

cnf(refute_0_857,plain,
    h3(op1(e12,e11)) = h3(op1(e12,e11)),
    introduced(tautology,[refl,[$fot(h3(op1(e12,e11)))]]) ).

cnf(refute_0_858,plain,
    ( h3(op1(e12,e11)) != h3(op1(e12,e11))
    | op1(e12,e11) != e11
    | h3(op1(e12,e11)) = h3(e11) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e11)),h3(op1(e12,e11))) ),[1,0],$fot(e11)]]) ).

cnf(refute_0_859,plain,
    ( op1(e12,e11) != e11
    | h3(op1(e12,e11)) = h3(e11) ),
    inference(resolve,[$cnf( $equal(h3(op1(e12,e11)),h3(op1(e12,e11))) )],[refute_0_857,refute_0_858]) ).

cnf(refute_0_860,plain,
    h3(op1(e12,e11)) = h3(e11),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_0_856,refute_0_859]) ).

cnf(refute_0_861,plain,
    ( h3(e11) != e21
    | h3(op1(e12,e11)) != h3(e11)
    | h3(op1(e12,e11)) = e21 ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(h3(op1(e12,e11)))),bind(Y,$fot(h3(e11))),bind(Z,$fot(e21))]]) ).

cnf(refute_0_862,plain,
    ( h3(e11) != e21
    | h3(op1(e12,e11)) = e21 ),
    inference(resolve,[$cnf( $equal(h3(op1(e12,e11)),h3(e11)) )],[refute_0_860,refute_0_861]) ).

cnf(refute_0_863,plain,
    h3(op1(e12,e11)) = e21,
    inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_0_10,refute_0_862]) ).

cnf(refute_0_864,plain,
    ( e21 != op2(e22,e21)
    | h3(op1(e12,e11)) != e21
    | h3(op1(e12,e11)) = op2(e22,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e11)),e21) ),[1],$fot(op2(e22,e21))]]) ).

cnf(refute_0_865,plain,
    ( e21 != op2(e22,e21)
    | h3(op1(e12,e11)) = op2(e22,e21) ),
    inference(resolve,[$cnf( $equal(h3(op1(e12,e11)),e21) )],[refute_0_863,refute_0_864]) ).

cnf(refute_0_866,plain,
    ( op2(e22,e21) = e20
    | op2(e22,e21) = e21
    | op2(e22,e21) = e22
    | op2(e22,e21) = e23 ),
    inference(canonicalize,[],[normalize_0_114]) ).

cnf(refute_0_867,plain,
    op2(e22,e21) != op2(e22,e22),
    inference(canonicalize,[],[normalize_0_115]) ).

cnf(refute_0_868,plain,
    ( op2(e22,e21) != e23
    | op2(e22,e22) != e23
    | op2(e22,e21) = op2(e22,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e22,e22)) ),[1],$fot(e23)]]) ).

cnf(refute_0_869,plain,
    ( op2(e22,e21) != e23
    | op2(e22,e21) = op2(e22,e22) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_47,refute_0_868]) ).

cnf(refute_0_870,plain,
    op2(e22,e21) != e23,
    inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e22,e22)) )],[refute_0_869,refute_0_867]) ).

cnf(refute_0_871,plain,
    ( op2(e22,e21) = e20
    | op2(e22,e21) = e21
    | op2(e22,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_0_866,refute_0_870]) ).

cnf(refute_0_872,plain,
    ( op2(e22,e21) = e21
    | op2(e22,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_0_871,refute_0_808]) ).

cnf(refute_0_873,plain,
    op2(e22,e21) != op2(e23,e21),
    inference(canonicalize,[],[normalize_0_116]) ).

cnf(refute_0_874,plain,
    ( op2(e22,e21) != e22
    | op2(e23,e21) != e22
    | op2(e22,e21) = op2(e23,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e21),op2(e23,e21)) ),[1],$fot(e22)]]) ).

cnf(refute_0_875,plain,
    ( op2(e22,e21) != e22
    | op2(e22,e21) = op2(e23,e21) ),
    inference(resolve,[$cnf( $equal(op2(e23,e21),e22) )],[refute_0_623,refute_0_874]) ).

cnf(refute_0_876,plain,
    op2(e22,e21) != e22,
    inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e23,e21)) )],[refute_0_875,refute_0_873]) ).

cnf(refute_0_877,plain,
    op2(e22,e21) = e21,
    inference(resolve,[$cnf( $equal(op2(e22,e21),e22) )],[refute_0_872,refute_0_876]) ).

cnf(refute_0_878,plain,
    ( e21 != e21
    | op2(e22,e21) != e21
    | e21 = op2(e22,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e21)) ),[1],$fot(e21)]]) ).

cnf(refute_0_879,plain,
    ( e21 != e21
    | e21 = op2(e22,e21) ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e21) )],[refute_0_877,refute_0_878]) ).

cnf(refute_0_880,plain,
    ( e21 != e21
    | h3(op1(e12,e11)) = op2(e22,e21) ),
    inference(resolve,[$cnf( $equal(e21,op2(e22,e21)) )],[refute_0_879,refute_0_865]) ).

cnf(refute_0_881,plain,
    ( e21 != e21
    | e22 != e22
    | e23 != e23
    | h3(op1(e10,e10)) != h1(e13)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e13)) != op2(e20,e23)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e13)) != h4(e10)
    | h3(op1(e12,e10)) != op2(e22,e20) ),
    inference(resolve,[$cnf( $equal(h3(op1(e12,e11)),op2(e22,e21)) )],[refute_0_880,refute_0_834]) ).

cnf(refute_0_882,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e10) = e10
    | op1(e12,e10) = e10
    | op1(e13,e10) = e10 ),
    inference(canonicalize,[],[normalize_0_117]) ).

cnf(refute_0_883,plain,
    ( e12 = e10
    | op1(e11,e10) = e10
    | op1(e12,e10) = e10
    | op1(e13,e10) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_0_882,refute_0_443]) ).

cnf(refute_0_884,plain,
    ( op1(e11,e10) = e10
    | op1(e12,e10) = e10
    | op1(e13,e10) = e10 ),
    inference(resolve,[$cnf( $equal(e12,e10) )],[refute_0_883,refute_0_446]) ).

cnf(refute_0_885,plain,
    op1(e11,e10) != op1(e11,e11),
    inference(canonicalize,[],[normalize_0_118]) ).

cnf(refute_0_886,plain,
    ( op1(e11,e10) != e10
    | op1(e11,e11) != e10
    | op1(e11,e10) = op1(e11,e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e11,e11)) ),[1],$fot(e10)]]) ).

cnf(refute_0_887,plain,
    ( op1(e11,e10) != e10
    | op1(e11,e10) = op1(e11,e11) ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_0_432,refute_0_886]) ).

cnf(refute_0_888,plain,
    op1(e11,e10) != e10,
    inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e11)) )],[refute_0_887,refute_0_885]) ).

cnf(refute_0_889,plain,
    ( op1(e12,e10) = e10
    | op1(e13,e10) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_0_884,refute_0_888]) ).

cnf(refute_0_890,plain,
    op1(e13,e10) != op1(e13,e12),
    inference(canonicalize,[],[normalize_0_119]) ).

cnf(refute_0_891,plain,
    ( op1(e13,e10) != e10
    | op1(e13,e12) != e10
    | op1(e13,e10) = op1(e13,e12) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e12)) ),[1],$fot(e10)]]) ).

cnf(refute_0_892,plain,
    ( op1(e13,e10) != e10
    | op1(e13,e10) = op1(e13,e12) ),
    inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_0_104,refute_0_891]) ).

cnf(refute_0_893,plain,
    op1(e13,e10) != e10,
    inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_0_892,refute_0_890]) ).

cnf(refute_0_894,plain,
    op1(e12,e10) = e10,
    inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_0_889,refute_0_893]) ).

cnf(refute_0_895,plain,
    h3(op1(e12,e10)) = h3(op1(e12,e10)),
    introduced(tautology,[refl,[$fot(h3(op1(e12,e10)))]]) ).

cnf(refute_0_896,plain,
    ( h3(op1(e12,e10)) != h3(op1(e12,e10))
    | op1(e12,e10) != e10
    | h3(op1(e12,e10)) = h3(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e10)),h3(op1(e12,e10))) ),[1,0],$fot(e10)]]) ).

cnf(refute_0_897,plain,
    ( op1(e12,e10) != e10
    | h3(op1(e12,e10)) = h3(e10) ),
    inference(resolve,[$cnf( $equal(h3(op1(e12,e10)),h3(op1(e12,e10))) )],[refute_0_895,refute_0_896]) ).

cnf(refute_0_898,plain,
    h3(op1(e12,e10)) = h3(e10),
    inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_0_894,refute_0_897]) ).

cnf(refute_0_899,plain,
    ( h3(e10) != e20
    | h3(op1(e12,e10)) != h3(e10)
    | h3(op1(e12,e10)) = e20 ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(h3(op1(e12,e10)))),bind(Y,$fot(h3(e10))),bind(Z,$fot(e20))]]) ).

cnf(refute_0_900,plain,
    ( h3(e10) != e20
    | h3(op1(e12,e10)) = e20 ),
    inference(resolve,[$cnf( $equal(h3(op1(e12,e10)),h3(e10)) )],[refute_0_898,refute_0_899]) ).

cnf(refute_0_901,plain,
    h3(op1(e12,e10)) = e20,
    inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_0_94,refute_0_900]) ).

cnf(refute_0_902,plain,
    ( e20 != op2(e22,e20)
    | h3(op1(e12,e10)) != e20
    | h3(op1(e12,e10)) = op2(e22,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e10)),e20) ),[1],$fot(op2(e22,e20))]]) ).

cnf(refute_0_903,plain,
    ( e20 != op2(e22,e20)
    | h3(op1(e12,e10)) = op2(e22,e20) ),
    inference(resolve,[$cnf( $equal(h3(op1(e12,e10)),e20) )],[refute_0_901,refute_0_902]) ).

cnf(refute_0_904,plain,
    ( h1(e10) != e20
    | h1(e10) != op2(e22,e20)
    | e20 = op2(e22,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e22,e20)) ),[0],$fot(e20)]]) ).

cnf(refute_0_905,plain,
    ( h1(e10) != op2(e22,e20)
    | e20 = op2(e22,e20) ),
    inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_0_816,refute_0_904]) ).

cnf(refute_0_906,plain,
    e20 = op2(e22,e20),
    inference(resolve,[$cnf( $equal(h1(e10),op2(e22,e20)) )],[refute_0_787,refute_0_905]) ).

cnf(refute_0_907,plain,
    ( e20 != op2(e22,e20)
    | op2(e22,e20) = e20 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e22,e20)))]]) ).

cnf(refute_0_908,plain,
    op2(e22,e20) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e22,e20)) )],[refute_0_906,refute_0_907]) ).

cnf(refute_0_909,plain,
    ( e20 != e20
    | op2(e22,e20) != e20
    | e20 = op2(e22,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e20)) ),[1],$fot(e20)]]) ).

cnf(refute_0_910,plain,
    ( e20 != e20
    | e20 = op2(e22,e20) ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_0_908,refute_0_909]) ).

cnf(refute_0_911,plain,
    ( e20 != e20
    | h3(op1(e12,e10)) = op2(e22,e20) ),
    inference(resolve,[$cnf( $equal(e20,op2(e22,e20)) )],[refute_0_910,refute_0_903]) ).

cnf(refute_0_912,plain,
    ( e20 != e20
    | e21 != e21
    | e22 != e22
    | e23 != e23
    | h3(op1(e10,e10)) != h1(e13)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e13)) != op2(e20,e23)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e13)) != h4(e10) ),
    inference(resolve,[$cnf( $equal(h3(op1(e12,e10)),op2(e22,e20)) )],[refute_0_911,refute_0_881]) ).

cnf(refute_0_913,plain,
    ( op1(e10,e13) = e13
    | op1(e11,e13) = e13
    | op1(e12,e13) = e13
    | op1(e13,e13) = e13 ),
    inference(canonicalize,[],[normalize_0_120]) ).

cnf(refute_0_914,plain,
    ( op1(e10,e13) = e13
    | op1(e11,e13) = e13
    | op1(e13,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_0_913,refute_0_741]) ).

cnf(refute_0_915,plain,
    ( e10 = e13
    | op1(e11,e13) = e13
    | op1(e13,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_0_914,refute_0_459]) ).

cnf(refute_0_916,plain,
    ( e10 = e13
    | e11 = e13
    | op1(e11,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_0_915,refute_0_637]) ).

cnf(refute_0_917,plain,
    ( e11 = e13
    | op1(e11,e13) = e13 ),
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_0_916,refute_0_422]) ).

cnf(refute_0_918,plain,
    op1(e11,e13) = e13,
    inference(resolve,[$cnf( $equal(e11,e13) )],[refute_0_917,refute_0_639]) ).

cnf(refute_0_919,plain,
    h3(op1(e11,e13)) = h3(op1(e11,e13)),
    introduced(tautology,[refl,[$fot(h3(op1(e11,e13)))]]) ).

cnf(refute_0_920,plain,
    ( h3(op1(e11,e13)) != h3(op1(e11,e13))
    | op1(e11,e13) != e13
    | h3(op1(e11,e13)) = h3(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e13)),h3(op1(e11,e13))) ),[1,0],$fot(e13)]]) ).

cnf(refute_0_921,plain,
    ( op1(e11,e13) != e13
    | h3(op1(e11,e13)) = h3(e13) ),
    inference(resolve,[$cnf( $equal(h3(op1(e11,e13)),h3(op1(e11,e13))) )],[refute_0_919,refute_0_920]) ).

cnf(refute_0_922,plain,
    h3(op1(e11,e13)) = h3(e13),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_0_918,refute_0_921]) ).

cnf(refute_0_923,plain,
    ( h3(e13) != e23
    | h3(op1(e11,e13)) != h3(e13)
    | h3(op1(e11,e13)) = e23 ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(h3(op1(e11,e13)))),bind(Y,$fot(h3(e13))),bind(Z,$fot(e23))]]) ).

cnf(refute_0_924,plain,
    ( h3(e13) != e23
    | h3(op1(e11,e13)) = e23 ),
    inference(resolve,[$cnf( $equal(h3(op1(e11,e13)),h3(e13)) )],[refute_0_922,refute_0_923]) ).

cnf(refute_0_925,plain,
    h3(op1(e11,e13)) = e23,
    inference(resolve,[$cnf( $equal(h3(e13),e23) )],[refute_0_372,refute_0_924]) ).

cnf(refute_0_926,plain,
    ( e23 != h4(e10)
    | h3(op1(e11,e13)) != e23
    | h3(op1(e11,e13)) = h4(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e13)),e23) ),[1],$fot(h4(e10))]]) ).

cnf(refute_0_927,plain,
    ( e23 != h4(e10)
    | h3(op1(e11,e13)) = h4(e10) ),
    inference(resolve,[$cnf( $equal(h3(op1(e11,e13)),e23) )],[refute_0_925,refute_0_926]) ).

cnf(refute_0_928,plain,
    ( e23 != e23
    | h4(e10) != e23
    | e23 = h4(e10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e23,h4(e10)) ),[1],$fot(e23)]]) ).

cnf(refute_0_929,plain,
    ( e23 != e23
    | e23 = h4(e10) ),
    inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_0_726,refute_0_928]) ).

cnf(refute_0_930,plain,
    ( e23 != e23
    | h3(op1(e11,e13)) = h4(e10) ),
    inference(resolve,[$cnf( $equal(e23,h4(e10)) )],[refute_0_929,refute_0_927]) ).

cnf(refute_0_931,plain,
    ( e20 != e20
    | e21 != e21
    | e22 != e22
    | e23 != e23
    | h3(op1(e10,e10)) != h1(e13)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e13)) != op2(e20,e23)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e12)) != op2(e21,e22) ),
    inference(resolve,[$cnf( $equal(h3(op1(e11,e13)),h4(e10)) )],[refute_0_930,refute_0_912]) ).

cnf(refute_0_932,plain,
    ( op1(e11,e12) = e10
    | op1(e11,e12) = e11
    | op1(e11,e12) = e12
    | op1(e11,e12) = e13 ),
    inference(canonicalize,[],[normalize_0_121]) ).

cnf(refute_0_933,plain,
    op1(e11,e12) != op1(e12,e12),
    inference(canonicalize,[],[normalize_0_122]) ).

cnf(refute_0_934,plain,
    ( op1(e11,e12) != e13
    | op1(e12,e12) != e13
    | op1(e11,e12) = op1(e12,e12) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).

cnf(refute_0_935,plain,
    ( op1(e11,e12) != e13
    | op1(e11,e12) = op1(e12,e12) ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_14,refute_0_934]) ).

cnf(refute_0_936,plain,
    op1(e11,e12) != e13,
    inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_0_935,refute_0_933]) ).

cnf(refute_0_937,plain,
    ( op1(e11,e12) = e10
    | op1(e11,e12) = e11
    | op1(e11,e12) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_0_932,refute_0_936]) ).

cnf(refute_0_938,plain,
    op1(e11,e12) != op1(e13,e12),
    inference(canonicalize,[],[normalize_0_123]) ).

cnf(refute_0_939,plain,
    ( op1(e11,e12) != e10
    | op1(e13,e12) != e10
    | op1(e11,e12) = op1(e13,e12) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).

cnf(refute_0_940,plain,
    ( op1(e11,e12) != e10
    | op1(e11,e12) = op1(e13,e12) ),
    inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_0_104,refute_0_939]) ).

cnf(refute_0_941,plain,
    op1(e11,e12) != e10,
    inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e12)) )],[refute_0_940,refute_0_938]) ).

cnf(refute_0_942,plain,
    ( op1(e11,e12) = e11
    | op1(e11,e12) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_0_937,refute_0_941]) ).

cnf(refute_0_943,plain,
    op1(e10,e12) != op1(e11,e12),
    inference(canonicalize,[],[normalize_0_124]) ).

cnf(refute_0_944,plain,
    ( op1(e10,e12) = e10
    | op1(e10,e12) = e11
    | op1(e10,e12) = e12
    | op1(e10,e12) = e13 ),
    inference(canonicalize,[],[normalize_0_125]) ).

cnf(refute_0_945,plain,
    ( op1(e10,e12) = e10
    | op1(e10,e12) = e11
    | op1(e10,e12) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_0_944,refute_0_410]) ).

cnf(refute_0_946,plain,
    ( op1(e10,e12) = e11
    | op1(e10,e12) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_0_945,refute_0_456]) ).

cnf(refute_0_947,plain,
    op1(e10,e10) != op1(e10,e12),
    inference(canonicalize,[],[normalize_0_126]) ).

cnf(refute_0_948,plain,
    ( e12 != op1(e10,e12)
    | op1(e10,e10) != e12
    | op1(e10,e10) = op1(e10,e12) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e12) ),[1],$fot(op1(e10,e12))]]) ).

cnf(refute_0_949,plain,
    ( e12 != op1(e10,e12)
    | op1(e10,e10) = op1(e10,e12) ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_0_437,refute_0_948]) ).

cnf(refute_0_950,plain,
    e12 != op1(e10,e12),
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_0_949,refute_0_947]) ).

cnf(refute_0_951,plain,
    ( op1(e10,e12) != e12
    | e12 = op1(e10,e12) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(e12))]]) ).

cnf(refute_0_952,plain,
    op1(e10,e12) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e10,e12)) )],[refute_0_951,refute_0_950]) ).

cnf(refute_0_953,plain,
    op1(e10,e12) = e11,
    inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_0_946,refute_0_952]) ).

cnf(refute_0_954,plain,
    ( e11 != op1(e11,e12)
    | op1(e10,e12) != e11
    | op1(e10,e12) = op1(e11,e12) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(op1(e11,e12))]]) ).

cnf(refute_0_955,plain,
    ( e11 != op1(e11,e12)
    | op1(e10,e12) = op1(e11,e12) ),
    inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_0_953,refute_0_954]) ).

cnf(refute_0_956,plain,
    e11 != op1(e11,e12),
    inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_0_955,refute_0_943]) ).

cnf(refute_0_957,plain,
    ( op1(e11,e12) != e11
    | e11 = op1(e11,e12) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(e11))]]) ).

cnf(refute_0_958,plain,
    op1(e11,e12) != e11,
    inference(resolve,[$cnf( $equal(e11,op1(e11,e12)) )],[refute_0_957,refute_0_956]) ).

cnf(refute_0_959,plain,
    op1(e11,e12) = e12,
    inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_0_942,refute_0_958]) ).

cnf(refute_0_960,plain,
    h3(op1(e11,e12)) = h3(op1(e11,e12)),
    introduced(tautology,[refl,[$fot(h3(op1(e11,e12)))]]) ).

cnf(refute_0_961,plain,
    ( h3(op1(e11,e12)) != h3(op1(e11,e12))
    | op1(e11,e12) != e12
    | h3(op1(e11,e12)) = h3(e12) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e12)),h3(op1(e11,e12))) ),[1,0],$fot(e12)]]) ).

cnf(refute_0_962,plain,
    ( op1(e11,e12) != e12
    | h3(op1(e11,e12)) = h3(e12) ),
    inference(resolve,[$cnf( $equal(h3(op1(e11,e12)),h3(op1(e11,e12))) )],[refute_0_960,refute_0_961]) ).

cnf(refute_0_963,plain,
    h3(op1(e11,e12)) = h3(e12),
    inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_0_959,refute_0_962]) ).

cnf(refute_0_964,plain,
    ( h3(e12) != e22
    | h3(op1(e11,e12)) != h3(e12)
    | h3(op1(e11,e12)) = e22 ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(h3(op1(e11,e12)))),bind(Y,$fot(h3(e12))),bind(Z,$fot(e22))]]) ).

cnf(refute_0_965,plain,
    ( h3(e12) != e22
    | h3(op1(e11,e12)) = e22 ),
    inference(resolve,[$cnf( $equal(h3(op1(e11,e12)),h3(e12)) )],[refute_0_963,refute_0_964]) ).

cnf(refute_0_966,plain,
    h3(op1(e11,e12)) = e22,
    inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_0_123,refute_0_965]) ).

cnf(refute_0_967,plain,
    ( e22 != op2(e21,e22)
    | h3(op1(e11,e12)) != e22
    | h3(op1(e11,e12)) = op2(e21,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e12)),e22) ),[1],$fot(op2(e21,e22))]]) ).

cnf(refute_0_968,plain,
    ( e22 != op2(e21,e22)
    | h3(op1(e11,e12)) = op2(e21,e22) ),
    inference(resolve,[$cnf( $equal(h3(op1(e11,e12)),e22) )],[refute_0_966,refute_0_967]) ).

cnf(refute_0_969,plain,
    ( e22 != e22
    | op2(e21,e22) != e22
    | e22 = op2(e21,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e21,e22)) ),[1],$fot(e22)]]) ).

cnf(refute_0_970,plain,
    ( e22 != e22
    | e22 = op2(e21,e22) ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_0_720,refute_0_969]) ).

cnf(refute_0_971,plain,
    ( e22 != e22
    | h3(op1(e11,e12)) = op2(e21,e22) ),
    inference(resolve,[$cnf( $equal(e22,op2(e21,e22)) )],[refute_0_970,refute_0_968]) ).

cnf(refute_0_972,plain,
    ( e20 != e20
    | e21 != e21
    | e22 != e22
    | e23 != e23
    | h3(op1(e10,e10)) != h1(e13)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e13)) != op2(e20,e23)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e11,e11)) != h2(e13) ),
    inference(resolve,[$cnf( $equal(h3(op1(e11,e12)),op2(e21,e22)) )],[refute_0_971,refute_0_931]) ).

cnf(refute_0_973,plain,
    h3(op1(e11,e11)) = h3(op1(e11,e11)),
    introduced(tautology,[refl,[$fot(h3(op1(e11,e11)))]]) ).

cnf(refute_0_974,plain,
    ( h3(op1(e11,e11)) != h3(op1(e11,e11))
    | op1(e11,e11) != e10
    | h3(op1(e11,e11)) = h3(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e11)),h3(op1(e11,e11))) ),[1,0],$fot(e10)]]) ).

cnf(refute_0_975,plain,
    ( op1(e11,e11) != e10
    | h3(op1(e11,e11)) = h3(e10) ),
    inference(resolve,[$cnf( $equal(h3(op1(e11,e11)),h3(op1(e11,e11))) )],[refute_0_973,refute_0_974]) ).

cnf(refute_0_976,plain,
    h3(op1(e11,e11)) = h3(e10),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_0_432,refute_0_975]) ).

cnf(refute_0_977,plain,
    ( h3(e10) != e20
    | h3(op1(e11,e11)) != h3(e10)
    | h3(op1(e11,e11)) = e20 ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(h3(op1(e11,e11)))),bind(Y,$fot(h3(e10))),bind(Z,$fot(e20))]]) ).

cnf(refute_0_978,plain,
    ( h3(e10) != e20
    | h3(op1(e11,e11)) = e20 ),
    inference(resolve,[$cnf( $equal(h3(op1(e11,e11)),h3(e10)) )],[refute_0_976,refute_0_977]) ).

cnf(refute_0_979,plain,
    h3(op1(e11,e11)) = e20,
    inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_0_94,refute_0_978]) ).

cnf(refute_0_980,plain,
    ( e20 != h2(e13)
    | h3(op1(e11,e11)) != e20
    | h3(op1(e11,e11)) = h2(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e11)),e20) ),[1],$fot(h2(e13))]]) ).

cnf(refute_0_981,plain,
    ( e20 != h2(e13)
    | h3(op1(e11,e11)) = h2(e13) ),
    inference(resolve,[$cnf( $equal(h3(op1(e11,e11)),e20) )],[refute_0_979,refute_0_980]) ).

cnf(refute_0_982,plain,
    ( e20 != e20
    | h2(e13) != e20
    | e20 = h2(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e20,h2(e13)) ),[1],$fot(e20)]]) ).

cnf(refute_0_983,plain,
    ( e20 != e20
    | e20 = h2(e13) ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_0_508,refute_0_982]) ).

cnf(refute_0_984,plain,
    ( e20 != e20
    | h3(op1(e11,e11)) = h2(e13) ),
    inference(resolve,[$cnf( $equal(e20,h2(e13)) )],[refute_0_983,refute_0_981]) ).

cnf(refute_0_985,plain,
    ( e20 != e20
    | e21 != e21
    | e22 != e22
    | e23 != e23
    | h3(op1(e10,e10)) != h1(e13)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e13)) != op2(e20,e23)
    | h3(op1(e11,e10)) != op2(e21,e20) ),
    inference(resolve,[$cnf( $equal(h3(op1(e11,e11)),h2(e13)) )],[refute_0_984,refute_0_972]) ).

cnf(refute_0_986,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e10) = e11
    | op1(e11,e10) = e12
    | op1(e11,e10) = e13 ),
    inference(canonicalize,[],[normalize_0_127]) ).

cnf(refute_0_987,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e10) = e12
    | op1(e11,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_0_986,refute_0_888]) ).

cnf(refute_0_988,plain,
    op1(e10,e10) != op1(e11,e10),
    inference(canonicalize,[],[normalize_0_128]) ).

cnf(refute_0_989,plain,
    ( e12 != op1(e11,e10)
    | op1(e10,e10) != e12
    | op1(e10,e10) = op1(e11,e10) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e12) ),[1],$fot(op1(e11,e10))]]) ).

cnf(refute_0_990,plain,
    ( e12 != op1(e11,e10)
    | op1(e10,e10) = op1(e11,e10) ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_0_437,refute_0_989]) ).

cnf(refute_0_991,plain,
    e12 != op1(e11,e10),
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e11,e10)) )],[refute_0_990,refute_0_988]) ).

cnf(refute_0_992,plain,
    ( op1(e11,e10) != e12
    | e12 = op1(e11,e10) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(op1(e11,e10))),bind(Y,$fot(e12))]]) ).

cnf(refute_0_993,plain,
    op1(e11,e10) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e11,e10)) )],[refute_0_992,refute_0_991]) ).

cnf(refute_0_994,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e11,e10),e12) )],[refute_0_987,refute_0_993]) ).

cnf(refute_0_995,plain,
    op1(e11,e10) != op1(e11,e13),
    inference(canonicalize,[],[normalize_0_129]) ).

cnf(refute_0_996,plain,
    ( op1(e11,e10) != e13
    | op1(e11,e13) != e13
    | op1(e11,e10) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e11,e13)) ),[1],$fot(e13)]]) ).

cnf(refute_0_997,plain,
    ( op1(e11,e10) != e13
    | op1(e11,e10) = op1(e11,e13) ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_0_918,refute_0_996]) ).

cnf(refute_0_998,plain,
    op1(e11,e10) != e13,
    inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e13)) )],[refute_0_997,refute_0_995]) ).

cnf(refute_0_999,plain,
    op1(e11,e10) = e11,
    inference(resolve,[$cnf( $equal(op1(e11,e10),e13) )],[refute_0_994,refute_0_998]) ).

cnf(refute_0_1000,plain,
    h3(op1(e11,e10)) = h3(op1(e11,e10)),
    introduced(tautology,[refl,[$fot(h3(op1(e11,e10)))]]) ).

cnf(refute_0_1001,plain,
    ( h3(op1(e11,e10)) != h3(op1(e11,e10))
    | op1(e11,e10) != e11
    | h3(op1(e11,e10)) = h3(e11) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e10)),h3(op1(e11,e10))) ),[1,0],$fot(e11)]]) ).

cnf(refute_0_1002,plain,
    ( op1(e11,e10) != e11
    | h3(op1(e11,e10)) = h3(e11) ),
    inference(resolve,[$cnf( $equal(h3(op1(e11,e10)),h3(op1(e11,e10))) )],[refute_0_1000,refute_0_1001]) ).

cnf(refute_0_1003,plain,
    h3(op1(e11,e10)) = h3(e11),
    inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_0_999,refute_0_1002]) ).

cnf(refute_0_1004,plain,
    ( h3(e11) != e21
    | h3(op1(e11,e10)) != h3(e11)
    | h3(op1(e11,e10)) = e21 ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(h3(op1(e11,e10)))),bind(Y,$fot(h3(e11))),bind(Z,$fot(e21))]]) ).

cnf(refute_0_1005,plain,
    ( h3(e11) != e21
    | h3(op1(e11,e10)) = e21 ),
    inference(resolve,[$cnf( $equal(h3(op1(e11,e10)),h3(e11)) )],[refute_0_1003,refute_0_1004]) ).

cnf(refute_0_1006,plain,
    h3(op1(e11,e10)) = e21,
    inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_0_10,refute_0_1005]) ).

cnf(refute_0_1007,plain,
    ( e21 != op2(e21,e20)
    | h3(op1(e11,e10)) != e21
    | h3(op1(e11,e10)) = op2(e21,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e10)),e21) ),[1],$fot(op2(e21,e20))]]) ).

cnf(refute_0_1008,plain,
    ( e21 != op2(e21,e20)
    | h3(op1(e11,e10)) = op2(e21,e20) ),
    inference(resolve,[$cnf( $equal(h3(op1(e11,e10)),e21) )],[refute_0_1006,refute_0_1007]) ).

cnf(refute_0_1009,plain,
    ( op2(e20,e20) = e21
    | op2(e21,e20) = e21
    | op2(e22,e20) = e21
    | op2(e23,e20) = e21 ),
    inference(canonicalize,[],[normalize_0_130]) ).

cnf(refute_0_1010,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e13))]]) ).

cnf(refute_0_1011,plain,
    ( op2(e20,e20) != e21
    | h1(e13) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_351,refute_0_1010]) ).

cnf(refute_0_1012,plain,
    ( h1(e13) = e21
    | op2(e21,e20) = e21
    | op2(e22,e20) = e21
    | op2(e23,e20) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_0_1009,refute_0_1011]) ).

cnf(refute_0_1013,plain,
    ( h1(e13) != e21
    | h1(e13) != e22
    | e22 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e13),e21) ),[0],$fot(e22)]]) ).

cnf(refute_0_1014,plain,
    ( h1(e13) != e21
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_0_562,refute_0_1013]) ).

cnf(refute_0_1015,plain,
    ( e22 = e21
    | op2(e21,e20) = e21
    | op2(e22,e20) = e21
    | op2(e23,e20) = e21 ),
    inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_0_1012,refute_0_1014]) ).

cnf(refute_0_1016,plain,
    ( op2(e22,e20) != e20
    | op2(e22,e20) != e21
    | e20 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e21) ),[0],$fot(e20)]]) ).

cnf(refute_0_1017,plain,
    ( op2(e22,e20) != e21
    | e20 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_0_908,refute_0_1016]) ).

cnf(refute_0_1018,plain,
    ( e20 = e21
    | e22 = e21
    | op2(e21,e20) = e21
    | op2(e23,e20) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_0_1015,refute_0_1017]) ).

cnf(refute_0_1019,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_0_1020,plain,
    ( op2(e23,e20) != e21
    | e23 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_0_730,refute_0_1019]) ).

cnf(refute_0_1021,plain,
    ( e20 = e21
    | e22 = e21
    | e23 = e21
    | op2(e21,e20) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_0_1018,refute_0_1020]) ).

cnf(refute_0_1022,plain,
    ( e22 = e21
    | e23 = e21
    | op2(e21,e20) = e21 ),
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_0_1021,refute_0_505]) ).

cnf(refute_0_1023,plain,
    ( e22 != e21
    | e21 = e22 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).

cnf(refute_0_1024,plain,
    e22 != e21,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_0_1023,refute_0_719]) ).

cnf(refute_0_1025,plain,
    ( e23 = e21
    | op2(e21,e20) = e21 ),
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_0_1022,refute_0_1024]) ).

cnf(refute_0_1026,plain,
    e21 != e23,
    inference(canonicalize,[],[normalize_0_131]) ).

cnf(refute_0_1027,plain,
    ( e23 != e21
    | e21 = e23 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).

cnf(refute_0_1028,plain,
    e23 != e21,
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_0_1027,refute_0_1026]) ).

cnf(refute_0_1029,plain,
    op2(e21,e20) = e21,
    inference(resolve,[$cnf( $equal(e23,e21) )],[refute_0_1025,refute_0_1028]) ).

cnf(refute_0_1030,plain,
    ( e21 != e21
    | op2(e21,e20) != e21
    | e21 = op2(e21,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e21,e20)) ),[1],$fot(e21)]]) ).

cnf(refute_0_1031,plain,
    ( e21 != e21
    | e21 = op2(e21,e20) ),
    inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_0_1029,refute_0_1030]) ).

cnf(refute_0_1032,plain,
    ( e21 != e21
    | h3(op1(e11,e10)) = op2(e21,e20) ),
    inference(resolve,[$cnf( $equal(e21,op2(e21,e20)) )],[refute_0_1031,refute_0_1008]) ).

cnf(refute_0_1033,plain,
    ( e20 != e20
    | e21 != e21
    | e22 != e22
    | e23 != e23
    | h3(op1(e10,e10)) != h1(e13)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e13)) != op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(h3(op1(e11,e10)),op2(e21,e20)) )],[refute_0_1032,refute_0_985]) ).

cnf(refute_0_1034,plain,
    h3(op1(e10,e13)) = h3(op1(e10,e13)),
    introduced(tautology,[refl,[$fot(h3(op1(e10,e13)))]]) ).

cnf(refute_0_1035,plain,
    ( h3(op1(e10,e13)) != h3(op1(e10,e13))
    | op1(e10,e13) != e10
    | h3(op1(e10,e13)) = h3(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e13)),h3(op1(e10,e13))) ),[1,0],$fot(e10)]]) ).

cnf(refute_0_1036,plain,
    ( op1(e10,e13) != e10
    | h3(op1(e10,e13)) = h3(e10) ),
    inference(resolve,[$cnf( $equal(h3(op1(e10,e13)),h3(op1(e10,e13))) )],[refute_0_1034,refute_0_1035]) ).

cnf(refute_0_1037,plain,
    h3(op1(e10,e13)) = h3(e10),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_0_457,refute_0_1036]) ).

cnf(refute_0_1038,plain,
    ( h3(e10) != e20
    | h3(op1(e10,e13)) != h3(e10)
    | h3(op1(e10,e13)) = e20 ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(h3(op1(e10,e13)))),bind(Y,$fot(h3(e10))),bind(Z,$fot(e20))]]) ).

cnf(refute_0_1039,plain,
    ( h3(e10) != e20
    | h3(op1(e10,e13)) = e20 ),
    inference(resolve,[$cnf( $equal(h3(op1(e10,e13)),h3(e10)) )],[refute_0_1037,refute_0_1038]) ).

cnf(refute_0_1040,plain,
    h3(op1(e10,e13)) = e20,
    inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_0_94,refute_0_1039]) ).

cnf(refute_0_1041,plain,
    ( e20 != op2(e20,e23)
    | h3(op1(e10,e13)) != e20
    | h3(op1(e10,e13)) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e13)),e20) ),[1],$fot(op2(e20,e23))]]) ).

cnf(refute_0_1042,plain,
    ( e20 != op2(e20,e23)
    | h3(op1(e10,e13)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(h3(op1(e10,e13)),e20) )],[refute_0_1040,refute_0_1041]) ).

cnf(refute_0_1043,plain,
    ( e20 != e20
    | op2(e20,e23) != e20
    | e20 = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e20,e23)) ),[1],$fot(e20)]]) ).

cnf(refute_0_1044,plain,
    ( e20 != e20
    | e20 = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_0_613,refute_0_1043]) ).

cnf(refute_0_1045,plain,
    ( e20 != e20
    | h3(op1(e10,e13)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(e20,op2(e20,e23)) )],[refute_0_1044,refute_0_1042]) ).

cnf(refute_0_1046,plain,
    ( e20 != e20
    | e21 != e21
    | e22 != e22
    | e23 != e23
    | h3(op1(e10,e10)) != h1(e13)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e12)) != op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(h3(op1(e10,e13)),op2(e20,e23)) )],[refute_0_1045,refute_0_1033]) ).

cnf(refute_0_1047,plain,
    h3(op1(e10,e12)) = h3(op1(e10,e12)),
    introduced(tautology,[refl,[$fot(h3(op1(e10,e12)))]]) ).

cnf(refute_0_1048,plain,
    ( h3(op1(e10,e12)) != h3(op1(e10,e12))
    | op1(e10,e12) != e11
    | h3(op1(e10,e12)) = h3(e11) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e12)),h3(op1(e10,e12))) ),[1,0],$fot(e11)]]) ).

cnf(refute_0_1049,plain,
    ( op1(e10,e12) != e11
    | h3(op1(e10,e12)) = h3(e11) ),
    inference(resolve,[$cnf( $equal(h3(op1(e10,e12)),h3(op1(e10,e12))) )],[refute_0_1047,refute_0_1048]) ).

cnf(refute_0_1050,plain,
    h3(op1(e10,e12)) = h3(e11),
    inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_0_953,refute_0_1049]) ).

cnf(refute_0_1051,plain,
    ( h3(e11) != e21
    | h3(op1(e10,e12)) != h3(e11)
    | h3(op1(e10,e12)) = e21 ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(h3(op1(e10,e12)))),bind(Y,$fot(h3(e11))),bind(Z,$fot(e21))]]) ).

cnf(refute_0_1052,plain,
    ( h3(e11) != e21
    | h3(op1(e10,e12)) = e21 ),
    inference(resolve,[$cnf( $equal(h3(op1(e10,e12)),h3(e11)) )],[refute_0_1050,refute_0_1051]) ).

cnf(refute_0_1053,plain,
    h3(op1(e10,e12)) = e21,
    inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_0_10,refute_0_1052]) ).

cnf(refute_0_1054,plain,
    ( e21 != op2(e20,e22)
    | h3(op1(e10,e12)) != e21
    | h3(op1(e10,e12)) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e12)),e21) ),[1],$fot(op2(e20,e22))]]) ).

cnf(refute_0_1055,plain,
    ( e21 != op2(e20,e22)
    | h3(op1(e10,e12)) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(h3(op1(e10,e12)),e21) )],[refute_0_1053,refute_0_1054]) ).

cnf(refute_0_1056,plain,
    ( e21 != e21
    | op2(e20,e22) != e21
    | e21 = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e22)) ),[1],$fot(e21)]]) ).

cnf(refute_0_1057,plain,
    ( e21 != e21
    | e21 = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_0_595,refute_0_1056]) ).

cnf(refute_0_1058,plain,
    ( e21 != e21
    | h3(op1(e10,e12)) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(e21,op2(e20,e22)) )],[refute_0_1057,refute_0_1055]) ).

cnf(refute_0_1059,plain,
    ( e20 != e20
    | e21 != e21
    | e22 != e22
    | e23 != e23
    | h3(op1(e10,e10)) != h1(e13)
    | h3(op1(e10,e11)) != op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(h3(op1(e10,e12)),op2(e20,e22)) )],[refute_0_1058,refute_0_1046]) ).

cnf(refute_0_1060,plain,
    h3(op1(e10,e11)) = h3(op1(e10,e11)),
    introduced(tautology,[refl,[$fot(h3(op1(e10,e11)))]]) ).

cnf(refute_0_1061,plain,
    ( h3(op1(e10,e11)) != h3(op1(e10,e11))
    | op1(e10,e11) != e13
    | h3(op1(e10,e11)) = h3(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e11)),h3(op1(e10,e11))) ),[1,0],$fot(e13)]]) ).

cnf(refute_0_1062,plain,
    ( op1(e10,e11) != e13
    | h3(op1(e10,e11)) = h3(e13) ),
    inference(resolve,[$cnf( $equal(h3(op1(e10,e11)),h3(op1(e10,e11))) )],[refute_0_1060,refute_0_1061]) ).

cnf(refute_0_1063,plain,
    h3(op1(e10,e11)) = h3(e13),
    inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_0_463,refute_0_1062]) ).

cnf(refute_0_1064,plain,
    ( h3(e13) != e23
    | h3(op1(e10,e11)) != h3(e13)
    | h3(op1(e10,e11)) = e23 ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(h3(op1(e10,e11)))),bind(Y,$fot(h3(e13))),bind(Z,$fot(e23))]]) ).

cnf(refute_0_1065,plain,
    ( h3(e13) != e23
    | h3(op1(e10,e11)) = e23 ),
    inference(resolve,[$cnf( $equal(h3(op1(e10,e11)),h3(e13)) )],[refute_0_1063,refute_0_1064]) ).

cnf(refute_0_1066,plain,
    h3(op1(e10,e11)) = e23,
    inference(resolve,[$cnf( $equal(h3(e13),e23) )],[refute_0_372,refute_0_1065]) ).

cnf(refute_0_1067,plain,
    ( e23 != op2(e20,e21)
    | h3(op1(e10,e11)) != e23
    | h3(op1(e10,e11)) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e11)),e23) ),[1],$fot(op2(e20,e21))]]) ).

cnf(refute_0_1068,plain,
    ( e23 != op2(e20,e21)
    | h3(op1(e10,e11)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(h3(op1(e10,e11)),e23) )],[refute_0_1066,refute_0_1067]) ).

cnf(refute_0_1069,plain,
    ( h2(e10) != e23
    | h2(e10) != op2(e20,e21)
    | e23 = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(e20,e21)) ),[0],$fot(e23)]]) ).

cnf(refute_0_1070,plain,
    ( h2(e10) != op2(e20,e21)
    | e23 = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(h2(e10),e23) )],[refute_0_619,refute_0_1069]) ).

cnf(refute_0_1071,plain,
    e23 = op2(e20,e21),
    inference(resolve,[$cnf( $equal(h2(e10),op2(e20,e21)) )],[refute_0_515,refute_0_1070]) ).

cnf(refute_0_1072,plain,
    ( e23 != op2(e20,e21)
    | op2(e20,e21) = e23 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_0_1073,plain,
    op2(e20,e21) = e23,
    inference(resolve,[$cnf( $equal(e23,op2(e20,e21)) )],[refute_0_1071,refute_0_1072]) ).

cnf(refute_0_1074,plain,
    ( e23 != e23
    | op2(e20,e21) != e23
    | e23 = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e20,e21)) ),[1],$fot(e23)]]) ).

cnf(refute_0_1075,plain,
    ( e23 != e23
    | e23 = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_0_1073,refute_0_1074]) ).

cnf(refute_0_1076,plain,
    ( e23 != e23
    | h3(op1(e10,e11)) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(e23,op2(e20,e21)) )],[refute_0_1075,refute_0_1068]) ).

cnf(refute_0_1077,plain,
    ( e20 != e20
    | e21 != e21
    | e22 != e22
    | e23 != e23
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(resolve,[$cnf( $equal(h3(op1(e10,e11)),op2(e20,e21)) )],[refute_0_1076,refute_0_1059]) ).

cnf(refute_0_1078,plain,
    h3(op1(e10,e10)) = h3(op1(e10,e10)),
    introduced(tautology,[refl,[$fot(h3(op1(e10,e10)))]]) ).

cnf(refute_0_1079,plain,
    ( h3(op1(e10,e10)) != h3(op1(e10,e10))
    | op1(e10,e10) != e12
    | h3(op1(e10,e10)) = h3(e12) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e10)),h3(op1(e10,e10))) ),[1,0],$fot(e12)]]) ).

cnf(refute_0_1080,plain,
    ( op1(e10,e10) != e12
    | h3(op1(e10,e10)) = h3(e12) ),
    inference(resolve,[$cnf( $equal(h3(op1(e10,e10)),h3(op1(e10,e10))) )],[refute_0_1078,refute_0_1079]) ).

cnf(refute_0_1081,plain,
    h3(op1(e10,e10)) = h3(e12),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_0_437,refute_0_1080]) ).

cnf(refute_0_1082,plain,
    ( h3(e12) != e22
    | h3(op1(e10,e10)) != h3(e12)
    | h3(op1(e10,e10)) = e22 ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(h3(op1(e10,e10)))),bind(Y,$fot(h3(e12))),bind(Z,$fot(e22))]]) ).

cnf(refute_0_1083,plain,
    ( h3(e12) != e22
    | h3(op1(e10,e10)) = e22 ),
    inference(resolve,[$cnf( $equal(h3(op1(e10,e10)),h3(e12)) )],[refute_0_1081,refute_0_1082]) ).

cnf(refute_0_1084,plain,
    h3(op1(e10,e10)) = e22,
    inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_0_123,refute_0_1083]) ).

cnf(refute_0_1085,plain,
    ( e22 != h1(e13)
    | h3(op1(e10,e10)) != e22
    | h3(op1(e10,e10)) = h1(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e10)),e22) ),[1],$fot(h1(e13))]]) ).

cnf(refute_0_1086,plain,
    ( e22 != h1(e13)
    | h3(op1(e10,e10)) = h1(e13) ),
    inference(resolve,[$cnf( $equal(h3(op1(e10,e10)),e22) )],[refute_0_1084,refute_0_1085]) ).

cnf(refute_0_1087,plain,
    ( e22 != e22
    | h1(e13) != e22
    | e22 = h1(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e22,h1(e13)) ),[1],$fot(e22)]]) ).

cnf(refute_0_1088,plain,
    ( e22 != e22
    | e22 = h1(e13) ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_0_562,refute_0_1087]) ).

cnf(refute_0_1089,plain,
    ( e22 != e22
    | h3(op1(e10,e10)) = h1(e13) ),
    inference(resolve,[$cnf( $equal(e22,h1(e13)) )],[refute_0_1088,refute_0_1086]) ).

cnf(refute_0_1090,plain,
    ( e20 != e20
    | e21 != e21
    | e22 != e22
    | e23 != e23 ),
    inference(resolve,[$cnf( $equal(h3(op1(e10,e10)),h1(e13)) )],[refute_0_1089,refute_0_1077]) ).

cnf(refute_0_1091,plain,
    ( e21 != e21
    | e22 != e22
    | e23 != e23 ),
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_0_376,refute_0_1090]) ).

cnf(refute_0_1092,plain,
    ( e22 != e22
    | e23 != e23 ),
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_378,refute_0_1091]) ).

cnf(refute_0_1093,plain,
    e22 = e22,
    introduced(tautology,[refl,[$fot(e22)]]) ).

cnf(refute_0_1094,plain,
    e23 != e23,
    inference(resolve,[$cnf( $equal(e22,e22) )],[refute_0_1093,refute_0_1092]) ).

cnf(refute_0_1095,plain,
    $false,
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_0_380,refute_0_1094]) ).

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,
    ( ( 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_1_1,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(conjunct,[],[normalize_1_0]) ).

fof(normalize_1_2,plain,
    ( h1(e10) = op2(op2(e20,e20),e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = e20
    & h1(e13) = op2(e20,e20) ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_1_3,plain,
    h1(e13) = op2(e20,e20),
    inference(conjunct,[],[normalize_1_2]) ).

fof(normalize_1_4,plain,
    ( ( ( op2(e20,e20) != e21
        & op2(e21,e21) = e20 )
      | ( op2(e20,e20) != e22
        & op2(e22,e22) = e20 )
      | ( op2(e20,e20) != e23
        & op2(e23,e23) = e20 ) )
    & ( ( op2(e21,e21) != e20
        & op2(e20,e20) = e21 )
      | ( op2(e21,e21) != e22
        & op2(e22,e22) = e21 )
      | ( op2(e21,e21) != e23
        & op2(e23,e23) = e21 ) )
    & ( ( op2(e22,e22) != e20
        & op2(e20,e20) = e22 )
      | ( op2(e22,e22) != e21
        & op2(e21,e21) = e22 )
      | ( op2(e22,e22) != e23
        & op2(e23,e23) = e22 ) )
    & ( ( op2(e23,e23) != e20
        & op2(e20,e20) = e23 )
      | ( op2(e23,e23) != e21
        & op2(e21,e21) = e23 )
      | ( op2(e23,e23) != e22
        & op2(e22,e22) = e23 ) ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_1_5,plain,
    ( ( op2(e22,e22) != e20
      & op2(e20,e20) = e22 )
    | ( op2(e22,e22) != e21
      & op2(e21,e21) = e22 )
    | ( op2(e22,e22) != e23
      & op2(e23,e23) = e22 ) ),
    inference(conjunct,[],[normalize_1_4]) ).

fof(normalize_1_6,plain,
    ( ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e23
      | op2(e21,e21) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e22) != e23
      | op2(e20,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e20,e20) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e20,e20) = e22
      | op2(e21,e21) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 ) ),
    inference(clausify,[],[normalize_1_5]) ).

fof(normalize_1_7,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(conjunct,[],[normalize_1_6]) ).

fof(normalize_1_8,plain,
    ( e20 = op2(op2(e22,e22),e22)
    & e21 = op2(op2(e22,e22),op2(e22,e22))
    & e23 = op2(e22,e22) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_1_9,plain,
    e23 = op2(e22,e22),
    inference(conjunct,[],[normalize_1_8]) ).

fof(normalize_1_10,plain,
    ( h2(e10) = op2(op2(e21,e21),e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = e21
    & h2(e13) = op2(e21,e21) ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_1_11,plain,
    h2(e13) = op2(e21,e21),
    inference(conjunct,[],[normalize_1_10]) ).

fof(normalize_1_12,plain,
    ( ( op2(e20,e20) != e21
      & op2(e21,e21) = e20 )
    | ( op2(e20,e20) != e22
      & op2(e22,e22) = e20 )
    | ( op2(e20,e20) != e23
      & op2(e23,e23) = e20 ) ),
    inference(conjunct,[],[normalize_1_4]) ).

fof(normalize_1_13,plain,
    ( ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e20,e20) != e23 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e23
      | op2(e22,e22) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e20) != e23
      | op2(e21,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e21) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e21) = e20
      | op2(e22,e22) = e20 )
    & ( op2(e21,e21) = e20
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 ) ),
    inference(clausify,[],[normalize_1_12]) ).

fof(normalize_1_14,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(conjunct,[],[normalize_1_13]) ).

fof(normalize_1_15,plain,
    ( h4(e10) = op2(op2(e23,e23),e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = e23
    & h4(e13) = op2(e23,e23) ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_1_16,plain,
    h4(e13) = op2(e23,e23),
    inference(conjunct,[],[normalize_1_15]) ).

fof(normalize_1_17,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_1_18,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_1_17]) ).

fof(normalize_1_19,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(conjunct,[],[normalize_1_8]) ).

fof(normalize_1_20,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_1_17]) ).

fof(normalize_1_21,plain,
    e20 != e22,
    inference(conjunct,[],[normalize_1_17]) ).

fof(normalize_1_22,plain,
    h2(e10) = op2(op2(e21,e21),e21),
    inference(conjunct,[],[normalize_1_10]) ).

fof(normalize_1_23,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_1_24,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e22) = e21
    | op2(e20,e22) = e22
    | op2(e20,e22) = e23 ),
    inference(conjunct,[],[normalize_1_23]) ).

fof(normalize_1_25,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_1_26,plain,
    op2(e20,e22) != op2(e22,e22),
    inference(conjunct,[],[normalize_1_25]) ).

fof(normalize_1_27,plain,
    op2(e20,e22) != op2(e23,e22),
    inference(conjunct,[],[normalize_1_25]) ).

fof(normalize_1_28,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(conjunct,[],[normalize_1_8]) ).

fof(normalize_1_29,plain,
    op2(e20,e20) != op2(e20,e22),
    inference(conjunct,[],[normalize_1_25]) ).

fof(normalize_1_30,plain,
    op2(e20,e21) != op2(e21,e21),
    inference(conjunct,[],[normalize_1_25]) ).

fof(normalize_1_31,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_32,plain,
    h1(e12) = e20,
    inference(conjunct,[],[normalize_1_2]) ).

fof(normalize_1_33,plain,
    h2(e12) = e21,
    inference(conjunct,[],[normalize_1_10]) ).

fof(normalize_1_34,plain,
    ( h3(e10) = op2(op2(e22,e22),e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = e22
    & h3(e13) = op2(e22,e22) ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_1_35,plain,
    h3(e12) = e22,
    inference(conjunct,[],[normalize_1_34]) ).

fof(normalize_1_36,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_31,normalize_1_32,normalize_1_33,normalize_1_35]) ).

fof(normalize_1_37,plain,
    h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
    inference(conjunct,[],[normalize_1_36]) ).

fof(normalize_1_38,plain,
    h4(e12) = e23,
    inference(conjunct,[],[normalize_1_15]) ).

fof(normalize_1_39,plain,
    ( ( ( op1(e10,e10) != e11
        & op1(e11,e11) = e10 )
      | ( op1(e10,e10) != e12
        & op1(e12,e12) = e10 )
      | ( op1(e10,e10) != e13
        & op1(e13,e13) = e10 ) )
    & ( ( op1(e11,e11) != e10
        & op1(e10,e10) = e11 )
      | ( op1(e11,e11) != e12
        & op1(e12,e12) = e11 )
      | ( op1(e11,e11) != e13
        & op1(e13,e13) = e11 ) )
    & ( ( op1(e12,e12) != e10
        & op1(e10,e10) = e12 )
      | ( op1(e12,e12) != e11
        & op1(e11,e11) = e12 )
      | ( op1(e12,e12) != e13
        & op1(e13,e13) = e12 ) )
    & ( ( op1(e13,e13) != e10
        & op1(e10,e10) = e13 )
      | ( op1(e13,e13) != e11
        & op1(e11,e11) = e13 )
      | ( op1(e13,e13) != e12
        & op1(e12,e12) = e13 ) ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_1_40,plain,
    ( ( op1(e12,e12) != e10
      & op1(e10,e10) = e12 )
    | ( op1(e12,e12) != e11
      & op1(e11,e11) = e12 )
    | ( op1(e12,e12) != e13
      & op1(e13,e13) = e12 ) ),
    inference(conjunct,[],[normalize_1_39]) ).

fof(normalize_1_41,plain,
    ( ( op1(e12,e12) != e10
      | op1(e12,e12) != e11
      | op1(e12,e12) != e13 )
    & ( op1(e12,e12) != e10
      | op1(e12,e12) != e11
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e10
      | op1(e12,e12) != e13
      | op1(e11,e11) = e12 )
    & ( op1(e12,e12) != e10
      | op1(e11,e11) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e12) != e13
      | op1(e10,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e10,e10) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e10,e10) = e12
      | op1(e11,e11) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e11) = e12
      | op1(e13,e13) = e12 ) ),
    inference(clausify,[],[normalize_1_40]) ).

fof(normalize_1_42,plain,
    ( op1(e12,e12) != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(conjunct,[],[normalize_1_41]) ).

fof(normalize_1_43,plain,
    ( e10 = op1(op1(e12,e12),e12)
    & e11 = op1(op1(e12,e12),op1(e12,e12))
    & e13 = op1(e12,e12) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_1_44,plain,
    e13 = op1(e12,e12),
    inference(conjunct,[],[normalize_1_43]) ).

fof(normalize_1_45,plain,
    ( ( op1(e10,e10) != e11
      & op1(e11,e11) = e10 )
    | ( op1(e10,e10) != e12
      & op1(e12,e12) = e10 )
    | ( op1(e10,e10) != e13
      & op1(e13,e13) = e10 ) ),
    inference(conjunct,[],[normalize_1_39]) ).

fof(normalize_1_46,plain,
    ( ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e10,e10) != e13 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e13
      | op1(e12,e12) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e10) != e13
      | op1(e11,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e11) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e11) = e10
      | op1(e12,e12) = e10 )
    & ( op1(e11,e11) = e10
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 ) ),
    inference(clausify,[],[normalize_1_45]) ).

fof(normalize_1_47,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(conjunct,[],[normalize_1_46]) ).

fof(normalize_1_48,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_1_49,plain,
    e10 != e13,
    inference(conjunct,[],[normalize_1_48]) ).

fof(normalize_1_50,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(conjunct,[],[normalize_1_43]) ).

fof(normalize_1_51,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_1_48]) ).

fof(normalize_1_52,plain,
    e10 != e12,
    inference(conjunct,[],[normalize_1_48]) ).

fof(normalize_1_53,plain,
    ( op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23
    | op2(e23,e23) = e23 ),
    inference(conjunct,[],[normalize_1_0]) ).

fof(normalize_1_54,plain,
    op2(e22,e22) != op2(e22,e23),
    inference(conjunct,[],[normalize_1_25]) ).

fof(normalize_1_55,plain,
    h4(e10) = op2(op2(e23,e23),e23),
    inference(conjunct,[],[normalize_1_15]) ).

fof(normalize_1_56,plain,
    e21 != e23,
    inference(conjunct,[],[normalize_1_17]) ).

fof(normalize_1_57,plain,
    ( op2(e20,e20) = e23
    | op2(e20,e21) = e23
    | op2(e20,e22) = e23
    | op2(e20,e23) = e23 ),
    inference(conjunct,[],[normalize_1_0]) ).

fof(normalize_1_58,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_1_17]) ).

cnf(refute_1_0,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(canonicalize,[],[normalize_1_1]) ).

cnf(refute_1_1,plain,
    h1(e13) = op2(e20,e20),
    inference(canonicalize,[],[normalize_1_3]) ).

cnf(refute_1_2,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_1_3,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_1_4,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_1_2,refute_1_3]) ).

cnf(refute_1_5,plain,
    ( h1(e13) != op2(e20,e20)
    | op2(e20,e20) = h1(e13) ),
    inference(subst,[],[refute_1_4:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_1_6,plain,
    op2(e20,e20) = h1(e13),
    inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_1_1,refute_1_5]) ).

cnf(refute_1_7,plain,
    ( op2(e20,e20) != e20
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).

cnf(refute_1_8,plain,
    ( op2(e20,e20) != e20
    | h1(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_6,refute_1_7]) ).

cnf(refute_1_9,plain,
    ( h1(e13) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_1_0,refute_1_8]) ).

cnf(refute_1_10,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(canonicalize,[],[normalize_1_7]) ).

cnf(refute_1_11,plain,
    e23 = op2(e22,e22),
    inference(canonicalize,[],[normalize_1_9]) ).

cnf(refute_1_12,plain,
    ( e23 != op2(e22,e22)
    | op2(e22,e22) = e23 ),
    inference(subst,[],[refute_1_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_1_13,plain,
    op2(e22,e22) = e23,
    inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_1_11,refute_1_12]) ).

cnf(refute_1_14,plain,
    ( e23 != e23
    | op2(e22,e22) != e23
    | op2(e22,e22) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(e23)]]) ).

cnf(refute_1_15,plain,
    ( e23 != e23
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_13,refute_1_14]) ).

cnf(refute_1_16,plain,
    ( e23 != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_15,refute_1_10]) ).

cnf(refute_1_17,plain,
    ( op2(e20,e20) != e22
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).

cnf(refute_1_18,plain,
    ( op2(e20,e20) != e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_6,refute_1_17]) ).

cnf(refute_1_19,plain,
    ( e23 != e23
    | h1(e13) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_1_16,refute_1_18]) ).

cnf(refute_1_20,plain,
    h2(e13) = op2(e21,e21),
    inference(canonicalize,[],[normalize_1_11]) ).

cnf(refute_1_21,plain,
    ( h2(e13) != op2(e21,e21)
    | op2(e21,e21) = h2(e13) ),
    inference(subst,[],[refute_1_4:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_1_22,plain,
    op2(e21,e21) = h2(e13),
    inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_1_20,refute_1_21]) ).

cnf(refute_1_23,plain,
    ( op2(e21,e21) != e22
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).

cnf(refute_1_24,plain,
    ( op2(e21,e21) != e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_22,refute_1_23]) ).

cnf(refute_1_25,plain,
    ( e23 != e23
    | h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_1_19,refute_1_24]) ).

cnf(refute_1_26,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_1_27,plain,
    ( h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_1_26,refute_1_25]) ).

cnf(refute_1_28,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(canonicalize,[],[normalize_1_14]) ).

cnf(refute_1_29,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).

cnf(refute_1_30,plain,
    ( op2(e21,e21) != e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_22,refute_1_29]) ).

cnf(refute_1_31,plain,
    ( h2(e13) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_1_28,refute_1_30]) ).

cnf(refute_1_32,plain,
    ( op2(e22,e22) != e20
    | op2(e22,e22) != e23
    | e23 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).

cnf(refute_1_33,plain,
    ( op2(e22,e22) != e20
    | e23 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_13,refute_1_32]) ).

cnf(refute_1_34,plain,
    ( e23 = e20
    | h2(e13) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_1_31,refute_1_33]) ).

cnf(refute_1_35,plain,
    h4(e13) = op2(e23,e23),
    inference(canonicalize,[],[normalize_1_16]) ).

cnf(refute_1_36,plain,
    ( h4(e13) != op2(e23,e23)
    | op2(e23,e23) = h4(e13) ),
    inference(subst,[],[refute_1_4:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_1_37,plain,
    op2(e23,e23) = h4(e13),
    inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_1_35,refute_1_36]) ).

cnf(refute_1_38,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e23) != h4(e13)
    | h4(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(h4(e13))]]) ).

cnf(refute_1_39,plain,
    ( op2(e23,e23) != e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_1_37,refute_1_38]) ).

cnf(refute_1_40,plain,
    ( e23 = e20
    | h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_1_34,refute_1_39]) ).

cnf(refute_1_41,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_1_18]) ).

cnf(refute_1_42,plain,
    ( e23 != e20
    | e20 = e23 ),
    inference(subst,[],[refute_1_4:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).

cnf(refute_1_43,plain,
    e23 != e20,
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_1_42,refute_1_41]) ).

cnf(refute_1_44,plain,
    ( h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(e23,e20) )],[refute_1_40,refute_1_43]) ).

cnf(refute_1_45,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(canonicalize,[],[normalize_1_19]) ).

cnf(refute_1_46,plain,
    op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).

cnf(refute_1_47,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).

cnf(refute_1_48,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_1_46,refute_1_47]) ).

cnf(refute_1_49,plain,
    op2(e23,op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_13,refute_1_48]) ).

cnf(refute_1_50,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_1_51,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).

cnf(refute_1_52,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_1_50,refute_1_51]) ).

cnf(refute_1_53,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_13,refute_1_52]) ).

cnf(refute_1_54,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_1_55,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_1_4,refute_1_54]) ).

cnf(refute_1_56,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(subst,[],[refute_1_55:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).

cnf(refute_1_57,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_1_53,refute_1_56]) ).

cnf(refute_1_58,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_1_49,refute_1_57]) ).

cnf(refute_1_59,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(subst,[],[refute_1_55:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).

cnf(refute_1_60,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_1_58,refute_1_59]) ).

cnf(refute_1_61,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_1_37,refute_1_60]) ).

cnf(refute_1_62,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
    | e21 = h4(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_1_63,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | e21 = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_1_61,refute_1_62]) ).

cnf(refute_1_64,plain,
    e21 = h4(e13),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_1_45,refute_1_63]) ).

cnf(refute_1_65,plain,
    ( e21 != h4(e13)
    | h4(e13) = e21 ),
    inference(subst,[],[refute_1_4:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).

cnf(refute_1_66,plain,
    h4(e13) = e21,
    inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_1_64,refute_1_65]) ).

cnf(refute_1_67,plain,
    ( h4(e13) != e20
    | h4(e13) != e21
    | e21 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),e20) ),[0],$fot(e21)]]) ).

cnf(refute_1_68,plain,
    ( h4(e13) != e20
    | e21 = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_1_66,refute_1_67]) ).

cnf(refute_1_69,plain,
    ( e21 = e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_1_44,refute_1_68]) ).

cnf(refute_1_70,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_1_20]) ).

cnf(refute_1_71,plain,
    ( e21 != e20
    | e20 = e21 ),
    inference(subst,[],[refute_1_4:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).

cnf(refute_1_72,plain,
    e21 != e20,
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_1_71,refute_1_70]) ).

cnf(refute_1_73,plain,
    h2(e13) = e20,
    inference(resolve,[$cnf( $equal(e21,e20) )],[refute_1_69,refute_1_72]) ).

cnf(refute_1_74,plain,
    ( h2(e13) != e20
    | h2(e13) != e22
    | e20 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[0],$fot(e20)]]) ).

cnf(refute_1_75,plain,
    ( h2(e13) != e22
    | e20 = e22 ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_1_73,refute_1_74]) ).

cnf(refute_1_76,plain,
    ( e20 = e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_1_27,refute_1_75]) ).

cnf(refute_1_77,plain,
    e20 != e22,
    inference(canonicalize,[],[normalize_1_21]) ).

cnf(refute_1_78,plain,
    h1(e13) = e22,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_1_76,refute_1_77]) ).

cnf(refute_1_79,plain,
    ( h1(e13) != e20
    | h1(e13) != e22
    | e22 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[0],$fot(e22)]]) ).

cnf(refute_1_80,plain,
    ( h1(e13) != e20
    | e22 = e20 ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_1_78,refute_1_79]) ).

cnf(refute_1_81,plain,
    ( e22 = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_1_9,refute_1_80]) ).

cnf(refute_1_82,plain,
    h2(e10) = op2(op2(e21,e21),e21),
    inference(canonicalize,[],[normalize_1_22]) ).

cnf(refute_1_83,plain,
    op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
    introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).

cnf(refute_1_84,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
    | op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h2(e13))]]) ).

cnf(refute_1_85,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_1_83,refute_1_84]) ).

cnf(refute_1_86,plain,
    op2(op2(e21,e21),e21) = op2(h2(e13),e21),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_22,refute_1_85]) ).

cnf(refute_1_87,plain,
    ( h2(e10) != op2(op2(e21,e21),e21)
    | op2(op2(e21,e21),e21) != op2(h2(e13),e21)
    | h2(e10) = op2(h2(e13),e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(h2(e13),e21)) ),[0],$fot(op2(op2(e21,e21),e21))]]) ).

cnf(refute_1_88,plain,
    ( h2(e10) != op2(op2(e21,e21),e21)
    | h2(e10) = op2(h2(e13),e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h2(e13),e21)) )],[refute_1_86,refute_1_87]) ).

cnf(refute_1_89,plain,
    h2(e10) = op2(h2(e13),e21),
    inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),e21)) )],[refute_1_82,refute_1_88]) ).

cnf(refute_1_90,plain,
    op2(h2(e13),e21) = op2(h2(e13),e21),
    introduced(tautology,[refl,[$fot(op2(h2(e13),e21))]]) ).

cnf(refute_1_91,plain,
    ( h2(e13) != e20
    | op2(h2(e13),e21) != op2(h2(e13),e21)
    | op2(h2(e13),e21) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e21),op2(h2(e13),e21)) ),[1,0],$fot(e20)]]) ).

cnf(refute_1_92,plain,
    ( h2(e13) != e20
    | op2(h2(e13),e21) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),e21),op2(h2(e13),e21)) )],[refute_1_90,refute_1_91]) ).

cnf(refute_1_93,plain,
    op2(h2(e13),e21) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_1_73,refute_1_92]) ).

cnf(refute_1_94,plain,
    ( h2(e10) != op2(h2(e13),e21)
    | op2(h2(e13),e21) != op2(e20,e21)
    | h2(e10) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(e20,e21)) ),[0],$fot(op2(h2(e13),e21))]]) ).

cnf(refute_1_95,plain,
    ( h2(e10) != op2(h2(e13),e21)
    | h2(e10) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),e21),op2(e20,e21)) )],[refute_1_93,refute_1_94]) ).

cnf(refute_1_96,plain,
    h2(e10) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_1_89,refute_1_95]) ).

cnf(refute_1_97,plain,
    ( h2(e10) != op2(e20,e21)
    | op2(e20,e21) = h2(e10) ),
    inference(subst,[],[refute_1_4:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_1_98,plain,
    op2(e20,e21) = h2(e10),
    inference(resolve,[$cnf( $equal(h2(e10),op2(e20,e21)) )],[refute_1_96,refute_1_97]) ).

cnf(refute_1_99,plain,
    ( op2(e20,e21) != e20
    | op2(e20,e21) != h2(e10)
    | h2(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[0],$fot(h2(e10))]]) ).

cnf(refute_1_100,plain,
    ( op2(e20,e21) != e20
    | h2(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e10)) )],[refute_1_98,refute_1_99]) ).

cnf(refute_1_101,plain,
    ( e22 = e20
    | h2(e10) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_1_81,refute_1_100]) ).

cnf(refute_1_102,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e22) = e21
    | op2(e20,e22) = e22
    | op2(e20,e22) = e23 ),
    inference(canonicalize,[],[normalize_1_24]) ).

cnf(refute_1_103,plain,
    op2(e20,e22) != op2(e22,e22),
    inference(canonicalize,[],[normalize_1_26]) ).

cnf(refute_1_104,plain,
    ( op2(e20,e22) != e23
    | op2(e22,e22) != e23
    | op2(e20,e22) = op2(e22,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).

cnf(refute_1_105,plain,
    ( op2(e20,e22) != e23
    | op2(e20,e22) = op2(e22,e22) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_13,refute_1_104]) ).

cnf(refute_1_106,plain,
    op2(e20,e22) != e23,
    inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_1_105,refute_1_103]) ).

cnf(refute_1_107,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e22) = e21
    | op2(e20,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_1_102,refute_1_106]) ).

cnf(refute_1_108,plain,
    op2(e20,e22) != op2(e23,e22),
    inference(canonicalize,[],[normalize_1_27]) ).

cnf(refute_1_109,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(canonicalize,[],[normalize_1_28]) ).

cnf(refute_1_110,plain,
    op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).

cnf(refute_1_111,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).

cnf(refute_1_112,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),e22) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_1_110,refute_1_111]) ).

cnf(refute_1_113,plain,
    op2(op2(e22,e22),e22) = op2(e23,e22),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_13,refute_1_112]) ).

cnf(refute_1_114,plain,
    ( e20 != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) != op2(e23,e22)
    | e20 = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).

cnf(refute_1_115,plain,
    ( e20 != op2(op2(e22,e22),e22)
    | e20 = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_1_113,refute_1_114]) ).

cnf(refute_1_116,plain,
    e20 = op2(e23,e22),
    inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_1_109,refute_1_115]) ).

cnf(refute_1_117,plain,
    ( e20 != op2(e23,e22)
    | op2(e23,e22) = e20 ),
    inference(subst,[],[refute_1_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).

cnf(refute_1_118,plain,
    op2(e23,e22) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_1_116,refute_1_117]) ).

cnf(refute_1_119,plain,
    ( op2(e20,e22) != e20
    | op2(e23,e22) != e20
    | op2(e20,e22) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).

cnf(refute_1_120,plain,
    ( op2(e20,e22) != e20
    | op2(e20,e22) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_1_118,refute_1_119]) ).

cnf(refute_1_121,plain,
    op2(e20,e22) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_1_120,refute_1_108]) ).

cnf(refute_1_122,plain,
    ( op2(e20,e22) = e21
    | op2(e20,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_1_107,refute_1_121]) ).

cnf(refute_1_123,plain,
    op2(e20,e20) != op2(e20,e22),
    inference(canonicalize,[],[normalize_1_29]) ).

cnf(refute_1_124,plain,
    ( h1(e13) != op2(e20,e22)
    | op2(e20,e20) != h1(e13)
    | op2(e20,e20) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).

cnf(refute_1_125,plain,
    ( h1(e13) != op2(e20,e22)
    | op2(e20,e20) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_6,refute_1_124]) ).

cnf(refute_1_126,plain,
    h1(e13) != op2(e20,e22),
    inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_1_125,refute_1_123]) ).

cnf(refute_1_127,plain,
    ( e22 != op2(e20,e22)
    | h1(e13) != e22
    | h1(e13) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[1],$fot(op2(e20,e22))]]) ).

cnf(refute_1_128,plain,
    ( e22 != op2(e20,e22)
    | h1(e13) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_1_78,refute_1_127]) ).

cnf(refute_1_129,plain,
    e22 != op2(e20,e22),
    inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_1_128,refute_1_126]) ).

cnf(refute_1_130,plain,
    ( op2(e20,e22) != e22
    | e22 = op2(e20,e22) ),
    inference(subst,[],[refute_1_4:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(e22))]]) ).

cnf(refute_1_131,plain,
    op2(e20,e22) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e22)) )],[refute_1_130,refute_1_129]) ).

cnf(refute_1_132,plain,
    op2(e20,e22) = e21,
    inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_1_122,refute_1_131]) ).

cnf(refute_1_133,plain,
    ( op2(e20,e22) != e20
    | op2(e20,e22) != e21
    | e21 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[0],$fot(e21)]]) ).

cnf(refute_1_134,plain,
    ( op2(e20,e22) != e20
    | e21 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_1_132,refute_1_133]) ).

cnf(refute_1_135,plain,
    ( e21 = e20
    | e22 = e20
    | h2(e10) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_1_101,refute_1_134]) ).

cnf(refute_1_136,plain,
    ( e22 = e20
    | h2(e10) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(e21,e20) )],[refute_1_135,refute_1_72]) ).

cnf(refute_1_137,plain,
    ( e22 != e20
    | e20 = e22 ),
    inference(subst,[],[refute_1_4:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).

cnf(refute_1_138,plain,
    e22 != e20,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_1_137,refute_1_77]) ).

cnf(refute_1_139,plain,
    ( h2(e10) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(e22,e20) )],[refute_1_136,refute_1_138]) ).

cnf(refute_1_140,plain,
    op2(e20,e21) != op2(e21,e21),
    inference(canonicalize,[],[normalize_1_30]) ).

cnf(refute_1_141,plain,
    ( op2(e20,e21) != h2(e13)
    | op2(e21,e21) != h2(e13)
    | op2(e20,e21) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e13))]]) ).

cnf(refute_1_142,plain,
    ( op2(e20,e21) != h2(e13)
    | op2(e20,e21) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_22,refute_1_141]) ).

cnf(refute_1_143,plain,
    op2(e20,e21) != h2(e13),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_1_142,refute_1_140]) ).

cnf(refute_1_144,plain,
    ( h2(e10) != h2(e13)
    | op2(e20,e21) != h2(e10)
    | op2(e20,e21) = h2(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),h2(e10)) ),[1],$fot(h2(e13))]]) ).

cnf(refute_1_145,plain,
    ( h2(e10) != h2(e13)
    | op2(e20,e21) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e10)) )],[refute_1_98,refute_1_144]) ).

cnf(refute_1_146,plain,
    ( h2(e10) != e20
    | h2(e13) != e20
    | h2(e10) = h2(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e13)) ),[1],$fot(e20)]]) ).

cnf(refute_1_147,plain,
    ( h2(e10) != e20
    | h2(e10) = h2(e13) ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_1_73,refute_1_146]) ).

cnf(refute_1_148,plain,
    ( h2(e10) != e20
    | op2(e20,e21) = h2(e13) ),
    inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_1_147,refute_1_145]) ).

cnf(refute_1_149,plain,
    h2(e10) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e13)) )],[refute_1_148,refute_1_143]) ).

cnf(refute_1_150,plain,
    op2(e20,e23) = e20,
    inference(resolve,[$cnf( $equal(h2(e10),e20) )],[refute_1_139,refute_1_149]) ).

cnf(refute_1_151,plain,
    h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
    inference(canonicalize,[],[normalize_1_37]) ).

cnf(refute_1_152,plain,
    h4(e12) = e23,
    inference(canonicalize,[],[normalize_1_38]) ).

cnf(refute_1_153,plain,
    ( op1(e12,e12) != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(canonicalize,[],[normalize_1_42]) ).

cnf(refute_1_154,plain,
    e13 = op1(e12,e12),
    inference(canonicalize,[],[normalize_1_44]) ).

cnf(refute_1_155,plain,
    ( e13 != op1(e12,e12)
    | op1(e12,e12) = e13 ),
    inference(subst,[],[refute_1_4:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).

cnf(refute_1_156,plain,
    op1(e12,e12) = e13,
    inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_1_154,refute_1_155]) ).

cnf(refute_1_157,plain,
    ( e13 != e13
    | op1(e12,e12) != e13
    | op1(e12,e12) = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(e13)]]) ).

cnf(refute_1_158,plain,
    ( e13 != e13
    | op1(e12,e12) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_156,refute_1_157]) ).

cnf(refute_1_159,plain,
    ( e13 != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_158,refute_1_153]) ).

cnf(refute_1_160,plain,
    e13 = e13,
    introduced(tautology,[refl,[$fot(e13)]]) ).

cnf(refute_1_161,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(resolve,[$cnf( $equal(e13,e13) )],[refute_1_160,refute_1_159]) ).

cnf(refute_1_162,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(canonicalize,[],[normalize_1_47]) ).

cnf(refute_1_163,plain,
    ( op1(e12,e12) != e10
    | op1(e12,e12) != e13
    | e13 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[0],$fot(e13)]]) ).

cnf(refute_1_164,plain,
    ( op1(e12,e12) != e10
    | e13 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_156,refute_1_163]) ).

cnf(refute_1_165,plain,
    ( e13 = e10
    | op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_1_162,refute_1_164]) ).

cnf(refute_1_166,plain,
    e10 != e13,
    inference(canonicalize,[],[normalize_1_49]) ).

cnf(refute_1_167,plain,
    ( e13 != e10
    | e10 = e13 ),
    inference(subst,[],[refute_1_4:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).

cnf(refute_1_168,plain,
    e13 != e10,
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_1_167,refute_1_166]) ).

cnf(refute_1_169,plain,
    ( op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(e13,e10) )],[refute_1_165,refute_1_168]) ).

cnf(refute_1_170,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(canonicalize,[],[normalize_1_50]) ).

cnf(refute_1_171,plain,
    op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).

cnf(refute_1_172,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).

cnf(refute_1_173,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_1_171,refute_1_172]) ).

cnf(refute_1_174,plain,
    op1(e13,op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_156,refute_1_173]) ).

cnf(refute_1_175,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_1_176,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).

cnf(refute_1_177,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_1_175,refute_1_176]) ).

cnf(refute_1_178,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_156,refute_1_177]) ).

cnf(refute_1_179,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(subst,[],[refute_1_55:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).

cnf(refute_1_180,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_1_178,refute_1_179]) ).

cnf(refute_1_181,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_1_174,refute_1_180]) ).

cnf(refute_1_182,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
    | e11 = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_1_183,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | e11 = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_1_181,refute_1_182]) ).

cnf(refute_1_184,plain,
    e11 = op1(e13,e13),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_1_170,refute_1_183]) ).

cnf(refute_1_185,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_1_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_1_186,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_1_184,refute_1_185]) ).

cnf(refute_1_187,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e13) != e11
    | e11 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).

cnf(refute_1_188,plain,
    ( op1(e13,e13) != e10
    | e11 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_1_186,refute_1_187]) ).

cnf(refute_1_189,plain,
    ( e11 = e10
    | op1(e11,e11) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_1_169,refute_1_188]) ).

cnf(refute_1_190,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_1_51]) ).

cnf(refute_1_191,plain,
    ( e11 != e10
    | e10 = e11 ),
    inference(subst,[],[refute_1_4:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).

cnf(refute_1_192,plain,
    e11 != e10,
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_1_191,refute_1_190]) ).

cnf(refute_1_193,plain,
    op1(e11,e11) = e10,
    inference(resolve,[$cnf( $equal(e11,e10) )],[refute_1_189,refute_1_192]) ).

cnf(refute_1_194,plain,
    ( op1(e11,e11) != e10
    | op1(e11,e11) != e12
    | e10 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[0],$fot(e10)]]) ).

cnf(refute_1_195,plain,
    ( op1(e11,e11) != e12
    | e10 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_1_193,refute_1_194]) ).

cnf(refute_1_196,plain,
    ( e10 = e12
    | op1(e10,e10) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_1_161,refute_1_195]) ).

cnf(refute_1_197,plain,
    e10 != e12,
    inference(canonicalize,[],[normalize_1_52]) ).

cnf(refute_1_198,plain,
    op1(e10,e10) = e12,
    inference(resolve,[$cnf( $equal(e10,e12) )],[refute_1_196,refute_1_197]) ).

cnf(refute_1_199,plain,
    h4(op1(e10,e10)) = h4(op1(e10,e10)),
    introduced(tautology,[refl,[$fot(h4(op1(e10,e10)))]]) ).

cnf(refute_1_200,plain,
    ( h4(op1(e10,e10)) != h4(op1(e10,e10))
    | op1(e10,e10) != e12
    | h4(op1(e10,e10)) = h4(e12) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) ),[1,0],$fot(e12)]]) ).

cnf(refute_1_201,plain,
    ( op1(e10,e10) != e12
    | h4(op1(e10,e10)) = h4(e12) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) )],[refute_1_199,refute_1_200]) ).

cnf(refute_1_202,plain,
    h4(op1(e10,e10)) = h4(e12),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_1_198,refute_1_201]) ).

cnf(refute_1_203,plain,
    ( h4(e12) != e23
    | h4(op1(e10,e10)) != h4(e12)
    | h4(op1(e10,e10)) = e23 ),
    inference(subst,[],[refute_1_55:[bind(X,$fot(h4(op1(e10,e10)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e23))]]) ).

cnf(refute_1_204,plain,
    ( h4(e12) != e23
    | h4(op1(e10,e10)) = e23 ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(e12)) )],[refute_1_202,refute_1_203]) ).

cnf(refute_1_205,plain,
    h4(op1(e10,e10)) = e23,
    inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_1_152,refute_1_204]) ).

cnf(refute_1_206,plain,
    ( h4(op1(e10,e10)) != e23
    | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | e23 = op2(h4(e10),h4(e10)) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[0],$fot(e23)]]) ).

cnf(refute_1_207,plain,
    ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | e23 = op2(h4(e10),h4(e10)) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e23) )],[refute_1_205,refute_1_206]) ).

cnf(refute_1_208,plain,
    e23 = op2(h4(e10),h4(e10)),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_1_151,refute_1_207]) ).

cnf(refute_1_209,plain,
    ( h4(e13) != e21
    | h4(e13) != op2(e23,e23)
    | e21 = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e23,e23)) ),[0],$fot(e21)]]) ).

cnf(refute_1_210,plain,
    ( h4(e13) != op2(e23,e23)
    | e21 = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_1_66,refute_1_209]) ).

cnf(refute_1_211,plain,
    e21 = op2(e23,e23),
    inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_1_35,refute_1_210]) ).

cnf(refute_1_212,plain,
    ( e21 != op2(e23,e23)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_1_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_1_213,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_1_211,refute_1_212]) ).

cnf(refute_1_214,plain,
    ( op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23
    | op2(e23,e23) = e23 ),
    inference(canonicalize,[],[normalize_1_53]) ).

cnf(refute_1_215,plain,
    ( op2(e23,e23) != e23
    | op2(e23,e23) != h4(e13)
    | h4(e13) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).

cnf(refute_1_216,plain,
    ( op2(e23,e23) != e23
    | h4(e13) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_1_37,refute_1_215]) ).

cnf(refute_1_217,plain,
    ( h4(e13) = e23
    | op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_1_214,refute_1_216]) ).

cnf(refute_1_218,plain,
    op2(e22,e22) != op2(e22,e23),
    inference(canonicalize,[],[normalize_1_54]) ).

cnf(refute_1_219,plain,
    ( e23 != op2(e22,e23)
    | op2(e22,e22) != e23
    | op2(e22,e22) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).

cnf(refute_1_220,plain,
    ( e23 != op2(e22,e23)
    | op2(e22,e22) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_13,refute_1_219]) ).

cnf(refute_1_221,plain,
    e23 != op2(e22,e23),
    inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_1_220,refute_1_218]) ).

cnf(refute_1_222,plain,
    ( op2(e22,e23) != e23
    | e23 = op2(e22,e23) ),
    inference(subst,[],[refute_1_4:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).

cnf(refute_1_223,plain,
    op2(e22,e23) != e23,
    inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_1_222,refute_1_221]) ).

cnf(refute_1_224,plain,
    ( h4(e13) = e23
    | op2(e20,e23) = e23
    | op2(e21,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_1_217,refute_1_223]) ).

cnf(refute_1_225,plain,
    ( h4(e13) != e21
    | h4(e13) != e23
    | e21 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e21)]]) ).

cnf(refute_1_226,plain,
    ( h4(e13) != e23
    | e21 = e23 ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_1_66,refute_1_225]) ).

cnf(refute_1_227,plain,
    ( e21 = e23
    | op2(e20,e23) = e23
    | op2(e21,e23) = e23 ),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_1_224,refute_1_226]) ).

cnf(refute_1_228,plain,
    ( op2(e20,e23) != e20
    | op2(e20,e23) != e23
    | e20 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(e20)]]) ).

cnf(refute_1_229,plain,
    ( op2(e20,e23) != e23
    | e20 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_1_150,refute_1_228]) ).

cnf(refute_1_230,plain,
    ( e20 = e23
    | e21 = e23
    | op2(e21,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_1_227,refute_1_229]) ).

cnf(refute_1_231,plain,
    h4(e10) = op2(op2(e23,e23),e23),
    inference(canonicalize,[],[normalize_1_55]) ).

cnf(refute_1_232,plain,
    op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).

cnf(refute_1_233,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
    | op2(op2(e23,e23),e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).

cnf(refute_1_234,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_1_232,refute_1_233]) ).

cnf(refute_1_235,plain,
    op2(op2(e23,e23),e23) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_213,refute_1_234]) ).

cnf(refute_1_236,plain,
    ( h4(e10) != op2(op2(e23,e23),e23)
    | op2(op2(e23,e23),e23) != op2(e21,e23)
    | h4(e10) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).

cnf(refute_1_237,plain,
    ( h4(e10) != op2(op2(e23,e23),e23)
    | h4(e10) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_1_235,refute_1_236]) ).

cnf(refute_1_238,plain,
    h4(e10) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_1_231,refute_1_237]) ).

cnf(refute_1_239,plain,
    ( h4(e10) != op2(e21,e23)
    | op2(e21,e23) = h4(e10) ),
    inference(subst,[],[refute_1_4:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_1_240,plain,
    op2(e21,e23) = h4(e10),
    inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_1_238,refute_1_239]) ).

cnf(refute_1_241,plain,
    ( op2(e21,e23) != e23
    | op2(e21,e23) != h4(e10)
    | h4(e10) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(h4(e10))]]) ).

cnf(refute_1_242,plain,
    ( op2(e21,e23) != e23
    | h4(e10) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_1_240,refute_1_241]) ).

cnf(refute_1_243,plain,
    ( e20 = e23
    | e21 = e23
    | h4(e10) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_1_230,refute_1_242]) ).

cnf(refute_1_244,plain,
    ( e21 = e23
    | h4(e10) = e23 ),
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_1_243,refute_1_41]) ).

cnf(refute_1_245,plain,
    e21 != e23,
    inference(canonicalize,[],[normalize_1_56]) ).

cnf(refute_1_246,plain,
    h4(e10) = e23,
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_1_244,refute_1_245]) ).

cnf(refute_1_247,plain,
    op2(e23,h4(e10)) = op2(e23,h4(e10)),
    introduced(tautology,[refl,[$fot(op2(e23,h4(e10)))]]) ).

cnf(refute_1_248,plain,
    ( h4(e10) != e23
    | op2(e23,h4(e10)) != op2(e23,h4(e10))
    | op2(e23,h4(e10)) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) ),[1,1],$fot(e23)]]) ).

cnf(refute_1_249,plain,
    ( h4(e10) != e23
    | op2(e23,h4(e10)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) )],[refute_1_247,refute_1_248]) ).

cnf(refute_1_250,plain,
    op2(e23,h4(e10)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_1_246,refute_1_249]) ).

cnf(refute_1_251,plain,
    op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
    introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).

cnf(refute_1_252,plain,
    ( h4(e10) != e23
    | op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
    | op2(h4(e10),h4(e10)) = op2(e23,h4(e10)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e23)]]) ).

cnf(refute_1_253,plain,
    ( h4(e10) != e23
    | op2(h4(e10),h4(e10)) = op2(e23,h4(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_1_251,refute_1_252]) ).

cnf(refute_1_254,plain,
    op2(h4(e10),h4(e10)) = op2(e23,h4(e10)),
    inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_1_246,refute_1_253]) ).

cnf(refute_1_255,plain,
    ( op2(e23,h4(e10)) != op2(e23,e23)
    | op2(h4(e10),h4(e10)) != op2(e23,h4(e10))
    | op2(h4(e10),h4(e10)) = op2(e23,e23) ),
    inference(subst,[],[refute_1_55:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e23,h4(e10)))),bind(Z,$fot(op2(e23,e23)))]]) ).

cnf(refute_1_256,plain,
    ( op2(e23,h4(e10)) != op2(e23,e23)
    | op2(h4(e10),h4(e10)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e23,h4(e10))) )],[refute_1_254,refute_1_255]) ).

cnf(refute_1_257,plain,
    op2(h4(e10),h4(e10)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,e23)) )],[refute_1_250,refute_1_256]) ).

cnf(refute_1_258,plain,
    ( op2(e23,e23) != e21
    | op2(h4(e10),h4(e10)) != op2(e23,e23)
    | op2(h4(e10),h4(e10)) = e21 ),
    inference(subst,[],[refute_1_55:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(e21))]]) ).

cnf(refute_1_259,plain,
    ( op2(e23,e23) != e21
    | op2(h4(e10),h4(e10)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e23,e23)) )],[refute_1_257,refute_1_258]) ).

cnf(refute_1_260,plain,
    op2(h4(e10),h4(e10)) = e21,
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_1_213,refute_1_259]) ).

cnf(refute_1_261,plain,
    ( e23 != op2(h4(e10),h4(e10))
    | op2(h4(e10),h4(e10)) != e21
    | e23 = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e23,e21) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).

cnf(refute_1_262,plain,
    ( e23 != op2(h4(e10),h4(e10))
    | e23 = e21 ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),e21) )],[refute_1_260,refute_1_261]) ).

cnf(refute_1_263,plain,
    e23 = e21,
    inference(resolve,[$cnf( $equal(e23,op2(h4(e10),h4(e10))) )],[refute_1_208,refute_1_262]) ).

cnf(refute_1_264,plain,
    ( op2(e20,e20) = e23
    | op2(e20,e21) = e23
    | op2(e20,e22) = e23
    | op2(e20,e23) = e23 ),
    inference(canonicalize,[],[normalize_1_57]) ).

cnf(refute_1_265,plain,
    ( op2(e20,e20) != e23
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).

cnf(refute_1_266,plain,
    ( op2(e20,e20) != e23
    | h1(e13) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_6,refute_1_265]) ).

cnf(refute_1_267,plain,
    ( h1(e13) = e23
    | op2(e20,e21) = e23
    | op2(e20,e22) = e23
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_1_264,refute_1_266]) ).

cnf(refute_1_268,plain,
    ( h1(e13) = e23
    | op2(e20,e21) = e23
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_1_267,refute_1_106]) ).

cnf(refute_1_269,plain,
    ( h1(e13) != e22
    | h1(e13) != e23
    | e22 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e13),e23) ),[0],$fot(e22)]]) ).

cnf(refute_1_270,plain,
    ( h1(e13) != e23
    | e22 = e23 ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_1_78,refute_1_269]) ).

cnf(refute_1_271,plain,
    ( e22 = e23
    | op2(e20,e21) = e23
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_1_268,refute_1_270]) ).

cnf(refute_1_272,plain,
    ( op2(e20,e21) != e23
    | op2(e20,e21) != h2(e10)
    | h2(e10) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[0],$fot(h2(e10))]]) ).

cnf(refute_1_273,plain,
    ( op2(e20,e21) != e23
    | h2(e10) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e10)) )],[refute_1_98,refute_1_272]) ).

cnf(refute_1_274,plain,
    ( e22 = e23
    | h2(e10) = e23
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_1_271,refute_1_273]) ).

cnf(refute_1_275,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_1_58]) ).

cnf(refute_1_276,plain,
    ( h2(e10) = e23
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_1_274,refute_1_275]) ).

cnf(refute_1_277,plain,
    ( e20 = e23
    | h2(e10) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_1_276,refute_1_229]) ).

cnf(refute_1_278,plain,
    h2(e10) = e23,
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_1_277,refute_1_41]) ).

cnf(refute_1_279,plain,
    ( h2(e10) != e23
    | h2(e10) != op2(e20,e21)
    | e23 = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(e20,e21)) ),[0],$fot(e23)]]) ).

cnf(refute_1_280,plain,
    ( h2(e10) != op2(e20,e21)
    | e23 = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(h2(e10),e23) )],[refute_1_278,refute_1_279]) ).

cnf(refute_1_281,plain,
    e23 = op2(e20,e21),
    inference(resolve,[$cnf( $equal(h2(e10),op2(e20,e21)) )],[refute_1_96,refute_1_280]) ).

cnf(refute_1_282,plain,
    ( e23 != op2(e20,e21)
    | op2(e20,e21) = e23 ),
    inference(subst,[],[refute_1_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_1_283,plain,
    op2(e20,e21) = e23,
    inference(resolve,[$cnf( $equal(e23,op2(e20,e21)) )],[refute_1_281,refute_1_282]) ).

cnf(refute_1_284,plain,
    ( e23 != e21
    | op2(e20,e21) != e23
    | op2(e20,e21) = e21 ),
    inference(subst,[],[refute_1_55:[bind(X,$fot(op2(e20,e21))),bind(Y,$fot(e23)),bind(Z,$fot(e21))]]) ).

cnf(refute_1_285,plain,
    ( e23 != e21
    | op2(e20,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_1_283,refute_1_284]) ).

cnf(refute_1_286,plain,
    op2(e20,e21) = e21,
    inference(resolve,[$cnf( $equal(e23,e21) )],[refute_1_263,refute_1_285]) ).

cnf(refute_1_287,plain,
    op2(e20,e23) = op2(e20,e23),
    introduced(tautology,[refl,[$fot(op2(e20,e23))]]) ).

cnf(refute_1_288,plain,
    ( e23 != e21
    | op2(e20,e23) != op2(e20,e23)
    | op2(e20,e23) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),op2(e20,e23)) ),[1,1],$fot(e21)]]) ).

cnf(refute_1_289,plain,
    ( e23 != e21
    | op2(e20,e23) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e20,e23)) )],[refute_1_287,refute_1_288]) ).

cnf(refute_1_290,plain,
    op2(e20,e23) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(e23,e21) )],[refute_1_263,refute_1_289]) ).

cnf(refute_1_291,plain,
    ( op2(e20,e21) != e21
    | op2(e20,e23) != op2(e20,e21)
    | op2(e20,e23) = e21 ),
    inference(subst,[],[refute_1_55:[bind(X,$fot(op2(e20,e23))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(e21))]]) ).

cnf(refute_1_292,plain,
    ( op2(e20,e21) != e21
    | op2(e20,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e20,e21)) )],[refute_1_290,refute_1_291]) ).

cnf(refute_1_293,plain,
    op2(e20,e23) = e21,
    inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_1_286,refute_1_292]) ).

cnf(refute_1_294,plain,
    ( op2(e20,e23) != e20
    | op2(e20,e23) != e21
    | e21 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(e21)]]) ).

cnf(refute_1_295,plain,
    ( op2(e20,e23) != e20
    | e21 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_1_293,refute_1_294]) ).

cnf(refute_1_296,plain,
    e21 = e20,
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_1_150,refute_1_295]) ).

cnf(refute_1_297,plain,
    $false,
    inference(resolve,[$cnf( $equal(e21,e20) )],[refute_1_296,refute_1_72]) ).

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

fof(normalize_2_1,plain,
    h2(e10) = op2(op2(e21,e21),e21),
    inference(conjunct,[],[normalize_2_0]) ).

fof(normalize_2_2,plain,
    h2(e13) = op2(e21,e21),
    inference(conjunct,[],[normalize_2_0]) ).

fof(normalize_2_3,plain,
    ( ( ( op2(e20,e20) != e21
        & op2(e21,e21) = e20 )
      | ( op2(e20,e20) != e22
        & op2(e22,e22) = e20 )
      | ( op2(e20,e20) != e23
        & op2(e23,e23) = e20 ) )
    & ( ( op2(e21,e21) != e20
        & op2(e20,e20) = e21 )
      | ( op2(e21,e21) != e22
        & op2(e22,e22) = e21 )
      | ( op2(e21,e21) != e23
        & op2(e23,e23) = e21 ) )
    & ( ( op2(e22,e22) != e20
        & op2(e20,e20) = e22 )
      | ( op2(e22,e22) != e21
        & op2(e21,e21) = e22 )
      | ( op2(e22,e22) != e23
        & op2(e23,e23) = e22 ) )
    & ( ( op2(e23,e23) != e20
        & op2(e20,e20) = e23 )
      | ( op2(e23,e23) != e21
        & op2(e21,e21) = e23 )
      | ( op2(e23,e23) != e22
        & op2(e22,e22) = e23 ) ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_2_4,plain,
    ( ( op2(e20,e20) != e21
      & op2(e21,e21) = e20 )
    | ( op2(e20,e20) != e22
      & op2(e22,e22) = e20 )
    | ( op2(e20,e20) != e23
      & op2(e23,e23) = e20 ) ),
    inference(conjunct,[],[normalize_2_3]) ).

fof(normalize_2_5,plain,
    ( ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e20,e20) != e23 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e23
      | op2(e22,e22) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e20) != e23
      | op2(e21,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e21) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e21) = e20
      | op2(e22,e22) = e20 )
    & ( op2(e21,e21) = e20
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 ) ),
    inference(clausify,[],[normalize_2_4]) ).

fof(normalize_2_6,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(conjunct,[],[normalize_2_5]) ).

fof(normalize_2_7,plain,
    ( e20 = op2(op2(e22,e22),e22)
    & e21 = op2(op2(e22,e22),op2(e22,e22))
    & e23 = op2(e22,e22) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_2_8,plain,
    e23 = op2(e22,e22),
    inference(conjunct,[],[normalize_2_7]) ).

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

fof(normalize_2_10,plain,
    h4(e13) = op2(e23,e23),
    inference(conjunct,[],[normalize_2_9]) ).

fof(normalize_2_11,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_2_12,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_2_11]) ).

fof(normalize_2_13,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(conjunct,[],[normalize_2_7]) ).

fof(normalize_2_14,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_2_11]) ).

fof(normalize_2_15,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e21) = e20
      | op2(e20,e22) = e20
      | op2(e20,e23) = e20 )
    & ( op2(e20,e20) = e20
      | op2(e21,e20) = e20
      | op2(e22,e20) = e20
      | op2(e23,e20) = e20 )
    & ( op2(e20,e20) = e21
      | op2(e20,e21) = e21
      | op2(e20,e22) = e21
      | op2(e20,e23) = e21 )
    & ( op2(e20,e20) = e21
      | op2(e21,e20) = e21
      | op2(e22,e20) = e21
      | op2(e23,e20) = e21 )
    & ( op2(e20,e20) = e22
      | op2(e20,e21) = e22
      | op2(e20,e22) = e22
      | op2(e20,e23) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e20) = e22
      | op2(e22,e20) = e22
      | op2(e23,e20) = e22 )
    & ( op2(e20,e20) = e23
      | op2(e20,e21) = e23
      | op2(e20,e22) = e23
      | op2(e20,e23) = e23 )
    & ( op2(e20,e20) = e23
      | op2(e21,e20) = e23
      | op2(e22,e20) = e23
      | op2(e23,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e21,e21) = e20
      | op2(e22,e21) = e20
      | op2(e23,e21) = e20 )
    & ( op2(e20,e21) = e21
      | op2(e21,e21) = e21
      | op2(e22,e21) = e21
      | op2(e23,e21) = e21 )
    & ( op2(e20,e21) = e22
      | op2(e21,e21) = e22
      | op2(e22,e21) = e22
      | op2(e23,e21) = e22 )
    & ( op2(e20,e21) = e23
      | op2(e21,e21) = e23
      | op2(e22,e21) = e23
      | op2(e23,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e21,e22) = e20
      | op2(e22,e22) = e20
      | op2(e23,e22) = e20 )
    & ( op2(e20,e22) = e21
      | op2(e21,e22) = e21
      | op2(e22,e22) = e21
      | op2(e23,e22) = e21 )
    & ( op2(e20,e22) = e22
      | op2(e21,e22) = e22
      | op2(e22,e22) = e22
      | op2(e23,e22) = e22 )
    & ( op2(e20,e22) = e23
      | op2(e21,e22) = e23
      | op2(e22,e22) = e23
      | op2(e23,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e21,e23) = e20
      | op2(e22,e23) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e23) = e21
      | op2(e21,e23) = e21
      | op2(e22,e23) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e20,e23) = e22
      | op2(e21,e23) = e22
      | op2(e22,e23) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e20,e23) = e23
      | op2(e21,e23) = e23
      | op2(e22,e23) = e23
      | op2(e23,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e21) = e20
      | op2(e21,e22) = e20
      | op2(e21,e23) = e20 )
    & ( op2(e21,e20) = e21
      | op2(e21,e21) = e21
      | op2(e21,e22) = e21
      | op2(e21,e23) = e21 )
    & ( op2(e21,e20) = e22
      | op2(e21,e21) = e22
      | op2(e21,e22) = e22
      | op2(e21,e23) = e22 )
    & ( op2(e21,e20) = e23
      | op2(e21,e21) = e23
      | op2(e21,e22) = e23
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e21) = e20
      | op2(e22,e22) = e20
      | op2(e22,e23) = e20 )
    & ( op2(e22,e20) = e21
      | op2(e22,e21) = e21
      | op2(e22,e22) = e21
      | op2(e22,e23) = e21 )
    & ( op2(e22,e20) = e22
      | op2(e22,e21) = e22
      | op2(e22,e22) = e22
      | op2(e22,e23) = e22 )
    & ( op2(e22,e20) = e23
      | op2(e22,e21) = e23
      | op2(e22,e22) = e23
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e21) = e20
      | op2(e23,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e23,e20) = e21
      | op2(e23,e21) = e21
      | op2(e23,e22) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e23,e20) = e22
      | op2(e23,e21) = e22
      | op2(e23,e22) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e23,e20) = e23
      | op2(e23,e21) = e23
      | op2(e23,e22) = e23
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax4]) ).

fof(normalize_2_16,plain,
    ( op2(e20,e20) = e23
    | op2(e20,e21) = e23
    | op2(e20,e22) = e23
    | op2(e20,e23) = e23 ),
    inference(conjunct,[],[normalize_2_15]) ).

fof(normalize_2_17,plain,
    ( h1(e10) = op2(op2(e20,e20),e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = e20
    & h1(e13) = op2(e20,e20) ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_2_18,plain,
    h1(e13) = op2(e20,e20),
    inference(conjunct,[],[normalize_2_17]) ).

fof(normalize_2_19,plain,
    ( op2(e20,e20) != op2(e20,e21)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e20) != op2(e21,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e22) != op2(e23,e23) ),
    inference(canonicalize,[],[ax6]) ).

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

fof(normalize_2_21,plain,
    ( ( op2(e22,e22) != e20
      & op2(e20,e20) = e22 )
    | ( op2(e22,e22) != e21
      & op2(e21,e21) = e22 )
    | ( op2(e22,e22) != e23
      & op2(e23,e23) = e22 ) ),
    inference(conjunct,[],[normalize_2_3]) ).

fof(normalize_2_22,plain,
    ( ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e23
      | op2(e21,e21) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e22) != e23
      | op2(e20,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e20,e20) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e20,e20) = e22
      | op2(e21,e21) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 ) ),
    inference(clausify,[],[normalize_2_21]) ).

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

fof(normalize_2_24,plain,
    e20 != e22,
    inference(conjunct,[],[normalize_2_11]) ).

fof(normalize_2_25,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_2_11]) ).

fof(normalize_2_26,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(conjunct,[],[normalize_2_15]) ).

fof(normalize_2_27,plain,
    op2(e20,e21) != op2(e21,e21),
    inference(conjunct,[],[normalize_2_19]) ).

fof(normalize_2_28,plain,
    op2(e20,e22) != op2(e23,e22),
    inference(conjunct,[],[normalize_2_19]) ).

fof(normalize_2_29,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(conjunct,[],[normalize_2_7]) ).

fof(normalize_2_30,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_31,plain,
    h1(e12) = e20,
    inference(conjunct,[],[normalize_2_17]) ).

fof(normalize_2_32,plain,
    h2(e12) = e21,
    inference(conjunct,[],[normalize_2_0]) ).

fof(normalize_2_33,plain,
    ( h3(e10) = op2(op2(e22,e22),e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = e22
    & h3(e13) = op2(e22,e22) ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_2_34,plain,
    h3(e12) = e22,
    inference(conjunct,[],[normalize_2_33]) ).

fof(normalize_2_35,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_30,normalize_2_31,normalize_2_32,normalize_2_34]) ).

fof(normalize_2_36,plain,
    h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
    inference(conjunct,[],[normalize_2_35]) ).

fof(normalize_2_37,plain,
    h4(e12) = e23,
    inference(conjunct,[],[normalize_2_9]) ).

fof(normalize_2_38,plain,
    ( ( ( op1(e10,e10) != e11
        & op1(e11,e11) = e10 )
      | ( op1(e10,e10) != e12
        & op1(e12,e12) = e10 )
      | ( op1(e10,e10) != e13
        & op1(e13,e13) = e10 ) )
    & ( ( op1(e11,e11) != e10
        & op1(e10,e10) = e11 )
      | ( op1(e11,e11) != e12
        & op1(e12,e12) = e11 )
      | ( op1(e11,e11) != e13
        & op1(e13,e13) = e11 ) )
    & ( ( op1(e12,e12) != e10
        & op1(e10,e10) = e12 )
      | ( op1(e12,e12) != e11
        & op1(e11,e11) = e12 )
      | ( op1(e12,e12) != e13
        & op1(e13,e13) = e12 ) )
    & ( ( op1(e13,e13) != e10
        & op1(e10,e10) = e13 )
      | ( op1(e13,e13) != e11
        & op1(e11,e11) = e13 )
      | ( op1(e13,e13) != e12
        & op1(e12,e12) = e13 ) ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_2_39,plain,
    ( ( op1(e12,e12) != e10
      & op1(e10,e10) = e12 )
    | ( op1(e12,e12) != e11
      & op1(e11,e11) = e12 )
    | ( op1(e12,e12) != e13
      & op1(e13,e13) = e12 ) ),
    inference(conjunct,[],[normalize_2_38]) ).

fof(normalize_2_40,plain,
    ( ( op1(e12,e12) != e10
      | op1(e12,e12) != e11
      | op1(e12,e12) != e13 )
    & ( op1(e12,e12) != e10
      | op1(e12,e12) != e11
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e10
      | op1(e12,e12) != e13
      | op1(e11,e11) = e12 )
    & ( op1(e12,e12) != e10
      | op1(e11,e11) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e12) != e13
      | op1(e10,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e10,e10) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e10,e10) = e12
      | op1(e11,e11) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e11) = e12
      | op1(e13,e13) = e12 ) ),
    inference(clausify,[],[normalize_2_39]) ).

fof(normalize_2_41,plain,
    ( op1(e12,e12) != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(conjunct,[],[normalize_2_40]) ).

fof(normalize_2_42,plain,
    ( e10 = op1(op1(e12,e12),e12)
    & e11 = op1(op1(e12,e12),op1(e12,e12))
    & e13 = op1(e12,e12) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_2_43,plain,
    e13 = op1(e12,e12),
    inference(conjunct,[],[normalize_2_42]) ).

fof(normalize_2_44,plain,
    ( ( op1(e10,e10) != e11
      & op1(e11,e11) = e10 )
    | ( op1(e10,e10) != e12
      & op1(e12,e12) = e10 )
    | ( op1(e10,e10) != e13
      & op1(e13,e13) = e10 ) ),
    inference(conjunct,[],[normalize_2_38]) ).

fof(normalize_2_45,plain,
    ( ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e10,e10) != e13 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e13
      | op1(e12,e12) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e10) != e13
      | op1(e11,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e11) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e11) = e10
      | op1(e12,e12) = e10 )
    & ( op1(e11,e11) = e10
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 ) ),
    inference(clausify,[],[normalize_2_44]) ).

fof(normalize_2_46,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(conjunct,[],[normalize_2_45]) ).

fof(normalize_2_47,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_2_48,plain,
    e10 != e13,
    inference(conjunct,[],[normalize_2_47]) ).

fof(normalize_2_49,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(conjunct,[],[normalize_2_42]) ).

fof(normalize_2_50,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_2_47]) ).

fof(normalize_2_51,plain,
    e10 != e12,
    inference(conjunct,[],[normalize_2_47]) ).

fof(normalize_2_52,plain,
    ( op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23
    | op2(e23,e23) = e23 ),
    inference(conjunct,[],[normalize_2_15]) ).

fof(normalize_2_53,plain,
    op2(e22,e22) != op2(e22,e23),
    inference(conjunct,[],[normalize_2_19]) ).

fof(normalize_2_54,plain,
    h4(e10) = op2(op2(e23,e23),e23),
    inference(conjunct,[],[normalize_2_9]) ).

fof(normalize_2_55,plain,
    e21 != e23,
    inference(conjunct,[],[normalize_2_11]) ).

cnf(refute_2_0,plain,
    h2(e10) = op2(op2(e21,e21),e21),
    inference(canonicalize,[],[normalize_2_1]) ).

cnf(refute_2_1,plain,
    h2(e13) = op2(e21,e21),
    inference(canonicalize,[],[normalize_2_2]) ).

cnf(refute_2_2,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_2_3,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_2_4,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_2_2,refute_2_3]) ).

cnf(refute_2_5,plain,
    ( h2(e13) != op2(e21,e21)
    | op2(e21,e21) = h2(e13) ),
    inference(subst,[],[refute_2_4:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_2_6,plain,
    op2(e21,e21) = h2(e13),
    inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_2_1,refute_2_5]) ).

cnf(refute_2_7,plain,
    op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
    introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).

cnf(refute_2_8,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
    | op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h2(e13))]]) ).

cnf(refute_2_9,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_2_7,refute_2_8]) ).

cnf(refute_2_10,plain,
    op2(op2(e21,e21),e21) = op2(h2(e13),e21),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_6,refute_2_9]) ).

cnf(refute_2_11,plain,
    ( h2(e10) != op2(op2(e21,e21),e21)
    | op2(op2(e21,e21),e21) != op2(h2(e13),e21)
    | h2(e10) = op2(h2(e13),e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(h2(e13),e21)) ),[0],$fot(op2(op2(e21,e21),e21))]]) ).

cnf(refute_2_12,plain,
    ( h2(e10) != op2(op2(e21,e21),e21)
    | h2(e10) = op2(h2(e13),e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h2(e13),e21)) )],[refute_2_10,refute_2_11]) ).

cnf(refute_2_13,plain,
    h2(e10) = op2(h2(e13),e21),
    inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),e21)) )],[refute_2_0,refute_2_12]) ).

cnf(refute_2_14,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(canonicalize,[],[normalize_2_6]) ).

cnf(refute_2_15,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).

cnf(refute_2_16,plain,
    ( op2(e21,e21) != e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_6,refute_2_15]) ).

cnf(refute_2_17,plain,
    ( h2(e13) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_2_14,refute_2_16]) ).

cnf(refute_2_18,plain,
    e23 = op2(e22,e22),
    inference(canonicalize,[],[normalize_2_8]) ).

cnf(refute_2_19,plain,
    ( e23 != op2(e22,e22)
    | op2(e22,e22) = e23 ),
    inference(subst,[],[refute_2_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_2_20,plain,
    op2(e22,e22) = e23,
    inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_2_18,refute_2_19]) ).

cnf(refute_2_21,plain,
    ( op2(e22,e22) != e20
    | op2(e22,e22) != e23
    | e23 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).

cnf(refute_2_22,plain,
    ( op2(e22,e22) != e20
    | e23 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_20,refute_2_21]) ).

cnf(refute_2_23,plain,
    ( e23 = e20
    | h2(e13) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_2_17,refute_2_22]) ).

cnf(refute_2_24,plain,
    h4(e13) = op2(e23,e23),
    inference(canonicalize,[],[normalize_2_10]) ).

cnf(refute_2_25,plain,
    ( h4(e13) != op2(e23,e23)
    | op2(e23,e23) = h4(e13) ),
    inference(subst,[],[refute_2_4:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_2_26,plain,
    op2(e23,e23) = h4(e13),
    inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_2_24,refute_2_25]) ).

cnf(refute_2_27,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e23) != h4(e13)
    | h4(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(h4(e13))]]) ).

cnf(refute_2_28,plain,
    ( op2(e23,e23) != e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_2_26,refute_2_27]) ).

cnf(refute_2_29,plain,
    ( e23 = e20
    | h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_2_23,refute_2_28]) ).

cnf(refute_2_30,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_2_12]) ).

cnf(refute_2_31,plain,
    ( e23 != e20
    | e20 = e23 ),
    inference(subst,[],[refute_2_4:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).

cnf(refute_2_32,plain,
    e23 != e20,
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_2_31,refute_2_30]) ).

cnf(refute_2_33,plain,
    ( h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(e23,e20) )],[refute_2_29,refute_2_32]) ).

cnf(refute_2_34,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(canonicalize,[],[normalize_2_13]) ).

cnf(refute_2_35,plain,
    op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).

cnf(refute_2_36,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).

cnf(refute_2_37,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_2_35,refute_2_36]) ).

cnf(refute_2_38,plain,
    op2(e23,op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_20,refute_2_37]) ).

cnf(refute_2_39,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_2_40,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).

cnf(refute_2_41,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_2_39,refute_2_40]) ).

cnf(refute_2_42,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_20,refute_2_41]) ).

cnf(refute_2_43,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_2_44,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_2_4,refute_2_43]) ).

cnf(refute_2_45,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(subst,[],[refute_2_44:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).

cnf(refute_2_46,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_2_42,refute_2_45]) ).

cnf(refute_2_47,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_2_38,refute_2_46]) ).

cnf(refute_2_48,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(subst,[],[refute_2_44:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).

cnf(refute_2_49,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_2_47,refute_2_48]) ).

cnf(refute_2_50,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_2_26,refute_2_49]) ).

cnf(refute_2_51,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
    | e21 = h4(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_2_52,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | e21 = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_2_50,refute_2_51]) ).

cnf(refute_2_53,plain,
    e21 = h4(e13),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_2_34,refute_2_52]) ).

cnf(refute_2_54,plain,
    ( e21 != h4(e13)
    | h4(e13) = e21 ),
    inference(subst,[],[refute_2_4:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).

cnf(refute_2_55,plain,
    h4(e13) = e21,
    inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_2_53,refute_2_54]) ).

cnf(refute_2_56,plain,
    ( h4(e13) != e20
    | h4(e13) != e21
    | e21 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),e20) ),[0],$fot(e21)]]) ).

cnf(refute_2_57,plain,
    ( h4(e13) != e20
    | e21 = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_2_55,refute_2_56]) ).

cnf(refute_2_58,plain,
    ( e21 = e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_2_33,refute_2_57]) ).

cnf(refute_2_59,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_2_14]) ).

cnf(refute_2_60,plain,
    ( e21 != e20
    | e20 = e21 ),
    inference(subst,[],[refute_2_4:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).

cnf(refute_2_61,plain,
    e21 != e20,
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_2_60,refute_2_59]) ).

cnf(refute_2_62,plain,
    h2(e13) = e20,
    inference(resolve,[$cnf( $equal(e21,e20) )],[refute_2_58,refute_2_61]) ).

cnf(refute_2_63,plain,
    op2(h2(e13),e21) = op2(h2(e13),e21),
    introduced(tautology,[refl,[$fot(op2(h2(e13),e21))]]) ).

cnf(refute_2_64,plain,
    ( h2(e13) != e20
    | op2(h2(e13),e21) != op2(h2(e13),e21)
    | op2(h2(e13),e21) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e21),op2(h2(e13),e21)) ),[1,0],$fot(e20)]]) ).

cnf(refute_2_65,plain,
    ( h2(e13) != e20
    | op2(h2(e13),e21) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),e21),op2(h2(e13),e21)) )],[refute_2_63,refute_2_64]) ).

cnf(refute_2_66,plain,
    op2(h2(e13),e21) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_2_62,refute_2_65]) ).

cnf(refute_2_67,plain,
    ( h2(e10) != op2(h2(e13),e21)
    | op2(h2(e13),e21) != op2(e20,e21)
    | h2(e10) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(e20,e21)) ),[0],$fot(op2(h2(e13),e21))]]) ).

cnf(refute_2_68,plain,
    ( h2(e10) != op2(h2(e13),e21)
    | h2(e10) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),e21),op2(e20,e21)) )],[refute_2_66,refute_2_67]) ).

cnf(refute_2_69,plain,
    h2(e10) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_2_13,refute_2_68]) ).

cnf(refute_2_70,plain,
    ( op2(e20,e20) = e23
    | op2(e20,e21) = e23
    | op2(e20,e22) = e23
    | op2(e20,e23) = e23 ),
    inference(canonicalize,[],[normalize_2_16]) ).

cnf(refute_2_71,plain,
    h1(e13) = op2(e20,e20),
    inference(canonicalize,[],[normalize_2_18]) ).

cnf(refute_2_72,plain,
    ( h1(e13) != op2(e20,e20)
    | op2(e20,e20) = h1(e13) ),
    inference(subst,[],[refute_2_4:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_2_73,plain,
    op2(e20,e20) = h1(e13),
    inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_2_71,refute_2_72]) ).

cnf(refute_2_74,plain,
    ( op2(e20,e20) != e23
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).

cnf(refute_2_75,plain,
    ( op2(e20,e20) != e23
    | h1(e13) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_73,refute_2_74]) ).

cnf(refute_2_76,plain,
    ( h1(e13) = e23
    | op2(e20,e21) = e23
    | op2(e20,e22) = e23
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_2_70,refute_2_75]) ).

cnf(refute_2_77,plain,
    op2(e20,e22) != op2(e22,e22),
    inference(canonicalize,[],[normalize_2_20]) ).

cnf(refute_2_78,plain,
    ( op2(e20,e22) != e23
    | op2(e22,e22) != e23
    | op2(e20,e22) = op2(e22,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).

cnf(refute_2_79,plain,
    ( op2(e20,e22) != e23
    | op2(e20,e22) = op2(e22,e22) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_20,refute_2_78]) ).

cnf(refute_2_80,plain,
    op2(e20,e22) != e23,
    inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_2_79,refute_2_77]) ).

cnf(refute_2_81,plain,
    ( h1(e13) = e23
    | op2(e20,e21) = e23
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_2_76,refute_2_80]) ).

cnf(refute_2_82,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(canonicalize,[],[normalize_2_23]) ).

cnf(refute_2_83,plain,
    ( e23 != e23
    | op2(e22,e22) != e23
    | op2(e22,e22) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(e23)]]) ).

cnf(refute_2_84,plain,
    ( e23 != e23
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_20,refute_2_83]) ).

cnf(refute_2_85,plain,
    ( e23 != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_84,refute_2_82]) ).

cnf(refute_2_86,plain,
    ( op2(e20,e20) != e22
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).

cnf(refute_2_87,plain,
    ( op2(e20,e20) != e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_73,refute_2_86]) ).

cnf(refute_2_88,plain,
    ( e23 != e23
    | h1(e13) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_2_85,refute_2_87]) ).

cnf(refute_2_89,plain,
    ( op2(e21,e21) != e22
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).

cnf(refute_2_90,plain,
    ( op2(e21,e21) != e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_6,refute_2_89]) ).

cnf(refute_2_91,plain,
    ( e23 != e23
    | h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_2_88,refute_2_90]) ).

cnf(refute_2_92,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_2_93,plain,
    ( h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_2_92,refute_2_91]) ).

cnf(refute_2_94,plain,
    ( h2(e13) != e20
    | h2(e13) != e22
    | e20 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[0],$fot(e20)]]) ).

cnf(refute_2_95,plain,
    ( h2(e13) != e22
    | e20 = e22 ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_2_62,refute_2_94]) ).

cnf(refute_2_96,plain,
    ( e20 = e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_2_93,refute_2_95]) ).

cnf(refute_2_97,plain,
    e20 != e22,
    inference(canonicalize,[],[normalize_2_24]) ).

cnf(refute_2_98,plain,
    h1(e13) = e22,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_2_96,refute_2_97]) ).

cnf(refute_2_99,plain,
    ( h1(e13) != e22
    | h1(e13) != e23
    | e22 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e13),e23) ),[0],$fot(e22)]]) ).

cnf(refute_2_100,plain,
    ( h1(e13) != e23
    | e22 = e23 ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_2_98,refute_2_99]) ).

cnf(refute_2_101,plain,
    ( e22 = e23
    | op2(e20,e21) = e23
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_2_81,refute_2_100]) ).

cnf(refute_2_102,plain,
    ( h2(e10) != op2(e20,e21)
    | op2(e20,e21) = h2(e10) ),
    inference(subst,[],[refute_2_4:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_2_103,plain,
    op2(e20,e21) = h2(e10),
    inference(resolve,[$cnf( $equal(h2(e10),op2(e20,e21)) )],[refute_2_69,refute_2_102]) ).

cnf(refute_2_104,plain,
    ( op2(e20,e21) != e23
    | op2(e20,e21) != h2(e10)
    | h2(e10) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[0],$fot(h2(e10))]]) ).

cnf(refute_2_105,plain,
    ( op2(e20,e21) != e23
    | h2(e10) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e10)) )],[refute_2_103,refute_2_104]) ).

cnf(refute_2_106,plain,
    ( e22 = e23
    | h2(e10) = e23
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_2_101,refute_2_105]) ).

cnf(refute_2_107,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_2_25]) ).

cnf(refute_2_108,plain,
    ( h2(e10) = e23
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_2_106,refute_2_107]) ).

cnf(refute_2_109,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(canonicalize,[],[normalize_2_26]) ).

cnf(refute_2_110,plain,
    ( op2(e20,e20) != e20
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).

cnf(refute_2_111,plain,
    ( op2(e20,e20) != e20
    | h1(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_73,refute_2_110]) ).

cnf(refute_2_112,plain,
    ( h1(e13) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_2_109,refute_2_111]) ).

cnf(refute_2_113,plain,
    ( h1(e13) != e20
    | h1(e13) != e22
    | e22 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[0],$fot(e22)]]) ).

cnf(refute_2_114,plain,
    ( h1(e13) != e20
    | e22 = e20 ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_2_98,refute_2_113]) ).

cnf(refute_2_115,plain,
    ( e22 = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_2_112,refute_2_114]) ).

cnf(refute_2_116,plain,
    ( op2(e20,e21) != e20
    | op2(e20,e21) != h2(e10)
    | h2(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[0],$fot(h2(e10))]]) ).

cnf(refute_2_117,plain,
    ( op2(e20,e21) != e20
    | h2(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e10)) )],[refute_2_103,refute_2_116]) ).

cnf(refute_2_118,plain,
    ( e22 = e20
    | h2(e10) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_2_115,refute_2_117]) ).

cnf(refute_2_119,plain,
    ( e22 != e20
    | e20 = e22 ),
    inference(subst,[],[refute_2_4:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).

cnf(refute_2_120,plain,
    e22 != e20,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_2_119,refute_2_97]) ).

cnf(refute_2_121,plain,
    ( h2(e10) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(e22,e20) )],[refute_2_118,refute_2_120]) ).

cnf(refute_2_122,plain,
    op2(e20,e21) != op2(e21,e21),
    inference(canonicalize,[],[normalize_2_27]) ).

cnf(refute_2_123,plain,
    ( op2(e20,e21) != h2(e13)
    | op2(e21,e21) != h2(e13)
    | op2(e20,e21) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e13))]]) ).

cnf(refute_2_124,plain,
    ( op2(e20,e21) != h2(e13)
    | op2(e20,e21) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_6,refute_2_123]) ).

cnf(refute_2_125,plain,
    op2(e20,e21) != h2(e13),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_2_124,refute_2_122]) ).

cnf(refute_2_126,plain,
    ( h2(e10) != h2(e13)
    | op2(e20,e21) != h2(e10)
    | op2(e20,e21) = h2(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),h2(e10)) ),[1],$fot(h2(e13))]]) ).

cnf(refute_2_127,plain,
    ( h2(e10) != h2(e13)
    | op2(e20,e21) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e10)) )],[refute_2_103,refute_2_126]) ).

cnf(refute_2_128,plain,
    ( h2(e10) != e20
    | h2(e13) != e20
    | h2(e10) = h2(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e13)) ),[1],$fot(e20)]]) ).

cnf(refute_2_129,plain,
    ( h2(e10) != e20
    | h2(e10) = h2(e13) ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_2_62,refute_2_128]) ).

cnf(refute_2_130,plain,
    ( h2(e10) != e20
    | op2(e20,e21) = h2(e13) ),
    inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_2_129,refute_2_127]) ).

cnf(refute_2_131,plain,
    h2(e10) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e13)) )],[refute_2_130,refute_2_125]) ).

cnf(refute_2_132,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(h2(e10),e20) )],[refute_2_121,refute_2_131]) ).

cnf(refute_2_133,plain,
    op2(e20,e22) != op2(e23,e22),
    inference(canonicalize,[],[normalize_2_28]) ).

cnf(refute_2_134,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(canonicalize,[],[normalize_2_29]) ).

cnf(refute_2_135,plain,
    op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).

cnf(refute_2_136,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).

cnf(refute_2_137,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),e22) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_2_135,refute_2_136]) ).

cnf(refute_2_138,plain,
    op2(op2(e22,e22),e22) = op2(e23,e22),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_20,refute_2_137]) ).

cnf(refute_2_139,plain,
    ( e20 != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) != op2(e23,e22)
    | e20 = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).

cnf(refute_2_140,plain,
    ( e20 != op2(op2(e22,e22),e22)
    | e20 = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_2_138,refute_2_139]) ).

cnf(refute_2_141,plain,
    e20 = op2(e23,e22),
    inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_2_134,refute_2_140]) ).

cnf(refute_2_142,plain,
    ( e20 != op2(e23,e22)
    | op2(e23,e22) = e20 ),
    inference(subst,[],[refute_2_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).

cnf(refute_2_143,plain,
    op2(e23,e22) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_2_141,refute_2_142]) ).

cnf(refute_2_144,plain,
    ( op2(e20,e22) != e20
    | op2(e23,e22) != e20
    | op2(e20,e22) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).

cnf(refute_2_145,plain,
    ( op2(e20,e22) != e20
    | op2(e20,e22) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_2_143,refute_2_144]) ).

cnf(refute_2_146,plain,
    op2(e20,e22) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_2_145,refute_2_133]) ).

cnf(refute_2_147,plain,
    op2(e20,e23) = e20,
    inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_2_132,refute_2_146]) ).

cnf(refute_2_148,plain,
    ( op2(e20,e23) != e20
    | op2(e20,e23) != e23
    | e20 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(e20)]]) ).

cnf(refute_2_149,plain,
    ( op2(e20,e23) != e23
    | e20 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_2_147,refute_2_148]) ).

cnf(refute_2_150,plain,
    ( e20 = e23
    | h2(e10) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_2_108,refute_2_149]) ).

cnf(refute_2_151,plain,
    h2(e10) = e23,
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_2_150,refute_2_30]) ).

cnf(refute_2_152,plain,
    ( h2(e10) != e23
    | h2(e10) != op2(e20,e21)
    | e23 = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(e20,e21)) ),[0],$fot(e23)]]) ).

cnf(refute_2_153,plain,
    ( h2(e10) != op2(e20,e21)
    | e23 = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(h2(e10),e23) )],[refute_2_151,refute_2_152]) ).

cnf(refute_2_154,plain,
    e23 = op2(e20,e21),
    inference(resolve,[$cnf( $equal(h2(e10),op2(e20,e21)) )],[refute_2_69,refute_2_153]) ).

cnf(refute_2_155,plain,
    h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
    inference(canonicalize,[],[normalize_2_36]) ).

cnf(refute_2_156,plain,
    h4(e12) = e23,
    inference(canonicalize,[],[normalize_2_37]) ).

cnf(refute_2_157,plain,
    ( op1(e12,e12) != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(canonicalize,[],[normalize_2_41]) ).

cnf(refute_2_158,plain,
    e13 = op1(e12,e12),
    inference(canonicalize,[],[normalize_2_43]) ).

cnf(refute_2_159,plain,
    ( e13 != op1(e12,e12)
    | op1(e12,e12) = e13 ),
    inference(subst,[],[refute_2_4:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).

cnf(refute_2_160,plain,
    op1(e12,e12) = e13,
    inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_2_158,refute_2_159]) ).

cnf(refute_2_161,plain,
    ( e13 != e13
    | op1(e12,e12) != e13
    | op1(e12,e12) = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(e13)]]) ).

cnf(refute_2_162,plain,
    ( e13 != e13
    | op1(e12,e12) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_160,refute_2_161]) ).

cnf(refute_2_163,plain,
    ( e13 != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_162,refute_2_157]) ).

cnf(refute_2_164,plain,
    e13 = e13,
    introduced(tautology,[refl,[$fot(e13)]]) ).

cnf(refute_2_165,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(resolve,[$cnf( $equal(e13,e13) )],[refute_2_164,refute_2_163]) ).

cnf(refute_2_166,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(canonicalize,[],[normalize_2_46]) ).

cnf(refute_2_167,plain,
    ( op1(e12,e12) != e10
    | op1(e12,e12) != e13
    | e13 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[0],$fot(e13)]]) ).

cnf(refute_2_168,plain,
    ( op1(e12,e12) != e10
    | e13 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_160,refute_2_167]) ).

cnf(refute_2_169,plain,
    ( e13 = e10
    | op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_2_166,refute_2_168]) ).

cnf(refute_2_170,plain,
    e10 != e13,
    inference(canonicalize,[],[normalize_2_48]) ).

cnf(refute_2_171,plain,
    ( e13 != e10
    | e10 = e13 ),
    inference(subst,[],[refute_2_4:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).

cnf(refute_2_172,plain,
    e13 != e10,
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_2_171,refute_2_170]) ).

cnf(refute_2_173,plain,
    ( op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(e13,e10) )],[refute_2_169,refute_2_172]) ).

cnf(refute_2_174,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(canonicalize,[],[normalize_2_49]) ).

cnf(refute_2_175,plain,
    op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).

cnf(refute_2_176,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).

cnf(refute_2_177,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_2_175,refute_2_176]) ).

cnf(refute_2_178,plain,
    op1(e13,op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_160,refute_2_177]) ).

cnf(refute_2_179,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_2_180,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).

cnf(refute_2_181,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_2_179,refute_2_180]) ).

cnf(refute_2_182,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_160,refute_2_181]) ).

cnf(refute_2_183,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(subst,[],[refute_2_44:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).

cnf(refute_2_184,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_2_182,refute_2_183]) ).

cnf(refute_2_185,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_2_178,refute_2_184]) ).

cnf(refute_2_186,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
    | e11 = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_2_187,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | e11 = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_2_185,refute_2_186]) ).

cnf(refute_2_188,plain,
    e11 = op1(e13,e13),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_2_174,refute_2_187]) ).

cnf(refute_2_189,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_2_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_2_190,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_2_188,refute_2_189]) ).

cnf(refute_2_191,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e13) != e11
    | e11 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).

cnf(refute_2_192,plain,
    ( op1(e13,e13) != e10
    | e11 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_2_190,refute_2_191]) ).

cnf(refute_2_193,plain,
    ( e11 = e10
    | op1(e11,e11) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_2_173,refute_2_192]) ).

cnf(refute_2_194,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_2_50]) ).

cnf(refute_2_195,plain,
    ( e11 != e10
    | e10 = e11 ),
    inference(subst,[],[refute_2_4:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).

cnf(refute_2_196,plain,
    e11 != e10,
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_2_195,refute_2_194]) ).

cnf(refute_2_197,plain,
    op1(e11,e11) = e10,
    inference(resolve,[$cnf( $equal(e11,e10) )],[refute_2_193,refute_2_196]) ).

cnf(refute_2_198,plain,
    ( op1(e11,e11) != e10
    | op1(e11,e11) != e12
    | e10 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[0],$fot(e10)]]) ).

cnf(refute_2_199,plain,
    ( op1(e11,e11) != e12
    | e10 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_2_197,refute_2_198]) ).

cnf(refute_2_200,plain,
    ( e10 = e12
    | op1(e10,e10) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_2_165,refute_2_199]) ).

cnf(refute_2_201,plain,
    e10 != e12,
    inference(canonicalize,[],[normalize_2_51]) ).

cnf(refute_2_202,plain,
    op1(e10,e10) = e12,
    inference(resolve,[$cnf( $equal(e10,e12) )],[refute_2_200,refute_2_201]) ).

cnf(refute_2_203,plain,
    h4(op1(e10,e10)) = h4(op1(e10,e10)),
    introduced(tautology,[refl,[$fot(h4(op1(e10,e10)))]]) ).

cnf(refute_2_204,plain,
    ( h4(op1(e10,e10)) != h4(op1(e10,e10))
    | op1(e10,e10) != e12
    | h4(op1(e10,e10)) = h4(e12) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) ),[1,0],$fot(e12)]]) ).

cnf(refute_2_205,plain,
    ( op1(e10,e10) != e12
    | h4(op1(e10,e10)) = h4(e12) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) )],[refute_2_203,refute_2_204]) ).

cnf(refute_2_206,plain,
    h4(op1(e10,e10)) = h4(e12),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_2_202,refute_2_205]) ).

cnf(refute_2_207,plain,
    ( h4(e12) != e23
    | h4(op1(e10,e10)) != h4(e12)
    | h4(op1(e10,e10)) = e23 ),
    inference(subst,[],[refute_2_44:[bind(X,$fot(h4(op1(e10,e10)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e23))]]) ).

cnf(refute_2_208,plain,
    ( h4(e12) != e23
    | h4(op1(e10,e10)) = e23 ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(e12)) )],[refute_2_206,refute_2_207]) ).

cnf(refute_2_209,plain,
    h4(op1(e10,e10)) = e23,
    inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_2_156,refute_2_208]) ).

cnf(refute_2_210,plain,
    ( h4(op1(e10,e10)) != e23
    | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | e23 = op2(h4(e10),h4(e10)) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[0],$fot(e23)]]) ).

cnf(refute_2_211,plain,
    ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | e23 = op2(h4(e10),h4(e10)) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e23) )],[refute_2_209,refute_2_210]) ).

cnf(refute_2_212,plain,
    e23 = op2(h4(e10),h4(e10)),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_2_155,refute_2_211]) ).

cnf(refute_2_213,plain,
    ( h4(e13) != e21
    | h4(e13) != op2(e23,e23)
    | e21 = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e23,e23)) ),[0],$fot(e21)]]) ).

cnf(refute_2_214,plain,
    ( h4(e13) != op2(e23,e23)
    | e21 = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_2_55,refute_2_213]) ).

cnf(refute_2_215,plain,
    e21 = op2(e23,e23),
    inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_2_24,refute_2_214]) ).

cnf(refute_2_216,plain,
    ( e21 != op2(e23,e23)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_2_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_2_217,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_2_215,refute_2_216]) ).

cnf(refute_2_218,plain,
    ( op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23
    | op2(e23,e23) = e23 ),
    inference(canonicalize,[],[normalize_2_52]) ).

cnf(refute_2_219,plain,
    ( op2(e23,e23) != e23
    | op2(e23,e23) != h4(e13)
    | h4(e13) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).

cnf(refute_2_220,plain,
    ( op2(e23,e23) != e23
    | h4(e13) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_2_26,refute_2_219]) ).

cnf(refute_2_221,plain,
    ( h4(e13) = e23
    | op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_2_218,refute_2_220]) ).

cnf(refute_2_222,plain,
    op2(e22,e22) != op2(e22,e23),
    inference(canonicalize,[],[normalize_2_53]) ).

cnf(refute_2_223,plain,
    ( e23 != op2(e22,e23)
    | op2(e22,e22) != e23
    | op2(e22,e22) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).

cnf(refute_2_224,plain,
    ( e23 != op2(e22,e23)
    | op2(e22,e22) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_20,refute_2_223]) ).

cnf(refute_2_225,plain,
    e23 != op2(e22,e23),
    inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_2_224,refute_2_222]) ).

cnf(refute_2_226,plain,
    ( op2(e22,e23) != e23
    | e23 = op2(e22,e23) ),
    inference(subst,[],[refute_2_4:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).

cnf(refute_2_227,plain,
    op2(e22,e23) != e23,
    inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_2_226,refute_2_225]) ).

cnf(refute_2_228,plain,
    ( h4(e13) = e23
    | op2(e20,e23) = e23
    | op2(e21,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_2_221,refute_2_227]) ).

cnf(refute_2_229,plain,
    ( h4(e13) != e21
    | h4(e13) != e23
    | e21 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e21)]]) ).

cnf(refute_2_230,plain,
    ( h4(e13) != e23
    | e21 = e23 ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_2_55,refute_2_229]) ).

cnf(refute_2_231,plain,
    ( e21 = e23
    | op2(e20,e23) = e23
    | op2(e21,e23) = e23 ),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_2_228,refute_2_230]) ).

cnf(refute_2_232,plain,
    h4(e10) = op2(op2(e23,e23),e23),
    inference(canonicalize,[],[normalize_2_54]) ).

cnf(refute_2_233,plain,
    op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).

cnf(refute_2_234,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
    | op2(op2(e23,e23),e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).

cnf(refute_2_235,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_2_233,refute_2_234]) ).

cnf(refute_2_236,plain,
    op2(op2(e23,e23),e23) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_217,refute_2_235]) ).

cnf(refute_2_237,plain,
    ( h4(e10) != op2(op2(e23,e23),e23)
    | op2(op2(e23,e23),e23) != op2(e21,e23)
    | h4(e10) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).

cnf(refute_2_238,plain,
    ( h4(e10) != op2(op2(e23,e23),e23)
    | h4(e10) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_2_236,refute_2_237]) ).

cnf(refute_2_239,plain,
    h4(e10) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_2_232,refute_2_238]) ).

cnf(refute_2_240,plain,
    ( h4(e10) != op2(e21,e23)
    | op2(e21,e23) = h4(e10) ),
    inference(subst,[],[refute_2_4:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_2_241,plain,
    op2(e21,e23) = h4(e10),
    inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_2_239,refute_2_240]) ).

cnf(refute_2_242,plain,
    ( op2(e21,e23) != e23
    | op2(e21,e23) != h4(e10)
    | h4(e10) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(h4(e10))]]) ).

cnf(refute_2_243,plain,
    ( op2(e21,e23) != e23
    | h4(e10) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_2_241,refute_2_242]) ).

cnf(refute_2_244,plain,
    ( e21 = e23
    | h4(e10) = e23
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_2_231,refute_2_243]) ).

cnf(refute_2_245,plain,
    e21 != e23,
    inference(canonicalize,[],[normalize_2_55]) ).

cnf(refute_2_246,plain,
    ( h4(e10) = e23
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_2_244,refute_2_245]) ).

cnf(refute_2_247,plain,
    ( e20 = e23
    | h4(e10) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_2_246,refute_2_149]) ).

cnf(refute_2_248,plain,
    h4(e10) = e23,
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_2_247,refute_2_30]) ).

cnf(refute_2_249,plain,
    op2(e23,h4(e10)) = op2(e23,h4(e10)),
    introduced(tautology,[refl,[$fot(op2(e23,h4(e10)))]]) ).

cnf(refute_2_250,plain,
    ( h4(e10) != e23
    | op2(e23,h4(e10)) != op2(e23,h4(e10))
    | op2(e23,h4(e10)) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) ),[1,1],$fot(e23)]]) ).

cnf(refute_2_251,plain,
    ( h4(e10) != e23
    | op2(e23,h4(e10)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) )],[refute_2_249,refute_2_250]) ).

cnf(refute_2_252,plain,
    op2(e23,h4(e10)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_2_248,refute_2_251]) ).

cnf(refute_2_253,plain,
    op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
    introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).

cnf(refute_2_254,plain,
    ( h4(e10) != e23
    | op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
    | op2(h4(e10),h4(e10)) = op2(e23,h4(e10)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e23)]]) ).

cnf(refute_2_255,plain,
    ( h4(e10) != e23
    | op2(h4(e10),h4(e10)) = op2(e23,h4(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_2_253,refute_2_254]) ).

cnf(refute_2_256,plain,
    op2(h4(e10),h4(e10)) = op2(e23,h4(e10)),
    inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_2_248,refute_2_255]) ).

cnf(refute_2_257,plain,
    ( op2(e23,h4(e10)) != op2(e23,e23)
    | op2(h4(e10),h4(e10)) != op2(e23,h4(e10))
    | op2(h4(e10),h4(e10)) = op2(e23,e23) ),
    inference(subst,[],[refute_2_44:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e23,h4(e10)))),bind(Z,$fot(op2(e23,e23)))]]) ).

cnf(refute_2_258,plain,
    ( op2(e23,h4(e10)) != op2(e23,e23)
    | op2(h4(e10),h4(e10)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e23,h4(e10))) )],[refute_2_256,refute_2_257]) ).

cnf(refute_2_259,plain,
    op2(h4(e10),h4(e10)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,e23)) )],[refute_2_252,refute_2_258]) ).

cnf(refute_2_260,plain,
    ( op2(e23,e23) != e21
    | op2(h4(e10),h4(e10)) != op2(e23,e23)
    | op2(h4(e10),h4(e10)) = e21 ),
    inference(subst,[],[refute_2_44:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(e21))]]) ).

cnf(refute_2_261,plain,
    ( op2(e23,e23) != e21
    | op2(h4(e10),h4(e10)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e23,e23)) )],[refute_2_259,refute_2_260]) ).

cnf(refute_2_262,plain,
    op2(h4(e10),h4(e10)) = e21,
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_2_217,refute_2_261]) ).

cnf(refute_2_263,plain,
    ( e23 != op2(h4(e10),h4(e10))
    | op2(h4(e10),h4(e10)) != e21
    | e23 = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e23,e21) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).

cnf(refute_2_264,plain,
    ( e23 != op2(h4(e10),h4(e10))
    | e23 = e21 ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),e21) )],[refute_2_262,refute_2_263]) ).

cnf(refute_2_265,plain,
    e23 = e21,
    inference(resolve,[$cnf( $equal(e23,op2(h4(e10),h4(e10))) )],[refute_2_212,refute_2_264]) ).

cnf(refute_2_266,plain,
    ( e23 != op2(e20,e21)
    | op2(e20,e21) = e23 ),
    inference(subst,[],[refute_2_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_2_267,plain,
    op2(e20,e21) = e23,
    inference(resolve,[$cnf( $equal(e23,op2(e20,e21)) )],[refute_2_154,refute_2_266]) ).

cnf(refute_2_268,plain,
    ( e23 != e21
    | op2(e20,e21) != e23
    | op2(e20,e21) = e21 ),
    inference(subst,[],[refute_2_44:[bind(X,$fot(op2(e20,e21))),bind(Y,$fot(e23)),bind(Z,$fot(e21))]]) ).

cnf(refute_2_269,plain,
    ( e23 != e21
    | op2(e20,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_2_267,refute_2_268]) ).

cnf(refute_2_270,plain,
    op2(e20,e21) = e21,
    inference(resolve,[$cnf( $equal(e23,e21) )],[refute_2_265,refute_2_269]) ).

cnf(refute_2_271,plain,
    op2(e20,e23) = op2(e20,e23),
    introduced(tautology,[refl,[$fot(op2(e20,e23))]]) ).

cnf(refute_2_272,plain,
    ( e23 != e21
    | op2(e20,e23) != op2(e20,e23)
    | op2(e20,e23) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),op2(e20,e23)) ),[1,1],$fot(e21)]]) ).

cnf(refute_2_273,plain,
    ( e23 != e21
    | op2(e20,e23) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e20,e23)) )],[refute_2_271,refute_2_272]) ).

cnf(refute_2_274,plain,
    op2(e20,e23) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(e23,e21) )],[refute_2_265,refute_2_273]) ).

cnf(refute_2_275,plain,
    ( op2(e20,e21) != e21
    | op2(e20,e23) != op2(e20,e21)
    | op2(e20,e23) = e21 ),
    inference(subst,[],[refute_2_44:[bind(X,$fot(op2(e20,e23))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(e21))]]) ).

cnf(refute_2_276,plain,
    ( op2(e20,e21) != e21
    | op2(e20,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e20,e21)) )],[refute_2_274,refute_2_275]) ).

cnf(refute_2_277,plain,
    op2(e20,e23) = e21,
    inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_2_270,refute_2_276]) ).

cnf(refute_2_278,plain,
    ( op2(e20,e23) != e20
    | op2(e20,e23) != e21
    | e21 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(e21)]]) ).

cnf(refute_2_279,plain,
    ( op2(e20,e23) != e20
    | e21 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_2_277,refute_2_278]) ).

cnf(refute_2_280,plain,
    e21 = e20,
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_2_147,refute_2_279]) ).

cnf(refute_2_281,plain,
    ( e21 != e20
    | e23 != e21
    | e23 = e20 ),
    inference(subst,[],[refute_2_44:[bind(X,$fot(e23)),bind(Y,$fot(e21)),bind(Z,$fot(e20))]]) ).

cnf(refute_2_282,plain,
    ( e21 != e20
    | e23 = e20 ),
    inference(resolve,[$cnf( $equal(e23,e21) )],[refute_2_265,refute_2_281]) ).

cnf(refute_2_283,plain,
    e23 = e20,
    inference(resolve,[$cnf( $equal(e21,e20) )],[refute_2_280,refute_2_282]) ).

cnf(refute_2_284,plain,
    ( e23 != e20
    | e23 != op2(e20,e21)
    | e20 = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(e23,op2(e20,e21)) ),[0],$fot(e20)]]) ).

cnf(refute_2_285,plain,
    ( e23 != op2(e20,e21)
    | e20 = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(e23,e20) )],[refute_2_283,refute_2_284]) ).

cnf(refute_2_286,plain,
    ( h1(e13) != e22
    | h1(e13) != op2(e20,e20)
    | e22 = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e13),op2(e20,e20)) ),[0],$fot(e22)]]) ).

cnf(refute_2_287,plain,
    ( h1(e13) != op2(e20,e20)
    | e22 = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_2_98,refute_2_286]) ).

cnf(refute_2_288,plain,
    e22 = op2(e20,e20),
    inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_2_71,refute_2_287]) ).

cnf(refute_2_289,plain,
    ( e22 != op2(e20,e20)
    | op2(e20,e20) = e22 ),
    inference(subst,[],[refute_2_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_2_290,plain,
    op2(e20,e20) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e20)) )],[refute_2_288,refute_2_289]) ).

cnf(refute_2_291,plain,
    op2(e20,e21) = op2(e20,e21),
    introduced(tautology,[refl,[$fot(op2(e20,e21))]]) ).

cnf(refute_2_292,plain,
    ( e21 != e20
    | op2(e20,e21) != op2(e20,e21)
    | op2(e20,e21) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),op2(e20,e21)) ),[1,1],$fot(e20)]]) ).

cnf(refute_2_293,plain,
    ( e21 != e20
    | op2(e20,e21) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e21)) )],[refute_2_291,refute_2_292]) ).

cnf(refute_2_294,plain,
    op2(e20,e21) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(e21,e20) )],[refute_2_280,refute_2_293]) ).

cnf(refute_2_295,plain,
    ( op2(e20,e20) != e22
    | op2(e20,e21) != op2(e20,e20)
    | op2(e20,e21) = e22 ),
    inference(subst,[],[refute_2_44:[bind(X,$fot(op2(e20,e21))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e22))]]) ).

cnf(refute_2_296,plain,
    ( op2(e20,e20) != e22
    | op2(e20,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e20)) )],[refute_2_294,refute_2_295]) ).

cnf(refute_2_297,plain,
    op2(e20,e21) = e22,
    inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_2_290,refute_2_296]) ).

cnf(refute_2_298,plain,
    ( e20 != op2(e20,e21)
    | op2(e20,e21) != e22
    | e20 = e22 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e20,e22) ),[0],$fot(op2(e20,e21))]]) ).

cnf(refute_2_299,plain,
    ( e20 != op2(e20,e21)
    | e20 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e22) )],[refute_2_297,refute_2_298]) ).

cnf(refute_2_300,plain,
    ( e23 != op2(e20,e21)
    | e20 = e22 ),
    inference(resolve,[$cnf( $equal(e20,op2(e20,e21)) )],[refute_2_285,refute_2_299]) ).

cnf(refute_2_301,plain,
    e20 = e22,
    inference(resolve,[$cnf( $equal(e23,op2(e20,e21)) )],[refute_2_154,refute_2_300]) ).

cnf(refute_2_302,plain,
    $false,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_2_301,refute_2_97]) ).

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

fof(normalize_3_1,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(conjunct,[],[normalize_3_0]) ).

fof(normalize_3_2,plain,
    ( h1(e10) = op2(op2(e20,e20),e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = e20
    & h1(e13) = op2(e20,e20) ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_3_3,plain,
    h1(e13) = op2(e20,e20),
    inference(conjunct,[],[normalize_3_2]) ).

fof(normalize_3_4,plain,
    ( ( ( op2(e20,e20) != e21
        & op2(e21,e21) = e20 )
      | ( op2(e20,e20) != e22
        & op2(e22,e22) = e20 )
      | ( op2(e20,e20) != e23
        & op2(e23,e23) = e20 ) )
    & ( ( op2(e21,e21) != e20
        & op2(e20,e20) = e21 )
      | ( op2(e21,e21) != e22
        & op2(e22,e22) = e21 )
      | ( op2(e21,e21) != e23
        & op2(e23,e23) = e21 ) )
    & ( ( op2(e22,e22) != e20
        & op2(e20,e20) = e22 )
      | ( op2(e22,e22) != e21
        & op2(e21,e21) = e22 )
      | ( op2(e22,e22) != e23
        & op2(e23,e23) = e22 ) )
    & ( ( op2(e23,e23) != e20
        & op2(e20,e20) = e23 )
      | ( op2(e23,e23) != e21
        & op2(e21,e21) = e23 )
      | ( op2(e23,e23) != e22
        & op2(e22,e22) = e23 ) ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_3_5,plain,
    ( ( op2(e22,e22) != e20
      & op2(e20,e20) = e22 )
    | ( op2(e22,e22) != e21
      & op2(e21,e21) = e22 )
    | ( op2(e22,e22) != e23
      & op2(e23,e23) = e22 ) ),
    inference(conjunct,[],[normalize_3_4]) ).

fof(normalize_3_6,plain,
    ( ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e23
      | op2(e21,e21) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e22) != e23
      | op2(e20,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e20,e20) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e20,e20) = e22
      | op2(e21,e21) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 ) ),
    inference(clausify,[],[normalize_3_5]) ).

fof(normalize_3_7,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(conjunct,[],[normalize_3_6]) ).

fof(normalize_3_8,plain,
    ( e20 = op2(op2(e22,e22),e22)
    & e21 = op2(op2(e22,e22),op2(e22,e22))
    & e23 = op2(e22,e22) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_3_9,plain,
    e23 = op2(e22,e22),
    inference(conjunct,[],[normalize_3_8]) ).

fof(normalize_3_10,plain,
    ( h2(e10) = op2(op2(e21,e21),e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = e21
    & h2(e13) = op2(e21,e21) ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_3_11,plain,
    h2(e13) = op2(e21,e21),
    inference(conjunct,[],[normalize_3_10]) ).

fof(normalize_3_12,plain,
    ( ( op2(e20,e20) != e21
      & op2(e21,e21) = e20 )
    | ( op2(e20,e20) != e22
      & op2(e22,e22) = e20 )
    | ( op2(e20,e20) != e23
      & op2(e23,e23) = e20 ) ),
    inference(conjunct,[],[normalize_3_4]) ).

fof(normalize_3_13,plain,
    ( ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e20,e20) != e23 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e23
      | op2(e22,e22) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e20) != e23
      | op2(e21,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e21) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e21) = e20
      | op2(e22,e22) = e20 )
    & ( op2(e21,e21) = e20
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 ) ),
    inference(clausify,[],[normalize_3_12]) ).

fof(normalize_3_14,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(conjunct,[],[normalize_3_13]) ).

fof(normalize_3_15,plain,
    ( h4(e10) = op2(op2(e23,e23),e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = e23
    & h4(e13) = op2(e23,e23) ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_3_16,plain,
    h4(e13) = op2(e23,e23),
    inference(conjunct,[],[normalize_3_15]) ).

fof(normalize_3_17,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_3_18,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_3_17]) ).

fof(normalize_3_19,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(conjunct,[],[normalize_3_8]) ).

fof(normalize_3_20,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_3_17]) ).

fof(normalize_3_21,plain,
    e20 != e22,
    inference(conjunct,[],[normalize_3_17]) ).

fof(normalize_3_22,plain,
    h2(e10) = op2(op2(e21,e21),e21),
    inference(conjunct,[],[normalize_3_10]) ).

fof(normalize_3_23,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_24,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e22) = e21
    | op2(e20,e22) = e22
    | op2(e20,e22) = e23 ),
    inference(conjunct,[],[normalize_3_23]) ).

fof(normalize_3_25,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_26,plain,
    op2(e20,e22) != op2(e22,e22),
    inference(conjunct,[],[normalize_3_25]) ).

fof(normalize_3_27,plain,
    op2(e20,e22) != op2(e23,e22),
    inference(conjunct,[],[normalize_3_25]) ).

fof(normalize_3_28,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(conjunct,[],[normalize_3_8]) ).

fof(normalize_3_29,plain,
    op2(e20,e20) != op2(e20,e22),
    inference(conjunct,[],[normalize_3_25]) ).

fof(normalize_3_30,plain,
    op2(e20,e21) != op2(e21,e21),
    inference(conjunct,[],[normalize_3_25]) ).

fof(normalize_3_31,plain,
    op2(e20,e23) != op2(e22,e23),
    inference(conjunct,[],[normalize_3_25]) ).

fof(normalize_3_32,plain,
    ( op2(e22,e20) = e20
    | op2(e22,e21) = e20
    | op2(e22,e22) = e20
    | op2(e22,e23) = e20 ),
    inference(conjunct,[],[normalize_3_0]) ).

fof(normalize_3_33,plain,
    h1(e10) = op2(op2(e20,e20),e20),
    inference(conjunct,[],[normalize_3_2]) ).

fof(normalize_3_34,plain,
    op2(e21,e21) != op2(e22,e21),
    inference(conjunct,[],[normalize_3_25]) ).

fof(normalize_3_35,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_36,plain,
    h1(e12) = e20,
    inference(conjunct,[],[normalize_3_2]) ).

fof(normalize_3_37,plain,
    h2(e12) = e21,
    inference(conjunct,[],[normalize_3_10]) ).

fof(normalize_3_38,plain,
    ( h3(e10) = op2(op2(e22,e22),e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = e22
    & h3(e13) = op2(e22,e22) ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_3_39,plain,
    h3(e12) = e22,
    inference(conjunct,[],[normalize_3_38]) ).

fof(normalize_3_40,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_35,normalize_3_36,normalize_3_37,normalize_3_39]) ).

fof(normalize_3_41,plain,
    h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
    inference(conjunct,[],[normalize_3_40]) ).

fof(normalize_3_42,plain,
    h4(e12) = e23,
    inference(conjunct,[],[normalize_3_15]) ).

fof(normalize_3_43,plain,
    ( ( ( op1(e10,e10) != e11
        & op1(e11,e11) = e10 )
      | ( op1(e10,e10) != e12
        & op1(e12,e12) = e10 )
      | ( op1(e10,e10) != e13
        & op1(e13,e13) = e10 ) )
    & ( ( op1(e11,e11) != e10
        & op1(e10,e10) = e11 )
      | ( op1(e11,e11) != e12
        & op1(e12,e12) = e11 )
      | ( op1(e11,e11) != e13
        & op1(e13,e13) = e11 ) )
    & ( ( op1(e12,e12) != e10
        & op1(e10,e10) = e12 )
      | ( op1(e12,e12) != e11
        & op1(e11,e11) = e12 )
      | ( op1(e12,e12) != e13
        & op1(e13,e13) = e12 ) )
    & ( ( op1(e13,e13) != e10
        & op1(e10,e10) = e13 )
      | ( op1(e13,e13) != e11
        & op1(e11,e11) = e13 )
      | ( op1(e13,e13) != e12
        & op1(e12,e12) = e13 ) ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_3_44,plain,
    ( ( op1(e12,e12) != e10
      & op1(e10,e10) = e12 )
    | ( op1(e12,e12) != e11
      & op1(e11,e11) = e12 )
    | ( op1(e12,e12) != e13
      & op1(e13,e13) = e12 ) ),
    inference(conjunct,[],[normalize_3_43]) ).

fof(normalize_3_45,plain,
    ( ( op1(e12,e12) != e10
      | op1(e12,e12) != e11
      | op1(e12,e12) != e13 )
    & ( op1(e12,e12) != e10
      | op1(e12,e12) != e11
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e10
      | op1(e12,e12) != e13
      | op1(e11,e11) = e12 )
    & ( op1(e12,e12) != e10
      | op1(e11,e11) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e12) != e13
      | op1(e10,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e10,e10) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e10,e10) = e12
      | op1(e11,e11) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e11) = e12
      | op1(e13,e13) = e12 ) ),
    inference(clausify,[],[normalize_3_44]) ).

fof(normalize_3_46,plain,
    ( op1(e12,e12) != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(conjunct,[],[normalize_3_45]) ).

fof(normalize_3_47,plain,
    ( e10 = op1(op1(e12,e12),e12)
    & e11 = op1(op1(e12,e12),op1(e12,e12))
    & e13 = op1(e12,e12) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_3_48,plain,
    e13 = op1(e12,e12),
    inference(conjunct,[],[normalize_3_47]) ).

fof(normalize_3_49,plain,
    ( ( op1(e10,e10) != e11
      & op1(e11,e11) = e10 )
    | ( op1(e10,e10) != e12
      & op1(e12,e12) = e10 )
    | ( op1(e10,e10) != e13
      & op1(e13,e13) = e10 ) ),
    inference(conjunct,[],[normalize_3_43]) ).

fof(normalize_3_50,plain,
    ( ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e10,e10) != e13 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e13
      | op1(e12,e12) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e10) != e13
      | op1(e11,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e11) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e11) = e10
      | op1(e12,e12) = e10 )
    & ( op1(e11,e11) = e10
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 ) ),
    inference(clausify,[],[normalize_3_49]) ).

fof(normalize_3_51,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(conjunct,[],[normalize_3_50]) ).

fof(normalize_3_52,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_3_53,plain,
    e10 != e13,
    inference(conjunct,[],[normalize_3_52]) ).

fof(normalize_3_54,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(conjunct,[],[normalize_3_47]) ).

fof(normalize_3_55,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_3_52]) ).

fof(normalize_3_56,plain,
    e10 != e12,
    inference(conjunct,[],[normalize_3_52]) ).

fof(normalize_3_57,plain,
    ( op2(e21,e20) = e23
    | op2(e21,e21) = e23
    | op2(e21,e22) = e23
    | op2(e21,e23) = e23 ),
    inference(conjunct,[],[normalize_3_0]) ).

fof(normalize_3_58,plain,
    op2(e21,e22) != op2(e22,e22),
    inference(conjunct,[],[normalize_3_25]) ).

fof(normalize_3_59,plain,
    h4(e10) = op2(op2(e23,e23),e23),
    inference(conjunct,[],[normalize_3_15]) ).

fof(normalize_3_60,plain,
    ( op2(e20,e20) = e21
    | op2(e21,e20) = e21
    | op2(e22,e20) = e21
    | op2(e23,e20) = e21 ),
    inference(conjunct,[],[normalize_3_0]) ).

fof(normalize_3_61,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_3_17]) ).

fof(normalize_3_62,plain,
    op2(e23,e20) != op2(e23,e23),
    inference(conjunct,[],[normalize_3_25]) ).

fof(normalize_3_63,plain,
    e21 != e23,
    inference(conjunct,[],[normalize_3_17]) ).

cnf(refute_3_0,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(canonicalize,[],[normalize_3_1]) ).

cnf(refute_3_1,plain,
    h1(e13) = op2(e20,e20),
    inference(canonicalize,[],[normalize_3_3]) ).

cnf(refute_3_2,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_3_3,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_3_4,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_3_2,refute_3_3]) ).

cnf(refute_3_5,plain,
    ( h1(e13) != op2(e20,e20)
    | op2(e20,e20) = h1(e13) ),
    inference(subst,[],[refute_3_4:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_3_6,plain,
    op2(e20,e20) = h1(e13),
    inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_3_1,refute_3_5]) ).

cnf(refute_3_7,plain,
    ( op2(e20,e20) != e20
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).

cnf(refute_3_8,plain,
    ( op2(e20,e20) != e20
    | h1(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_3_6,refute_3_7]) ).

cnf(refute_3_9,plain,
    ( h1(e13) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_3_0,refute_3_8]) ).

cnf(refute_3_10,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(canonicalize,[],[normalize_3_7]) ).

cnf(refute_3_11,plain,
    e23 = op2(e22,e22),
    inference(canonicalize,[],[normalize_3_9]) ).

cnf(refute_3_12,plain,
    ( e23 != op2(e22,e22)
    | op2(e22,e22) = e23 ),
    inference(subst,[],[refute_3_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_3_13,plain,
    op2(e22,e22) = e23,
    inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_3_11,refute_3_12]) ).

cnf(refute_3_14,plain,
    ( e23 != e23
    | op2(e22,e22) != e23
    | op2(e22,e22) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(e23)]]) ).

cnf(refute_3_15,plain,
    ( e23 != e23
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_13,refute_3_14]) ).

cnf(refute_3_16,plain,
    ( e23 != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_15,refute_3_10]) ).

cnf(refute_3_17,plain,
    ( op2(e20,e20) != e22
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).

cnf(refute_3_18,plain,
    ( op2(e20,e20) != e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_3_6,refute_3_17]) ).

cnf(refute_3_19,plain,
    ( e23 != e23
    | h1(e13) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_3_16,refute_3_18]) ).

cnf(refute_3_20,plain,
    h2(e13) = op2(e21,e21),
    inference(canonicalize,[],[normalize_3_11]) ).

cnf(refute_3_21,plain,
    ( h2(e13) != op2(e21,e21)
    | op2(e21,e21) = h2(e13) ),
    inference(subst,[],[refute_3_4:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_3_22,plain,
    op2(e21,e21) = h2(e13),
    inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_3_20,refute_3_21]) ).

cnf(refute_3_23,plain,
    ( op2(e21,e21) != e22
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).

cnf(refute_3_24,plain,
    ( op2(e21,e21) != e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_3_22,refute_3_23]) ).

cnf(refute_3_25,plain,
    ( e23 != e23
    | h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_3_19,refute_3_24]) ).

cnf(refute_3_26,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_3_27,plain,
    ( h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_3_26,refute_3_25]) ).

cnf(refute_3_28,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(canonicalize,[],[normalize_3_14]) ).

cnf(refute_3_29,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).

cnf(refute_3_30,plain,
    ( op2(e21,e21) != e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_3_22,refute_3_29]) ).

cnf(refute_3_31,plain,
    ( h2(e13) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_3_28,refute_3_30]) ).

cnf(refute_3_32,plain,
    ( op2(e22,e22) != e20
    | op2(e22,e22) != e23
    | e23 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).

cnf(refute_3_33,plain,
    ( op2(e22,e22) != e20
    | e23 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_13,refute_3_32]) ).

cnf(refute_3_34,plain,
    ( e23 = e20
    | h2(e13) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_3_31,refute_3_33]) ).

cnf(refute_3_35,plain,
    h4(e13) = op2(e23,e23),
    inference(canonicalize,[],[normalize_3_16]) ).

cnf(refute_3_36,plain,
    ( h4(e13) != op2(e23,e23)
    | op2(e23,e23) = h4(e13) ),
    inference(subst,[],[refute_3_4:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_3_37,plain,
    op2(e23,e23) = h4(e13),
    inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_3_35,refute_3_36]) ).

cnf(refute_3_38,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e23) != h4(e13)
    | h4(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(h4(e13))]]) ).

cnf(refute_3_39,plain,
    ( op2(e23,e23) != e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_3_37,refute_3_38]) ).

cnf(refute_3_40,plain,
    ( e23 = e20
    | h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_3_34,refute_3_39]) ).

cnf(refute_3_41,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_3_18]) ).

cnf(refute_3_42,plain,
    ( e23 != e20
    | e20 = e23 ),
    inference(subst,[],[refute_3_4:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).

cnf(refute_3_43,plain,
    e23 != e20,
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_3_42,refute_3_41]) ).

cnf(refute_3_44,plain,
    ( h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(e23,e20) )],[refute_3_40,refute_3_43]) ).

cnf(refute_3_45,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(canonicalize,[],[normalize_3_19]) ).

cnf(refute_3_46,plain,
    op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).

cnf(refute_3_47,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).

cnf(refute_3_48,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_3_46,refute_3_47]) ).

cnf(refute_3_49,plain,
    op2(e23,op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_13,refute_3_48]) ).

cnf(refute_3_50,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_3_51,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).

cnf(refute_3_52,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_3_50,refute_3_51]) ).

cnf(refute_3_53,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_13,refute_3_52]) ).

cnf(refute_3_54,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_3_55,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_3_4,refute_3_54]) ).

cnf(refute_3_56,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(subst,[],[refute_3_55:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).

cnf(refute_3_57,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_3_53,refute_3_56]) ).

cnf(refute_3_58,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_3_49,refute_3_57]) ).

cnf(refute_3_59,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(subst,[],[refute_3_55:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).

cnf(refute_3_60,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_3_58,refute_3_59]) ).

cnf(refute_3_61,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_3_37,refute_3_60]) ).

cnf(refute_3_62,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
    | e21 = h4(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_3_63,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | e21 = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_3_61,refute_3_62]) ).

cnf(refute_3_64,plain,
    e21 = h4(e13),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_3_45,refute_3_63]) ).

cnf(refute_3_65,plain,
    ( e21 != h4(e13)
    | h4(e13) = e21 ),
    inference(subst,[],[refute_3_4:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).

cnf(refute_3_66,plain,
    h4(e13) = e21,
    inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_3_64,refute_3_65]) ).

cnf(refute_3_67,plain,
    ( h4(e13) != e20
    | h4(e13) != e21
    | e21 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),e20) ),[0],$fot(e21)]]) ).

cnf(refute_3_68,plain,
    ( h4(e13) != e20
    | e21 = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_3_66,refute_3_67]) ).

cnf(refute_3_69,plain,
    ( e21 = e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_3_44,refute_3_68]) ).

cnf(refute_3_70,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_3_20]) ).

cnf(refute_3_71,plain,
    ( e21 != e20
    | e20 = e21 ),
    inference(subst,[],[refute_3_4:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).

cnf(refute_3_72,plain,
    e21 != e20,
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_3_71,refute_3_70]) ).

cnf(refute_3_73,plain,
    h2(e13) = e20,
    inference(resolve,[$cnf( $equal(e21,e20) )],[refute_3_69,refute_3_72]) ).

cnf(refute_3_74,plain,
    ( h2(e13) != e20
    | h2(e13) != e22
    | e20 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[0],$fot(e20)]]) ).

cnf(refute_3_75,plain,
    ( h2(e13) != e22
    | e20 = e22 ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_3_73,refute_3_74]) ).

cnf(refute_3_76,plain,
    ( e20 = e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_3_27,refute_3_75]) ).

cnf(refute_3_77,plain,
    e20 != e22,
    inference(canonicalize,[],[normalize_3_21]) ).

cnf(refute_3_78,plain,
    h1(e13) = e22,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_3_76,refute_3_77]) ).

cnf(refute_3_79,plain,
    ( h1(e13) != e20
    | h1(e13) != e22
    | e22 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[0],$fot(e22)]]) ).

cnf(refute_3_80,plain,
    ( h1(e13) != e20
    | e22 = e20 ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_3_78,refute_3_79]) ).

cnf(refute_3_81,plain,
    ( e22 = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_3_9,refute_3_80]) ).

cnf(refute_3_82,plain,
    h2(e10) = op2(op2(e21,e21),e21),
    inference(canonicalize,[],[normalize_3_22]) ).

cnf(refute_3_83,plain,
    op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
    introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).

cnf(refute_3_84,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
    | op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h2(e13))]]) ).

cnf(refute_3_85,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_3_83,refute_3_84]) ).

cnf(refute_3_86,plain,
    op2(op2(e21,e21),e21) = op2(h2(e13),e21),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_3_22,refute_3_85]) ).

cnf(refute_3_87,plain,
    ( h2(e10) != op2(op2(e21,e21),e21)
    | op2(op2(e21,e21),e21) != op2(h2(e13),e21)
    | h2(e10) = op2(h2(e13),e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(h2(e13),e21)) ),[0],$fot(op2(op2(e21,e21),e21))]]) ).

cnf(refute_3_88,plain,
    ( h2(e10) != op2(op2(e21,e21),e21)
    | h2(e10) = op2(h2(e13),e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h2(e13),e21)) )],[refute_3_86,refute_3_87]) ).

cnf(refute_3_89,plain,
    h2(e10) = op2(h2(e13),e21),
    inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),e21)) )],[refute_3_82,refute_3_88]) ).

cnf(refute_3_90,plain,
    op2(h2(e13),e21) = op2(h2(e13),e21),
    introduced(tautology,[refl,[$fot(op2(h2(e13),e21))]]) ).

cnf(refute_3_91,plain,
    ( h2(e13) != e20
    | op2(h2(e13),e21) != op2(h2(e13),e21)
    | op2(h2(e13),e21) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e21),op2(h2(e13),e21)) ),[1,0],$fot(e20)]]) ).

cnf(refute_3_92,plain,
    ( h2(e13) != e20
    | op2(h2(e13),e21) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),e21),op2(h2(e13),e21)) )],[refute_3_90,refute_3_91]) ).

cnf(refute_3_93,plain,
    op2(h2(e13),e21) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_3_73,refute_3_92]) ).

cnf(refute_3_94,plain,
    ( h2(e10) != op2(h2(e13),e21)
    | op2(h2(e13),e21) != op2(e20,e21)
    | h2(e10) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(e20,e21)) ),[0],$fot(op2(h2(e13),e21))]]) ).

cnf(refute_3_95,plain,
    ( h2(e10) != op2(h2(e13),e21)
    | h2(e10) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),e21),op2(e20,e21)) )],[refute_3_93,refute_3_94]) ).

cnf(refute_3_96,plain,
    h2(e10) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_3_89,refute_3_95]) ).

cnf(refute_3_97,plain,
    ( h2(e10) != op2(e20,e21)
    | op2(e20,e21) = h2(e10) ),
    inference(subst,[],[refute_3_4:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_3_98,plain,
    op2(e20,e21) = h2(e10),
    inference(resolve,[$cnf( $equal(h2(e10),op2(e20,e21)) )],[refute_3_96,refute_3_97]) ).

cnf(refute_3_99,plain,
    ( op2(e20,e21) != e20
    | op2(e20,e21) != h2(e10)
    | h2(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[0],$fot(h2(e10))]]) ).

cnf(refute_3_100,plain,
    ( op2(e20,e21) != e20
    | h2(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e10)) )],[refute_3_98,refute_3_99]) ).

cnf(refute_3_101,plain,
    ( e22 = e20
    | h2(e10) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_3_81,refute_3_100]) ).

cnf(refute_3_102,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e22) = e21
    | op2(e20,e22) = e22
    | op2(e20,e22) = e23 ),
    inference(canonicalize,[],[normalize_3_24]) ).

cnf(refute_3_103,plain,
    op2(e20,e22) != op2(e22,e22),
    inference(canonicalize,[],[normalize_3_26]) ).

cnf(refute_3_104,plain,
    ( op2(e20,e22) != e23
    | op2(e22,e22) != e23
    | op2(e20,e22) = op2(e22,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).

cnf(refute_3_105,plain,
    ( op2(e20,e22) != e23
    | op2(e20,e22) = op2(e22,e22) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_13,refute_3_104]) ).

cnf(refute_3_106,plain,
    op2(e20,e22) != e23,
    inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_3_105,refute_3_103]) ).

cnf(refute_3_107,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e22) = e21
    | op2(e20,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_3_102,refute_3_106]) ).

cnf(refute_3_108,plain,
    op2(e20,e22) != op2(e23,e22),
    inference(canonicalize,[],[normalize_3_27]) ).

cnf(refute_3_109,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(canonicalize,[],[normalize_3_28]) ).

cnf(refute_3_110,plain,
    op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).

cnf(refute_3_111,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).

cnf(refute_3_112,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),e22) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_3_110,refute_3_111]) ).

cnf(refute_3_113,plain,
    op2(op2(e22,e22),e22) = op2(e23,e22),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_13,refute_3_112]) ).

cnf(refute_3_114,plain,
    ( e20 != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) != op2(e23,e22)
    | e20 = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).

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

cnf(refute_3_116,plain,
    e20 = op2(e23,e22),
    inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_3_109,refute_3_115]) ).

cnf(refute_3_117,plain,
    ( e20 != op2(e23,e22)
    | op2(e23,e22) = e20 ),
    inference(subst,[],[refute_3_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).

cnf(refute_3_118,plain,
    op2(e23,e22) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_3_116,refute_3_117]) ).

cnf(refute_3_119,plain,
    ( op2(e20,e22) != e20
    | op2(e23,e22) != e20
    | op2(e20,e22) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).

cnf(refute_3_120,plain,
    ( op2(e20,e22) != e20
    | op2(e20,e22) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_3_118,refute_3_119]) ).

cnf(refute_3_121,plain,
    op2(e20,e22) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_3_120,refute_3_108]) ).

cnf(refute_3_122,plain,
    ( op2(e20,e22) = e21
    | op2(e20,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_3_107,refute_3_121]) ).

cnf(refute_3_123,plain,
    op2(e20,e20) != op2(e20,e22),
    inference(canonicalize,[],[normalize_3_29]) ).

cnf(refute_3_124,plain,
    ( h1(e13) != op2(e20,e22)
    | op2(e20,e20) != h1(e13)
    | op2(e20,e20) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).

cnf(refute_3_125,plain,
    ( h1(e13) != op2(e20,e22)
    | op2(e20,e20) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_3_6,refute_3_124]) ).

cnf(refute_3_126,plain,
    h1(e13) != op2(e20,e22),
    inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_3_125,refute_3_123]) ).

cnf(refute_3_127,plain,
    ( e22 != op2(e20,e22)
    | h1(e13) != e22
    | h1(e13) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[1],$fot(op2(e20,e22))]]) ).

cnf(refute_3_128,plain,
    ( e22 != op2(e20,e22)
    | h1(e13) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_3_78,refute_3_127]) ).

cnf(refute_3_129,plain,
    e22 != op2(e20,e22),
    inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_3_128,refute_3_126]) ).

cnf(refute_3_130,plain,
    ( op2(e20,e22) != e22
    | e22 = op2(e20,e22) ),
    inference(subst,[],[refute_3_4:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(e22))]]) ).

cnf(refute_3_131,plain,
    op2(e20,e22) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e22)) )],[refute_3_130,refute_3_129]) ).

cnf(refute_3_132,plain,
    op2(e20,e22) = e21,
    inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_3_122,refute_3_131]) ).

cnf(refute_3_133,plain,
    ( op2(e20,e22) != e20
    | op2(e20,e22) != e21
    | e21 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[0],$fot(e21)]]) ).

cnf(refute_3_134,plain,
    ( op2(e20,e22) != e20
    | e21 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_3_132,refute_3_133]) ).

cnf(refute_3_135,plain,
    ( e21 = e20
    | e22 = e20
    | h2(e10) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_3_101,refute_3_134]) ).

cnf(refute_3_136,plain,
    ( e22 = e20
    | h2(e10) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(e21,e20) )],[refute_3_135,refute_3_72]) ).

cnf(refute_3_137,plain,
    ( e22 != e20
    | e20 = e22 ),
    inference(subst,[],[refute_3_4:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).

cnf(refute_3_138,plain,
    e22 != e20,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_3_137,refute_3_77]) ).

cnf(refute_3_139,plain,
    ( h2(e10) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(e22,e20) )],[refute_3_136,refute_3_138]) ).

cnf(refute_3_140,plain,
    op2(e20,e21) != op2(e21,e21),
    inference(canonicalize,[],[normalize_3_30]) ).

cnf(refute_3_141,plain,
    ( op2(e20,e21) != h2(e13)
    | op2(e21,e21) != h2(e13)
    | op2(e20,e21) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e13))]]) ).

cnf(refute_3_142,plain,
    ( op2(e20,e21) != h2(e13)
    | op2(e20,e21) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_3_22,refute_3_141]) ).

cnf(refute_3_143,plain,
    op2(e20,e21) != h2(e13),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_3_142,refute_3_140]) ).

cnf(refute_3_144,plain,
    ( h2(e10) != h2(e13)
    | op2(e20,e21) != h2(e10)
    | op2(e20,e21) = h2(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),h2(e10)) ),[1],$fot(h2(e13))]]) ).

cnf(refute_3_145,plain,
    ( h2(e10) != h2(e13)
    | op2(e20,e21) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e10)) )],[refute_3_98,refute_3_144]) ).

cnf(refute_3_146,plain,
    ( h2(e10) != e20
    | h2(e13) != e20
    | h2(e10) = h2(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e13)) ),[1],$fot(e20)]]) ).

cnf(refute_3_147,plain,
    ( h2(e10) != e20
    | h2(e10) = h2(e13) ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_3_73,refute_3_146]) ).

cnf(refute_3_148,plain,
    ( h2(e10) != e20
    | op2(e20,e21) = h2(e13) ),
    inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_3_147,refute_3_145]) ).

cnf(refute_3_149,plain,
    h2(e10) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e13)) )],[refute_3_148,refute_3_143]) ).

cnf(refute_3_150,plain,
    op2(e20,e23) = e20,
    inference(resolve,[$cnf( $equal(h2(e10),e20) )],[refute_3_139,refute_3_149]) ).

cnf(refute_3_151,plain,
    op2(e20,e23) != op2(e22,e23),
    inference(canonicalize,[],[normalize_3_31]) ).

cnf(refute_3_152,plain,
    ( op2(e22,e20) = e20
    | op2(e22,e21) = e20
    | op2(e22,e22) = e20
    | op2(e22,e23) = e20 ),
    inference(canonicalize,[],[normalize_3_32]) ).

cnf(refute_3_153,plain,
    ( e23 = e20
    | op2(e22,e20) = e20
    | op2(e22,e21) = e20
    | op2(e22,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_3_152,refute_3_33]) ).

cnf(refute_3_154,plain,
    ( op2(e22,e20) = e20
    | op2(e22,e21) = e20
    | op2(e22,e23) = e20 ),
    inference(resolve,[$cnf( $equal(e23,e20) )],[refute_3_153,refute_3_43]) ).

cnf(refute_3_155,plain,
    h1(e10) = op2(op2(e20,e20),e20),
    inference(canonicalize,[],[normalize_3_33]) ).

cnf(refute_3_156,plain,
    op2(op2(e20,e20),e20) = op2(op2(e20,e20),e20),
    introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e20))]]) ).

cnf(refute_3_157,plain,
    ( op2(e20,e20) != h1(e13)
    | op2(op2(e20,e20),e20) != op2(op2(e20,e20),e20)
    | op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) ),[1,0],$fot(h1(e13))]]) ).

cnf(refute_3_158,plain,
    ( op2(e20,e20) != h1(e13)
    | op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) )],[refute_3_156,refute_3_157]) ).

cnf(refute_3_159,plain,
    op2(op2(e20,e20),e20) = op2(h1(e13),e20),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_3_6,refute_3_158]) ).

cnf(refute_3_160,plain,
    ( h1(e10) != op2(op2(e20,e20),e20)
    | op2(op2(e20,e20),e20) != op2(h1(e13),e20)
    | h1(e10) = op2(h1(e13),e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e13),e20)) ),[0],$fot(op2(op2(e20,e20),e20))]]) ).

cnf(refute_3_161,plain,
    ( h1(e10) != op2(op2(e20,e20),e20)
    | h1(e10) = op2(h1(e13),e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(h1(e13),e20)) )],[refute_3_159,refute_3_160]) ).

cnf(refute_3_162,plain,
    h1(e10) = op2(h1(e13),e20),
    inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),e20)) )],[refute_3_155,refute_3_161]) ).

cnf(refute_3_163,plain,
    op2(h1(e13),e20) = op2(h1(e13),e20),
    introduced(tautology,[refl,[$fot(op2(h1(e13),e20))]]) ).

cnf(refute_3_164,plain,
    ( h1(e13) != e22
    | op2(h1(e13),e20) != op2(h1(e13),e20)
    | op2(h1(e13),e20) = op2(e22,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e20),op2(h1(e13),e20)) ),[1,0],$fot(e22)]]) ).

cnf(refute_3_165,plain,
    ( h1(e13) != e22
    | op2(h1(e13),e20) = op2(e22,e20) ),
    inference(resolve,[$cnf( $equal(op2(h1(e13),e20),op2(h1(e13),e20)) )],[refute_3_163,refute_3_164]) ).

cnf(refute_3_166,plain,
    op2(h1(e13),e20) = op2(e22,e20),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_3_78,refute_3_165]) ).

cnf(refute_3_167,plain,
    ( h1(e10) != op2(h1(e13),e20)
    | op2(h1(e13),e20) != op2(e22,e20)
    | h1(e10) = op2(e22,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(e22,e20)) ),[0],$fot(op2(h1(e13),e20))]]) ).

cnf(refute_3_168,plain,
    ( h1(e10) != op2(h1(e13),e20)
    | h1(e10) = op2(e22,e20) ),
    inference(resolve,[$cnf( $equal(op2(h1(e13),e20),op2(e22,e20)) )],[refute_3_166,refute_3_167]) ).

cnf(refute_3_169,plain,
    h1(e10) = op2(e22,e20),
    inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),e20)) )],[refute_3_162,refute_3_168]) ).

cnf(refute_3_170,plain,
    ( h1(e10) != op2(e22,e20)
    | op2(e22,e20) = h1(e10) ),
    inference(subst,[],[refute_3_4:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(e22,e20)))]]) ).

cnf(refute_3_171,plain,
    op2(e22,e20) = h1(e10),
    inference(resolve,[$cnf( $equal(h1(e10),op2(e22,e20)) )],[refute_3_169,refute_3_170]) ).

cnf(refute_3_172,plain,
    ( op2(e22,e20) != e20
    | op2(e22,e20) != h1(e10)
    | h1(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e20) ),[0],$fot(h1(e10))]]) ).

cnf(refute_3_173,plain,
    ( op2(e22,e20) != e20
    | h1(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),h1(e10)) )],[refute_3_171,refute_3_172]) ).

cnf(refute_3_174,plain,
    ( h1(e10) = e20
    | op2(e22,e21) = e20
    | op2(e22,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_3_154,refute_3_173]) ).

cnf(refute_3_175,plain,
    op2(e21,e21) != op2(e22,e21),
    inference(canonicalize,[],[normalize_3_34]) ).

cnf(refute_3_176,plain,
    ( h2(e13) != op2(e22,e21)
    | op2(e21,e21) != h2(e13)
    | op2(e21,e21) = op2(e22,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e22,e21))]]) ).

cnf(refute_3_177,plain,
    ( h2(e13) != op2(e22,e21)
    | op2(e21,e21) = op2(e22,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_3_22,refute_3_176]) ).

cnf(refute_3_178,plain,
    h2(e13) != op2(e22,e21),
    inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e22,e21)) )],[refute_3_177,refute_3_175]) ).

cnf(refute_3_179,plain,
    ( e20 != op2(e22,e21)
    | h2(e13) != e20
    | h2(e13) = op2(e22,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e13),e20) ),[1],$fot(op2(e22,e21))]]) ).

cnf(refute_3_180,plain,
    ( e20 != op2(e22,e21)
    | h2(e13) = op2(e22,e21) ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_3_73,refute_3_179]) ).

cnf(refute_3_181,plain,
    e20 != op2(e22,e21),
    inference(resolve,[$cnf( $equal(h2(e13),op2(e22,e21)) )],[refute_3_180,refute_3_178]) ).

cnf(refute_3_182,plain,
    ( op2(e22,e21) != e20
    | e20 = op2(e22,e21) ),
    inference(subst,[],[refute_3_4:[bind(X,$fot(op2(e22,e21))),bind(Y,$fot(e20))]]) ).

cnf(refute_3_183,plain,
    op2(e22,e21) != e20,
    inference(resolve,[$cnf( $equal(e20,op2(e22,e21)) )],[refute_3_182,refute_3_181]) ).

cnf(refute_3_184,plain,
    ( h1(e10) = e20
    | op2(e22,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_3_174,refute_3_183]) ).

cnf(refute_3_185,plain,
    h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
    inference(canonicalize,[],[normalize_3_41]) ).

cnf(refute_3_186,plain,
    h4(e12) = e23,
    inference(canonicalize,[],[normalize_3_42]) ).

cnf(refute_3_187,plain,
    ( op1(e12,e12) != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(canonicalize,[],[normalize_3_46]) ).

cnf(refute_3_188,plain,
    e13 = op1(e12,e12),
    inference(canonicalize,[],[normalize_3_48]) ).

cnf(refute_3_189,plain,
    ( e13 != op1(e12,e12)
    | op1(e12,e12) = e13 ),
    inference(subst,[],[refute_3_4:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).

cnf(refute_3_190,plain,
    op1(e12,e12) = e13,
    inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_3_188,refute_3_189]) ).

cnf(refute_3_191,plain,
    ( e13 != e13
    | op1(e12,e12) != e13
    | op1(e12,e12) = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(e13)]]) ).

cnf(refute_3_192,plain,
    ( e13 != e13
    | op1(e12,e12) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_3_190,refute_3_191]) ).

cnf(refute_3_193,plain,
    ( e13 != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_3_192,refute_3_187]) ).

cnf(refute_3_194,plain,
    e13 = e13,
    introduced(tautology,[refl,[$fot(e13)]]) ).

cnf(refute_3_195,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(resolve,[$cnf( $equal(e13,e13) )],[refute_3_194,refute_3_193]) ).

cnf(refute_3_196,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(canonicalize,[],[normalize_3_51]) ).

cnf(refute_3_197,plain,
    ( op1(e12,e12) != e10
    | op1(e12,e12) != e13
    | e13 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[0],$fot(e13)]]) ).

cnf(refute_3_198,plain,
    ( op1(e12,e12) != e10
    | e13 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_3_190,refute_3_197]) ).

cnf(refute_3_199,plain,
    ( e13 = e10
    | op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_3_196,refute_3_198]) ).

cnf(refute_3_200,plain,
    e10 != e13,
    inference(canonicalize,[],[normalize_3_53]) ).

cnf(refute_3_201,plain,
    ( e13 != e10
    | e10 = e13 ),
    inference(subst,[],[refute_3_4:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).

cnf(refute_3_202,plain,
    e13 != e10,
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_3_201,refute_3_200]) ).

cnf(refute_3_203,plain,
    ( op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(e13,e10) )],[refute_3_199,refute_3_202]) ).

cnf(refute_3_204,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(canonicalize,[],[normalize_3_54]) ).

cnf(refute_3_205,plain,
    op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).

cnf(refute_3_206,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).

cnf(refute_3_207,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_3_205,refute_3_206]) ).

cnf(refute_3_208,plain,
    op1(e13,op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_3_190,refute_3_207]) ).

cnf(refute_3_209,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_3_210,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).

cnf(refute_3_211,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_3_209,refute_3_210]) ).

cnf(refute_3_212,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_3_190,refute_3_211]) ).

cnf(refute_3_213,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(subst,[],[refute_3_55:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).

cnf(refute_3_214,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_3_212,refute_3_213]) ).

cnf(refute_3_215,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_3_208,refute_3_214]) ).

cnf(refute_3_216,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
    | e11 = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_3_217,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | e11 = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_3_215,refute_3_216]) ).

cnf(refute_3_218,plain,
    e11 = op1(e13,e13),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_3_204,refute_3_217]) ).

cnf(refute_3_219,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_3_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_3_220,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_3_218,refute_3_219]) ).

cnf(refute_3_221,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e13) != e11
    | e11 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).

cnf(refute_3_222,plain,
    ( op1(e13,e13) != e10
    | e11 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_3_220,refute_3_221]) ).

cnf(refute_3_223,plain,
    ( e11 = e10
    | op1(e11,e11) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_3_203,refute_3_222]) ).

cnf(refute_3_224,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_3_55]) ).

cnf(refute_3_225,plain,
    ( e11 != e10
    | e10 = e11 ),
    inference(subst,[],[refute_3_4:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).

cnf(refute_3_226,plain,
    e11 != e10,
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_3_225,refute_3_224]) ).

cnf(refute_3_227,plain,
    op1(e11,e11) = e10,
    inference(resolve,[$cnf( $equal(e11,e10) )],[refute_3_223,refute_3_226]) ).

cnf(refute_3_228,plain,
    ( op1(e11,e11) != e10
    | op1(e11,e11) != e12
    | e10 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[0],$fot(e10)]]) ).

cnf(refute_3_229,plain,
    ( op1(e11,e11) != e12
    | e10 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_3_227,refute_3_228]) ).

cnf(refute_3_230,plain,
    ( e10 = e12
    | op1(e10,e10) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_3_195,refute_3_229]) ).

cnf(refute_3_231,plain,
    e10 != e12,
    inference(canonicalize,[],[normalize_3_56]) ).

cnf(refute_3_232,plain,
    op1(e10,e10) = e12,
    inference(resolve,[$cnf( $equal(e10,e12) )],[refute_3_230,refute_3_231]) ).

cnf(refute_3_233,plain,
    h4(op1(e10,e10)) = h4(op1(e10,e10)),
    introduced(tautology,[refl,[$fot(h4(op1(e10,e10)))]]) ).

cnf(refute_3_234,plain,
    ( h4(op1(e10,e10)) != h4(op1(e10,e10))
    | op1(e10,e10) != e12
    | h4(op1(e10,e10)) = h4(e12) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) ),[1,0],$fot(e12)]]) ).

cnf(refute_3_235,plain,
    ( op1(e10,e10) != e12
    | h4(op1(e10,e10)) = h4(e12) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) )],[refute_3_233,refute_3_234]) ).

cnf(refute_3_236,plain,
    h4(op1(e10,e10)) = h4(e12),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_3_232,refute_3_235]) ).

cnf(refute_3_237,plain,
    ( h4(e12) != e23
    | h4(op1(e10,e10)) != h4(e12)
    | h4(op1(e10,e10)) = e23 ),
    inference(subst,[],[refute_3_55:[bind(X,$fot(h4(op1(e10,e10)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e23))]]) ).

cnf(refute_3_238,plain,
    ( h4(e12) != e23
    | h4(op1(e10,e10)) = e23 ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(e12)) )],[refute_3_236,refute_3_237]) ).

cnf(refute_3_239,plain,
    h4(op1(e10,e10)) = e23,
    inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_3_186,refute_3_238]) ).

cnf(refute_3_240,plain,
    ( h4(op1(e10,e10)) != e23
    | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | e23 = op2(h4(e10),h4(e10)) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[0],$fot(e23)]]) ).

cnf(refute_3_241,plain,
    ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | e23 = op2(h4(e10),h4(e10)) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e23) )],[refute_3_239,refute_3_240]) ).

cnf(refute_3_242,plain,
    e23 = op2(h4(e10),h4(e10)),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_3_185,refute_3_241]) ).

cnf(refute_3_243,plain,
    ( op2(e21,e20) = e23
    | op2(e21,e21) = e23
    | op2(e21,e22) = e23
    | op2(e21,e23) = e23 ),
    inference(canonicalize,[],[normalize_3_57]) ).

cnf(refute_3_244,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e13))]]) ).

cnf(refute_3_245,plain,
    ( op2(e21,e21) != e23
    | h2(e13) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_3_22,refute_3_244]) ).

cnf(refute_3_246,plain,
    ( h2(e13) = e23
    | op2(e21,e20) = e23
    | op2(e21,e22) = e23
    | op2(e21,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_3_243,refute_3_245]) ).

cnf(refute_3_247,plain,
    op2(e21,e22) != op2(e22,e22),
    inference(canonicalize,[],[normalize_3_58]) ).

cnf(refute_3_248,plain,
    ( op2(e21,e22) != e23
    | op2(e22,e22) != e23
    | op2(e21,e22) = op2(e22,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).

cnf(refute_3_249,plain,
    ( op2(e21,e22) != e23
    | op2(e21,e22) = op2(e22,e22) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_13,refute_3_248]) ).

cnf(refute_3_250,plain,
    op2(e21,e22) != e23,
    inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_3_249,refute_3_247]) ).

cnf(refute_3_251,plain,
    ( h2(e13) = e23
    | op2(e21,e20) = e23
    | op2(e21,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_3_246,refute_3_250]) ).

cnf(refute_3_252,plain,
    ( h2(e13) != e20
    | h2(e13) != e23
    | e20 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e13),e23) ),[0],$fot(e20)]]) ).

cnf(refute_3_253,plain,
    ( h2(e13) != e23
    | e20 = e23 ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_3_73,refute_3_252]) ).

cnf(refute_3_254,plain,
    ( e20 = e23
    | op2(e21,e20) = e23
    | op2(e21,e23) = e23 ),
    inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_3_251,refute_3_253]) ).

cnf(refute_3_255,plain,
    h4(e10) = op2(op2(e23,e23),e23),
    inference(canonicalize,[],[normalize_3_59]) ).

cnf(refute_3_256,plain,
    ( h4(e13) != e21
    | op2(e23,e23) != h4(e13)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_3_55:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).

cnf(refute_3_257,plain,
    ( h4(e13) != e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_3_37,refute_3_256]) ).

cnf(refute_3_258,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_3_66,refute_3_257]) ).

cnf(refute_3_259,plain,
    op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).

cnf(refute_3_260,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
    | op2(op2(e23,e23),e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).

cnf(refute_3_261,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_3_259,refute_3_260]) ).

cnf(refute_3_262,plain,
    op2(op2(e23,e23),e23) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_3_258,refute_3_261]) ).

cnf(refute_3_263,plain,
    ( h4(e10) != op2(op2(e23,e23),e23)
    | op2(op2(e23,e23),e23) != op2(e21,e23)
    | h4(e10) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).

cnf(refute_3_264,plain,
    ( h4(e10) != op2(op2(e23,e23),e23)
    | h4(e10) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_3_262,refute_3_263]) ).

cnf(refute_3_265,plain,
    h4(e10) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_3_255,refute_3_264]) ).

cnf(refute_3_266,plain,
    ( h4(e10) != op2(e21,e23)
    | op2(e21,e23) = h4(e10) ),
    inference(subst,[],[refute_3_4:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_3_267,plain,
    op2(e21,e23) = h4(e10),
    inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_3_265,refute_3_266]) ).

cnf(refute_3_268,plain,
    ( op2(e21,e23) != e23
    | op2(e21,e23) != h4(e10)
    | h4(e10) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(h4(e10))]]) ).

cnf(refute_3_269,plain,
    ( op2(e21,e23) != e23
    | h4(e10) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_3_267,refute_3_268]) ).

cnf(refute_3_270,plain,
    ( e20 = e23
    | h4(e10) = e23
    | op2(e21,e20) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_3_254,refute_3_269]) ).

cnf(refute_3_271,plain,
    ( h4(e10) = e23
    | op2(e21,e20) = e23 ),
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_3_270,refute_3_41]) ).

cnf(refute_3_272,plain,
    ( op2(e20,e20) = e21
    | op2(e21,e20) = e21
    | op2(e22,e20) = e21
    | op2(e23,e20) = e21 ),
    inference(canonicalize,[],[normalize_3_60]) ).

cnf(refute_3_273,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e13))]]) ).

cnf(refute_3_274,plain,
    ( op2(e20,e20) != e21
    | h1(e13) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_3_6,refute_3_273]) ).

cnf(refute_3_275,plain,
    ( h1(e13) = e21
    | op2(e21,e20) = e21
    | op2(e22,e20) = e21
    | op2(e23,e20) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_3_272,refute_3_274]) ).

cnf(refute_3_276,plain,
    ( h1(e13) != e21
    | h1(e13) != e22
    | e22 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e13),e21) ),[0],$fot(e22)]]) ).

cnf(refute_3_277,plain,
    ( h1(e13) != e21
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_3_78,refute_3_276]) ).

cnf(refute_3_278,plain,
    ( e22 = e21
    | op2(e21,e20) = e21
    | op2(e22,e20) = e21
    | op2(e23,e20) = e21 ),
    inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_3_275,refute_3_277]) ).

cnf(refute_3_279,plain,
    ( op2(e22,e20) != e21
    | op2(e22,e20) != h1(e10)
    | h1(e10) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e21) ),[0],$fot(h1(e10))]]) ).

cnf(refute_3_280,plain,
    ( op2(e22,e20) != e21
    | h1(e10) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),h1(e10)) )],[refute_3_171,refute_3_279]) ).

cnf(refute_3_281,plain,
    ( e22 = e21
    | h1(e10) = e21
    | op2(e21,e20) = e21
    | op2(e23,e20) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_3_278,refute_3_280]) ).

cnf(refute_3_282,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_3_61]) ).

cnf(refute_3_283,plain,
    ( e22 != e21
    | e21 = e22 ),
    inference(subst,[],[refute_3_4:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).

cnf(refute_3_284,plain,
    e22 != e21,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_3_283,refute_3_282]) ).

cnf(refute_3_285,plain,
    ( h1(e10) = e21
    | op2(e21,e20) = e21
    | op2(e23,e20) = e21 ),
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_3_281,refute_3_284]) ).

cnf(refute_3_286,plain,
    op2(e23,e20) != op2(e23,e23),
    inference(canonicalize,[],[normalize_3_62]) ).

cnf(refute_3_287,plain,
    ( op2(e23,e20) != h4(e13)
    | op2(e23,e23) != h4(e13)
    | op2(e23,e20) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).

cnf(refute_3_288,plain,
    ( op2(e23,e20) != h4(e13)
    | op2(e23,e20) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_3_37,refute_3_287]) ).

cnf(refute_3_289,plain,
    op2(e23,e20) != h4(e13),
    inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_3_288,refute_3_286]) ).

cnf(refute_3_290,plain,
    ( h4(e13) != e21
    | op2(e23,e20) != e21
    | op2(e23,e20) = h4(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),h4(e13)) ),[1],$fot(e21)]]) ).

cnf(refute_3_291,plain,
    ( op2(e23,e20) != e21
    | op2(e23,e20) = h4(e13) ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_3_66,refute_3_290]) ).

cnf(refute_3_292,plain,
    op2(e23,e20) != e21,
    inference(resolve,[$cnf( $equal(op2(e23,e20),h4(e13)) )],[refute_3_291,refute_3_289]) ).

cnf(refute_3_293,plain,
    ( h1(e10) = e21
    | op2(e21,e20) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_3_285,refute_3_292]) ).

cnf(refute_3_294,plain,
    ( op2(e21,e20) != e21
    | op2(e21,e20) != e23
    | e21 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e23) ),[0],$fot(e21)]]) ).

cnf(refute_3_295,plain,
    ( op2(e21,e20) != e23
    | e21 = e23
    | h1(e10) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_3_293,refute_3_294]) ).

cnf(refute_3_296,plain,
    ( e21 = e23
    | h1(e10) = e21
    | h4(e10) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_3_271,refute_3_295]) ).

cnf(refute_3_297,plain,
    e21 != e23,
    inference(canonicalize,[],[normalize_3_63]) ).

cnf(refute_3_298,plain,
    ( h1(e10) = e21
    | h4(e10) = e23 ),
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_3_296,refute_3_297]) ).

cnf(refute_3_299,plain,
    ( e23 != op2(h4(e10),h4(e10))
    | h4(e10) != e23
    | e23 = op2(e23,h4(e10)) ),
    introduced(tautology,[equality,[$cnf( $equal(e23,op2(h4(e10),h4(e10))) ),[1,0],$fot(e23)]]) ).

cnf(refute_3_300,plain,
    ( e23 != op2(h4(e10),h4(e10))
    | e23 = op2(e23,h4(e10))
    | h1(e10) = e21 ),
    inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_3_298,refute_3_299]) ).

cnf(refute_3_301,plain,
    ( e23 = op2(e23,h4(e10))
    | h1(e10) = e21 ),
    inference(resolve,[$cnf( $equal(e23,op2(h4(e10),h4(e10))) )],[refute_3_242,refute_3_300]) ).

cnf(refute_3_302,plain,
    ( e23 != op2(e23,h4(e10))
    | h4(e10) != e23
    | e23 = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(e23,op2(e23,h4(e10))) ),[1,1],$fot(e23)]]) ).

cnf(refute_3_303,plain,
    ( e23 != op2(e23,h4(e10))
    | e23 = op2(e23,e23)
    | h1(e10) = e21 ),
    inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_3_298,refute_3_302]) ).

cnf(refute_3_304,plain,
    ( e23 = op2(e23,e23)
    | h1(e10) = e21 ),
    inference(resolve,[$cnf( $equal(e23,op2(e23,h4(e10))) )],[refute_3_301,refute_3_303]) ).

cnf(refute_3_305,plain,
    ( e23 != op2(e23,e23)
    | op2(e23,e23) != e21
    | e23 = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e23,e21) ),[0],$fot(op2(e23,e23))]]) ).

cnf(refute_3_306,plain,
    ( e23 != op2(e23,e23)
    | e23 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_3_258,refute_3_305]) ).

cnf(refute_3_307,plain,
    ( e23 = e21
    | h1(e10) = e21 ),
    inference(resolve,[$cnf( $equal(e23,op2(e23,e23)) )],[refute_3_304,refute_3_306]) ).

cnf(refute_3_308,plain,
    ( e23 != e21
    | e21 = e23 ),
    inference(subst,[],[refute_3_4:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).

cnf(refute_3_309,plain,
    e23 != e21,
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_3_308,refute_3_297]) ).

cnf(refute_3_310,plain,
    h1(e10) = e21,
    inference(resolve,[$cnf( $equal(e23,e21) )],[refute_3_307,refute_3_309]) ).

cnf(refute_3_311,plain,
    ( h1(e10) != e20
    | h1(e10) != e21
    | e21 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e10),e20) ),[0],$fot(e21)]]) ).

cnf(refute_3_312,plain,
    ( h1(e10) != e20
    | e21 = e20 ),
    inference(resolve,[$cnf( $equal(h1(e10),e21) )],[refute_3_310,refute_3_311]) ).

cnf(refute_3_313,plain,
    ( e21 = e20
    | op2(e22,e23) = e20 ),
    inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_3_184,refute_3_312]) ).

cnf(refute_3_314,plain,
    op2(e22,e23) = e20,
    inference(resolve,[$cnf( $equal(e21,e20) )],[refute_3_313,refute_3_72]) ).

cnf(refute_3_315,plain,
    ( op2(e20,e23) != e20
    | op2(e22,e23) != e20
    | op2(e20,e23) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e22,e23)) ),[1],$fot(e20)]]) ).

cnf(refute_3_316,plain,
    ( op2(e20,e23) != e20
    | op2(e20,e23) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_3_314,refute_3_315]) ).

cnf(refute_3_317,plain,
    op2(e20,e23) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_3_316,refute_3_151]) ).

cnf(refute_3_318,plain,
    $false,
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_3_150,refute_3_317]) ).

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,
    ( ( 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_1,plain,
    ( op2(e21,e22) = e20
    | op2(e21,e22) = e21
    | op2(e21,e22) = e22
    | op2(e21,e22) = e23 ),
    inference(conjunct,[],[normalize_4_0]) ).

fof(normalize_4_2,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_3,plain,
    op2(e21,e22) != op2(e22,e22),
    inference(conjunct,[],[normalize_4_2]) ).

fof(normalize_4_4,plain,
    ( e20 = op2(op2(e22,e22),e22)
    & e21 = op2(op2(e22,e22),op2(e22,e22))
    & e23 = op2(e22,e22) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_4_5,plain,
    e23 = op2(e22,e22),
    inference(conjunct,[],[normalize_4_4]) ).

fof(normalize_4_6,plain,
    op2(e21,e22) != op2(e23,e22),
    inference(conjunct,[],[normalize_4_2]) ).

fof(normalize_4_7,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(conjunct,[],[normalize_4_4]) ).

fof(normalize_4_8,plain,
    op2(e20,e22) != op2(e21,e22),
    inference(conjunct,[],[normalize_4_2]) ).

fof(normalize_4_9,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e22) = e21
    | op2(e20,e22) = e22
    | op2(e20,e22) = e23 ),
    inference(conjunct,[],[normalize_4_0]) ).

fof(normalize_4_10,plain,
    op2(e20,e22) != op2(e22,e22),
    inference(conjunct,[],[normalize_4_2]) ).

fof(normalize_4_11,plain,
    op2(e20,e22) != op2(e23,e22),
    inference(conjunct,[],[normalize_4_2]) ).

fof(normalize_4_12,plain,
    op2(e20,e20) != op2(e20,e22),
    inference(conjunct,[],[normalize_4_2]) ).

fof(normalize_4_13,plain,
    ( h1(e10) = op2(op2(e20,e20),e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = e20
    & h1(e13) = op2(e20,e20) ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_4_14,plain,
    h1(e13) = op2(e20,e20),
    inference(conjunct,[],[normalize_4_13]) ).

fof(normalize_4_15,plain,
    ( ( ( op2(e20,e20) != e21
        & op2(e21,e21) = e20 )
      | ( op2(e20,e20) != e22
        & op2(e22,e22) = e20 )
      | ( op2(e20,e20) != e23
        & op2(e23,e23) = e20 ) )
    & ( ( op2(e21,e21) != e20
        & op2(e20,e20) = e21 )
      | ( op2(e21,e21) != e22
        & op2(e22,e22) = e21 )
      | ( op2(e21,e21) != e23
        & op2(e23,e23) = e21 ) )
    & ( ( op2(e22,e22) != e20
        & op2(e20,e20) = e22 )
      | ( op2(e22,e22) != e21
        & op2(e21,e21) = e22 )
      | ( op2(e22,e22) != e23
        & op2(e23,e23) = e22 ) )
    & ( ( op2(e23,e23) != e20
        & op2(e20,e20) = e23 )
      | ( op2(e23,e23) != e21
        & op2(e21,e21) = e23 )
      | ( op2(e23,e23) != e22
        & op2(e22,e22) = e23 ) ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_4_16,plain,
    ( ( op2(e22,e22) != e20
      & op2(e20,e20) = e22 )
    | ( op2(e22,e22) != e21
      & op2(e21,e21) = e22 )
    | ( op2(e22,e22) != e23
      & op2(e23,e23) = e22 ) ),
    inference(conjunct,[],[normalize_4_15]) ).

fof(normalize_4_17,plain,
    ( ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e23
      | op2(e21,e21) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e22) != e23
      | op2(e20,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e20,e20) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e20,e20) = e22
      | op2(e21,e21) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 ) ),
    inference(clausify,[],[normalize_4_16]) ).

fof(normalize_4_18,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(conjunct,[],[normalize_4_17]) ).

fof(normalize_4_19,plain,
    ( h2(e10) = op2(op2(e21,e21),e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = e21
    & h2(e13) = op2(e21,e21) ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_4_20,plain,
    h2(e13) = op2(e21,e21),
    inference(conjunct,[],[normalize_4_19]) ).

fof(normalize_4_21,plain,
    ( ( op2(e20,e20) != e21
      & op2(e21,e21) = e20 )
    | ( op2(e20,e20) != e22
      & op2(e22,e22) = e20 )
    | ( op2(e20,e20) != e23
      & op2(e23,e23) = e20 ) ),
    inference(conjunct,[],[normalize_4_15]) ).

fof(normalize_4_22,plain,
    ( ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e20,e20) != e23 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e23
      | op2(e22,e22) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e20) != e23
      | op2(e21,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e21) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e21) = e20
      | op2(e22,e22) = e20 )
    & ( op2(e21,e21) = e20
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 ) ),
    inference(clausify,[],[normalize_4_21]) ).

fof(normalize_4_23,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(conjunct,[],[normalize_4_22]) ).

fof(normalize_4_24,plain,
    ( h4(e10) = op2(op2(e23,e23),e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = e23
    & h4(e13) = op2(e23,e23) ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_4_25,plain,
    h4(e13) = op2(e23,e23),
    inference(conjunct,[],[normalize_4_24]) ).

fof(normalize_4_26,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_4_27,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_4_26]) ).

fof(normalize_4_28,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(conjunct,[],[normalize_4_4]) ).

fof(normalize_4_29,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_4_26]) ).

fof(normalize_4_30,plain,
    e20 != e22,
    inference(conjunct,[],[normalize_4_26]) ).

fof(normalize_4_31,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e21) = e20
      | op2(e20,e22) = e20
      | op2(e20,e23) = e20 )
    & ( op2(e20,e20) = e20
      | op2(e21,e20) = e20
      | op2(e22,e20) = e20
      | op2(e23,e20) = e20 )
    & ( op2(e20,e20) = e21
      | op2(e20,e21) = e21
      | op2(e20,e22) = e21
      | op2(e20,e23) = e21 )
    & ( op2(e20,e20) = e21
      | op2(e21,e20) = e21
      | op2(e22,e20) = e21
      | op2(e23,e20) = e21 )
    & ( op2(e20,e20) = e22
      | op2(e20,e21) = e22
      | op2(e20,e22) = e22
      | op2(e20,e23) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e20) = e22
      | op2(e22,e20) = e22
      | op2(e23,e20) = e22 )
    & ( op2(e20,e20) = e23
      | op2(e20,e21) = e23
      | op2(e20,e22) = e23
      | op2(e20,e23) = e23 )
    & ( op2(e20,e20) = e23
      | op2(e21,e20) = e23
      | op2(e22,e20) = e23
      | op2(e23,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e21,e21) = e20
      | op2(e22,e21) = e20
      | op2(e23,e21) = e20 )
    & ( op2(e20,e21) = e21
      | op2(e21,e21) = e21
      | op2(e22,e21) = e21
      | op2(e23,e21) = e21 )
    & ( op2(e20,e21) = e22
      | op2(e21,e21) = e22
      | op2(e22,e21) = e22
      | op2(e23,e21) = e22 )
    & ( op2(e20,e21) = e23
      | op2(e21,e21) = e23
      | op2(e22,e21) = e23
      | op2(e23,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e21,e22) = e20
      | op2(e22,e22) = e20
      | op2(e23,e22) = e20 )
    & ( op2(e20,e22) = e21
      | op2(e21,e22) = e21
      | op2(e22,e22) = e21
      | op2(e23,e22) = e21 )
    & ( op2(e20,e22) = e22
      | op2(e21,e22) = e22
      | op2(e22,e22) = e22
      | op2(e23,e22) = e22 )
    & ( op2(e20,e22) = e23
      | op2(e21,e22) = e23
      | op2(e22,e22) = e23
      | op2(e23,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e21,e23) = e20
      | op2(e22,e23) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e23) = e21
      | op2(e21,e23) = e21
      | op2(e22,e23) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e20,e23) = e22
      | op2(e21,e23) = e22
      | op2(e22,e23) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e20,e23) = e23
      | op2(e21,e23) = e23
      | op2(e22,e23) = e23
      | op2(e23,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e21) = e20
      | op2(e21,e22) = e20
      | op2(e21,e23) = e20 )
    & ( op2(e21,e20) = e21
      | op2(e21,e21) = e21
      | op2(e21,e22) = e21
      | op2(e21,e23) = e21 )
    & ( op2(e21,e20) = e22
      | op2(e21,e21) = e22
      | op2(e21,e22) = e22
      | op2(e21,e23) = e22 )
    & ( op2(e21,e20) = e23
      | op2(e21,e21) = e23
      | op2(e21,e22) = e23
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e21) = e20
      | op2(e22,e22) = e20
      | op2(e22,e23) = e20 )
    & ( op2(e22,e20) = e21
      | op2(e22,e21) = e21
      | op2(e22,e22) = e21
      | op2(e22,e23) = e21 )
    & ( op2(e22,e20) = e22
      | op2(e22,e21) = e22
      | op2(e22,e22) = e22
      | op2(e22,e23) = e22 )
    & ( op2(e22,e20) = e23
      | op2(e22,e21) = e23
      | op2(e22,e22) = e23
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e21) = e20
      | op2(e23,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e23,e20) = e21
      | op2(e23,e21) = e21
      | op2(e23,e22) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e23,e20) = e22
      | op2(e23,e21) = e22
      | op2(e23,e22) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e23,e20) = e23
      | op2(e23,e21) = e23
      | op2(e23,e22) = e23
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax4]) ).

fof(normalize_4_32,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(conjunct,[],[normalize_4_31]) ).

fof(normalize_4_33,plain,
    h2(e10) = op2(op2(e21,e21),e21),
    inference(conjunct,[],[normalize_4_19]) ).

fof(normalize_4_34,plain,
    op2(e20,e21) != op2(e21,e21),
    inference(conjunct,[],[normalize_4_2]) ).

fof(normalize_4_35,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_36,plain,
    h1(e12) = e20,
    inference(conjunct,[],[normalize_4_13]) ).

fof(normalize_4_37,plain,
    h2(e12) = e21,
    inference(conjunct,[],[normalize_4_19]) ).

fof(normalize_4_38,plain,
    ( h3(e10) = op2(op2(e22,e22),e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = e22
    & h3(e13) = op2(e22,e22) ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_4_39,plain,
    h3(e12) = e22,
    inference(conjunct,[],[normalize_4_38]) ).

fof(normalize_4_40,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_35,normalize_4_36,normalize_4_37,normalize_4_39]) ).

fof(normalize_4_41,plain,
    h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
    inference(conjunct,[],[normalize_4_40]) ).

fof(normalize_4_42,plain,
    h4(e12) = e23,
    inference(conjunct,[],[normalize_4_24]) ).

fof(normalize_4_43,plain,
    ( ( ( op1(e10,e10) != e11
        & op1(e11,e11) = e10 )
      | ( op1(e10,e10) != e12
        & op1(e12,e12) = e10 )
      | ( op1(e10,e10) != e13
        & op1(e13,e13) = e10 ) )
    & ( ( op1(e11,e11) != e10
        & op1(e10,e10) = e11 )
      | ( op1(e11,e11) != e12
        & op1(e12,e12) = e11 )
      | ( op1(e11,e11) != e13
        & op1(e13,e13) = e11 ) )
    & ( ( op1(e12,e12) != e10
        & op1(e10,e10) = e12 )
      | ( op1(e12,e12) != e11
        & op1(e11,e11) = e12 )
      | ( op1(e12,e12) != e13
        & op1(e13,e13) = e12 ) )
    & ( ( op1(e13,e13) != e10
        & op1(e10,e10) = e13 )
      | ( op1(e13,e13) != e11
        & op1(e11,e11) = e13 )
      | ( op1(e13,e13) != e12
        & op1(e12,e12) = e13 ) ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_4_44,plain,
    ( ( op1(e12,e12) != e10
      & op1(e10,e10) = e12 )
    | ( op1(e12,e12) != e11
      & op1(e11,e11) = e12 )
    | ( op1(e12,e12) != e13
      & op1(e13,e13) = e12 ) ),
    inference(conjunct,[],[normalize_4_43]) ).

fof(normalize_4_45,plain,
    ( ( op1(e12,e12) != e10
      | op1(e12,e12) != e11
      | op1(e12,e12) != e13 )
    & ( op1(e12,e12) != e10
      | op1(e12,e12) != e11
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e10
      | op1(e12,e12) != e13
      | op1(e11,e11) = e12 )
    & ( op1(e12,e12) != e10
      | op1(e11,e11) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e12) != e13
      | op1(e10,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e10,e10) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e10,e10) = e12
      | op1(e11,e11) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e11) = e12
      | op1(e13,e13) = e12 ) ),
    inference(clausify,[],[normalize_4_44]) ).

fof(normalize_4_46,plain,
    ( op1(e12,e12) != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(conjunct,[],[normalize_4_45]) ).

fof(normalize_4_47,plain,
    ( e10 = op1(op1(e12,e12),e12)
    & e11 = op1(op1(e12,e12),op1(e12,e12))
    & e13 = op1(e12,e12) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_4_48,plain,
    e13 = op1(e12,e12),
    inference(conjunct,[],[normalize_4_47]) ).

fof(normalize_4_49,plain,
    ( ( op1(e10,e10) != e11
      & op1(e11,e11) = e10 )
    | ( op1(e10,e10) != e12
      & op1(e12,e12) = e10 )
    | ( op1(e10,e10) != e13
      & op1(e13,e13) = e10 ) ),
    inference(conjunct,[],[normalize_4_43]) ).

fof(normalize_4_50,plain,
    ( ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e10,e10) != e13 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e13
      | op1(e12,e12) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e10) != e13
      | op1(e11,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e11) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e11) = e10
      | op1(e12,e12) = e10 )
    & ( op1(e11,e11) = e10
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 ) ),
    inference(clausify,[],[normalize_4_49]) ).

fof(normalize_4_51,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(conjunct,[],[normalize_4_50]) ).

fof(normalize_4_52,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_4_53,plain,
    e10 != e13,
    inference(conjunct,[],[normalize_4_52]) ).

fof(normalize_4_54,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(conjunct,[],[normalize_4_47]) ).

fof(normalize_4_55,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_4_52]) ).

fof(normalize_4_56,plain,
    e10 != e12,
    inference(conjunct,[],[normalize_4_52]) ).

fof(normalize_4_57,plain,
    ( op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23
    | op2(e23,e23) = e23 ),
    inference(conjunct,[],[normalize_4_31]) ).

fof(normalize_4_58,plain,
    op2(e22,e22) != op2(e22,e23),
    inference(conjunct,[],[normalize_4_2]) ).

fof(normalize_4_59,plain,
    h4(e10) = op2(op2(e23,e23),e23),
    inference(conjunct,[],[normalize_4_24]) ).

fof(normalize_4_60,plain,
    e21 != e23,
    inference(conjunct,[],[normalize_4_26]) ).

fof(normalize_4_61,plain,
    ( op2(e20,e20) = e23
    | op2(e20,e21) = e23
    | op2(e20,e22) = e23
    | op2(e20,e23) = e23 ),
    inference(conjunct,[],[normalize_4_31]) ).

fof(normalize_4_62,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_4_26]) ).

cnf(refute_4_0,plain,
    ( op2(e21,e22) = e20
    | op2(e21,e22) = e21
    | op2(e21,e22) = e22
    | op2(e21,e22) = e23 ),
    inference(canonicalize,[],[normalize_4_1]) ).

cnf(refute_4_1,plain,
    op2(e21,e22) != op2(e22,e22),
    inference(canonicalize,[],[normalize_4_3]) ).

cnf(refute_4_2,plain,
    e23 = op2(e22,e22),
    inference(canonicalize,[],[normalize_4_5]) ).

cnf(refute_4_3,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_4_4,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_4_5,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_4_3,refute_4_4]) ).

cnf(refute_4_6,plain,
    ( e23 != op2(e22,e22)
    | op2(e22,e22) = e23 ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_4_7,plain,
    op2(e22,e22) = e23,
    inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_4_2,refute_4_6]) ).

cnf(refute_4_8,plain,
    ( op2(e21,e22) != e23
    | op2(e22,e22) != e23
    | op2(e21,e22) = op2(e22,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).

cnf(refute_4_9,plain,
    ( op2(e21,e22) != e23
    | op2(e21,e22) = op2(e22,e22) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_7,refute_4_8]) ).

cnf(refute_4_10,plain,
    op2(e21,e22) != e23,
    inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_4_9,refute_4_1]) ).

cnf(refute_4_11,plain,
    ( op2(e21,e22) = e20
    | op2(e21,e22) = e21
    | op2(e21,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_4_0,refute_4_10]) ).

cnf(refute_4_12,plain,
    op2(e21,e22) != op2(e23,e22),
    inference(canonicalize,[],[normalize_4_6]) ).

cnf(refute_4_13,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(canonicalize,[],[normalize_4_7]) ).

cnf(refute_4_14,plain,
    op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).

cnf(refute_4_15,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).

cnf(refute_4_16,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),e22) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_4_14,refute_4_15]) ).

cnf(refute_4_17,plain,
    op2(op2(e22,e22),e22) = op2(e23,e22),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_7,refute_4_16]) ).

cnf(refute_4_18,plain,
    ( e20 != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) != op2(e23,e22)
    | e20 = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).

cnf(refute_4_19,plain,
    ( e20 != op2(op2(e22,e22),e22)
    | e20 = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_4_17,refute_4_18]) ).

cnf(refute_4_20,plain,
    e20 = op2(e23,e22),
    inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_4_13,refute_4_19]) ).

cnf(refute_4_21,plain,
    ( e20 != op2(e23,e22)
    | op2(e23,e22) = e20 ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).

cnf(refute_4_22,plain,
    op2(e23,e22) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_4_20,refute_4_21]) ).

cnf(refute_4_23,plain,
    ( op2(e21,e22) != e20
    | op2(e23,e22) != e20
    | op2(e21,e22) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).

cnf(refute_4_24,plain,
    ( op2(e21,e22) != e20
    | op2(e21,e22) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_4_22,refute_4_23]) ).

cnf(refute_4_25,plain,
    op2(e21,e22) != e20,
    inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_4_24,refute_4_12]) ).

cnf(refute_4_26,plain,
    ( op2(e21,e22) = e21
    | op2(e21,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_4_11,refute_4_25]) ).

cnf(refute_4_27,plain,
    op2(e20,e22) != op2(e21,e22),
    inference(canonicalize,[],[normalize_4_8]) ).

cnf(refute_4_28,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e22) = e21
    | op2(e20,e22) = e22
    | op2(e20,e22) = e23 ),
    inference(canonicalize,[],[normalize_4_9]) ).

cnf(refute_4_29,plain,
    op2(e20,e22) != op2(e22,e22),
    inference(canonicalize,[],[normalize_4_10]) ).

cnf(refute_4_30,plain,
    ( op2(e20,e22) != e23
    | op2(e22,e22) != e23
    | op2(e20,e22) = op2(e22,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).

cnf(refute_4_31,plain,
    ( op2(e20,e22) != e23
    | op2(e20,e22) = op2(e22,e22) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_7,refute_4_30]) ).

cnf(refute_4_32,plain,
    op2(e20,e22) != e23,
    inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_4_31,refute_4_29]) ).

cnf(refute_4_33,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e22) = e21
    | op2(e20,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_4_28,refute_4_32]) ).

cnf(refute_4_34,plain,
    op2(e20,e22) != op2(e23,e22),
    inference(canonicalize,[],[normalize_4_11]) ).

cnf(refute_4_35,plain,
    ( op2(e20,e22) != e20
    | op2(e23,e22) != e20
    | op2(e20,e22) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).

cnf(refute_4_36,plain,
    ( op2(e20,e22) != e20
    | op2(e20,e22) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_4_22,refute_4_35]) ).

cnf(refute_4_37,plain,
    op2(e20,e22) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_4_36,refute_4_34]) ).

cnf(refute_4_38,plain,
    ( op2(e20,e22) = e21
    | op2(e20,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_4_33,refute_4_37]) ).

cnf(refute_4_39,plain,
    op2(e20,e20) != op2(e20,e22),
    inference(canonicalize,[],[normalize_4_12]) ).

cnf(refute_4_40,plain,
    h1(e13) = op2(e20,e20),
    inference(canonicalize,[],[normalize_4_14]) ).

cnf(refute_4_41,plain,
    ( h1(e13) != op2(e20,e20)
    | op2(e20,e20) = h1(e13) ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_4_42,plain,
    op2(e20,e20) = h1(e13),
    inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_4_40,refute_4_41]) ).

cnf(refute_4_43,plain,
    ( h1(e13) != op2(e20,e22)
    | op2(e20,e20) != h1(e13)
    | op2(e20,e20) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).

cnf(refute_4_44,plain,
    ( h1(e13) != op2(e20,e22)
    | op2(e20,e20) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_4_42,refute_4_43]) ).

cnf(refute_4_45,plain,
    h1(e13) != op2(e20,e22),
    inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_4_44,refute_4_39]) ).

cnf(refute_4_46,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(canonicalize,[],[normalize_4_18]) ).

cnf(refute_4_47,plain,
    ( e23 != e23
    | op2(e22,e22) != e23
    | op2(e22,e22) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(e23)]]) ).

cnf(refute_4_48,plain,
    ( e23 != e23
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_7,refute_4_47]) ).

cnf(refute_4_49,plain,
    ( e23 != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_48,refute_4_46]) ).

cnf(refute_4_50,plain,
    ( op2(e20,e20) != e22
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).

cnf(refute_4_51,plain,
    ( op2(e20,e20) != e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_4_42,refute_4_50]) ).

cnf(refute_4_52,plain,
    ( e23 != e23
    | h1(e13) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_4_49,refute_4_51]) ).

cnf(refute_4_53,plain,
    h2(e13) = op2(e21,e21),
    inference(canonicalize,[],[normalize_4_20]) ).

cnf(refute_4_54,plain,
    ( h2(e13) != op2(e21,e21)
    | op2(e21,e21) = h2(e13) ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_4_55,plain,
    op2(e21,e21) = h2(e13),
    inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_4_53,refute_4_54]) ).

cnf(refute_4_56,plain,
    ( op2(e21,e21) != e22
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).

cnf(refute_4_57,plain,
    ( op2(e21,e21) != e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_4_55,refute_4_56]) ).

cnf(refute_4_58,plain,
    ( e23 != e23
    | h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_4_52,refute_4_57]) ).

cnf(refute_4_59,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_4_60,plain,
    ( h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_59,refute_4_58]) ).

cnf(refute_4_61,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(canonicalize,[],[normalize_4_23]) ).

cnf(refute_4_62,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).

cnf(refute_4_63,plain,
    ( op2(e21,e21) != e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_4_55,refute_4_62]) ).

cnf(refute_4_64,plain,
    ( h2(e13) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_4_61,refute_4_63]) ).

cnf(refute_4_65,plain,
    ( op2(e22,e22) != e20
    | op2(e22,e22) != e23
    | e23 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).

cnf(refute_4_66,plain,
    ( op2(e22,e22) != e20
    | e23 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_7,refute_4_65]) ).

cnf(refute_4_67,plain,
    ( e23 = e20
    | h2(e13) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_4_64,refute_4_66]) ).

cnf(refute_4_68,plain,
    h4(e13) = op2(e23,e23),
    inference(canonicalize,[],[normalize_4_25]) ).

cnf(refute_4_69,plain,
    ( h4(e13) != op2(e23,e23)
    | op2(e23,e23) = h4(e13) ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_4_70,plain,
    op2(e23,e23) = h4(e13),
    inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_4_68,refute_4_69]) ).

cnf(refute_4_71,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e23) != h4(e13)
    | h4(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(h4(e13))]]) ).

cnf(refute_4_72,plain,
    ( op2(e23,e23) != e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_4_70,refute_4_71]) ).

cnf(refute_4_73,plain,
    ( e23 = e20
    | h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_4_67,refute_4_72]) ).

cnf(refute_4_74,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_4_27]) ).

cnf(refute_4_75,plain,
    ( e23 != e20
    | e20 = e23 ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).

cnf(refute_4_76,plain,
    e23 != e20,
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_4_75,refute_4_74]) ).

cnf(refute_4_77,plain,
    ( h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(e23,e20) )],[refute_4_73,refute_4_76]) ).

cnf(refute_4_78,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(canonicalize,[],[normalize_4_28]) ).

cnf(refute_4_79,plain,
    op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).

cnf(refute_4_80,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).

cnf(refute_4_81,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_4_79,refute_4_80]) ).

cnf(refute_4_82,plain,
    op2(e23,op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_7,refute_4_81]) ).

cnf(refute_4_83,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_4_84,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).

cnf(refute_4_85,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_4_83,refute_4_84]) ).

cnf(refute_4_86,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_7,refute_4_85]) ).

cnf(refute_4_87,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_4_88,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_4_5,refute_4_87]) ).

cnf(refute_4_89,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(subst,[],[refute_4_88:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).

cnf(refute_4_90,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_4_86,refute_4_89]) ).

cnf(refute_4_91,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_4_82,refute_4_90]) ).

cnf(refute_4_92,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(subst,[],[refute_4_88:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).

cnf(refute_4_93,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_4_91,refute_4_92]) ).

cnf(refute_4_94,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_4_70,refute_4_93]) ).

cnf(refute_4_95,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
    | e21 = h4(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_4_96,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | e21 = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_4_94,refute_4_95]) ).

cnf(refute_4_97,plain,
    e21 = h4(e13),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_4_78,refute_4_96]) ).

cnf(refute_4_98,plain,
    ( e21 != h4(e13)
    | h4(e13) = e21 ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).

cnf(refute_4_99,plain,
    h4(e13) = e21,
    inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_4_97,refute_4_98]) ).

cnf(refute_4_100,plain,
    ( h4(e13) != e20
    | h4(e13) != e21
    | e21 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),e20) ),[0],$fot(e21)]]) ).

cnf(refute_4_101,plain,
    ( h4(e13) != e20
    | e21 = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_4_99,refute_4_100]) ).

cnf(refute_4_102,plain,
    ( e21 = e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_4_77,refute_4_101]) ).

cnf(refute_4_103,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_4_29]) ).

cnf(refute_4_104,plain,
    ( e21 != e20
    | e20 = e21 ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).

cnf(refute_4_105,plain,
    e21 != e20,
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_4_104,refute_4_103]) ).

cnf(refute_4_106,plain,
    h2(e13) = e20,
    inference(resolve,[$cnf( $equal(e21,e20) )],[refute_4_102,refute_4_105]) ).

cnf(refute_4_107,plain,
    ( h2(e13) != e20
    | h2(e13) != e22
    | e20 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[0],$fot(e20)]]) ).

cnf(refute_4_108,plain,
    ( h2(e13) != e22
    | e20 = e22 ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_4_106,refute_4_107]) ).

cnf(refute_4_109,plain,
    ( e20 = e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_4_60,refute_4_108]) ).

cnf(refute_4_110,plain,
    e20 != e22,
    inference(canonicalize,[],[normalize_4_30]) ).

cnf(refute_4_111,plain,
    h1(e13) = e22,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_4_109,refute_4_110]) ).

cnf(refute_4_112,plain,
    ( e22 != op2(e20,e22)
    | h1(e13) != e22
    | h1(e13) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[1],$fot(op2(e20,e22))]]) ).

cnf(refute_4_113,plain,
    ( e22 != op2(e20,e22)
    | h1(e13) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_4_111,refute_4_112]) ).

cnf(refute_4_114,plain,
    e22 != op2(e20,e22),
    inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_4_113,refute_4_45]) ).

cnf(refute_4_115,plain,
    ( op2(e20,e22) != e22
    | e22 = op2(e20,e22) ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(e22))]]) ).

cnf(refute_4_116,plain,
    op2(e20,e22) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e22)) )],[refute_4_115,refute_4_114]) ).

cnf(refute_4_117,plain,
    op2(e20,e22) = e21,
    inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_4_38,refute_4_116]) ).

cnf(refute_4_118,plain,
    ( e21 != op2(e21,e22)
    | op2(e20,e22) != e21
    | op2(e20,e22) = op2(e21,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[1],$fot(op2(e21,e22))]]) ).

cnf(refute_4_119,plain,
    ( e21 != op2(e21,e22)
    | op2(e20,e22) = op2(e21,e22) ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_4_117,refute_4_118]) ).

cnf(refute_4_120,plain,
    e21 != op2(e21,e22),
    inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_4_119,refute_4_27]) ).

cnf(refute_4_121,plain,
    ( op2(e21,e22) != e21
    | e21 = op2(e21,e22) ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(op2(e21,e22))),bind(Y,$fot(e21))]]) ).

cnf(refute_4_122,plain,
    op2(e21,e22) != e21,
    inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_4_121,refute_4_120]) ).

cnf(refute_4_123,plain,
    op2(e21,e22) = e22,
    inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_4_26,refute_4_122]) ).

cnf(refute_4_124,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(canonicalize,[],[normalize_4_32]) ).

cnf(refute_4_125,plain,
    ( op2(e20,e20) != e20
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).

cnf(refute_4_126,plain,
    ( op2(e20,e20) != e20
    | h1(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_4_42,refute_4_125]) ).

cnf(refute_4_127,plain,
    ( h1(e13) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_4_124,refute_4_126]) ).

cnf(refute_4_128,plain,
    ( h1(e13) != e20
    | h1(e13) != e22
    | e22 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[0],$fot(e22)]]) ).

cnf(refute_4_129,plain,
    ( h1(e13) != e20
    | e22 = e20 ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_4_111,refute_4_128]) ).

cnf(refute_4_130,plain,
    ( e22 = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_4_127,refute_4_129]) ).

cnf(refute_4_131,plain,
    h2(e10) = op2(op2(e21,e21),e21),
    inference(canonicalize,[],[normalize_4_33]) ).

cnf(refute_4_132,plain,
    op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
    introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).

cnf(refute_4_133,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
    | op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h2(e13))]]) ).

cnf(refute_4_134,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_4_132,refute_4_133]) ).

cnf(refute_4_135,plain,
    op2(op2(e21,e21),e21) = op2(h2(e13),e21),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_4_55,refute_4_134]) ).

cnf(refute_4_136,plain,
    ( h2(e10) != op2(op2(e21,e21),e21)
    | op2(op2(e21,e21),e21) != op2(h2(e13),e21)
    | h2(e10) = op2(h2(e13),e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(h2(e13),e21)) ),[0],$fot(op2(op2(e21,e21),e21))]]) ).

cnf(refute_4_137,plain,
    ( h2(e10) != op2(op2(e21,e21),e21)
    | h2(e10) = op2(h2(e13),e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h2(e13),e21)) )],[refute_4_135,refute_4_136]) ).

cnf(refute_4_138,plain,
    h2(e10) = op2(h2(e13),e21),
    inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),e21)) )],[refute_4_131,refute_4_137]) ).

cnf(refute_4_139,plain,
    op2(h2(e13),e21) = op2(h2(e13),e21),
    introduced(tautology,[refl,[$fot(op2(h2(e13),e21))]]) ).

cnf(refute_4_140,plain,
    ( h2(e13) != e20
    | op2(h2(e13),e21) != op2(h2(e13),e21)
    | op2(h2(e13),e21) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e21),op2(h2(e13),e21)) ),[1,0],$fot(e20)]]) ).

cnf(refute_4_141,plain,
    ( h2(e13) != e20
    | op2(h2(e13),e21) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),e21),op2(h2(e13),e21)) )],[refute_4_139,refute_4_140]) ).

cnf(refute_4_142,plain,
    op2(h2(e13),e21) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_4_106,refute_4_141]) ).

cnf(refute_4_143,plain,
    ( h2(e10) != op2(h2(e13),e21)
    | op2(h2(e13),e21) != op2(e20,e21)
    | h2(e10) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(e20,e21)) ),[0],$fot(op2(h2(e13),e21))]]) ).

cnf(refute_4_144,plain,
    ( h2(e10) != op2(h2(e13),e21)
    | h2(e10) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),e21),op2(e20,e21)) )],[refute_4_142,refute_4_143]) ).

cnf(refute_4_145,plain,
    h2(e10) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_4_138,refute_4_144]) ).

cnf(refute_4_146,plain,
    ( h2(e10) != op2(e20,e21)
    | op2(e20,e21) = h2(e10) ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_4_147,plain,
    op2(e20,e21) = h2(e10),
    inference(resolve,[$cnf( $equal(h2(e10),op2(e20,e21)) )],[refute_4_145,refute_4_146]) ).

cnf(refute_4_148,plain,
    ( op2(e20,e21) != e20
    | op2(e20,e21) != h2(e10)
    | h2(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[0],$fot(h2(e10))]]) ).

cnf(refute_4_149,plain,
    ( op2(e20,e21) != e20
    | h2(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e10)) )],[refute_4_147,refute_4_148]) ).

cnf(refute_4_150,plain,
    ( e22 = e20
    | h2(e10) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_4_130,refute_4_149]) ).

cnf(refute_4_151,plain,
    ( op2(e20,e22) != e20
    | op2(e20,e22) != e21
    | e21 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e20) ),[0],$fot(e21)]]) ).

cnf(refute_4_152,plain,
    ( op2(e20,e22) != e20
    | e21 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_4_117,refute_4_151]) ).

cnf(refute_4_153,plain,
    ( e21 = e20
    | e22 = e20
    | h2(e10) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_4_150,refute_4_152]) ).

cnf(refute_4_154,plain,
    ( e22 = e20
    | h2(e10) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(e21,e20) )],[refute_4_153,refute_4_105]) ).

cnf(refute_4_155,plain,
    ( e22 != e20
    | e20 = e22 ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).

cnf(refute_4_156,plain,
    e22 != e20,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_4_155,refute_4_110]) ).

cnf(refute_4_157,plain,
    ( h2(e10) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(e22,e20) )],[refute_4_154,refute_4_156]) ).

cnf(refute_4_158,plain,
    op2(e20,e21) != op2(e21,e21),
    inference(canonicalize,[],[normalize_4_34]) ).

cnf(refute_4_159,plain,
    ( op2(e20,e21) != h2(e13)
    | op2(e21,e21) != h2(e13)
    | op2(e20,e21) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e13))]]) ).

cnf(refute_4_160,plain,
    ( op2(e20,e21) != h2(e13)
    | op2(e20,e21) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_4_55,refute_4_159]) ).

cnf(refute_4_161,plain,
    op2(e20,e21) != h2(e13),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_4_160,refute_4_158]) ).

cnf(refute_4_162,plain,
    ( h2(e10) != h2(e13)
    | op2(e20,e21) != h2(e10)
    | op2(e20,e21) = h2(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),h2(e10)) ),[1],$fot(h2(e13))]]) ).

cnf(refute_4_163,plain,
    ( h2(e10) != h2(e13)
    | op2(e20,e21) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e10)) )],[refute_4_147,refute_4_162]) ).

cnf(refute_4_164,plain,
    ( h2(e10) != e20
    | h2(e13) != e20
    | h2(e10) = h2(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e13)) ),[1],$fot(e20)]]) ).

cnf(refute_4_165,plain,
    ( h2(e10) != e20
    | h2(e10) = h2(e13) ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_4_106,refute_4_164]) ).

cnf(refute_4_166,plain,
    ( h2(e10) != e20
    | op2(e20,e21) = h2(e13) ),
    inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_4_165,refute_4_163]) ).

cnf(refute_4_167,plain,
    h2(e10) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e13)) )],[refute_4_166,refute_4_161]) ).

cnf(refute_4_168,plain,
    op2(e20,e23) = e20,
    inference(resolve,[$cnf( $equal(h2(e10),e20) )],[refute_4_157,refute_4_167]) ).

cnf(refute_4_169,plain,
    h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
    inference(canonicalize,[],[normalize_4_41]) ).

cnf(refute_4_170,plain,
    h4(e12) = e23,
    inference(canonicalize,[],[normalize_4_42]) ).

cnf(refute_4_171,plain,
    ( op1(e12,e12) != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(canonicalize,[],[normalize_4_46]) ).

cnf(refute_4_172,plain,
    e13 = op1(e12,e12),
    inference(canonicalize,[],[normalize_4_48]) ).

cnf(refute_4_173,plain,
    ( e13 != op1(e12,e12)
    | op1(e12,e12) = e13 ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).

cnf(refute_4_174,plain,
    op1(e12,e12) = e13,
    inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_4_172,refute_4_173]) ).

cnf(refute_4_175,plain,
    ( e13 != e13
    | op1(e12,e12) != e13
    | op1(e12,e12) = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(e13)]]) ).

cnf(refute_4_176,plain,
    ( e13 != e13
    | op1(e12,e12) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_174,refute_4_175]) ).

cnf(refute_4_177,plain,
    ( e13 != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_176,refute_4_171]) ).

cnf(refute_4_178,plain,
    e13 = e13,
    introduced(tautology,[refl,[$fot(e13)]]) ).

cnf(refute_4_179,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(resolve,[$cnf( $equal(e13,e13) )],[refute_4_178,refute_4_177]) ).

cnf(refute_4_180,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(canonicalize,[],[normalize_4_51]) ).

cnf(refute_4_181,plain,
    ( op1(e12,e12) != e10
    | op1(e12,e12) != e13
    | e13 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[0],$fot(e13)]]) ).

cnf(refute_4_182,plain,
    ( op1(e12,e12) != e10
    | e13 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_174,refute_4_181]) ).

cnf(refute_4_183,plain,
    ( e13 = e10
    | op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_4_180,refute_4_182]) ).

cnf(refute_4_184,plain,
    e10 != e13,
    inference(canonicalize,[],[normalize_4_53]) ).

cnf(refute_4_185,plain,
    ( e13 != e10
    | e10 = e13 ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).

cnf(refute_4_186,plain,
    e13 != e10,
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_4_185,refute_4_184]) ).

cnf(refute_4_187,plain,
    ( op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(e13,e10) )],[refute_4_183,refute_4_186]) ).

cnf(refute_4_188,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(canonicalize,[],[normalize_4_54]) ).

cnf(refute_4_189,plain,
    op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).

cnf(refute_4_190,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).

cnf(refute_4_191,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_4_189,refute_4_190]) ).

cnf(refute_4_192,plain,
    op1(e13,op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_174,refute_4_191]) ).

cnf(refute_4_193,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_4_194,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).

cnf(refute_4_195,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_4_193,refute_4_194]) ).

cnf(refute_4_196,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_174,refute_4_195]) ).

cnf(refute_4_197,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(subst,[],[refute_4_88:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).

cnf(refute_4_198,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_4_196,refute_4_197]) ).

cnf(refute_4_199,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_4_192,refute_4_198]) ).

cnf(refute_4_200,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
    | e11 = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_4_201,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | e11 = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_4_199,refute_4_200]) ).

cnf(refute_4_202,plain,
    e11 = op1(e13,e13),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_4_188,refute_4_201]) ).

cnf(refute_4_203,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_4_204,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_4_202,refute_4_203]) ).

cnf(refute_4_205,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e13) != e11
    | e11 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).

cnf(refute_4_206,plain,
    ( op1(e13,e13) != e10
    | e11 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_4_204,refute_4_205]) ).

cnf(refute_4_207,plain,
    ( e11 = e10
    | op1(e11,e11) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_4_187,refute_4_206]) ).

cnf(refute_4_208,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_4_55]) ).

cnf(refute_4_209,plain,
    ( e11 != e10
    | e10 = e11 ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).

cnf(refute_4_210,plain,
    e11 != e10,
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_4_209,refute_4_208]) ).

cnf(refute_4_211,plain,
    op1(e11,e11) = e10,
    inference(resolve,[$cnf( $equal(e11,e10) )],[refute_4_207,refute_4_210]) ).

cnf(refute_4_212,plain,
    ( op1(e11,e11) != e10
    | op1(e11,e11) != e12
    | e10 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[0],$fot(e10)]]) ).

cnf(refute_4_213,plain,
    ( op1(e11,e11) != e12
    | e10 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_4_211,refute_4_212]) ).

cnf(refute_4_214,plain,
    ( e10 = e12
    | op1(e10,e10) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_4_179,refute_4_213]) ).

cnf(refute_4_215,plain,
    e10 != e12,
    inference(canonicalize,[],[normalize_4_56]) ).

cnf(refute_4_216,plain,
    op1(e10,e10) = e12,
    inference(resolve,[$cnf( $equal(e10,e12) )],[refute_4_214,refute_4_215]) ).

cnf(refute_4_217,plain,
    h4(op1(e10,e10)) = h4(op1(e10,e10)),
    introduced(tautology,[refl,[$fot(h4(op1(e10,e10)))]]) ).

cnf(refute_4_218,plain,
    ( h4(op1(e10,e10)) != h4(op1(e10,e10))
    | op1(e10,e10) != e12
    | h4(op1(e10,e10)) = h4(e12) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) ),[1,0],$fot(e12)]]) ).

cnf(refute_4_219,plain,
    ( op1(e10,e10) != e12
    | h4(op1(e10,e10)) = h4(e12) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) )],[refute_4_217,refute_4_218]) ).

cnf(refute_4_220,plain,
    h4(op1(e10,e10)) = h4(e12),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_4_216,refute_4_219]) ).

cnf(refute_4_221,plain,
    ( h4(e12) != e23
    | h4(op1(e10,e10)) != h4(e12)
    | h4(op1(e10,e10)) = e23 ),
    inference(subst,[],[refute_4_88:[bind(X,$fot(h4(op1(e10,e10)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e23))]]) ).

cnf(refute_4_222,plain,
    ( h4(e12) != e23
    | h4(op1(e10,e10)) = e23 ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(e12)) )],[refute_4_220,refute_4_221]) ).

cnf(refute_4_223,plain,
    h4(op1(e10,e10)) = e23,
    inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_4_170,refute_4_222]) ).

cnf(refute_4_224,plain,
    ( h4(op1(e10,e10)) != e23
    | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | e23 = op2(h4(e10),h4(e10)) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[0],$fot(e23)]]) ).

cnf(refute_4_225,plain,
    ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | e23 = op2(h4(e10),h4(e10)) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e23) )],[refute_4_223,refute_4_224]) ).

cnf(refute_4_226,plain,
    e23 = op2(h4(e10),h4(e10)),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_4_169,refute_4_225]) ).

cnf(refute_4_227,plain,
    ( h4(e13) != e21
    | h4(e13) != op2(e23,e23)
    | e21 = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e23,e23)) ),[0],$fot(e21)]]) ).

cnf(refute_4_228,plain,
    ( h4(e13) != op2(e23,e23)
    | e21 = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_4_99,refute_4_227]) ).

cnf(refute_4_229,plain,
    e21 = op2(e23,e23),
    inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_4_68,refute_4_228]) ).

cnf(refute_4_230,plain,
    ( e21 != op2(e23,e23)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_4_231,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_4_229,refute_4_230]) ).

cnf(refute_4_232,plain,
    ( op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23
    | op2(e23,e23) = e23 ),
    inference(canonicalize,[],[normalize_4_57]) ).

cnf(refute_4_233,plain,
    ( op2(e23,e23) != e23
    | op2(e23,e23) != h4(e13)
    | h4(e13) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).

cnf(refute_4_234,plain,
    ( op2(e23,e23) != e23
    | h4(e13) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_4_70,refute_4_233]) ).

cnf(refute_4_235,plain,
    ( h4(e13) = e23
    | op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_4_232,refute_4_234]) ).

cnf(refute_4_236,plain,
    op2(e22,e22) != op2(e22,e23),
    inference(canonicalize,[],[normalize_4_58]) ).

cnf(refute_4_237,plain,
    ( e23 != op2(e22,e23)
    | op2(e22,e22) != e23
    | op2(e22,e22) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).

cnf(refute_4_238,plain,
    ( e23 != op2(e22,e23)
    | op2(e22,e22) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_7,refute_4_237]) ).

cnf(refute_4_239,plain,
    e23 != op2(e22,e23),
    inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_4_238,refute_4_236]) ).

cnf(refute_4_240,plain,
    ( op2(e22,e23) != e23
    | e23 = op2(e22,e23) ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).

cnf(refute_4_241,plain,
    op2(e22,e23) != e23,
    inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_4_240,refute_4_239]) ).

cnf(refute_4_242,plain,
    ( h4(e13) = e23
    | op2(e20,e23) = e23
    | op2(e21,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_4_235,refute_4_241]) ).

cnf(refute_4_243,plain,
    ( h4(e13) != e21
    | h4(e13) != e23
    | e21 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e21)]]) ).

cnf(refute_4_244,plain,
    ( h4(e13) != e23
    | e21 = e23 ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_4_99,refute_4_243]) ).

cnf(refute_4_245,plain,
    ( e21 = e23
    | op2(e20,e23) = e23
    | op2(e21,e23) = e23 ),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_4_242,refute_4_244]) ).

cnf(refute_4_246,plain,
    h4(e10) = op2(op2(e23,e23),e23),
    inference(canonicalize,[],[normalize_4_59]) ).

cnf(refute_4_247,plain,
    op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).

cnf(refute_4_248,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
    | op2(op2(e23,e23),e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).

cnf(refute_4_249,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_4_247,refute_4_248]) ).

cnf(refute_4_250,plain,
    op2(op2(e23,e23),e23) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_231,refute_4_249]) ).

cnf(refute_4_251,plain,
    ( h4(e10) != op2(op2(e23,e23),e23)
    | op2(op2(e23,e23),e23) != op2(e21,e23)
    | h4(e10) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).

cnf(refute_4_252,plain,
    ( h4(e10) != op2(op2(e23,e23),e23)
    | h4(e10) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_4_250,refute_4_251]) ).

cnf(refute_4_253,plain,
    h4(e10) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_4_246,refute_4_252]) ).

cnf(refute_4_254,plain,
    ( h4(e10) != op2(e21,e23)
    | op2(e21,e23) = h4(e10) ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_4_255,plain,
    op2(e21,e23) = h4(e10),
    inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_4_253,refute_4_254]) ).

cnf(refute_4_256,plain,
    ( op2(e21,e23) != e23
    | op2(e21,e23) != h4(e10)
    | h4(e10) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(h4(e10))]]) ).

cnf(refute_4_257,plain,
    ( op2(e21,e23) != e23
    | h4(e10) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_4_255,refute_4_256]) ).

cnf(refute_4_258,plain,
    ( e21 = e23
    | h4(e10) = e23
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_4_245,refute_4_257]) ).

cnf(refute_4_259,plain,
    e21 != e23,
    inference(canonicalize,[],[normalize_4_60]) ).

cnf(refute_4_260,plain,
    ( h4(e10) = e23
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_4_258,refute_4_259]) ).

cnf(refute_4_261,plain,
    ( op2(e20,e23) != e20
    | op2(e20,e23) != e23
    | e20 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(e20)]]) ).

cnf(refute_4_262,plain,
    ( op2(e20,e23) != e23
    | e20 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_4_168,refute_4_261]) ).

cnf(refute_4_263,plain,
    ( e20 = e23
    | h4(e10) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_4_260,refute_4_262]) ).

cnf(refute_4_264,plain,
    h4(e10) = e23,
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_4_263,refute_4_74]) ).

cnf(refute_4_265,plain,
    op2(e23,h4(e10)) = op2(e23,h4(e10)),
    introduced(tautology,[refl,[$fot(op2(e23,h4(e10)))]]) ).

cnf(refute_4_266,plain,
    ( h4(e10) != e23
    | op2(e23,h4(e10)) != op2(e23,h4(e10))
    | op2(e23,h4(e10)) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) ),[1,1],$fot(e23)]]) ).

cnf(refute_4_267,plain,
    ( h4(e10) != e23
    | op2(e23,h4(e10)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) )],[refute_4_265,refute_4_266]) ).

cnf(refute_4_268,plain,
    op2(e23,h4(e10)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_4_264,refute_4_267]) ).

cnf(refute_4_269,plain,
    op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
    introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).

cnf(refute_4_270,plain,
    ( h4(e10) != e23
    | op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
    | op2(h4(e10),h4(e10)) = op2(e23,h4(e10)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e23)]]) ).

cnf(refute_4_271,plain,
    ( h4(e10) != e23
    | op2(h4(e10),h4(e10)) = op2(e23,h4(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_4_269,refute_4_270]) ).

cnf(refute_4_272,plain,
    op2(h4(e10),h4(e10)) = op2(e23,h4(e10)),
    inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_4_264,refute_4_271]) ).

cnf(refute_4_273,plain,
    ( op2(e23,h4(e10)) != op2(e23,e23)
    | op2(h4(e10),h4(e10)) != op2(e23,h4(e10))
    | op2(h4(e10),h4(e10)) = op2(e23,e23) ),
    inference(subst,[],[refute_4_88:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e23,h4(e10)))),bind(Z,$fot(op2(e23,e23)))]]) ).

cnf(refute_4_274,plain,
    ( op2(e23,h4(e10)) != op2(e23,e23)
    | op2(h4(e10),h4(e10)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e23,h4(e10))) )],[refute_4_272,refute_4_273]) ).

cnf(refute_4_275,plain,
    op2(h4(e10),h4(e10)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,e23)) )],[refute_4_268,refute_4_274]) ).

cnf(refute_4_276,plain,
    ( op2(e23,e23) != e21
    | op2(h4(e10),h4(e10)) != op2(e23,e23)
    | op2(h4(e10),h4(e10)) = e21 ),
    inference(subst,[],[refute_4_88:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(e21))]]) ).

cnf(refute_4_277,plain,
    ( op2(e23,e23) != e21
    | op2(h4(e10),h4(e10)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e23,e23)) )],[refute_4_275,refute_4_276]) ).

cnf(refute_4_278,plain,
    op2(h4(e10),h4(e10)) = e21,
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_4_231,refute_4_277]) ).

cnf(refute_4_279,plain,
    ( e23 != op2(h4(e10),h4(e10))
    | op2(h4(e10),h4(e10)) != e21
    | e23 = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e23,e21) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).

cnf(refute_4_280,plain,
    ( e23 != op2(h4(e10),h4(e10))
    | e23 = e21 ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),e21) )],[refute_4_278,refute_4_279]) ).

cnf(refute_4_281,plain,
    e23 = e21,
    inference(resolve,[$cnf( $equal(e23,op2(h4(e10),h4(e10))) )],[refute_4_226,refute_4_280]) ).

cnf(refute_4_282,plain,
    ( op2(e20,e20) = e23
    | op2(e20,e21) = e23
    | op2(e20,e22) = e23
    | op2(e20,e23) = e23 ),
    inference(canonicalize,[],[normalize_4_61]) ).

cnf(refute_4_283,plain,
    ( op2(e20,e20) != e23
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).

cnf(refute_4_284,plain,
    ( op2(e20,e20) != e23
    | h1(e13) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_4_42,refute_4_283]) ).

cnf(refute_4_285,plain,
    ( h1(e13) = e23
    | op2(e20,e21) = e23
    | op2(e20,e22) = e23
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_4_282,refute_4_284]) ).

cnf(refute_4_286,plain,
    ( h1(e13) = e23
    | op2(e20,e21) = e23
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_4_285,refute_4_32]) ).

cnf(refute_4_287,plain,
    ( h1(e13) != e22
    | h1(e13) != e23
    | e22 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e13),e23) ),[0],$fot(e22)]]) ).

cnf(refute_4_288,plain,
    ( h1(e13) != e23
    | e22 = e23 ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_4_111,refute_4_287]) ).

cnf(refute_4_289,plain,
    ( e22 = e23
    | op2(e20,e21) = e23
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_4_286,refute_4_288]) ).

cnf(refute_4_290,plain,
    ( op2(e20,e21) != e23
    | op2(e20,e21) != h2(e10)
    | h2(e10) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e23) ),[0],$fot(h2(e10))]]) ).

cnf(refute_4_291,plain,
    ( op2(e20,e21) != e23
    | h2(e10) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e10)) )],[refute_4_147,refute_4_290]) ).

cnf(refute_4_292,plain,
    ( e22 = e23
    | h2(e10) = e23
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_4_289,refute_4_291]) ).

cnf(refute_4_293,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_4_62]) ).

cnf(refute_4_294,plain,
    ( h2(e10) = e23
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_4_292,refute_4_293]) ).

cnf(refute_4_295,plain,
    ( e20 = e23
    | h2(e10) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_4_294,refute_4_262]) ).

cnf(refute_4_296,plain,
    h2(e10) = e23,
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_4_295,refute_4_74]) ).

cnf(refute_4_297,plain,
    ( h2(e10) != e23
    | h2(e10) != op2(e20,e21)
    | e23 = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(e20,e21)) ),[0],$fot(e23)]]) ).

cnf(refute_4_298,plain,
    ( h2(e10) != op2(e20,e21)
    | e23 = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(h2(e10),e23) )],[refute_4_296,refute_4_297]) ).

cnf(refute_4_299,plain,
    e23 = op2(e20,e21),
    inference(resolve,[$cnf( $equal(h2(e10),op2(e20,e21)) )],[refute_4_145,refute_4_298]) ).

cnf(refute_4_300,plain,
    ( e23 != op2(e20,e21)
    | op2(e20,e21) = e23 ),
    inference(subst,[],[refute_4_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_4_301,plain,
    op2(e20,e21) = e23,
    inference(resolve,[$cnf( $equal(e23,op2(e20,e21)) )],[refute_4_299,refute_4_300]) ).

cnf(refute_4_302,plain,
    ( e23 != e21
    | op2(e20,e21) != e23
    | op2(e20,e21) = e21 ),
    inference(subst,[],[refute_4_88:[bind(X,$fot(op2(e20,e21))),bind(Y,$fot(e23)),bind(Z,$fot(e21))]]) ).

cnf(refute_4_303,plain,
    ( e23 != e21
    | op2(e20,e21) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_4_301,refute_4_302]) ).

cnf(refute_4_304,plain,
    op2(e20,e21) = e21,
    inference(resolve,[$cnf( $equal(e23,e21) )],[refute_4_281,refute_4_303]) ).

cnf(refute_4_305,plain,
    op2(e20,e23) = op2(e20,e23),
    introduced(tautology,[refl,[$fot(op2(e20,e23))]]) ).

cnf(refute_4_306,plain,
    ( e23 != e21
    | op2(e20,e23) != op2(e20,e23)
    | op2(e20,e23) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),op2(e20,e23)) ),[1,1],$fot(e21)]]) ).

cnf(refute_4_307,plain,
    ( e23 != e21
    | op2(e20,e23) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e20,e23)) )],[refute_4_305,refute_4_306]) ).

cnf(refute_4_308,plain,
    op2(e20,e23) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(e23,e21) )],[refute_4_281,refute_4_307]) ).

cnf(refute_4_309,plain,
    ( op2(e20,e21) != e21
    | op2(e20,e23) != op2(e20,e21)
    | op2(e20,e23) = e21 ),
    inference(subst,[],[refute_4_88:[bind(X,$fot(op2(e20,e23))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(e21))]]) ).

cnf(refute_4_310,plain,
    ( op2(e20,e21) != e21
    | op2(e20,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e20,e21)) )],[refute_4_308,refute_4_309]) ).

cnf(refute_4_311,plain,
    op2(e20,e23) = e21,
    inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_4_304,refute_4_310]) ).

cnf(refute_4_312,plain,
    ( op2(e20,e23) != e20
    | op2(e20,e23) != e21
    | e21 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(e21)]]) ).

cnf(refute_4_313,plain,
    ( op2(e20,e23) != e20
    | e21 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_4_311,refute_4_312]) ).

cnf(refute_4_314,plain,
    e21 = e20,
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_4_168,refute_4_313]) ).

cnf(refute_4_315,plain,
    ( e21 != e20
    | op2(e20,e22) != e21
    | op2(e20,e22) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[1],$fot(e20)]]) ).

cnf(refute_4_316,plain,
    ( op2(e20,e22) != e21
    | op2(e20,e22) = e20 ),
    inference(resolve,[$cnf( $equal(e21,e20) )],[refute_4_314,refute_4_315]) ).

cnf(refute_4_317,plain,
    op2(e20,e22) = e20,
    inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_4_117,refute_4_316]) ).

cnf(refute_4_318,plain,
    op2(e21,e22) = op2(e21,e22),
    introduced(tautology,[refl,[$fot(op2(e21,e22))]]) ).

cnf(refute_4_319,plain,
    ( e21 != e20
    | op2(e21,e22) != op2(e21,e22)
    | op2(e21,e22) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),op2(e21,e22)) ),[1,0],$fot(e20)]]) ).

cnf(refute_4_320,plain,
    ( e21 != e20
    | op2(e21,e22) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e21,e22)) )],[refute_4_318,refute_4_319]) ).

cnf(refute_4_321,plain,
    op2(e21,e22) = op2(e20,e22),
    inference(resolve,[$cnf( $equal(e21,e20) )],[refute_4_314,refute_4_320]) ).

cnf(refute_4_322,plain,
    ( op2(e20,e22) != e20
    | op2(e21,e22) != op2(e20,e22)
    | op2(e21,e22) = e20 ),
    inference(subst,[],[refute_4_88:[bind(X,$fot(op2(e21,e22))),bind(Y,$fot(op2(e20,e22))),bind(Z,$fot(e20))]]) ).

cnf(refute_4_323,plain,
    ( op2(e20,e22) != e20
    | op2(e21,e22) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e20,e22)) )],[refute_4_321,refute_4_322]) ).

cnf(refute_4_324,plain,
    op2(e21,e22) = e20,
    inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_4_317,refute_4_323]) ).

cnf(refute_4_325,plain,
    ( op2(e21,e22) != e20
    | op2(e21,e22) != e22
    | e20 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[0],$fot(e20)]]) ).

cnf(refute_4_326,plain,
    ( op2(e21,e22) != e22
    | e20 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_4_324,refute_4_325]) ).

cnf(refute_4_327,plain,
    e20 = e22,
    inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_4_123,refute_4_326]) ).

cnf(refute_4_328,plain,
    $false,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_4_327,refute_4_110]) ).

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

fof(normalize_5_1,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(conjunct,[],[normalize_5_0]) ).

fof(normalize_5_2,plain,
    ( h1(e10) = op2(op2(e20,e20),e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = e20
    & h1(e13) = op2(e20,e20) ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_5_3,plain,
    h1(e13) = op2(e20,e20),
    inference(conjunct,[],[normalize_5_2]) ).

fof(normalize_5_4,plain,
    ( ( ( op2(e20,e20) != e21
        & op2(e21,e21) = e20 )
      | ( op2(e20,e20) != e22
        & op2(e22,e22) = e20 )
      | ( op2(e20,e20) != e23
        & op2(e23,e23) = e20 ) )
    & ( ( op2(e21,e21) != e20
        & op2(e20,e20) = e21 )
      | ( op2(e21,e21) != e22
        & op2(e22,e22) = e21 )
      | ( op2(e21,e21) != e23
        & op2(e23,e23) = e21 ) )
    & ( ( op2(e22,e22) != e20
        & op2(e20,e20) = e22 )
      | ( op2(e22,e22) != e21
        & op2(e21,e21) = e22 )
      | ( op2(e22,e22) != e23
        & op2(e23,e23) = e22 ) )
    & ( ( op2(e23,e23) != e20
        & op2(e20,e20) = e23 )
      | ( op2(e23,e23) != e21
        & op2(e21,e21) = e23 )
      | ( op2(e23,e23) != e22
        & op2(e22,e22) = e23 ) ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_5_5,plain,
    ( ( op2(e22,e22) != e20
      & op2(e20,e20) = e22 )
    | ( op2(e22,e22) != e21
      & op2(e21,e21) = e22 )
    | ( op2(e22,e22) != e23
      & op2(e23,e23) = e22 ) ),
    inference(conjunct,[],[normalize_5_4]) ).

fof(normalize_5_6,plain,
    ( ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e23
      | op2(e21,e21) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e22) != e23
      | op2(e20,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e20,e20) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e20,e20) = e22
      | op2(e21,e21) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 ) ),
    inference(clausify,[],[normalize_5_5]) ).

fof(normalize_5_7,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(conjunct,[],[normalize_5_6]) ).

fof(normalize_5_8,plain,
    ( e20 = op2(op2(e22,e22),e22)
    & e21 = op2(op2(e22,e22),op2(e22,e22))
    & e23 = op2(e22,e22) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_5_9,plain,
    e23 = op2(e22,e22),
    inference(conjunct,[],[normalize_5_8]) ).

fof(normalize_5_10,plain,
    ( h2(e10) = op2(op2(e21,e21),e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = e21
    & h2(e13) = op2(e21,e21) ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_5_11,plain,
    h2(e13) = op2(e21,e21),
    inference(conjunct,[],[normalize_5_10]) ).

fof(normalize_5_12,plain,
    ( ( op2(e20,e20) != e21
      & op2(e21,e21) = e20 )
    | ( op2(e20,e20) != e22
      & op2(e22,e22) = e20 )
    | ( op2(e20,e20) != e23
      & op2(e23,e23) = e20 ) ),
    inference(conjunct,[],[normalize_5_4]) ).

fof(normalize_5_13,plain,
    ( ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e20,e20) != e23 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e23
      | op2(e22,e22) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e20) != e23
      | op2(e21,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e21) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e21) = e20
      | op2(e22,e22) = e20 )
    & ( op2(e21,e21) = e20
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 ) ),
    inference(clausify,[],[normalize_5_12]) ).

fof(normalize_5_14,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(conjunct,[],[normalize_5_13]) ).

fof(normalize_5_15,plain,
    ( h4(e10) = op2(op2(e23,e23),e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = e23
    & h4(e13) = op2(e23,e23) ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_5_16,plain,
    h4(e13) = op2(e23,e23),
    inference(conjunct,[],[normalize_5_15]) ).

fof(normalize_5_17,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_5_18,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_5_17]) ).

fof(normalize_5_19,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(conjunct,[],[normalize_5_8]) ).

fof(normalize_5_20,plain,
    ( op2(e20,e20) != op2(e20,e21)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e20) != op2(e21,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e22) != op2(e23,e23) ),
    inference(canonicalize,[],[ax6]) ).

fof(normalize_5_21,plain,
    op2(e23,e22) != op2(e23,e23),
    inference(conjunct,[],[normalize_5_20]) ).

fof(normalize_5_22,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(conjunct,[],[normalize_5_8]) ).

fof(normalize_5_23,plain,
    e20 != e22,
    inference(conjunct,[],[normalize_5_17]) ).

fof(normalize_5_24,plain,
    h2(e10) = op2(op2(e21,e21),e21),
    inference(conjunct,[],[normalize_5_10]) ).

fof(normalize_5_25,plain,
    op2(e20,e21) != op2(e21,e21),
    inference(conjunct,[],[normalize_5_20]) ).

fof(normalize_5_26,plain,
    op2(e20,e22) != op2(e23,e22),
    inference(conjunct,[],[normalize_5_20]) ).

fof(normalize_5_27,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_28,plain,
    h1(e12) = e20,
    inference(conjunct,[],[normalize_5_2]) ).

fof(normalize_5_29,plain,
    h2(e12) = e21,
    inference(conjunct,[],[normalize_5_10]) ).

fof(normalize_5_30,plain,
    ( h3(e10) = op2(op2(e22,e22),e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = e22
    & h3(e13) = op2(e22,e22) ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_5_31,plain,
    h3(e12) = e22,
    inference(conjunct,[],[normalize_5_30]) ).

fof(normalize_5_32,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_27,normalize_5_28,normalize_5_29,normalize_5_31]) ).

fof(normalize_5_33,plain,
    h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
    inference(conjunct,[],[normalize_5_32]) ).

fof(normalize_5_34,plain,
    h4(e12) = e23,
    inference(conjunct,[],[normalize_5_15]) ).

fof(normalize_5_35,plain,
    ( ( ( op1(e10,e10) != e11
        & op1(e11,e11) = e10 )
      | ( op1(e10,e10) != e12
        & op1(e12,e12) = e10 )
      | ( op1(e10,e10) != e13
        & op1(e13,e13) = e10 ) )
    & ( ( op1(e11,e11) != e10
        & op1(e10,e10) = e11 )
      | ( op1(e11,e11) != e12
        & op1(e12,e12) = e11 )
      | ( op1(e11,e11) != e13
        & op1(e13,e13) = e11 ) )
    & ( ( op1(e12,e12) != e10
        & op1(e10,e10) = e12 )
      | ( op1(e12,e12) != e11
        & op1(e11,e11) = e12 )
      | ( op1(e12,e12) != e13
        & op1(e13,e13) = e12 ) )
    & ( ( op1(e13,e13) != e10
        & op1(e10,e10) = e13 )
      | ( op1(e13,e13) != e11
        & op1(e11,e11) = e13 )
      | ( op1(e13,e13) != e12
        & op1(e12,e12) = e13 ) ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_5_36,plain,
    ( ( op1(e12,e12) != e10
      & op1(e10,e10) = e12 )
    | ( op1(e12,e12) != e11
      & op1(e11,e11) = e12 )
    | ( op1(e12,e12) != e13
      & op1(e13,e13) = e12 ) ),
    inference(conjunct,[],[normalize_5_35]) ).

fof(normalize_5_37,plain,
    ( ( op1(e12,e12) != e10
      | op1(e12,e12) != e11
      | op1(e12,e12) != e13 )
    & ( op1(e12,e12) != e10
      | op1(e12,e12) != e11
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e10
      | op1(e12,e12) != e13
      | op1(e11,e11) = e12 )
    & ( op1(e12,e12) != e10
      | op1(e11,e11) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e12) != e13
      | op1(e10,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e10,e10) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e10,e10) = e12
      | op1(e11,e11) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e11) = e12
      | op1(e13,e13) = e12 ) ),
    inference(clausify,[],[normalize_5_36]) ).

fof(normalize_5_38,plain,
    ( op1(e12,e12) != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(conjunct,[],[normalize_5_37]) ).

fof(normalize_5_39,plain,
    ( e10 = op1(op1(e12,e12),e12)
    & e11 = op1(op1(e12,e12),op1(e12,e12))
    & e13 = op1(e12,e12) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_5_40,plain,
    e13 = op1(e12,e12),
    inference(conjunct,[],[normalize_5_39]) ).

fof(normalize_5_41,plain,
    ( ( op1(e10,e10) != e11
      & op1(e11,e11) = e10 )
    | ( op1(e10,e10) != e12
      & op1(e12,e12) = e10 )
    | ( op1(e10,e10) != e13
      & op1(e13,e13) = e10 ) ),
    inference(conjunct,[],[normalize_5_35]) ).

fof(normalize_5_42,plain,
    ( ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e10,e10) != e13 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e13
      | op1(e12,e12) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e10) != e13
      | op1(e11,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e11) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e11) = e10
      | op1(e12,e12) = e10 )
    & ( op1(e11,e11) = e10
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 ) ),
    inference(clausify,[],[normalize_5_41]) ).

fof(normalize_5_43,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(conjunct,[],[normalize_5_42]) ).

fof(normalize_5_44,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_5_45,plain,
    e10 != e13,
    inference(conjunct,[],[normalize_5_44]) ).

fof(normalize_5_46,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(conjunct,[],[normalize_5_39]) ).

fof(normalize_5_47,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_5_44]) ).

fof(normalize_5_48,plain,
    e10 != e12,
    inference(conjunct,[],[normalize_5_44]) ).

fof(normalize_5_49,plain,
    ( op2(e21,e20) = e23
    | op2(e21,e21) = e23
    | op2(e21,e22) = e23
    | op2(e21,e23) = e23 ),
    inference(conjunct,[],[normalize_5_0]) ).

fof(normalize_5_50,plain,
    op2(e21,e22) != op2(e22,e22),
    inference(conjunct,[],[normalize_5_20]) ).

fof(normalize_5_51,plain,
    h4(e10) = op2(op2(e23,e23),e23),
    inference(conjunct,[],[normalize_5_15]) ).

fof(normalize_5_52,plain,
    ( op2(e20,e20) = e21
    | op2(e21,e20) = e21
    | op2(e22,e20) = e21
    | op2(e23,e20) = e21 ),
    inference(conjunct,[],[normalize_5_0]) ).

fof(normalize_5_53,plain,
    h1(e10) = op2(op2(e20,e20),e20),
    inference(conjunct,[],[normalize_5_2]) ).

fof(normalize_5_54,plain,
    op2(e20,e23) != op2(e22,e23),
    inference(conjunct,[],[normalize_5_20]) ).

fof(normalize_5_55,plain,
    ( op2(e22,e20) = e20
    | op2(e22,e21) = e20
    | op2(e22,e22) = e20
    | op2(e22,e23) = e20 ),
    inference(conjunct,[],[normalize_5_0]) ).

fof(normalize_5_56,plain,
    op2(e21,e21) != op2(e22,e21),
    inference(conjunct,[],[normalize_5_20]) ).

fof(normalize_5_57,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_5_17]) ).

fof(normalize_5_58,plain,
    op2(e23,e20) != op2(e23,e23),
    inference(conjunct,[],[normalize_5_20]) ).

fof(normalize_5_59,plain,
    e21 != e23,
    inference(conjunct,[],[normalize_5_17]) ).

cnf(refute_5_0,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(canonicalize,[],[normalize_5_1]) ).

cnf(refute_5_1,plain,
    h1(e13) = op2(e20,e20),
    inference(canonicalize,[],[normalize_5_3]) ).

cnf(refute_5_2,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_5_3,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_5_4,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_5_2,refute_5_3]) ).

cnf(refute_5_5,plain,
    ( h1(e13) != op2(e20,e20)
    | op2(e20,e20) = h1(e13) ),
    inference(subst,[],[refute_5_4:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_5_6,plain,
    op2(e20,e20) = h1(e13),
    inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_5_1,refute_5_5]) ).

cnf(refute_5_7,plain,
    ( op2(e20,e20) != e20
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).

cnf(refute_5_8,plain,
    ( op2(e20,e20) != e20
    | h1(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_5_6,refute_5_7]) ).

cnf(refute_5_9,plain,
    ( h1(e13) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_5_0,refute_5_8]) ).

cnf(refute_5_10,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(canonicalize,[],[normalize_5_7]) ).

cnf(refute_5_11,plain,
    e23 = op2(e22,e22),
    inference(canonicalize,[],[normalize_5_9]) ).

cnf(refute_5_12,plain,
    ( e23 != op2(e22,e22)
    | op2(e22,e22) = e23 ),
    inference(subst,[],[refute_5_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_5_13,plain,
    op2(e22,e22) = e23,
    inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_5_11,refute_5_12]) ).

cnf(refute_5_14,plain,
    ( e23 != e23
    | op2(e22,e22) != e23
    | op2(e22,e22) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(e23)]]) ).

cnf(refute_5_15,plain,
    ( e23 != e23
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_13,refute_5_14]) ).

cnf(refute_5_16,plain,
    ( e23 != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_15,refute_5_10]) ).

cnf(refute_5_17,plain,
    ( op2(e20,e20) != e22
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).

cnf(refute_5_18,plain,
    ( op2(e20,e20) != e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_5_6,refute_5_17]) ).

cnf(refute_5_19,plain,
    ( e23 != e23
    | h1(e13) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_5_16,refute_5_18]) ).

cnf(refute_5_20,plain,
    h2(e13) = op2(e21,e21),
    inference(canonicalize,[],[normalize_5_11]) ).

cnf(refute_5_21,plain,
    ( h2(e13) != op2(e21,e21)
    | op2(e21,e21) = h2(e13) ),
    inference(subst,[],[refute_5_4:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_5_22,plain,
    op2(e21,e21) = h2(e13),
    inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_5_20,refute_5_21]) ).

cnf(refute_5_23,plain,
    ( op2(e21,e21) != e22
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).

cnf(refute_5_24,plain,
    ( op2(e21,e21) != e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_5_22,refute_5_23]) ).

cnf(refute_5_25,plain,
    ( e23 != e23
    | h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_5_19,refute_5_24]) ).

cnf(refute_5_26,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_5_27,plain,
    ( h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_5_26,refute_5_25]) ).

cnf(refute_5_28,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(canonicalize,[],[normalize_5_14]) ).

cnf(refute_5_29,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).

cnf(refute_5_30,plain,
    ( op2(e21,e21) != e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_5_22,refute_5_29]) ).

cnf(refute_5_31,plain,
    ( h2(e13) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_5_28,refute_5_30]) ).

cnf(refute_5_32,plain,
    ( op2(e22,e22) != e20
    | op2(e22,e22) != e23
    | e23 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).

cnf(refute_5_33,plain,
    ( op2(e22,e22) != e20
    | e23 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_13,refute_5_32]) ).

cnf(refute_5_34,plain,
    ( e23 = e20
    | h2(e13) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_5_31,refute_5_33]) ).

cnf(refute_5_35,plain,
    h4(e13) = op2(e23,e23),
    inference(canonicalize,[],[normalize_5_16]) ).

cnf(refute_5_36,plain,
    ( h4(e13) != op2(e23,e23)
    | op2(e23,e23) = h4(e13) ),
    inference(subst,[],[refute_5_4:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_5_37,plain,
    op2(e23,e23) = h4(e13),
    inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_5_35,refute_5_36]) ).

cnf(refute_5_38,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e23) != h4(e13)
    | h4(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(h4(e13))]]) ).

cnf(refute_5_39,plain,
    ( op2(e23,e23) != e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_5_37,refute_5_38]) ).

cnf(refute_5_40,plain,
    ( e23 = e20
    | h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_5_34,refute_5_39]) ).

cnf(refute_5_41,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_5_18]) ).

cnf(refute_5_42,plain,
    ( e23 != e20
    | e20 = e23 ),
    inference(subst,[],[refute_5_4:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).

cnf(refute_5_43,plain,
    e23 != e20,
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_5_42,refute_5_41]) ).

cnf(refute_5_44,plain,
    ( h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(e23,e20) )],[refute_5_40,refute_5_43]) ).

cnf(refute_5_45,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(canonicalize,[],[normalize_5_19]) ).

cnf(refute_5_46,plain,
    op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).

cnf(refute_5_47,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).

cnf(refute_5_48,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_5_46,refute_5_47]) ).

cnf(refute_5_49,plain,
    op2(e23,op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_13,refute_5_48]) ).

cnf(refute_5_50,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_5_51,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).

cnf(refute_5_52,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_5_50,refute_5_51]) ).

cnf(refute_5_53,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_13,refute_5_52]) ).

cnf(refute_5_54,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_5_55,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_5_4,refute_5_54]) ).

cnf(refute_5_56,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(subst,[],[refute_5_55:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).

cnf(refute_5_57,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_5_53,refute_5_56]) ).

cnf(refute_5_58,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_5_49,refute_5_57]) ).

cnf(refute_5_59,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(subst,[],[refute_5_55:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).

cnf(refute_5_60,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_5_58,refute_5_59]) ).

cnf(refute_5_61,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_5_37,refute_5_60]) ).

cnf(refute_5_62,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
    | e21 = h4(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_5_63,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | e21 = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_5_61,refute_5_62]) ).

cnf(refute_5_64,plain,
    e21 = h4(e13),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_5_45,refute_5_63]) ).

cnf(refute_5_65,plain,
    ( e21 != h4(e13)
    | h4(e13) = e21 ),
    inference(subst,[],[refute_5_4:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).

cnf(refute_5_66,plain,
    h4(e13) = e21,
    inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_5_64,refute_5_65]) ).

cnf(refute_5_67,plain,
    ( h4(e13) != e20
    | h4(e13) != e21
    | e21 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),e20) ),[0],$fot(e21)]]) ).

cnf(refute_5_68,plain,
    ( h4(e13) != e20
    | e21 = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_5_66,refute_5_67]) ).

cnf(refute_5_69,plain,
    ( e21 = e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_5_44,refute_5_68]) ).

cnf(refute_5_70,plain,
    op2(e23,e22) != op2(e23,e23),
    inference(canonicalize,[],[normalize_5_21]) ).

cnf(refute_5_71,plain,
    ( op2(e23,e22) != h4(e13)
    | op2(e23,e23) != h4(e13)
    | op2(e23,e22) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).

cnf(refute_5_72,plain,
    ( op2(e23,e22) != h4(e13)
    | op2(e23,e22) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_5_37,refute_5_71]) ).

cnf(refute_5_73,plain,
    op2(e23,e22) != h4(e13),
    inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_5_72,refute_5_70]) ).

cnf(refute_5_74,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(canonicalize,[],[normalize_5_22]) ).

cnf(refute_5_75,plain,
    op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).

cnf(refute_5_76,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).

cnf(refute_5_77,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),e22) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_5_75,refute_5_76]) ).

cnf(refute_5_78,plain,
    op2(op2(e22,e22),e22) = op2(e23,e22),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_13,refute_5_77]) ).

cnf(refute_5_79,plain,
    ( e20 != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) != op2(e23,e22)
    | e20 = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).

cnf(refute_5_80,plain,
    ( e20 != op2(op2(e22,e22),e22)
    | e20 = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_5_78,refute_5_79]) ).

cnf(refute_5_81,plain,
    e20 = op2(e23,e22),
    inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_5_74,refute_5_80]) ).

cnf(refute_5_82,plain,
    ( e20 != op2(e23,e22)
    | op2(e23,e22) = e20 ),
    inference(subst,[],[refute_5_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).

cnf(refute_5_83,plain,
    op2(e23,e22) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_5_81,refute_5_82]) ).

cnf(refute_5_84,plain,
    ( e20 != h4(e13)
    | op2(e23,e22) != e20
    | op2(e23,e22) = h4(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e20) ),[1],$fot(h4(e13))]]) ).

cnf(refute_5_85,plain,
    ( e20 != h4(e13)
    | op2(e23,e22) = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_5_83,refute_5_84]) ).

cnf(refute_5_86,plain,
    ( e20 != e21
    | h4(e13) != e21
    | e20 = h4(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[1],$fot(e21)]]) ).

cnf(refute_5_87,plain,
    ( e20 != e21
    | e20 = h4(e13) ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_5_66,refute_5_86]) ).

cnf(refute_5_88,plain,
    ( e20 != e21
    | op2(e23,e22) = h4(e13) ),
    inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_5_87,refute_5_85]) ).

cnf(refute_5_89,plain,
    e20 != e21,
    inference(resolve,[$cnf( $equal(op2(e23,e22),h4(e13)) )],[refute_5_88,refute_5_73]) ).

cnf(refute_5_90,plain,
    ( e21 != e20
    | e20 = e21 ),
    inference(subst,[],[refute_5_4:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).

cnf(refute_5_91,plain,
    e21 != e20,
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_5_90,refute_5_89]) ).

cnf(refute_5_92,plain,
    h2(e13) = e20,
    inference(resolve,[$cnf( $equal(e21,e20) )],[refute_5_69,refute_5_91]) ).

cnf(refute_5_93,plain,
    ( h2(e13) != e20
    | h2(e13) != e22
    | e20 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[0],$fot(e20)]]) ).

cnf(refute_5_94,plain,
    ( h2(e13) != e22
    | e20 = e22 ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_5_92,refute_5_93]) ).

cnf(refute_5_95,plain,
    ( e20 = e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_5_27,refute_5_94]) ).

cnf(refute_5_96,plain,
    e20 != e22,
    inference(canonicalize,[],[normalize_5_23]) ).

cnf(refute_5_97,plain,
    h1(e13) = e22,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_5_95,refute_5_96]) ).

cnf(refute_5_98,plain,
    ( h1(e13) != e20
    | h1(e13) != e22
    | e22 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[0],$fot(e22)]]) ).

cnf(refute_5_99,plain,
    ( h1(e13) != e20
    | e22 = e20 ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_5_97,refute_5_98]) ).

cnf(refute_5_100,plain,
    ( e22 = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_5_9,refute_5_99]) ).

cnf(refute_5_101,plain,
    h2(e10) = op2(op2(e21,e21),e21),
    inference(canonicalize,[],[normalize_5_24]) ).

cnf(refute_5_102,plain,
    op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
    introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).

cnf(refute_5_103,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
    | op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h2(e13))]]) ).

cnf(refute_5_104,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_5_102,refute_5_103]) ).

cnf(refute_5_105,plain,
    op2(op2(e21,e21),e21) = op2(h2(e13),e21),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_5_22,refute_5_104]) ).

cnf(refute_5_106,plain,
    ( h2(e10) != op2(op2(e21,e21),e21)
    | op2(op2(e21,e21),e21) != op2(h2(e13),e21)
    | h2(e10) = op2(h2(e13),e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(h2(e13),e21)) ),[0],$fot(op2(op2(e21,e21),e21))]]) ).

cnf(refute_5_107,plain,
    ( h2(e10) != op2(op2(e21,e21),e21)
    | h2(e10) = op2(h2(e13),e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h2(e13),e21)) )],[refute_5_105,refute_5_106]) ).

cnf(refute_5_108,plain,
    h2(e10) = op2(h2(e13),e21),
    inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),e21)) )],[refute_5_101,refute_5_107]) ).

cnf(refute_5_109,plain,
    op2(h2(e13),e21) = op2(h2(e13),e21),
    introduced(tautology,[refl,[$fot(op2(h2(e13),e21))]]) ).

cnf(refute_5_110,plain,
    ( h2(e13) != e20
    | op2(h2(e13),e21) != op2(h2(e13),e21)
    | op2(h2(e13),e21) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e21),op2(h2(e13),e21)) ),[1,0],$fot(e20)]]) ).

cnf(refute_5_111,plain,
    ( h2(e13) != e20
    | op2(h2(e13),e21) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),e21),op2(h2(e13),e21)) )],[refute_5_109,refute_5_110]) ).

cnf(refute_5_112,plain,
    op2(h2(e13),e21) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_5_92,refute_5_111]) ).

cnf(refute_5_113,plain,
    ( h2(e10) != op2(h2(e13),e21)
    | op2(h2(e13),e21) != op2(e20,e21)
    | h2(e10) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(e20,e21)) ),[0],$fot(op2(h2(e13),e21))]]) ).

cnf(refute_5_114,plain,
    ( h2(e10) != op2(h2(e13),e21)
    | h2(e10) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),e21),op2(e20,e21)) )],[refute_5_112,refute_5_113]) ).

cnf(refute_5_115,plain,
    h2(e10) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_5_108,refute_5_114]) ).

cnf(refute_5_116,plain,
    ( h2(e10) != op2(e20,e21)
    | op2(e20,e21) = h2(e10) ),
    inference(subst,[],[refute_5_4:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_5_117,plain,
    op2(e20,e21) = h2(e10),
    inference(resolve,[$cnf( $equal(h2(e10),op2(e20,e21)) )],[refute_5_115,refute_5_116]) ).

cnf(refute_5_118,plain,
    ( op2(e20,e21) != e20
    | op2(e20,e21) != h2(e10)
    | h2(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[0],$fot(h2(e10))]]) ).

cnf(refute_5_119,plain,
    ( op2(e20,e21) != e20
    | h2(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e10)) )],[refute_5_117,refute_5_118]) ).

cnf(refute_5_120,plain,
    ( e22 = e20
    | h2(e10) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_5_100,refute_5_119]) ).

cnf(refute_5_121,plain,
    ( e22 != e20
    | e20 = e22 ),
    inference(subst,[],[refute_5_4:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).

cnf(refute_5_122,plain,
    e22 != e20,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_5_121,refute_5_96]) ).

cnf(refute_5_123,plain,
    ( h2(e10) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(e22,e20) )],[refute_5_120,refute_5_122]) ).

cnf(refute_5_124,plain,
    op2(e20,e21) != op2(e21,e21),
    inference(canonicalize,[],[normalize_5_25]) ).

cnf(refute_5_125,plain,
    ( op2(e20,e21) != h2(e13)
    | op2(e21,e21) != h2(e13)
    | op2(e20,e21) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e13))]]) ).

cnf(refute_5_126,plain,
    ( op2(e20,e21) != h2(e13)
    | op2(e20,e21) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_5_22,refute_5_125]) ).

cnf(refute_5_127,plain,
    op2(e20,e21) != h2(e13),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_5_126,refute_5_124]) ).

cnf(refute_5_128,plain,
    ( h2(e10) != h2(e13)
    | op2(e20,e21) != h2(e10)
    | op2(e20,e21) = h2(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),h2(e10)) ),[1],$fot(h2(e13))]]) ).

cnf(refute_5_129,plain,
    ( h2(e10) != h2(e13)
    | op2(e20,e21) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e10)) )],[refute_5_117,refute_5_128]) ).

cnf(refute_5_130,plain,
    ( h2(e10) != e20
    | h2(e13) != e20
    | h2(e10) = h2(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e13)) ),[1],$fot(e20)]]) ).

cnf(refute_5_131,plain,
    ( h2(e10) != e20
    | h2(e10) = h2(e13) ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_5_92,refute_5_130]) ).

cnf(refute_5_132,plain,
    ( h2(e10) != e20
    | op2(e20,e21) = h2(e13) ),
    inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_5_131,refute_5_129]) ).

cnf(refute_5_133,plain,
    h2(e10) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e13)) )],[refute_5_132,refute_5_127]) ).

cnf(refute_5_134,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(h2(e10),e20) )],[refute_5_123,refute_5_133]) ).

cnf(refute_5_135,plain,
    op2(e20,e22) != op2(e23,e22),
    inference(canonicalize,[],[normalize_5_26]) ).

cnf(refute_5_136,plain,
    ( op2(e20,e22) != e20
    | op2(e23,e22) != e20
    | op2(e20,e22) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).

cnf(refute_5_137,plain,
    ( op2(e20,e22) != e20
    | op2(e20,e22) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_5_83,refute_5_136]) ).

cnf(refute_5_138,plain,
    op2(e20,e22) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_5_137,refute_5_135]) ).

cnf(refute_5_139,plain,
    op2(e20,e23) = e20,
    inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_5_134,refute_5_138]) ).

cnf(refute_5_140,plain,
    h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
    inference(canonicalize,[],[normalize_5_33]) ).

cnf(refute_5_141,plain,
    h4(e12) = e23,
    inference(canonicalize,[],[normalize_5_34]) ).

cnf(refute_5_142,plain,
    ( op1(e12,e12) != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(canonicalize,[],[normalize_5_38]) ).

cnf(refute_5_143,plain,
    e13 = op1(e12,e12),
    inference(canonicalize,[],[normalize_5_40]) ).

cnf(refute_5_144,plain,
    ( e13 != op1(e12,e12)
    | op1(e12,e12) = e13 ),
    inference(subst,[],[refute_5_4:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).

cnf(refute_5_145,plain,
    op1(e12,e12) = e13,
    inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_5_143,refute_5_144]) ).

cnf(refute_5_146,plain,
    ( e13 != e13
    | op1(e12,e12) != e13
    | op1(e12,e12) = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(e13)]]) ).

cnf(refute_5_147,plain,
    ( e13 != e13
    | op1(e12,e12) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_145,refute_5_146]) ).

cnf(refute_5_148,plain,
    ( e13 != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_147,refute_5_142]) ).

cnf(refute_5_149,plain,
    e13 = e13,
    introduced(tautology,[refl,[$fot(e13)]]) ).

cnf(refute_5_150,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(resolve,[$cnf( $equal(e13,e13) )],[refute_5_149,refute_5_148]) ).

cnf(refute_5_151,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(canonicalize,[],[normalize_5_43]) ).

cnf(refute_5_152,plain,
    ( op1(e12,e12) != e10
    | op1(e12,e12) != e13
    | e13 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[0],$fot(e13)]]) ).

cnf(refute_5_153,plain,
    ( op1(e12,e12) != e10
    | e13 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_145,refute_5_152]) ).

cnf(refute_5_154,plain,
    ( e13 = e10
    | op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_5_151,refute_5_153]) ).

cnf(refute_5_155,plain,
    e10 != e13,
    inference(canonicalize,[],[normalize_5_45]) ).

cnf(refute_5_156,plain,
    ( e13 != e10
    | e10 = e13 ),
    inference(subst,[],[refute_5_4:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).

cnf(refute_5_157,plain,
    e13 != e10,
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_5_156,refute_5_155]) ).

cnf(refute_5_158,plain,
    ( op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(e13,e10) )],[refute_5_154,refute_5_157]) ).

cnf(refute_5_159,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(canonicalize,[],[normalize_5_46]) ).

cnf(refute_5_160,plain,
    op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).

cnf(refute_5_161,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).

cnf(refute_5_162,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_5_160,refute_5_161]) ).

cnf(refute_5_163,plain,
    op1(e13,op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_145,refute_5_162]) ).

cnf(refute_5_164,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_5_165,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).

cnf(refute_5_166,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_5_164,refute_5_165]) ).

cnf(refute_5_167,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_145,refute_5_166]) ).

cnf(refute_5_168,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(subst,[],[refute_5_55:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).

cnf(refute_5_169,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_5_167,refute_5_168]) ).

cnf(refute_5_170,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_5_163,refute_5_169]) ).

cnf(refute_5_171,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
    | e11 = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_5_172,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | e11 = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_5_170,refute_5_171]) ).

cnf(refute_5_173,plain,
    e11 = op1(e13,e13),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_5_159,refute_5_172]) ).

cnf(refute_5_174,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_5_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_5_175,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_5_173,refute_5_174]) ).

cnf(refute_5_176,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e13) != e11
    | e11 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).

cnf(refute_5_177,plain,
    ( op1(e13,e13) != e10
    | e11 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_5_175,refute_5_176]) ).

cnf(refute_5_178,plain,
    ( e11 = e10
    | op1(e11,e11) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_5_158,refute_5_177]) ).

cnf(refute_5_179,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_5_47]) ).

cnf(refute_5_180,plain,
    ( e11 != e10
    | e10 = e11 ),
    inference(subst,[],[refute_5_4:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).

cnf(refute_5_181,plain,
    e11 != e10,
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_5_180,refute_5_179]) ).

cnf(refute_5_182,plain,
    op1(e11,e11) = e10,
    inference(resolve,[$cnf( $equal(e11,e10) )],[refute_5_178,refute_5_181]) ).

cnf(refute_5_183,plain,
    ( op1(e11,e11) != e10
    | op1(e11,e11) != e12
    | e10 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[0],$fot(e10)]]) ).

cnf(refute_5_184,plain,
    ( op1(e11,e11) != e12
    | e10 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_5_182,refute_5_183]) ).

cnf(refute_5_185,plain,
    ( e10 = e12
    | op1(e10,e10) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_5_150,refute_5_184]) ).

cnf(refute_5_186,plain,
    e10 != e12,
    inference(canonicalize,[],[normalize_5_48]) ).

cnf(refute_5_187,plain,
    op1(e10,e10) = e12,
    inference(resolve,[$cnf( $equal(e10,e12) )],[refute_5_185,refute_5_186]) ).

cnf(refute_5_188,plain,
    h4(op1(e10,e10)) = h4(op1(e10,e10)),
    introduced(tautology,[refl,[$fot(h4(op1(e10,e10)))]]) ).

cnf(refute_5_189,plain,
    ( h4(op1(e10,e10)) != h4(op1(e10,e10))
    | op1(e10,e10) != e12
    | h4(op1(e10,e10)) = h4(e12) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) ),[1,0],$fot(e12)]]) ).

cnf(refute_5_190,plain,
    ( op1(e10,e10) != e12
    | h4(op1(e10,e10)) = h4(e12) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) )],[refute_5_188,refute_5_189]) ).

cnf(refute_5_191,plain,
    h4(op1(e10,e10)) = h4(e12),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_5_187,refute_5_190]) ).

cnf(refute_5_192,plain,
    ( h4(e12) != e23
    | h4(op1(e10,e10)) != h4(e12)
    | h4(op1(e10,e10)) = e23 ),
    inference(subst,[],[refute_5_55:[bind(X,$fot(h4(op1(e10,e10)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e23))]]) ).

cnf(refute_5_193,plain,
    ( h4(e12) != e23
    | h4(op1(e10,e10)) = e23 ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(e12)) )],[refute_5_191,refute_5_192]) ).

cnf(refute_5_194,plain,
    h4(op1(e10,e10)) = e23,
    inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_5_141,refute_5_193]) ).

cnf(refute_5_195,plain,
    ( h4(op1(e10,e10)) != e23
    | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | e23 = op2(h4(e10),h4(e10)) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[0],$fot(e23)]]) ).

cnf(refute_5_196,plain,
    ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | e23 = op2(h4(e10),h4(e10)) ),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),e23) )],[refute_5_194,refute_5_195]) ).

cnf(refute_5_197,plain,
    e23 = op2(h4(e10),h4(e10)),
    inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_5_140,refute_5_196]) ).

cnf(refute_5_198,plain,
    ( h4(e13) != e21
    | h4(e13) != op2(e23,e23)
    | e21 = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e23,e23)) ),[0],$fot(e21)]]) ).

cnf(refute_5_199,plain,
    ( h4(e13) != op2(e23,e23)
    | e21 = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_5_66,refute_5_198]) ).

cnf(refute_5_200,plain,
    e21 = op2(e23,e23),
    inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_5_35,refute_5_199]) ).

cnf(refute_5_201,plain,
    ( e21 != op2(e23,e23)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_5_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_5_202,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_5_200,refute_5_201]) ).

cnf(refute_5_203,plain,
    ( op2(e21,e20) = e23
    | op2(e21,e21) = e23
    | op2(e21,e22) = e23
    | op2(e21,e23) = e23 ),
    inference(canonicalize,[],[normalize_5_49]) ).

cnf(refute_5_204,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e13))]]) ).

cnf(refute_5_205,plain,
    ( op2(e21,e21) != e23
    | h2(e13) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_5_22,refute_5_204]) ).

cnf(refute_5_206,plain,
    ( h2(e13) = e23
    | op2(e21,e20) = e23
    | op2(e21,e22) = e23
    | op2(e21,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_5_203,refute_5_205]) ).

cnf(refute_5_207,plain,
    op2(e21,e22) != op2(e22,e22),
    inference(canonicalize,[],[normalize_5_50]) ).

cnf(refute_5_208,plain,
    ( op2(e21,e22) != e23
    | op2(e22,e22) != e23
    | op2(e21,e22) = op2(e22,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).

cnf(refute_5_209,plain,
    ( op2(e21,e22) != e23
    | op2(e21,e22) = op2(e22,e22) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_13,refute_5_208]) ).

cnf(refute_5_210,plain,
    op2(e21,e22) != e23,
    inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_5_209,refute_5_207]) ).

cnf(refute_5_211,plain,
    ( h2(e13) = e23
    | op2(e21,e20) = e23
    | op2(e21,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_5_206,refute_5_210]) ).

cnf(refute_5_212,plain,
    ( h2(e13) != e20
    | h2(e13) != e23
    | e20 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e13),e23) ),[0],$fot(e20)]]) ).

cnf(refute_5_213,plain,
    ( h2(e13) != e23
    | e20 = e23 ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_5_92,refute_5_212]) ).

cnf(refute_5_214,plain,
    ( e20 = e23
    | op2(e21,e20) = e23
    | op2(e21,e23) = e23 ),
    inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_5_211,refute_5_213]) ).

cnf(refute_5_215,plain,
    h4(e10) = op2(op2(e23,e23),e23),
    inference(canonicalize,[],[normalize_5_51]) ).

cnf(refute_5_216,plain,
    op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).

cnf(refute_5_217,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
    | op2(op2(e23,e23),e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).

cnf(refute_5_218,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_5_216,refute_5_217]) ).

cnf(refute_5_219,plain,
    op2(op2(e23,e23),e23) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_5_202,refute_5_218]) ).

cnf(refute_5_220,plain,
    ( h4(e10) != op2(op2(e23,e23),e23)
    | op2(op2(e23,e23),e23) != op2(e21,e23)
    | h4(e10) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).

cnf(refute_5_221,plain,
    ( h4(e10) != op2(op2(e23,e23),e23)
    | h4(e10) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_5_219,refute_5_220]) ).

cnf(refute_5_222,plain,
    h4(e10) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_5_215,refute_5_221]) ).

cnf(refute_5_223,plain,
    ( h4(e10) != op2(e21,e23)
    | op2(e21,e23) = h4(e10) ),
    inference(subst,[],[refute_5_4:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_5_224,plain,
    op2(e21,e23) = h4(e10),
    inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_5_222,refute_5_223]) ).

cnf(refute_5_225,plain,
    ( op2(e21,e23) != e23
    | op2(e21,e23) != h4(e10)
    | h4(e10) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(h4(e10))]]) ).

cnf(refute_5_226,plain,
    ( op2(e21,e23) != e23
    | h4(e10) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_5_224,refute_5_225]) ).

cnf(refute_5_227,plain,
    ( e20 = e23
    | h4(e10) = e23
    | op2(e21,e20) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_5_214,refute_5_226]) ).

cnf(refute_5_228,plain,
    ( h4(e10) = e23
    | op2(e21,e20) = e23 ),
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_5_227,refute_5_41]) ).

cnf(refute_5_229,plain,
    ( op2(e20,e20) = e21
    | op2(e21,e20) = e21
    | op2(e22,e20) = e21
    | op2(e23,e20) = e21 ),
    inference(canonicalize,[],[normalize_5_52]) ).

cnf(refute_5_230,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e13))]]) ).

cnf(refute_5_231,plain,
    ( op2(e20,e20) != e21
    | h1(e13) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_5_6,refute_5_230]) ).

cnf(refute_5_232,plain,
    ( h1(e13) = e21
    | op2(e21,e20) = e21
    | op2(e22,e20) = e21
    | op2(e23,e20) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_5_229,refute_5_231]) ).

cnf(refute_5_233,plain,
    ( h1(e13) != e21
    | h1(e13) != e22
    | e22 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e13),e21) ),[0],$fot(e22)]]) ).

cnf(refute_5_234,plain,
    ( h1(e13) != e21
    | e22 = e21 ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_5_97,refute_5_233]) ).

cnf(refute_5_235,plain,
    ( e22 = e21
    | op2(e21,e20) = e21
    | op2(e22,e20) = e21
    | op2(e23,e20) = e21 ),
    inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_5_232,refute_5_234]) ).

cnf(refute_5_236,plain,
    h1(e10) = op2(op2(e20,e20),e20),
    inference(canonicalize,[],[normalize_5_53]) ).

cnf(refute_5_237,plain,
    op2(op2(e20,e20),e20) = op2(op2(e20,e20),e20),
    introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e20))]]) ).

cnf(refute_5_238,plain,
    ( op2(e20,e20) != h1(e13)
    | op2(op2(e20,e20),e20) != op2(op2(e20,e20),e20)
    | op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) ),[1,0],$fot(h1(e13))]]) ).

cnf(refute_5_239,plain,
    ( op2(e20,e20) != h1(e13)
    | op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) )],[refute_5_237,refute_5_238]) ).

cnf(refute_5_240,plain,
    op2(op2(e20,e20),e20) = op2(h1(e13),e20),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_5_6,refute_5_239]) ).

cnf(refute_5_241,plain,
    ( h1(e10) != op2(op2(e20,e20),e20)
    | op2(op2(e20,e20),e20) != op2(h1(e13),e20)
    | h1(e10) = op2(h1(e13),e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e13),e20)) ),[0],$fot(op2(op2(e20,e20),e20))]]) ).

cnf(refute_5_242,plain,
    ( h1(e10) != op2(op2(e20,e20),e20)
    | h1(e10) = op2(h1(e13),e20) ),
    inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(h1(e13),e20)) )],[refute_5_240,refute_5_241]) ).

cnf(refute_5_243,plain,
    h1(e10) = op2(h1(e13),e20),
    inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,e20),e20)) )],[refute_5_236,refute_5_242]) ).

cnf(refute_5_244,plain,
    op2(h1(e13),e20) = op2(h1(e13),e20),
    introduced(tautology,[refl,[$fot(op2(h1(e13),e20))]]) ).

cnf(refute_5_245,plain,
    ( h1(e13) != e22
    | op2(h1(e13),e20) != op2(h1(e13),e20)
    | op2(h1(e13),e20) = op2(e22,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e20),op2(h1(e13),e20)) ),[1,0],$fot(e22)]]) ).

cnf(refute_5_246,plain,
    ( h1(e13) != e22
    | op2(h1(e13),e20) = op2(e22,e20) ),
    inference(resolve,[$cnf( $equal(op2(h1(e13),e20),op2(h1(e13),e20)) )],[refute_5_244,refute_5_245]) ).

cnf(refute_5_247,plain,
    op2(h1(e13),e20) = op2(e22,e20),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_5_97,refute_5_246]) ).

cnf(refute_5_248,plain,
    ( h1(e10) != op2(h1(e13),e20)
    | op2(h1(e13),e20) != op2(e22,e20)
    | h1(e10) = op2(e22,e20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(e22,e20)) ),[0],$fot(op2(h1(e13),e20))]]) ).

cnf(refute_5_249,plain,
    ( h1(e10) != op2(h1(e13),e20)
    | h1(e10) = op2(e22,e20) ),
    inference(resolve,[$cnf( $equal(op2(h1(e13),e20),op2(e22,e20)) )],[refute_5_247,refute_5_248]) ).

cnf(refute_5_250,plain,
    h1(e10) = op2(e22,e20),
    inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e13),e20)) )],[refute_5_243,refute_5_249]) ).

cnf(refute_5_251,plain,
    op2(e20,e23) != op2(e22,e23),
    inference(canonicalize,[],[normalize_5_54]) ).

cnf(refute_5_252,plain,
    ( op2(e22,e20) = e20
    | op2(e22,e21) = e20
    | op2(e22,e22) = e20
    | op2(e22,e23) = e20 ),
    inference(canonicalize,[],[normalize_5_55]) ).

cnf(refute_5_253,plain,
    ( e23 = e20
    | op2(e22,e20) = e20
    | op2(e22,e21) = e20
    | op2(e22,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_5_252,refute_5_33]) ).

cnf(refute_5_254,plain,
    ( op2(e22,e20) = e20
    | op2(e22,e21) = e20
    | op2(e22,e23) = e20 ),
    inference(resolve,[$cnf( $equal(e23,e20) )],[refute_5_253,refute_5_43]) ).

cnf(refute_5_255,plain,
    ( h1(e10) != op2(e22,e20)
    | op2(e22,e20) = h1(e10) ),
    inference(subst,[],[refute_5_4:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(e22,e20)))]]) ).

cnf(refute_5_256,plain,
    op2(e22,e20) = h1(e10),
    inference(resolve,[$cnf( $equal(h1(e10),op2(e22,e20)) )],[refute_5_250,refute_5_255]) ).

cnf(refute_5_257,plain,
    ( op2(e22,e20) != e20
    | op2(e22,e20) != h1(e10)
    | h1(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e20) ),[0],$fot(h1(e10))]]) ).

cnf(refute_5_258,plain,
    ( op2(e22,e20) != e20
    | h1(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),h1(e10)) )],[refute_5_256,refute_5_257]) ).

cnf(refute_5_259,plain,
    ( h1(e10) = e20
    | op2(e22,e21) = e20
    | op2(e22,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_5_254,refute_5_258]) ).

cnf(refute_5_260,plain,
    op2(e21,e21) != op2(e22,e21),
    inference(canonicalize,[],[normalize_5_56]) ).

cnf(refute_5_261,plain,
    ( h2(e13) != op2(e22,e21)
    | op2(e21,e21) != h2(e13)
    | op2(e21,e21) = op2(e22,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e22,e21))]]) ).

cnf(refute_5_262,plain,
    ( h2(e13) != op2(e22,e21)
    | op2(e21,e21) = op2(e22,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_5_22,refute_5_261]) ).

cnf(refute_5_263,plain,
    h2(e13) != op2(e22,e21),
    inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e22,e21)) )],[refute_5_262,refute_5_260]) ).

cnf(refute_5_264,plain,
    ( e20 != op2(e22,e21)
    | h2(e13) != e20
    | h2(e13) = op2(e22,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e13),e20) ),[1],$fot(op2(e22,e21))]]) ).

cnf(refute_5_265,plain,
    ( e20 != op2(e22,e21)
    | h2(e13) = op2(e22,e21) ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_5_92,refute_5_264]) ).

cnf(refute_5_266,plain,
    e20 != op2(e22,e21),
    inference(resolve,[$cnf( $equal(h2(e13),op2(e22,e21)) )],[refute_5_265,refute_5_263]) ).

cnf(refute_5_267,plain,
    ( op2(e22,e21) != e20
    | e20 = op2(e22,e21) ),
    inference(subst,[],[refute_5_4:[bind(X,$fot(op2(e22,e21))),bind(Y,$fot(e20))]]) ).

cnf(refute_5_268,plain,
    op2(e22,e21) != e20,
    inference(resolve,[$cnf( $equal(e20,op2(e22,e21)) )],[refute_5_267,refute_5_266]) ).

cnf(refute_5_269,plain,
    ( h1(e10) = e20
    | op2(e22,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_5_259,refute_5_268]) ).

cnf(refute_5_270,plain,
    ( op2(e20,e23) != e20
    | op2(e22,e23) != e20
    | op2(e20,e23) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e22,e23)) ),[1],$fot(e20)]]) ).

cnf(refute_5_271,plain,
    ( op2(e20,e23) != e20
    | h1(e10) = e20
    | op2(e20,e23) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e20) )],[refute_5_269,refute_5_270]) ).

cnf(refute_5_272,plain,
    ( op2(e20,e23) != e20
    | h1(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_5_271,refute_5_251]) ).

cnf(refute_5_273,plain,
    ( e20 != e20
    | op2(e20,e23) != e20
    | op2(e20,e23) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0,0],$fot(e20)]]) ).

cnf(refute_5_274,plain,
    ( e20 != e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_5_139,refute_5_273]) ).

cnf(refute_5_275,plain,
    ( e20 != e20
    | h1(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_5_274,refute_5_272]) ).

cnf(refute_5_276,plain,
    e20 = e20,
    introduced(tautology,[refl,[$fot(e20)]]) ).

cnf(refute_5_277,plain,
    h1(e10) = e20,
    inference(resolve,[$cnf( $equal(e20,e20) )],[refute_5_276,refute_5_275]) ).

cnf(refute_5_278,plain,
    ( h1(e10) != e20
    | h1(e10) != op2(e22,e20)
    | e20 = op2(e22,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e22,e20)) ),[0],$fot(e20)]]) ).

cnf(refute_5_279,plain,
    ( h1(e10) != op2(e22,e20)
    | e20 = op2(e22,e20) ),
    inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_5_277,refute_5_278]) ).

cnf(refute_5_280,plain,
    e20 = op2(e22,e20),
    inference(resolve,[$cnf( $equal(h1(e10),op2(e22,e20)) )],[refute_5_250,refute_5_279]) ).

cnf(refute_5_281,plain,
    ( e20 != op2(e22,e20)
    | op2(e22,e20) = e20 ),
    inference(subst,[],[refute_5_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e22,e20)))]]) ).

cnf(refute_5_282,plain,
    op2(e22,e20) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e22,e20)) )],[refute_5_280,refute_5_281]) ).

cnf(refute_5_283,plain,
    ( op2(e22,e20) != e20
    | op2(e22,e20) != e21
    | e20 = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e21) ),[0],$fot(e20)]]) ).

cnf(refute_5_284,plain,
    ( op2(e22,e20) != e21
    | e20 = e21 ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_5_282,refute_5_283]) ).

cnf(refute_5_285,plain,
    ( e20 = e21
    | e22 = e21
    | op2(e21,e20) = e21
    | op2(e23,e20) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_5_235,refute_5_284]) ).

cnf(refute_5_286,plain,
    ( e22 = e21
    | op2(e21,e20) = e21
    | op2(e23,e20) = e21 ),
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_5_285,refute_5_89]) ).

cnf(refute_5_287,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_5_57]) ).

cnf(refute_5_288,plain,
    ( e22 != e21
    | e21 = e22 ),
    inference(subst,[],[refute_5_4:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).

cnf(refute_5_289,plain,
    e22 != e21,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_5_288,refute_5_287]) ).

cnf(refute_5_290,plain,
    ( op2(e21,e20) = e21
    | op2(e23,e20) = e21 ),
    inference(resolve,[$cnf( $equal(e22,e21) )],[refute_5_286,refute_5_289]) ).

cnf(refute_5_291,plain,
    op2(e23,e20) != op2(e23,e23),
    inference(canonicalize,[],[normalize_5_58]) ).

cnf(refute_5_292,plain,
    ( op2(e23,e20) != h4(e13)
    | op2(e23,e23) != h4(e13)
    | op2(e23,e20) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).

cnf(refute_5_293,plain,
    ( op2(e23,e20) != h4(e13)
    | op2(e23,e20) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_5_37,refute_5_292]) ).

cnf(refute_5_294,plain,
    op2(e23,e20) != h4(e13),
    inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_5_293,refute_5_291]) ).

cnf(refute_5_295,plain,
    ( h4(e13) != e21
    | op2(e23,e20) != e21
    | op2(e23,e20) = h4(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),h4(e13)) ),[1],$fot(e21)]]) ).

cnf(refute_5_296,plain,
    ( op2(e23,e20) != e21
    | op2(e23,e20) = h4(e13) ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_5_66,refute_5_295]) ).

cnf(refute_5_297,plain,
    op2(e23,e20) != e21,
    inference(resolve,[$cnf( $equal(op2(e23,e20),h4(e13)) )],[refute_5_296,refute_5_294]) ).

cnf(refute_5_298,plain,
    op2(e21,e20) = e21,
    inference(resolve,[$cnf( $equal(op2(e23,e20),e21) )],[refute_5_290,refute_5_297]) ).

cnf(refute_5_299,plain,
    ( op2(e21,e20) != e21
    | op2(e21,e20) != e23
    | e21 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),e23) ),[0],$fot(e21)]]) ).

cnf(refute_5_300,plain,
    ( op2(e21,e20) != e23
    | e21 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_5_298,refute_5_299]) ).

cnf(refute_5_301,plain,
    ( e21 = e23
    | h4(e10) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e20),e23) )],[refute_5_228,refute_5_300]) ).

cnf(refute_5_302,plain,
    e21 != e23,
    inference(canonicalize,[],[normalize_5_59]) ).

cnf(refute_5_303,plain,
    h4(e10) = e23,
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_5_301,refute_5_302]) ).

cnf(refute_5_304,plain,
    op2(e23,h4(e10)) = op2(e23,h4(e10)),
    introduced(tautology,[refl,[$fot(op2(e23,h4(e10)))]]) ).

cnf(refute_5_305,plain,
    ( h4(e10) != e23
    | op2(e23,h4(e10)) != op2(e23,h4(e10))
    | op2(e23,h4(e10)) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) ),[1,1],$fot(e23)]]) ).

cnf(refute_5_306,plain,
    ( h4(e10) != e23
    | op2(e23,h4(e10)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) )],[refute_5_304,refute_5_305]) ).

cnf(refute_5_307,plain,
    op2(e23,h4(e10)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_5_303,refute_5_306]) ).

cnf(refute_5_308,plain,
    op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
    introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).

cnf(refute_5_309,plain,
    ( h4(e10) != e23
    | op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
    | op2(h4(e10),h4(e10)) = op2(e23,h4(e10)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(e23)]]) ).

cnf(refute_5_310,plain,
    ( h4(e10) != e23
    | op2(h4(e10),h4(e10)) = op2(e23,h4(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_5_308,refute_5_309]) ).

cnf(refute_5_311,plain,
    op2(h4(e10),h4(e10)) = op2(e23,h4(e10)),
    inference(resolve,[$cnf( $equal(h4(e10),e23) )],[refute_5_303,refute_5_310]) ).

cnf(refute_5_312,plain,
    ( op2(e23,h4(e10)) != op2(e23,e23)
    | op2(h4(e10),h4(e10)) != op2(e23,h4(e10))
    | op2(h4(e10),h4(e10)) = op2(e23,e23) ),
    inference(subst,[],[refute_5_55:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e23,h4(e10)))),bind(Z,$fot(op2(e23,e23)))]]) ).

cnf(refute_5_313,plain,
    ( op2(e23,h4(e10)) != op2(e23,e23)
    | op2(h4(e10),h4(e10)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e23,h4(e10))) )],[refute_5_311,refute_5_312]) ).

cnf(refute_5_314,plain,
    op2(h4(e10),h4(e10)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,e23)) )],[refute_5_307,refute_5_313]) ).

cnf(refute_5_315,plain,
    ( op2(e23,e23) != e21
    | op2(h4(e10),h4(e10)) != op2(e23,e23)
    | op2(h4(e10),h4(e10)) = e21 ),
    inference(subst,[],[refute_5_55:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(e21))]]) ).

cnf(refute_5_316,plain,
    ( op2(e23,e23) != e21
    | op2(h4(e10),h4(e10)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(e23,e23)) )],[refute_5_314,refute_5_315]) ).

cnf(refute_5_317,plain,
    op2(h4(e10),h4(e10)) = e21,
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_5_202,refute_5_316]) ).

cnf(refute_5_318,plain,
    ( e23 != op2(h4(e10),h4(e10))
    | op2(h4(e10),h4(e10)) != e21
    | e23 = e21 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e23,e21) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).

cnf(refute_5_319,plain,
    ( e23 != op2(h4(e10),h4(e10))
    | e23 = e21 ),
    inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),e21) )],[refute_5_317,refute_5_318]) ).

cnf(refute_5_320,plain,
    e23 = e21,
    inference(resolve,[$cnf( $equal(e23,op2(h4(e10),h4(e10))) )],[refute_5_197,refute_5_319]) ).

cnf(refute_5_321,plain,
    op2(e20,e23) = op2(e20,e23),
    introduced(tautology,[refl,[$fot(op2(e20,e23))]]) ).

cnf(refute_5_322,plain,
    ( e23 != e21
    | op2(e20,e23) != op2(e20,e23)
    | op2(e20,e23) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),op2(e20,e23)) ),[1,1],$fot(e21)]]) ).

cnf(refute_5_323,plain,
    ( e23 != e21
    | op2(e20,e23) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e20,e23)) )],[refute_5_321,refute_5_322]) ).

cnf(refute_5_324,plain,
    op2(e20,e23) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(e23,e21) )],[refute_5_320,refute_5_323]) ).

cnf(refute_5_325,plain,
    ( op2(e20,e21) != h2(e10)
    | op2(e20,e23) != op2(e20,e21)
    | op2(e20,e23) = h2(e10) ),
    inference(subst,[],[refute_5_55:[bind(X,$fot(op2(e20,e23))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(h2(e10)))]]) ).

cnf(refute_5_326,plain,
    ( op2(e20,e21) != h2(e10)
    | op2(e20,e23) = h2(e10) ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e20,e21)) )],[refute_5_324,refute_5_325]) ).

cnf(refute_5_327,plain,
    op2(e20,e23) = h2(e10),
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e10)) )],[refute_5_117,refute_5_326]) ).

cnf(refute_5_328,plain,
    ( op2(e20,e23) != e20
    | op2(e20,e23) != h2(e10)
    | h2(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(h2(e10))]]) ).

cnf(refute_5_329,plain,
    ( op2(e20,e23) != e20
    | h2(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e10)) )],[refute_5_327,refute_5_328]) ).

cnf(refute_5_330,plain,
    h2(e10) = e20,
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_5_139,refute_5_329]) ).

cnf(refute_5_331,plain,
    $false,
    inference(resolve,[$cnf( $equal(h2(e10),e20) )],[refute_5_330,refute_5_133]) ).

fof(negate_6_0,plain,
    ~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
            & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
            & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
            & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
            & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
            & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
            & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
            & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
            & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
            & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
            & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
            & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
            & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
            & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
            & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
            & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
            & ( h1(e10) = e20
              | h1(e11) = e20
              | h1(e12) = e20
              | h1(e13) = e20 )
            & ( h1(e10) = e21
              | h1(e11) = e21
              | h1(e12) = e21
              | h1(e13) = e21 )
            & ( h1(e10) = e22
              | h1(e11) = e22
              | h1(e12) = e22
              | h1(e13) = e22 )
            & ( h1(e10) = e23
              | h1(e11) = e23
              | h1(e12) = e23
              | h1(e13) = e23 ) )
        & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
            & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
            & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
            & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
            & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
            & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
            & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
            & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
            & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
            & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
            & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
            & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
            & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
            & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
            & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
            & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
            & ( h2(e10) = e20
              | h2(e11) = e20
              | h2(e12) = e20
              | h2(e13) = e20 )
            & ( h2(e10) = e21
              | h2(e11) = e21
              | h2(e12) = e21
              | h2(e13) = e21 )
            & ( h2(e10) = e22
              | h2(e11) = e22
              | h2(e12) = e22
              | h2(e13) = e22 )
            & ( h2(e10) = e23
              | h2(e11) = e23
              | h2(e12) = e23
              | h2(e13) = e23 ) )
        & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
            & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
            & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
            & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
            & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
            & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
            & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
            & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
            & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
            & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
            & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
            & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
            & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
            & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
            & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
            & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
            & ( h3(e10) = e20
              | h3(e11) = e20
              | h3(e12) = e20
              | h3(e13) = e20 )
            & ( h3(e10) = e21
              | h3(e11) = e21
              | h3(e12) = e21
              | h3(e13) = e21 )
            & ( h3(e10) = e22
              | h3(e11) = e22
              | h3(e12) = e22
              | h3(e13) = e22 )
            & ( h3(e10) = e23
              | h3(e11) = e23
              | h3(e12) = e23
              | h3(e13) = e23 ) )
        & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
        & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
        & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
        & h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) )
     => h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
    inference(negate,[],[subgoal_6]) ).

fof(normalize_6_0,plain,
    ( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e20
        & h1(e11) != e20
        & h1(e12) != e20
        & h1(e13) != e20 )
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e21
        & h2(e11) != e21
        & h2(e12) != e21
        & h2(e13) != e21 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e22
        & h3(e11) != e22
        & h3(e12) != e22
        & h3(e13) != e22 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(canonicalize,[],[negate_6_0]) ).

fof(normalize_6_1,plain,
    ( h1(e10) = op2(op2(e20,e20),e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = e20
    & h1(e13) = op2(e20,e20) ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_6_2,plain,
    h1(e12) = e20,
    inference(conjunct,[],[normalize_6_1]) ).

fof(normalize_6_3,plain,
    ( h2(e10) = op2(op2(e21,e21),e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = e21
    & h2(e13) = op2(e21,e21) ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_6_4,plain,
    h2(e12) = e21,
    inference(conjunct,[],[normalize_6_3]) ).

fof(normalize_6_5,plain,
    ( h3(e10) = op2(op2(e22,e22),e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = e22
    & h3(e13) = op2(e22,e22) ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_6_6,plain,
    h3(e12) = e22,
    inference(conjunct,[],[normalize_6_5]) ).

fof(normalize_6_7,plain,
    ( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
    & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
    & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
    & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
    & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
    & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
    & ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) ) ),
    inference(simplify,[],[normalize_6_0,normalize_6_2,normalize_6_4,normalize_6_6]) ).

fof(normalize_6_8,plain,
    h4(op1(e11,e12)) != op2(h4(e11),h4(e12)),
    inference(conjunct,[],[normalize_6_7]) ).

fof(normalize_6_9,plain,
    ( h4(e10) = op2(op2(e23,e23),e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = e23
    & h4(e13) = op2(e23,e23) ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_6_10,plain,
    h4(e12) = e23,
    inference(conjunct,[],[normalize_6_9]) ).

fof(normalize_6_11,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_6_9]) ).

fof(normalize_6_12,plain,
    h2(e13) = op2(e21,e21),
    inference(conjunct,[],[normalize_6_3]) ).

fof(normalize_6_13,plain,
    ( e20 = op2(op2(e22,e22),e22)
    & e21 = op2(op2(e22,e22),op2(e22,e22))
    & e23 = op2(e22,e22) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_6_14,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(conjunct,[],[normalize_6_13]) ).

fof(normalize_6_15,plain,
    h4(e13) = op2(e23,e23),
    inference(conjunct,[],[normalize_6_9]) ).

fof(normalize_6_16,plain,
    e23 = op2(e22,e22),
    inference(conjunct,[],[normalize_6_13]) ).

fof(normalize_6_17,plain,
    ( ( ( op2(e20,e20) != e21
        & op2(e21,e21) = e20 )
      | ( op2(e20,e20) != e22
        & op2(e22,e22) = e20 )
      | ( op2(e20,e20) != e23
        & op2(e23,e23) = e20 ) )
    & ( ( op2(e21,e21) != e20
        & op2(e20,e20) = e21 )
      | ( op2(e21,e21) != e22
        & op2(e22,e22) = e21 )
      | ( op2(e21,e21) != e23
        & op2(e23,e23) = e21 ) )
    & ( ( op2(e22,e22) != e20
        & op2(e20,e20) = e22 )
      | ( op2(e22,e22) != e21
        & op2(e21,e21) = e22 )
      | ( op2(e22,e22) != e23
        & op2(e23,e23) = e22 ) )
    & ( ( op2(e23,e23) != e20
        & op2(e20,e20) = e23 )
      | ( op2(e23,e23) != e21
        & op2(e21,e21) = e23 )
      | ( op2(e23,e23) != e22
        & op2(e22,e22) = e23 ) ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_6_18,plain,
    ( ( op2(e20,e20) != e21
      & op2(e21,e21) = e20 )
    | ( op2(e20,e20) != e22
      & op2(e22,e22) = e20 )
    | ( op2(e20,e20) != e23
      & op2(e23,e23) = e20 ) ),
    inference(conjunct,[],[normalize_6_17]) ).

fof(normalize_6_19,plain,
    ( ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e20,e20) != e23 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e23
      | op2(e22,e22) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e20) != e23
      | op2(e21,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e21) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e21) = e20
      | op2(e22,e22) = e20 )
    & ( op2(e21,e21) = e20
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 ) ),
    inference(clausify,[],[normalize_6_18]) ).

fof(normalize_6_20,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(conjunct,[],[normalize_6_19]) ).

fof(normalize_6_21,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_6_22,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_6_21]) ).

fof(normalize_6_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_6_24,plain,
    op2(e23,e22) != op2(e23,e23),
    inference(conjunct,[],[normalize_6_23]) ).

fof(normalize_6_25,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(conjunct,[],[normalize_6_13]) ).

fof(normalize_6_26,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_27,plain,
    ( op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23
    | op2(e23,e23) = e23 ),
    inference(conjunct,[],[normalize_6_26]) ).

fof(normalize_6_28,plain,
    op2(e22,e22) != op2(e22,e23),
    inference(conjunct,[],[normalize_6_23]) ).

fof(normalize_6_29,plain,
    h4(e10) = op2(op2(e23,e23),e23),
    inference(conjunct,[],[normalize_6_9]) ).

fof(normalize_6_30,plain,
    h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
    inference(conjunct,[],[normalize_6_7]) ).

fof(normalize_6_31,plain,
    h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
    inference(conjunct,[],[normalize_6_3]) ).

fof(normalize_6_32,plain,
    h1(e13) = op2(e20,e20),
    inference(conjunct,[],[normalize_6_1]) ).

fof(normalize_6_33,plain,
    ( ( op2(e22,e22) != e20
      & op2(e20,e20) = e22 )
    | ( op2(e22,e22) != e21
      & op2(e21,e21) = e22 )
    | ( op2(e22,e22) != e23
      & op2(e23,e23) = e22 ) ),
    inference(conjunct,[],[normalize_6_17]) ).

fof(normalize_6_34,plain,
    ( ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e23
      | op2(e21,e21) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e22) != e23
      | op2(e20,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e20,e20) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e20,e20) = e22
      | op2(e21,e21) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 ) ),
    inference(clausify,[],[normalize_6_33]) ).

fof(normalize_6_35,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(conjunct,[],[normalize_6_34]) ).

fof(normalize_6_36,plain,
    e20 != e22,
    inference(conjunct,[],[normalize_6_21]) ).

fof(normalize_6_37,plain,
    ( ( ( op1(e10,e10) != e11
        & op1(e11,e11) = e10 )
      | ( op1(e10,e10) != e12
        & op1(e12,e12) = e10 )
      | ( op1(e10,e10) != e13
        & op1(e13,e13) = e10 ) )
    & ( ( op1(e11,e11) != e10
        & op1(e10,e10) = e11 )
      | ( op1(e11,e11) != e12
        & op1(e12,e12) = e11 )
      | ( op1(e11,e11) != e13
        & op1(e13,e13) = e11 ) )
    & ( ( op1(e12,e12) != e10
        & op1(e10,e10) = e12 )
      | ( op1(e12,e12) != e11
        & op1(e11,e11) = e12 )
      | ( op1(e12,e12) != e13
        & op1(e13,e13) = e12 ) )
    & ( ( op1(e13,e13) != e10
        & op1(e10,e10) = e13 )
      | ( op1(e13,e13) != e11
        & op1(e11,e11) = e13 )
      | ( op1(e13,e13) != e12
        & op1(e12,e12) = e13 ) ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_6_38,plain,
    ( ( op1(e10,e10) != e11
      & op1(e11,e11) = e10 )
    | ( op1(e10,e10) != e12
      & op1(e12,e12) = e10 )
    | ( op1(e10,e10) != e13
      & op1(e13,e13) = e10 ) ),
    inference(conjunct,[],[normalize_6_37]) ).

fof(normalize_6_39,plain,
    ( ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e10,e10) != e13 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e13
      | op1(e12,e12) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e10) != e13
      | op1(e11,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e11) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e11) = e10
      | op1(e12,e12) = e10 )
    & ( op1(e11,e11) = e10
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 ) ),
    inference(clausify,[],[normalize_6_38]) ).

fof(normalize_6_40,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(conjunct,[],[normalize_6_39]) ).

fof(normalize_6_41,plain,
    ( e10 = op1(op1(e12,e12),e12)
    & e11 = op1(op1(e12,e12),op1(e12,e12))
    & e13 = op1(e12,e12) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_6_42,plain,
    e13 = op1(e12,e12),
    inference(conjunct,[],[normalize_6_41]) ).

fof(normalize_6_43,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_6_44,plain,
    e10 != e13,
    inference(conjunct,[],[normalize_6_43]) ).

fof(normalize_6_45,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(conjunct,[],[normalize_6_41]) ).

fof(normalize_6_46,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_6_43]) ).

fof(normalize_6_47,plain,
    e21 != e23,
    inference(conjunct,[],[normalize_6_21]) ).

fof(normalize_6_48,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_6_21]) ).

fof(normalize_6_49,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e10) = e11
      | op1(e10,e10) = e12
      | op1(e10,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e10,e11) = e11
      | op1(e10,e11) = e12
      | op1(e10,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e10,e12) = e11
      | op1(e10,e12) = e12
      | op1(e10,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e10,e13) = e11
      | op1(e10,e13) = e12
      | op1(e10,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e10) = e11
      | op1(e11,e10) = e12
      | op1(e11,e10) = e13 )
    & ( op1(e11,e11) = e10
      | op1(e11,e11) = e11
      | op1(e11,e11) = e12
      | op1(e11,e11) = e13 )
    & ( op1(e11,e12) = e10
      | op1(e11,e12) = e11
      | op1(e11,e12) = e12
      | op1(e11,e12) = e13 )
    & ( op1(e11,e13) = e10
      | op1(e11,e13) = e11
      | op1(e11,e13) = e12
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e10) = e11
      | op1(e12,e10) = e12
      | op1(e12,e10) = e13 )
    & ( op1(e12,e11) = e10
      | op1(e12,e11) = e11
      | op1(e12,e11) = e12
      | op1(e12,e11) = e13 )
    & ( op1(e12,e12) = e10
      | op1(e12,e12) = e11
      | op1(e12,e12) = e12
      | op1(e12,e12) = e13 )
    & ( op1(e12,e13) = e10
      | op1(e12,e13) = e11
      | op1(e12,e13) = e12
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e10) = e11
      | op1(e13,e10) = e12
      | op1(e13,e10) = e13 )
    & ( op1(e13,e11) = e10
      | op1(e13,e11) = e11
      | op1(e13,e11) = e12
      | op1(e13,e11) = e13 )
    & ( op1(e13,e12) = e10
      | op1(e13,e12) = e11
      | op1(e13,e12) = e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) = e10
      | op1(e13,e13) = e11
      | op1(e13,e13) = e12
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax1]) ).

fof(normalize_6_50,plain,
    ( op1(e11,e12) = e10
    | op1(e11,e12) = e11
    | op1(e11,e12) = e12
    | op1(e11,e12) = e13 ),
    inference(conjunct,[],[normalize_6_49]) ).

fof(normalize_6_51,plain,
    ( op1(e10,e10) != op1(e10,e11)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e10) != op1(e11,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e12) != op1(e13,e13) ),
    inference(canonicalize,[],[ax5]) ).

fof(normalize_6_52,plain,
    op1(e11,e12) != op1(e12,e12),
    inference(conjunct,[],[normalize_6_51]) ).

fof(normalize_6_53,plain,
    op1(e11,e12) != op1(e13,e12),
    inference(conjunct,[],[normalize_6_51]) ).

fof(normalize_6_54,plain,
    e10 = op1(op1(e12,e12),e12),
    inference(conjunct,[],[normalize_6_41]) ).

fof(normalize_6_55,plain,
    op1(e10,e12) != op1(e11,e12),
    inference(conjunct,[],[normalize_6_51]) ).

fof(normalize_6_56,plain,
    ( op1(e10,e12) = e10
    | op1(e10,e12) = e11
    | op1(e10,e12) = e12
    | op1(e10,e12) = e13 ),
    inference(conjunct,[],[normalize_6_49]) ).

fof(normalize_6_57,plain,
    op1(e10,e12) != op1(e12,e12),
    inference(conjunct,[],[normalize_6_51]) ).

fof(normalize_6_58,plain,
    op1(e10,e12) != op1(e13,e12),
    inference(conjunct,[],[normalize_6_51]) ).

fof(normalize_6_59,plain,
    op1(e10,e10) != op1(e10,e12),
    inference(conjunct,[],[normalize_6_51]) ).

fof(normalize_6_60,plain,
    ( ( op1(e12,e12) != e10
      & op1(e10,e10) = e12 )
    | ( op1(e12,e12) != e11
      & op1(e11,e11) = e12 )
    | ( op1(e12,e12) != e13
      & op1(e13,e13) = e12 ) ),
    inference(conjunct,[],[normalize_6_37]) ).

fof(normalize_6_61,plain,
    ( ( op1(e12,e12) != e10
      | op1(e12,e12) != e11
      | op1(e12,e12) != e13 )
    & ( op1(e12,e12) != e10
      | op1(e12,e12) != e11
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e10
      | op1(e12,e12) != e13
      | op1(e11,e11) = e12 )
    & ( op1(e12,e12) != e10
      | op1(e11,e11) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e12) != e13
      | op1(e10,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e10,e10) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e10,e10) = e12
      | op1(e11,e11) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e11) = e12
      | op1(e13,e13) = e12 ) ),
    inference(clausify,[],[normalize_6_60]) ).

fof(normalize_6_62,plain,
    ( op1(e12,e12) != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(conjunct,[],[normalize_6_61]) ).

fof(normalize_6_63,plain,
    e10 != e12,
    inference(conjunct,[],[normalize_6_43]) ).

cnf(refute_6_0,plain,
    h4(op1(e11,e12)) != op2(h4(e11),h4(e12)),
    inference(canonicalize,[],[normalize_6_8]) ).

cnf(refute_6_1,plain,
    h4(e12) = e23,
    inference(canonicalize,[],[normalize_6_10]) ).

cnf(refute_6_2,plain,
    op2(h2(e13),h4(e12)) = op2(h2(e13),h4(e12)),
    introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e12)))]]) ).

cnf(refute_6_3,plain,
    ( h4(e12) != e23
    | op2(h2(e13),h4(e12)) != op2(h2(e13),h4(e12))
    | op2(h2(e13),h4(e12)) = op2(h2(e13),e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),h4(e12))) ),[1,1],$fot(e23)]]) ).

cnf(refute_6_4,plain,
    ( h4(e12) != e23
    | op2(h2(e13),h4(e12)) = op2(h2(e13),e23) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),h4(e12))) )],[refute_6_2,refute_6_3]) ).

cnf(refute_6_5,plain,
    op2(h2(e13),h4(e12)) = op2(h2(e13),e23),
    inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_6_1,refute_6_4]) ).

cnf(refute_6_6,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_6_11]) ).

cnf(refute_6_7,plain,
    h2(e13) = op2(e21,e21),
    inference(canonicalize,[],[normalize_6_12]) ).

cnf(refute_6_8,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_6_9,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_6_10,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_6_8,refute_6_9]) ).

cnf(refute_6_11,plain,
    ( h2(e13) != op2(e21,e21)
    | op2(e21,e21) = h2(e13) ),
    inference(subst,[],[refute_6_10:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_6_12,plain,
    op2(e21,e21) = h2(e13),
    inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_6_7,refute_6_11]) ).

cnf(refute_6_13,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(canonicalize,[],[normalize_6_14]) ).

cnf(refute_6_14,plain,
    h4(e13) = op2(e23,e23),
    inference(canonicalize,[],[normalize_6_15]) ).

cnf(refute_6_15,plain,
    ( h4(e13) != op2(e23,e23)
    | op2(e23,e23) = h4(e13) ),
    inference(subst,[],[refute_6_10:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_6_16,plain,
    op2(e23,e23) = h4(e13),
    inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_6_14,refute_6_15]) ).

cnf(refute_6_17,plain,
    e23 = op2(e22,e22),
    inference(canonicalize,[],[normalize_6_16]) ).

cnf(refute_6_18,plain,
    ( e23 != op2(e22,e22)
    | op2(e22,e22) = e23 ),
    inference(subst,[],[refute_6_10:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_6_19,plain,
    op2(e22,e22) = e23,
    inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_6_17,refute_6_18]) ).

cnf(refute_6_20,plain,
    op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).

cnf(refute_6_21,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).

cnf(refute_6_22,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_6_20,refute_6_21]) ).

cnf(refute_6_23,plain,
    op2(e23,op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_19,refute_6_22]) ).

cnf(refute_6_24,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_6_25,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).

cnf(refute_6_26,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_6_24,refute_6_25]) ).

cnf(refute_6_27,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_19,refute_6_26]) ).

cnf(refute_6_28,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_6_29,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_6_10,refute_6_28]) ).

cnf(refute_6_30,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(subst,[],[refute_6_29:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).

cnf(refute_6_31,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_6_27,refute_6_30]) ).

cnf(refute_6_32,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_6_23,refute_6_31]) ).

cnf(refute_6_33,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(subst,[],[refute_6_29:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).

cnf(refute_6_34,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_6_32,refute_6_33]) ).

cnf(refute_6_35,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_6_16,refute_6_34]) ).

cnf(refute_6_36,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
    | e21 = h4(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_6_37,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | e21 = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_6_35,refute_6_36]) ).

cnf(refute_6_38,plain,
    e21 = h4(e13),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_6_13,refute_6_37]) ).

cnf(refute_6_39,plain,
    ( e21 != h4(e13)
    | h4(e13) = e21 ),
    inference(subst,[],[refute_6_10:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).

cnf(refute_6_40,plain,
    h4(e13) = e21,
    inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_6_38,refute_6_39]) ).

cnf(refute_6_41,plain,
    ( h4(e13) != e21
    | op2(e23,e23) != h4(e13)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_6_29:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).

cnf(refute_6_42,plain,
    ( h4(e13) != e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_6_16,refute_6_41]) ).

cnf(refute_6_43,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_6_40,refute_6_42]) ).

cnf(refute_6_44,plain,
    op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).

cnf(refute_6_45,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
    | op2(e23,e23) != e21
    | op2(e21,op2(e23,e23)) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).

cnf(refute_6_46,plain,
    ( op2(e23,e23) != e21
    | op2(e21,op2(e23,e23)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_6_44,refute_6_45]) ).

cnf(refute_6_47,plain,
    op2(e21,op2(e23,e23)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_43,refute_6_46]) ).

cnf(refute_6_48,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_49,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,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(e21)]]) ).

cnf(refute_6_50,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_6_48,refute_6_49]) ).

cnf(refute_6_51,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_43,refute_6_50]) ).

cnf(refute_6_52,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
    inference(subst,[],[refute_6_29:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).

cnf(refute_6_53,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_6_51,refute_6_52]) ).

cnf(refute_6_54,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_6_47,refute_6_53]) ).

cnf(refute_6_55,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
    inference(subst,[],[refute_6_29:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).

cnf(refute_6_56,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_6_54,refute_6_55]) ).

cnf(refute_6_57,plain,
    op2(op2(e23,e23),op2(e23,e23)) = h2(e13),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_6_12,refute_6_56]) ).

cnf(refute_6_58,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != h2(e13)
    | h4(e11) = h2(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h2(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_6_59,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | h4(e11) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e13)) )],[refute_6_57,refute_6_58]) ).

cnf(refute_6_60,plain,
    h4(e11) = h2(e13),
    inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_6_6,refute_6_59]) ).

cnf(refute_6_61,plain,
    op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
    introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).

cnf(refute_6_62,plain,
    ( h4(e11) != h2(e13)
    | op2(h4(e11),h4(e12)) != op2(h4(e11),h4(e12))
    | op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) ),[1,0],$fot(h2(e13))]]) ).

cnf(refute_6_63,plain,
    ( h4(e11) != h2(e13)
    | op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) )],[refute_6_61,refute_6_62]) ).

cnf(refute_6_64,plain,
    op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)),
    inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_6_60,refute_6_63]) ).

cnf(refute_6_65,plain,
    ( op2(h2(e13),h4(e12)) != op2(h2(e13),e23)
    | op2(h4(e11),h4(e12)) != op2(h2(e13),h4(e12))
    | op2(h4(e11),h4(e12)) = op2(h2(e13),e23) ),
    inference(subst,[],[refute_6_29:[bind(X,$fot(op2(h4(e11),h4(e12)))),bind(Y,$fot(op2(h2(e13),h4(e12)))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).

cnf(refute_6_66,plain,
    ( op2(h2(e13),h4(e12)) != op2(h2(e13),e23)
    | op2(h4(e11),h4(e12)) = op2(h2(e13),e23) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h2(e13),h4(e12))) )],[refute_6_64,refute_6_65]) ).

cnf(refute_6_67,plain,
    op2(h4(e11),h4(e12)) = op2(h2(e13),e23),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),e23)) )],[refute_6_5,refute_6_66]) ).

cnf(refute_6_68,plain,
    ( h4(op1(e11,e12)) != op2(h2(e13),e23)
    | op2(h4(e11),h4(e12)) != op2(h2(e13),e23)
    | 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(h2(e13),e23))]]) ).

cnf(refute_6_69,plain,
    ( h4(op1(e11,e12)) != op2(h2(e13),e23)
    | h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h2(e13),e23)) )],[refute_6_67,refute_6_68]) ).

cnf(refute_6_70,plain,
    h4(op1(e11,e12)) != op2(h2(e13),e23),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_6_69,refute_6_0]) ).

cnf(refute_6_71,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(canonicalize,[],[normalize_6_20]) ).

cnf(refute_6_72,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).

cnf(refute_6_73,plain,
    ( op2(e21,e21) != e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_6_12,refute_6_72]) ).

cnf(refute_6_74,plain,
    ( h2(e13) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_6_71,refute_6_73]) ).

cnf(refute_6_75,plain,
    ( op2(e22,e22) != e20
    | op2(e22,e22) != e23
    | e23 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).

cnf(refute_6_76,plain,
    ( op2(e22,e22) != e20
    | e23 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_19,refute_6_75]) ).

cnf(refute_6_77,plain,
    ( e23 = e20
    | h2(e13) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_6_74,refute_6_76]) ).

cnf(refute_6_78,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e23) != h4(e13)
    | h4(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(h4(e13))]]) ).

cnf(refute_6_79,plain,
    ( op2(e23,e23) != e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_6_16,refute_6_78]) ).

cnf(refute_6_80,plain,
    ( e23 = e20
    | h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_6_77,refute_6_79]) ).

cnf(refute_6_81,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_6_22]) ).

cnf(refute_6_82,plain,
    ( e23 != e20
    | e20 = e23 ),
    inference(subst,[],[refute_6_10:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).

cnf(refute_6_83,plain,
    e23 != e20,
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_6_82,refute_6_81]) ).

cnf(refute_6_84,plain,
    ( h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(e23,e20) )],[refute_6_80,refute_6_83]) ).

cnf(refute_6_85,plain,
    ( h4(e13) != e20
    | h4(e13) != e21
    | e21 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),e20) ),[0],$fot(e21)]]) ).

cnf(refute_6_86,plain,
    ( h4(e13) != e20
    | e21 = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_6_40,refute_6_85]) ).

cnf(refute_6_87,plain,
    ( e21 = e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_6_84,refute_6_86]) ).

cnf(refute_6_88,plain,
    op2(e23,e22) != op2(e23,e23),
    inference(canonicalize,[],[normalize_6_24]) ).

cnf(refute_6_89,plain,
    ( op2(e23,e22) != h4(e13)
    | op2(e23,e23) != h4(e13)
    | op2(e23,e22) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e22),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).

cnf(refute_6_90,plain,
    ( op2(e23,e22) != h4(e13)
    | op2(e23,e22) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_6_16,refute_6_89]) ).

cnf(refute_6_91,plain,
    op2(e23,e22) != h4(e13),
    inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_6_90,refute_6_88]) ).

cnf(refute_6_92,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(canonicalize,[],[normalize_6_25]) ).

cnf(refute_6_93,plain,
    op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).

cnf(refute_6_94,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).

cnf(refute_6_95,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),e22) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_6_93,refute_6_94]) ).

cnf(refute_6_96,plain,
    op2(op2(e22,e22),e22) = op2(e23,e22),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_19,refute_6_95]) ).

cnf(refute_6_97,plain,
    ( e20 != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) != op2(e23,e22)
    | e20 = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).

cnf(refute_6_98,plain,
    ( e20 != op2(op2(e22,e22),e22)
    | e20 = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_6_96,refute_6_97]) ).

cnf(refute_6_99,plain,
    e20 = op2(e23,e22),
    inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_6_92,refute_6_98]) ).

cnf(refute_6_100,plain,
    ( e20 != op2(e23,e22)
    | op2(e23,e22) = e20 ),
    inference(subst,[],[refute_6_10:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).

cnf(refute_6_101,plain,
    op2(e23,e22) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_6_99,refute_6_100]) ).

cnf(refute_6_102,plain,
    ( e20 != h4(e13)
    | op2(e23,e22) != e20
    | op2(e23,e22) = h4(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e20) ),[1],$fot(h4(e13))]]) ).

cnf(refute_6_103,plain,
    ( e20 != h4(e13)
    | op2(e23,e22) = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_6_101,refute_6_102]) ).

cnf(refute_6_104,plain,
    ( e20 != e21
    | h4(e13) != e21
    | e20 = h4(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[1],$fot(e21)]]) ).

cnf(refute_6_105,plain,
    ( e20 != e21
    | e20 = h4(e13) ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_6_40,refute_6_104]) ).

cnf(refute_6_106,plain,
    ( e20 != e21
    | op2(e23,e22) = h4(e13) ),
    inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_6_105,refute_6_103]) ).

cnf(refute_6_107,plain,
    e20 != e21,
    inference(resolve,[$cnf( $equal(op2(e23,e22),h4(e13)) )],[refute_6_106,refute_6_91]) ).

cnf(refute_6_108,plain,
    ( e21 != e20
    | e20 = e21 ),
    inference(subst,[],[refute_6_10:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).

cnf(refute_6_109,plain,
    e21 != e20,
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_6_108,refute_6_107]) ).

cnf(refute_6_110,plain,
    h2(e13) = e20,
    inference(resolve,[$cnf( $equal(e21,e20) )],[refute_6_87,refute_6_109]) ).

cnf(refute_6_111,plain,
    op2(h2(e13),e23) = op2(h2(e13),e23),
    introduced(tautology,[refl,[$fot(op2(h2(e13),e23))]]) ).

cnf(refute_6_112,plain,
    ( h2(e13) != e20
    | op2(h2(e13),e23) != op2(h2(e13),e23)
    | op2(h2(e13),e23) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e23),op2(h2(e13),e23)) ),[1,0],$fot(e20)]]) ).

cnf(refute_6_113,plain,
    ( h2(e13) != e20
    | op2(h2(e13),e23) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(h2(e13),e23)) )],[refute_6_111,refute_6_112]) ).

cnf(refute_6_114,plain,
    op2(h2(e13),e23) = op2(e20,e23),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_6_110,refute_6_113]) ).

cnf(refute_6_115,plain,
    ( h4(op1(e11,e12)) != op2(e20,e23)
    | op2(h2(e13),e23) != op2(e20,e23)
    | h4(op1(e11,e12)) = op2(h2(e13),e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) ),[1],$fot(op2(e20,e23))]]) ).

cnf(refute_6_116,plain,
    ( h4(op1(e11,e12)) != op2(e20,e23)
    | h4(op1(e11,e12)) = op2(h2(e13),e23) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e20,e23)) )],[refute_6_114,refute_6_115]) ).

cnf(refute_6_117,plain,
    h4(op1(e11,e12)) != op2(e20,e23),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h2(e13),e23)) )],[refute_6_116,refute_6_70]) ).

cnf(refute_6_118,plain,
    ( op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23
    | op2(e23,e23) = e23 ),
    inference(canonicalize,[],[normalize_6_27]) ).

cnf(refute_6_119,plain,
    ( op2(e23,e23) != e23
    | op2(e23,e23) != h4(e13)
    | h4(e13) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).

cnf(refute_6_120,plain,
    ( op2(e23,e23) != e23
    | h4(e13) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_6_16,refute_6_119]) ).

cnf(refute_6_121,plain,
    ( h4(e13) = e23
    | op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_6_118,refute_6_120]) ).

cnf(refute_6_122,plain,
    op2(e22,e22) != op2(e22,e23),
    inference(canonicalize,[],[normalize_6_28]) ).

cnf(refute_6_123,plain,
    ( e23 != op2(e22,e23)
    | op2(e22,e22) != e23
    | op2(e22,e22) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).

cnf(refute_6_124,plain,
    ( e23 != op2(e22,e23)
    | op2(e22,e22) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_19,refute_6_123]) ).

cnf(refute_6_125,plain,
    e23 != op2(e22,e23),
    inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_6_124,refute_6_122]) ).

cnf(refute_6_126,plain,
    ( op2(e22,e23) != e23
    | e23 = op2(e22,e23) ),
    inference(subst,[],[refute_6_10:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).

cnf(refute_6_127,plain,
    op2(e22,e23) != e23,
    inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_6_126,refute_6_125]) ).

cnf(refute_6_128,plain,
    ( h4(e13) = e23
    | op2(e20,e23) = e23
    | op2(e21,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_6_121,refute_6_127]) ).

cnf(refute_6_129,plain,
    ( h4(e13) != e21
    | h4(e13) != e23
    | e21 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e21)]]) ).

cnf(refute_6_130,plain,
    ( h4(e13) != e23
    | e21 = e23 ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_6_40,refute_6_129]) ).

cnf(refute_6_131,plain,
    ( e21 = e23
    | op2(e20,e23) = e23
    | op2(e21,e23) = e23 ),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_6_128,refute_6_130]) ).

cnf(refute_6_132,plain,
    h4(e10) = op2(op2(e23,e23),e23),
    inference(canonicalize,[],[normalize_6_29]) ).

cnf(refute_6_133,plain,
    op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).

cnf(refute_6_134,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
    | op2(op2(e23,e23),e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).

cnf(refute_6_135,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_6_133,refute_6_134]) ).

cnf(refute_6_136,plain,
    op2(op2(e23,e23),e23) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_6_43,refute_6_135]) ).

cnf(refute_6_137,plain,
    ( h4(e10) != op2(op2(e23,e23),e23)
    | op2(op2(e23,e23),e23) != op2(e21,e23)
    | h4(e10) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).

cnf(refute_6_138,plain,
    ( h4(e10) != op2(op2(e23,e23),e23)
    | h4(e10) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_6_136,refute_6_137]) ).

cnf(refute_6_139,plain,
    h4(e10) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_6_132,refute_6_138]) ).

cnf(refute_6_140,plain,
    h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
    inference(canonicalize,[],[normalize_6_30]) ).

cnf(refute_6_141,plain,
    h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
    inference(canonicalize,[],[normalize_6_31]) ).

cnf(refute_6_142,plain,
    op2(h2(e13),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
    introduced(tautology,[refl,[$fot(op2(h2(e13),op2(e21,e21)))]]) ).

cnf(refute_6_143,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(h2(e13),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
    | op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).

cnf(refute_6_144,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_6_142,refute_6_143]) ).

cnf(refute_6_145,plain,
    op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_6_12,refute_6_144]) ).

cnf(refute_6_146,plain,
    op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
    introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).

cnf(refute_6_147,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e13))]]) ).

cnf(refute_6_148,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_6_146,refute_6_147]) ).

cnf(refute_6_149,plain,
    op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_6_12,refute_6_148]) ).

cnf(refute_6_150,plain,
    ( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
    | op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    inference(subst,[],[refute_6_29:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e13),op2(e21,e21)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).

cnf(refute_6_151,plain,
    ( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_6_149,refute_6_150]) ).

cnf(refute_6_152,plain,
    op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_6_145,refute_6_151]) ).

cnf(refute_6_153,plain,
    ( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
    | op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),h2(e13))
    | h2(e11) = op2(h2(e13),h2(e13)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e13),h2(e13))) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).

cnf(refute_6_154,plain,
    ( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
    | h2(e11) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_6_152,refute_6_153]) ).

cnf(refute_6_155,plain,
    h2(e11) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(h2(e11),op2(op2(e21,e21),op2(e21,e21))) )],[refute_6_141,refute_6_154]) ).

cnf(refute_6_156,plain,
    ( h2(e11) != op2(h2(e13),h2(e13))
    | op2(h2(e13),h2(e13)) = h2(e11) ),
    inference(subst,[],[refute_6_10:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(h2(e13),h2(e13))))]]) ).

cnf(refute_6_157,plain,
    op2(h2(e13),h2(e13)) = h2(e11),
    inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_6_155,refute_6_156]) ).

cnf(refute_6_158,plain,
    op2(h2(e13),h4(e11)) = op2(h2(e13),h4(e11)),
    introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e11)))]]) ).

cnf(refute_6_159,plain,
    ( h4(e11) != h2(e13)
    | op2(h2(e13),h4(e11)) != op2(h2(e13),h4(e11))
    | op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h4(e11))) ),[1,1],$fot(h2(e13))]]) ).

cnf(refute_6_160,plain,
    ( h4(e11) != h2(e13)
    | op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h4(e11))) )],[refute_6_158,refute_6_159]) ).

cnf(refute_6_161,plain,
    op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_6_60,refute_6_160]) ).

cnf(refute_6_162,plain,
    op2(h4(e11),h4(e11)) = op2(h4(e11),h4(e11)),
    introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e11)))]]) ).

cnf(refute_6_163,plain,
    ( h4(e11) != h2(e13)
    | op2(h4(e11),h4(e11)) != op2(h4(e11),h4(e11))
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) ),[1,0],$fot(h2(e13))]]) ).

cnf(refute_6_164,plain,
    ( h4(e11) != h2(e13)
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) )],[refute_6_162,refute_6_163]) ).

cnf(refute_6_165,plain,
    op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)),
    inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_6_60,refute_6_164]) ).

cnf(refute_6_166,plain,
    ( op2(h2(e13),h4(e11)) != op2(h2(e13),h2(e13))
    | op2(h4(e11),h4(e11)) != op2(h2(e13),h4(e11))
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)) ),
    inference(subst,[],[refute_6_29:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(h2(e13),h4(e11)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).

cnf(refute_6_167,plain,
    ( op2(h2(e13),h4(e11)) != op2(h2(e13),h2(e13))
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h2(e13),h4(e11))) )],[refute_6_165,refute_6_166]) ).

cnf(refute_6_168,plain,
    op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h2(e13))) )],[refute_6_161,refute_6_167]) ).

cnf(refute_6_169,plain,
    ( op2(h2(e13),h2(e13)) != h2(e11)
    | op2(h4(e11),h4(e11)) != op2(h2(e13),h2(e13))
    | op2(h4(e11),h4(e11)) = h2(e11) ),
    inference(subst,[],[refute_6_29:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(h2(e13),h2(e13)))),bind(Z,$fot(h2(e11)))]]) ).

cnf(refute_6_170,plain,
    ( op2(h2(e13),h2(e13)) != h2(e11)
    | op2(h4(e11),h4(e11)) = h2(e11) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h2(e13),h2(e13))) )],[refute_6_168,refute_6_169]) ).

cnf(refute_6_171,plain,
    op2(h4(e11),h4(e11)) = h2(e11),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),h2(e11)) )],[refute_6_157,refute_6_170]) ).

cnf(refute_6_172,plain,
    ( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | op2(h4(e11),h4(e11)) != h2(e11)
    | h4(op1(e11,e11)) = h2(e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),h2(e11)) ),[0],$fot(op2(h4(e11),h4(e11)))]]) ).

cnf(refute_6_173,plain,
    ( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | h4(op1(e11,e11)) = h2(e11) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),h2(e11)) )],[refute_6_171,refute_6_172]) ).

cnf(refute_6_174,plain,
    h4(op1(e11,e11)) = h2(e11),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_6_140,refute_6_173]) ).

cnf(refute_6_175,plain,
    h1(e13) = op2(e20,e20),
    inference(canonicalize,[],[normalize_6_32]) ).

cnf(refute_6_176,plain,
    ( h1(e13) != op2(e20,e20)
    | op2(e20,e20) = h1(e13) ),
    inference(subst,[],[refute_6_10:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_6_177,plain,
    op2(e20,e20) = h1(e13),
    inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_6_175,refute_6_176]) ).

cnf(refute_6_178,plain,
    op2(e20,h2(e13)) = op2(e20,h2(e13)),
    introduced(tautology,[refl,[$fot(op2(e20,h2(e13)))]]) ).

cnf(refute_6_179,plain,
    ( h2(e13) != e20
    | op2(e20,h2(e13)) != op2(e20,h2(e13))
    | op2(e20,h2(e13)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,h2(e13))) ),[1,1],$fot(e20)]]) ).

cnf(refute_6_180,plain,
    ( h2(e13) != e20
    | op2(e20,h2(e13)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,h2(e13))) )],[refute_6_178,refute_6_179]) ).

cnf(refute_6_181,plain,
    op2(e20,h2(e13)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_6_110,refute_6_180]) ).

cnf(refute_6_182,plain,
    op2(h2(e13),h2(e13)) = op2(h2(e13),h2(e13)),
    introduced(tautology,[refl,[$fot(op2(h2(e13),h2(e13)))]]) ).

cnf(refute_6_183,plain,
    ( h2(e13) != e20
    | op2(h2(e13),h2(e13)) != op2(h2(e13),h2(e13))
    | op2(h2(e13),h2(e13)) = op2(e20,h2(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(h2(e13),h2(e13))) ),[1,0],$fot(e20)]]) ).

cnf(refute_6_184,plain,
    ( h2(e13) != e20
    | op2(h2(e13),h2(e13)) = op2(e20,h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(h2(e13),h2(e13))) )],[refute_6_182,refute_6_183]) ).

cnf(refute_6_185,plain,
    op2(h2(e13),h2(e13)) = op2(e20,h2(e13)),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_6_110,refute_6_184]) ).

cnf(refute_6_186,plain,
    ( op2(e20,h2(e13)) != op2(e20,e20)
    | op2(h2(e13),h2(e13)) != op2(e20,h2(e13))
    | op2(h2(e13),h2(e13)) = op2(e20,e20) ),
    inference(subst,[],[refute_6_29:[bind(X,$fot(op2(h2(e13),h2(e13)))),bind(Y,$fot(op2(e20,h2(e13)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_6_187,plain,
    ( op2(e20,h2(e13)) != op2(e20,e20)
    | op2(h2(e13),h2(e13)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(e20,h2(e13))) )],[refute_6_185,refute_6_186]) ).

cnf(refute_6_188,plain,
    op2(h2(e13),h2(e13)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,e20)) )],[refute_6_181,refute_6_187]) ).

cnf(refute_6_189,plain,
    ( op2(e20,e20) != h1(e13)
    | op2(h2(e13),h2(e13)) != op2(e20,e20)
    | op2(h2(e13),h2(e13)) = h1(e13) ),
    inference(subst,[],[refute_6_29:[bind(X,$fot(op2(h2(e13),h2(e13)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).

cnf(refute_6_190,plain,
    ( op2(e20,e20) != h1(e13)
    | op2(h2(e13),h2(e13)) = h1(e13) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(e20,e20)) )],[refute_6_188,refute_6_189]) ).

cnf(refute_6_191,plain,
    op2(h2(e13),h2(e13)) = h1(e13),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_177,refute_6_190]) ).

cnf(refute_6_192,plain,
    ( h2(e11) != op2(h2(e13),h2(e13))
    | op2(h2(e13),h2(e13)) != h1(e13)
    | h2(e11) = h1(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h1(e13)) ),[0],$fot(op2(h2(e13),h2(e13)))]]) ).

cnf(refute_6_193,plain,
    ( h2(e11) != op2(h2(e13),h2(e13))
    | h2(e11) = h1(e13) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),h1(e13)) )],[refute_6_191,refute_6_192]) ).

cnf(refute_6_194,plain,
    h2(e11) = h1(e13),
    inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_6_155,refute_6_193]) ).

cnf(refute_6_195,plain,
    ( h2(e11) != h1(e13)
    | h4(op1(e11,e11)) != h2(e11)
    | h4(op1(e11,e11)) = h1(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) ),[1],$fot(h1(e13))]]) ).

cnf(refute_6_196,plain,
    ( h4(op1(e11,e11)) != h2(e11)
    | h4(op1(e11,e11)) = h1(e13) ),
    inference(resolve,[$cnf( $equal(h2(e11),h1(e13)) )],[refute_6_194,refute_6_195]) ).

cnf(refute_6_197,plain,
    h4(op1(e11,e11)) = h1(e13),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_6_174,refute_6_196]) ).

cnf(refute_6_198,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(canonicalize,[],[normalize_6_35]) ).

cnf(refute_6_199,plain,
    ( e23 != e23
    | op2(e22,e22) != e23
    | op2(e22,e22) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(e23)]]) ).

cnf(refute_6_200,plain,
    ( e23 != e23
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_19,refute_6_199]) ).

cnf(refute_6_201,plain,
    ( e23 != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_200,refute_6_198]) ).

cnf(refute_6_202,plain,
    ( op2(e20,e20) != e22
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).

cnf(refute_6_203,plain,
    ( op2(e20,e20) != e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_177,refute_6_202]) ).

cnf(refute_6_204,plain,
    ( e23 != e23
    | h1(e13) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_6_201,refute_6_203]) ).

cnf(refute_6_205,plain,
    ( op2(e21,e21) != e22
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).

cnf(refute_6_206,plain,
    ( op2(e21,e21) != e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_6_12,refute_6_205]) ).

cnf(refute_6_207,plain,
    ( e23 != e23
    | h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_6_204,refute_6_206]) ).

cnf(refute_6_208,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_6_209,plain,
    ( h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_208,refute_6_207]) ).

cnf(refute_6_210,plain,
    ( h2(e13) != e20
    | h2(e13) != e22
    | e20 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[0],$fot(e20)]]) ).

cnf(refute_6_211,plain,
    ( h2(e13) != e22
    | e20 = e22 ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_6_110,refute_6_210]) ).

cnf(refute_6_212,plain,
    ( e20 = e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_6_209,refute_6_211]) ).

cnf(refute_6_213,plain,
    e20 != e22,
    inference(canonicalize,[],[normalize_6_36]) ).

cnf(refute_6_214,plain,
    h1(e13) = e22,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_6_212,refute_6_213]) ).

cnf(refute_6_215,plain,
    ( h1(e13) != e22
    | h4(op1(e11,e11)) != h1(e13)
    | h4(op1(e11,e11)) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h1(e13)) ),[1],$fot(e22)]]) ).

cnf(refute_6_216,plain,
    ( h4(op1(e11,e11)) != h1(e13)
    | h4(op1(e11,e11)) = e22 ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_6_214,refute_6_215]) ).

cnf(refute_6_217,plain,
    h4(op1(e11,e11)) = e22,
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h1(e13)) )],[refute_6_197,refute_6_216]) ).

cnf(refute_6_218,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(canonicalize,[],[normalize_6_40]) ).

cnf(refute_6_219,plain,
    e13 = op1(e12,e12),
    inference(canonicalize,[],[normalize_6_42]) ).

cnf(refute_6_220,plain,
    ( e13 != op1(e12,e12)
    | op1(e12,e12) = e13 ),
    inference(subst,[],[refute_6_10:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).

cnf(refute_6_221,plain,
    op1(e12,e12) = e13,
    inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_6_219,refute_6_220]) ).

cnf(refute_6_222,plain,
    ( op1(e12,e12) != e10
    | op1(e12,e12) != e13
    | e13 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[0],$fot(e13)]]) ).

cnf(refute_6_223,plain,
    ( op1(e12,e12) != e10
    | e13 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_221,refute_6_222]) ).

cnf(refute_6_224,plain,
    ( e13 = e10
    | op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_6_218,refute_6_223]) ).

cnf(refute_6_225,plain,
    e10 != e13,
    inference(canonicalize,[],[normalize_6_44]) ).

cnf(refute_6_226,plain,
    ( e13 != e10
    | e10 = e13 ),
    inference(subst,[],[refute_6_10:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).

cnf(refute_6_227,plain,
    e13 != e10,
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_6_226,refute_6_225]) ).

cnf(refute_6_228,plain,
    ( op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(e13,e10) )],[refute_6_224,refute_6_227]) ).

cnf(refute_6_229,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(canonicalize,[],[normalize_6_45]) ).

cnf(refute_6_230,plain,
    op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).

cnf(refute_6_231,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).

cnf(refute_6_232,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_6_230,refute_6_231]) ).

cnf(refute_6_233,plain,
    op1(e13,op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_221,refute_6_232]) ).

cnf(refute_6_234,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_6_235,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).

cnf(refute_6_236,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_6_234,refute_6_235]) ).

cnf(refute_6_237,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_221,refute_6_236]) ).

cnf(refute_6_238,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(subst,[],[refute_6_29:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).

cnf(refute_6_239,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_6_237,refute_6_238]) ).

cnf(refute_6_240,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_6_233,refute_6_239]) ).

cnf(refute_6_241,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
    | e11 = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_6_242,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | e11 = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_6_240,refute_6_241]) ).

cnf(refute_6_243,plain,
    e11 = op1(e13,e13),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_6_229,refute_6_242]) ).

cnf(refute_6_244,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_6_10:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_6_245,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_6_243,refute_6_244]) ).

cnf(refute_6_246,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e13) != e11
    | e11 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).

cnf(refute_6_247,plain,
    ( op1(e13,e13) != e10
    | e11 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_6_245,refute_6_246]) ).

cnf(refute_6_248,plain,
    ( e11 = e10
    | op1(e11,e11) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_6_228,refute_6_247]) ).

cnf(refute_6_249,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_6_46]) ).

cnf(refute_6_250,plain,
    ( e11 != e10
    | e10 = e11 ),
    inference(subst,[],[refute_6_10:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).

cnf(refute_6_251,plain,
    e11 != e10,
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_6_250,refute_6_249]) ).

cnf(refute_6_252,plain,
    op1(e11,e11) = e10,
    inference(resolve,[$cnf( $equal(e11,e10) )],[refute_6_248,refute_6_251]) ).

cnf(refute_6_253,plain,
    h4(op1(e11,e11)) = h4(op1(e11,e11)),
    introduced(tautology,[refl,[$fot(h4(op1(e11,e11)))]]) ).

cnf(refute_6_254,plain,
    ( h4(op1(e11,e11)) != h4(op1(e11,e11))
    | op1(e11,e11) != e10
    | h4(op1(e11,e11)) = h4(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) ),[1,0],$fot(e10)]]) ).

cnf(refute_6_255,plain,
    ( op1(e11,e11) != e10
    | h4(op1(e11,e11)) = h4(e10) ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) )],[refute_6_253,refute_6_254]) ).

cnf(refute_6_256,plain,
    h4(op1(e11,e11)) = h4(e10),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_6_252,refute_6_255]) ).

cnf(refute_6_257,plain,
    ( h4(op1(e11,e11)) != e22
    | h4(op1(e11,e11)) != h4(e10)
    | h4(e10) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),e22) ),[0],$fot(h4(e10))]]) ).

cnf(refute_6_258,plain,
    ( h4(op1(e11,e11)) != e22
    | h4(e10) = e22 ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(e10)) )],[refute_6_256,refute_6_257]) ).

cnf(refute_6_259,plain,
    h4(e10) = e22,
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),e22) )],[refute_6_217,refute_6_258]) ).

cnf(refute_6_260,plain,
    ( h4(e10) != e22
    | h4(e10) != op2(e21,e23)
    | e22 = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e21,e23)) ),[0],$fot(e22)]]) ).

cnf(refute_6_261,plain,
    ( h4(e10) != op2(e21,e23)
    | e22 = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_6_259,refute_6_260]) ).

cnf(refute_6_262,plain,
    e22 = op2(e21,e23),
    inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_6_139,refute_6_261]) ).

cnf(refute_6_263,plain,
    ( e22 != op2(e21,e23)
    | op2(e21,e23) = e22 ),
    inference(subst,[],[refute_6_10:[bind(X,$fot(e22)),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_6_264,plain,
    op2(e21,e23) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_6_262,refute_6_263]) ).

cnf(refute_6_265,plain,
    ( op2(e21,e23) != e22
    | op2(e21,e23) != e23
    | e22 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(e22)]]) ).

cnf(refute_6_266,plain,
    ( op2(e21,e23) != e23
    | e22 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_6_264,refute_6_265]) ).

cnf(refute_6_267,plain,
    ( e21 = e23
    | e22 = e23
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_6_131,refute_6_266]) ).

cnf(refute_6_268,plain,
    e21 != e23,
    inference(canonicalize,[],[normalize_6_47]) ).

cnf(refute_6_269,plain,
    ( e22 = e23
    | op2(e20,e23) = e23 ),
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_6_267,refute_6_268]) ).

cnf(refute_6_270,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_6_48]) ).

cnf(refute_6_271,plain,
    op2(e20,e23) = e23,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_6_269,refute_6_270]) ).

cnf(refute_6_272,plain,
    ( h4(op1(e11,e12)) != e23
    | op2(e20,e23) != e23
    | h4(op1(e11,e12)) = op2(e20,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e12)),op2(e20,e23)) ),[1],$fot(e23)]]) ).

cnf(refute_6_273,plain,
    ( h4(op1(e11,e12)) != e23
    | h4(op1(e11,e12)) = op2(e20,e23) ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_6_271,refute_6_272]) ).

cnf(refute_6_274,plain,
    h4(op1(e11,e12)) != e23,
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(e20,e23)) )],[refute_6_273,refute_6_117]) ).

cnf(refute_6_275,plain,
    ( op1(e11,e12) = e10
    | op1(e11,e12) = e11
    | op1(e11,e12) = e12
    | op1(e11,e12) = e13 ),
    inference(canonicalize,[],[normalize_6_50]) ).

cnf(refute_6_276,plain,
    op1(e11,e12) != op1(e12,e12),
    inference(canonicalize,[],[normalize_6_52]) ).

cnf(refute_6_277,plain,
    ( op1(e11,e12) != e13
    | op1(e12,e12) != e13
    | op1(e11,e12) = op1(e12,e12) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).

cnf(refute_6_278,plain,
    ( op1(e11,e12) != e13
    | op1(e11,e12) = op1(e12,e12) ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_221,refute_6_277]) ).

cnf(refute_6_279,plain,
    op1(e11,e12) != e13,
    inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_6_278,refute_6_276]) ).

cnf(refute_6_280,plain,
    ( op1(e11,e12) = e10
    | op1(e11,e12) = e11
    | op1(e11,e12) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_6_275,refute_6_279]) ).

cnf(refute_6_281,plain,
    op1(e11,e12) != op1(e13,e12),
    inference(canonicalize,[],[normalize_6_53]) ).

cnf(refute_6_282,plain,
    e10 = op1(op1(e12,e12),e12),
    inference(canonicalize,[],[normalize_6_54]) ).

cnf(refute_6_283,plain,
    op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
    introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).

cnf(refute_6_284,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
    | op1(op1(e12,e12),e12) = op1(e13,e12) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).

cnf(refute_6_285,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),e12) = op1(e13,e12) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_6_283,refute_6_284]) ).

cnf(refute_6_286,plain,
    op1(op1(e12,e12),e12) = op1(e13,e12),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_221,refute_6_285]) ).

cnf(refute_6_287,plain,
    ( e10 != op1(op1(e12,e12),e12)
    | op1(op1(e12,e12),e12) != op1(e13,e12)
    | e10 = op1(e13,e12) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(op1(e12,e12),e12))]]) ).

cnf(refute_6_288,plain,
    ( e10 != op1(op1(e12,e12),e12)
    | e10 = op1(e13,e12) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_6_286,refute_6_287]) ).

cnf(refute_6_289,plain,
    e10 = op1(e13,e12),
    inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),e12)) )],[refute_6_282,refute_6_288]) ).

cnf(refute_6_290,plain,
    ( e10 != op1(e13,e12)
    | op1(e13,e12) = e10 ),
    inference(subst,[],[refute_6_10:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).

cnf(refute_6_291,plain,
    op1(e13,e12) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_6_289,refute_6_290]) ).

cnf(refute_6_292,plain,
    ( op1(e11,e12) != e10
    | op1(e13,e12) != e10
    | op1(e11,e12) = op1(e13,e12) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).

cnf(refute_6_293,plain,
    ( op1(e11,e12) != e10
    | op1(e11,e12) = op1(e13,e12) ),
    inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_6_291,refute_6_292]) ).

cnf(refute_6_294,plain,
    op1(e11,e12) != e10,
    inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e12)) )],[refute_6_293,refute_6_281]) ).

cnf(refute_6_295,plain,
    ( op1(e11,e12) = e11
    | op1(e11,e12) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_6_280,refute_6_294]) ).

cnf(refute_6_296,plain,
    op1(e10,e12) != op1(e11,e12),
    inference(canonicalize,[],[normalize_6_55]) ).

cnf(refute_6_297,plain,
    ( op1(e10,e12) = e10
    | op1(e10,e12) = e11
    | op1(e10,e12) = e12
    | op1(e10,e12) = e13 ),
    inference(canonicalize,[],[normalize_6_56]) ).

cnf(refute_6_298,plain,
    op1(e10,e12) != op1(e12,e12),
    inference(canonicalize,[],[normalize_6_57]) ).

cnf(refute_6_299,plain,
    ( op1(e10,e12) != e13
    | op1(e12,e12) != e13
    | op1(e10,e12) = op1(e12,e12) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).

cnf(refute_6_300,plain,
    ( op1(e10,e12) != e13
    | op1(e10,e12) = op1(e12,e12) ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_221,refute_6_299]) ).

cnf(refute_6_301,plain,
    op1(e10,e12) != e13,
    inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_6_300,refute_6_298]) ).

cnf(refute_6_302,plain,
    ( op1(e10,e12) = e10
    | op1(e10,e12) = e11
    | op1(e10,e12) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_6_297,refute_6_301]) ).

cnf(refute_6_303,plain,
    op1(e10,e12) != op1(e13,e12),
    inference(canonicalize,[],[normalize_6_58]) ).

cnf(refute_6_304,plain,
    ( op1(e10,e12) != e10
    | op1(e13,e12) != e10
    | op1(e10,e12) = op1(e13,e12) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e10)]]) ).

cnf(refute_6_305,plain,
    ( op1(e10,e12) != e10
    | op1(e10,e12) = op1(e13,e12) ),
    inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_6_291,refute_6_304]) ).

cnf(refute_6_306,plain,
    op1(e10,e12) != e10,
    inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_6_305,refute_6_303]) ).

cnf(refute_6_307,plain,
    ( op1(e10,e12) = e11
    | op1(e10,e12) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_6_302,refute_6_306]) ).

cnf(refute_6_308,plain,
    op1(e10,e10) != op1(e10,e12),
    inference(canonicalize,[],[normalize_6_59]) ).

cnf(refute_6_309,plain,
    ( op1(e12,e12) != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(canonicalize,[],[normalize_6_62]) ).

cnf(refute_6_310,plain,
    ( e13 != e13
    | op1(e12,e12) != e13
    | op1(e12,e12) = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(e13)]]) ).

cnf(refute_6_311,plain,
    ( e13 != e13
    | op1(e12,e12) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_221,refute_6_310]) ).

cnf(refute_6_312,plain,
    ( e13 != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_6_311,refute_6_309]) ).

cnf(refute_6_313,plain,
    e13 = e13,
    introduced(tautology,[refl,[$fot(e13)]]) ).

cnf(refute_6_314,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(resolve,[$cnf( $equal(e13,e13) )],[refute_6_313,refute_6_312]) ).

cnf(refute_6_315,plain,
    ( op1(e11,e11) != e10
    | op1(e11,e11) != e12
    | e10 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[0],$fot(e10)]]) ).

cnf(refute_6_316,plain,
    ( op1(e11,e11) != e12
    | e10 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_6_252,refute_6_315]) ).

cnf(refute_6_317,plain,
    ( e10 = e12
    | op1(e10,e10) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_6_314,refute_6_316]) ).

cnf(refute_6_318,plain,
    e10 != e12,
    inference(canonicalize,[],[normalize_6_63]) ).

cnf(refute_6_319,plain,
    op1(e10,e10) = e12,
    inference(resolve,[$cnf( $equal(e10,e12) )],[refute_6_317,refute_6_318]) ).

cnf(refute_6_320,plain,
    ( e12 != op1(e10,e12)
    | op1(e10,e10) != e12
    | op1(e10,e10) = op1(e10,e12) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e12) ),[1],$fot(op1(e10,e12))]]) ).

cnf(refute_6_321,plain,
    ( e12 != op1(e10,e12)
    | op1(e10,e10) = op1(e10,e12) ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_6_319,refute_6_320]) ).

cnf(refute_6_322,plain,
    e12 != op1(e10,e12),
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e12)) )],[refute_6_321,refute_6_308]) ).

cnf(refute_6_323,plain,
    ( op1(e10,e12) != e12
    | e12 = op1(e10,e12) ),
    inference(subst,[],[refute_6_10:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(e12))]]) ).

cnf(refute_6_324,plain,
    op1(e10,e12) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e10,e12)) )],[refute_6_323,refute_6_322]) ).

cnf(refute_6_325,plain,
    op1(e10,e12) = e11,
    inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_6_307,refute_6_324]) ).

cnf(refute_6_326,plain,
    ( e11 != op1(e11,e12)
    | op1(e10,e12) != e11
    | op1(e10,e12) = op1(e11,e12) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e11) ),[1],$fot(op1(e11,e12))]]) ).

cnf(refute_6_327,plain,
    ( e11 != op1(e11,e12)
    | op1(e10,e12) = op1(e11,e12) ),
    inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_6_325,refute_6_326]) ).

cnf(refute_6_328,plain,
    e11 != op1(e11,e12),
    inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e12)) )],[refute_6_327,refute_6_296]) ).

cnf(refute_6_329,plain,
    ( op1(e11,e12) != e11
    | e11 = op1(e11,e12) ),
    inference(subst,[],[refute_6_10:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(e11))]]) ).

cnf(refute_6_330,plain,
    op1(e11,e12) != e11,
    inference(resolve,[$cnf( $equal(e11,op1(e11,e12)) )],[refute_6_329,refute_6_328]) ).

cnf(refute_6_331,plain,
    op1(e11,e12) = e12,
    inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_6_295,refute_6_330]) ).

cnf(refute_6_332,plain,
    h4(op1(e11,e12)) = h4(op1(e11,e12)),
    introduced(tautology,[refl,[$fot(h4(op1(e11,e12)))]]) ).

cnf(refute_6_333,plain,
    ( h4(op1(e11,e12)) != h4(op1(e11,e12))
    | op1(e11,e12) != e12
    | h4(op1(e11,e12)) = h4(e12) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),h4(op1(e11,e12))) ),[1,0],$fot(e12)]]) ).

cnf(refute_6_334,plain,
    ( op1(e11,e12) != e12
    | h4(op1(e11,e12)) = h4(e12) ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(op1(e11,e12))) )],[refute_6_332,refute_6_333]) ).

cnf(refute_6_335,plain,
    h4(op1(e11,e12)) = h4(e12),
    inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_6_331,refute_6_334]) ).

cnf(refute_6_336,plain,
    ( h4(e12) != e23
    | h4(op1(e11,e12)) != h4(e12)
    | h4(op1(e11,e12)) = e23 ),
    inference(subst,[],[refute_6_29:[bind(X,$fot(h4(op1(e11,e12)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e23))]]) ).

cnf(refute_6_337,plain,
    ( h4(e12) != e23
    | h4(op1(e11,e12)) = e23 ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(e12)) )],[refute_6_335,refute_6_336]) ).

cnf(refute_6_338,plain,
    h4(op1(e11,e12)) = e23,
    inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_6_1,refute_6_337]) ).

cnf(refute_6_339,plain,
    ( e23 != e23
    | h4(op1(e11,e12)) != e23
    | h4(op1(e11,e12)) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),e23) ),[1],$fot(e23)]]) ).

cnf(refute_6_340,plain,
    ( e23 != e23
    | h4(op1(e11,e12)) = e23 ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e23) )],[refute_6_338,refute_6_339]) ).

cnf(refute_6_341,plain,
    e23 != e23,
    inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),e23) )],[refute_6_340,refute_6_274]) ).

cnf(refute_6_342,plain,
    $false,
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_6_208,refute_6_341]) ).

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

fof(normalize_7_1,plain,
    ( op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23
    | op2(e23,e23) = e23 ),
    inference(conjunct,[],[normalize_7_0]) ).

fof(normalize_7_2,plain,
    ( h4(e10) = op2(op2(e23,e23),e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = e23
    & h4(e13) = op2(e23,e23) ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_7_3,plain,
    h4(e13) = op2(e23,e23),
    inference(conjunct,[],[normalize_7_2]) ).

fof(normalize_7_4,plain,
    ( op2(e20,e20) != op2(e20,e21)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e20) != op2(e21,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e22) != op2(e23,e23) ),
    inference(canonicalize,[],[ax6]) ).

fof(normalize_7_5,plain,
    op2(e22,e22) != op2(e22,e23),
    inference(conjunct,[],[normalize_7_4]) ).

fof(normalize_7_6,plain,
    ( e20 = op2(op2(e22,e22),e22)
    & e21 = op2(op2(e22,e22),op2(e22,e22))
    & e23 = op2(e22,e22) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_7_7,plain,
    e23 = op2(e22,e22),
    inference(conjunct,[],[normalize_7_6]) ).

fof(normalize_7_8,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(conjunct,[],[normalize_7_6]) ).

fof(normalize_7_9,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(conjunct,[],[normalize_7_0]) ).

fof(normalize_7_10,plain,
    ( h1(e10) = op2(op2(e20,e20),e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = e20
    & h1(e13) = op2(e20,e20) ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_7_11,plain,
    h1(e13) = op2(e20,e20),
    inference(conjunct,[],[normalize_7_10]) ).

fof(normalize_7_12,plain,
    ( ( ( op2(e20,e20) != e21
        & op2(e21,e21) = e20 )
      | ( op2(e20,e20) != e22
        & op2(e22,e22) = e20 )
      | ( op2(e20,e20) != e23
        & op2(e23,e23) = e20 ) )
    & ( ( op2(e21,e21) != e20
        & op2(e20,e20) = e21 )
      | ( op2(e21,e21) != e22
        & op2(e22,e22) = e21 )
      | ( op2(e21,e21) != e23
        & op2(e23,e23) = e21 ) )
    & ( ( op2(e22,e22) != e20
        & op2(e20,e20) = e22 )
      | ( op2(e22,e22) != e21
        & op2(e21,e21) = e22 )
      | ( op2(e22,e22) != e23
        & op2(e23,e23) = e22 ) )
    & ( ( op2(e23,e23) != e20
        & op2(e20,e20) = e23 )
      | ( op2(e23,e23) != e21
        & op2(e21,e21) = e23 )
      | ( op2(e23,e23) != e22
        & op2(e22,e22) = e23 ) ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_7_13,plain,
    ( ( op2(e22,e22) != e20
      & op2(e20,e20) = e22 )
    | ( op2(e22,e22) != e21
      & op2(e21,e21) = e22 )
    | ( op2(e22,e22) != e23
      & op2(e23,e23) = e22 ) ),
    inference(conjunct,[],[normalize_7_12]) ).

fof(normalize_7_14,plain,
    ( ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e23
      | op2(e21,e21) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e22) != e23
      | op2(e20,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e20,e20) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e20,e20) = e22
      | op2(e21,e21) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 ) ),
    inference(clausify,[],[normalize_7_13]) ).

fof(normalize_7_15,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(conjunct,[],[normalize_7_14]) ).

fof(normalize_7_16,plain,
    ( h2(e10) = op2(op2(e21,e21),e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = e21
    & h2(e13) = op2(e21,e21) ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_7_17,plain,
    h2(e13) = op2(e21,e21),
    inference(conjunct,[],[normalize_7_16]) ).

fof(normalize_7_18,plain,
    ( ( op2(e20,e20) != e21
      & op2(e21,e21) = e20 )
    | ( op2(e20,e20) != e22
      & op2(e22,e22) = e20 )
    | ( op2(e20,e20) != e23
      & op2(e23,e23) = e20 ) ),
    inference(conjunct,[],[normalize_7_12]) ).

fof(normalize_7_19,plain,
    ( ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e20,e20) != e23 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e23
      | op2(e22,e22) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e20) != e23
      | op2(e21,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e21) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e21) = e20
      | op2(e22,e22) = e20 )
    & ( op2(e21,e21) = e20
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 ) ),
    inference(clausify,[],[normalize_7_18]) ).

fof(normalize_7_20,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(conjunct,[],[normalize_7_19]) ).

fof(normalize_7_21,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_7_22,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_7_21]) ).

fof(normalize_7_23,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_7_21]) ).

fof(normalize_7_24,plain,
    e20 != e22,
    inference(conjunct,[],[normalize_7_21]) ).

fof(normalize_7_25,plain,
    h2(e10) = op2(op2(e21,e21),e21),
    inference(conjunct,[],[normalize_7_16]) ).

fof(normalize_7_26,plain,
    op2(e20,e21) != op2(e21,e21),
    inference(conjunct,[],[normalize_7_4]) ).

fof(normalize_7_27,plain,
    op2(e20,e22) != op2(e23,e22),
    inference(conjunct,[],[normalize_7_4]) ).

fof(normalize_7_28,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(conjunct,[],[normalize_7_6]) ).

fof(normalize_7_29,plain,
    h4(e10) = op2(op2(e23,e23),e23),
    inference(conjunct,[],[normalize_7_2]) ).

fof(normalize_7_30,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_31,plain,
    h1(e12) = e20,
    inference(conjunct,[],[normalize_7_10]) ).

fof(normalize_7_32,plain,
    h2(e12) = e21,
    inference(conjunct,[],[normalize_7_16]) ).

fof(normalize_7_33,plain,
    ( h3(e10) = op2(op2(e22,e22),e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = e22
    & h3(e13) = op2(e22,e22) ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_7_34,plain,
    h3(e12) = e22,
    inference(conjunct,[],[normalize_7_33]) ).

fof(normalize_7_35,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_30,normalize_7_31,normalize_7_32,normalize_7_34]) ).

fof(normalize_7_36,plain,
    h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
    inference(conjunct,[],[normalize_7_35]) ).

fof(normalize_7_37,plain,
    h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
    inference(conjunct,[],[normalize_7_16]) ).

fof(normalize_7_38,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_7_2]) ).

fof(normalize_7_39,plain,
    ( ( ( op1(e10,e10) != e11
        & op1(e11,e11) = e10 )
      | ( op1(e10,e10) != e12
        & op1(e12,e12) = e10 )
      | ( op1(e10,e10) != e13
        & op1(e13,e13) = e10 ) )
    & ( ( op1(e11,e11) != e10
        & op1(e10,e10) = e11 )
      | ( op1(e11,e11) != e12
        & op1(e12,e12) = e11 )
      | ( op1(e11,e11) != e13
        & op1(e13,e13) = e11 ) )
    & ( ( op1(e12,e12) != e10
        & op1(e10,e10) = e12 )
      | ( op1(e12,e12) != e11
        & op1(e11,e11) = e12 )
      | ( op1(e12,e12) != e13
        & op1(e13,e13) = e12 ) )
    & ( ( op1(e13,e13) != e10
        & op1(e10,e10) = e13 )
      | ( op1(e13,e13) != e11
        & op1(e11,e11) = e13 )
      | ( op1(e13,e13) != e12
        & op1(e12,e12) = e13 ) ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_7_40,plain,
    ( ( op1(e10,e10) != e11
      & op1(e11,e11) = e10 )
    | ( op1(e10,e10) != e12
      & op1(e12,e12) = e10 )
    | ( op1(e10,e10) != e13
      & op1(e13,e13) = e10 ) ),
    inference(conjunct,[],[normalize_7_39]) ).

fof(normalize_7_41,plain,
    ( ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e10,e10) != e13 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e13
      | op1(e12,e12) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e10) != e13
      | op1(e11,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e11) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e11) = e10
      | op1(e12,e12) = e10 )
    & ( op1(e11,e11) = e10
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 ) ),
    inference(clausify,[],[normalize_7_40]) ).

fof(normalize_7_42,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(conjunct,[],[normalize_7_41]) ).

fof(normalize_7_43,plain,
    ( e10 = op1(op1(e12,e12),e12)
    & e11 = op1(op1(e12,e12),op1(e12,e12))
    & e13 = op1(e12,e12) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_7_44,plain,
    e13 = op1(e12,e12),
    inference(conjunct,[],[normalize_7_43]) ).

fof(normalize_7_45,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_7_46,plain,
    e10 != e13,
    inference(conjunct,[],[normalize_7_45]) ).

fof(normalize_7_47,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(conjunct,[],[normalize_7_43]) ).

fof(normalize_7_48,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_7_45]) ).

fof(normalize_7_49,plain,
    e21 != e23,
    inference(conjunct,[],[normalize_7_21]) ).

fof(normalize_7_50,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_7_21]) ).

cnf(refute_7_0,plain,
    ( op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23
    | op2(e23,e23) = e23 ),
    inference(canonicalize,[],[normalize_7_1]) ).

cnf(refute_7_1,plain,
    h4(e13) = op2(e23,e23),
    inference(canonicalize,[],[normalize_7_3]) ).

cnf(refute_7_2,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_7_3,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_7_4,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_7_2,refute_7_3]) ).

cnf(refute_7_5,plain,
    ( h4(e13) != op2(e23,e23)
    | op2(e23,e23) = h4(e13) ),
    inference(subst,[],[refute_7_4:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_7_6,plain,
    op2(e23,e23) = h4(e13),
    inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_7_1,refute_7_5]) ).

cnf(refute_7_7,plain,
    ( op2(e23,e23) != e23
    | op2(e23,e23) != h4(e13)
    | h4(e13) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(h4(e13))]]) ).

cnf(refute_7_8,plain,
    ( op2(e23,e23) != e23
    | h4(e13) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_7_6,refute_7_7]) ).

cnf(refute_7_9,plain,
    ( h4(e13) = e23
    | op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_7_0,refute_7_8]) ).

cnf(refute_7_10,plain,
    op2(e22,e22) != op2(e22,e23),
    inference(canonicalize,[],[normalize_7_5]) ).

cnf(refute_7_11,plain,
    e23 = op2(e22,e22),
    inference(canonicalize,[],[normalize_7_7]) ).

cnf(refute_7_12,plain,
    ( e23 != op2(e22,e22)
    | op2(e22,e22) = e23 ),
    inference(subst,[],[refute_7_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_7_13,plain,
    op2(e22,e22) = e23,
    inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_7_11,refute_7_12]) ).

cnf(refute_7_14,plain,
    ( e23 != op2(e22,e23)
    | op2(e22,e22) != e23
    | op2(e22,e22) = op2(e22,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(op2(e22,e23))]]) ).

cnf(refute_7_15,plain,
    ( e23 != op2(e22,e23)
    | op2(e22,e22) = op2(e22,e23) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_13,refute_7_14]) ).

cnf(refute_7_16,plain,
    e23 != op2(e22,e23),
    inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_7_15,refute_7_10]) ).

cnf(refute_7_17,plain,
    ( op2(e22,e23) != e23
    | e23 = op2(e22,e23) ),
    inference(subst,[],[refute_7_4:[bind(X,$fot(op2(e22,e23))),bind(Y,$fot(e23))]]) ).

cnf(refute_7_18,plain,
    op2(e22,e23) != e23,
    inference(resolve,[$cnf( $equal(e23,op2(e22,e23)) )],[refute_7_17,refute_7_16]) ).

cnf(refute_7_19,plain,
    ( h4(e13) = e23
    | op2(e20,e23) = e23
    | op2(e21,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e23),e23) )],[refute_7_9,refute_7_18]) ).

cnf(refute_7_20,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(canonicalize,[],[normalize_7_8]) ).

cnf(refute_7_21,plain,
    op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).

cnf(refute_7_22,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).

cnf(refute_7_23,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_7_21,refute_7_22]) ).

cnf(refute_7_24,plain,
    op2(e23,op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_13,refute_7_23]) ).

cnf(refute_7_25,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_7_26,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).

cnf(refute_7_27,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_7_25,refute_7_26]) ).

cnf(refute_7_28,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_13,refute_7_27]) ).

cnf(refute_7_29,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_7_30,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_7_4,refute_7_29]) ).

cnf(refute_7_31,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(subst,[],[refute_7_30:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).

cnf(refute_7_32,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_7_28,refute_7_31]) ).

cnf(refute_7_33,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_7_24,refute_7_32]) ).

cnf(refute_7_34,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(subst,[],[refute_7_30:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).

cnf(refute_7_35,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_7_33,refute_7_34]) ).

cnf(refute_7_36,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_7_6,refute_7_35]) ).

cnf(refute_7_37,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
    | e21 = h4(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_7_38,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | e21 = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_7_36,refute_7_37]) ).

cnf(refute_7_39,plain,
    e21 = h4(e13),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_7_20,refute_7_38]) ).

cnf(refute_7_40,plain,
    ( e21 != h4(e13)
    | h4(e13) = e21 ),
    inference(subst,[],[refute_7_4:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).

cnf(refute_7_41,plain,
    h4(e13) = e21,
    inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_7_39,refute_7_40]) ).

cnf(refute_7_42,plain,
    ( h4(e13) != e21
    | h4(e13) != e23
    | e21 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),e23) ),[0],$fot(e21)]]) ).

cnf(refute_7_43,plain,
    ( h4(e13) != e23
    | e21 = e23 ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_7_41,refute_7_42]) ).

cnf(refute_7_44,plain,
    ( e21 = e23
    | op2(e20,e23) = e23
    | op2(e21,e23) = e23 ),
    inference(resolve,[$cnf( $equal(h4(e13),e23) )],[refute_7_19,refute_7_43]) ).

cnf(refute_7_45,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(canonicalize,[],[normalize_7_9]) ).

cnf(refute_7_46,plain,
    h1(e13) = op2(e20,e20),
    inference(canonicalize,[],[normalize_7_11]) ).

cnf(refute_7_47,plain,
    ( h1(e13) != op2(e20,e20)
    | op2(e20,e20) = h1(e13) ),
    inference(subst,[],[refute_7_4:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_7_48,plain,
    op2(e20,e20) = h1(e13),
    inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_7_46,refute_7_47]) ).

cnf(refute_7_49,plain,
    ( op2(e20,e20) != e20
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).

cnf(refute_7_50,plain,
    ( op2(e20,e20) != e20
    | h1(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_7_48,refute_7_49]) ).

cnf(refute_7_51,plain,
    ( h1(e13) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_7_45,refute_7_50]) ).

cnf(refute_7_52,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(canonicalize,[],[normalize_7_15]) ).

cnf(refute_7_53,plain,
    ( e23 != e23
    | op2(e22,e22) != e23
    | op2(e22,e22) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(e23)]]) ).

cnf(refute_7_54,plain,
    ( e23 != e23
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_13,refute_7_53]) ).

cnf(refute_7_55,plain,
    ( e23 != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_54,refute_7_52]) ).

cnf(refute_7_56,plain,
    ( op2(e20,e20) != e22
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).

cnf(refute_7_57,plain,
    ( op2(e20,e20) != e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_7_48,refute_7_56]) ).

cnf(refute_7_58,plain,
    ( e23 != e23
    | h1(e13) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_7_55,refute_7_57]) ).

cnf(refute_7_59,plain,
    h2(e13) = op2(e21,e21),
    inference(canonicalize,[],[normalize_7_17]) ).

cnf(refute_7_60,plain,
    ( h2(e13) != op2(e21,e21)
    | op2(e21,e21) = h2(e13) ),
    inference(subst,[],[refute_7_4:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_7_61,plain,
    op2(e21,e21) = h2(e13),
    inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_7_59,refute_7_60]) ).

cnf(refute_7_62,plain,
    ( op2(e21,e21) != e22
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).

cnf(refute_7_63,plain,
    ( op2(e21,e21) != e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_61,refute_7_62]) ).

cnf(refute_7_64,plain,
    ( e23 != e23
    | h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_7_58,refute_7_63]) ).

cnf(refute_7_65,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_7_66,plain,
    ( h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_7_65,refute_7_64]) ).

cnf(refute_7_67,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(canonicalize,[],[normalize_7_20]) ).

cnf(refute_7_68,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).

cnf(refute_7_69,plain,
    ( op2(e21,e21) != e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_61,refute_7_68]) ).

cnf(refute_7_70,plain,
    ( h2(e13) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_7_67,refute_7_69]) ).

cnf(refute_7_71,plain,
    ( op2(e22,e22) != e20
    | op2(e22,e22) != e23
    | e23 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).

cnf(refute_7_72,plain,
    ( op2(e22,e22) != e20
    | e23 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_13,refute_7_71]) ).

cnf(refute_7_73,plain,
    ( e23 = e20
    | h2(e13) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_7_70,refute_7_72]) ).

cnf(refute_7_74,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e23) != h4(e13)
    | h4(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(h4(e13))]]) ).

cnf(refute_7_75,plain,
    ( op2(e23,e23) != e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_7_6,refute_7_74]) ).

cnf(refute_7_76,plain,
    ( e23 = e20
    | h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_7_73,refute_7_75]) ).

cnf(refute_7_77,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_7_22]) ).

cnf(refute_7_78,plain,
    ( e23 != e20
    | e20 = e23 ),
    inference(subst,[],[refute_7_4:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).

cnf(refute_7_79,plain,
    e23 != e20,
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_7_78,refute_7_77]) ).

cnf(refute_7_80,plain,
    ( h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(e23,e20) )],[refute_7_76,refute_7_79]) ).

cnf(refute_7_81,plain,
    ( h4(e13) != e20
    | h4(e13) != e21
    | e21 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),e20) ),[0],$fot(e21)]]) ).

cnf(refute_7_82,plain,
    ( h4(e13) != e20
    | e21 = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_7_41,refute_7_81]) ).

cnf(refute_7_83,plain,
    ( e21 = e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_7_80,refute_7_82]) ).

cnf(refute_7_84,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_7_23]) ).

cnf(refute_7_85,plain,
    ( e21 != e20
    | e20 = e21 ),
    inference(subst,[],[refute_7_4:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).

cnf(refute_7_86,plain,
    e21 != e20,
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_7_85,refute_7_84]) ).

cnf(refute_7_87,plain,
    h2(e13) = e20,
    inference(resolve,[$cnf( $equal(e21,e20) )],[refute_7_83,refute_7_86]) ).

cnf(refute_7_88,plain,
    ( h2(e13) != e20
    | h2(e13) != e22
    | e20 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[0],$fot(e20)]]) ).

cnf(refute_7_89,plain,
    ( h2(e13) != e22
    | e20 = e22 ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_7_87,refute_7_88]) ).

cnf(refute_7_90,plain,
    ( e20 = e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_7_66,refute_7_89]) ).

cnf(refute_7_91,plain,
    e20 != e22,
    inference(canonicalize,[],[normalize_7_24]) ).

cnf(refute_7_92,plain,
    h1(e13) = e22,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_7_90,refute_7_91]) ).

cnf(refute_7_93,plain,
    ( h1(e13) != e20
    | h1(e13) != e22
    | e22 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[0],$fot(e22)]]) ).

cnf(refute_7_94,plain,
    ( h1(e13) != e20
    | e22 = e20 ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_7_92,refute_7_93]) ).

cnf(refute_7_95,plain,
    ( e22 = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_7_51,refute_7_94]) ).

cnf(refute_7_96,plain,
    h2(e10) = op2(op2(e21,e21),e21),
    inference(canonicalize,[],[normalize_7_25]) ).

cnf(refute_7_97,plain,
    op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
    introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).

cnf(refute_7_98,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
    | op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h2(e13))]]) ).

cnf(refute_7_99,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_7_97,refute_7_98]) ).

cnf(refute_7_100,plain,
    op2(op2(e21,e21),e21) = op2(h2(e13),e21),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_61,refute_7_99]) ).

cnf(refute_7_101,plain,
    ( h2(e10) != op2(op2(e21,e21),e21)
    | op2(op2(e21,e21),e21) != op2(h2(e13),e21)
    | h2(e10) = op2(h2(e13),e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(h2(e13),e21)) ),[0],$fot(op2(op2(e21,e21),e21))]]) ).

cnf(refute_7_102,plain,
    ( h2(e10) != op2(op2(e21,e21),e21)
    | h2(e10) = op2(h2(e13),e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h2(e13),e21)) )],[refute_7_100,refute_7_101]) ).

cnf(refute_7_103,plain,
    h2(e10) = op2(h2(e13),e21),
    inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,e21),e21)) )],[refute_7_96,refute_7_102]) ).

cnf(refute_7_104,plain,
    op2(h2(e13),e21) = op2(h2(e13),e21),
    introduced(tautology,[refl,[$fot(op2(h2(e13),e21))]]) ).

cnf(refute_7_105,plain,
    ( h2(e13) != e20
    | op2(h2(e13),e21) != op2(h2(e13),e21)
    | op2(h2(e13),e21) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e21),op2(h2(e13),e21)) ),[1,0],$fot(e20)]]) ).

cnf(refute_7_106,plain,
    ( h2(e13) != e20
    | op2(h2(e13),e21) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),e21),op2(h2(e13),e21)) )],[refute_7_104,refute_7_105]) ).

cnf(refute_7_107,plain,
    op2(h2(e13),e21) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_7_87,refute_7_106]) ).

cnf(refute_7_108,plain,
    ( h2(e10) != op2(h2(e13),e21)
    | op2(h2(e13),e21) != op2(e20,e21)
    | h2(e10) = op2(e20,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(e20,e21)) ),[0],$fot(op2(h2(e13),e21))]]) ).

cnf(refute_7_109,plain,
    ( h2(e10) != op2(h2(e13),e21)
    | h2(e10) = op2(e20,e21) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),e21),op2(e20,e21)) )],[refute_7_107,refute_7_108]) ).

cnf(refute_7_110,plain,
    h2(e10) = op2(e20,e21),
    inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e13),e21)) )],[refute_7_103,refute_7_109]) ).

cnf(refute_7_111,plain,
    ( h2(e10) != op2(e20,e21)
    | op2(e20,e21) = h2(e10) ),
    inference(subst,[],[refute_7_4:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e20,e21)))]]) ).

cnf(refute_7_112,plain,
    op2(e20,e21) = h2(e10),
    inference(resolve,[$cnf( $equal(h2(e10),op2(e20,e21)) )],[refute_7_110,refute_7_111]) ).

cnf(refute_7_113,plain,
    ( op2(e20,e21) != e20
    | op2(e20,e21) != h2(e10)
    | h2(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),e20) ),[0],$fot(h2(e10))]]) ).

cnf(refute_7_114,plain,
    ( op2(e20,e21) != e20
    | h2(e10) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e10)) )],[refute_7_112,refute_7_113]) ).

cnf(refute_7_115,plain,
    ( e22 = e20
    | h2(e10) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_7_95,refute_7_114]) ).

cnf(refute_7_116,plain,
    ( e22 != e20
    | e20 = e22 ),
    inference(subst,[],[refute_7_4:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).

cnf(refute_7_117,plain,
    e22 != e20,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_7_116,refute_7_91]) ).

cnf(refute_7_118,plain,
    ( h2(e10) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(e22,e20) )],[refute_7_115,refute_7_117]) ).

cnf(refute_7_119,plain,
    op2(e20,e21) != op2(e21,e21),
    inference(canonicalize,[],[normalize_7_26]) ).

cnf(refute_7_120,plain,
    ( op2(e20,e21) != h2(e13)
    | op2(e21,e21) != h2(e13)
    | op2(e20,e21) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e21,e21)) ),[1],$fot(h2(e13))]]) ).

cnf(refute_7_121,plain,
    ( op2(e20,e21) != h2(e13)
    | op2(e20,e21) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_61,refute_7_120]) ).

cnf(refute_7_122,plain,
    op2(e20,e21) != h2(e13),
    inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e21,e21)) )],[refute_7_121,refute_7_119]) ).

cnf(refute_7_123,plain,
    ( h2(e10) != h2(e13)
    | op2(e20,e21) != h2(e10)
    | op2(e20,e21) = h2(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),h2(e10)) ),[1],$fot(h2(e13))]]) ).

cnf(refute_7_124,plain,
    ( h2(e10) != h2(e13)
    | op2(e20,e21) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e10)) )],[refute_7_112,refute_7_123]) ).

cnf(refute_7_125,plain,
    ( h2(e10) != e20
    | h2(e13) != e20
    | h2(e10) = h2(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),h2(e13)) ),[1],$fot(e20)]]) ).

cnf(refute_7_126,plain,
    ( h2(e10) != e20
    | h2(e10) = h2(e13) ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_7_87,refute_7_125]) ).

cnf(refute_7_127,plain,
    ( h2(e10) != e20
    | op2(e20,e21) = h2(e13) ),
    inference(resolve,[$cnf( $equal(h2(e10),h2(e13)) )],[refute_7_126,refute_7_124]) ).

cnf(refute_7_128,plain,
    h2(e10) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e13)) )],[refute_7_127,refute_7_122]) ).

cnf(refute_7_129,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[$cnf( $equal(h2(e10),e20) )],[refute_7_118,refute_7_128]) ).

cnf(refute_7_130,plain,
    op2(e20,e22) != op2(e23,e22),
    inference(canonicalize,[],[normalize_7_27]) ).

cnf(refute_7_131,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(canonicalize,[],[normalize_7_28]) ).

cnf(refute_7_132,plain,
    op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).

cnf(refute_7_133,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).

cnf(refute_7_134,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),e22) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_7_132,refute_7_133]) ).

cnf(refute_7_135,plain,
    op2(op2(e22,e22),e22) = op2(e23,e22),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_13,refute_7_134]) ).

cnf(refute_7_136,plain,
    ( e20 != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) != op2(e23,e22)
    | e20 = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).

cnf(refute_7_137,plain,
    ( e20 != op2(op2(e22,e22),e22)
    | e20 = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_7_135,refute_7_136]) ).

cnf(refute_7_138,plain,
    e20 = op2(e23,e22),
    inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_7_131,refute_7_137]) ).

cnf(refute_7_139,plain,
    ( e20 != op2(e23,e22)
    | op2(e23,e22) = e20 ),
    inference(subst,[],[refute_7_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).

cnf(refute_7_140,plain,
    op2(e23,e22) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_7_138,refute_7_139]) ).

cnf(refute_7_141,plain,
    ( op2(e20,e22) != e20
    | op2(e23,e22) != e20
    | op2(e20,e22) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).

cnf(refute_7_142,plain,
    ( op2(e20,e22) != e20
    | op2(e20,e22) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_7_140,refute_7_141]) ).

cnf(refute_7_143,plain,
    op2(e20,e22) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_7_142,refute_7_130]) ).

cnf(refute_7_144,plain,
    op2(e20,e23) = e20,
    inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_7_129,refute_7_143]) ).

cnf(refute_7_145,plain,
    ( op2(e20,e23) != e20
    | op2(e20,e23) != e23
    | e20 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(e20)]]) ).

cnf(refute_7_146,plain,
    ( op2(e20,e23) != e23
    | e20 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_7_144,refute_7_145]) ).

cnf(refute_7_147,plain,
    ( e20 = e23
    | e21 = e23
    | op2(e21,e23) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_7_44,refute_7_146]) ).

cnf(refute_7_148,plain,
    h4(e10) = op2(op2(e23,e23),e23),
    inference(canonicalize,[],[normalize_7_29]) ).

cnf(refute_7_149,plain,
    ( h4(e13) != e21
    | op2(e23,e23) != h4(e13)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_7_30:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).

cnf(refute_7_150,plain,
    ( h4(e13) != e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_7_6,refute_7_149]) ).

cnf(refute_7_151,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_7_41,refute_7_150]) ).

cnf(refute_7_152,plain,
    op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).

cnf(refute_7_153,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
    | op2(op2(e23,e23),e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).

cnf(refute_7_154,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_7_152,refute_7_153]) ).

cnf(refute_7_155,plain,
    op2(op2(e23,e23),e23) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_151,refute_7_154]) ).

cnf(refute_7_156,plain,
    ( h4(e10) != op2(op2(e23,e23),e23)
    | op2(op2(e23,e23),e23) != op2(e21,e23)
    | h4(e10) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).

cnf(refute_7_157,plain,
    ( h4(e10) != op2(op2(e23,e23),e23)
    | h4(e10) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_7_155,refute_7_156]) ).

cnf(refute_7_158,plain,
    h4(e10) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_7_148,refute_7_157]) ).

cnf(refute_7_159,plain,
    h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
    inference(canonicalize,[],[normalize_7_36]) ).

cnf(refute_7_160,plain,
    h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
    inference(canonicalize,[],[normalize_7_37]) ).

cnf(refute_7_161,plain,
    op2(h2(e13),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
    introduced(tautology,[refl,[$fot(op2(h2(e13),op2(e21,e21)))]]) ).

cnf(refute_7_162,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(h2(e13),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
    | op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).

cnf(refute_7_163,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_7_161,refute_7_162]) ).

cnf(refute_7_164,plain,
    op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_61,refute_7_163]) ).

cnf(refute_7_165,plain,
    op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
    introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).

cnf(refute_7_166,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e13))]]) ).

cnf(refute_7_167,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_7_165,refute_7_166]) ).

cnf(refute_7_168,plain,
    op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_61,refute_7_167]) ).

cnf(refute_7_169,plain,
    ( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
    | op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    inference(subst,[],[refute_7_30:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e13),op2(e21,e21)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).

cnf(refute_7_170,plain,
    ( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_7_168,refute_7_169]) ).

cnf(refute_7_171,plain,
    op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_7_164,refute_7_170]) ).

cnf(refute_7_172,plain,
    ( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
    | op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),h2(e13))
    | h2(e11) = op2(h2(e13),h2(e13)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e13),h2(e13))) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).

cnf(refute_7_173,plain,
    ( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
    | h2(e11) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_7_171,refute_7_172]) ).

cnf(refute_7_174,plain,
    h2(e11) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(h2(e11),op2(op2(e21,e21),op2(e21,e21))) )],[refute_7_160,refute_7_173]) ).

cnf(refute_7_175,plain,
    ( h2(e11) != op2(h2(e13),h2(e13))
    | op2(h2(e13),h2(e13)) = h2(e11) ),
    inference(subst,[],[refute_7_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(h2(e13),h2(e13))))]]) ).

cnf(refute_7_176,plain,
    op2(h2(e13),h2(e13)) = h2(e11),
    inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_7_174,refute_7_175]) ).

cnf(refute_7_177,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_7_38]) ).

cnf(refute_7_178,plain,
    op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).

cnf(refute_7_179,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
    | op2(e23,e23) != e21
    | op2(e21,op2(e23,e23)) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).

cnf(refute_7_180,plain,
    ( op2(e23,e23) != e21
    | op2(e21,op2(e23,e23)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_7_178,refute_7_179]) ).

cnf(refute_7_181,plain,
    op2(e21,op2(e23,e23)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_151,refute_7_180]) ).

cnf(refute_7_182,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_183,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,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(e21)]]) ).

cnf(refute_7_184,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_7_182,refute_7_183]) ).

cnf(refute_7_185,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_7_151,refute_7_184]) ).

cnf(refute_7_186,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
    inference(subst,[],[refute_7_30:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).

cnf(refute_7_187,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_7_185,refute_7_186]) ).

cnf(refute_7_188,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_7_181,refute_7_187]) ).

cnf(refute_7_189,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
    inference(subst,[],[refute_7_30:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).

cnf(refute_7_190,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_7_188,refute_7_189]) ).

cnf(refute_7_191,plain,
    op2(op2(e23,e23),op2(e23,e23)) = h2(e13),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_61,refute_7_190]) ).

cnf(refute_7_192,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != h2(e13)
    | h4(e11) = h2(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h2(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_7_193,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | h4(e11) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e13)) )],[refute_7_191,refute_7_192]) ).

cnf(refute_7_194,plain,
    h4(e11) = h2(e13),
    inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_7_177,refute_7_193]) ).

cnf(refute_7_195,plain,
    op2(h2(e13),h4(e11)) = op2(h2(e13),h4(e11)),
    introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e11)))]]) ).

cnf(refute_7_196,plain,
    ( h4(e11) != h2(e13)
    | op2(h2(e13),h4(e11)) != op2(h2(e13),h4(e11))
    | op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h4(e11))) ),[1,1],$fot(h2(e13))]]) ).

cnf(refute_7_197,plain,
    ( h4(e11) != h2(e13)
    | op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h4(e11))) )],[refute_7_195,refute_7_196]) ).

cnf(refute_7_198,plain,
    op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_7_194,refute_7_197]) ).

cnf(refute_7_199,plain,
    op2(h4(e11),h4(e11)) = op2(h4(e11),h4(e11)),
    introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e11)))]]) ).

cnf(refute_7_200,plain,
    ( h4(e11) != h2(e13)
    | op2(h4(e11),h4(e11)) != op2(h4(e11),h4(e11))
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) ),[1,0],$fot(h2(e13))]]) ).

cnf(refute_7_201,plain,
    ( h4(e11) != h2(e13)
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) )],[refute_7_199,refute_7_200]) ).

cnf(refute_7_202,plain,
    op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)),
    inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_7_194,refute_7_201]) ).

cnf(refute_7_203,plain,
    ( op2(h2(e13),h4(e11)) != op2(h2(e13),h2(e13))
    | op2(h4(e11),h4(e11)) != op2(h2(e13),h4(e11))
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)) ),
    inference(subst,[],[refute_7_30:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(h2(e13),h4(e11)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).

cnf(refute_7_204,plain,
    ( op2(h2(e13),h4(e11)) != op2(h2(e13),h2(e13))
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h2(e13),h4(e11))) )],[refute_7_202,refute_7_203]) ).

cnf(refute_7_205,plain,
    op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h2(e13))) )],[refute_7_198,refute_7_204]) ).

cnf(refute_7_206,plain,
    ( op2(h2(e13),h2(e13)) != h2(e11)
    | op2(h4(e11),h4(e11)) != op2(h2(e13),h2(e13))
    | op2(h4(e11),h4(e11)) = h2(e11) ),
    inference(subst,[],[refute_7_30:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(h2(e13),h2(e13)))),bind(Z,$fot(h2(e11)))]]) ).

cnf(refute_7_207,plain,
    ( op2(h2(e13),h2(e13)) != h2(e11)
    | op2(h4(e11),h4(e11)) = h2(e11) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h2(e13),h2(e13))) )],[refute_7_205,refute_7_206]) ).

cnf(refute_7_208,plain,
    op2(h4(e11),h4(e11)) = h2(e11),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),h2(e11)) )],[refute_7_176,refute_7_207]) ).

cnf(refute_7_209,plain,
    ( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | op2(h4(e11),h4(e11)) != h2(e11)
    | h4(op1(e11,e11)) = h2(e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),h2(e11)) ),[0],$fot(op2(h4(e11),h4(e11)))]]) ).

cnf(refute_7_210,plain,
    ( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | h4(op1(e11,e11)) = h2(e11) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),h2(e11)) )],[refute_7_208,refute_7_209]) ).

cnf(refute_7_211,plain,
    h4(op1(e11,e11)) = h2(e11),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_7_159,refute_7_210]) ).

cnf(refute_7_212,plain,
    op2(e20,h2(e13)) = op2(e20,h2(e13)),
    introduced(tautology,[refl,[$fot(op2(e20,h2(e13)))]]) ).

cnf(refute_7_213,plain,
    ( h2(e13) != e20
    | op2(e20,h2(e13)) != op2(e20,h2(e13))
    | op2(e20,h2(e13)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,h2(e13))) ),[1,1],$fot(e20)]]) ).

cnf(refute_7_214,plain,
    ( h2(e13) != e20
    | op2(e20,h2(e13)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,h2(e13))) )],[refute_7_212,refute_7_213]) ).

cnf(refute_7_215,plain,
    op2(e20,h2(e13)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_7_87,refute_7_214]) ).

cnf(refute_7_216,plain,
    op2(h2(e13),h2(e13)) = op2(h2(e13),h2(e13)),
    introduced(tautology,[refl,[$fot(op2(h2(e13),h2(e13)))]]) ).

cnf(refute_7_217,plain,
    ( h2(e13) != e20
    | op2(h2(e13),h2(e13)) != op2(h2(e13),h2(e13))
    | op2(h2(e13),h2(e13)) = op2(e20,h2(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(h2(e13),h2(e13))) ),[1,0],$fot(e20)]]) ).

cnf(refute_7_218,plain,
    ( h2(e13) != e20
    | op2(h2(e13),h2(e13)) = op2(e20,h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(h2(e13),h2(e13))) )],[refute_7_216,refute_7_217]) ).

cnf(refute_7_219,plain,
    op2(h2(e13),h2(e13)) = op2(e20,h2(e13)),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_7_87,refute_7_218]) ).

cnf(refute_7_220,plain,
    ( op2(e20,h2(e13)) != op2(e20,e20)
    | op2(h2(e13),h2(e13)) != op2(e20,h2(e13))
    | op2(h2(e13),h2(e13)) = op2(e20,e20) ),
    inference(subst,[],[refute_7_30:[bind(X,$fot(op2(h2(e13),h2(e13)))),bind(Y,$fot(op2(e20,h2(e13)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_7_221,plain,
    ( op2(e20,h2(e13)) != op2(e20,e20)
    | op2(h2(e13),h2(e13)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(e20,h2(e13))) )],[refute_7_219,refute_7_220]) ).

cnf(refute_7_222,plain,
    op2(h2(e13),h2(e13)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,e20)) )],[refute_7_215,refute_7_221]) ).

cnf(refute_7_223,plain,
    ( op2(e20,e20) != h1(e13)
    | op2(h2(e13),h2(e13)) != op2(e20,e20)
    | op2(h2(e13),h2(e13)) = h1(e13) ),
    inference(subst,[],[refute_7_30:[bind(X,$fot(op2(h2(e13),h2(e13)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).

cnf(refute_7_224,plain,
    ( op2(e20,e20) != h1(e13)
    | op2(h2(e13),h2(e13)) = h1(e13) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(e20,e20)) )],[refute_7_222,refute_7_223]) ).

cnf(refute_7_225,plain,
    op2(h2(e13),h2(e13)) = h1(e13),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_7_48,refute_7_224]) ).

cnf(refute_7_226,plain,
    ( h2(e11) != op2(h2(e13),h2(e13))
    | op2(h2(e13),h2(e13)) != h1(e13)
    | h2(e11) = h1(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h1(e13)) ),[0],$fot(op2(h2(e13),h2(e13)))]]) ).

cnf(refute_7_227,plain,
    ( h2(e11) != op2(h2(e13),h2(e13))
    | h2(e11) = h1(e13) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),h1(e13)) )],[refute_7_225,refute_7_226]) ).

cnf(refute_7_228,plain,
    h2(e11) = h1(e13),
    inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_7_174,refute_7_227]) ).

cnf(refute_7_229,plain,
    ( h2(e11) != h1(e13)
    | h4(op1(e11,e11)) != h2(e11)
    | h4(op1(e11,e11)) = h1(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) ),[1],$fot(h1(e13))]]) ).

cnf(refute_7_230,plain,
    ( h4(op1(e11,e11)) != h2(e11)
    | h4(op1(e11,e11)) = h1(e13) ),
    inference(resolve,[$cnf( $equal(h2(e11),h1(e13)) )],[refute_7_228,refute_7_229]) ).

cnf(refute_7_231,plain,
    h4(op1(e11,e11)) = h1(e13),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_7_211,refute_7_230]) ).

cnf(refute_7_232,plain,
    ( h1(e13) != e22
    | h4(op1(e11,e11)) != h1(e13)
    | h4(op1(e11,e11)) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h1(e13)) ),[1],$fot(e22)]]) ).

cnf(refute_7_233,plain,
    ( h4(op1(e11,e11)) != h1(e13)
    | h4(op1(e11,e11)) = e22 ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_7_92,refute_7_232]) ).

cnf(refute_7_234,plain,
    h4(op1(e11,e11)) = e22,
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h1(e13)) )],[refute_7_231,refute_7_233]) ).

cnf(refute_7_235,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(canonicalize,[],[normalize_7_42]) ).

cnf(refute_7_236,plain,
    e13 = op1(e12,e12),
    inference(canonicalize,[],[normalize_7_44]) ).

cnf(refute_7_237,plain,
    ( e13 != op1(e12,e12)
    | op1(e12,e12) = e13 ),
    inference(subst,[],[refute_7_4:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).

cnf(refute_7_238,plain,
    op1(e12,e12) = e13,
    inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_7_236,refute_7_237]) ).

cnf(refute_7_239,plain,
    ( op1(e12,e12) != e10
    | op1(e12,e12) != e13
    | e13 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[0],$fot(e13)]]) ).

cnf(refute_7_240,plain,
    ( op1(e12,e12) != e10
    | e13 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_7_238,refute_7_239]) ).

cnf(refute_7_241,plain,
    ( e13 = e10
    | op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_7_235,refute_7_240]) ).

cnf(refute_7_242,plain,
    e10 != e13,
    inference(canonicalize,[],[normalize_7_46]) ).

cnf(refute_7_243,plain,
    ( e13 != e10
    | e10 = e13 ),
    inference(subst,[],[refute_7_4:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).

cnf(refute_7_244,plain,
    e13 != e10,
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_7_243,refute_7_242]) ).

cnf(refute_7_245,plain,
    ( op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(e13,e10) )],[refute_7_241,refute_7_244]) ).

cnf(refute_7_246,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(canonicalize,[],[normalize_7_47]) ).

cnf(refute_7_247,plain,
    op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).

cnf(refute_7_248,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).

cnf(refute_7_249,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_7_247,refute_7_248]) ).

cnf(refute_7_250,plain,
    op1(e13,op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_7_238,refute_7_249]) ).

cnf(refute_7_251,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_7_252,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).

cnf(refute_7_253,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_7_251,refute_7_252]) ).

cnf(refute_7_254,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_7_238,refute_7_253]) ).

cnf(refute_7_255,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(subst,[],[refute_7_30:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).

cnf(refute_7_256,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_7_254,refute_7_255]) ).

cnf(refute_7_257,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_7_250,refute_7_256]) ).

cnf(refute_7_258,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
    | e11 = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_7_259,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | e11 = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_7_257,refute_7_258]) ).

cnf(refute_7_260,plain,
    e11 = op1(e13,e13),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_7_246,refute_7_259]) ).

cnf(refute_7_261,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_7_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_7_262,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_7_260,refute_7_261]) ).

cnf(refute_7_263,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e13) != e11
    | e11 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).

cnf(refute_7_264,plain,
    ( op1(e13,e13) != e10
    | e11 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_7_262,refute_7_263]) ).

cnf(refute_7_265,plain,
    ( e11 = e10
    | op1(e11,e11) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_7_245,refute_7_264]) ).

cnf(refute_7_266,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_7_48]) ).

cnf(refute_7_267,plain,
    ( e11 != e10
    | e10 = e11 ),
    inference(subst,[],[refute_7_4:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).

cnf(refute_7_268,plain,
    e11 != e10,
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_7_267,refute_7_266]) ).

cnf(refute_7_269,plain,
    op1(e11,e11) = e10,
    inference(resolve,[$cnf( $equal(e11,e10) )],[refute_7_265,refute_7_268]) ).

cnf(refute_7_270,plain,
    h4(op1(e11,e11)) = h4(op1(e11,e11)),
    introduced(tautology,[refl,[$fot(h4(op1(e11,e11)))]]) ).

cnf(refute_7_271,plain,
    ( h4(op1(e11,e11)) != h4(op1(e11,e11))
    | op1(e11,e11) != e10
    | h4(op1(e11,e11)) = h4(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) ),[1,0],$fot(e10)]]) ).

cnf(refute_7_272,plain,
    ( op1(e11,e11) != e10
    | h4(op1(e11,e11)) = h4(e10) ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) )],[refute_7_270,refute_7_271]) ).

cnf(refute_7_273,plain,
    h4(op1(e11,e11)) = h4(e10),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_7_269,refute_7_272]) ).

cnf(refute_7_274,plain,
    ( h4(op1(e11,e11)) != e22
    | h4(op1(e11,e11)) != h4(e10)
    | h4(e10) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),e22) ),[0],$fot(h4(e10))]]) ).

cnf(refute_7_275,plain,
    ( h4(op1(e11,e11)) != e22
    | h4(e10) = e22 ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(e10)) )],[refute_7_273,refute_7_274]) ).

cnf(refute_7_276,plain,
    h4(e10) = e22,
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),e22) )],[refute_7_234,refute_7_275]) ).

cnf(refute_7_277,plain,
    ( h4(e10) != e22
    | h4(e10) != op2(e21,e23)
    | e22 = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e10),op2(e21,e23)) ),[0],$fot(e22)]]) ).

cnf(refute_7_278,plain,
    ( h4(e10) != op2(e21,e23)
    | e22 = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_7_276,refute_7_277]) ).

cnf(refute_7_279,plain,
    e22 = op2(e21,e23),
    inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_7_158,refute_7_278]) ).

cnf(refute_7_280,plain,
    ( e22 != op2(e21,e23)
    | op2(e21,e23) = e22 ),
    inference(subst,[],[refute_7_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_7_281,plain,
    op2(e21,e23) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e21,e23)) )],[refute_7_279,refute_7_280]) ).

cnf(refute_7_282,plain,
    ( op2(e21,e23) != e22
    | op2(e21,e23) != e23
    | e22 = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(e22)]]) ).

cnf(refute_7_283,plain,
    ( op2(e21,e23) != e23
    | e22 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_7_281,refute_7_282]) ).

cnf(refute_7_284,plain,
    ( e20 = e23
    | e21 = e23
    | e22 = e23 ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_7_147,refute_7_283]) ).

cnf(refute_7_285,plain,
    ( e21 = e23
    | e22 = e23 ),
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_7_284,refute_7_77]) ).

cnf(refute_7_286,plain,
    e21 != e23,
    inference(canonicalize,[],[normalize_7_49]) ).

cnf(refute_7_287,plain,
    e22 = e23,
    inference(resolve,[$cnf( $equal(e21,e23) )],[refute_7_285,refute_7_286]) ).

cnf(refute_7_288,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_7_50]) ).

cnf(refute_7_289,plain,
    $false,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_7_287,refute_7_288]) ).

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

fof(normalize_8_1,plain,
    ( op2(e21,e22) = e20
    | op2(e21,e22) = e21
    | op2(e21,e22) = e22
    | op2(e21,e22) = e23 ),
    inference(conjunct,[],[normalize_8_0]) ).

fof(normalize_8_2,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_3,plain,
    op2(e21,e22) != op2(e22,e22),
    inference(conjunct,[],[normalize_8_2]) ).

fof(normalize_8_4,plain,
    ( e20 = op2(op2(e22,e22),e22)
    & e21 = op2(op2(e22,e22),op2(e22,e22))
    & e23 = op2(e22,e22) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_8_5,plain,
    e23 = op2(e22,e22),
    inference(conjunct,[],[normalize_8_4]) ).

fof(normalize_8_6,plain,
    op2(e21,e22) != op2(e23,e22),
    inference(conjunct,[],[normalize_8_2]) ).

fof(normalize_8_7,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(conjunct,[],[normalize_8_4]) ).

fof(normalize_8_8,plain,
    op2(e20,e22) != op2(e21,e22),
    inference(conjunct,[],[normalize_8_2]) ).

fof(normalize_8_9,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e22) = e21
    | op2(e20,e22) = e22
    | op2(e20,e22) = e23 ),
    inference(conjunct,[],[normalize_8_0]) ).

fof(normalize_8_10,plain,
    op2(e20,e22) != op2(e22,e22),
    inference(conjunct,[],[normalize_8_2]) ).

fof(normalize_8_11,plain,
    op2(e20,e22) != op2(e23,e22),
    inference(conjunct,[],[normalize_8_2]) ).

fof(normalize_8_12,plain,
    op2(e20,e20) != op2(e20,e22),
    inference(conjunct,[],[normalize_8_2]) ).

fof(normalize_8_13,plain,
    ( h1(e10) = op2(op2(e20,e20),e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = e20
    & h1(e13) = op2(e20,e20) ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_8_14,plain,
    h1(e13) = op2(e20,e20),
    inference(conjunct,[],[normalize_8_13]) ).

fof(normalize_8_15,plain,
    ( ( ( op2(e20,e20) != e21
        & op2(e21,e21) = e20 )
      | ( op2(e20,e20) != e22
        & op2(e22,e22) = e20 )
      | ( op2(e20,e20) != e23
        & op2(e23,e23) = e20 ) )
    & ( ( op2(e21,e21) != e20
        & op2(e20,e20) = e21 )
      | ( op2(e21,e21) != e22
        & op2(e22,e22) = e21 )
      | ( op2(e21,e21) != e23
        & op2(e23,e23) = e21 ) )
    & ( ( op2(e22,e22) != e20
        & op2(e20,e20) = e22 )
      | ( op2(e22,e22) != e21
        & op2(e21,e21) = e22 )
      | ( op2(e22,e22) != e23
        & op2(e23,e23) = e22 ) )
    & ( ( op2(e23,e23) != e20
        & op2(e20,e20) = e23 )
      | ( op2(e23,e23) != e21
        & op2(e21,e21) = e23 )
      | ( op2(e23,e23) != e22
        & op2(e22,e22) = e23 ) ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_8_16,plain,
    ( ( op2(e22,e22) != e20
      & op2(e20,e20) = e22 )
    | ( op2(e22,e22) != e21
      & op2(e21,e21) = e22 )
    | ( op2(e22,e22) != e23
      & op2(e23,e23) = e22 ) ),
    inference(conjunct,[],[normalize_8_15]) ).

fof(normalize_8_17,plain,
    ( ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e23
      | op2(e21,e21) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e22) != e23
      | op2(e20,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e20,e20) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e20,e20) = e22
      | op2(e21,e21) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 ) ),
    inference(clausify,[],[normalize_8_16]) ).

fof(normalize_8_18,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(conjunct,[],[normalize_8_17]) ).

fof(normalize_8_19,plain,
    ( h2(e10) = op2(op2(e21,e21),e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = e21
    & h2(e13) = op2(e21,e21) ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_8_20,plain,
    h2(e13) = op2(e21,e21),
    inference(conjunct,[],[normalize_8_19]) ).

fof(normalize_8_21,plain,
    ( ( op2(e20,e20) != e21
      & op2(e21,e21) = e20 )
    | ( op2(e20,e20) != e22
      & op2(e22,e22) = e20 )
    | ( op2(e20,e20) != e23
      & op2(e23,e23) = e20 ) ),
    inference(conjunct,[],[normalize_8_15]) ).

fof(normalize_8_22,plain,
    ( ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e20,e20) != e23 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e23
      | op2(e22,e22) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e20) != e23
      | op2(e21,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e21) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e21) = e20
      | op2(e22,e22) = e20 )
    & ( op2(e21,e21) = e20
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 ) ),
    inference(clausify,[],[normalize_8_21]) ).

fof(normalize_8_23,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(conjunct,[],[normalize_8_22]) ).

fof(normalize_8_24,plain,
    ( h4(e10) = op2(op2(e23,e23),e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = e23
    & h4(e13) = op2(e23,e23) ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_8_25,plain,
    h4(e13) = op2(e23,e23),
    inference(conjunct,[],[normalize_8_24]) ).

fof(normalize_8_26,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_8_27,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_8_26]) ).

fof(normalize_8_28,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(conjunct,[],[normalize_8_4]) ).

fof(normalize_8_29,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_8_26]) ).

fof(normalize_8_30,plain,
    e20 != e22,
    inference(conjunct,[],[normalize_8_26]) ).

fof(normalize_8_31,plain,
    op2(e21,e22) != op2(e21,e23),
    inference(conjunct,[],[normalize_8_2]) ).

fof(normalize_8_32,plain,
    h4(e10) = op2(op2(e23,e23),e23),
    inference(conjunct,[],[normalize_8_24]) ).

fof(normalize_8_33,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_34,plain,
    h1(e12) = e20,
    inference(conjunct,[],[normalize_8_13]) ).

fof(normalize_8_35,plain,
    h2(e12) = e21,
    inference(conjunct,[],[normalize_8_19]) ).

fof(normalize_8_36,plain,
    ( h3(e10) = op2(op2(e22,e22),e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = e22
    & h3(e13) = op2(e22,e22) ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_8_37,plain,
    h3(e12) = e22,
    inference(conjunct,[],[normalize_8_36]) ).

fof(normalize_8_38,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_33,normalize_8_34,normalize_8_35,normalize_8_37]) ).

fof(normalize_8_39,plain,
    h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
    inference(conjunct,[],[normalize_8_38]) ).

fof(normalize_8_40,plain,
    h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
    inference(conjunct,[],[normalize_8_19]) ).

fof(normalize_8_41,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_8_24]) ).

fof(normalize_8_42,plain,
    ( ( ( op1(e10,e10) != e11
        & op1(e11,e11) = e10 )
      | ( op1(e10,e10) != e12
        & op1(e12,e12) = e10 )
      | ( op1(e10,e10) != e13
        & op1(e13,e13) = e10 ) )
    & ( ( op1(e11,e11) != e10
        & op1(e10,e10) = e11 )
      | ( op1(e11,e11) != e12
        & op1(e12,e12) = e11 )
      | ( op1(e11,e11) != e13
        & op1(e13,e13) = e11 ) )
    & ( ( op1(e12,e12) != e10
        & op1(e10,e10) = e12 )
      | ( op1(e12,e12) != e11
        & op1(e11,e11) = e12 )
      | ( op1(e12,e12) != e13
        & op1(e13,e13) = e12 ) )
    & ( ( op1(e13,e13) != e10
        & op1(e10,e10) = e13 )
      | ( op1(e13,e13) != e11
        & op1(e11,e11) = e13 )
      | ( op1(e13,e13) != e12
        & op1(e12,e12) = e13 ) ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_8_43,plain,
    ( ( op1(e10,e10) != e11
      & op1(e11,e11) = e10 )
    | ( op1(e10,e10) != e12
      & op1(e12,e12) = e10 )
    | ( op1(e10,e10) != e13
      & op1(e13,e13) = e10 ) ),
    inference(conjunct,[],[normalize_8_42]) ).

fof(normalize_8_44,plain,
    ( ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e10,e10) != e13 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e13
      | op1(e12,e12) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e10) != e13
      | op1(e11,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e11) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e11) = e10
      | op1(e12,e12) = e10 )
    & ( op1(e11,e11) = e10
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 ) ),
    inference(clausify,[],[normalize_8_43]) ).

fof(normalize_8_45,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(conjunct,[],[normalize_8_44]) ).

fof(normalize_8_46,plain,
    ( e10 = op1(op1(e12,e12),e12)
    & e11 = op1(op1(e12,e12),op1(e12,e12))
    & e13 = op1(e12,e12) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_8_47,plain,
    e13 = op1(e12,e12),
    inference(conjunct,[],[normalize_8_46]) ).

fof(normalize_8_48,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_8_49,plain,
    e10 != e13,
    inference(conjunct,[],[normalize_8_48]) ).

fof(normalize_8_50,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(conjunct,[],[normalize_8_46]) ).

fof(normalize_8_51,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_8_48]) ).

cnf(refute_8_0,plain,
    ( op2(e21,e22) = e20
    | op2(e21,e22) = e21
    | op2(e21,e22) = e22
    | op2(e21,e22) = e23 ),
    inference(canonicalize,[],[normalize_8_1]) ).

cnf(refute_8_1,plain,
    op2(e21,e22) != op2(e22,e22),
    inference(canonicalize,[],[normalize_8_3]) ).

cnf(refute_8_2,plain,
    e23 = op2(e22,e22),
    inference(canonicalize,[],[normalize_8_5]) ).

cnf(refute_8_3,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_8_4,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_8_5,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_8_3,refute_8_4]) ).

cnf(refute_8_6,plain,
    ( e23 != op2(e22,e22)
    | op2(e22,e22) = e23 ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_8_7,plain,
    op2(e22,e22) = e23,
    inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_8_2,refute_8_6]) ).

cnf(refute_8_8,plain,
    ( op2(e21,e22) != e23
    | op2(e22,e22) != e23
    | op2(e21,e22) = op2(e22,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).

cnf(refute_8_9,plain,
    ( op2(e21,e22) != e23
    | op2(e21,e22) = op2(e22,e22) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_7,refute_8_8]) ).

cnf(refute_8_10,plain,
    op2(e21,e22) != e23,
    inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_8_9,refute_8_1]) ).

cnf(refute_8_11,plain,
    ( op2(e21,e22) = e20
    | op2(e21,e22) = e21
    | op2(e21,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_8_0,refute_8_10]) ).

cnf(refute_8_12,plain,
    op2(e21,e22) != op2(e23,e22),
    inference(canonicalize,[],[normalize_8_6]) ).

cnf(refute_8_13,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(canonicalize,[],[normalize_8_7]) ).

cnf(refute_8_14,plain,
    op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).

cnf(refute_8_15,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).

cnf(refute_8_16,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),e22) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_8_14,refute_8_15]) ).

cnf(refute_8_17,plain,
    op2(op2(e22,e22),e22) = op2(e23,e22),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_7,refute_8_16]) ).

cnf(refute_8_18,plain,
    ( e20 != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) != op2(e23,e22)
    | e20 = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).

cnf(refute_8_19,plain,
    ( e20 != op2(op2(e22,e22),e22)
    | e20 = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_8_17,refute_8_18]) ).

cnf(refute_8_20,plain,
    e20 = op2(e23,e22),
    inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_8_13,refute_8_19]) ).

cnf(refute_8_21,plain,
    ( e20 != op2(e23,e22)
    | op2(e23,e22) = e20 ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).

cnf(refute_8_22,plain,
    op2(e23,e22) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_8_20,refute_8_21]) ).

cnf(refute_8_23,plain,
    ( op2(e21,e22) != e20
    | op2(e23,e22) != e20
    | op2(e21,e22) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).

cnf(refute_8_24,plain,
    ( op2(e21,e22) != e20
    | op2(e21,e22) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_8_22,refute_8_23]) ).

cnf(refute_8_25,plain,
    op2(e21,e22) != e20,
    inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_8_24,refute_8_12]) ).

cnf(refute_8_26,plain,
    ( op2(e21,e22) = e21
    | op2(e21,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_8_11,refute_8_25]) ).

cnf(refute_8_27,plain,
    op2(e20,e22) != op2(e21,e22),
    inference(canonicalize,[],[normalize_8_8]) ).

cnf(refute_8_28,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e22) = e21
    | op2(e20,e22) = e22
    | op2(e20,e22) = e23 ),
    inference(canonicalize,[],[normalize_8_9]) ).

cnf(refute_8_29,plain,
    op2(e20,e22) != op2(e22,e22),
    inference(canonicalize,[],[normalize_8_10]) ).

cnf(refute_8_30,plain,
    ( op2(e20,e22) != e23
    | op2(e22,e22) != e23
    | op2(e20,e22) = op2(e22,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).

cnf(refute_8_31,plain,
    ( op2(e20,e22) != e23
    | op2(e20,e22) = op2(e22,e22) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_7,refute_8_30]) ).

cnf(refute_8_32,plain,
    op2(e20,e22) != e23,
    inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_8_31,refute_8_29]) ).

cnf(refute_8_33,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e22) = e21
    | op2(e20,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_8_28,refute_8_32]) ).

cnf(refute_8_34,plain,
    op2(e20,e22) != op2(e23,e22),
    inference(canonicalize,[],[normalize_8_11]) ).

cnf(refute_8_35,plain,
    ( op2(e20,e22) != e20
    | op2(e23,e22) != e20
    | op2(e20,e22) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).

cnf(refute_8_36,plain,
    ( op2(e20,e22) != e20
    | op2(e20,e22) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_8_22,refute_8_35]) ).

cnf(refute_8_37,plain,
    op2(e20,e22) != e20,
    inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_8_36,refute_8_34]) ).

cnf(refute_8_38,plain,
    ( op2(e20,e22) = e21
    | op2(e20,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_8_33,refute_8_37]) ).

cnf(refute_8_39,plain,
    op2(e20,e20) != op2(e20,e22),
    inference(canonicalize,[],[normalize_8_12]) ).

cnf(refute_8_40,plain,
    h1(e13) = op2(e20,e20),
    inference(canonicalize,[],[normalize_8_14]) ).

cnf(refute_8_41,plain,
    ( h1(e13) != op2(e20,e20)
    | op2(e20,e20) = h1(e13) ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_8_42,plain,
    op2(e20,e20) = h1(e13),
    inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_8_40,refute_8_41]) ).

cnf(refute_8_43,plain,
    ( h1(e13) != op2(e20,e22)
    | op2(e20,e20) != h1(e13)
    | op2(e20,e20) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).

cnf(refute_8_44,plain,
    ( h1(e13) != op2(e20,e22)
    | op2(e20,e20) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_8_42,refute_8_43]) ).

cnf(refute_8_45,plain,
    h1(e13) != op2(e20,e22),
    inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_8_44,refute_8_39]) ).

cnf(refute_8_46,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(canonicalize,[],[normalize_8_18]) ).

cnf(refute_8_47,plain,
    ( e23 != e23
    | op2(e22,e22) != e23
    | op2(e22,e22) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(e23)]]) ).

cnf(refute_8_48,plain,
    ( e23 != e23
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_7,refute_8_47]) ).

cnf(refute_8_49,plain,
    ( e23 != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_48,refute_8_46]) ).

cnf(refute_8_50,plain,
    ( op2(e20,e20) != e22
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).

cnf(refute_8_51,plain,
    ( op2(e20,e20) != e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_8_42,refute_8_50]) ).

cnf(refute_8_52,plain,
    ( e23 != e23
    | h1(e13) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_8_49,refute_8_51]) ).

cnf(refute_8_53,plain,
    h2(e13) = op2(e21,e21),
    inference(canonicalize,[],[normalize_8_20]) ).

cnf(refute_8_54,plain,
    ( h2(e13) != op2(e21,e21)
    | op2(e21,e21) = h2(e13) ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_8_55,plain,
    op2(e21,e21) = h2(e13),
    inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_8_53,refute_8_54]) ).

cnf(refute_8_56,plain,
    ( op2(e21,e21) != e22
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).

cnf(refute_8_57,plain,
    ( op2(e21,e21) != e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_8_55,refute_8_56]) ).

cnf(refute_8_58,plain,
    ( e23 != e23
    | h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_8_52,refute_8_57]) ).

cnf(refute_8_59,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_8_60,plain,
    ( h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_8_59,refute_8_58]) ).

cnf(refute_8_61,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(canonicalize,[],[normalize_8_23]) ).

cnf(refute_8_62,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).

cnf(refute_8_63,plain,
    ( op2(e21,e21) != e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_8_55,refute_8_62]) ).

cnf(refute_8_64,plain,
    ( h2(e13) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_8_61,refute_8_63]) ).

cnf(refute_8_65,plain,
    ( op2(e22,e22) != e20
    | op2(e22,e22) != e23
    | e23 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).

cnf(refute_8_66,plain,
    ( op2(e22,e22) != e20
    | e23 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_7,refute_8_65]) ).

cnf(refute_8_67,plain,
    ( e23 = e20
    | h2(e13) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_8_64,refute_8_66]) ).

cnf(refute_8_68,plain,
    h4(e13) = op2(e23,e23),
    inference(canonicalize,[],[normalize_8_25]) ).

cnf(refute_8_69,plain,
    ( h4(e13) != op2(e23,e23)
    | op2(e23,e23) = h4(e13) ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_8_70,plain,
    op2(e23,e23) = h4(e13),
    inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_8_68,refute_8_69]) ).

cnf(refute_8_71,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e23) != h4(e13)
    | h4(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(h4(e13))]]) ).

cnf(refute_8_72,plain,
    ( op2(e23,e23) != e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_8_70,refute_8_71]) ).

cnf(refute_8_73,plain,
    ( e23 = e20
    | h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_8_67,refute_8_72]) ).

cnf(refute_8_74,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_8_27]) ).

cnf(refute_8_75,plain,
    ( e23 != e20
    | e20 = e23 ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).

cnf(refute_8_76,plain,
    e23 != e20,
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_8_75,refute_8_74]) ).

cnf(refute_8_77,plain,
    ( h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(e23,e20) )],[refute_8_73,refute_8_76]) ).

cnf(refute_8_78,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(canonicalize,[],[normalize_8_28]) ).

cnf(refute_8_79,plain,
    op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).

cnf(refute_8_80,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).

cnf(refute_8_81,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_8_79,refute_8_80]) ).

cnf(refute_8_82,plain,
    op2(e23,op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_7,refute_8_81]) ).

cnf(refute_8_83,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_8_84,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).

cnf(refute_8_85,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_8_83,refute_8_84]) ).

cnf(refute_8_86,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_7,refute_8_85]) ).

cnf(refute_8_87,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_8_88,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_8_5,refute_8_87]) ).

cnf(refute_8_89,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(subst,[],[refute_8_88:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).

cnf(refute_8_90,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_8_86,refute_8_89]) ).

cnf(refute_8_91,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_8_82,refute_8_90]) ).

cnf(refute_8_92,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(subst,[],[refute_8_88:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).

cnf(refute_8_93,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_8_91,refute_8_92]) ).

cnf(refute_8_94,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_8_70,refute_8_93]) ).

cnf(refute_8_95,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
    | e21 = h4(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_8_96,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | e21 = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_8_94,refute_8_95]) ).

cnf(refute_8_97,plain,
    e21 = h4(e13),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_8_78,refute_8_96]) ).

cnf(refute_8_98,plain,
    ( e21 != h4(e13)
    | h4(e13) = e21 ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).

cnf(refute_8_99,plain,
    h4(e13) = e21,
    inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_8_97,refute_8_98]) ).

cnf(refute_8_100,plain,
    ( h4(e13) != e20
    | h4(e13) != e21
    | e21 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),e20) ),[0],$fot(e21)]]) ).

cnf(refute_8_101,plain,
    ( h4(e13) != e20
    | e21 = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_8_99,refute_8_100]) ).

cnf(refute_8_102,plain,
    ( e21 = e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_8_77,refute_8_101]) ).

cnf(refute_8_103,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_8_29]) ).

cnf(refute_8_104,plain,
    ( e21 != e20
    | e20 = e21 ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).

cnf(refute_8_105,plain,
    e21 != e20,
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_8_104,refute_8_103]) ).

cnf(refute_8_106,plain,
    h2(e13) = e20,
    inference(resolve,[$cnf( $equal(e21,e20) )],[refute_8_102,refute_8_105]) ).

cnf(refute_8_107,plain,
    ( h2(e13) != e20
    | h2(e13) != e22
    | e20 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[0],$fot(e20)]]) ).

cnf(refute_8_108,plain,
    ( h2(e13) != e22
    | e20 = e22 ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_8_106,refute_8_107]) ).

cnf(refute_8_109,plain,
    ( e20 = e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_8_60,refute_8_108]) ).

cnf(refute_8_110,plain,
    e20 != e22,
    inference(canonicalize,[],[normalize_8_30]) ).

cnf(refute_8_111,plain,
    h1(e13) = e22,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_8_109,refute_8_110]) ).

cnf(refute_8_112,plain,
    ( e22 != op2(e20,e22)
    | h1(e13) != e22
    | h1(e13) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[1],$fot(op2(e20,e22))]]) ).

cnf(refute_8_113,plain,
    ( e22 != op2(e20,e22)
    | h1(e13) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_8_111,refute_8_112]) ).

cnf(refute_8_114,plain,
    e22 != op2(e20,e22),
    inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_8_113,refute_8_45]) ).

cnf(refute_8_115,plain,
    ( op2(e20,e22) != e22
    | e22 = op2(e20,e22) ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(e22))]]) ).

cnf(refute_8_116,plain,
    op2(e20,e22) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e22)) )],[refute_8_115,refute_8_114]) ).

cnf(refute_8_117,plain,
    op2(e20,e22) = e21,
    inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_8_38,refute_8_116]) ).

cnf(refute_8_118,plain,
    ( e21 != op2(e21,e22)
    | op2(e20,e22) != e21
    | op2(e20,e22) = op2(e21,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e21) ),[1],$fot(op2(e21,e22))]]) ).

cnf(refute_8_119,plain,
    ( e21 != op2(e21,e22)
    | op2(e20,e22) = op2(e21,e22) ),
    inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_8_117,refute_8_118]) ).

cnf(refute_8_120,plain,
    e21 != op2(e21,e22),
    inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_8_119,refute_8_27]) ).

cnf(refute_8_121,plain,
    ( op2(e21,e22) != e21
    | e21 = op2(e21,e22) ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(op2(e21,e22))),bind(Y,$fot(e21))]]) ).

cnf(refute_8_122,plain,
    op2(e21,e22) != e21,
    inference(resolve,[$cnf( $equal(e21,op2(e21,e22)) )],[refute_8_121,refute_8_120]) ).

cnf(refute_8_123,plain,
    op2(e21,e22) = e22,
    inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_8_26,refute_8_122]) ).

cnf(refute_8_124,plain,
    op2(e21,e22) != op2(e21,e23),
    inference(canonicalize,[],[normalize_8_31]) ).

cnf(refute_8_125,plain,
    h4(e10) = op2(op2(e23,e23),e23),
    inference(canonicalize,[],[normalize_8_32]) ).

cnf(refute_8_126,plain,
    ( h4(e13) != e21
    | op2(e23,e23) != h4(e13)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_8_88:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).

cnf(refute_8_127,plain,
    ( h4(e13) != e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_8_70,refute_8_126]) ).

cnf(refute_8_128,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_8_99,refute_8_127]) ).

cnf(refute_8_129,plain,
    op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).

cnf(refute_8_130,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
    | op2(op2(e23,e23),e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).

cnf(refute_8_131,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_8_129,refute_8_130]) ).

cnf(refute_8_132,plain,
    op2(op2(e23,e23),e23) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_128,refute_8_131]) ).

cnf(refute_8_133,plain,
    ( h4(e10) != op2(op2(e23,e23),e23)
    | op2(op2(e23,e23),e23) != op2(e21,e23)
    | h4(e10) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).

cnf(refute_8_134,plain,
    ( h4(e10) != op2(op2(e23,e23),e23)
    | h4(e10) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_8_132,refute_8_133]) ).

cnf(refute_8_135,plain,
    h4(e10) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_8_125,refute_8_134]) ).

cnf(refute_8_136,plain,
    ( h4(e10) != op2(e21,e23)
    | op2(e21,e23) = h4(e10) ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_8_137,plain,
    op2(e21,e23) = h4(e10),
    inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_8_135,refute_8_136]) ).

cnf(refute_8_138,plain,
    ( op2(e21,e22) != h4(e10)
    | op2(e21,e23) != h4(e10)
    | op2(e21,e22) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).

cnf(refute_8_139,plain,
    ( op2(e21,e22) != h4(e10)
    | op2(e21,e22) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_8_137,refute_8_138]) ).

cnf(refute_8_140,plain,
    op2(e21,e22) != h4(e10),
    inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e21,e23)) )],[refute_8_139,refute_8_124]) ).

cnf(refute_8_141,plain,
    h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
    inference(canonicalize,[],[normalize_8_39]) ).

cnf(refute_8_142,plain,
    h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
    inference(canonicalize,[],[normalize_8_40]) ).

cnf(refute_8_143,plain,
    op2(h2(e13),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
    introduced(tautology,[refl,[$fot(op2(h2(e13),op2(e21,e21)))]]) ).

cnf(refute_8_144,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(h2(e13),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
    | op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).

cnf(refute_8_145,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_8_143,refute_8_144]) ).

cnf(refute_8_146,plain,
    op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_8_55,refute_8_145]) ).

cnf(refute_8_147,plain,
    op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
    introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).

cnf(refute_8_148,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e13))]]) ).

cnf(refute_8_149,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_8_147,refute_8_148]) ).

cnf(refute_8_150,plain,
    op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_8_55,refute_8_149]) ).

cnf(refute_8_151,plain,
    ( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
    | op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    inference(subst,[],[refute_8_88:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e13),op2(e21,e21)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).

cnf(refute_8_152,plain,
    ( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_8_150,refute_8_151]) ).

cnf(refute_8_153,plain,
    op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_8_146,refute_8_152]) ).

cnf(refute_8_154,plain,
    ( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
    | op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),h2(e13))
    | h2(e11) = op2(h2(e13),h2(e13)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e13),h2(e13))) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).

cnf(refute_8_155,plain,
    ( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
    | h2(e11) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_8_153,refute_8_154]) ).

cnf(refute_8_156,plain,
    h2(e11) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(h2(e11),op2(op2(e21,e21),op2(e21,e21))) )],[refute_8_142,refute_8_155]) ).

cnf(refute_8_157,plain,
    ( h2(e11) != op2(h2(e13),h2(e13))
    | op2(h2(e13),h2(e13)) = h2(e11) ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(h2(e13),h2(e13))))]]) ).

cnf(refute_8_158,plain,
    op2(h2(e13),h2(e13)) = h2(e11),
    inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_8_156,refute_8_157]) ).

cnf(refute_8_159,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_8_41]) ).

cnf(refute_8_160,plain,
    op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).

cnf(refute_8_161,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
    | op2(e23,e23) != e21
    | op2(e21,op2(e23,e23)) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).

cnf(refute_8_162,plain,
    ( op2(e23,e23) != e21
    | op2(e21,op2(e23,e23)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_8_160,refute_8_161]) ).

cnf(refute_8_163,plain,
    op2(e21,op2(e23,e23)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_128,refute_8_162]) ).

cnf(refute_8_164,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_165,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,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(e21)]]) ).

cnf(refute_8_166,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_8_164,refute_8_165]) ).

cnf(refute_8_167,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_8_128,refute_8_166]) ).

cnf(refute_8_168,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
    inference(subst,[],[refute_8_88:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).

cnf(refute_8_169,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_8_167,refute_8_168]) ).

cnf(refute_8_170,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_8_163,refute_8_169]) ).

cnf(refute_8_171,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
    inference(subst,[],[refute_8_88:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).

cnf(refute_8_172,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_8_170,refute_8_171]) ).

cnf(refute_8_173,plain,
    op2(op2(e23,e23),op2(e23,e23)) = h2(e13),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_8_55,refute_8_172]) ).

cnf(refute_8_174,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != h2(e13)
    | h4(e11) = h2(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h2(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_8_175,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | h4(e11) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e13)) )],[refute_8_173,refute_8_174]) ).

cnf(refute_8_176,plain,
    h4(e11) = h2(e13),
    inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_8_159,refute_8_175]) ).

cnf(refute_8_177,plain,
    op2(h2(e13),h4(e11)) = op2(h2(e13),h4(e11)),
    introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e11)))]]) ).

cnf(refute_8_178,plain,
    ( h4(e11) != h2(e13)
    | op2(h2(e13),h4(e11)) != op2(h2(e13),h4(e11))
    | op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h4(e11))) ),[1,1],$fot(h2(e13))]]) ).

cnf(refute_8_179,plain,
    ( h4(e11) != h2(e13)
    | op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h4(e11))) )],[refute_8_177,refute_8_178]) ).

cnf(refute_8_180,plain,
    op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_8_176,refute_8_179]) ).

cnf(refute_8_181,plain,
    op2(h4(e11),h4(e11)) = op2(h4(e11),h4(e11)),
    introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e11)))]]) ).

cnf(refute_8_182,plain,
    ( h4(e11) != h2(e13)
    | op2(h4(e11),h4(e11)) != op2(h4(e11),h4(e11))
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) ),[1,0],$fot(h2(e13))]]) ).

cnf(refute_8_183,plain,
    ( h4(e11) != h2(e13)
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) )],[refute_8_181,refute_8_182]) ).

cnf(refute_8_184,plain,
    op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)),
    inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_8_176,refute_8_183]) ).

cnf(refute_8_185,plain,
    ( op2(h2(e13),h4(e11)) != op2(h2(e13),h2(e13))
    | op2(h4(e11),h4(e11)) != op2(h2(e13),h4(e11))
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)) ),
    inference(subst,[],[refute_8_88:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(h2(e13),h4(e11)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).

cnf(refute_8_186,plain,
    ( op2(h2(e13),h4(e11)) != op2(h2(e13),h2(e13))
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h2(e13),h4(e11))) )],[refute_8_184,refute_8_185]) ).

cnf(refute_8_187,plain,
    op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h2(e13))) )],[refute_8_180,refute_8_186]) ).

cnf(refute_8_188,plain,
    ( op2(h2(e13),h2(e13)) != h2(e11)
    | op2(h4(e11),h4(e11)) != op2(h2(e13),h2(e13))
    | op2(h4(e11),h4(e11)) = h2(e11) ),
    inference(subst,[],[refute_8_88:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(h2(e13),h2(e13)))),bind(Z,$fot(h2(e11)))]]) ).

cnf(refute_8_189,plain,
    ( op2(h2(e13),h2(e13)) != h2(e11)
    | op2(h4(e11),h4(e11)) = h2(e11) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h2(e13),h2(e13))) )],[refute_8_187,refute_8_188]) ).

cnf(refute_8_190,plain,
    op2(h4(e11),h4(e11)) = h2(e11),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),h2(e11)) )],[refute_8_158,refute_8_189]) ).

cnf(refute_8_191,plain,
    ( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | op2(h4(e11),h4(e11)) != h2(e11)
    | h4(op1(e11,e11)) = h2(e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),h2(e11)) ),[0],$fot(op2(h4(e11),h4(e11)))]]) ).

cnf(refute_8_192,plain,
    ( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | h4(op1(e11,e11)) = h2(e11) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),h2(e11)) )],[refute_8_190,refute_8_191]) ).

cnf(refute_8_193,plain,
    h4(op1(e11,e11)) = h2(e11),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_8_141,refute_8_192]) ).

cnf(refute_8_194,plain,
    op2(e20,h2(e13)) = op2(e20,h2(e13)),
    introduced(tautology,[refl,[$fot(op2(e20,h2(e13)))]]) ).

cnf(refute_8_195,plain,
    ( h2(e13) != e20
    | op2(e20,h2(e13)) != op2(e20,h2(e13))
    | op2(e20,h2(e13)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,h2(e13))) ),[1,1],$fot(e20)]]) ).

cnf(refute_8_196,plain,
    ( h2(e13) != e20
    | op2(e20,h2(e13)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,h2(e13))) )],[refute_8_194,refute_8_195]) ).

cnf(refute_8_197,plain,
    op2(e20,h2(e13)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_8_106,refute_8_196]) ).

cnf(refute_8_198,plain,
    op2(h2(e13),h2(e13)) = op2(h2(e13),h2(e13)),
    introduced(tautology,[refl,[$fot(op2(h2(e13),h2(e13)))]]) ).

cnf(refute_8_199,plain,
    ( h2(e13) != e20
    | op2(h2(e13),h2(e13)) != op2(h2(e13),h2(e13))
    | op2(h2(e13),h2(e13)) = op2(e20,h2(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(h2(e13),h2(e13))) ),[1,0],$fot(e20)]]) ).

cnf(refute_8_200,plain,
    ( h2(e13) != e20
    | op2(h2(e13),h2(e13)) = op2(e20,h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(h2(e13),h2(e13))) )],[refute_8_198,refute_8_199]) ).

cnf(refute_8_201,plain,
    op2(h2(e13),h2(e13)) = op2(e20,h2(e13)),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_8_106,refute_8_200]) ).

cnf(refute_8_202,plain,
    ( op2(e20,h2(e13)) != op2(e20,e20)
    | op2(h2(e13),h2(e13)) != op2(e20,h2(e13))
    | op2(h2(e13),h2(e13)) = op2(e20,e20) ),
    inference(subst,[],[refute_8_88:[bind(X,$fot(op2(h2(e13),h2(e13)))),bind(Y,$fot(op2(e20,h2(e13)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_8_203,plain,
    ( op2(e20,h2(e13)) != op2(e20,e20)
    | op2(h2(e13),h2(e13)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(e20,h2(e13))) )],[refute_8_201,refute_8_202]) ).

cnf(refute_8_204,plain,
    op2(h2(e13),h2(e13)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,e20)) )],[refute_8_197,refute_8_203]) ).

cnf(refute_8_205,plain,
    ( op2(e20,e20) != h1(e13)
    | op2(h2(e13),h2(e13)) != op2(e20,e20)
    | op2(h2(e13),h2(e13)) = h1(e13) ),
    inference(subst,[],[refute_8_88:[bind(X,$fot(op2(h2(e13),h2(e13)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).

cnf(refute_8_206,plain,
    ( op2(e20,e20) != h1(e13)
    | op2(h2(e13),h2(e13)) = h1(e13) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(e20,e20)) )],[refute_8_204,refute_8_205]) ).

cnf(refute_8_207,plain,
    op2(h2(e13),h2(e13)) = h1(e13),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_8_42,refute_8_206]) ).

cnf(refute_8_208,plain,
    ( h2(e11) != op2(h2(e13),h2(e13))
    | op2(h2(e13),h2(e13)) != h1(e13)
    | h2(e11) = h1(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h1(e13)) ),[0],$fot(op2(h2(e13),h2(e13)))]]) ).

cnf(refute_8_209,plain,
    ( h2(e11) != op2(h2(e13),h2(e13))
    | h2(e11) = h1(e13) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),h1(e13)) )],[refute_8_207,refute_8_208]) ).

cnf(refute_8_210,plain,
    h2(e11) = h1(e13),
    inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_8_156,refute_8_209]) ).

cnf(refute_8_211,plain,
    ( h2(e11) != h1(e13)
    | h4(op1(e11,e11)) != h2(e11)
    | h4(op1(e11,e11)) = h1(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) ),[1],$fot(h1(e13))]]) ).

cnf(refute_8_212,plain,
    ( h4(op1(e11,e11)) != h2(e11)
    | h4(op1(e11,e11)) = h1(e13) ),
    inference(resolve,[$cnf( $equal(h2(e11),h1(e13)) )],[refute_8_210,refute_8_211]) ).

cnf(refute_8_213,plain,
    h4(op1(e11,e11)) = h1(e13),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_8_193,refute_8_212]) ).

cnf(refute_8_214,plain,
    ( h1(e13) != e22
    | h4(op1(e11,e11)) != h1(e13)
    | h4(op1(e11,e11)) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h1(e13)) ),[1],$fot(e22)]]) ).

cnf(refute_8_215,plain,
    ( h4(op1(e11,e11)) != h1(e13)
    | h4(op1(e11,e11)) = e22 ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_8_111,refute_8_214]) ).

cnf(refute_8_216,plain,
    h4(op1(e11,e11)) = e22,
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h1(e13)) )],[refute_8_213,refute_8_215]) ).

cnf(refute_8_217,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(canonicalize,[],[normalize_8_45]) ).

cnf(refute_8_218,plain,
    e13 = op1(e12,e12),
    inference(canonicalize,[],[normalize_8_47]) ).

cnf(refute_8_219,plain,
    ( e13 != op1(e12,e12)
    | op1(e12,e12) = e13 ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).

cnf(refute_8_220,plain,
    op1(e12,e12) = e13,
    inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_8_218,refute_8_219]) ).

cnf(refute_8_221,plain,
    ( op1(e12,e12) != e10
    | op1(e12,e12) != e13
    | e13 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[0],$fot(e13)]]) ).

cnf(refute_8_222,plain,
    ( op1(e12,e12) != e10
    | e13 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_8_220,refute_8_221]) ).

cnf(refute_8_223,plain,
    ( e13 = e10
    | op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_8_217,refute_8_222]) ).

cnf(refute_8_224,plain,
    e10 != e13,
    inference(canonicalize,[],[normalize_8_49]) ).

cnf(refute_8_225,plain,
    ( e13 != e10
    | e10 = e13 ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).

cnf(refute_8_226,plain,
    e13 != e10,
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_8_225,refute_8_224]) ).

cnf(refute_8_227,plain,
    ( op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(e13,e10) )],[refute_8_223,refute_8_226]) ).

cnf(refute_8_228,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(canonicalize,[],[normalize_8_50]) ).

cnf(refute_8_229,plain,
    op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).

cnf(refute_8_230,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).

cnf(refute_8_231,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_8_229,refute_8_230]) ).

cnf(refute_8_232,plain,
    op1(e13,op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_8_220,refute_8_231]) ).

cnf(refute_8_233,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_8_234,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).

cnf(refute_8_235,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_8_233,refute_8_234]) ).

cnf(refute_8_236,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_8_220,refute_8_235]) ).

cnf(refute_8_237,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(subst,[],[refute_8_88:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).

cnf(refute_8_238,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_8_236,refute_8_237]) ).

cnf(refute_8_239,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_8_232,refute_8_238]) ).

cnf(refute_8_240,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
    | e11 = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_8_241,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | e11 = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_8_239,refute_8_240]) ).

cnf(refute_8_242,plain,
    e11 = op1(e13,e13),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_8_228,refute_8_241]) ).

cnf(refute_8_243,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_8_244,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_8_242,refute_8_243]) ).

cnf(refute_8_245,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e13) != e11
    | e11 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).

cnf(refute_8_246,plain,
    ( op1(e13,e13) != e10
    | e11 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_8_244,refute_8_245]) ).

cnf(refute_8_247,plain,
    ( e11 = e10
    | op1(e11,e11) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_8_227,refute_8_246]) ).

cnf(refute_8_248,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_8_51]) ).

cnf(refute_8_249,plain,
    ( e11 != e10
    | e10 = e11 ),
    inference(subst,[],[refute_8_5:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).

cnf(refute_8_250,plain,
    e11 != e10,
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_8_249,refute_8_248]) ).

cnf(refute_8_251,plain,
    op1(e11,e11) = e10,
    inference(resolve,[$cnf( $equal(e11,e10) )],[refute_8_247,refute_8_250]) ).

cnf(refute_8_252,plain,
    h4(op1(e11,e11)) = h4(op1(e11,e11)),
    introduced(tautology,[refl,[$fot(h4(op1(e11,e11)))]]) ).

cnf(refute_8_253,plain,
    ( h4(op1(e11,e11)) != h4(op1(e11,e11))
    | op1(e11,e11) != e10
    | h4(op1(e11,e11)) = h4(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) ),[1,0],$fot(e10)]]) ).

cnf(refute_8_254,plain,
    ( op1(e11,e11) != e10
    | h4(op1(e11,e11)) = h4(e10) ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) )],[refute_8_252,refute_8_253]) ).

cnf(refute_8_255,plain,
    h4(op1(e11,e11)) = h4(e10),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_8_251,refute_8_254]) ).

cnf(refute_8_256,plain,
    ( h4(op1(e11,e11)) != e22
    | h4(op1(e11,e11)) != h4(e10)
    | h4(e10) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),e22) ),[0],$fot(h4(e10))]]) ).

cnf(refute_8_257,plain,
    ( h4(op1(e11,e11)) != e22
    | h4(e10) = e22 ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(e10)) )],[refute_8_255,refute_8_256]) ).

cnf(refute_8_258,plain,
    h4(e10) = e22,
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),e22) )],[refute_8_216,refute_8_257]) ).

cnf(refute_8_259,plain,
    ( h4(e10) != e22
    | op2(e21,e22) != e22
    | op2(e21,e22) = h4(e10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h4(e10)) ),[1],$fot(e22)]]) ).

cnf(refute_8_260,plain,
    ( op2(e21,e22) != e22
    | op2(e21,e22) = h4(e10) ),
    inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_8_258,refute_8_259]) ).

cnf(refute_8_261,plain,
    op2(e21,e22) != e22,
    inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e10)) )],[refute_8_260,refute_8_140]) ).

cnf(refute_8_262,plain,
    $false,
    inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_8_123,refute_8_261]) ).

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,
    ( ( 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_1,plain,
    ( op1(e13,e10) = e10
    | op1(e13,e10) = e11
    | op1(e13,e10) = e12
    | op1(e13,e10) = e13 ),
    inference(conjunct,[],[normalize_9_0]) ).

fof(normalize_9_2,plain,
    ( op1(e10,e10) != op1(e10,e11)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e10) != op1(e11,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e12) != op1(e13,e13) ),
    inference(canonicalize,[],[ax5]) ).

fof(normalize_9_3,plain,
    op1(e13,e10) != op1(e13,e12),
    inference(conjunct,[],[normalize_9_2]) ).

fof(normalize_9_4,plain,
    ( e10 = op1(op1(e12,e12),e12)
    & e11 = op1(op1(e12,e12),op1(e12,e12))
    & e13 = op1(e12,e12) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_9_5,plain,
    e10 = op1(op1(e12,e12),e12),
    inference(conjunct,[],[normalize_9_4]) ).

fof(normalize_9_6,plain,
    e13 = op1(e12,e12),
    inference(conjunct,[],[normalize_9_4]) ).

fof(normalize_9_7,plain,
    op1(e13,e10) != op1(e13,e13),
    inference(conjunct,[],[normalize_9_2]) ).

fof(normalize_9_8,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(conjunct,[],[normalize_9_4]) ).

fof(normalize_9_9,plain,
    op1(e10,e10) != op1(e13,e10),
    inference(conjunct,[],[normalize_9_2]) ).

fof(normalize_9_10,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_11,plain,
    ( h1(e10) = op2(op2(e20,e20),e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = e20
    & h1(e13) = op2(e20,e20) ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_9_12,plain,
    h1(e12) = e20,
    inference(conjunct,[],[normalize_9_11]) ).

fof(normalize_9_13,plain,
    ( h2(e10) = op2(op2(e21,e21),e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = e21
    & h2(e13) = op2(e21,e21) ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_9_14,plain,
    h2(e12) = e21,
    inference(conjunct,[],[normalize_9_13]) ).

fof(normalize_9_15,plain,
    ( h3(e10) = op2(op2(e22,e22),e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = e22
    & h3(e13) = op2(e22,e22) ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_9_16,plain,
    h3(e12) = e22,
    inference(conjunct,[],[normalize_9_15]) ).

fof(normalize_9_17,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_10,normalize_9_12,normalize_9_14,normalize_9_16]) ).

fof(normalize_9_18,plain,
    h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
    inference(conjunct,[],[normalize_9_17]) ).

fof(normalize_9_19,plain,
    h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
    inference(conjunct,[],[normalize_9_13]) ).

fof(normalize_9_20,plain,
    h2(e13) = op2(e21,e21),
    inference(conjunct,[],[normalize_9_13]) ).

fof(normalize_9_21,plain,
    ( h4(e10) = op2(op2(e23,e23),e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = e23
    & h4(e13) = op2(e23,e23) ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_9_22,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_9_21]) ).

fof(normalize_9_23,plain,
    ( e20 = op2(op2(e22,e22),e22)
    & e21 = op2(op2(e22,e22),op2(e22,e22))
    & e23 = op2(e22,e22) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_9_24,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(conjunct,[],[normalize_9_23]) ).

fof(normalize_9_25,plain,
    h4(e13) = op2(e23,e23),
    inference(conjunct,[],[normalize_9_21]) ).

fof(normalize_9_26,plain,
    e23 = op2(e22,e22),
    inference(conjunct,[],[normalize_9_23]) ).

fof(normalize_9_27,plain,
    ( ( ( op1(e10,e10) != e11
        & op1(e11,e11) = e10 )
      | ( op1(e10,e10) != e12
        & op1(e12,e12) = e10 )
      | ( op1(e10,e10) != e13
        & op1(e13,e13) = e10 ) )
    & ( ( op1(e11,e11) != e10
        & op1(e10,e10) = e11 )
      | ( op1(e11,e11) != e12
        & op1(e12,e12) = e11 )
      | ( op1(e11,e11) != e13
        & op1(e13,e13) = e11 ) )
    & ( ( op1(e12,e12) != e10
        & op1(e10,e10) = e12 )
      | ( op1(e12,e12) != e11
        & op1(e11,e11) = e12 )
      | ( op1(e12,e12) != e13
        & op1(e13,e13) = e12 ) )
    & ( ( op1(e13,e13) != e10
        & op1(e10,e10) = e13 )
      | ( op1(e13,e13) != e11
        & op1(e11,e11) = e13 )
      | ( op1(e13,e13) != e12
        & op1(e12,e12) = e13 ) ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_9_28,plain,
    ( ( op1(e12,e12) != e10
      & op1(e10,e10) = e12 )
    | ( op1(e12,e12) != e11
      & op1(e11,e11) = e12 )
    | ( op1(e12,e12) != e13
      & op1(e13,e13) = e12 ) ),
    inference(conjunct,[],[normalize_9_27]) ).

fof(normalize_9_29,plain,
    ( ( op1(e12,e12) != e10
      | op1(e12,e12) != e11
      | op1(e12,e12) != e13 )
    & ( op1(e12,e12) != e10
      | op1(e12,e12) != e11
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e10
      | op1(e12,e12) != e13
      | op1(e11,e11) = e12 )
    & ( op1(e12,e12) != e10
      | op1(e11,e11) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e12) != e13
      | op1(e10,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e10,e10) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e10,e10) = e12
      | op1(e11,e11) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e11) = e12
      | op1(e13,e13) = e12 ) ),
    inference(clausify,[],[normalize_9_28]) ).

fof(normalize_9_30,plain,
    ( op1(e12,e12) != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(conjunct,[],[normalize_9_29]) ).

fof(normalize_9_31,plain,
    h4(e12) = e23,
    inference(conjunct,[],[normalize_9_21]) ).

fof(normalize_9_32,plain,
    h1(e13) = op2(e20,e20),
    inference(conjunct,[],[normalize_9_11]) ).

fof(normalize_9_33,plain,
    ( ( ( op2(e20,e20) != e21
        & op2(e21,e21) = e20 )
      | ( op2(e20,e20) != e22
        & op2(e22,e22) = e20 )
      | ( op2(e20,e20) != e23
        & op2(e23,e23) = e20 ) )
    & ( ( op2(e21,e21) != e20
        & op2(e20,e20) = e21 )
      | ( op2(e21,e21) != e22
        & op2(e22,e22) = e21 )
      | ( op2(e21,e21) != e23
        & op2(e23,e23) = e21 ) )
    & ( ( op2(e22,e22) != e20
        & op2(e20,e20) = e22 )
      | ( op2(e22,e22) != e21
        & op2(e21,e21) = e22 )
      | ( op2(e22,e22) != e23
        & op2(e23,e23) = e22 ) )
    & ( ( op2(e23,e23) != e20
        & op2(e20,e20) = e23 )
      | ( op2(e23,e23) != e21
        & op2(e21,e21) = e23 )
      | ( op2(e23,e23) != e22
        & op2(e22,e22) = e23 ) ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_9_34,plain,
    ( ( op2(e20,e20) != e21
      & op2(e21,e21) = e20 )
    | ( op2(e20,e20) != e22
      & op2(e22,e22) = e20 )
    | ( op2(e20,e20) != e23
      & op2(e23,e23) = e20 ) ),
    inference(conjunct,[],[normalize_9_33]) ).

fof(normalize_9_35,plain,
    ( ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e20,e20) != e23 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e23
      | op2(e22,e22) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e20) != e23
      | op2(e21,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e21) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e21) = e20
      | op2(e22,e22) = e20 )
    & ( op2(e21,e21) = e20
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 ) ),
    inference(clausify,[],[normalize_9_34]) ).

fof(normalize_9_36,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(conjunct,[],[normalize_9_35]) ).

fof(normalize_9_37,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_9_38,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_9_37]) ).

fof(normalize_9_39,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_9_37]) ).

fof(normalize_9_40,plain,
    ( ( op2(e22,e22) != e20
      & op2(e20,e20) = e22 )
    | ( op2(e22,e22) != e21
      & op2(e21,e21) = e22 )
    | ( op2(e22,e22) != e23
      & op2(e23,e23) = e22 ) ),
    inference(conjunct,[],[normalize_9_33]) ).

fof(normalize_9_41,plain,
    ( ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e23
      | op2(e21,e21) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e22) != e23
      | op2(e20,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e20,e20) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e20,e20) = e22
      | op2(e21,e21) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 ) ),
    inference(clausify,[],[normalize_9_40]) ).

fof(normalize_9_42,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(conjunct,[],[normalize_9_41]) ).

fof(normalize_9_43,plain,
    e20 != e22,
    inference(conjunct,[],[normalize_9_37]) ).

fof(normalize_9_44,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_9_37]) ).

fof(normalize_9_45,plain,
    op1(e11,e10) != op1(e13,e10),
    inference(conjunct,[],[normalize_9_2]) ).

fof(normalize_9_46,plain,
    op1(e10,e13) != op1(e11,e13),
    inference(conjunct,[],[normalize_9_2]) ).

fof(normalize_9_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_9_48,plain,
    ( op1(e11,e10) = e13
    | op1(e11,e11) = e13
    | op1(e11,e12) = e13
    | op1(e11,e13) = e13 ),
    inference(conjunct,[],[normalize_9_47]) ).

fof(normalize_9_49,plain,
    op1(e11,e12) != op1(e12,e12),
    inference(conjunct,[],[normalize_9_2]) ).

fof(normalize_9_50,plain,
    ( ( op1(e10,e10) != e11
      & op1(e11,e11) = e10 )
    | ( op1(e10,e10) != e12
      & op1(e12,e12) = e10 )
    | ( op1(e10,e10) != e13
      & op1(e13,e13) = e10 ) ),
    inference(conjunct,[],[normalize_9_27]) ).

fof(normalize_9_51,plain,
    ( ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e10,e10) != e13 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e13
      | op1(e12,e12) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e10) != e13
      | op1(e11,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e11) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e11) = e10
      | op1(e12,e12) = e10 )
    & ( op1(e11,e11) = e10
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 ) ),
    inference(clausify,[],[normalize_9_50]) ).

fof(normalize_9_52,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(conjunct,[],[normalize_9_51]) ).

fof(normalize_9_53,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_9_54,plain,
    e10 != e13,
    inference(conjunct,[],[normalize_9_53]) ).

fof(normalize_9_55,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_9_53]) ).

fof(normalize_9_56,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(conjunct,[],[normalize_9_0]) ).

fof(normalize_9_57,plain,
    op1(e10,e13) != op1(e12,e13),
    inference(conjunct,[],[normalize_9_2]) ).

fof(normalize_9_58,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e11) = e10
    | op1(e12,e12) = e10
    | op1(e12,e13) = e10 ),
    inference(conjunct,[],[normalize_9_47]) ).

fof(normalize_9_59,plain,
    h4(op1(e12,e10)) = op2(h4(e12),h4(e10)),
    inference(conjunct,[],[normalize_9_17]) ).

fof(normalize_9_60,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(conjunct,[],[normalize_9_23]) ).

fof(normalize_9_61,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e10) = e11
    | op1(e12,e10) = e12
    | op1(e12,e10) = e13 ),
    inference(conjunct,[],[normalize_9_0]) ).

fof(normalize_9_62,plain,
    op1(e12,e10) != op1(e12,e12),
    inference(conjunct,[],[normalize_9_2]) ).

fof(normalize_9_63,plain,
    op1(e10,e10) != op1(e12,e10),
    inference(conjunct,[],[normalize_9_2]) ).

fof(normalize_9_64,plain,
    ( op1(e12,e11) = e10
    | op1(e12,e11) = e11
    | op1(e12,e11) = e12
    | op1(e12,e11) = e13 ),
    inference(conjunct,[],[normalize_9_0]) ).

fof(normalize_9_65,plain,
    op1(e12,e11) != op1(e12,e12),
    inference(conjunct,[],[normalize_9_2]) ).

fof(normalize_9_66,plain,
    op1(e11,e11) != op1(e12,e11),
    inference(conjunct,[],[normalize_9_2]) ).

fof(normalize_9_67,plain,
    op1(e12,e10) != op1(e12,e11),
    inference(conjunct,[],[normalize_9_2]) ).

fof(normalize_9_68,plain,
    e10 != e12,
    inference(conjunct,[],[normalize_9_53]) ).

fof(normalize_9_69,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(conjunct,[],[normalize_9_2]) ).

fof(normalize_9_70,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(conjunct,[],[normalize_9_2]) ).

cnf(refute_9_0,plain,
    ( op1(e13,e10) = e10
    | op1(e13,e10) = e11
    | op1(e13,e10) = e12
    | op1(e13,e10) = e13 ),
    inference(canonicalize,[],[normalize_9_1]) ).

cnf(refute_9_1,plain,
    op1(e13,e10) != op1(e13,e12),
    inference(canonicalize,[],[normalize_9_3]) ).

cnf(refute_9_2,plain,
    e10 = op1(op1(e12,e12),e12),
    inference(canonicalize,[],[normalize_9_5]) ).

cnf(refute_9_3,plain,
    e13 = op1(e12,e12),
    inference(canonicalize,[],[normalize_9_6]) ).

cnf(refute_9_4,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_9_5,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_9_6,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_9_4,refute_9_5]) ).

cnf(refute_9_7,plain,
    ( e13 != op1(e12,e12)
    | op1(e12,e12) = e13 ),
    inference(subst,[],[refute_9_6:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).

cnf(refute_9_8,plain,
    op1(e12,e12) = e13,
    inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_9_3,refute_9_7]) ).

cnf(refute_9_9,plain,
    op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
    introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).

cnf(refute_9_10,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
    | op1(op1(e12,e12),e12) = op1(e13,e12) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).

cnf(refute_9_11,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),e12) = op1(e13,e12) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_9_9,refute_9_10]) ).

cnf(refute_9_12,plain,
    op1(op1(e12,e12),e12) = op1(e13,e12),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_8,refute_9_11]) ).

cnf(refute_9_13,plain,
    ( e10 != op1(op1(e12,e12),e12)
    | op1(op1(e12,e12),e12) != op1(e13,e12)
    | e10 = op1(e13,e12) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(op1(e12,e12),e12))]]) ).

cnf(refute_9_14,plain,
    ( e10 != op1(op1(e12,e12),e12)
    | e10 = op1(e13,e12) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_9_12,refute_9_13]) ).

cnf(refute_9_15,plain,
    e10 = op1(e13,e12),
    inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),e12)) )],[refute_9_2,refute_9_14]) ).

cnf(refute_9_16,plain,
    ( e10 != op1(e13,e12)
    | op1(e13,e12) = e10 ),
    inference(subst,[],[refute_9_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).

cnf(refute_9_17,plain,
    op1(e13,e12) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_9_15,refute_9_16]) ).

cnf(refute_9_18,plain,
    ( op1(e13,e10) != e10
    | op1(e13,e12) != e10
    | op1(e13,e10) = op1(e13,e12) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e12)) ),[1],$fot(e10)]]) ).

cnf(refute_9_19,plain,
    ( op1(e13,e10) != e10
    | op1(e13,e10) = op1(e13,e12) ),
    inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_9_17,refute_9_18]) ).

cnf(refute_9_20,plain,
    op1(e13,e10) != e10,
    inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_9_19,refute_9_1]) ).

cnf(refute_9_21,plain,
    ( op1(e13,e10) = e11
    | op1(e13,e10) = e12
    | op1(e13,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_9_0,refute_9_20]) ).

cnf(refute_9_22,plain,
    op1(e13,e10) != op1(e13,e13),
    inference(canonicalize,[],[normalize_9_7]) ).

cnf(refute_9_23,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(canonicalize,[],[normalize_9_8]) ).

cnf(refute_9_24,plain,
    op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).

cnf(refute_9_25,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).

cnf(refute_9_26,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_9_24,refute_9_25]) ).

cnf(refute_9_27,plain,
    op1(e13,op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_8,refute_9_26]) ).

cnf(refute_9_28,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_9_29,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).

cnf(refute_9_30,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_9_28,refute_9_29]) ).

cnf(refute_9_31,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_8,refute_9_30]) ).

cnf(refute_9_32,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_9_33,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_9_6,refute_9_32]) ).

cnf(refute_9_34,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(subst,[],[refute_9_33:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).

cnf(refute_9_35,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_9_31,refute_9_34]) ).

cnf(refute_9_36,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_9_27,refute_9_35]) ).

cnf(refute_9_37,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
    | e11 = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_9_38,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | e11 = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_9_36,refute_9_37]) ).

cnf(refute_9_39,plain,
    e11 = op1(e13,e13),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_9_23,refute_9_38]) ).

cnf(refute_9_40,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_9_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_9_41,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_9_39,refute_9_40]) ).

cnf(refute_9_42,plain,
    ( op1(e13,e10) != e11
    | op1(e13,e13) != e11
    | op1(e13,e10) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e13)) ),[1],$fot(e11)]]) ).

cnf(refute_9_43,plain,
    ( op1(e13,e10) != e11
    | op1(e13,e10) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_9_41,refute_9_42]) ).

cnf(refute_9_44,plain,
    op1(e13,e10) != e11,
    inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e13)) )],[refute_9_43,refute_9_22]) ).

cnf(refute_9_45,plain,
    ( op1(e13,e10) = e12
    | op1(e13,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e13,e10),e11) )],[refute_9_21,refute_9_44]) ).

cnf(refute_9_46,plain,
    op1(e10,e10) != op1(e13,e10),
    inference(canonicalize,[],[normalize_9_9]) ).

cnf(refute_9_47,plain,
    h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
    inference(canonicalize,[],[normalize_9_18]) ).

cnf(refute_9_48,plain,
    h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
    inference(canonicalize,[],[normalize_9_19]) ).

cnf(refute_9_49,plain,
    h2(e13) = op2(e21,e21),
    inference(canonicalize,[],[normalize_9_20]) ).

cnf(refute_9_50,plain,
    ( h2(e13) != op2(e21,e21)
    | op2(e21,e21) = h2(e13) ),
    inference(subst,[],[refute_9_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_9_51,plain,
    op2(e21,e21) = h2(e13),
    inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_9_49,refute_9_50]) ).

cnf(refute_9_52,plain,
    op2(h2(e13),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
    introduced(tautology,[refl,[$fot(op2(h2(e13),op2(e21,e21)))]]) ).

cnf(refute_9_53,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(h2(e13),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
    | op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).

cnf(refute_9_54,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_9_52,refute_9_53]) ).

cnf(refute_9_55,plain,
    op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_51,refute_9_54]) ).

cnf(refute_9_56,plain,
    op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
    introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).

cnf(refute_9_57,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e13))]]) ).

cnf(refute_9_58,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_9_56,refute_9_57]) ).

cnf(refute_9_59,plain,
    op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_51,refute_9_58]) ).

cnf(refute_9_60,plain,
    ( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
    | op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    inference(subst,[],[refute_9_33:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e13),op2(e21,e21)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).

cnf(refute_9_61,plain,
    ( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_9_59,refute_9_60]) ).

cnf(refute_9_62,plain,
    op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_9_55,refute_9_61]) ).

cnf(refute_9_63,plain,
    ( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
    | op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),h2(e13))
    | h2(e11) = op2(h2(e13),h2(e13)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e13),h2(e13))) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).

cnf(refute_9_64,plain,
    ( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
    | h2(e11) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_9_62,refute_9_63]) ).

cnf(refute_9_65,plain,
    h2(e11) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(h2(e11),op2(op2(e21,e21),op2(e21,e21))) )],[refute_9_48,refute_9_64]) ).

cnf(refute_9_66,plain,
    ( h2(e11) != op2(h2(e13),h2(e13))
    | op2(h2(e13),h2(e13)) = h2(e11) ),
    inference(subst,[],[refute_9_6:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(h2(e13),h2(e13))))]]) ).

cnf(refute_9_67,plain,
    op2(h2(e13),h2(e13)) = h2(e11),
    inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_9_65,refute_9_66]) ).

cnf(refute_9_68,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_9_22]) ).

cnf(refute_9_69,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(canonicalize,[],[normalize_9_24]) ).

cnf(refute_9_70,plain,
    h4(e13) = op2(e23,e23),
    inference(canonicalize,[],[normalize_9_25]) ).

cnf(refute_9_71,plain,
    ( h4(e13) != op2(e23,e23)
    | op2(e23,e23) = h4(e13) ),
    inference(subst,[],[refute_9_6:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_9_72,plain,
    op2(e23,e23) = h4(e13),
    inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_9_70,refute_9_71]) ).

cnf(refute_9_73,plain,
    e23 = op2(e22,e22),
    inference(canonicalize,[],[normalize_9_26]) ).

cnf(refute_9_74,plain,
    ( e23 != op2(e22,e22)
    | op2(e22,e22) = e23 ),
    inference(subst,[],[refute_9_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_9_75,plain,
    op2(e22,e22) = e23,
    inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_9_73,refute_9_74]) ).

cnf(refute_9_76,plain,
    op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).

cnf(refute_9_77,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).

cnf(refute_9_78,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_9_76,refute_9_77]) ).

cnf(refute_9_79,plain,
    op2(e23,op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_75,refute_9_78]) ).

cnf(refute_9_80,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_9_81,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).

cnf(refute_9_82,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_9_80,refute_9_81]) ).

cnf(refute_9_83,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_75,refute_9_82]) ).

cnf(refute_9_84,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(subst,[],[refute_9_33:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).

cnf(refute_9_85,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_9_83,refute_9_84]) ).

cnf(refute_9_86,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_9_79,refute_9_85]) ).

cnf(refute_9_87,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(subst,[],[refute_9_33:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).

cnf(refute_9_88,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_9_86,refute_9_87]) ).

cnf(refute_9_89,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_9_72,refute_9_88]) ).

cnf(refute_9_90,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
    | e21 = h4(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_9_91,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | e21 = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_9_89,refute_9_90]) ).

cnf(refute_9_92,plain,
    e21 = h4(e13),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_9_69,refute_9_91]) ).

cnf(refute_9_93,plain,
    ( e21 != h4(e13)
    | h4(e13) = e21 ),
    inference(subst,[],[refute_9_6:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).

cnf(refute_9_94,plain,
    h4(e13) = e21,
    inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_9_92,refute_9_93]) ).

cnf(refute_9_95,plain,
    ( h4(e13) != e21
    | op2(e23,e23) != h4(e13)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_9_33:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).

cnf(refute_9_96,plain,
    ( h4(e13) != e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_9_72,refute_9_95]) ).

cnf(refute_9_97,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_9_94,refute_9_96]) ).

cnf(refute_9_98,plain,
    op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).

cnf(refute_9_99,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
    | op2(e23,e23) != e21
    | op2(e21,op2(e23,e23)) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).

cnf(refute_9_100,plain,
    ( op2(e23,e23) != e21
    | op2(e21,op2(e23,e23)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_9_98,refute_9_99]) ).

cnf(refute_9_101,plain,
    op2(e21,op2(e23,e23)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_97,refute_9_100]) ).

cnf(refute_9_102,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_103,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,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(e21)]]) ).

cnf(refute_9_104,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_9_102,refute_9_103]) ).

cnf(refute_9_105,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_9_97,refute_9_104]) ).

cnf(refute_9_106,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
    inference(subst,[],[refute_9_33:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).

cnf(refute_9_107,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_9_105,refute_9_106]) ).

cnf(refute_9_108,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_9_101,refute_9_107]) ).

cnf(refute_9_109,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
    inference(subst,[],[refute_9_33:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).

cnf(refute_9_110,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_9_108,refute_9_109]) ).

cnf(refute_9_111,plain,
    op2(op2(e23,e23),op2(e23,e23)) = h2(e13),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_51,refute_9_110]) ).

cnf(refute_9_112,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != h2(e13)
    | h4(e11) = h2(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h2(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_9_113,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | h4(e11) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e13)) )],[refute_9_111,refute_9_112]) ).

cnf(refute_9_114,plain,
    h4(e11) = h2(e13),
    inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_9_68,refute_9_113]) ).

cnf(refute_9_115,plain,
    op2(h2(e13),h4(e11)) = op2(h2(e13),h4(e11)),
    introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e11)))]]) ).

cnf(refute_9_116,plain,
    ( h4(e11) != h2(e13)
    | op2(h2(e13),h4(e11)) != op2(h2(e13),h4(e11))
    | op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h4(e11))) ),[1,1],$fot(h2(e13))]]) ).

cnf(refute_9_117,plain,
    ( h4(e11) != h2(e13)
    | op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h4(e11))) )],[refute_9_115,refute_9_116]) ).

cnf(refute_9_118,plain,
    op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_9_114,refute_9_117]) ).

cnf(refute_9_119,plain,
    op2(h4(e11),h4(e11)) = op2(h4(e11),h4(e11)),
    introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e11)))]]) ).

cnf(refute_9_120,plain,
    ( h4(e11) != h2(e13)
    | op2(h4(e11),h4(e11)) != op2(h4(e11),h4(e11))
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) ),[1,0],$fot(h2(e13))]]) ).

cnf(refute_9_121,plain,
    ( h4(e11) != h2(e13)
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) )],[refute_9_119,refute_9_120]) ).

cnf(refute_9_122,plain,
    op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)),
    inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_9_114,refute_9_121]) ).

cnf(refute_9_123,plain,
    ( op2(h2(e13),h4(e11)) != op2(h2(e13),h2(e13))
    | op2(h4(e11),h4(e11)) != op2(h2(e13),h4(e11))
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)) ),
    inference(subst,[],[refute_9_33:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(h2(e13),h4(e11)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).

cnf(refute_9_124,plain,
    ( op2(h2(e13),h4(e11)) != op2(h2(e13),h2(e13))
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h2(e13),h4(e11))) )],[refute_9_122,refute_9_123]) ).

cnf(refute_9_125,plain,
    op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h2(e13))) )],[refute_9_118,refute_9_124]) ).

cnf(refute_9_126,plain,
    ( op2(h2(e13),h2(e13)) != h2(e11)
    | op2(h4(e11),h4(e11)) != op2(h2(e13),h2(e13))
    | op2(h4(e11),h4(e11)) = h2(e11) ),
    inference(subst,[],[refute_9_33:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(h2(e13),h2(e13)))),bind(Z,$fot(h2(e11)))]]) ).

cnf(refute_9_127,plain,
    ( op2(h2(e13),h2(e13)) != h2(e11)
    | op2(h4(e11),h4(e11)) = h2(e11) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h2(e13),h2(e13))) )],[refute_9_125,refute_9_126]) ).

cnf(refute_9_128,plain,
    op2(h4(e11),h4(e11)) = h2(e11),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),h2(e11)) )],[refute_9_67,refute_9_127]) ).

cnf(refute_9_129,plain,
    ( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | op2(h4(e11),h4(e11)) != h2(e11)
    | h4(op1(e11,e11)) = h2(e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),h2(e11)) ),[0],$fot(op2(h4(e11),h4(e11)))]]) ).

cnf(refute_9_130,plain,
    ( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | h4(op1(e11,e11)) = h2(e11) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),h2(e11)) )],[refute_9_128,refute_9_129]) ).

cnf(refute_9_131,plain,
    h4(op1(e11,e11)) = h2(e11),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_9_47,refute_9_130]) ).

cnf(refute_9_132,plain,
    ( op1(e12,e12) != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(canonicalize,[],[normalize_9_30]) ).

cnf(refute_9_133,plain,
    ( e13 != e13
    | op1(e12,e12) != e13
    | op1(e12,e12) = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(e13)]]) ).

cnf(refute_9_134,plain,
    ( e13 != e13
    | op1(e12,e12) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_8,refute_9_133]) ).

cnf(refute_9_135,plain,
    ( e13 != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_134,refute_9_132]) ).

cnf(refute_9_136,plain,
    e13 = e13,
    introduced(tautology,[refl,[$fot(e13)]]) ).

cnf(refute_9_137,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(resolve,[$cnf( $equal(e13,e13) )],[refute_9_136,refute_9_135]) ).

cnf(refute_9_138,plain,
    ( h4(op1(e11,e11)) != h2(e11)
    | op1(e11,e11) != e12
    | h4(e12) = h2(e11) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) ),[0,0],$fot(e12)]]) ).

cnf(refute_9_139,plain,
    ( h4(op1(e11,e11)) != h2(e11)
    | h4(e12) = h2(e11)
    | op1(e10,e10) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_9_137,refute_9_138]) ).

cnf(refute_9_140,plain,
    ( h4(e12) = h2(e11)
    | op1(e10,e10) = e12 ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_9_131,refute_9_139]) ).

cnf(refute_9_141,plain,
    h4(e12) = e23,
    inference(canonicalize,[],[normalize_9_31]) ).

cnf(refute_9_142,plain,
    ( h4(e12) != e23
    | h4(e12) != h2(e11)
    | e23 = h2(e11) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e12),h2(e11)) ),[0],$fot(e23)]]) ).

cnf(refute_9_143,plain,
    ( h4(e12) != h2(e11)
    | e23 = h2(e11) ),
    inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_9_141,refute_9_142]) ).

cnf(refute_9_144,plain,
    ( e23 = h2(e11)
    | op1(e10,e10) = e12 ),
    inference(resolve,[$cnf( $equal(h4(e12),h2(e11)) )],[refute_9_140,refute_9_143]) ).

cnf(refute_9_145,plain,
    h1(e13) = op2(e20,e20),
    inference(canonicalize,[],[normalize_9_32]) ).

cnf(refute_9_146,plain,
    ( h1(e13) != op2(e20,e20)
    | op2(e20,e20) = h1(e13) ),
    inference(subst,[],[refute_9_6:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_9_147,plain,
    op2(e20,e20) = h1(e13),
    inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_9_145,refute_9_146]) ).

cnf(refute_9_148,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(canonicalize,[],[normalize_9_36]) ).

cnf(refute_9_149,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).

cnf(refute_9_150,plain,
    ( op2(e21,e21) != e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_51,refute_9_149]) ).

cnf(refute_9_151,plain,
    ( h2(e13) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_9_148,refute_9_150]) ).

cnf(refute_9_152,plain,
    ( op2(e22,e22) != e20
    | op2(e22,e22) != e23
    | e23 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).

cnf(refute_9_153,plain,
    ( op2(e22,e22) != e20
    | e23 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_75,refute_9_152]) ).

cnf(refute_9_154,plain,
    ( e23 = e20
    | h2(e13) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_9_151,refute_9_153]) ).

cnf(refute_9_155,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e23) != h4(e13)
    | h4(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(h4(e13))]]) ).

cnf(refute_9_156,plain,
    ( op2(e23,e23) != e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_9_72,refute_9_155]) ).

cnf(refute_9_157,plain,
    ( e23 = e20
    | h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_9_154,refute_9_156]) ).

cnf(refute_9_158,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_9_38]) ).

cnf(refute_9_159,plain,
    ( e23 != e20
    | e20 = e23 ),
    inference(subst,[],[refute_9_6:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).

cnf(refute_9_160,plain,
    e23 != e20,
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_9_159,refute_9_158]) ).

cnf(refute_9_161,plain,
    ( h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(e23,e20) )],[refute_9_157,refute_9_160]) ).

cnf(refute_9_162,plain,
    ( h4(e13) != e20
    | h4(e13) != e21
    | e21 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),e20) ),[0],$fot(e21)]]) ).

cnf(refute_9_163,plain,
    ( h4(e13) != e20
    | e21 = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_9_94,refute_9_162]) ).

cnf(refute_9_164,plain,
    ( e21 = e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_9_161,refute_9_163]) ).

cnf(refute_9_165,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_9_39]) ).

cnf(refute_9_166,plain,
    ( e21 != e20
    | e20 = e21 ),
    inference(subst,[],[refute_9_6:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).

cnf(refute_9_167,plain,
    e21 != e20,
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_9_166,refute_9_165]) ).

cnf(refute_9_168,plain,
    h2(e13) = e20,
    inference(resolve,[$cnf( $equal(e21,e20) )],[refute_9_164,refute_9_167]) ).

cnf(refute_9_169,plain,
    op2(e20,h2(e13)) = op2(e20,h2(e13)),
    introduced(tautology,[refl,[$fot(op2(e20,h2(e13)))]]) ).

cnf(refute_9_170,plain,
    ( h2(e13) != e20
    | op2(e20,h2(e13)) != op2(e20,h2(e13))
    | op2(e20,h2(e13)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,h2(e13))) ),[1,1],$fot(e20)]]) ).

cnf(refute_9_171,plain,
    ( h2(e13) != e20
    | op2(e20,h2(e13)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,h2(e13))) )],[refute_9_169,refute_9_170]) ).

cnf(refute_9_172,plain,
    op2(e20,h2(e13)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_9_168,refute_9_171]) ).

cnf(refute_9_173,plain,
    op2(h2(e13),h2(e13)) = op2(h2(e13),h2(e13)),
    introduced(tautology,[refl,[$fot(op2(h2(e13),h2(e13)))]]) ).

cnf(refute_9_174,plain,
    ( h2(e13) != e20
    | op2(h2(e13),h2(e13)) != op2(h2(e13),h2(e13))
    | op2(h2(e13),h2(e13)) = op2(e20,h2(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(h2(e13),h2(e13))) ),[1,0],$fot(e20)]]) ).

cnf(refute_9_175,plain,
    ( h2(e13) != e20
    | op2(h2(e13),h2(e13)) = op2(e20,h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(h2(e13),h2(e13))) )],[refute_9_173,refute_9_174]) ).

cnf(refute_9_176,plain,
    op2(h2(e13),h2(e13)) = op2(e20,h2(e13)),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_9_168,refute_9_175]) ).

cnf(refute_9_177,plain,
    ( op2(e20,h2(e13)) != op2(e20,e20)
    | op2(h2(e13),h2(e13)) != op2(e20,h2(e13))
    | op2(h2(e13),h2(e13)) = op2(e20,e20) ),
    inference(subst,[],[refute_9_33:[bind(X,$fot(op2(h2(e13),h2(e13)))),bind(Y,$fot(op2(e20,h2(e13)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_9_178,plain,
    ( op2(e20,h2(e13)) != op2(e20,e20)
    | op2(h2(e13),h2(e13)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(e20,h2(e13))) )],[refute_9_176,refute_9_177]) ).

cnf(refute_9_179,plain,
    op2(h2(e13),h2(e13)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,e20)) )],[refute_9_172,refute_9_178]) ).

cnf(refute_9_180,plain,
    ( op2(e20,e20) != h1(e13)
    | op2(h2(e13),h2(e13)) != op2(e20,e20)
    | op2(h2(e13),h2(e13)) = h1(e13) ),
    inference(subst,[],[refute_9_33:[bind(X,$fot(op2(h2(e13),h2(e13)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).

cnf(refute_9_181,plain,
    ( op2(e20,e20) != h1(e13)
    | op2(h2(e13),h2(e13)) = h1(e13) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(e20,e20)) )],[refute_9_179,refute_9_180]) ).

cnf(refute_9_182,plain,
    op2(h2(e13),h2(e13)) = h1(e13),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_9_147,refute_9_181]) ).

cnf(refute_9_183,plain,
    ( h2(e11) != op2(h2(e13),h2(e13))
    | op2(h2(e13),h2(e13)) != h1(e13)
    | h2(e11) = h1(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h1(e13)) ),[0],$fot(op2(h2(e13),h2(e13)))]]) ).

cnf(refute_9_184,plain,
    ( h2(e11) != op2(h2(e13),h2(e13))
    | h2(e11) = h1(e13) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),h1(e13)) )],[refute_9_182,refute_9_183]) ).

cnf(refute_9_185,plain,
    h2(e11) = h1(e13),
    inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_9_65,refute_9_184]) ).

cnf(refute_9_186,plain,
    ( e23 != h2(e11)
    | h2(e11) != h1(e13)
    | e23 = h1(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e23,h1(e13)) ),[0],$fot(h2(e11))]]) ).

cnf(refute_9_187,plain,
    ( e23 != h2(e11)
    | e23 = h1(e13) ),
    inference(resolve,[$cnf( $equal(h2(e11),h1(e13)) )],[refute_9_185,refute_9_186]) ).

cnf(refute_9_188,plain,
    ( e23 = h1(e13)
    | op1(e10,e10) = e12 ),
    inference(resolve,[$cnf( $equal(e23,h2(e11)) )],[refute_9_144,refute_9_187]) ).

cnf(refute_9_189,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(canonicalize,[],[normalize_9_42]) ).

cnf(refute_9_190,plain,
    ( e23 != e23
    | op2(e22,e22) != e23
    | op2(e22,e22) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(e23)]]) ).

cnf(refute_9_191,plain,
    ( e23 != e23
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_75,refute_9_190]) ).

cnf(refute_9_192,plain,
    ( e23 != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_191,refute_9_189]) ).

cnf(refute_9_193,plain,
    ( op2(e20,e20) != e22
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).

cnf(refute_9_194,plain,
    ( op2(e20,e20) != e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_9_147,refute_9_193]) ).

cnf(refute_9_195,plain,
    ( e23 != e23
    | h1(e13) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_9_192,refute_9_194]) ).

cnf(refute_9_196,plain,
    ( op2(e21,e21) != e22
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).

cnf(refute_9_197,plain,
    ( op2(e21,e21) != e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_51,refute_9_196]) ).

cnf(refute_9_198,plain,
    ( e23 != e23
    | h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_9_195,refute_9_197]) ).

cnf(refute_9_199,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_9_200,plain,
    ( h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_9_199,refute_9_198]) ).

cnf(refute_9_201,plain,
    ( h2(e13) != e20
    | h2(e13) != e22
    | e20 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[0],$fot(e20)]]) ).

cnf(refute_9_202,plain,
    ( h2(e13) != e22
    | e20 = e22 ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_9_168,refute_9_201]) ).

cnf(refute_9_203,plain,
    ( e20 = e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_9_200,refute_9_202]) ).

cnf(refute_9_204,plain,
    e20 != e22,
    inference(canonicalize,[],[normalize_9_43]) ).

cnf(refute_9_205,plain,
    h1(e13) = e22,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_9_203,refute_9_204]) ).

cnf(refute_9_206,plain,
    ( e23 != h1(e13)
    | h1(e13) != e22
    | e23 = e22 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e23,e22) ),[0],$fot(h1(e13))]]) ).

cnf(refute_9_207,plain,
    ( e23 != h1(e13)
    | e23 = e22 ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_9_205,refute_9_206]) ).

cnf(refute_9_208,plain,
    ( e23 = e22
    | op1(e10,e10) = e12 ),
    inference(resolve,[$cnf( $equal(e23,h1(e13)) )],[refute_9_188,refute_9_207]) ).

cnf(refute_9_209,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_9_44]) ).

cnf(refute_9_210,plain,
    ( e23 != e22
    | e22 = e23 ),
    inference(subst,[],[refute_9_6:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).

cnf(refute_9_211,plain,
    e23 != e22,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_9_210,refute_9_209]) ).

cnf(refute_9_212,plain,
    op1(e10,e10) = e12,
    inference(resolve,[$cnf( $equal(e23,e22) )],[refute_9_208,refute_9_211]) ).

cnf(refute_9_213,plain,
    ( e12 != op1(e13,e10)
    | op1(e10,e10) != e12
    | op1(e10,e10) = op1(e13,e10) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e12) ),[1],$fot(op1(e13,e10))]]) ).

cnf(refute_9_214,plain,
    ( e12 != op1(e13,e10)
    | op1(e10,e10) = op1(e13,e10) ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_9_212,refute_9_213]) ).

cnf(refute_9_215,plain,
    e12 != op1(e13,e10),
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e13,e10)) )],[refute_9_214,refute_9_46]) ).

cnf(refute_9_216,plain,
    ( op1(e13,e10) != e12
    | e12 = op1(e13,e10) ),
    inference(subst,[],[refute_9_6:[bind(X,$fot(op1(e13,e10))),bind(Y,$fot(e12))]]) ).

cnf(refute_9_217,plain,
    op1(e13,e10) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e13,e10)) )],[refute_9_216,refute_9_215]) ).

cnf(refute_9_218,plain,
    op1(e13,e10) = e13,
    inference(resolve,[$cnf( $equal(op1(e13,e10),e12) )],[refute_9_45,refute_9_217]) ).

cnf(refute_9_219,plain,
    op1(e11,e10) != op1(e13,e10),
    inference(canonicalize,[],[normalize_9_45]) ).

cnf(refute_9_220,plain,
    op1(e10,e13) != op1(e11,e13),
    inference(canonicalize,[],[normalize_9_46]) ).

cnf(refute_9_221,plain,
    ( op1(e11,e10) = e13
    | op1(e11,e11) = e13
    | op1(e11,e12) = e13
    | op1(e11,e13) = e13 ),
    inference(canonicalize,[],[normalize_9_48]) ).

cnf(refute_9_222,plain,
    op1(e11,e12) != op1(e12,e12),
    inference(canonicalize,[],[normalize_9_49]) ).

cnf(refute_9_223,plain,
    ( op1(e11,e12) != e13
    | op1(e12,e12) != e13
    | op1(e11,e12) = op1(e12,e12) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).

cnf(refute_9_224,plain,
    ( op1(e11,e12) != e13
    | op1(e11,e12) = op1(e12,e12) ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_8,refute_9_223]) ).

cnf(refute_9_225,plain,
    op1(e11,e12) != e13,
    inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,e12)) )],[refute_9_224,refute_9_222]) ).

cnf(refute_9_226,plain,
    ( op1(e11,e10) = e13
    | op1(e11,e11) = e13
    | op1(e11,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_9_221,refute_9_225]) ).

cnf(refute_9_227,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(canonicalize,[],[normalize_9_52]) ).

cnf(refute_9_228,plain,
    ( op1(e12,e12) != e10
    | op1(e12,e12) != e13
    | e13 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[0],$fot(e13)]]) ).

cnf(refute_9_229,plain,
    ( op1(e12,e12) != e10
    | e13 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_8,refute_9_228]) ).

cnf(refute_9_230,plain,
    ( e13 = e10
    | op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_9_227,refute_9_229]) ).

cnf(refute_9_231,plain,
    e10 != e13,
    inference(canonicalize,[],[normalize_9_54]) ).

cnf(refute_9_232,plain,
    ( e13 != e10
    | e10 = e13 ),
    inference(subst,[],[refute_9_6:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).

cnf(refute_9_233,plain,
    e13 != e10,
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_9_232,refute_9_231]) ).

cnf(refute_9_234,plain,
    ( op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(e13,e10) )],[refute_9_230,refute_9_233]) ).

cnf(refute_9_235,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e13) != e11
    | e11 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).

cnf(refute_9_236,plain,
    ( op1(e13,e13) != e10
    | e11 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_9_41,refute_9_235]) ).

cnf(refute_9_237,plain,
    ( e11 = e10
    | op1(e11,e11) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_9_234,refute_9_236]) ).

cnf(refute_9_238,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_9_55]) ).

cnf(refute_9_239,plain,
    ( e11 != e10
    | e10 = e11 ),
    inference(subst,[],[refute_9_6:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).

cnf(refute_9_240,plain,
    e11 != e10,
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_9_239,refute_9_238]) ).

cnf(refute_9_241,plain,
    op1(e11,e11) = e10,
    inference(resolve,[$cnf( $equal(e11,e10) )],[refute_9_237,refute_9_240]) ).

cnf(refute_9_242,plain,
    ( op1(e11,e11) != e10
    | op1(e11,e11) != e13
    | e10 = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e13) ),[0],$fot(e10)]]) ).

cnf(refute_9_243,plain,
    ( op1(e11,e11) != e13
    | e10 = e13 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_9_241,refute_9_242]) ).

cnf(refute_9_244,plain,
    ( e10 = e13
    | op1(e11,e10) = e13
    | op1(e11,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e13) )],[refute_9_226,refute_9_243]) ).

cnf(refute_9_245,plain,
    ( op1(e11,e10) = e13
    | op1(e11,e13) = e13 ),
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_9_244,refute_9_231]) ).

cnf(refute_9_246,plain,
    ( op1(e10,e13) != e13
    | op1(e11,e13) != e13
    | op1(e10,e13) = op1(e11,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e11,e13)) ),[1],$fot(e13)]]) ).

cnf(refute_9_247,plain,
    ( op1(e10,e13) != e13
    | op1(e10,e13) = op1(e11,e13)
    | op1(e11,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_9_245,refute_9_246]) ).

cnf(refute_9_248,plain,
    ( op1(e10,e13) != e13
    | op1(e11,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_9_247,refute_9_220]) ).

cnf(refute_9_249,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(canonicalize,[],[normalize_9_56]) ).

cnf(refute_9_250,plain,
    op1(e10,e13) != op1(e12,e13),
    inference(canonicalize,[],[normalize_9_57]) ).

cnf(refute_9_251,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e11) = e10
    | op1(e12,e12) = e10
    | op1(e12,e13) = e10 ),
    inference(canonicalize,[],[normalize_9_58]) ).

cnf(refute_9_252,plain,
    ( e13 = e10
    | op1(e12,e10) = e10
    | op1(e12,e11) = e10
    | op1(e12,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_9_251,refute_9_229]) ).

cnf(refute_9_253,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e11) = e10
    | op1(e12,e13) = e10 ),
    inference(resolve,[$cnf( $equal(e13,e10) )],[refute_9_252,refute_9_233]) ).

cnf(refute_9_254,plain,
    h4(op1(e12,e10)) = op2(h4(e12),h4(e10)),
    inference(canonicalize,[],[normalize_9_59]) ).

cnf(refute_9_255,plain,
    op2(h4(e12),h4(e10)) = op2(h4(e12),h4(e10)),
    introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e10)))]]) ).

cnf(refute_9_256,plain,
    ( h4(e12) != e23
    | op2(h4(e12),h4(e10)) != op2(h4(e12),h4(e10))
    | op2(h4(e12),h4(e10)) = op2(e23,h4(e10)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) ),[1,0],$fot(e23)]]) ).

cnf(refute_9_257,plain,
    ( h4(e12) != e23
    | op2(h4(e12),h4(e10)) = op2(e23,h4(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) )],[refute_9_255,refute_9_256]) ).

cnf(refute_9_258,plain,
    op2(h4(e12),h4(e10)) = op2(e23,h4(e10)),
    inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_9_141,refute_9_257]) ).

cnf(refute_9_259,plain,
    ( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | op2(h4(e12),h4(e10)) != op2(e23,h4(e10))
    | h4(op1(e12,e10)) = op2(e23,h4(e10)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),op2(e23,h4(e10))) ),[0],$fot(op2(h4(e12),h4(e10)))]]) ).

cnf(refute_9_260,plain,
    ( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | h4(op1(e12,e10)) = op2(e23,h4(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(e23,h4(e10))) )],[refute_9_258,refute_9_259]) ).

cnf(refute_9_261,plain,
    h4(op1(e12,e10)) = op2(e23,h4(e10)),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(h4(e12),h4(e10))) )],[refute_9_254,refute_9_260]) ).

cnf(refute_9_262,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(canonicalize,[],[normalize_9_60]) ).

cnf(refute_9_263,plain,
    op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).

cnf(refute_9_264,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).

cnf(refute_9_265,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),e22) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_9_263,refute_9_264]) ).

cnf(refute_9_266,plain,
    op2(op2(e22,e22),e22) = op2(e23,e22),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_75,refute_9_265]) ).

cnf(refute_9_267,plain,
    ( e20 != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) != op2(e23,e22)
    | e20 = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).

cnf(refute_9_268,plain,
    ( e20 != op2(op2(e22,e22),e22)
    | e20 = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_9_266,refute_9_267]) ).

cnf(refute_9_269,plain,
    e20 = op2(e23,e22),
    inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_9_262,refute_9_268]) ).

cnf(refute_9_270,plain,
    ( e20 != op2(e23,e22)
    | op2(e23,e22) = e20 ),
    inference(subst,[],[refute_9_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).

cnf(refute_9_271,plain,
    op2(e23,e22) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_9_269,refute_9_270]) ).

cnf(refute_9_272,plain,
    ( h2(e11) != h1(e13)
    | h4(op1(e11,e11)) != h2(e11)
    | h4(op1(e11,e11)) = h1(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) ),[1],$fot(h1(e13))]]) ).

cnf(refute_9_273,plain,
    ( h4(op1(e11,e11)) != h2(e11)
    | h4(op1(e11,e11)) = h1(e13) ),
    inference(resolve,[$cnf( $equal(h2(e11),h1(e13)) )],[refute_9_185,refute_9_272]) ).

cnf(refute_9_274,plain,
    h4(op1(e11,e11)) = h1(e13),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_9_131,refute_9_273]) ).

cnf(refute_9_275,plain,
    ( h1(e13) != e22
    | h4(op1(e11,e11)) != h1(e13)
    | h4(op1(e11,e11)) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h1(e13)) ),[1],$fot(e22)]]) ).

cnf(refute_9_276,plain,
    ( h4(op1(e11,e11)) != h1(e13)
    | h4(op1(e11,e11)) = e22 ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_9_205,refute_9_275]) ).

cnf(refute_9_277,plain,
    h4(op1(e11,e11)) = e22,
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h1(e13)) )],[refute_9_274,refute_9_276]) ).

cnf(refute_9_278,plain,
    h4(op1(e11,e11)) = h4(op1(e11,e11)),
    introduced(tautology,[refl,[$fot(h4(op1(e11,e11)))]]) ).

cnf(refute_9_279,plain,
    ( h4(op1(e11,e11)) != h4(op1(e11,e11))
    | op1(e11,e11) != e10
    | h4(op1(e11,e11)) = h4(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) ),[1,0],$fot(e10)]]) ).

cnf(refute_9_280,plain,
    ( op1(e11,e11) != e10
    | h4(op1(e11,e11)) = h4(e10) ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) )],[refute_9_278,refute_9_279]) ).

cnf(refute_9_281,plain,
    h4(op1(e11,e11)) = h4(e10),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_9_241,refute_9_280]) ).

cnf(refute_9_282,plain,
    ( h4(op1(e11,e11)) != e22
    | h4(op1(e11,e11)) != h4(e10)
    | h4(e10) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),e22) ),[0],$fot(h4(e10))]]) ).

cnf(refute_9_283,plain,
    ( h4(op1(e11,e11)) != e22
    | h4(e10) = e22 ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(e10)) )],[refute_9_281,refute_9_282]) ).

cnf(refute_9_284,plain,
    h4(e10) = e22,
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),e22) )],[refute_9_277,refute_9_283]) ).

cnf(refute_9_285,plain,
    op2(e23,h4(e10)) = op2(e23,h4(e10)),
    introduced(tautology,[refl,[$fot(op2(e23,h4(e10)))]]) ).

cnf(refute_9_286,plain,
    ( h4(e10) != e22
    | op2(e23,h4(e10)) != op2(e23,h4(e10))
    | op2(e23,h4(e10)) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) ),[1,1],$fot(e22)]]) ).

cnf(refute_9_287,plain,
    ( h4(e10) != e22
    | op2(e23,h4(e10)) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) )],[refute_9_285,refute_9_286]) ).

cnf(refute_9_288,plain,
    op2(e23,h4(e10)) = op2(e23,e22),
    inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_9_284,refute_9_287]) ).

cnf(refute_9_289,plain,
    ( op2(e23,e22) != e20
    | op2(e23,h4(e10)) != op2(e23,e22)
    | op2(e23,h4(e10)) = e20 ),
    inference(subst,[],[refute_9_33:[bind(X,$fot(op2(e23,h4(e10)))),bind(Y,$fot(op2(e23,e22))),bind(Z,$fot(e20))]]) ).

cnf(refute_9_290,plain,
    ( op2(e23,e22) != e20
    | op2(e23,h4(e10)) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,e22)) )],[refute_9_288,refute_9_289]) ).

cnf(refute_9_291,plain,
    op2(e23,h4(e10)) = e20,
    inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_9_271,refute_9_290]) ).

cnf(refute_9_292,plain,
    ( h4(op1(e12,e10)) != op2(e23,h4(e10))
    | op2(e23,h4(e10)) != e20
    | h4(op1(e12,e10)) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),e20) ),[0],$fot(op2(e23,h4(e10)))]]) ).

cnf(refute_9_293,plain,
    ( h4(op1(e12,e10)) != op2(e23,h4(e10))
    | h4(op1(e12,e10)) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),e20) )],[refute_9_291,refute_9_292]) ).

cnf(refute_9_294,plain,
    h4(op1(e12,e10)) = e20,
    inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e23,h4(e10))) )],[refute_9_261,refute_9_293]) ).

cnf(refute_9_295,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e10) = e11
    | op1(e12,e10) = e12
    | op1(e12,e10) = e13 ),
    inference(canonicalize,[],[normalize_9_61]) ).

cnf(refute_9_296,plain,
    op1(e12,e10) != op1(e12,e12),
    inference(canonicalize,[],[normalize_9_62]) ).

cnf(refute_9_297,plain,
    ( op1(e12,e10) != e13
    | op1(e12,e12) != e13
    | op1(e12,e10) = op1(e12,e12) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e12)) ),[1],$fot(e13)]]) ).

cnf(refute_9_298,plain,
    ( op1(e12,e10) != e13
    | op1(e12,e10) = op1(e12,e12) ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_8,refute_9_297]) ).

cnf(refute_9_299,plain,
    op1(e12,e10) != e13,
    inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e12)) )],[refute_9_298,refute_9_296]) ).

cnf(refute_9_300,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e10) = e11
    | op1(e12,e10) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_9_295,refute_9_299]) ).

cnf(refute_9_301,plain,
    op1(e10,e10) != op1(e12,e10),
    inference(canonicalize,[],[normalize_9_63]) ).

cnf(refute_9_302,plain,
    ( e12 != op1(e12,e10)
    | op1(e10,e10) != e12
    | op1(e10,e10) = op1(e12,e10) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e12) ),[1],$fot(op1(e12,e10))]]) ).

cnf(refute_9_303,plain,
    ( e12 != op1(e12,e10)
    | op1(e10,e10) = op1(e12,e10) ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_9_212,refute_9_302]) ).

cnf(refute_9_304,plain,
    e12 != op1(e12,e10),
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e12,e10)) )],[refute_9_303,refute_9_301]) ).

cnf(refute_9_305,plain,
    ( op1(e12,e10) != e12
    | e12 = op1(e12,e10) ),
    inference(subst,[],[refute_9_6:[bind(X,$fot(op1(e12,e10))),bind(Y,$fot(e12))]]) ).

cnf(refute_9_306,plain,
    op1(e12,e10) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e12,e10)) )],[refute_9_305,refute_9_304]) ).

cnf(refute_9_307,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e10) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_9_300,refute_9_306]) ).

cnf(refute_9_308,plain,
    ( h4(op1(e12,e10)) != e20
    | op1(e12,e10) != e10
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e10)),e20) ),[0,0],$fot(e10)]]) ).

cnf(refute_9_309,plain,
    ( h4(op1(e12,e10)) != e20
    | h4(e10) = e20
    | op1(e12,e10) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_9_307,refute_9_308]) ).

cnf(refute_9_310,plain,
    ( h4(e10) = e20
    | op1(e12,e10) = e11 ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),e20) )],[refute_9_294,refute_9_309]) ).

cnf(refute_9_311,plain,
    ( h4(e10) != e20
    | h4(e10) != e22
    | e22 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[0],$fot(e22)]]) ).

cnf(refute_9_312,plain,
    ( h4(e10) != e20
    | e22 = e20 ),
    inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_9_284,refute_9_311]) ).

cnf(refute_9_313,plain,
    ( e22 = e20
    | op1(e12,e10) = e11 ),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_9_310,refute_9_312]) ).

cnf(refute_9_314,plain,
    ( e22 != e20
    | e20 = e22 ),
    inference(subst,[],[refute_9_6:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).

cnf(refute_9_315,plain,
    e22 != e20,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_9_314,refute_9_204]) ).

cnf(refute_9_316,plain,
    op1(e12,e10) = e11,
    inference(resolve,[$cnf( $equal(e22,e20) )],[refute_9_313,refute_9_315]) ).

cnf(refute_9_317,plain,
    ( op1(e12,e10) != e10
    | op1(e12,e10) != e11
    | e11 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e10) ),[0],$fot(e11)]]) ).

cnf(refute_9_318,plain,
    ( op1(e12,e10) != e10
    | e11 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_9_316,refute_9_317]) ).

cnf(refute_9_319,plain,
    ( e11 = e10
    | op1(e12,e11) = e10
    | op1(e12,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_9_253,refute_9_318]) ).

cnf(refute_9_320,plain,
    ( op1(e12,e11) = e10
    | op1(e12,e11) = e11
    | op1(e12,e11) = e12
    | op1(e12,e11) = e13 ),
    inference(canonicalize,[],[normalize_9_64]) ).

cnf(refute_9_321,plain,
    op1(e12,e11) != op1(e12,e12),
    inference(canonicalize,[],[normalize_9_65]) ).

cnf(refute_9_322,plain,
    ( op1(e12,e11) != e13
    | op1(e12,e12) != e13
    | op1(e12,e11) = op1(e12,e12) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e12)) ),[1],$fot(e13)]]) ).

cnf(refute_9_323,plain,
    ( op1(e12,e11) != e13
    | op1(e12,e11) = op1(e12,e12) ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_8,refute_9_322]) ).

cnf(refute_9_324,plain,
    op1(e12,e11) != e13,
    inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e12)) )],[refute_9_323,refute_9_321]) ).

cnf(refute_9_325,plain,
    ( op1(e12,e11) = e10
    | op1(e12,e11) = e11
    | op1(e12,e11) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_9_320,refute_9_324]) ).

cnf(refute_9_326,plain,
    op1(e11,e11) != op1(e12,e11),
    inference(canonicalize,[],[normalize_9_66]) ).

cnf(refute_9_327,plain,
    ( e10 != op1(e12,e11)
    | op1(e11,e11) != e10
    | op1(e11,e11) = op1(e12,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e10) ),[1],$fot(op1(e12,e11))]]) ).

cnf(refute_9_328,plain,
    ( e10 != op1(e12,e11)
    | op1(e11,e11) = op1(e12,e11) ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_9_241,refute_9_327]) ).

cnf(refute_9_329,plain,
    e10 != op1(e12,e11),
    inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e12,e11)) )],[refute_9_328,refute_9_326]) ).

cnf(refute_9_330,plain,
    ( op1(e12,e11) != e10
    | e10 = op1(e12,e11) ),
    inference(subst,[],[refute_9_6:[bind(X,$fot(op1(e12,e11))),bind(Y,$fot(e10))]]) ).

cnf(refute_9_331,plain,
    op1(e12,e11) != e10,
    inference(resolve,[$cnf( $equal(e10,op1(e12,e11)) )],[refute_9_330,refute_9_329]) ).

cnf(refute_9_332,plain,
    ( op1(e12,e11) = e11
    | op1(e12,e11) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_9_325,refute_9_331]) ).

cnf(refute_9_333,plain,
    op1(e12,e10) != op1(e12,e11),
    inference(canonicalize,[],[normalize_9_67]) ).

cnf(refute_9_334,plain,
    ( e11 != op1(e12,e11)
    | op1(e12,e10) != e11
    | op1(e12,e10) = op1(e12,e11) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e11) ),[1],$fot(op1(e12,e11))]]) ).

cnf(refute_9_335,plain,
    ( e11 != op1(e12,e11)
    | op1(e12,e10) = op1(e12,e11) ),
    inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_9_316,refute_9_334]) ).

cnf(refute_9_336,plain,
    e11 != op1(e12,e11),
    inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e11)) )],[refute_9_335,refute_9_333]) ).

cnf(refute_9_337,plain,
    ( op1(e12,e11) != e11
    | e11 = op1(e12,e11) ),
    inference(subst,[],[refute_9_6:[bind(X,$fot(op1(e12,e11))),bind(Y,$fot(e11))]]) ).

cnf(refute_9_338,plain,
    op1(e12,e11) != e11,
    inference(resolve,[$cnf( $equal(e11,op1(e12,e11)) )],[refute_9_337,refute_9_336]) ).

cnf(refute_9_339,plain,
    op1(e12,e11) = e12,
    inference(resolve,[$cnf( $equal(op1(e12,e11),e11) )],[refute_9_332,refute_9_338]) ).

cnf(refute_9_340,plain,
    ( op1(e12,e11) != e10
    | op1(e12,e11) != e12
    | e12 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e10) ),[0],$fot(e12)]]) ).

cnf(refute_9_341,plain,
    ( op1(e12,e11) != e10
    | e12 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e12) )],[refute_9_339,refute_9_340]) ).

cnf(refute_9_342,plain,
    ( e11 = e10
    | e12 = e10
    | op1(e12,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_9_319,refute_9_341]) ).

cnf(refute_9_343,plain,
    ( e12 = e10
    | op1(e12,e13) = e10 ),
    inference(resolve,[$cnf( $equal(e11,e10) )],[refute_9_342,refute_9_240]) ).

cnf(refute_9_344,plain,
    e10 != e12,
    inference(canonicalize,[],[normalize_9_68]) ).

cnf(refute_9_345,plain,
    ( e12 != e10
    | e10 = e12 ),
    inference(subst,[],[refute_9_6:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).

cnf(refute_9_346,plain,
    e12 != e10,
    inference(resolve,[$cnf( $equal(e10,e12) )],[refute_9_345,refute_9_344]) ).

cnf(refute_9_347,plain,
    op1(e12,e13) = e10,
    inference(resolve,[$cnf( $equal(e12,e10) )],[refute_9_343,refute_9_346]) ).

cnf(refute_9_348,plain,
    ( op1(e10,e13) != e10
    | op1(e12,e13) != e10
    | op1(e10,e13) = op1(e12,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e12,e13)) ),[1],$fot(e10)]]) ).

cnf(refute_9_349,plain,
    ( op1(e10,e13) != e10
    | op1(e10,e13) = op1(e12,e13) ),
    inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_9_347,refute_9_348]) ).

cnf(refute_9_350,plain,
    op1(e10,e13) != e10,
    inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_9_349,refute_9_250]) ).

cnf(refute_9_351,plain,
    ( op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_9_249,refute_9_350]) ).

cnf(refute_9_352,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(canonicalize,[],[normalize_9_69]) ).

cnf(refute_9_353,plain,
    ( op1(e10,e13) != e11
    | op1(e13,e13) != e11
    | op1(e10,e13) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e11)]]) ).

cnf(refute_9_354,plain,
    ( op1(e10,e13) != e11
    | op1(e10,e13) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_9_41,refute_9_353]) ).

cnf(refute_9_355,plain,
    op1(e10,e13) != e11,
    inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_9_354,refute_9_352]) ).

cnf(refute_9_356,plain,
    ( op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_9_351,refute_9_355]) ).

cnf(refute_9_357,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(canonicalize,[],[normalize_9_70]) ).

cnf(refute_9_358,plain,
    ( e12 != op1(e10,e13)
    | op1(e10,e10) != e12
    | op1(e10,e10) = op1(e10,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e12) ),[1],$fot(op1(e10,e13))]]) ).

cnf(refute_9_359,plain,
    ( e12 != op1(e10,e13)
    | op1(e10,e10) = op1(e10,e13) ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_9_212,refute_9_358]) ).

cnf(refute_9_360,plain,
    e12 != op1(e10,e13),
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e13)) )],[refute_9_359,refute_9_357]) ).

cnf(refute_9_361,plain,
    ( op1(e10,e13) != e12
    | e12 = op1(e10,e13) ),
    inference(subst,[],[refute_9_6:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(e12))]]) ).

cnf(refute_9_362,plain,
    op1(e10,e13) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e10,e13)) )],[refute_9_361,refute_9_360]) ).

cnf(refute_9_363,plain,
    op1(e10,e13) = e13,
    inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_9_356,refute_9_362]) ).

cnf(refute_9_364,plain,
    ( e13 != e13
    | op1(e10,e13) != e13
    | op1(e10,e13) = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e13) ),[0,1],$fot(e13)]]) ).

cnf(refute_9_365,plain,
    ( e13 != e13
    | op1(e10,e13) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_9_363,refute_9_364]) ).

cnf(refute_9_366,plain,
    ( e13 != e13
    | op1(e11,e10) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_9_365,refute_9_248]) ).

cnf(refute_9_367,plain,
    op1(e11,e10) = e13,
    inference(resolve,[$cnf( $equal(e13,e13) )],[refute_9_136,refute_9_366]) ).

cnf(refute_9_368,plain,
    ( e13 != op1(e13,e10)
    | op1(e11,e10) != e13
    | op1(e11,e10) = op1(e13,e10) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),e13) ),[1],$fot(op1(e13,e10))]]) ).

cnf(refute_9_369,plain,
    ( e13 != op1(e13,e10)
    | op1(e11,e10) = op1(e13,e10) ),
    inference(resolve,[$cnf( $equal(op1(e11,e10),e13) )],[refute_9_367,refute_9_368]) ).

cnf(refute_9_370,plain,
    e13 != op1(e13,e10),
    inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e13,e10)) )],[refute_9_369,refute_9_219]) ).

cnf(refute_9_371,plain,
    ( op1(e13,e10) != e13
    | e13 = op1(e13,e10) ),
    inference(subst,[],[refute_9_6:[bind(X,$fot(op1(e13,e10))),bind(Y,$fot(e13))]]) ).

cnf(refute_9_372,plain,
    op1(e13,e10) != e13,
    inference(resolve,[$cnf( $equal(e13,op1(e13,e10)) )],[refute_9_371,refute_9_370]) ).

cnf(refute_9_373,plain,
    $false,
    inference(resolve,[$cnf( $equal(op1(e13,e10),e13) )],[refute_9_218,refute_9_372]) ).

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

fof(normalize_10_2,plain,
    h1(e12) = e20,
    inference(conjunct,[],[normalize_10_1]) ).

fof(normalize_10_3,plain,
    ( h2(e10) = op2(op2(e21,e21),e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = e21
    & h2(e13) = op2(e21,e21) ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_10_4,plain,
    h2(e12) = e21,
    inference(conjunct,[],[normalize_10_3]) ).

fof(normalize_10_5,plain,
    ( h3(e10) = op2(op2(e22,e22),e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = e22
    & h3(e13) = op2(e22,e22) ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_10_6,plain,
    h3(e12) = e22,
    inference(conjunct,[],[normalize_10_5]) ).

fof(normalize_10_7,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_0,normalize_10_2,normalize_10_4,normalize_10_6]) ).

fof(normalize_10_8,plain,
    h4(op1(e12,e12)) != op2(h4(e12),h4(e12)),
    inference(conjunct,[],[normalize_10_7]) ).

fof(normalize_10_9,plain,
    ( e20 = op2(op2(e22,e22),e22)
    & e21 = op2(op2(e22,e22),op2(e22,e22))
    & e23 = op2(e22,e22) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_10_10,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(conjunct,[],[normalize_10_9]) ).

fof(normalize_10_11,plain,
    ( h4(e10) = op2(op2(e23,e23),e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = e23
    & h4(e13) = op2(e23,e23) ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_10_12,plain,
    h4(e13) = op2(e23,e23),
    inference(conjunct,[],[normalize_10_11]) ).

fof(normalize_10_13,plain,
    e23 = op2(e22,e22),
    inference(conjunct,[],[normalize_10_9]) ).

fof(normalize_10_14,plain,
    ( e10 = op1(op1(e12,e12),e12)
    & e11 = op1(op1(e12,e12),op1(e12,e12))
    & e13 = op1(e12,e12) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_10_15,plain,
    e13 = op1(e12,e12),
    inference(conjunct,[],[normalize_10_14]) ).

fof(normalize_10_16,plain,
    h4(e12) = e23,
    inference(conjunct,[],[normalize_10_11]) ).

cnf(refute_10_0,plain,
    h4(op1(e12,e12)) != op2(h4(e12),h4(e12)),
    inference(canonicalize,[],[normalize_10_8]) ).

cnf(refute_10_1,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(canonicalize,[],[normalize_10_10]) ).

cnf(refute_10_2,plain,
    h4(e13) = op2(e23,e23),
    inference(canonicalize,[],[normalize_10_12]) ).

cnf(refute_10_3,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_10_4,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_10_5,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_10_3,refute_10_4]) ).

cnf(refute_10_6,plain,
    ( h4(e13) != op2(e23,e23)
    | op2(e23,e23) = h4(e13) ),
    inference(subst,[],[refute_10_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_10_7,plain,
    op2(e23,e23) = h4(e13),
    inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_10_2,refute_10_6]) ).

cnf(refute_10_8,plain,
    e23 = op2(e22,e22),
    inference(canonicalize,[],[normalize_10_13]) ).

cnf(refute_10_9,plain,
    ( e23 != op2(e22,e22)
    | op2(e22,e22) = e23 ),
    inference(subst,[],[refute_10_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_10_10,plain,
    op2(e22,e22) = e23,
    inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_10_8,refute_10_9]) ).

cnf(refute_10_11,plain,
    op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).

cnf(refute_10_12,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).

cnf(refute_10_13,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_10_11,refute_10_12]) ).

cnf(refute_10_14,plain,
    op2(e23,op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_10_10,refute_10_13]) ).

cnf(refute_10_15,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_10_16,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).

cnf(refute_10_17,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_10_15,refute_10_16]) ).

cnf(refute_10_18,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_10_10,refute_10_17]) ).

cnf(refute_10_19,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_10_20,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_10_5,refute_10_19]) ).

cnf(refute_10_21,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(subst,[],[refute_10_20:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).

cnf(refute_10_22,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_10_18,refute_10_21]) ).

cnf(refute_10_23,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_10_14,refute_10_22]) ).

cnf(refute_10_24,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(subst,[],[refute_10_20:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).

cnf(refute_10_25,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_10_23,refute_10_24]) ).

cnf(refute_10_26,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_10_7,refute_10_25]) ).

cnf(refute_10_27,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
    | e21 = h4(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_10_28,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | e21 = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_10_26,refute_10_27]) ).

cnf(refute_10_29,plain,
    e21 = h4(e13),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_10_1,refute_10_28]) ).

cnf(refute_10_30,plain,
    ( e21 != h4(e13)
    | h4(e13) = e21 ),
    inference(subst,[],[refute_10_5:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).

cnf(refute_10_31,plain,
    h4(e13) = e21,
    inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_10_29,refute_10_30]) ).

cnf(refute_10_32,plain,
    e13 = op1(e12,e12),
    inference(canonicalize,[],[normalize_10_15]) ).

cnf(refute_10_33,plain,
    ( e13 != op1(e12,e12)
    | op1(e12,e12) = e13 ),
    inference(subst,[],[refute_10_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).

cnf(refute_10_34,plain,
    op1(e12,e12) = e13,
    inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_10_32,refute_10_33]) ).

cnf(refute_10_35,plain,
    h4(op1(e12,e12)) = h4(op1(e12,e12)),
    introduced(tautology,[refl,[$fot(h4(op1(e12,e12)))]]) ).

cnf(refute_10_36,plain,
    ( h4(op1(e12,e12)) != h4(op1(e12,e12))
    | op1(e12,e12) != e13
    | h4(op1(e12,e12)) = h4(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e12)),h4(op1(e12,e12))) ),[1,0],$fot(e13)]]) ).

cnf(refute_10_37,plain,
    ( op1(e12,e12) != e13
    | h4(op1(e12,e12)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h4(op1(e12,e12))) )],[refute_10_35,refute_10_36]) ).

cnf(refute_10_38,plain,
    h4(op1(e12,e12)) = h4(e13),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_10_34,refute_10_37]) ).

cnf(refute_10_39,plain,
    ( h4(e13) != e21
    | h4(op1(e12,e12)) != h4(e13)
    | h4(op1(e12,e12)) = e21 ),
    inference(subst,[],[refute_10_20:[bind(X,$fot(h4(op1(e12,e12)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).

cnf(refute_10_40,plain,
    ( h4(e13) != e21
    | h4(op1(e12,e12)) = e21 ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h4(e13)) )],[refute_10_38,refute_10_39]) ).

cnf(refute_10_41,plain,
    h4(op1(e12,e12)) = e21,
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_10_31,refute_10_40]) ).

cnf(refute_10_42,plain,
    ( e21 != op2(h4(e12),h4(e12))
    | h4(op1(e12,e12)) != e21
    | h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e12)),e21) ),[1],$fot(op2(h4(e12),h4(e12)))]]) ).

cnf(refute_10_43,plain,
    ( e21 != op2(h4(e12),h4(e12))
    | h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),e21) )],[refute_10_41,refute_10_42]) ).

cnf(refute_10_44,plain,
    ( h4(e13) != e21
    | h4(e13) != op2(e23,e23)
    | e21 = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e23,e23)) ),[0],$fot(e21)]]) ).

cnf(refute_10_45,plain,
    ( h4(e13) != op2(e23,e23)
    | e21 = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_10_31,refute_10_44]) ).

cnf(refute_10_46,plain,
    e21 = op2(e23,e23),
    inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_10_2,refute_10_45]) ).

cnf(refute_10_47,plain,
    ( e21 != op2(e23,e23)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_10_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_10_48,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_10_46,refute_10_47]) ).

cnf(refute_10_49,plain,
    h4(e12) = e23,
    inference(canonicalize,[],[normalize_10_16]) ).

cnf(refute_10_50,plain,
    op2(e23,h4(e12)) = op2(e23,h4(e12)),
    introduced(tautology,[refl,[$fot(op2(e23,h4(e12)))]]) ).

cnf(refute_10_51,plain,
    ( h4(e12) != e23
    | op2(e23,h4(e12)) != op2(e23,h4(e12))
    | op2(e23,h4(e12)) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e12)),op2(e23,h4(e12))) ),[1,1],$fot(e23)]]) ).

cnf(refute_10_52,plain,
    ( h4(e12) != e23
    | op2(e23,h4(e12)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e12)),op2(e23,h4(e12))) )],[refute_10_50,refute_10_51]) ).

cnf(refute_10_53,plain,
    op2(e23,h4(e12)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_10_49,refute_10_52]) ).

cnf(refute_10_54,plain,
    op2(h4(e12),h4(e12)) = op2(h4(e12),h4(e12)),
    introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e12)))]]) ).

cnf(refute_10_55,plain,
    ( h4(e12) != e23
    | op2(h4(e12),h4(e12)) != op2(h4(e12),h4(e12))
    | op2(h4(e12),h4(e12)) = op2(e23,h4(e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(h4(e12),h4(e12))) ),[1,0],$fot(e23)]]) ).

cnf(refute_10_56,plain,
    ( h4(e12) != e23
    | op2(h4(e12),h4(e12)) = op2(e23,h4(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(h4(e12),h4(e12))) )],[refute_10_54,refute_10_55]) ).

cnf(refute_10_57,plain,
    op2(h4(e12),h4(e12)) = op2(e23,h4(e12)),
    inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_10_49,refute_10_56]) ).

cnf(refute_10_58,plain,
    ( op2(e23,h4(e12)) != op2(e23,e23)
    | op2(h4(e12),h4(e12)) != op2(e23,h4(e12))
    | op2(h4(e12),h4(e12)) = op2(e23,e23) ),
    inference(subst,[],[refute_10_20:[bind(X,$fot(op2(h4(e12),h4(e12)))),bind(Y,$fot(op2(e23,h4(e12)))),bind(Z,$fot(op2(e23,e23)))]]) ).

cnf(refute_10_59,plain,
    ( op2(e23,h4(e12)) != op2(e23,e23)
    | op2(h4(e12),h4(e12)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(e23,h4(e12))) )],[refute_10_57,refute_10_58]) ).

cnf(refute_10_60,plain,
    op2(h4(e12),h4(e12)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e12)),op2(e23,e23)) )],[refute_10_53,refute_10_59]) ).

cnf(refute_10_61,plain,
    ( op2(e23,e23) != e21
    | op2(h4(e12),h4(e12)) != op2(e23,e23)
    | op2(h4(e12),h4(e12)) = e21 ),
    inference(subst,[],[refute_10_20:[bind(X,$fot(op2(h4(e12),h4(e12)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(e21))]]) ).

cnf(refute_10_62,plain,
    ( op2(e23,e23) != e21
    | op2(h4(e12),h4(e12)) = e21 ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(e23,e23)) )],[refute_10_60,refute_10_61]) ).

cnf(refute_10_63,plain,
    op2(h4(e12),h4(e12)) = e21,
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_10_48,refute_10_62]) ).

cnf(refute_10_64,plain,
    ( e21 != e21
    | op2(h4(e12),h4(e12)) != e21
    | e21 = op2(h4(e12),h4(e12)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(h4(e12),h4(e12))) ),[1],$fot(e21)]]) ).

cnf(refute_10_65,plain,
    ( e21 != e21
    | e21 = op2(h4(e12),h4(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),e21) )],[refute_10_63,refute_10_64]) ).

cnf(refute_10_66,plain,
    ( e21 != e21
    | h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
    inference(resolve,[$cnf( $equal(e21,op2(h4(e12),h4(e12))) )],[refute_10_65,refute_10_43]) ).

cnf(refute_10_67,plain,
    e21 != e21,
    inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),op2(h4(e12),h4(e12))) )],[refute_10_66,refute_10_0]) ).

cnf(refute_10_68,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_10_69,plain,
    $false,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_10_68,refute_10_67]) ).

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,
    ( ( 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_1,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e10) = e10
    | op1(e12,e10) = e10
    | op1(e13,e10) = e10 ),
    inference(conjunct,[],[normalize_11_0]) ).

fof(normalize_11_2,plain,
    ( ( ( op1(e10,e10) != e11
        & op1(e11,e11) = e10 )
      | ( op1(e10,e10) != e12
        & op1(e12,e12) = e10 )
      | ( op1(e10,e10) != e13
        & op1(e13,e13) = e10 ) )
    & ( ( op1(e11,e11) != e10
        & op1(e10,e10) = e11 )
      | ( op1(e11,e11) != e12
        & op1(e12,e12) = e11 )
      | ( op1(e11,e11) != e13
        & op1(e13,e13) = e11 ) )
    & ( ( op1(e12,e12) != e10
        & op1(e10,e10) = e12 )
      | ( op1(e12,e12) != e11
        & op1(e11,e11) = e12 )
      | ( op1(e12,e12) != e13
        & op1(e13,e13) = e12 ) )
    & ( ( op1(e13,e13) != e10
        & op1(e10,e10) = e13 )
      | ( op1(e13,e13) != e11
        & op1(e11,e11) = e13 )
      | ( op1(e13,e13) != e12
        & op1(e12,e12) = e13 ) ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_11_3,plain,
    ( ( op1(e12,e12) != e10
      & op1(e10,e10) = e12 )
    | ( op1(e12,e12) != e11
      & op1(e11,e11) = e12 )
    | ( op1(e12,e12) != e13
      & op1(e13,e13) = e12 ) ),
    inference(conjunct,[],[normalize_11_2]) ).

fof(normalize_11_4,plain,
    ( ( op1(e12,e12) != e10
      | op1(e12,e12) != e11
      | op1(e12,e12) != e13 )
    & ( op1(e12,e12) != e10
      | op1(e12,e12) != e11
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e10
      | op1(e12,e12) != e13
      | op1(e11,e11) = e12 )
    & ( op1(e12,e12) != e10
      | op1(e11,e11) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e12) != e13
      | op1(e10,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e10,e10) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e10,e10) = e12
      | op1(e11,e11) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e11) = e12
      | op1(e13,e13) = e12 ) ),
    inference(clausify,[],[normalize_11_3]) ).

fof(normalize_11_5,plain,
    ( op1(e12,e12) != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(conjunct,[],[normalize_11_4]) ).

fof(normalize_11_6,plain,
    ( e10 = op1(op1(e12,e12),e12)
    & e11 = op1(op1(e12,e12),op1(e12,e12))
    & e13 = op1(e12,e12) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_11_7,plain,
    e13 = op1(e12,e12),
    inference(conjunct,[],[normalize_11_6]) ).

fof(normalize_11_8,plain,
    ( ( op1(e10,e10) != e11
      & op1(e11,e11) = e10 )
    | ( op1(e10,e10) != e12
      & op1(e12,e12) = e10 )
    | ( op1(e10,e10) != e13
      & op1(e13,e13) = e10 ) ),
    inference(conjunct,[],[normalize_11_2]) ).

fof(normalize_11_9,plain,
    ( ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e10,e10) != e13 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e13
      | op1(e12,e12) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e10) != e13
      | op1(e11,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e11) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e11) = e10
      | op1(e12,e12) = e10 )
    & ( op1(e11,e11) = e10
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 ) ),
    inference(clausify,[],[normalize_11_8]) ).

fof(normalize_11_10,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(conjunct,[],[normalize_11_9]) ).

fof(normalize_11_11,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_11_12,plain,
    e10 != e13,
    inference(conjunct,[],[normalize_11_11]) ).

fof(normalize_11_13,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(conjunct,[],[normalize_11_6]) ).

fof(normalize_11_14,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_11_11]) ).

fof(normalize_11_15,plain,
    e10 != e12,
    inference(conjunct,[],[normalize_11_11]) ).

fof(normalize_11_16,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_17,plain,
    ( h1(e10) = op2(op2(e20,e20),e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = e20
    & h1(e13) = op2(e20,e20) ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_11_18,plain,
    h1(e12) = e20,
    inference(conjunct,[],[normalize_11_17]) ).

fof(normalize_11_19,plain,
    ( h2(e10) = op2(op2(e21,e21),e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = e21
    & h2(e13) = op2(e21,e21) ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_11_20,plain,
    h2(e12) = e21,
    inference(conjunct,[],[normalize_11_19]) ).

fof(normalize_11_21,plain,
    ( h3(e10) = op2(op2(e22,e22),e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = e22
    & h3(e13) = op2(e22,e22) ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_11_22,plain,
    h3(e12) = e22,
    inference(conjunct,[],[normalize_11_21]) ).

fof(normalize_11_23,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_16,normalize_11_18,normalize_11_20,normalize_11_22]) ).

fof(normalize_11_24,plain,
    h4(op1(e12,e10)) = op2(h4(e12),h4(e10)),
    inference(conjunct,[],[normalize_11_23]) ).

fof(normalize_11_25,plain,
    ( h4(e10) = op2(op2(e23,e23),e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = e23
    & h4(e13) = op2(e23,e23) ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_11_26,plain,
    h4(e12) = e23,
    inference(conjunct,[],[normalize_11_25]) ).

fof(normalize_11_27,plain,
    ( e20 = op2(op2(e22,e22),e22)
    & e21 = op2(op2(e22,e22),op2(e22,e22))
    & e23 = op2(e22,e22) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_11_28,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(conjunct,[],[normalize_11_27]) ).

fof(normalize_11_29,plain,
    e23 = op2(e22,e22),
    inference(conjunct,[],[normalize_11_27]) ).

fof(normalize_11_30,plain,
    h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
    inference(conjunct,[],[normalize_11_23]) ).

fof(normalize_11_31,plain,
    h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
    inference(conjunct,[],[normalize_11_19]) ).

fof(normalize_11_32,plain,
    h2(e13) = op2(e21,e21),
    inference(conjunct,[],[normalize_11_19]) ).

fof(normalize_11_33,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_11_25]) ).

fof(normalize_11_34,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(conjunct,[],[normalize_11_27]) ).

fof(normalize_11_35,plain,
    h4(e13) = op2(e23,e23),
    inference(conjunct,[],[normalize_11_25]) ).

fof(normalize_11_36,plain,
    h1(e13) = op2(e20,e20),
    inference(conjunct,[],[normalize_11_17]) ).

fof(normalize_11_37,plain,
    ( ( ( op2(e20,e20) != e21
        & op2(e21,e21) = e20 )
      | ( op2(e20,e20) != e22
        & op2(e22,e22) = e20 )
      | ( op2(e20,e20) != e23
        & op2(e23,e23) = e20 ) )
    & ( ( op2(e21,e21) != e20
        & op2(e20,e20) = e21 )
      | ( op2(e21,e21) != e22
        & op2(e22,e22) = e21 )
      | ( op2(e21,e21) != e23
        & op2(e23,e23) = e21 ) )
    & ( ( op2(e22,e22) != e20
        & op2(e20,e20) = e22 )
      | ( op2(e22,e22) != e21
        & op2(e21,e21) = e22 )
      | ( op2(e22,e22) != e23
        & op2(e23,e23) = e22 ) )
    & ( ( op2(e23,e23) != e20
        & op2(e20,e20) = e23 )
      | ( op2(e23,e23) != e21
        & op2(e21,e21) = e23 )
      | ( op2(e23,e23) != e22
        & op2(e22,e22) = e23 ) ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_11_38,plain,
    ( ( op2(e20,e20) != e21
      & op2(e21,e21) = e20 )
    | ( op2(e20,e20) != e22
      & op2(e22,e22) = e20 )
    | ( op2(e20,e20) != e23
      & op2(e23,e23) = e20 ) ),
    inference(conjunct,[],[normalize_11_37]) ).

fof(normalize_11_39,plain,
    ( ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e20,e20) != e23 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e23
      | op2(e22,e22) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e20) != e23
      | op2(e21,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e21) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e21) = e20
      | op2(e22,e22) = e20 )
    & ( op2(e21,e21) = e20
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 ) ),
    inference(clausify,[],[normalize_11_38]) ).

fof(normalize_11_40,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(conjunct,[],[normalize_11_39]) ).

fof(normalize_11_41,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_11_42,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_11_41]) ).

fof(normalize_11_43,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_11_41]) ).

fof(normalize_11_44,plain,
    ( ( op2(e22,e22) != e20
      & op2(e20,e20) = e22 )
    | ( op2(e22,e22) != e21
      & op2(e21,e21) = e22 )
    | ( op2(e22,e22) != e23
      & op2(e23,e23) = e22 ) ),
    inference(conjunct,[],[normalize_11_37]) ).

fof(normalize_11_45,plain,
    ( ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e23
      | op2(e21,e21) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e22) != e23
      | op2(e20,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e20,e20) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e20,e20) = e22
      | op2(e21,e21) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 ) ),
    inference(clausify,[],[normalize_11_44]) ).

fof(normalize_11_46,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(conjunct,[],[normalize_11_45]) ).

fof(normalize_11_47,plain,
    e20 != e22,
    inference(conjunct,[],[normalize_11_41]) ).

fof(normalize_11_48,plain,
    ( ( op1(e10,e10) = e10
      | op1(e10,e10) = e11
      | op1(e10,e10) = e12
      | op1(e10,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e10,e11) = e11
      | op1(e10,e11) = e12
      | op1(e10,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e10,e12) = e11
      | op1(e10,e12) = e12
      | op1(e10,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e10,e13) = e11
      | op1(e10,e13) = e12
      | op1(e10,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e10) = e11
      | op1(e11,e10) = e12
      | op1(e11,e10) = e13 )
    & ( op1(e11,e11) = e10
      | op1(e11,e11) = e11
      | op1(e11,e11) = e12
      | op1(e11,e11) = e13 )
    & ( op1(e11,e12) = e10
      | op1(e11,e12) = e11
      | op1(e11,e12) = e12
      | op1(e11,e12) = e13 )
    & ( op1(e11,e13) = e10
      | op1(e11,e13) = e11
      | op1(e11,e13) = e12
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e10) = e11
      | op1(e12,e10) = e12
      | op1(e12,e10) = e13 )
    & ( op1(e12,e11) = e10
      | op1(e12,e11) = e11
      | op1(e12,e11) = e12
      | op1(e12,e11) = e13 )
    & ( op1(e12,e12) = e10
      | op1(e12,e12) = e11
      | op1(e12,e12) = e12
      | op1(e12,e12) = e13 )
    & ( op1(e12,e13) = e10
      | op1(e12,e13) = e11
      | op1(e12,e13) = e12
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e10) = e11
      | op1(e13,e10) = e12
      | op1(e13,e10) = e13 )
    & ( op1(e13,e11) = e10
      | op1(e13,e11) = e11
      | op1(e13,e11) = e12
      | op1(e13,e11) = e13 )
    & ( op1(e13,e12) = e10
      | op1(e13,e12) = e11
      | op1(e13,e12) = e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) = e10
      | op1(e13,e13) = e11
      | op1(e13,e13) = e12
      | op1(e13,e13) = e13 ) ),
    inference(canonicalize,[],[ax1]) ).

fof(normalize_11_49,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e10) = e11
    | op1(e12,e10) = e12
    | op1(e12,e10) = e13 ),
    inference(conjunct,[],[normalize_11_48]) ).

fof(normalize_11_50,plain,
    ( op1(e10,e10) != op1(e10,e11)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e10) != op1(e11,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e12) != op1(e13,e13) ),
    inference(canonicalize,[],[ax5]) ).

fof(normalize_11_51,plain,
    op1(e12,e10) != op1(e12,e12),
    inference(conjunct,[],[normalize_11_50]) ).

fof(normalize_11_52,plain,
    op1(e10,e10) != op1(e12,e10),
    inference(conjunct,[],[normalize_11_50]) ).

fof(normalize_11_53,plain,
    op1(e11,e10) != op1(e11,e11),
    inference(conjunct,[],[normalize_11_50]) ).

fof(normalize_11_54,plain,
    op1(e13,e10) != op1(e13,e12),
    inference(conjunct,[],[normalize_11_50]) ).

fof(normalize_11_55,plain,
    e10 = op1(op1(e12,e12),e12),
    inference(conjunct,[],[normalize_11_6]) ).

cnf(refute_11_0,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e10) = e10
    | op1(e12,e10) = e10
    | op1(e13,e10) = e10 ),
    inference(canonicalize,[],[normalize_11_1]) ).

cnf(refute_11_1,plain,
    ( op1(e12,e12) != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(canonicalize,[],[normalize_11_5]) ).

cnf(refute_11_2,plain,
    e13 = op1(e12,e12),
    inference(canonicalize,[],[normalize_11_7]) ).

cnf(refute_11_3,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_11_4,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_11_5,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_11_3,refute_11_4]) ).

cnf(refute_11_6,plain,
    ( e13 != op1(e12,e12)
    | op1(e12,e12) = e13 ),
    inference(subst,[],[refute_11_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).

cnf(refute_11_7,plain,
    op1(e12,e12) = e13,
    inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_11_2,refute_11_6]) ).

cnf(refute_11_8,plain,
    ( e13 != e13
    | op1(e12,e12) != e13
    | op1(e12,e12) = e13 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e13) ),[1],$fot(e13)]]) ).

cnf(refute_11_9,plain,
    ( e13 != e13
    | op1(e12,e12) = e13 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_11_7,refute_11_8]) ).

cnf(refute_11_10,plain,
    ( e13 != e13
    | op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_11_9,refute_11_1]) ).

cnf(refute_11_11,plain,
    e13 = e13,
    introduced(tautology,[refl,[$fot(e13)]]) ).

cnf(refute_11_12,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e11) = e12 ),
    inference(resolve,[$cnf( $equal(e13,e13) )],[refute_11_11,refute_11_10]) ).

cnf(refute_11_13,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(canonicalize,[],[normalize_11_10]) ).

cnf(refute_11_14,plain,
    ( op1(e12,e12) != e10
    | op1(e12,e12) != e13
    | e13 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[0],$fot(e13)]]) ).

cnf(refute_11_15,plain,
    ( op1(e12,e12) != e10
    | e13 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_11_7,refute_11_14]) ).

cnf(refute_11_16,plain,
    ( e13 = e10
    | op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_11_13,refute_11_15]) ).

cnf(refute_11_17,plain,
    e10 != e13,
    inference(canonicalize,[],[normalize_11_12]) ).

cnf(refute_11_18,plain,
    ( e13 != e10
    | e10 = e13 ),
    inference(subst,[],[refute_11_5:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).

cnf(refute_11_19,plain,
    e13 != e10,
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_11_18,refute_11_17]) ).

cnf(refute_11_20,plain,
    ( op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(e13,e10) )],[refute_11_16,refute_11_19]) ).

cnf(refute_11_21,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(canonicalize,[],[normalize_11_13]) ).

cnf(refute_11_22,plain,
    op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).

cnf(refute_11_23,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).

cnf(refute_11_24,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_11_22,refute_11_23]) ).

cnf(refute_11_25,plain,
    op1(e13,op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_11_7,refute_11_24]) ).

cnf(refute_11_26,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_11_27,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).

cnf(refute_11_28,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_11_26,refute_11_27]) ).

cnf(refute_11_29,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_11_7,refute_11_28]) ).

cnf(refute_11_30,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_11_31,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_11_5,refute_11_30]) ).

cnf(refute_11_32,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(subst,[],[refute_11_31:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).

cnf(refute_11_33,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_11_29,refute_11_32]) ).

cnf(refute_11_34,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_11_25,refute_11_33]) ).

cnf(refute_11_35,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
    | e11 = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_11_36,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | e11 = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_11_34,refute_11_35]) ).

cnf(refute_11_37,plain,
    e11 = op1(e13,e13),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_11_21,refute_11_36]) ).

cnf(refute_11_38,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_11_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_11_39,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_11_37,refute_11_38]) ).

cnf(refute_11_40,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e13) != e11
    | e11 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).

cnf(refute_11_41,plain,
    ( op1(e13,e13) != e10
    | e11 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_11_39,refute_11_40]) ).

cnf(refute_11_42,plain,
    ( e11 = e10
    | op1(e11,e11) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_11_20,refute_11_41]) ).

cnf(refute_11_43,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_11_14]) ).

cnf(refute_11_44,plain,
    ( e11 != e10
    | e10 = e11 ),
    inference(subst,[],[refute_11_5:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).

cnf(refute_11_45,plain,
    e11 != e10,
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_11_44,refute_11_43]) ).

cnf(refute_11_46,plain,
    op1(e11,e11) = e10,
    inference(resolve,[$cnf( $equal(e11,e10) )],[refute_11_42,refute_11_45]) ).

cnf(refute_11_47,plain,
    ( op1(e11,e11) != e10
    | op1(e11,e11) != e12
    | e10 = e12 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e12) ),[0],$fot(e10)]]) ).

cnf(refute_11_48,plain,
    ( op1(e11,e11) != e12
    | e10 = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_11_46,refute_11_47]) ).

cnf(refute_11_49,plain,
    ( e10 = e12
    | op1(e10,e10) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e12) )],[refute_11_12,refute_11_48]) ).

cnf(refute_11_50,plain,
    e10 != e12,
    inference(canonicalize,[],[normalize_11_15]) ).

cnf(refute_11_51,plain,
    op1(e10,e10) = e12,
    inference(resolve,[$cnf( $equal(e10,e12) )],[refute_11_49,refute_11_50]) ).

cnf(refute_11_52,plain,
    ( op1(e10,e10) != e10
    | op1(e10,e10) != e12
    | e12 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[0],$fot(e12)]]) ).

cnf(refute_11_53,plain,
    ( op1(e10,e10) != e10
    | e12 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_11_51,refute_11_52]) ).

cnf(refute_11_54,plain,
    ( e12 = e10
    | op1(e11,e10) = e10
    | op1(e12,e10) = e10
    | op1(e13,e10) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_11_0,refute_11_53]) ).

cnf(refute_11_55,plain,
    h4(op1(e12,e10)) = op2(h4(e12),h4(e10)),
    inference(canonicalize,[],[normalize_11_24]) ).

cnf(refute_11_56,plain,
    h4(e12) = e23,
    inference(canonicalize,[],[normalize_11_26]) ).

cnf(refute_11_57,plain,
    op2(h4(e12),h4(e10)) = op2(h4(e12),h4(e10)),
    introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e10)))]]) ).

cnf(refute_11_58,plain,
    ( h4(e12) != e23
    | op2(h4(e12),h4(e10)) != op2(h4(e12),h4(e10))
    | op2(h4(e12),h4(e10)) = op2(e23,h4(e10)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) ),[1,0],$fot(e23)]]) ).

cnf(refute_11_59,plain,
    ( h4(e12) != e23
    | op2(h4(e12),h4(e10)) = op2(e23,h4(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) )],[refute_11_57,refute_11_58]) ).

cnf(refute_11_60,plain,
    op2(h4(e12),h4(e10)) = op2(e23,h4(e10)),
    inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_11_56,refute_11_59]) ).

cnf(refute_11_61,plain,
    ( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | op2(h4(e12),h4(e10)) != op2(e23,h4(e10))
    | h4(op1(e12,e10)) = op2(e23,h4(e10)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),op2(e23,h4(e10))) ),[0],$fot(op2(h4(e12),h4(e10)))]]) ).

cnf(refute_11_62,plain,
    ( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | h4(op1(e12,e10)) = op2(e23,h4(e10)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(e23,h4(e10))) )],[refute_11_60,refute_11_61]) ).

cnf(refute_11_63,plain,
    h4(op1(e12,e10)) = op2(e23,h4(e10)),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(h4(e12),h4(e10))) )],[refute_11_55,refute_11_62]) ).

cnf(refute_11_64,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(canonicalize,[],[normalize_11_28]) ).

cnf(refute_11_65,plain,
    e23 = op2(e22,e22),
    inference(canonicalize,[],[normalize_11_29]) ).

cnf(refute_11_66,plain,
    ( e23 != op2(e22,e22)
    | op2(e22,e22) = e23 ),
    inference(subst,[],[refute_11_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_11_67,plain,
    op2(e22,e22) = e23,
    inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_11_65,refute_11_66]) ).

cnf(refute_11_68,plain,
    op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).

cnf(refute_11_69,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).

cnf(refute_11_70,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),e22) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_11_68,refute_11_69]) ).

cnf(refute_11_71,plain,
    op2(op2(e22,e22),e22) = op2(e23,e22),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_67,refute_11_70]) ).

cnf(refute_11_72,plain,
    ( e20 != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) != op2(e23,e22)
    | e20 = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).

cnf(refute_11_73,plain,
    ( e20 != op2(op2(e22,e22),e22)
    | e20 = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_11_71,refute_11_72]) ).

cnf(refute_11_74,plain,
    e20 = op2(e23,e22),
    inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_11_64,refute_11_73]) ).

cnf(refute_11_75,plain,
    ( e20 != op2(e23,e22)
    | op2(e23,e22) = e20 ),
    inference(subst,[],[refute_11_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).

cnf(refute_11_76,plain,
    op2(e23,e22) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_11_74,refute_11_75]) ).

cnf(refute_11_77,plain,
    h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
    inference(canonicalize,[],[normalize_11_30]) ).

cnf(refute_11_78,plain,
    h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
    inference(canonicalize,[],[normalize_11_31]) ).

cnf(refute_11_79,plain,
    h2(e13) = op2(e21,e21),
    inference(canonicalize,[],[normalize_11_32]) ).

cnf(refute_11_80,plain,
    ( h2(e13) != op2(e21,e21)
    | op2(e21,e21) = h2(e13) ),
    inference(subst,[],[refute_11_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_11_81,plain,
    op2(e21,e21) = h2(e13),
    inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_11_79,refute_11_80]) ).

cnf(refute_11_82,plain,
    op2(h2(e13),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
    introduced(tautology,[refl,[$fot(op2(h2(e13),op2(e21,e21)))]]) ).

cnf(refute_11_83,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(h2(e13),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
    | op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).

cnf(refute_11_84,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_11_82,refute_11_83]) ).

cnf(refute_11_85,plain,
    op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_11_81,refute_11_84]) ).

cnf(refute_11_86,plain,
    op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
    introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).

cnf(refute_11_87,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e13))]]) ).

cnf(refute_11_88,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_11_86,refute_11_87]) ).

cnf(refute_11_89,plain,
    op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_11_81,refute_11_88]) ).

cnf(refute_11_90,plain,
    ( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
    | op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    inference(subst,[],[refute_11_31:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e13),op2(e21,e21)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).

cnf(refute_11_91,plain,
    ( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_11_89,refute_11_90]) ).

cnf(refute_11_92,plain,
    op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_11_85,refute_11_91]) ).

cnf(refute_11_93,plain,
    ( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
    | op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),h2(e13))
    | h2(e11) = op2(h2(e13),h2(e13)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e13),h2(e13))) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).

cnf(refute_11_94,plain,
    ( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
    | h2(e11) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_11_92,refute_11_93]) ).

cnf(refute_11_95,plain,
    h2(e11) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(h2(e11),op2(op2(e21,e21),op2(e21,e21))) )],[refute_11_78,refute_11_94]) ).

cnf(refute_11_96,plain,
    ( h2(e11) != op2(h2(e13),h2(e13))
    | op2(h2(e13),h2(e13)) = h2(e11) ),
    inference(subst,[],[refute_11_5:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(h2(e13),h2(e13))))]]) ).

cnf(refute_11_97,plain,
    op2(h2(e13),h2(e13)) = h2(e11),
    inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_11_95,refute_11_96]) ).

cnf(refute_11_98,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_11_33]) ).

cnf(refute_11_99,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(canonicalize,[],[normalize_11_34]) ).

cnf(refute_11_100,plain,
    h4(e13) = op2(e23,e23),
    inference(canonicalize,[],[normalize_11_35]) ).

cnf(refute_11_101,plain,
    ( h4(e13) != op2(e23,e23)
    | op2(e23,e23) = h4(e13) ),
    inference(subst,[],[refute_11_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_11_102,plain,
    op2(e23,e23) = h4(e13),
    inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_11_100,refute_11_101]) ).

cnf(refute_11_103,plain,
    op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).

cnf(refute_11_104,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).

cnf(refute_11_105,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_11_103,refute_11_104]) ).

cnf(refute_11_106,plain,
    op2(e23,op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_67,refute_11_105]) ).

cnf(refute_11_107,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_11_108,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).

cnf(refute_11_109,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_11_107,refute_11_108]) ).

cnf(refute_11_110,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_67,refute_11_109]) ).

cnf(refute_11_111,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(subst,[],[refute_11_31:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).

cnf(refute_11_112,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_11_110,refute_11_111]) ).

cnf(refute_11_113,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_11_106,refute_11_112]) ).

cnf(refute_11_114,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(subst,[],[refute_11_31:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).

cnf(refute_11_115,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_11_113,refute_11_114]) ).

cnf(refute_11_116,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_11_102,refute_11_115]) ).

cnf(refute_11_117,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
    | e21 = h4(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_11_118,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | e21 = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_11_116,refute_11_117]) ).

cnf(refute_11_119,plain,
    e21 = h4(e13),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_11_99,refute_11_118]) ).

cnf(refute_11_120,plain,
    ( e21 != h4(e13)
    | h4(e13) = e21 ),
    inference(subst,[],[refute_11_5:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).

cnf(refute_11_121,plain,
    h4(e13) = e21,
    inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_11_119,refute_11_120]) ).

cnf(refute_11_122,plain,
    ( h4(e13) != e21
    | op2(e23,e23) != h4(e13)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_11_31:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).

cnf(refute_11_123,plain,
    ( h4(e13) != e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_11_102,refute_11_122]) ).

cnf(refute_11_124,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_11_121,refute_11_123]) ).

cnf(refute_11_125,plain,
    op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).

cnf(refute_11_126,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
    | op2(e23,e23) != e21
    | op2(e21,op2(e23,e23)) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).

cnf(refute_11_127,plain,
    ( op2(e23,e23) != e21
    | op2(e21,op2(e23,e23)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_11_125,refute_11_126]) ).

cnf(refute_11_128,plain,
    op2(e21,op2(e23,e23)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_11_124,refute_11_127]) ).

cnf(refute_11_129,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_130,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,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(e21)]]) ).

cnf(refute_11_131,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_11_129,refute_11_130]) ).

cnf(refute_11_132,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_11_124,refute_11_131]) ).

cnf(refute_11_133,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
    inference(subst,[],[refute_11_31:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).

cnf(refute_11_134,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_11_132,refute_11_133]) ).

cnf(refute_11_135,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_11_128,refute_11_134]) ).

cnf(refute_11_136,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
    inference(subst,[],[refute_11_31:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).

cnf(refute_11_137,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_11_135,refute_11_136]) ).

cnf(refute_11_138,plain,
    op2(op2(e23,e23),op2(e23,e23)) = h2(e13),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_11_81,refute_11_137]) ).

cnf(refute_11_139,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != h2(e13)
    | h4(e11) = h2(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h2(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_11_140,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | h4(e11) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e13)) )],[refute_11_138,refute_11_139]) ).

cnf(refute_11_141,plain,
    h4(e11) = h2(e13),
    inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_11_98,refute_11_140]) ).

cnf(refute_11_142,plain,
    op2(h2(e13),h4(e11)) = op2(h2(e13),h4(e11)),
    introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e11)))]]) ).

cnf(refute_11_143,plain,
    ( h4(e11) != h2(e13)
    | op2(h2(e13),h4(e11)) != op2(h2(e13),h4(e11))
    | op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h4(e11))) ),[1,1],$fot(h2(e13))]]) ).

cnf(refute_11_144,plain,
    ( h4(e11) != h2(e13)
    | op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h4(e11))) )],[refute_11_142,refute_11_143]) ).

cnf(refute_11_145,plain,
    op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_11_141,refute_11_144]) ).

cnf(refute_11_146,plain,
    op2(h4(e11),h4(e11)) = op2(h4(e11),h4(e11)),
    introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e11)))]]) ).

cnf(refute_11_147,plain,
    ( h4(e11) != h2(e13)
    | op2(h4(e11),h4(e11)) != op2(h4(e11),h4(e11))
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) ),[1,0],$fot(h2(e13))]]) ).

cnf(refute_11_148,plain,
    ( h4(e11) != h2(e13)
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) )],[refute_11_146,refute_11_147]) ).

cnf(refute_11_149,plain,
    op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)),
    inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_11_141,refute_11_148]) ).

cnf(refute_11_150,plain,
    ( op2(h2(e13),h4(e11)) != op2(h2(e13),h2(e13))
    | op2(h4(e11),h4(e11)) != op2(h2(e13),h4(e11))
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)) ),
    inference(subst,[],[refute_11_31:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(h2(e13),h4(e11)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).

cnf(refute_11_151,plain,
    ( op2(h2(e13),h4(e11)) != op2(h2(e13),h2(e13))
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h2(e13),h4(e11))) )],[refute_11_149,refute_11_150]) ).

cnf(refute_11_152,plain,
    op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h2(e13))) )],[refute_11_145,refute_11_151]) ).

cnf(refute_11_153,plain,
    ( op2(h2(e13),h2(e13)) != h2(e11)
    | op2(h4(e11),h4(e11)) != op2(h2(e13),h2(e13))
    | op2(h4(e11),h4(e11)) = h2(e11) ),
    inference(subst,[],[refute_11_31:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(h2(e13),h2(e13)))),bind(Z,$fot(h2(e11)))]]) ).

cnf(refute_11_154,plain,
    ( op2(h2(e13),h2(e13)) != h2(e11)
    | op2(h4(e11),h4(e11)) = h2(e11) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h2(e13),h2(e13))) )],[refute_11_152,refute_11_153]) ).

cnf(refute_11_155,plain,
    op2(h4(e11),h4(e11)) = h2(e11),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),h2(e11)) )],[refute_11_97,refute_11_154]) ).

cnf(refute_11_156,plain,
    ( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | op2(h4(e11),h4(e11)) != h2(e11)
    | h4(op1(e11,e11)) = h2(e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),h2(e11)) ),[0],$fot(op2(h4(e11),h4(e11)))]]) ).

cnf(refute_11_157,plain,
    ( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | h4(op1(e11,e11)) = h2(e11) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),h2(e11)) )],[refute_11_155,refute_11_156]) ).

cnf(refute_11_158,plain,
    h4(op1(e11,e11)) = h2(e11),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_11_77,refute_11_157]) ).

cnf(refute_11_159,plain,
    h1(e13) = op2(e20,e20),
    inference(canonicalize,[],[normalize_11_36]) ).

cnf(refute_11_160,plain,
    ( h1(e13) != op2(e20,e20)
    | op2(e20,e20) = h1(e13) ),
    inference(subst,[],[refute_11_5:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_11_161,plain,
    op2(e20,e20) = h1(e13),
    inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_11_159,refute_11_160]) ).

cnf(refute_11_162,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(canonicalize,[],[normalize_11_40]) ).

cnf(refute_11_163,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).

cnf(refute_11_164,plain,
    ( op2(e21,e21) != e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_11_81,refute_11_163]) ).

cnf(refute_11_165,plain,
    ( h2(e13) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_11_162,refute_11_164]) ).

cnf(refute_11_166,plain,
    ( op2(e22,e22) != e20
    | op2(e22,e22) != e23
    | e23 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).

cnf(refute_11_167,plain,
    ( op2(e22,e22) != e20
    | e23 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_67,refute_11_166]) ).

cnf(refute_11_168,plain,
    ( e23 = e20
    | h2(e13) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_11_165,refute_11_167]) ).

cnf(refute_11_169,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e23) != h4(e13)
    | h4(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(h4(e13))]]) ).

cnf(refute_11_170,plain,
    ( op2(e23,e23) != e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_11_102,refute_11_169]) ).

cnf(refute_11_171,plain,
    ( e23 = e20
    | h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_11_168,refute_11_170]) ).

cnf(refute_11_172,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_11_42]) ).

cnf(refute_11_173,plain,
    ( e23 != e20
    | e20 = e23 ),
    inference(subst,[],[refute_11_5:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).

cnf(refute_11_174,plain,
    e23 != e20,
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_11_173,refute_11_172]) ).

cnf(refute_11_175,plain,
    ( h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(e23,e20) )],[refute_11_171,refute_11_174]) ).

cnf(refute_11_176,plain,
    ( h4(e13) != e20
    | h4(e13) != e21
    | e21 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),e20) ),[0],$fot(e21)]]) ).

cnf(refute_11_177,plain,
    ( h4(e13) != e20
    | e21 = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_11_121,refute_11_176]) ).

cnf(refute_11_178,plain,
    ( e21 = e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_11_175,refute_11_177]) ).

cnf(refute_11_179,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_11_43]) ).

cnf(refute_11_180,plain,
    ( e21 != e20
    | e20 = e21 ),
    inference(subst,[],[refute_11_5:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).

cnf(refute_11_181,plain,
    e21 != e20,
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_11_180,refute_11_179]) ).

cnf(refute_11_182,plain,
    h2(e13) = e20,
    inference(resolve,[$cnf( $equal(e21,e20) )],[refute_11_178,refute_11_181]) ).

cnf(refute_11_183,plain,
    op2(e20,h2(e13)) = op2(e20,h2(e13)),
    introduced(tautology,[refl,[$fot(op2(e20,h2(e13)))]]) ).

cnf(refute_11_184,plain,
    ( h2(e13) != e20
    | op2(e20,h2(e13)) != op2(e20,h2(e13))
    | op2(e20,h2(e13)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,h2(e13))) ),[1,1],$fot(e20)]]) ).

cnf(refute_11_185,plain,
    ( h2(e13) != e20
    | op2(e20,h2(e13)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,h2(e13))) )],[refute_11_183,refute_11_184]) ).

cnf(refute_11_186,plain,
    op2(e20,h2(e13)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_11_182,refute_11_185]) ).

cnf(refute_11_187,plain,
    op2(h2(e13),h2(e13)) = op2(h2(e13),h2(e13)),
    introduced(tautology,[refl,[$fot(op2(h2(e13),h2(e13)))]]) ).

cnf(refute_11_188,plain,
    ( h2(e13) != e20
    | op2(h2(e13),h2(e13)) != op2(h2(e13),h2(e13))
    | op2(h2(e13),h2(e13)) = op2(e20,h2(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(h2(e13),h2(e13))) ),[1,0],$fot(e20)]]) ).

cnf(refute_11_189,plain,
    ( h2(e13) != e20
    | op2(h2(e13),h2(e13)) = op2(e20,h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(h2(e13),h2(e13))) )],[refute_11_187,refute_11_188]) ).

cnf(refute_11_190,plain,
    op2(h2(e13),h2(e13)) = op2(e20,h2(e13)),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_11_182,refute_11_189]) ).

cnf(refute_11_191,plain,
    ( op2(e20,h2(e13)) != op2(e20,e20)
    | op2(h2(e13),h2(e13)) != op2(e20,h2(e13))
    | op2(h2(e13),h2(e13)) = op2(e20,e20) ),
    inference(subst,[],[refute_11_31:[bind(X,$fot(op2(h2(e13),h2(e13)))),bind(Y,$fot(op2(e20,h2(e13)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_11_192,plain,
    ( op2(e20,h2(e13)) != op2(e20,e20)
    | op2(h2(e13),h2(e13)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(e20,h2(e13))) )],[refute_11_190,refute_11_191]) ).

cnf(refute_11_193,plain,
    op2(h2(e13),h2(e13)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,e20)) )],[refute_11_186,refute_11_192]) ).

cnf(refute_11_194,plain,
    ( op2(e20,e20) != h1(e13)
    | op2(h2(e13),h2(e13)) != op2(e20,e20)
    | op2(h2(e13),h2(e13)) = h1(e13) ),
    inference(subst,[],[refute_11_31:[bind(X,$fot(op2(h2(e13),h2(e13)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).

cnf(refute_11_195,plain,
    ( op2(e20,e20) != h1(e13)
    | op2(h2(e13),h2(e13)) = h1(e13) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(e20,e20)) )],[refute_11_193,refute_11_194]) ).

cnf(refute_11_196,plain,
    op2(h2(e13),h2(e13)) = h1(e13),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_11_161,refute_11_195]) ).

cnf(refute_11_197,plain,
    ( h2(e11) != op2(h2(e13),h2(e13))
    | op2(h2(e13),h2(e13)) != h1(e13)
    | h2(e11) = h1(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h1(e13)) ),[0],$fot(op2(h2(e13),h2(e13)))]]) ).

cnf(refute_11_198,plain,
    ( h2(e11) != op2(h2(e13),h2(e13))
    | h2(e11) = h1(e13) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),h1(e13)) )],[refute_11_196,refute_11_197]) ).

cnf(refute_11_199,plain,
    h2(e11) = h1(e13),
    inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_11_95,refute_11_198]) ).

cnf(refute_11_200,plain,
    ( h2(e11) != h1(e13)
    | h4(op1(e11,e11)) != h2(e11)
    | h4(op1(e11,e11)) = h1(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) ),[1],$fot(h1(e13))]]) ).

cnf(refute_11_201,plain,
    ( h4(op1(e11,e11)) != h2(e11)
    | h4(op1(e11,e11)) = h1(e13) ),
    inference(resolve,[$cnf( $equal(h2(e11),h1(e13)) )],[refute_11_199,refute_11_200]) ).

cnf(refute_11_202,plain,
    h4(op1(e11,e11)) = h1(e13),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_11_158,refute_11_201]) ).

cnf(refute_11_203,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(canonicalize,[],[normalize_11_46]) ).

cnf(refute_11_204,plain,
    ( e23 != e23
    | op2(e22,e22) != e23
    | op2(e22,e22) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(e23)]]) ).

cnf(refute_11_205,plain,
    ( e23 != e23
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_67,refute_11_204]) ).

cnf(refute_11_206,plain,
    ( e23 != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_205,refute_11_203]) ).

cnf(refute_11_207,plain,
    ( op2(e20,e20) != e22
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).

cnf(refute_11_208,plain,
    ( op2(e20,e20) != e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_11_161,refute_11_207]) ).

cnf(refute_11_209,plain,
    ( e23 != e23
    | h1(e13) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_11_206,refute_11_208]) ).

cnf(refute_11_210,plain,
    ( op2(e21,e21) != e22
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).

cnf(refute_11_211,plain,
    ( op2(e21,e21) != e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_11_81,refute_11_210]) ).

cnf(refute_11_212,plain,
    ( e23 != e23
    | h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_11_209,refute_11_211]) ).

cnf(refute_11_213,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_11_214,plain,
    ( h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_11_213,refute_11_212]) ).

cnf(refute_11_215,plain,
    ( h2(e13) != e20
    | h2(e13) != e22
    | e20 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[0],$fot(e20)]]) ).

cnf(refute_11_216,plain,
    ( h2(e13) != e22
    | e20 = e22 ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_11_182,refute_11_215]) ).

cnf(refute_11_217,plain,
    ( e20 = e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_11_214,refute_11_216]) ).

cnf(refute_11_218,plain,
    e20 != e22,
    inference(canonicalize,[],[normalize_11_47]) ).

cnf(refute_11_219,plain,
    h1(e13) = e22,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_11_217,refute_11_218]) ).

cnf(refute_11_220,plain,
    ( h1(e13) != e22
    | h4(op1(e11,e11)) != h1(e13)
    | h4(op1(e11,e11)) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h1(e13)) ),[1],$fot(e22)]]) ).

cnf(refute_11_221,plain,
    ( h4(op1(e11,e11)) != h1(e13)
    | h4(op1(e11,e11)) = e22 ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_11_219,refute_11_220]) ).

cnf(refute_11_222,plain,
    h4(op1(e11,e11)) = e22,
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h1(e13)) )],[refute_11_202,refute_11_221]) ).

cnf(refute_11_223,plain,
    h4(op1(e11,e11)) = h4(op1(e11,e11)),
    introduced(tautology,[refl,[$fot(h4(op1(e11,e11)))]]) ).

cnf(refute_11_224,plain,
    ( h4(op1(e11,e11)) != h4(op1(e11,e11))
    | op1(e11,e11) != e10
    | h4(op1(e11,e11)) = h4(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) ),[1,0],$fot(e10)]]) ).

cnf(refute_11_225,plain,
    ( op1(e11,e11) != e10
    | h4(op1(e11,e11)) = h4(e10) ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) )],[refute_11_223,refute_11_224]) ).

cnf(refute_11_226,plain,
    h4(op1(e11,e11)) = h4(e10),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_11_46,refute_11_225]) ).

cnf(refute_11_227,plain,
    ( h4(op1(e11,e11)) != e22
    | h4(op1(e11,e11)) != h4(e10)
    | h4(e10) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),e22) ),[0],$fot(h4(e10))]]) ).

cnf(refute_11_228,plain,
    ( h4(op1(e11,e11)) != e22
    | h4(e10) = e22 ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(e10)) )],[refute_11_226,refute_11_227]) ).

cnf(refute_11_229,plain,
    h4(e10) = e22,
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),e22) )],[refute_11_222,refute_11_228]) ).

cnf(refute_11_230,plain,
    op2(e23,h4(e10)) = op2(e23,h4(e10)),
    introduced(tautology,[refl,[$fot(op2(e23,h4(e10)))]]) ).

cnf(refute_11_231,plain,
    ( h4(e10) != e22
    | op2(e23,h4(e10)) != op2(e23,h4(e10))
    | op2(e23,h4(e10)) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) ),[1,1],$fot(e22)]]) ).

cnf(refute_11_232,plain,
    ( h4(e10) != e22
    | op2(e23,h4(e10)) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) )],[refute_11_230,refute_11_231]) ).

cnf(refute_11_233,plain,
    op2(e23,h4(e10)) = op2(e23,e22),
    inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_11_229,refute_11_232]) ).

cnf(refute_11_234,plain,
    ( op2(e23,e22) != e20
    | op2(e23,h4(e10)) != op2(e23,e22)
    | op2(e23,h4(e10)) = e20 ),
    inference(subst,[],[refute_11_31:[bind(X,$fot(op2(e23,h4(e10)))),bind(Y,$fot(op2(e23,e22))),bind(Z,$fot(e20))]]) ).

cnf(refute_11_235,plain,
    ( op2(e23,e22) != e20
    | op2(e23,h4(e10)) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,e22)) )],[refute_11_233,refute_11_234]) ).

cnf(refute_11_236,plain,
    op2(e23,h4(e10)) = e20,
    inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_11_76,refute_11_235]) ).

cnf(refute_11_237,plain,
    ( h4(op1(e12,e10)) != op2(e23,h4(e10))
    | op2(e23,h4(e10)) != e20
    | h4(op1(e12,e10)) = e20 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e12,e10)),e20) ),[0],$fot(op2(e23,h4(e10)))]]) ).

cnf(refute_11_238,plain,
    ( h4(op1(e12,e10)) != op2(e23,h4(e10))
    | h4(op1(e12,e10)) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),e20) )],[refute_11_236,refute_11_237]) ).

cnf(refute_11_239,plain,
    h4(op1(e12,e10)) = e20,
    inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(e23,h4(e10))) )],[refute_11_63,refute_11_238]) ).

cnf(refute_11_240,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e10) = e11
    | op1(e12,e10) = e12
    | op1(e12,e10) = e13 ),
    inference(canonicalize,[],[normalize_11_49]) ).

cnf(refute_11_241,plain,
    op1(e12,e10) != op1(e12,e12),
    inference(canonicalize,[],[normalize_11_51]) ).

cnf(refute_11_242,plain,
    ( op1(e12,e10) != e13
    | op1(e12,e12) != e13
    | op1(e12,e10) = op1(e12,e12) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e12)) ),[1],$fot(e13)]]) ).

cnf(refute_11_243,plain,
    ( op1(e12,e10) != e13
    | op1(e12,e10) = op1(e12,e12) ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_11_7,refute_11_242]) ).

cnf(refute_11_244,plain,
    op1(e12,e10) != e13,
    inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e12)) )],[refute_11_243,refute_11_241]) ).

cnf(refute_11_245,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e10) = e11
    | op1(e12,e10) = e12 ),
    inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_11_240,refute_11_244]) ).

cnf(refute_11_246,plain,
    op1(e10,e10) != op1(e12,e10),
    inference(canonicalize,[],[normalize_11_52]) ).

cnf(refute_11_247,plain,
    ( e12 != op1(e12,e10)
    | op1(e10,e10) != e12
    | op1(e10,e10) = op1(e12,e10) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e12) ),[1],$fot(op1(e12,e10))]]) ).

cnf(refute_11_248,plain,
    ( e12 != op1(e12,e10)
    | op1(e10,e10) = op1(e12,e10) ),
    inference(resolve,[$cnf( $equal(op1(e10,e10),e12) )],[refute_11_51,refute_11_247]) ).

cnf(refute_11_249,plain,
    e12 != op1(e12,e10),
    inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e12,e10)) )],[refute_11_248,refute_11_246]) ).

cnf(refute_11_250,plain,
    ( op1(e12,e10) != e12
    | e12 = op1(e12,e10) ),
    inference(subst,[],[refute_11_5:[bind(X,$fot(op1(e12,e10))),bind(Y,$fot(e12))]]) ).

cnf(refute_11_251,plain,
    op1(e12,e10) != e12,
    inference(resolve,[$cnf( $equal(e12,op1(e12,e10)) )],[refute_11_250,refute_11_249]) ).

cnf(refute_11_252,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e10) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_11_245,refute_11_251]) ).

cnf(refute_11_253,plain,
    ( h4(op1(e12,e10)) != e20
    | op1(e12,e10) != e10
    | h4(e10) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e10)),e20) ),[0,0],$fot(e10)]]) ).

cnf(refute_11_254,plain,
    ( h4(op1(e12,e10)) != e20
    | h4(e10) = e20
    | op1(e12,e10) = e11 ),
    inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_11_252,refute_11_253]) ).

cnf(refute_11_255,plain,
    ( h4(e10) = e20
    | op1(e12,e10) = e11 ),
    inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),e20) )],[refute_11_239,refute_11_254]) ).

cnf(refute_11_256,plain,
    ( h4(e10) != e20
    | h4(e10) != e22
    | e22 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e10),e20) ),[0],$fot(e22)]]) ).

cnf(refute_11_257,plain,
    ( h4(e10) != e20
    | e22 = e20 ),
    inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_11_229,refute_11_256]) ).

cnf(refute_11_258,plain,
    ( e22 = e20
    | op1(e12,e10) = e11 ),
    inference(resolve,[$cnf( $equal(h4(e10),e20) )],[refute_11_255,refute_11_257]) ).

cnf(refute_11_259,plain,
    ( e22 != e20
    | e20 = e22 ),
    inference(subst,[],[refute_11_5:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).

cnf(refute_11_260,plain,
    e22 != e20,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_11_259,refute_11_218]) ).

cnf(refute_11_261,plain,
    op1(e12,e10) = e11,
    inference(resolve,[$cnf( $equal(e22,e20) )],[refute_11_258,refute_11_260]) ).

cnf(refute_11_262,plain,
    ( op1(e12,e10) != e10
    | op1(e12,e10) != e11
    | e11 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e10) ),[0],$fot(e11)]]) ).

cnf(refute_11_263,plain,
    ( op1(e12,e10) != e10
    | e11 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_11_261,refute_11_262]) ).

cnf(refute_11_264,plain,
    ( e11 = e10
    | e12 = e10
    | op1(e11,e10) = e10
    | op1(e13,e10) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_11_54,refute_11_263]) ).

cnf(refute_11_265,plain,
    ( e12 = e10
    | op1(e11,e10) = e10
    | op1(e13,e10) = e10 ),
    inference(resolve,[$cnf( $equal(e11,e10) )],[refute_11_264,refute_11_45]) ).

cnf(refute_11_266,plain,
    ( e12 != e10
    | e10 = e12 ),
    inference(subst,[],[refute_11_5:[bind(X,$fot(e12)),bind(Y,$fot(e10))]]) ).

cnf(refute_11_267,plain,
    e12 != e10,
    inference(resolve,[$cnf( $equal(e10,e12) )],[refute_11_266,refute_11_50]) ).

cnf(refute_11_268,plain,
    ( op1(e11,e10) = e10
    | op1(e13,e10) = e10 ),
    inference(resolve,[$cnf( $equal(e12,e10) )],[refute_11_265,refute_11_267]) ).

cnf(refute_11_269,plain,
    op1(e11,e10) != op1(e11,e11),
    inference(canonicalize,[],[normalize_11_53]) ).

cnf(refute_11_270,plain,
    ( op1(e11,e10) != e10
    | op1(e11,e11) != e10
    | op1(e11,e10) = op1(e11,e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e10),op1(e11,e11)) ),[1],$fot(e10)]]) ).

cnf(refute_11_271,plain,
    ( op1(e11,e10) != e10
    | op1(e11,e10) = op1(e11,e11) ),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_11_46,refute_11_270]) ).

cnf(refute_11_272,plain,
    op1(e11,e10) != e10,
    inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e11,e11)) )],[refute_11_271,refute_11_269]) ).

cnf(refute_11_273,plain,
    op1(e13,e10) = e10,
    inference(resolve,[$cnf( $equal(op1(e11,e10),e10) )],[refute_11_268,refute_11_272]) ).

cnf(refute_11_274,plain,
    op1(e13,e10) != op1(e13,e12),
    inference(canonicalize,[],[normalize_11_54]) ).

cnf(refute_11_275,plain,
    e10 = op1(op1(e12,e12),e12),
    inference(canonicalize,[],[normalize_11_55]) ).

cnf(refute_11_276,plain,
    op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
    introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).

cnf(refute_11_277,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
    | op1(op1(e12,e12),e12) = op1(e13,e12) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).

cnf(refute_11_278,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),e12) = op1(e13,e12) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_11_276,refute_11_277]) ).

cnf(refute_11_279,plain,
    op1(op1(e12,e12),e12) = op1(e13,e12),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_11_7,refute_11_278]) ).

cnf(refute_11_280,plain,
    ( e10 != op1(op1(e12,e12),e12)
    | op1(op1(e12,e12),e12) != op1(e13,e12)
    | e10 = op1(e13,e12) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(op1(e12,e12),e12))]]) ).

cnf(refute_11_281,plain,
    ( e10 != op1(op1(e12,e12),e12)
    | e10 = op1(e13,e12) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_11_279,refute_11_280]) ).

cnf(refute_11_282,plain,
    e10 = op1(e13,e12),
    inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),e12)) )],[refute_11_275,refute_11_281]) ).

cnf(refute_11_283,plain,
    ( e10 != op1(e13,e12)
    | op1(e13,e12) = e10 ),
    inference(subst,[],[refute_11_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).

cnf(refute_11_284,plain,
    op1(e13,e12) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_11_282,refute_11_283]) ).

cnf(refute_11_285,plain,
    ( op1(e13,e10) != e10
    | op1(e13,e12) != e10
    | op1(e13,e10) = op1(e13,e12) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op1(e13,e10),op1(e13,e12)) ),[1],$fot(e10)]]) ).

cnf(refute_11_286,plain,
    ( op1(e13,e10) != e10
    | op1(e13,e10) = op1(e13,e12) ),
    inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_11_284,refute_11_285]) ).

cnf(refute_11_287,plain,
    op1(e13,e10) != e10,
    inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e13,e12)) )],[refute_11_286,refute_11_274]) ).

cnf(refute_11_288,plain,
    $false,
    inference(resolve,[$cnf( $equal(op1(e13,e10),e10) )],[refute_11_273,refute_11_287]) ).

fof(negate_12_0,plain,
    ~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
            & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
            & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
            & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
            & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
            & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
            & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
            & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
            & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
            & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
            & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
            & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
            & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
            & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
            & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
            & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
            & ( h1(e10) = e20
              | h1(e11) = e20
              | h1(e12) = e20
              | h1(e13) = e20 )
            & ( h1(e10) = e21
              | h1(e11) = e21
              | h1(e12) = e21
              | h1(e13) = e21 )
            & ( h1(e10) = e22
              | h1(e11) = e22
              | h1(e12) = e22
              | h1(e13) = e22 )
            & ( h1(e10) = e23
              | h1(e11) = e23
              | h1(e12) = e23
              | h1(e13) = e23 ) )
        & ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
            & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
            & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
            & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
            & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
            & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
            & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
            & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
            & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
            & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
            & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
            & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
            & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
            & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
            & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
            & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
            & ( h2(e10) = e20
              | h2(e11) = e20
              | h2(e12) = e20
              | h2(e13) = e20 )
            & ( h2(e10) = e21
              | h2(e11) = e21
              | h2(e12) = e21
              | h2(e13) = e21 )
            & ( h2(e10) = e22
              | h2(e11) = e22
              | h2(e12) = e22
              | h2(e13) = e22 )
            & ( h2(e10) = e23
              | h2(e11) = e23
              | h2(e12) = e23
              | h2(e13) = e23 ) )
        & ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
            & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
            & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
            & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
            & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
            & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
            & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
            & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
            & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
            & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
            & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
            & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
            & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
            & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
            & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
            & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
            & ( h3(e10) = e20
              | h3(e11) = e20
              | h3(e12) = e20
              | h3(e13) = e20 )
            & ( h3(e10) = e21
              | h3(e11) = e21
              | h3(e12) = e21
              | h3(e13) = e21 )
            & ( h3(e10) = e22
              | h3(e11) = e22
              | h3(e12) = e22
              | h3(e13) = e22 )
            & ( h3(e10) = e23
              | h3(e11) = e23
              | h3(e12) = e23
              | h3(e13) = e23 ) )
        & h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
        & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
        & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
        & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
        & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
        & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
        & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
        & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
        & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
        & h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) )
     => h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
    inference(negate,[],[subgoal_12]) ).

fof(normalize_12_0,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e21) = e20
      | op2(e20,e22) = e20
      | op2(e20,e23) = e20 )
    & ( op2(e20,e20) = e20
      | op2(e21,e20) = e20
      | op2(e22,e20) = e20
      | op2(e23,e20) = e20 )
    & ( op2(e20,e20) = e21
      | op2(e20,e21) = e21
      | op2(e20,e22) = e21
      | op2(e20,e23) = e21 )
    & ( op2(e20,e20) = e21
      | op2(e21,e20) = e21
      | op2(e22,e20) = e21
      | op2(e23,e20) = e21 )
    & ( op2(e20,e20) = e22
      | op2(e20,e21) = e22
      | op2(e20,e22) = e22
      | op2(e20,e23) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e20) = e22
      | op2(e22,e20) = e22
      | op2(e23,e20) = e22 )
    & ( op2(e20,e20) = e23
      | op2(e20,e21) = e23
      | op2(e20,e22) = e23
      | op2(e20,e23) = e23 )
    & ( op2(e20,e20) = e23
      | op2(e21,e20) = e23
      | op2(e22,e20) = e23
      | op2(e23,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e21,e21) = e20
      | op2(e22,e21) = e20
      | op2(e23,e21) = e20 )
    & ( op2(e20,e21) = e21
      | op2(e21,e21) = e21
      | op2(e22,e21) = e21
      | op2(e23,e21) = e21 )
    & ( op2(e20,e21) = e22
      | op2(e21,e21) = e22
      | op2(e22,e21) = e22
      | op2(e23,e21) = e22 )
    & ( op2(e20,e21) = e23
      | op2(e21,e21) = e23
      | op2(e22,e21) = e23
      | op2(e23,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e21,e22) = e20
      | op2(e22,e22) = e20
      | op2(e23,e22) = e20 )
    & ( op2(e20,e22) = e21
      | op2(e21,e22) = e21
      | op2(e22,e22) = e21
      | op2(e23,e22) = e21 )
    & ( op2(e20,e22) = e22
      | op2(e21,e22) = e22
      | op2(e22,e22) = e22
      | op2(e23,e22) = e22 )
    & ( op2(e20,e22) = e23
      | op2(e21,e22) = e23
      | op2(e22,e22) = e23
      | op2(e23,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e21,e23) = e20
      | op2(e22,e23) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e23) = e21
      | op2(e21,e23) = e21
      | op2(e22,e23) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e20,e23) = e22
      | op2(e21,e23) = e22
      | op2(e22,e23) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e20,e23) = e23
      | op2(e21,e23) = e23
      | op2(e22,e23) = e23
      | op2(e23,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e21) = e20
      | op2(e21,e22) = e20
      | op2(e21,e23) = e20 )
    & ( op2(e21,e20) = e21
      | op2(e21,e21) = e21
      | op2(e21,e22) = e21
      | op2(e21,e23) = e21 )
    & ( op2(e21,e20) = e22
      | op2(e21,e21) = e22
      | op2(e21,e22) = e22
      | op2(e21,e23) = e22 )
    & ( op2(e21,e20) = e23
      | op2(e21,e21) = e23
      | op2(e21,e22) = e23
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e21) = e20
      | op2(e22,e22) = e20
      | op2(e22,e23) = e20 )
    & ( op2(e22,e20) = e21
      | op2(e22,e21) = e21
      | op2(e22,e22) = e21
      | op2(e22,e23) = e21 )
    & ( op2(e22,e20) = e22
      | op2(e22,e21) = e22
      | op2(e22,e22) = e22
      | op2(e22,e23) = e22 )
    & ( op2(e22,e20) = e23
      | op2(e22,e21) = e23
      | op2(e22,e22) = e23
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e21) = e20
      | op2(e23,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e23,e20) = e21
      | op2(e23,e21) = e21
      | op2(e23,e22) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e23,e20) = e22
      | op2(e23,e21) = e22
      | op2(e23,e22) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e23,e20) = e23
      | op2(e23,e21) = e23
      | op2(e23,e22) = e23
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax4]) ).

fof(normalize_12_1,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e22,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(conjunct,[],[normalize_12_0]) ).

fof(normalize_12_2,plain,
    ( e20 = op2(op2(e22,e22),e22)
    & e21 = op2(op2(e22,e22),op2(e22,e22))
    & e23 = op2(e22,e22) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_12_3,plain,
    e23 = op2(e22,e22),
    inference(conjunct,[],[normalize_12_2]) ).

fof(normalize_12_4,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_12_5,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_12_4]) ).

fof(normalize_12_6,plain,
    ( ( op2(e20,e20) = e20
      | op2(e20,e20) = e21
      | op2(e20,e20) = e22
      | op2(e20,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e20,e21) = e21
      | op2(e20,e21) = e22
      | op2(e20,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e20,e22) = e21
      | op2(e20,e22) = e22
      | op2(e20,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e20,e23) = e21
      | op2(e20,e23) = e22
      | op2(e20,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e20) = e21
      | op2(e21,e20) = e22
      | op2(e21,e20) = e23 )
    & ( op2(e21,e21) = e20
      | op2(e21,e21) = e21
      | op2(e21,e21) = e22
      | op2(e21,e21) = e23 )
    & ( op2(e21,e22) = e20
      | op2(e21,e22) = e21
      | op2(e21,e22) = e22
      | op2(e21,e22) = e23 )
    & ( op2(e21,e23) = e20
      | op2(e21,e23) = e21
      | op2(e21,e23) = e22
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e20) = e21
      | op2(e22,e20) = e22
      | op2(e22,e20) = e23 )
    & ( op2(e22,e21) = e20
      | op2(e22,e21) = e21
      | op2(e22,e21) = e22
      | op2(e22,e21) = e23 )
    & ( op2(e22,e22) = e20
      | op2(e22,e22) = e21
      | op2(e22,e22) = e22
      | op2(e22,e22) = e23 )
    & ( op2(e22,e23) = e20
      | op2(e22,e23) = e21
      | op2(e22,e23) = e22
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e20) = e21
      | op2(e23,e20) = e22
      | op2(e23,e20) = e23 )
    & ( op2(e23,e21) = e20
      | op2(e23,e21) = e21
      | op2(e23,e21) = e22
      | op2(e23,e21) = e23 )
    & ( op2(e23,e22) = e20
      | op2(e23,e22) = e21
      | op2(e23,e22) = e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) = e20
      | op2(e23,e23) = e21
      | op2(e23,e23) = e22
      | op2(e23,e23) = e23 ) ),
    inference(canonicalize,[],[ax3]) ).

fof(normalize_12_7,plain,
    ( op2(e21,e22) = e20
    | op2(e21,e22) = e21
    | op2(e21,e22) = e22
    | op2(e21,e22) = e23 ),
    inference(conjunct,[],[normalize_12_6]) ).

fof(normalize_12_8,plain,
    ( op2(e20,e20) != op2(e20,e21)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e20) != op2(e21,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e22) != op2(e23,e23) ),
    inference(canonicalize,[],[ax6]) ).

fof(normalize_12_9,plain,
    op2(e21,e22) != op2(e22,e22),
    inference(conjunct,[],[normalize_12_8]) ).

fof(normalize_12_10,plain,
    op2(e21,e22) != op2(e23,e22),
    inference(conjunct,[],[normalize_12_8]) ).

fof(normalize_12_11,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(conjunct,[],[normalize_12_2]) ).

fof(normalize_12_12,plain,
    op2(e21,e22) != op2(e21,e23),
    inference(conjunct,[],[normalize_12_8]) ).

fof(normalize_12_13,plain,
    ( h4(e10) = op2(op2(e23,e23),e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = e23
    & h4(e13) = op2(e23,e23) ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_12_14,plain,
    h4(e10) = op2(op2(e23,e23),e23),
    inference(conjunct,[],[normalize_12_13]) ).

fof(normalize_12_15,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(conjunct,[],[normalize_12_2]) ).

fof(normalize_12_16,plain,
    h4(e13) = op2(e23,e23),
    inference(conjunct,[],[normalize_12_13]) ).

fof(normalize_12_17,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_18,plain,
    ( h1(e10) = op2(op2(e20,e20),e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = e20
    & h1(e13) = op2(e20,e20) ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_12_19,plain,
    h1(e12) = e20,
    inference(conjunct,[],[normalize_12_18]) ).

fof(normalize_12_20,plain,
    ( h2(e10) = op2(op2(e21,e21),e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = e21
    & h2(e13) = op2(e21,e21) ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_12_21,plain,
    h2(e12) = e21,
    inference(conjunct,[],[normalize_12_20]) ).

fof(normalize_12_22,plain,
    ( h3(e10) = op2(op2(e22,e22),e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = e22
    & h3(e13) = op2(e22,e22) ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_12_23,plain,
    h3(e12) = e22,
    inference(conjunct,[],[normalize_12_22]) ).

fof(normalize_12_24,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_17,normalize_12_19,normalize_12_21,normalize_12_23]) ).

fof(normalize_12_25,plain,
    h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
    inference(conjunct,[],[normalize_12_24]) ).

fof(normalize_12_26,plain,
    h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
    inference(conjunct,[],[normalize_12_20]) ).

fof(normalize_12_27,plain,
    h2(e13) = op2(e21,e21),
    inference(conjunct,[],[normalize_12_20]) ).

fof(normalize_12_28,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_12_13]) ).

fof(normalize_12_29,plain,
    h1(e13) = op2(e20,e20),
    inference(conjunct,[],[normalize_12_18]) ).

fof(normalize_12_30,plain,
    ( ( ( op2(e20,e20) != e21
        & op2(e21,e21) = e20 )
      | ( op2(e20,e20) != e22
        & op2(e22,e22) = e20 )
      | ( op2(e20,e20) != e23
        & op2(e23,e23) = e20 ) )
    & ( ( op2(e21,e21) != e20
        & op2(e20,e20) = e21 )
      | ( op2(e21,e21) != e22
        & op2(e22,e22) = e21 )
      | ( op2(e21,e21) != e23
        & op2(e23,e23) = e21 ) )
    & ( ( op2(e22,e22) != e20
        & op2(e20,e20) = e22 )
      | ( op2(e22,e22) != e21
        & op2(e21,e21) = e22 )
      | ( op2(e22,e22) != e23
        & op2(e23,e23) = e22 ) )
    & ( ( op2(e23,e23) != e20
        & op2(e20,e20) = e23 )
      | ( op2(e23,e23) != e21
        & op2(e21,e21) = e23 )
      | ( op2(e23,e23) != e22
        & op2(e22,e22) = e23 ) ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_12_31,plain,
    ( ( op2(e20,e20) != e21
      & op2(e21,e21) = e20 )
    | ( op2(e20,e20) != e22
      & op2(e22,e22) = e20 )
    | ( op2(e20,e20) != e23
      & op2(e23,e23) = e20 ) ),
    inference(conjunct,[],[normalize_12_30]) ).

fof(normalize_12_32,plain,
    ( ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e20,e20) != e23 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e23
      | op2(e22,e22) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e20) != e23
      | op2(e21,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e21) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e21) = e20
      | op2(e22,e22) = e20 )
    & ( op2(e21,e21) = e20
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 ) ),
    inference(clausify,[],[normalize_12_31]) ).

fof(normalize_12_33,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(conjunct,[],[normalize_12_32]) ).

fof(normalize_12_34,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_12_4]) ).

fof(normalize_12_35,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_12_4]) ).

fof(normalize_12_36,plain,
    ( ( op2(e22,e22) != e20
      & op2(e20,e20) = e22 )
    | ( op2(e22,e22) != e21
      & op2(e21,e21) = e22 )
    | ( op2(e22,e22) != e23
      & op2(e23,e23) = e22 ) ),
    inference(conjunct,[],[normalize_12_30]) ).

fof(normalize_12_37,plain,
    ( ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e23
      | op2(e21,e21) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e22) != e23
      | op2(e20,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e20,e20) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e20,e20) = e22
      | op2(e21,e21) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 ) ),
    inference(clausify,[],[normalize_12_36]) ).

fof(normalize_12_38,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(conjunct,[],[normalize_12_37]) ).

fof(normalize_12_39,plain,
    e20 != e22,
    inference(conjunct,[],[normalize_12_4]) ).

fof(normalize_12_40,plain,
    ( ( ( op1(e10,e10) != e11
        & op1(e11,e11) = e10 )
      | ( op1(e10,e10) != e12
        & op1(e12,e12) = e10 )
      | ( op1(e10,e10) != e13
        & op1(e13,e13) = e10 ) )
    & ( ( op1(e11,e11) != e10
        & op1(e10,e10) = e11 )
      | ( op1(e11,e11) != e12
        & op1(e12,e12) = e11 )
      | ( op1(e11,e11) != e13
        & op1(e13,e13) = e11 ) )
    & ( ( op1(e12,e12) != e10
        & op1(e10,e10) = e12 )
      | ( op1(e12,e12) != e11
        & op1(e11,e11) = e12 )
      | ( op1(e12,e12) != e13
        & op1(e13,e13) = e12 ) )
    & ( ( op1(e13,e13) != e10
        & op1(e10,e10) = e13 )
      | ( op1(e13,e13) != e11
        & op1(e11,e11) = e13 )
      | ( op1(e13,e13) != e12
        & op1(e12,e12) = e13 ) ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_12_41,plain,
    ( ( op1(e10,e10) != e11
      & op1(e11,e11) = e10 )
    | ( op1(e10,e10) != e12
      & op1(e12,e12) = e10 )
    | ( op1(e10,e10) != e13
      & op1(e13,e13) = e10 ) ),
    inference(conjunct,[],[normalize_12_40]) ).

fof(normalize_12_42,plain,
    ( ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e10,e10) != e13 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e13
      | op1(e12,e12) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e10) != e13
      | op1(e11,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e11) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e11) = e10
      | op1(e12,e12) = e10 )
    & ( op1(e11,e11) = e10
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 ) ),
    inference(clausify,[],[normalize_12_41]) ).

fof(normalize_12_43,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(conjunct,[],[normalize_12_42]) ).

fof(normalize_12_44,plain,
    ( e10 = op1(op1(e12,e12),e12)
    & e11 = op1(op1(e12,e12),op1(e12,e12))
    & e13 = op1(e12,e12) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_12_45,plain,
    e13 = op1(e12,e12),
    inference(conjunct,[],[normalize_12_44]) ).

fof(normalize_12_46,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_12_47,plain,
    e10 != e13,
    inference(conjunct,[],[normalize_12_46]) ).

fof(normalize_12_48,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(conjunct,[],[normalize_12_44]) ).

fof(normalize_12_49,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_12_46]) ).

fof(normalize_12_50,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_12_4]) ).

fof(normalize_12_51,plain,
    op2(e20,e20) != op2(e20,e22),
    inference(conjunct,[],[normalize_12_8]) ).

cnf(refute_12_0,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e22,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(canonicalize,[],[normalize_12_1]) ).

cnf(refute_12_1,plain,
    e23 = op2(e22,e22),
    inference(canonicalize,[],[normalize_12_3]) ).

cnf(refute_12_2,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_12_3,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_12_4,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_12_2,refute_12_3]) ).

cnf(refute_12_5,plain,
    ( e23 != op2(e22,e22)
    | op2(e22,e22) = e23 ),
    inference(subst,[],[refute_12_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_12_6,plain,
    op2(e22,e22) = e23,
    inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_12_1,refute_12_5]) ).

cnf(refute_12_7,plain,
    ( op2(e22,e22) != e22
    | op2(e22,e22) != e23
    | e23 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(e23)]]) ).

cnf(refute_12_8,plain,
    ( op2(e22,e22) != e22
    | e23 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_6,refute_12_7]) ).

cnf(refute_12_9,plain,
    ( e23 = e22
    | op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_12_0,refute_12_8]) ).

cnf(refute_12_10,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_12_5]) ).

cnf(refute_12_11,plain,
    ( e23 != e22
    | e22 = e23 ),
    inference(subst,[],[refute_12_4:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).

cnf(refute_12_12,plain,
    e23 != e22,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_12_11,refute_12_10]) ).

cnf(refute_12_13,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(resolve,[$cnf( $equal(e23,e22) )],[refute_12_9,refute_12_12]) ).

cnf(refute_12_14,plain,
    ( op2(e21,e22) = e20
    | op2(e21,e22) = e21
    | op2(e21,e22) = e22
    | op2(e21,e22) = e23 ),
    inference(canonicalize,[],[normalize_12_7]) ).

cnf(refute_12_15,plain,
    op2(e21,e22) != op2(e22,e22),
    inference(canonicalize,[],[normalize_12_9]) ).

cnf(refute_12_16,plain,
    ( op2(e21,e22) != e23
    | op2(e22,e22) != e23
    | op2(e21,e22) = op2(e22,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).

cnf(refute_12_17,plain,
    ( op2(e21,e22) != e23
    | op2(e21,e22) = op2(e22,e22) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_6,refute_12_16]) ).

cnf(refute_12_18,plain,
    op2(e21,e22) != e23,
    inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_12_17,refute_12_15]) ).

cnf(refute_12_19,plain,
    ( op2(e21,e22) = e20
    | op2(e21,e22) = e21
    | op2(e21,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_12_14,refute_12_18]) ).

cnf(refute_12_20,plain,
    op2(e21,e22) != op2(e23,e22),
    inference(canonicalize,[],[normalize_12_10]) ).

cnf(refute_12_21,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(canonicalize,[],[normalize_12_11]) ).

cnf(refute_12_22,plain,
    op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).

cnf(refute_12_23,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).

cnf(refute_12_24,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),e22) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_12_22,refute_12_23]) ).

cnf(refute_12_25,plain,
    op2(op2(e22,e22),e22) = op2(e23,e22),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_6,refute_12_24]) ).

cnf(refute_12_26,plain,
    ( e20 != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) != op2(e23,e22)
    | e20 = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).

cnf(refute_12_27,plain,
    ( e20 != op2(op2(e22,e22),e22)
    | e20 = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_12_25,refute_12_26]) ).

cnf(refute_12_28,plain,
    e20 = op2(e23,e22),
    inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_12_21,refute_12_27]) ).

cnf(refute_12_29,plain,
    ( e20 != op2(e23,e22)
    | op2(e23,e22) = e20 ),
    inference(subst,[],[refute_12_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).

cnf(refute_12_30,plain,
    op2(e23,e22) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_12_28,refute_12_29]) ).

cnf(refute_12_31,plain,
    ( op2(e21,e22) != e20
    | op2(e23,e22) != e20
    | op2(e21,e22) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).

cnf(refute_12_32,plain,
    ( op2(e21,e22) != e20
    | op2(e21,e22) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_12_30,refute_12_31]) ).

cnf(refute_12_33,plain,
    op2(e21,e22) != e20,
    inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_12_32,refute_12_20]) ).

cnf(refute_12_34,plain,
    ( op2(e21,e22) = e21
    | op2(e21,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_12_19,refute_12_33]) ).

cnf(refute_12_35,plain,
    op2(e21,e22) != op2(e21,e23),
    inference(canonicalize,[],[normalize_12_12]) ).

cnf(refute_12_36,plain,
    h4(e10) = op2(op2(e23,e23),e23),
    inference(canonicalize,[],[normalize_12_14]) ).

cnf(refute_12_37,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(canonicalize,[],[normalize_12_15]) ).

cnf(refute_12_38,plain,
    h4(e13) = op2(e23,e23),
    inference(canonicalize,[],[normalize_12_16]) ).

cnf(refute_12_39,plain,
    ( h4(e13) != op2(e23,e23)
    | op2(e23,e23) = h4(e13) ),
    inference(subst,[],[refute_12_4:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_12_40,plain,
    op2(e23,e23) = h4(e13),
    inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_12_38,refute_12_39]) ).

cnf(refute_12_41,plain,
    op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).

cnf(refute_12_42,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).

cnf(refute_12_43,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_12_41,refute_12_42]) ).

cnf(refute_12_44,plain,
    op2(e23,op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_6,refute_12_43]) ).

cnf(refute_12_45,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_12_46,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).

cnf(refute_12_47,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_12_45,refute_12_46]) ).

cnf(refute_12_48,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_6,refute_12_47]) ).

cnf(refute_12_49,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_12_50,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_12_4,refute_12_49]) ).

cnf(refute_12_51,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(subst,[],[refute_12_50:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).

cnf(refute_12_52,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_12_48,refute_12_51]) ).

cnf(refute_12_53,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_12_44,refute_12_52]) ).

cnf(refute_12_54,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(subst,[],[refute_12_50:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).

cnf(refute_12_55,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_12_53,refute_12_54]) ).

cnf(refute_12_56,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_12_40,refute_12_55]) ).

cnf(refute_12_57,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
    | e21 = h4(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_12_58,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | e21 = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_12_56,refute_12_57]) ).

cnf(refute_12_59,plain,
    e21 = h4(e13),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_12_37,refute_12_58]) ).

cnf(refute_12_60,plain,
    ( e21 != h4(e13)
    | h4(e13) = e21 ),
    inference(subst,[],[refute_12_4:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).

cnf(refute_12_61,plain,
    h4(e13) = e21,
    inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_12_59,refute_12_60]) ).

cnf(refute_12_62,plain,
    ( h4(e13) != e21
    | op2(e23,e23) != h4(e13)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_12_50:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).

cnf(refute_12_63,plain,
    ( h4(e13) != e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_12_40,refute_12_62]) ).

cnf(refute_12_64,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_12_61,refute_12_63]) ).

cnf(refute_12_65,plain,
    op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).

cnf(refute_12_66,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
    | op2(op2(e23,e23),e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).

cnf(refute_12_67,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_12_65,refute_12_66]) ).

cnf(refute_12_68,plain,
    op2(op2(e23,e23),e23) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_12_64,refute_12_67]) ).

cnf(refute_12_69,plain,
    ( h4(e10) != op2(op2(e23,e23),e23)
    | op2(op2(e23,e23),e23) != op2(e21,e23)
    | h4(e10) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).

cnf(refute_12_70,plain,
    ( h4(e10) != op2(op2(e23,e23),e23)
    | h4(e10) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_12_68,refute_12_69]) ).

cnf(refute_12_71,plain,
    h4(e10) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_12_36,refute_12_70]) ).

cnf(refute_12_72,plain,
    ( h4(e10) != op2(e21,e23)
    | op2(e21,e23) = h4(e10) ),
    inference(subst,[],[refute_12_4:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_12_73,plain,
    op2(e21,e23) = h4(e10),
    inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_12_71,refute_12_72]) ).

cnf(refute_12_74,plain,
    ( op2(e21,e22) != h4(e10)
    | op2(e21,e23) != h4(e10)
    | op2(e21,e22) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).

cnf(refute_12_75,plain,
    ( op2(e21,e22) != h4(e10)
    | op2(e21,e22) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_12_73,refute_12_74]) ).

cnf(refute_12_76,plain,
    op2(e21,e22) != h4(e10),
    inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e21,e23)) )],[refute_12_75,refute_12_35]) ).

cnf(refute_12_77,plain,
    h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
    inference(canonicalize,[],[normalize_12_25]) ).

cnf(refute_12_78,plain,
    h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
    inference(canonicalize,[],[normalize_12_26]) ).

cnf(refute_12_79,plain,
    h2(e13) = op2(e21,e21),
    inference(canonicalize,[],[normalize_12_27]) ).

cnf(refute_12_80,plain,
    ( h2(e13) != op2(e21,e21)
    | op2(e21,e21) = h2(e13) ),
    inference(subst,[],[refute_12_4:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_12_81,plain,
    op2(e21,e21) = h2(e13),
    inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_12_79,refute_12_80]) ).

cnf(refute_12_82,plain,
    op2(h2(e13),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
    introduced(tautology,[refl,[$fot(op2(h2(e13),op2(e21,e21)))]]) ).

cnf(refute_12_83,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(h2(e13),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
    | op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).

cnf(refute_12_84,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_12_82,refute_12_83]) ).

cnf(refute_12_85,plain,
    op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_81,refute_12_84]) ).

cnf(refute_12_86,plain,
    op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
    introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).

cnf(refute_12_87,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e13))]]) ).

cnf(refute_12_88,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_12_86,refute_12_87]) ).

cnf(refute_12_89,plain,
    op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_81,refute_12_88]) ).

cnf(refute_12_90,plain,
    ( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
    | op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    inference(subst,[],[refute_12_50:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e13),op2(e21,e21)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).

cnf(refute_12_91,plain,
    ( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_12_89,refute_12_90]) ).

cnf(refute_12_92,plain,
    op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_12_85,refute_12_91]) ).

cnf(refute_12_93,plain,
    ( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
    | op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),h2(e13))
    | h2(e11) = op2(h2(e13),h2(e13)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e13),h2(e13))) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).

cnf(refute_12_94,plain,
    ( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
    | h2(e11) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_12_92,refute_12_93]) ).

cnf(refute_12_95,plain,
    h2(e11) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(h2(e11),op2(op2(e21,e21),op2(e21,e21))) )],[refute_12_78,refute_12_94]) ).

cnf(refute_12_96,plain,
    ( h2(e11) != op2(h2(e13),h2(e13))
    | op2(h2(e13),h2(e13)) = h2(e11) ),
    inference(subst,[],[refute_12_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(h2(e13),h2(e13))))]]) ).

cnf(refute_12_97,plain,
    op2(h2(e13),h2(e13)) = h2(e11),
    inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_12_95,refute_12_96]) ).

cnf(refute_12_98,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_12_28]) ).

cnf(refute_12_99,plain,
    op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).

cnf(refute_12_100,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
    | op2(e23,e23) != e21
    | op2(e21,op2(e23,e23)) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).

cnf(refute_12_101,plain,
    ( op2(e23,e23) != e21
    | op2(e21,op2(e23,e23)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_12_99,refute_12_100]) ).

cnf(refute_12_102,plain,
    op2(e21,op2(e23,e23)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_12_64,refute_12_101]) ).

cnf(refute_12_103,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_12_104,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,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(e21)]]) ).

cnf(refute_12_105,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_12_103,refute_12_104]) ).

cnf(refute_12_106,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_12_64,refute_12_105]) ).

cnf(refute_12_107,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
    inference(subst,[],[refute_12_50:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).

cnf(refute_12_108,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_12_106,refute_12_107]) ).

cnf(refute_12_109,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_12_102,refute_12_108]) ).

cnf(refute_12_110,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
    inference(subst,[],[refute_12_50:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).

cnf(refute_12_111,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_12_109,refute_12_110]) ).

cnf(refute_12_112,plain,
    op2(op2(e23,e23),op2(e23,e23)) = h2(e13),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_81,refute_12_111]) ).

cnf(refute_12_113,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != h2(e13)
    | h4(e11) = h2(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h2(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_12_114,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | h4(e11) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e13)) )],[refute_12_112,refute_12_113]) ).

cnf(refute_12_115,plain,
    h4(e11) = h2(e13),
    inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_12_98,refute_12_114]) ).

cnf(refute_12_116,plain,
    op2(h2(e13),h4(e11)) = op2(h2(e13),h4(e11)),
    introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e11)))]]) ).

cnf(refute_12_117,plain,
    ( h4(e11) != h2(e13)
    | op2(h2(e13),h4(e11)) != op2(h2(e13),h4(e11))
    | op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h4(e11))) ),[1,1],$fot(h2(e13))]]) ).

cnf(refute_12_118,plain,
    ( h4(e11) != h2(e13)
    | op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h4(e11))) )],[refute_12_116,refute_12_117]) ).

cnf(refute_12_119,plain,
    op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_12_115,refute_12_118]) ).

cnf(refute_12_120,plain,
    op2(h4(e11),h4(e11)) = op2(h4(e11),h4(e11)),
    introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e11)))]]) ).

cnf(refute_12_121,plain,
    ( h4(e11) != h2(e13)
    | op2(h4(e11),h4(e11)) != op2(h4(e11),h4(e11))
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) ),[1,0],$fot(h2(e13))]]) ).

cnf(refute_12_122,plain,
    ( h4(e11) != h2(e13)
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) )],[refute_12_120,refute_12_121]) ).

cnf(refute_12_123,plain,
    op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)),
    inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_12_115,refute_12_122]) ).

cnf(refute_12_124,plain,
    ( op2(h2(e13),h4(e11)) != op2(h2(e13),h2(e13))
    | op2(h4(e11),h4(e11)) != op2(h2(e13),h4(e11))
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)) ),
    inference(subst,[],[refute_12_50:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(h2(e13),h4(e11)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).

cnf(refute_12_125,plain,
    ( op2(h2(e13),h4(e11)) != op2(h2(e13),h2(e13))
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h2(e13),h4(e11))) )],[refute_12_123,refute_12_124]) ).

cnf(refute_12_126,plain,
    op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h2(e13))) )],[refute_12_119,refute_12_125]) ).

cnf(refute_12_127,plain,
    ( op2(h2(e13),h2(e13)) != h2(e11)
    | op2(h4(e11),h4(e11)) != op2(h2(e13),h2(e13))
    | op2(h4(e11),h4(e11)) = h2(e11) ),
    inference(subst,[],[refute_12_50:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(h2(e13),h2(e13)))),bind(Z,$fot(h2(e11)))]]) ).

cnf(refute_12_128,plain,
    ( op2(h2(e13),h2(e13)) != h2(e11)
    | op2(h4(e11),h4(e11)) = h2(e11) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h2(e13),h2(e13))) )],[refute_12_126,refute_12_127]) ).

cnf(refute_12_129,plain,
    op2(h4(e11),h4(e11)) = h2(e11),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),h2(e11)) )],[refute_12_97,refute_12_128]) ).

cnf(refute_12_130,plain,
    ( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | op2(h4(e11),h4(e11)) != h2(e11)
    | h4(op1(e11,e11)) = h2(e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),h2(e11)) ),[0],$fot(op2(h4(e11),h4(e11)))]]) ).

cnf(refute_12_131,plain,
    ( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | h4(op1(e11,e11)) = h2(e11) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),h2(e11)) )],[refute_12_129,refute_12_130]) ).

cnf(refute_12_132,plain,
    h4(op1(e11,e11)) = h2(e11),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_12_77,refute_12_131]) ).

cnf(refute_12_133,plain,
    h1(e13) = op2(e20,e20),
    inference(canonicalize,[],[normalize_12_29]) ).

cnf(refute_12_134,plain,
    ( h1(e13) != op2(e20,e20)
    | op2(e20,e20) = h1(e13) ),
    inference(subst,[],[refute_12_4:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_12_135,plain,
    op2(e20,e20) = h1(e13),
    inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_12_133,refute_12_134]) ).

cnf(refute_12_136,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(canonicalize,[],[normalize_12_33]) ).

cnf(refute_12_137,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).

cnf(refute_12_138,plain,
    ( op2(e21,e21) != e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_81,refute_12_137]) ).

cnf(refute_12_139,plain,
    ( h2(e13) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_12_136,refute_12_138]) ).

cnf(refute_12_140,plain,
    ( op2(e22,e22) != e20
    | op2(e22,e22) != e23
    | e23 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).

cnf(refute_12_141,plain,
    ( op2(e22,e22) != e20
    | e23 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_6,refute_12_140]) ).

cnf(refute_12_142,plain,
    ( e23 = e20
    | h2(e13) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_12_139,refute_12_141]) ).

cnf(refute_12_143,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e23) != h4(e13)
    | h4(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(h4(e13))]]) ).

cnf(refute_12_144,plain,
    ( op2(e23,e23) != e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_12_40,refute_12_143]) ).

cnf(refute_12_145,plain,
    ( e23 = e20
    | h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_12_142,refute_12_144]) ).

cnf(refute_12_146,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_12_34]) ).

cnf(refute_12_147,plain,
    ( e23 != e20
    | e20 = e23 ),
    inference(subst,[],[refute_12_4:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).

cnf(refute_12_148,plain,
    e23 != e20,
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_12_147,refute_12_146]) ).

cnf(refute_12_149,plain,
    ( h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(e23,e20) )],[refute_12_145,refute_12_148]) ).

cnf(refute_12_150,plain,
    ( h4(e13) != e20
    | h4(e13) != e21
    | e21 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),e20) ),[0],$fot(e21)]]) ).

cnf(refute_12_151,plain,
    ( h4(e13) != e20
    | e21 = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_12_61,refute_12_150]) ).

cnf(refute_12_152,plain,
    ( e21 = e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_12_149,refute_12_151]) ).

cnf(refute_12_153,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_12_35]) ).

cnf(refute_12_154,plain,
    ( e21 != e20
    | e20 = e21 ),
    inference(subst,[],[refute_12_4:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).

cnf(refute_12_155,plain,
    e21 != e20,
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_12_154,refute_12_153]) ).

cnf(refute_12_156,plain,
    h2(e13) = e20,
    inference(resolve,[$cnf( $equal(e21,e20) )],[refute_12_152,refute_12_155]) ).

cnf(refute_12_157,plain,
    op2(e20,h2(e13)) = op2(e20,h2(e13)),
    introduced(tautology,[refl,[$fot(op2(e20,h2(e13)))]]) ).

cnf(refute_12_158,plain,
    ( h2(e13) != e20
    | op2(e20,h2(e13)) != op2(e20,h2(e13))
    | op2(e20,h2(e13)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,h2(e13))) ),[1,1],$fot(e20)]]) ).

cnf(refute_12_159,plain,
    ( h2(e13) != e20
    | op2(e20,h2(e13)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,h2(e13))) )],[refute_12_157,refute_12_158]) ).

cnf(refute_12_160,plain,
    op2(e20,h2(e13)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_12_156,refute_12_159]) ).

cnf(refute_12_161,plain,
    op2(h2(e13),h2(e13)) = op2(h2(e13),h2(e13)),
    introduced(tautology,[refl,[$fot(op2(h2(e13),h2(e13)))]]) ).

cnf(refute_12_162,plain,
    ( h2(e13) != e20
    | op2(h2(e13),h2(e13)) != op2(h2(e13),h2(e13))
    | op2(h2(e13),h2(e13)) = op2(e20,h2(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(h2(e13),h2(e13))) ),[1,0],$fot(e20)]]) ).

cnf(refute_12_163,plain,
    ( h2(e13) != e20
    | op2(h2(e13),h2(e13)) = op2(e20,h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(h2(e13),h2(e13))) )],[refute_12_161,refute_12_162]) ).

cnf(refute_12_164,plain,
    op2(h2(e13),h2(e13)) = op2(e20,h2(e13)),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_12_156,refute_12_163]) ).

cnf(refute_12_165,plain,
    ( op2(e20,h2(e13)) != op2(e20,e20)
    | op2(h2(e13),h2(e13)) != op2(e20,h2(e13))
    | op2(h2(e13),h2(e13)) = op2(e20,e20) ),
    inference(subst,[],[refute_12_50:[bind(X,$fot(op2(h2(e13),h2(e13)))),bind(Y,$fot(op2(e20,h2(e13)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_12_166,plain,
    ( op2(e20,h2(e13)) != op2(e20,e20)
    | op2(h2(e13),h2(e13)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(e20,h2(e13))) )],[refute_12_164,refute_12_165]) ).

cnf(refute_12_167,plain,
    op2(h2(e13),h2(e13)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,e20)) )],[refute_12_160,refute_12_166]) ).

cnf(refute_12_168,plain,
    ( op2(e20,e20) != h1(e13)
    | op2(h2(e13),h2(e13)) != op2(e20,e20)
    | op2(h2(e13),h2(e13)) = h1(e13) ),
    inference(subst,[],[refute_12_50:[bind(X,$fot(op2(h2(e13),h2(e13)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).

cnf(refute_12_169,plain,
    ( op2(e20,e20) != h1(e13)
    | op2(h2(e13),h2(e13)) = h1(e13) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(e20,e20)) )],[refute_12_167,refute_12_168]) ).

cnf(refute_12_170,plain,
    op2(h2(e13),h2(e13)) = h1(e13),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_12_135,refute_12_169]) ).

cnf(refute_12_171,plain,
    ( h2(e11) != op2(h2(e13),h2(e13))
    | op2(h2(e13),h2(e13)) != h1(e13)
    | h2(e11) = h1(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h1(e13)) ),[0],$fot(op2(h2(e13),h2(e13)))]]) ).

cnf(refute_12_172,plain,
    ( h2(e11) != op2(h2(e13),h2(e13))
    | h2(e11) = h1(e13) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),h1(e13)) )],[refute_12_170,refute_12_171]) ).

cnf(refute_12_173,plain,
    h2(e11) = h1(e13),
    inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_12_95,refute_12_172]) ).

cnf(refute_12_174,plain,
    ( h2(e11) != h1(e13)
    | h4(op1(e11,e11)) != h2(e11)
    | h4(op1(e11,e11)) = h1(e13) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) ),[1],$fot(h1(e13))]]) ).

cnf(refute_12_175,plain,
    ( h4(op1(e11,e11)) != h2(e11)
    | h4(op1(e11,e11)) = h1(e13) ),
    inference(resolve,[$cnf( $equal(h2(e11),h1(e13)) )],[refute_12_173,refute_12_174]) ).

cnf(refute_12_176,plain,
    h4(op1(e11,e11)) = h1(e13),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_12_132,refute_12_175]) ).

cnf(refute_12_177,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(canonicalize,[],[normalize_12_38]) ).

cnf(refute_12_178,plain,
    ( e23 != e23
    | op2(e22,e22) != e23
    | op2(e22,e22) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(e23)]]) ).

cnf(refute_12_179,plain,
    ( e23 != e23
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_6,refute_12_178]) ).

cnf(refute_12_180,plain,
    ( e23 != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_179,refute_12_177]) ).

cnf(refute_12_181,plain,
    ( op2(e20,e20) != e22
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).

cnf(refute_12_182,plain,
    ( op2(e20,e20) != e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_12_135,refute_12_181]) ).

cnf(refute_12_183,plain,
    ( e23 != e23
    | h1(e13) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_12_180,refute_12_182]) ).

cnf(refute_12_184,plain,
    ( op2(e21,e21) != e22
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).

cnf(refute_12_185,plain,
    ( op2(e21,e21) != e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_81,refute_12_184]) ).

cnf(refute_12_186,plain,
    ( e23 != e23
    | h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_12_183,refute_12_185]) ).

cnf(refute_12_187,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_12_188,plain,
    ( h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_12_187,refute_12_186]) ).

cnf(refute_12_189,plain,
    ( h2(e13) != e20
    | h2(e13) != e22
    | e20 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[0],$fot(e20)]]) ).

cnf(refute_12_190,plain,
    ( h2(e13) != e22
    | e20 = e22 ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_12_156,refute_12_189]) ).

cnf(refute_12_191,plain,
    ( e20 = e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_12_188,refute_12_190]) ).

cnf(refute_12_192,plain,
    e20 != e22,
    inference(canonicalize,[],[normalize_12_39]) ).

cnf(refute_12_193,plain,
    h1(e13) = e22,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_12_191,refute_12_192]) ).

cnf(refute_12_194,plain,
    ( h1(e13) != e22
    | h4(op1(e11,e11)) != h1(e13)
    | h4(op1(e11,e11)) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h1(e13)) ),[1],$fot(e22)]]) ).

cnf(refute_12_195,plain,
    ( h4(op1(e11,e11)) != h1(e13)
    | h4(op1(e11,e11)) = e22 ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_12_193,refute_12_194]) ).

cnf(refute_12_196,plain,
    h4(op1(e11,e11)) = e22,
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h1(e13)) )],[refute_12_176,refute_12_195]) ).

cnf(refute_12_197,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(canonicalize,[],[normalize_12_43]) ).

cnf(refute_12_198,plain,
    e13 = op1(e12,e12),
    inference(canonicalize,[],[normalize_12_45]) ).

cnf(refute_12_199,plain,
    ( e13 != op1(e12,e12)
    | op1(e12,e12) = e13 ),
    inference(subst,[],[refute_12_4:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).

cnf(refute_12_200,plain,
    op1(e12,e12) = e13,
    inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_12_198,refute_12_199]) ).

cnf(refute_12_201,plain,
    ( op1(e12,e12) != e10
    | op1(e12,e12) != e13
    | e13 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[0],$fot(e13)]]) ).

cnf(refute_12_202,plain,
    ( op1(e12,e12) != e10
    | e13 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_12_200,refute_12_201]) ).

cnf(refute_12_203,plain,
    ( e13 = e10
    | op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_12_197,refute_12_202]) ).

cnf(refute_12_204,plain,
    e10 != e13,
    inference(canonicalize,[],[normalize_12_47]) ).

cnf(refute_12_205,plain,
    ( e13 != e10
    | e10 = e13 ),
    inference(subst,[],[refute_12_4:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).

cnf(refute_12_206,plain,
    e13 != e10,
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_12_205,refute_12_204]) ).

cnf(refute_12_207,plain,
    ( op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(e13,e10) )],[refute_12_203,refute_12_206]) ).

cnf(refute_12_208,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(canonicalize,[],[normalize_12_48]) ).

cnf(refute_12_209,plain,
    op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).

cnf(refute_12_210,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).

cnf(refute_12_211,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_12_209,refute_12_210]) ).

cnf(refute_12_212,plain,
    op1(e13,op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_12_200,refute_12_211]) ).

cnf(refute_12_213,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_12_214,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).

cnf(refute_12_215,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_12_213,refute_12_214]) ).

cnf(refute_12_216,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_12_200,refute_12_215]) ).

cnf(refute_12_217,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(subst,[],[refute_12_50:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).

cnf(refute_12_218,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_12_216,refute_12_217]) ).

cnf(refute_12_219,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_12_212,refute_12_218]) ).

cnf(refute_12_220,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
    | e11 = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_12_221,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | e11 = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_12_219,refute_12_220]) ).

cnf(refute_12_222,plain,
    e11 = op1(e13,e13),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_12_208,refute_12_221]) ).

cnf(refute_12_223,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_12_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_12_224,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_12_222,refute_12_223]) ).

cnf(refute_12_225,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e13) != e11
    | e11 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).

cnf(refute_12_226,plain,
    ( op1(e13,e13) != e10
    | e11 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_12_224,refute_12_225]) ).

cnf(refute_12_227,plain,
    ( e11 = e10
    | op1(e11,e11) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_12_207,refute_12_226]) ).

cnf(refute_12_228,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_12_49]) ).

cnf(refute_12_229,plain,
    ( e11 != e10
    | e10 = e11 ),
    inference(subst,[],[refute_12_4:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).

cnf(refute_12_230,plain,
    e11 != e10,
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_12_229,refute_12_228]) ).

cnf(refute_12_231,plain,
    op1(e11,e11) = e10,
    inference(resolve,[$cnf( $equal(e11,e10) )],[refute_12_227,refute_12_230]) ).

cnf(refute_12_232,plain,
    h4(op1(e11,e11)) = h4(op1(e11,e11)),
    introduced(tautology,[refl,[$fot(h4(op1(e11,e11)))]]) ).

cnf(refute_12_233,plain,
    ( h4(op1(e11,e11)) != h4(op1(e11,e11))
    | op1(e11,e11) != e10
    | h4(op1(e11,e11)) = h4(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) ),[1,0],$fot(e10)]]) ).

cnf(refute_12_234,plain,
    ( op1(e11,e11) != e10
    | h4(op1(e11,e11)) = h4(e10) ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) )],[refute_12_232,refute_12_233]) ).

cnf(refute_12_235,plain,
    h4(op1(e11,e11)) = h4(e10),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_12_231,refute_12_234]) ).

cnf(refute_12_236,plain,
    ( h4(op1(e11,e11)) != e22
    | h4(op1(e11,e11)) != h4(e10)
    | h4(e10) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),e22) ),[0],$fot(h4(e10))]]) ).

cnf(refute_12_237,plain,
    ( h4(op1(e11,e11)) != e22
    | h4(e10) = e22 ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(e10)) )],[refute_12_235,refute_12_236]) ).

cnf(refute_12_238,plain,
    h4(e10) = e22,
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),e22) )],[refute_12_196,refute_12_237]) ).

cnf(refute_12_239,plain,
    ( h4(e10) != e22
    | op2(e21,e22) != e22
    | op2(e21,e22) = h4(e10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h4(e10)) ),[1],$fot(e22)]]) ).

cnf(refute_12_240,plain,
    ( op2(e21,e22) != e22
    | op2(e21,e22) = h4(e10) ),
    inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_12_238,refute_12_239]) ).

cnf(refute_12_241,plain,
    op2(e21,e22) != e22,
    inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e10)) )],[refute_12_240,refute_12_76]) ).

cnf(refute_12_242,plain,
    op2(e21,e22) = e21,
    inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_12_34,refute_12_241]) ).

cnf(refute_12_243,plain,
    ( op2(e21,e22) != e21
    | op2(e21,e22) != e22
    | e21 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[0],$fot(e21)]]) ).

cnf(refute_12_244,plain,
    ( op2(e21,e22) != e22
    | e21 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_12_242,refute_12_243]) ).

cnf(refute_12_245,plain,
    ( e21 = e22
    | op2(e20,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_12_13,refute_12_244]) ).

cnf(refute_12_246,plain,
    ( op2(e23,e22) != e20
    | op2(e23,e22) != e22
    | e20 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e22) ),[0],$fot(e20)]]) ).

cnf(refute_12_247,plain,
    ( op2(e23,e22) != e22
    | e20 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_12_30,refute_12_246]) ).

cnf(refute_12_248,plain,
    ( e20 = e22
    | e21 = e22
    | op2(e20,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_12_245,refute_12_247]) ).

cnf(refute_12_249,plain,
    ( e21 = e22
    | op2(e20,e22) = e22 ),
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_12_248,refute_12_192]) ).

cnf(refute_12_250,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_12_50]) ).

cnf(refute_12_251,plain,
    op2(e20,e22) = e22,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_12_249,refute_12_250]) ).

cnf(refute_12_252,plain,
    op2(e20,e20) != op2(e20,e22),
    inference(canonicalize,[],[normalize_12_51]) ).

cnf(refute_12_253,plain,
    ( h1(e13) != op2(e20,e22)
    | op2(e20,e20) != h1(e13)
    | op2(e20,e20) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).

cnf(refute_12_254,plain,
    ( h1(e13) != op2(e20,e22)
    | op2(e20,e20) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_12_135,refute_12_253]) ).

cnf(refute_12_255,plain,
    h1(e13) != op2(e20,e22),
    inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_12_254,refute_12_252]) ).

cnf(refute_12_256,plain,
    ( e22 != op2(e20,e22)
    | h1(e13) != e22
    | h1(e13) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[1],$fot(op2(e20,e22))]]) ).

cnf(refute_12_257,plain,
    ( e22 != op2(e20,e22)
    | h1(e13) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_12_193,refute_12_256]) ).

cnf(refute_12_258,plain,
    e22 != op2(e20,e22),
    inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_12_257,refute_12_255]) ).

cnf(refute_12_259,plain,
    ( op2(e20,e22) != e22
    | e22 = op2(e20,e22) ),
    inference(subst,[],[refute_12_4:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(e22))]]) ).

cnf(refute_12_260,plain,
    op2(e20,e22) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e22)) )],[refute_12_259,refute_12_258]) ).

cnf(refute_12_261,plain,
    $false,
    inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_12_251,refute_12_260]) ).

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,e22) = e22
    | op2(e21,e22) = e22
    | op2(e22,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(conjunct,[],[normalize_13_0]) ).

fof(normalize_13_2,plain,
    ( e20 = op2(op2(e22,e22),e22)
    & e21 = op2(op2(e22,e22),op2(e22,e22))
    & e23 = op2(e22,e22) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_13_3,plain,
    e23 = op2(e22,e22),
    inference(conjunct,[],[normalize_13_2]) ).

fof(normalize_13_4,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_13_5,plain,
    e22 != e23,
    inference(conjunct,[],[normalize_13_4]) ).

fof(normalize_13_6,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_7,plain,
    ( op2(e21,e22) = e20
    | op2(e21,e22) = e21
    | op2(e21,e22) = e22
    | op2(e21,e22) = e23 ),
    inference(conjunct,[],[normalize_13_6]) ).

fof(normalize_13_8,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_9,plain,
    op2(e21,e22) != op2(e22,e22),
    inference(conjunct,[],[normalize_13_8]) ).

fof(normalize_13_10,plain,
    op2(e21,e22) != op2(e23,e22),
    inference(conjunct,[],[normalize_13_8]) ).

fof(normalize_13_11,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(conjunct,[],[normalize_13_2]) ).

fof(normalize_13_12,plain,
    op2(e21,e22) != op2(e21,e23),
    inference(conjunct,[],[normalize_13_8]) ).

fof(normalize_13_13,plain,
    ( h4(e10) = op2(op2(e23,e23),e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = e23
    & h4(e13) = op2(e23,e23) ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_13_14,plain,
    h4(e10) = op2(op2(e23,e23),e23),
    inference(conjunct,[],[normalize_13_13]) ).

fof(normalize_13_15,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(conjunct,[],[normalize_13_2]) ).

fof(normalize_13_16,plain,
    h4(e13) = op2(e23,e23),
    inference(conjunct,[],[normalize_13_13]) ).

fof(normalize_13_17,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_18,plain,
    ( h1(e10) = op2(op2(e20,e20),e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = e20
    & h1(e13) = op2(e20,e20) ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_13_19,plain,
    h1(e12) = e20,
    inference(conjunct,[],[normalize_13_18]) ).

fof(normalize_13_20,plain,
    ( h2(e10) = op2(op2(e21,e21),e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = e21
    & h2(e13) = op2(e21,e21) ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_13_21,plain,
    h2(e12) = e21,
    inference(conjunct,[],[normalize_13_20]) ).

fof(normalize_13_22,plain,
    ( h3(e10) = op2(op2(e22,e22),e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = e22
    & h3(e13) = op2(e22,e22) ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_13_23,plain,
    h3(e12) = e22,
    inference(conjunct,[],[normalize_13_22]) ).

fof(normalize_13_24,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_17,normalize_13_19,normalize_13_21,normalize_13_23]) ).

fof(normalize_13_25,plain,
    h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
    inference(conjunct,[],[normalize_13_24]) ).

fof(normalize_13_26,plain,
    h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
    inference(conjunct,[],[normalize_13_20]) ).

fof(normalize_13_27,plain,
    h2(e13) = op2(e21,e21),
    inference(conjunct,[],[normalize_13_20]) ).

fof(normalize_13_28,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_13_13]) ).

fof(normalize_13_29,plain,
    ( ( ( op1(e10,e10) != e11
        & op1(e11,e11) = e10 )
      | ( op1(e10,e10) != e12
        & op1(e12,e12) = e10 )
      | ( op1(e10,e10) != e13
        & op1(e13,e13) = e10 ) )
    & ( ( op1(e11,e11) != e10
        & op1(e10,e10) = e11 )
      | ( op1(e11,e11) != e12
        & op1(e12,e12) = e11 )
      | ( op1(e11,e11) != e13
        & op1(e13,e13) = e11 ) )
    & ( ( op1(e12,e12) != e10
        & op1(e10,e10) = e12 )
      | ( op1(e12,e12) != e11
        & op1(e11,e11) = e12 )
      | ( op1(e12,e12) != e13
        & op1(e13,e13) = e12 ) )
    & ( ( op1(e13,e13) != e10
        & op1(e10,e10) = e13 )
      | ( op1(e13,e13) != e11
        & op1(e11,e11) = e13 )
      | ( op1(e13,e13) != e12
        & op1(e12,e12) = e13 ) ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_13_30,plain,
    ( ( op1(e10,e10) != e11
      & op1(e11,e11) = e10 )
    | ( op1(e10,e10) != e12
      & op1(e12,e12) = e10 )
    | ( op1(e10,e10) != e13
      & op1(e13,e13) = e10 ) ),
    inference(conjunct,[],[normalize_13_29]) ).

fof(normalize_13_31,plain,
    ( ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e10,e10) != e13 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e13
      | op1(e12,e12) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e10) != e13
      | op1(e11,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e11) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e11) = e10
      | op1(e12,e12) = e10 )
    & ( op1(e11,e11) = e10
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 ) ),
    inference(clausify,[],[normalize_13_30]) ).

fof(normalize_13_32,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(conjunct,[],[normalize_13_31]) ).

fof(normalize_13_33,plain,
    ( e10 = op1(op1(e12,e12),e12)
    & e11 = op1(op1(e12,e12),op1(e12,e12))
    & e13 = op1(e12,e12) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_13_34,plain,
    e13 = op1(e12,e12),
    inference(conjunct,[],[normalize_13_33]) ).

fof(normalize_13_35,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_13_36,plain,
    e10 != e13,
    inference(conjunct,[],[normalize_13_35]) ).

fof(normalize_13_37,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(conjunct,[],[normalize_13_33]) ).

fof(normalize_13_38,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_13_35]) ).

fof(normalize_13_39,plain,
    h1(e13) = op2(e20,e20),
    inference(conjunct,[],[normalize_13_18]) ).

fof(normalize_13_40,plain,
    ( ( ( op2(e20,e20) != e21
        & op2(e21,e21) = e20 )
      | ( op2(e20,e20) != e22
        & op2(e22,e22) = e20 )
      | ( op2(e20,e20) != e23
        & op2(e23,e23) = e20 ) )
    & ( ( op2(e21,e21) != e20
        & op2(e20,e20) = e21 )
      | ( op2(e21,e21) != e22
        & op2(e22,e22) = e21 )
      | ( op2(e21,e21) != e23
        & op2(e23,e23) = e21 ) )
    & ( ( op2(e22,e22) != e20
        & op2(e20,e20) = e22 )
      | ( op2(e22,e22) != e21
        & op2(e21,e21) = e22 )
      | ( op2(e22,e22) != e23
        & op2(e23,e23) = e22 ) )
    & ( ( op2(e23,e23) != e20
        & op2(e20,e20) = e23 )
      | ( op2(e23,e23) != e21
        & op2(e21,e21) = e23 )
      | ( op2(e23,e23) != e22
        & op2(e22,e22) = e23 ) ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_13_41,plain,
    ( ( op2(e20,e20) != e21
      & op2(e21,e21) = e20 )
    | ( op2(e20,e20) != e22
      & op2(e22,e22) = e20 )
    | ( op2(e20,e20) != e23
      & op2(e23,e23) = e20 ) ),
    inference(conjunct,[],[normalize_13_40]) ).

fof(normalize_13_42,plain,
    ( ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e20,e20) != e23 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e23
      | op2(e22,e22) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e20) != e23
      | op2(e21,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e21) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e21) = e20
      | op2(e22,e22) = e20 )
    & ( op2(e21,e21) = e20
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 ) ),
    inference(clausify,[],[normalize_13_41]) ).

fof(normalize_13_43,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(conjunct,[],[normalize_13_42]) ).

fof(normalize_13_44,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_13_4]) ).

fof(normalize_13_45,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_13_4]) ).

fof(normalize_13_46,plain,
    ( ( op2(e22,e22) != e20
      & op2(e20,e20) = e22 )
    | ( op2(e22,e22) != e21
      & op2(e21,e21) = e22 )
    | ( op2(e22,e22) != e23
      & op2(e23,e23) = e22 ) ),
    inference(conjunct,[],[normalize_13_40]) ).

fof(normalize_13_47,plain,
    ( ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e23
      | op2(e21,e21) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e22) != e23
      | op2(e20,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e20,e20) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e20,e20) = e22
      | op2(e21,e21) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 ) ),
    inference(clausify,[],[normalize_13_46]) ).

fof(normalize_13_48,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(conjunct,[],[normalize_13_47]) ).

fof(normalize_13_49,plain,
    e20 != e22,
    inference(conjunct,[],[normalize_13_4]) ).

fof(normalize_13_50,plain,
    e21 != e22,
    inference(conjunct,[],[normalize_13_4]) ).

fof(normalize_13_51,plain,
    op2(e20,e20) != op2(e20,e22),
    inference(conjunct,[],[normalize_13_8]) ).

cnf(refute_13_0,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e22,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(canonicalize,[],[normalize_13_1]) ).

cnf(refute_13_1,plain,
    e23 = op2(e22,e22),
    inference(canonicalize,[],[normalize_13_3]) ).

cnf(refute_13_2,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_13_3,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_13_4,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_13_2,refute_13_3]) ).

cnf(refute_13_5,plain,
    ( e23 != op2(e22,e22)
    | op2(e22,e22) = e23 ),
    inference(subst,[],[refute_13_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_13_6,plain,
    op2(e22,e22) = e23,
    inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_13_1,refute_13_5]) ).

cnf(refute_13_7,plain,
    ( op2(e22,e22) != e22
    | op2(e22,e22) != e23
    | e23 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e22) ),[0],$fot(e23)]]) ).

cnf(refute_13_8,plain,
    ( op2(e22,e22) != e22
    | e23 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_6,refute_13_7]) ).

cnf(refute_13_9,plain,
    ( e23 = e22
    | op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e22) )],[refute_13_0,refute_13_8]) ).

cnf(refute_13_10,plain,
    e22 != e23,
    inference(canonicalize,[],[normalize_13_5]) ).

cnf(refute_13_11,plain,
    ( e23 != e22
    | e22 = e23 ),
    inference(subst,[],[refute_13_4:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).

cnf(refute_13_12,plain,
    e23 != e22,
    inference(resolve,[$cnf( $equal(e22,e23) )],[refute_13_11,refute_13_10]) ).

cnf(refute_13_13,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(resolve,[$cnf( $equal(e23,e22) )],[refute_13_9,refute_13_12]) ).

cnf(refute_13_14,plain,
    ( op2(e21,e22) = e20
    | op2(e21,e22) = e21
    | op2(e21,e22) = e22
    | op2(e21,e22) = e23 ),
    inference(canonicalize,[],[normalize_13_7]) ).

cnf(refute_13_15,plain,
    op2(e21,e22) != op2(e22,e22),
    inference(canonicalize,[],[normalize_13_9]) ).

cnf(refute_13_16,plain,
    ( op2(e21,e22) != e23
    | op2(e22,e22) != e23
    | op2(e21,e22) = op2(e22,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).

cnf(refute_13_17,plain,
    ( op2(e21,e22) != e23
    | op2(e21,e22) = op2(e22,e22) ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_6,refute_13_16]) ).

cnf(refute_13_18,plain,
    op2(e21,e22) != e23,
    inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e22,e22)) )],[refute_13_17,refute_13_15]) ).

cnf(refute_13_19,plain,
    ( op2(e21,e22) = e20
    | op2(e21,e22) = e21
    | op2(e21,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e23) )],[refute_13_14,refute_13_18]) ).

cnf(refute_13_20,plain,
    op2(e21,e22) != op2(e23,e22),
    inference(canonicalize,[],[normalize_13_10]) ).

cnf(refute_13_21,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(canonicalize,[],[normalize_13_11]) ).

cnf(refute_13_22,plain,
    op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).

cnf(refute_13_23,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).

cnf(refute_13_24,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),e22) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_13_22,refute_13_23]) ).

cnf(refute_13_25,plain,
    op2(op2(e22,e22),e22) = op2(e23,e22),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_6,refute_13_24]) ).

cnf(refute_13_26,plain,
    ( e20 != op2(op2(e22,e22),e22)
    | op2(op2(e22,e22),e22) != op2(e23,e22)
    | e20 = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e22)) ),[0],$fot(op2(op2(e22,e22),e22))]]) ).

cnf(refute_13_27,plain,
    ( e20 != op2(op2(e22,e22),e22)
    | e20 = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_13_25,refute_13_26]) ).

cnf(refute_13_28,plain,
    e20 = op2(e23,e22),
    inference(resolve,[$cnf( $equal(e20,op2(op2(e22,e22),e22)) )],[refute_13_21,refute_13_27]) ).

cnf(refute_13_29,plain,
    ( e20 != op2(e23,e22)
    | op2(e23,e22) = e20 ),
    inference(subst,[],[refute_13_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e22)))]]) ).

cnf(refute_13_30,plain,
    op2(e23,e22) = e20,
    inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_13_28,refute_13_29]) ).

cnf(refute_13_31,plain,
    ( op2(e21,e22) != e20
    | op2(e23,e22) != e20
    | op2(e21,e22) = op2(e23,e22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e23,e22)) ),[1],$fot(e20)]]) ).

cnf(refute_13_32,plain,
    ( op2(e21,e22) != e20
    | op2(e21,e22) = op2(e23,e22) ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_13_30,refute_13_31]) ).

cnf(refute_13_33,plain,
    op2(e21,e22) != e20,
    inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,e22)) )],[refute_13_32,refute_13_20]) ).

cnf(refute_13_34,plain,
    ( op2(e21,e22) = e21
    | op2(e21,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_13_19,refute_13_33]) ).

cnf(refute_13_35,plain,
    op2(e21,e22) != op2(e21,e23),
    inference(canonicalize,[],[normalize_13_12]) ).

cnf(refute_13_36,plain,
    h4(e10) = op2(op2(e23,e23),e23),
    inference(canonicalize,[],[normalize_13_14]) ).

cnf(refute_13_37,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(canonicalize,[],[normalize_13_15]) ).

cnf(refute_13_38,plain,
    h4(e13) = op2(e23,e23),
    inference(canonicalize,[],[normalize_13_16]) ).

cnf(refute_13_39,plain,
    ( h4(e13) != op2(e23,e23)
    | op2(e23,e23) = h4(e13) ),
    inference(subst,[],[refute_13_4:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_13_40,plain,
    op2(e23,e23) = h4(e13),
    inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_13_38,refute_13_39]) ).

cnf(refute_13_41,plain,
    op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).

cnf(refute_13_42,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).

cnf(refute_13_43,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_13_41,refute_13_42]) ).

cnf(refute_13_44,plain,
    op2(e23,op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_6,refute_13_43]) ).

cnf(refute_13_45,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_13_46,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).

cnf(refute_13_47,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_13_45,refute_13_46]) ).

cnf(refute_13_48,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_6,refute_13_47]) ).

cnf(refute_13_49,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_13_50,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_13_4,refute_13_49]) ).

cnf(refute_13_51,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(subst,[],[refute_13_50:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).

cnf(refute_13_52,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_13_48,refute_13_51]) ).

cnf(refute_13_53,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_13_44,refute_13_52]) ).

cnf(refute_13_54,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(subst,[],[refute_13_50:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).

cnf(refute_13_55,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_13_53,refute_13_54]) ).

cnf(refute_13_56,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_13_40,refute_13_55]) ).

cnf(refute_13_57,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
    | e21 = h4(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_13_58,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | e21 = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_13_56,refute_13_57]) ).

cnf(refute_13_59,plain,
    e21 = h4(e13),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_13_37,refute_13_58]) ).

cnf(refute_13_60,plain,
    ( e21 != h4(e13)
    | h4(e13) = e21 ),
    inference(subst,[],[refute_13_4:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).

cnf(refute_13_61,plain,
    h4(e13) = e21,
    inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_13_59,refute_13_60]) ).

cnf(refute_13_62,plain,
    ( h4(e13) != e21
    | op2(e23,e23) != h4(e13)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_13_50:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).

cnf(refute_13_63,plain,
    ( h4(e13) != e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_13_40,refute_13_62]) ).

cnf(refute_13_64,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_13_61,refute_13_63]) ).

cnf(refute_13_65,plain,
    op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).

cnf(refute_13_66,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
    | op2(op2(e23,e23),e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).

cnf(refute_13_67,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_13_65,refute_13_66]) ).

cnf(refute_13_68,plain,
    op2(op2(e23,e23),e23) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_13_64,refute_13_67]) ).

cnf(refute_13_69,plain,
    ( h4(e10) != op2(op2(e23,e23),e23)
    | op2(op2(e23,e23),e23) != op2(e21,e23)
    | h4(e10) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).

cnf(refute_13_70,plain,
    ( h4(e10) != op2(op2(e23,e23),e23)
    | h4(e10) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_13_68,refute_13_69]) ).

cnf(refute_13_71,plain,
    h4(e10) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_13_36,refute_13_70]) ).

cnf(refute_13_72,plain,
    ( h4(e10) != op2(e21,e23)
    | op2(e21,e23) = h4(e10) ),
    inference(subst,[],[refute_13_4:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_13_73,plain,
    op2(e21,e23) = h4(e10),
    inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_13_71,refute_13_72]) ).

cnf(refute_13_74,plain,
    ( op2(e21,e22) != h4(e10)
    | op2(e21,e23) != h4(e10)
    | op2(e21,e22) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),op2(e21,e23)) ),[1],$fot(h4(e10))]]) ).

cnf(refute_13_75,plain,
    ( op2(e21,e22) != h4(e10)
    | op2(e21,e22) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_13_73,refute_13_74]) ).

cnf(refute_13_76,plain,
    op2(e21,e22) != h4(e10),
    inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e21,e23)) )],[refute_13_75,refute_13_35]) ).

cnf(refute_13_77,plain,
    h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
    inference(canonicalize,[],[normalize_13_25]) ).

cnf(refute_13_78,plain,
    h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
    inference(canonicalize,[],[normalize_13_26]) ).

cnf(refute_13_79,plain,
    h2(e13) = op2(e21,e21),
    inference(canonicalize,[],[normalize_13_27]) ).

cnf(refute_13_80,plain,
    ( h2(e13) != op2(e21,e21)
    | op2(e21,e21) = h2(e13) ),
    inference(subst,[],[refute_13_4:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_13_81,plain,
    op2(e21,e21) = h2(e13),
    inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_13_79,refute_13_80]) ).

cnf(refute_13_82,plain,
    op2(h2(e13),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
    introduced(tautology,[refl,[$fot(op2(h2(e13),op2(e21,e21)))]]) ).

cnf(refute_13_83,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(h2(e13),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
    | op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).

cnf(refute_13_84,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_13_82,refute_13_83]) ).

cnf(refute_13_85,plain,
    op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_13_81,refute_13_84]) ).

cnf(refute_13_86,plain,
    op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
    introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).

cnf(refute_13_87,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e13))]]) ).

cnf(refute_13_88,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_13_86,refute_13_87]) ).

cnf(refute_13_89,plain,
    op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_13_81,refute_13_88]) ).

cnf(refute_13_90,plain,
    ( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
    | op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    inference(subst,[],[refute_13_50:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e13),op2(e21,e21)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).

cnf(refute_13_91,plain,
    ( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_13_89,refute_13_90]) ).

cnf(refute_13_92,plain,
    op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_13_85,refute_13_91]) ).

cnf(refute_13_93,plain,
    ( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
    | op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),h2(e13))
    | h2(e11) = op2(h2(e13),h2(e13)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e13),h2(e13))) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).

cnf(refute_13_94,plain,
    ( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
    | h2(e11) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_13_92,refute_13_93]) ).

cnf(refute_13_95,plain,
    h2(e11) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(h2(e11),op2(op2(e21,e21),op2(e21,e21))) )],[refute_13_78,refute_13_94]) ).

cnf(refute_13_96,plain,
    ( h2(e11) != op2(h2(e13),h2(e13))
    | op2(h2(e13),h2(e13)) = h2(e11) ),
    inference(subst,[],[refute_13_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(h2(e13),h2(e13))))]]) ).

cnf(refute_13_97,plain,
    op2(h2(e13),h2(e13)) = h2(e11),
    inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_13_95,refute_13_96]) ).

cnf(refute_13_98,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_13_28]) ).

cnf(refute_13_99,plain,
    op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).

cnf(refute_13_100,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
    | op2(e23,e23) != e21
    | op2(e21,op2(e23,e23)) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).

cnf(refute_13_101,plain,
    ( op2(e23,e23) != e21
    | op2(e21,op2(e23,e23)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_13_99,refute_13_100]) ).

cnf(refute_13_102,plain,
    op2(e21,op2(e23,e23)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_13_64,refute_13_101]) ).

cnf(refute_13_103,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_104,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,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(e21)]]) ).

cnf(refute_13_105,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_13_103,refute_13_104]) ).

cnf(refute_13_106,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_13_64,refute_13_105]) ).

cnf(refute_13_107,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
    inference(subst,[],[refute_13_50:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).

cnf(refute_13_108,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_13_106,refute_13_107]) ).

cnf(refute_13_109,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_13_102,refute_13_108]) ).

cnf(refute_13_110,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
    inference(subst,[],[refute_13_50:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).

cnf(refute_13_111,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_13_109,refute_13_110]) ).

cnf(refute_13_112,plain,
    op2(op2(e23,e23),op2(e23,e23)) = h2(e13),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_13_81,refute_13_111]) ).

cnf(refute_13_113,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != h2(e13)
    | h4(e11) = h2(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h2(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_13_114,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | h4(e11) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e13)) )],[refute_13_112,refute_13_113]) ).

cnf(refute_13_115,plain,
    h4(e11) = h2(e13),
    inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_13_98,refute_13_114]) ).

cnf(refute_13_116,plain,
    op2(h2(e13),h4(e11)) = op2(h2(e13),h4(e11)),
    introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e11)))]]) ).

cnf(refute_13_117,plain,
    ( h4(e11) != h2(e13)
    | op2(h2(e13),h4(e11)) != op2(h2(e13),h4(e11))
    | op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h4(e11))) ),[1,1],$fot(h2(e13))]]) ).

cnf(refute_13_118,plain,
    ( h4(e11) != h2(e13)
    | op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h4(e11))) )],[refute_13_116,refute_13_117]) ).

cnf(refute_13_119,plain,
    op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_13_115,refute_13_118]) ).

cnf(refute_13_120,plain,
    op2(h4(e11),h4(e11)) = op2(h4(e11),h4(e11)),
    introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e11)))]]) ).

cnf(refute_13_121,plain,
    ( h4(e11) != h2(e13)
    | op2(h4(e11),h4(e11)) != op2(h4(e11),h4(e11))
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) ),[1,0],$fot(h2(e13))]]) ).

cnf(refute_13_122,plain,
    ( h4(e11) != h2(e13)
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) )],[refute_13_120,refute_13_121]) ).

cnf(refute_13_123,plain,
    op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)),
    inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_13_115,refute_13_122]) ).

cnf(refute_13_124,plain,
    ( op2(h2(e13),h4(e11)) != op2(h2(e13),h2(e13))
    | op2(h4(e11),h4(e11)) != op2(h2(e13),h4(e11))
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)) ),
    inference(subst,[],[refute_13_50:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(h2(e13),h4(e11)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).

cnf(refute_13_125,plain,
    ( op2(h2(e13),h4(e11)) != op2(h2(e13),h2(e13))
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h2(e13),h4(e11))) )],[refute_13_123,refute_13_124]) ).

cnf(refute_13_126,plain,
    op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h2(e13))) )],[refute_13_119,refute_13_125]) ).

cnf(refute_13_127,plain,
    ( op2(h2(e13),h2(e13)) != h2(e11)
    | op2(h4(e11),h4(e11)) != op2(h2(e13),h2(e13))
    | op2(h4(e11),h4(e11)) = h2(e11) ),
    inference(subst,[],[refute_13_50:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(h2(e13),h2(e13)))),bind(Z,$fot(h2(e11)))]]) ).

cnf(refute_13_128,plain,
    ( op2(h2(e13),h2(e13)) != h2(e11)
    | op2(h4(e11),h4(e11)) = h2(e11) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h2(e13),h2(e13))) )],[refute_13_126,refute_13_127]) ).

cnf(refute_13_129,plain,
    op2(h4(e11),h4(e11)) = h2(e11),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),h2(e11)) )],[refute_13_97,refute_13_128]) ).

cnf(refute_13_130,plain,
    ( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | op2(h4(e11),h4(e11)) != h2(e11)
    | h4(op1(e11,e11)) = h2(e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),h2(e11)) ),[0],$fot(op2(h4(e11),h4(e11)))]]) ).

cnf(refute_13_131,plain,
    ( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | h4(op1(e11,e11)) = h2(e11) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),h2(e11)) )],[refute_13_129,refute_13_130]) ).

cnf(refute_13_132,plain,
    h4(op1(e11,e11)) = h2(e11),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_13_77,refute_13_131]) ).

cnf(refute_13_133,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(canonicalize,[],[normalize_13_32]) ).

cnf(refute_13_134,plain,
    e13 = op1(e12,e12),
    inference(canonicalize,[],[normalize_13_34]) ).

cnf(refute_13_135,plain,
    ( e13 != op1(e12,e12)
    | op1(e12,e12) = e13 ),
    inference(subst,[],[refute_13_4:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).

cnf(refute_13_136,plain,
    op1(e12,e12) = e13,
    inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_13_134,refute_13_135]) ).

cnf(refute_13_137,plain,
    ( op1(e12,e12) != e10
    | op1(e12,e12) != e13
    | e13 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[0],$fot(e13)]]) ).

cnf(refute_13_138,plain,
    ( op1(e12,e12) != e10
    | e13 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_13_136,refute_13_137]) ).

cnf(refute_13_139,plain,
    ( e13 = e10
    | op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_13_133,refute_13_138]) ).

cnf(refute_13_140,plain,
    e10 != e13,
    inference(canonicalize,[],[normalize_13_36]) ).

cnf(refute_13_141,plain,
    ( e13 != e10
    | e10 = e13 ),
    inference(subst,[],[refute_13_4:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).

cnf(refute_13_142,plain,
    e13 != e10,
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_13_141,refute_13_140]) ).

cnf(refute_13_143,plain,
    ( op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(e13,e10) )],[refute_13_139,refute_13_142]) ).

cnf(refute_13_144,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(canonicalize,[],[normalize_13_37]) ).

cnf(refute_13_145,plain,
    op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).

cnf(refute_13_146,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).

cnf(refute_13_147,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_13_145,refute_13_146]) ).

cnf(refute_13_148,plain,
    op1(e13,op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_13_136,refute_13_147]) ).

cnf(refute_13_149,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_13_150,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).

cnf(refute_13_151,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_13_149,refute_13_150]) ).

cnf(refute_13_152,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_13_136,refute_13_151]) ).

cnf(refute_13_153,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(subst,[],[refute_13_50:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).

cnf(refute_13_154,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_13_152,refute_13_153]) ).

cnf(refute_13_155,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_13_148,refute_13_154]) ).

cnf(refute_13_156,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
    | e11 = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_13_157,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | e11 = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_13_155,refute_13_156]) ).

cnf(refute_13_158,plain,
    e11 = op1(e13,e13),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_13_144,refute_13_157]) ).

cnf(refute_13_159,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_13_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_13_160,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_13_158,refute_13_159]) ).

cnf(refute_13_161,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e13) != e11
    | e11 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).

cnf(refute_13_162,plain,
    ( op1(e13,e13) != e10
    | e11 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_13_160,refute_13_161]) ).

cnf(refute_13_163,plain,
    ( e11 = e10
    | op1(e11,e11) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_13_143,refute_13_162]) ).

cnf(refute_13_164,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_13_38]) ).

cnf(refute_13_165,plain,
    ( e11 != e10
    | e10 = e11 ),
    inference(subst,[],[refute_13_4:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).

cnf(refute_13_166,plain,
    e11 != e10,
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_13_165,refute_13_164]) ).

cnf(refute_13_167,plain,
    op1(e11,e11) = e10,
    inference(resolve,[$cnf( $equal(e11,e10) )],[refute_13_163,refute_13_166]) ).

cnf(refute_13_168,plain,
    h4(op1(e11,e11)) = h4(op1(e11,e11)),
    introduced(tautology,[refl,[$fot(h4(op1(e11,e11)))]]) ).

cnf(refute_13_169,plain,
    ( h4(op1(e11,e11)) != h4(op1(e11,e11))
    | op1(e11,e11) != e10
    | h4(op1(e11,e11)) = h4(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) ),[1,0],$fot(e10)]]) ).

cnf(refute_13_170,plain,
    ( op1(e11,e11) != e10
    | h4(op1(e11,e11)) = h4(e10) ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) )],[refute_13_168,refute_13_169]) ).

cnf(refute_13_171,plain,
    h4(op1(e11,e11)) = h4(e10),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_13_167,refute_13_170]) ).

cnf(refute_13_172,plain,
    ( h4(op1(e11,e11)) != h2(e11)
    | h4(op1(e11,e11)) != h4(e10)
    | h4(e10) = h2(e11) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) ),[0],$fot(h4(e10))]]) ).

cnf(refute_13_173,plain,
    ( h4(op1(e11,e11)) != h2(e11)
    | h4(e10) = h2(e11) ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(e10)) )],[refute_13_171,refute_13_172]) ).

cnf(refute_13_174,plain,
    h4(e10) = h2(e11),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_13_132,refute_13_173]) ).

cnf(refute_13_175,plain,
    ( h4(e10) != h2(e11)
    | op2(e21,e22) != h2(e11)
    | op2(e21,e22) = h4(e10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h4(e10)) ),[1],$fot(h2(e11))]]) ).

cnf(refute_13_176,plain,
    ( op2(e21,e22) != h2(e11)
    | op2(e21,e22) = h4(e10) ),
    inference(resolve,[$cnf( $equal(h4(e10),h2(e11)) )],[refute_13_174,refute_13_175]) ).

cnf(refute_13_177,plain,
    op2(e21,e22) != h2(e11),
    inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e10)) )],[refute_13_176,refute_13_76]) ).

cnf(refute_13_178,plain,
    h1(e13) = op2(e20,e20),
    inference(canonicalize,[],[normalize_13_39]) ).

cnf(refute_13_179,plain,
    ( h1(e13) != op2(e20,e20)
    | op2(e20,e20) = h1(e13) ),
    inference(subst,[],[refute_13_4:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_13_180,plain,
    op2(e20,e20) = h1(e13),
    inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_13_178,refute_13_179]) ).

cnf(refute_13_181,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(canonicalize,[],[normalize_13_43]) ).

cnf(refute_13_182,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).

cnf(refute_13_183,plain,
    ( op2(e21,e21) != e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_13_81,refute_13_182]) ).

cnf(refute_13_184,plain,
    ( h2(e13) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_13_181,refute_13_183]) ).

cnf(refute_13_185,plain,
    ( op2(e22,e22) != e20
    | op2(e22,e22) != e23
    | e23 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).

cnf(refute_13_186,plain,
    ( op2(e22,e22) != e20
    | e23 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_6,refute_13_185]) ).

cnf(refute_13_187,plain,
    ( e23 = e20
    | h2(e13) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_13_184,refute_13_186]) ).

cnf(refute_13_188,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e23) != h4(e13)
    | h4(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(h4(e13))]]) ).

cnf(refute_13_189,plain,
    ( op2(e23,e23) != e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_13_40,refute_13_188]) ).

cnf(refute_13_190,plain,
    ( e23 = e20
    | h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_13_187,refute_13_189]) ).

cnf(refute_13_191,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_13_44]) ).

cnf(refute_13_192,plain,
    ( e23 != e20
    | e20 = e23 ),
    inference(subst,[],[refute_13_4:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).

cnf(refute_13_193,plain,
    e23 != e20,
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_13_192,refute_13_191]) ).

cnf(refute_13_194,plain,
    ( h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(e23,e20) )],[refute_13_190,refute_13_193]) ).

cnf(refute_13_195,plain,
    ( h4(e13) != e20
    | h4(e13) != e21
    | e21 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),e20) ),[0],$fot(e21)]]) ).

cnf(refute_13_196,plain,
    ( h4(e13) != e20
    | e21 = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_13_61,refute_13_195]) ).

cnf(refute_13_197,plain,
    ( e21 = e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_13_194,refute_13_196]) ).

cnf(refute_13_198,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_13_45]) ).

cnf(refute_13_199,plain,
    ( e21 != e20
    | e20 = e21 ),
    inference(subst,[],[refute_13_4:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).

cnf(refute_13_200,plain,
    e21 != e20,
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_13_199,refute_13_198]) ).

cnf(refute_13_201,plain,
    h2(e13) = e20,
    inference(resolve,[$cnf( $equal(e21,e20) )],[refute_13_197,refute_13_200]) ).

cnf(refute_13_202,plain,
    op2(e20,h2(e13)) = op2(e20,h2(e13)),
    introduced(tautology,[refl,[$fot(op2(e20,h2(e13)))]]) ).

cnf(refute_13_203,plain,
    ( h2(e13) != e20
    | op2(e20,h2(e13)) != op2(e20,h2(e13))
    | op2(e20,h2(e13)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,h2(e13))) ),[1,1],$fot(e20)]]) ).

cnf(refute_13_204,plain,
    ( h2(e13) != e20
    | op2(e20,h2(e13)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,h2(e13))) )],[refute_13_202,refute_13_203]) ).

cnf(refute_13_205,plain,
    op2(e20,h2(e13)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_13_201,refute_13_204]) ).

cnf(refute_13_206,plain,
    op2(h2(e13),h2(e13)) = op2(h2(e13),h2(e13)),
    introduced(tautology,[refl,[$fot(op2(h2(e13),h2(e13)))]]) ).

cnf(refute_13_207,plain,
    ( h2(e13) != e20
    | op2(h2(e13),h2(e13)) != op2(h2(e13),h2(e13))
    | op2(h2(e13),h2(e13)) = op2(e20,h2(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(h2(e13),h2(e13))) ),[1,0],$fot(e20)]]) ).

cnf(refute_13_208,plain,
    ( h2(e13) != e20
    | op2(h2(e13),h2(e13)) = op2(e20,h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(h2(e13),h2(e13))) )],[refute_13_206,refute_13_207]) ).

cnf(refute_13_209,plain,
    op2(h2(e13),h2(e13)) = op2(e20,h2(e13)),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_13_201,refute_13_208]) ).

cnf(refute_13_210,plain,
    ( op2(e20,h2(e13)) != op2(e20,e20)
    | op2(h2(e13),h2(e13)) != op2(e20,h2(e13))
    | op2(h2(e13),h2(e13)) = op2(e20,e20) ),
    inference(subst,[],[refute_13_50:[bind(X,$fot(op2(h2(e13),h2(e13)))),bind(Y,$fot(op2(e20,h2(e13)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_13_211,plain,
    ( op2(e20,h2(e13)) != op2(e20,e20)
    | op2(h2(e13),h2(e13)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(e20,h2(e13))) )],[refute_13_209,refute_13_210]) ).

cnf(refute_13_212,plain,
    op2(h2(e13),h2(e13)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,e20)) )],[refute_13_205,refute_13_211]) ).

cnf(refute_13_213,plain,
    ( op2(e20,e20) != h1(e13)
    | op2(h2(e13),h2(e13)) != op2(e20,e20)
    | op2(h2(e13),h2(e13)) = h1(e13) ),
    inference(subst,[],[refute_13_50:[bind(X,$fot(op2(h2(e13),h2(e13)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).

cnf(refute_13_214,plain,
    ( op2(e20,e20) != h1(e13)
    | op2(h2(e13),h2(e13)) = h1(e13) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(e20,e20)) )],[refute_13_212,refute_13_213]) ).

cnf(refute_13_215,plain,
    op2(h2(e13),h2(e13)) = h1(e13),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_180,refute_13_214]) ).

cnf(refute_13_216,plain,
    ( h2(e11) != op2(h2(e13),h2(e13))
    | op2(h2(e13),h2(e13)) != h1(e13)
    | h2(e11) = h1(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h1(e13)) ),[0],$fot(op2(h2(e13),h2(e13)))]]) ).

cnf(refute_13_217,plain,
    ( h2(e11) != op2(h2(e13),h2(e13))
    | h2(e11) = h1(e13) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),h1(e13)) )],[refute_13_215,refute_13_216]) ).

cnf(refute_13_218,plain,
    h2(e11) = h1(e13),
    inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_13_95,refute_13_217]) ).

cnf(refute_13_219,plain,
    ( h2(e11) != h1(e13)
    | op2(e21,e22) != h1(e13)
    | op2(e21,e22) = h2(e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h2(e11)) ),[1],$fot(h1(e13))]]) ).

cnf(refute_13_220,plain,
    ( op2(e21,e22) != h1(e13)
    | op2(e21,e22) = h2(e11) ),
    inference(resolve,[$cnf( $equal(h2(e11),h1(e13)) )],[refute_13_218,refute_13_219]) ).

cnf(refute_13_221,plain,
    op2(e21,e22) != h1(e13),
    inference(resolve,[$cnf( $equal(op2(e21,e22),h2(e11)) )],[refute_13_220,refute_13_177]) ).

cnf(refute_13_222,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(canonicalize,[],[normalize_13_48]) ).

cnf(refute_13_223,plain,
    ( e23 != e23
    | op2(e22,e22) != e23
    | op2(e22,e22) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(e23)]]) ).

cnf(refute_13_224,plain,
    ( e23 != e23
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_6,refute_13_223]) ).

cnf(refute_13_225,plain,
    ( e23 != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_224,refute_13_222]) ).

cnf(refute_13_226,plain,
    ( op2(e20,e20) != e22
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).

cnf(refute_13_227,plain,
    ( op2(e20,e20) != e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_180,refute_13_226]) ).

cnf(refute_13_228,plain,
    ( e23 != e23
    | h1(e13) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_13_225,refute_13_227]) ).

cnf(refute_13_229,plain,
    ( op2(e21,e21) != e22
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).

cnf(refute_13_230,plain,
    ( op2(e21,e21) != e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_13_81,refute_13_229]) ).

cnf(refute_13_231,plain,
    ( e23 != e23
    | h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_13_228,refute_13_230]) ).

cnf(refute_13_232,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_13_233,plain,
    ( h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_13_232,refute_13_231]) ).

cnf(refute_13_234,plain,
    ( h2(e13) != e20
    | h2(e13) != e22
    | e20 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[0],$fot(e20)]]) ).

cnf(refute_13_235,plain,
    ( h2(e13) != e22
    | e20 = e22 ),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_13_201,refute_13_234]) ).

cnf(refute_13_236,plain,
    ( e20 = e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_13_233,refute_13_235]) ).

cnf(refute_13_237,plain,
    e20 != e22,
    inference(canonicalize,[],[normalize_13_49]) ).

cnf(refute_13_238,plain,
    h1(e13) = e22,
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_13_236,refute_13_237]) ).

cnf(refute_13_239,plain,
    ( h1(e13) != e22
    | op2(e21,e22) != e22
    | op2(e21,e22) = h1(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h1(e13)) ),[1],$fot(e22)]]) ).

cnf(refute_13_240,plain,
    ( op2(e21,e22) != e22
    | op2(e21,e22) = h1(e13) ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_13_238,refute_13_239]) ).

cnf(refute_13_241,plain,
    op2(e21,e22) != e22,
    inference(resolve,[$cnf( $equal(op2(e21,e22),h1(e13)) )],[refute_13_240,refute_13_221]) ).

cnf(refute_13_242,plain,
    op2(e21,e22) = e21,
    inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_13_34,refute_13_241]) ).

cnf(refute_13_243,plain,
    ( op2(e21,e22) != e21
    | op2(e21,e22) != e22
    | e21 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),e22) ),[0],$fot(e21)]]) ).

cnf(refute_13_244,plain,
    ( op2(e21,e22) != e22
    | e21 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e21) )],[refute_13_242,refute_13_243]) ).

cnf(refute_13_245,plain,
    ( e21 = e22
    | op2(e20,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e22),e22) )],[refute_13_13,refute_13_244]) ).

cnf(refute_13_246,plain,
    ( op2(e23,e22) != e20
    | op2(e23,e22) != e22
    | e20 = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e22) ),[0],$fot(e20)]]) ).

cnf(refute_13_247,plain,
    ( op2(e23,e22) != e22
    | e20 = e22 ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_13_30,refute_13_246]) ).

cnf(refute_13_248,plain,
    ( e20 = e22
    | e21 = e22
    | op2(e20,e22) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e23,e22),e22) )],[refute_13_245,refute_13_247]) ).

cnf(refute_13_249,plain,
    ( e21 = e22
    | op2(e20,e22) = e22 ),
    inference(resolve,[$cnf( $equal(e20,e22) )],[refute_13_248,refute_13_237]) ).

cnf(refute_13_250,plain,
    e21 != e22,
    inference(canonicalize,[],[normalize_13_50]) ).

cnf(refute_13_251,plain,
    op2(e20,e22) = e22,
    inference(resolve,[$cnf( $equal(e21,e22) )],[refute_13_249,refute_13_250]) ).

cnf(refute_13_252,plain,
    op2(e20,e20) != op2(e20,e22),
    inference(canonicalize,[],[normalize_13_51]) ).

cnf(refute_13_253,plain,
    ( h1(e13) != op2(e20,e22)
    | op2(e20,e20) != h1(e13)
    | op2(e20,e20) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).

cnf(refute_13_254,plain,
    ( h1(e13) != op2(e20,e22)
    | op2(e20,e20) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_180,refute_13_253]) ).

cnf(refute_13_255,plain,
    h1(e13) != op2(e20,e22),
    inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_13_254,refute_13_252]) ).

cnf(refute_13_256,plain,
    ( e22 != op2(e20,e22)
    | h1(e13) != e22
    | h1(e13) = op2(e20,e22) ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e13),e22) ),[1],$fot(op2(e20,e22))]]) ).

cnf(refute_13_257,plain,
    ( e22 != op2(e20,e22)
    | h1(e13) = op2(e20,e22) ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_13_238,refute_13_256]) ).

cnf(refute_13_258,plain,
    e22 != op2(e20,e22),
    inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_13_257,refute_13_255]) ).

cnf(refute_13_259,plain,
    ( op2(e20,e22) != e22
    | e22 = op2(e20,e22) ),
    inference(subst,[],[refute_13_4:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(e22))]]) ).

cnf(refute_13_260,plain,
    op2(e20,e22) != e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e22)) )],[refute_13_259,refute_13_258]) ).

cnf(refute_13_261,plain,
    $false,
    inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_13_251,refute_13_260]) ).

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

fof(normalize_14_2,plain,
    h1(e12) = e20,
    inference(conjunct,[],[normalize_14_1]) ).

fof(normalize_14_3,plain,
    ( h2(e10) = op2(op2(e21,e21),e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = e21
    & h2(e13) = op2(e21,e21) ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_14_4,plain,
    h2(e12) = e21,
    inference(conjunct,[],[normalize_14_3]) ).

fof(normalize_14_5,plain,
    ( h3(e10) = op2(op2(e22,e22),e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = e22
    & h3(e13) = op2(e22,e22) ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_14_6,plain,
    h3(e12) = 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,
    ( e10 = op1(op1(e12,e12),e12)
    & e11 = op1(op1(e12,e12),op1(e12,e12))
    & e13 = op1(e12,e12) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_14_10,plain,
    e10 = op1(op1(e12,e12),e12),
    inference(conjunct,[],[normalize_14_9]) ).

fof(normalize_14_11,plain,
    e13 = op1(e12,e12),
    inference(conjunct,[],[normalize_14_9]) ).

fof(normalize_14_12,plain,
    ( h4(e10) = op2(op2(e23,e23),e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = e23
    & h4(e13) = op2(e23,e23) ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_14_13,plain,
    h4(e10) = op2(op2(e23,e23),e23),
    inference(conjunct,[],[normalize_14_12]) ).

fof(normalize_14_14,plain,
    ( e20 = op2(op2(e22,e22),e22)
    & e21 = op2(op2(e22,e22),op2(e22,e22))
    & e23 = op2(e22,e22) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_14_15,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(conjunct,[],[normalize_14_14]) ).

fof(normalize_14_16,plain,
    h4(e13) = op2(e23,e23),
    inference(conjunct,[],[normalize_14_12]) ).

fof(normalize_14_17,plain,
    e23 = op2(e22,e22),
    inference(conjunct,[],[normalize_14_14]) ).

fof(normalize_14_18,plain,
    h4(e12) = e23,
    inference(conjunct,[],[normalize_14_12]) ).

cnf(refute_14_0,plain,
    h4(op1(e13,e12)) != op2(h4(e13),h4(e12)),
    inference(canonicalize,[],[normalize_14_8]) ).

cnf(refute_14_1,plain,
    e10 = op1(op1(e12,e12),e12),
    inference(canonicalize,[],[normalize_14_10]) ).

cnf(refute_14_2,plain,
    e13 = op1(e12,e12),
    inference(canonicalize,[],[normalize_14_11]) ).

cnf(refute_14_3,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_14_4,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_14_5,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_14_3,refute_14_4]) ).

cnf(refute_14_6,plain,
    ( e13 != op1(e12,e12)
    | op1(e12,e12) = e13 ),
    inference(subst,[],[refute_14_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).

cnf(refute_14_7,plain,
    op1(e12,e12) = e13,
    inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_14_2,refute_14_6]) ).

cnf(refute_14_8,plain,
    op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
    introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).

cnf(refute_14_9,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
    | op1(op1(e12,e12),e12) = op1(e13,e12) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).

cnf(refute_14_10,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),e12) = op1(e13,e12) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_14_8,refute_14_9]) ).

cnf(refute_14_11,plain,
    op1(op1(e12,e12),e12) = op1(e13,e12),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_14_7,refute_14_10]) ).

cnf(refute_14_12,plain,
    ( e10 != op1(op1(e12,e12),e12)
    | op1(op1(e12,e12),e12) != op1(e13,e12)
    | e10 = op1(e13,e12) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e13,e12)) ),[0],$fot(op1(op1(e12,e12),e12))]]) ).

cnf(refute_14_13,plain,
    ( e10 != op1(op1(e12,e12),e12)
    | e10 = op1(e13,e12) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_14_11,refute_14_12]) ).

cnf(refute_14_14,plain,
    e10 = op1(e13,e12),
    inference(resolve,[$cnf( $equal(e10,op1(op1(e12,e12),e12)) )],[refute_14_1,refute_14_13]) ).

cnf(refute_14_15,plain,
    ( e10 != op1(e13,e12)
    | op1(e13,e12) = e10 ),
    inference(subst,[],[refute_14_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e12)))]]) ).

cnf(refute_14_16,plain,
    op1(e13,e12) = e10,
    inference(resolve,[$cnf( $equal(e10,op1(e13,e12)) )],[refute_14_14,refute_14_15]) ).

cnf(refute_14_17,plain,
    h4(op1(e13,e12)) = h4(op1(e13,e12)),
    introduced(tautology,[refl,[$fot(h4(op1(e13,e12)))]]) ).

cnf(refute_14_18,plain,
    ( h4(op1(e13,e12)) != h4(op1(e13,e12))
    | op1(e13,e12) != e10
    | h4(op1(e13,e12)) = h4(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e12)),h4(op1(e13,e12))) ),[1,0],$fot(e10)]]) ).

cnf(refute_14_19,plain,
    ( op1(e13,e12) != e10
    | h4(op1(e13,e12)) = h4(e10) ),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),h4(op1(e13,e12))) )],[refute_14_17,refute_14_18]) ).

cnf(refute_14_20,plain,
    h4(op1(e13,e12)) = h4(e10),
    inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_14_16,refute_14_19]) ).

cnf(refute_14_21,plain,
    ( h4(e10) != op2(h4(e13),h4(e12))
    | h4(op1(e13,e12)) != h4(e10)
    | h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e12)),h4(e10)) ),[1],$fot(op2(h4(e13),h4(e12)))]]) ).

cnf(refute_14_22,plain,
    ( h4(e10) != op2(h4(e13),h4(e12))
    | h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),h4(e10)) )],[refute_14_20,refute_14_21]) ).

cnf(refute_14_23,plain,
    h4(e10) = op2(op2(e23,e23),e23),
    inference(canonicalize,[],[normalize_14_13]) ).

cnf(refute_14_24,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(canonicalize,[],[normalize_14_15]) ).

cnf(refute_14_25,plain,
    h4(e13) = op2(e23,e23),
    inference(canonicalize,[],[normalize_14_16]) ).

cnf(refute_14_26,plain,
    ( h4(e13) != op2(e23,e23)
    | op2(e23,e23) = h4(e13) ),
    inference(subst,[],[refute_14_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_14_27,plain,
    op2(e23,e23) = h4(e13),
    inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_14_25,refute_14_26]) ).

cnf(refute_14_28,plain,
    e23 = op2(e22,e22),
    inference(canonicalize,[],[normalize_14_17]) ).

cnf(refute_14_29,plain,
    ( e23 != op2(e22,e22)
    | op2(e22,e22) = e23 ),
    inference(subst,[],[refute_14_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_14_30,plain,
    op2(e22,e22) = e23,
    inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_14_28,refute_14_29]) ).

cnf(refute_14_31,plain,
    op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).

cnf(refute_14_32,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).

cnf(refute_14_33,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_14_31,refute_14_32]) ).

cnf(refute_14_34,plain,
    op2(e23,op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_14_30,refute_14_33]) ).

cnf(refute_14_35,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_14_36,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).

cnf(refute_14_37,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_14_35,refute_14_36]) ).

cnf(refute_14_38,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_14_30,refute_14_37]) ).

cnf(refute_14_39,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_14_40,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_14_5,refute_14_39]) ).

cnf(refute_14_41,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(subst,[],[refute_14_40:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).

cnf(refute_14_42,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_14_38,refute_14_41]) ).

cnf(refute_14_43,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_14_34,refute_14_42]) ).

cnf(refute_14_44,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(subst,[],[refute_14_40:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).

cnf(refute_14_45,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_14_43,refute_14_44]) ).

cnf(refute_14_46,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_14_27,refute_14_45]) ).

cnf(refute_14_47,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
    | e21 = h4(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_14_48,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | e21 = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_14_46,refute_14_47]) ).

cnf(refute_14_49,plain,
    e21 = h4(e13),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_14_24,refute_14_48]) ).

cnf(refute_14_50,plain,
    ( e21 != h4(e13)
    | h4(e13) = e21 ),
    inference(subst,[],[refute_14_5:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).

cnf(refute_14_51,plain,
    h4(e13) = e21,
    inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_14_49,refute_14_50]) ).

cnf(refute_14_52,plain,
    ( h4(e13) != e21
    | op2(e23,e23) != h4(e13)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_14_40:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).

cnf(refute_14_53,plain,
    ( h4(e13) != e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_14_27,refute_14_52]) ).

cnf(refute_14_54,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_14_51,refute_14_53]) ).

cnf(refute_14_55,plain,
    op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
    introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).

cnf(refute_14_56,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
    | op2(op2(e23,e23),e23) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e21)]]) ).

cnf(refute_14_57,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),e23) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_14_55,refute_14_56]) ).

cnf(refute_14_58,plain,
    op2(op2(e23,e23),e23) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_14_54,refute_14_57]) ).

cnf(refute_14_59,plain,
    ( h4(e10) != op2(op2(e23,e23),e23)
    | op2(op2(e23,e23),e23) != op2(e21,e23)
    | h4(e10) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(e21,e23)) ),[0],$fot(op2(op2(e23,e23),e23))]]) ).

cnf(refute_14_60,plain,
    ( h4(e10) != op2(op2(e23,e23),e23)
    | h4(e10) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e21,e23)) )],[refute_14_58,refute_14_59]) ).

cnf(refute_14_61,plain,
    h4(e10) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,e23),e23)) )],[refute_14_23,refute_14_60]) ).

cnf(refute_14_62,plain,
    ( h4(e10) != op2(e21,e23)
    | op2(e21,e23) = h4(e10) ),
    inference(subst,[],[refute_14_5:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e21,e23)))]]) ).

cnf(refute_14_63,plain,
    op2(e21,e23) = h4(e10),
    inference(resolve,[$cnf( $equal(h4(e10),op2(e21,e23)) )],[refute_14_61,refute_14_62]) ).

cnf(refute_14_64,plain,
    h4(e12) = e23,
    inference(canonicalize,[],[normalize_14_18]) ).

cnf(refute_14_65,plain,
    op2(e21,h4(e12)) = op2(e21,h4(e12)),
    introduced(tautology,[refl,[$fot(op2(e21,h4(e12)))]]) ).

cnf(refute_14_66,plain,
    ( h4(e12) != e23
    | op2(e21,h4(e12)) != op2(e21,h4(e12))
    | op2(e21,h4(e12)) = op2(e21,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) ),[1,1],$fot(e23)]]) ).

cnf(refute_14_67,plain,
    ( h4(e12) != e23
    | op2(e21,h4(e12)) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,h4(e12))) )],[refute_14_65,refute_14_66]) ).

cnf(refute_14_68,plain,
    op2(e21,h4(e12)) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_14_64,refute_14_67]) ).

cnf(refute_14_69,plain,
    op2(h4(e13),h4(e12)) = op2(h4(e13),h4(e12)),
    introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e12)))]]) ).

cnf(refute_14_70,plain,
    ( h4(e13) != e21
    | op2(h4(e13),h4(e12)) != op2(h4(e13),h4(e12))
    | op2(h4(e13),h4(e12)) = op2(e21,h4(e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(h4(e13),h4(e12))) ),[1,0],$fot(e21)]]) ).

cnf(refute_14_71,plain,
    ( h4(e13) != e21
    | op2(h4(e13),h4(e12)) = op2(e21,h4(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(h4(e13),h4(e12))) )],[refute_14_69,refute_14_70]) ).

cnf(refute_14_72,plain,
    op2(h4(e13),h4(e12)) = op2(e21,h4(e12)),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_14_51,refute_14_71]) ).

cnf(refute_14_73,plain,
    ( op2(e21,h4(e12)) != op2(e21,e23)
    | op2(h4(e13),h4(e12)) != op2(e21,h4(e12))
    | op2(h4(e13),h4(e12)) = op2(e21,e23) ),
    inference(subst,[],[refute_14_40:[bind(X,$fot(op2(h4(e13),h4(e12)))),bind(Y,$fot(op2(e21,h4(e12)))),bind(Z,$fot(op2(e21,e23)))]]) ).

cnf(refute_14_74,plain,
    ( op2(e21,h4(e12)) != op2(e21,e23)
    | op2(h4(e13),h4(e12)) = op2(e21,e23) ),
    inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(e21,h4(e12))) )],[refute_14_72,refute_14_73]) ).

cnf(refute_14_75,plain,
    op2(h4(e13),h4(e12)) = op2(e21,e23),
    inference(resolve,[$cnf( $equal(op2(e21,h4(e12)),op2(e21,e23)) )],[refute_14_68,refute_14_74]) ).

cnf(refute_14_76,plain,
    ( op2(e21,e23) != h4(e10)
    | op2(h4(e13),h4(e12)) != op2(e21,e23)
    | op2(h4(e13),h4(e12)) = h4(e10) ),
    inference(subst,[],[refute_14_40:[bind(X,$fot(op2(h4(e13),h4(e12)))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(h4(e10)))]]) ).

cnf(refute_14_77,plain,
    ( op2(e21,e23) != h4(e10)
    | op2(h4(e13),h4(e12)) = h4(e10) ),
    inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(e21,e23)) )],[refute_14_75,refute_14_76]) ).

cnf(refute_14_78,plain,
    op2(h4(e13),h4(e12)) = h4(e10),
    inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e10)) )],[refute_14_63,refute_14_77]) ).

cnf(refute_14_79,plain,
    ( h4(e10) != h4(e10)
    | op2(h4(e13),h4(e12)) != h4(e10)
    | h4(e10) = op2(h4(e13),h4(e12)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),op2(h4(e13),h4(e12))) ),[1],$fot(h4(e10))]]) ).

cnf(refute_14_80,plain,
    ( h4(e10) != h4(e10)
    | h4(e10) = op2(h4(e13),h4(e12)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),h4(e10)) )],[refute_14_78,refute_14_79]) ).

cnf(refute_14_81,plain,
    ( h4(e10) != h4(e10)
    | h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
    inference(resolve,[$cnf( $equal(h4(e10),op2(h4(e13),h4(e12))) )],[refute_14_80,refute_14_22]) ).

cnf(refute_14_82,plain,
    h4(e10) != h4(e10),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),op2(h4(e13),h4(e12))) )],[refute_14_81,refute_14_0]) ).

cnf(refute_14_83,plain,
    h4(e10) = h4(e10),
    introduced(tautology,[refl,[$fot(h4(e10))]]) ).

cnf(refute_14_84,plain,
    $false,
    inference(resolve,[$cnf( $equal(h4(e10),h4(e10)) )],[refute_14_83,refute_14_82]) ).

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

fof(normalize_15_2,plain,
    h1(e12) = e20,
    inference(conjunct,[],[normalize_15_1]) ).

fof(normalize_15_3,plain,
    ( h2(e10) = op2(op2(e21,e21),e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = e21
    & h2(e13) = op2(e21,e21) ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_15_4,plain,
    h2(e12) = e21,
    inference(conjunct,[],[normalize_15_3]) ).

fof(normalize_15_5,plain,
    ( h3(e10) = op2(op2(e22,e22),e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = e22
    & h3(e13) = op2(e22,e22) ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_15_6,plain,
    h3(e12) = 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(op2(e23,e23),e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = e23
    & h4(e13) = op2(e23,e23) ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_15_10,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_15_9]) ).

fof(normalize_15_11,plain,
    h2(e13) = op2(e21,e21),
    inference(conjunct,[],[normalize_15_3]) ).

fof(normalize_15_12,plain,
    ( e20 = op2(op2(e22,e22),e22)
    & e21 = op2(op2(e22,e22),op2(e22,e22))
    & e23 = op2(e22,e22) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_15_13,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(conjunct,[],[normalize_15_12]) ).

fof(normalize_15_14,plain,
    h4(e13) = op2(e23,e23),
    inference(conjunct,[],[normalize_15_9]) ).

fof(normalize_15_15,plain,
    e23 = op2(e22,e22),
    inference(conjunct,[],[normalize_15_12]) ).

fof(normalize_15_16,plain,
    ( e10 = op1(op1(e12,e12),e12)
    & e11 = op1(op1(e12,e12),op1(e12,e12))
    & e13 = op1(e12,e12) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_15_17,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(conjunct,[],[normalize_15_16]) ).

fof(normalize_15_18,plain,
    e13 = op1(e12,e12),
    inference(conjunct,[],[normalize_15_16]) ).

cnf(refute_15_0,plain,
    h4(op1(e13,e13)) != op2(h4(e13),h4(e13)),
    inference(canonicalize,[],[normalize_15_8]) ).

cnf(refute_15_1,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_15_10]) ).

cnf(refute_15_2,plain,
    h2(e13) = op2(e21,e21),
    inference(canonicalize,[],[normalize_15_11]) ).

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,
    ( h2(e13) != op2(e21,e21)
    | op2(e21,e21) = h2(e13) ),
    inference(subst,[],[refute_15_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_15_7,plain,
    op2(e21,e21) = h2(e13),
    inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_15_2,refute_15_6]) ).

cnf(refute_15_8,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(canonicalize,[],[normalize_15_13]) ).

cnf(refute_15_9,plain,
    h4(e13) = op2(e23,e23),
    inference(canonicalize,[],[normalize_15_14]) ).

cnf(refute_15_10,plain,
    ( h4(e13) != op2(e23,e23)
    | op2(e23,e23) = h4(e13) ),
    inference(subst,[],[refute_15_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_15_11,plain,
    op2(e23,e23) = h4(e13),
    inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_15_9,refute_15_10]) ).

cnf(refute_15_12,plain,
    e23 = op2(e22,e22),
    inference(canonicalize,[],[normalize_15_15]) ).

cnf(refute_15_13,plain,
    ( e23 != op2(e22,e22)
    | op2(e22,e22) = e23 ),
    inference(subst,[],[refute_15_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_15_14,plain,
    op2(e22,e22) = e23,
    inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_15_12,refute_15_13]) ).

cnf(refute_15_15,plain,
    op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).

cnf(refute_15_16,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).

cnf(refute_15_17,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_15_15,refute_15_16]) ).

cnf(refute_15_18,plain,
    op2(e23,op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_15_14,refute_15_17]) ).

cnf(refute_15_19,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_15_20,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).

cnf(refute_15_21,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_15_19,refute_15_20]) ).

cnf(refute_15_22,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_15_14,refute_15_21]) ).

cnf(refute_15_23,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_15_24,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_15_5,refute_15_23]) ).

cnf(refute_15_25,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(subst,[],[refute_15_24:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).

cnf(refute_15_26,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_15_22,refute_15_25]) ).

cnf(refute_15_27,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_15_18,refute_15_26]) ).

cnf(refute_15_28,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(subst,[],[refute_15_24:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).

cnf(refute_15_29,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_15_27,refute_15_28]) ).

cnf(refute_15_30,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_15_11,refute_15_29]) ).

cnf(refute_15_31,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
    | e21 = h4(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_15_32,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | e21 = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_15_30,refute_15_31]) ).

cnf(refute_15_33,plain,
    e21 = h4(e13),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_15_8,refute_15_32]) ).

cnf(refute_15_34,plain,
    ( e21 != h4(e13)
    | h4(e13) = e21 ),
    inference(subst,[],[refute_15_5:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).

cnf(refute_15_35,plain,
    h4(e13) = e21,
    inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_15_33,refute_15_34]) ).

cnf(refute_15_36,plain,
    ( h4(e13) != e21
    | op2(e23,e23) != h4(e13)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_15_24:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).

cnf(refute_15_37,plain,
    ( h4(e13) != e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_15_11,refute_15_36]) ).

cnf(refute_15_38,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_15_35,refute_15_37]) ).

cnf(refute_15_39,plain,
    op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).

cnf(refute_15_40,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
    | op2(e23,e23) != e21
    | op2(e21,op2(e23,e23)) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).

cnf(refute_15_41,plain,
    ( op2(e23,e23) != e21
    | op2(e21,op2(e23,e23)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_15_39,refute_15_40]) ).

cnf(refute_15_42,plain,
    op2(e21,op2(e23,e23)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_15_38,refute_15_41]) ).

cnf(refute_15_43,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_15_44,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,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(e21)]]) ).

cnf(refute_15_45,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_15_43,refute_15_44]) ).

cnf(refute_15_46,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_15_38,refute_15_45]) ).

cnf(refute_15_47,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
    inference(subst,[],[refute_15_24:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).

cnf(refute_15_48,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_15_46,refute_15_47]) ).

cnf(refute_15_49,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_15_42,refute_15_48]) ).

cnf(refute_15_50,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
    inference(subst,[],[refute_15_24:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).

cnf(refute_15_51,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_15_49,refute_15_50]) ).

cnf(refute_15_52,plain,
    op2(op2(e23,e23),op2(e23,e23)) = h2(e13),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_15_7,refute_15_51]) ).

cnf(refute_15_53,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != h2(e13)
    | h4(e11) = h2(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h2(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_15_54,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | h4(e11) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e13)) )],[refute_15_52,refute_15_53]) ).

cnf(refute_15_55,plain,
    h4(e11) = h2(e13),
    inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_15_1,refute_15_54]) ).

cnf(refute_15_56,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(canonicalize,[],[normalize_15_17]) ).

cnf(refute_15_57,plain,
    e13 = op1(e12,e12),
    inference(canonicalize,[],[normalize_15_18]) ).

cnf(refute_15_58,plain,
    ( e13 != op1(e12,e12)
    | op1(e12,e12) = e13 ),
    inference(subst,[],[refute_15_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).

cnf(refute_15_59,plain,
    op1(e12,e12) = e13,
    inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_15_57,refute_15_58]) ).

cnf(refute_15_60,plain,
    op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).

cnf(refute_15_61,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).

cnf(refute_15_62,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_15_60,refute_15_61]) ).

cnf(refute_15_63,plain,
    op1(e13,op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_15_59,refute_15_62]) ).

cnf(refute_15_64,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_15_65,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).

cnf(refute_15_66,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_15_64,refute_15_65]) ).

cnf(refute_15_67,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_15_59,refute_15_66]) ).

cnf(refute_15_68,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(subst,[],[refute_15_24:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).

cnf(refute_15_69,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_15_67,refute_15_68]) ).

cnf(refute_15_70,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_15_63,refute_15_69]) ).

cnf(refute_15_71,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
    | e11 = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_15_72,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | e11 = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_15_70,refute_15_71]) ).

cnf(refute_15_73,plain,
    e11 = op1(e13,e13),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_15_56,refute_15_72]) ).

cnf(refute_15_74,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_15_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_15_75,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_15_73,refute_15_74]) ).

cnf(refute_15_76,plain,
    h4(op1(e13,e13)) = h4(op1(e13,e13)),
    introduced(tautology,[refl,[$fot(h4(op1(e13,e13)))]]) ).

cnf(refute_15_77,plain,
    ( h4(op1(e13,e13)) != h4(op1(e13,e13))
    | op1(e13,e13) != e11
    | h4(op1(e13,e13)) = h4(e11) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e13)),h4(op1(e13,e13))) ),[1,0],$fot(e11)]]) ).

cnf(refute_15_78,plain,
    ( op1(e13,e13) != e11
    | h4(op1(e13,e13)) = h4(e11) ),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),h4(op1(e13,e13))) )],[refute_15_76,refute_15_77]) ).

cnf(refute_15_79,plain,
    h4(op1(e13,e13)) = h4(e11),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_15_75,refute_15_78]) ).

cnf(refute_15_80,plain,
    ( h4(e11) != h2(e13)
    | h4(op1(e13,e13)) != h4(e11)
    | h4(op1(e13,e13)) = h2(e13) ),
    inference(subst,[],[refute_15_24:[bind(X,$fot(h4(op1(e13,e13)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(h2(e13)))]]) ).

cnf(refute_15_81,plain,
    ( h4(e11) != h2(e13)
    | h4(op1(e13,e13)) = h2(e13) ),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),h4(e11)) )],[refute_15_79,refute_15_80]) ).

cnf(refute_15_82,plain,
    h4(op1(e13,e13)) = h2(e13),
    inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_15_55,refute_15_81]) ).

cnf(refute_15_83,plain,
    ( h2(e13) != op2(h4(e13),h4(e13))
    | h4(op1(e13,e13)) != h2(e13)
    | h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e13)),h2(e13)) ),[1],$fot(op2(h4(e13),h4(e13)))]]) ).

cnf(refute_15_84,plain,
    ( h2(e13) != op2(h4(e13),h4(e13))
    | h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),h2(e13)) )],[refute_15_82,refute_15_83]) ).

cnf(refute_15_85,plain,
    op2(e21,h4(e13)) = op2(e21,h4(e13)),
    introduced(tautology,[refl,[$fot(op2(e21,h4(e13)))]]) ).

cnf(refute_15_86,plain,
    ( h4(e13) != e21
    | op2(e21,h4(e13)) != op2(e21,h4(e13))
    | op2(e21,h4(e13)) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) ),[1,1],$fot(e21)]]) ).

cnf(refute_15_87,plain,
    ( h4(e13) != e21
    | op2(e21,h4(e13)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) )],[refute_15_85,refute_15_86]) ).

cnf(refute_15_88,plain,
    op2(e21,h4(e13)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_15_35,refute_15_87]) ).

cnf(refute_15_89,plain,
    op2(h4(e13),h4(e13)) = op2(h4(e13),h4(e13)),
    introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e13)))]]) ).

cnf(refute_15_90,plain,
    ( h4(e13) != e21
    | op2(h4(e13),h4(e13)) != op2(h4(e13),h4(e13))
    | op2(h4(e13),h4(e13)) = op2(e21,h4(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(h4(e13),h4(e13))) ),[1,0],$fot(e21)]]) ).

cnf(refute_15_91,plain,
    ( h4(e13) != e21
    | op2(h4(e13),h4(e13)) = op2(e21,h4(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(h4(e13),h4(e13))) )],[refute_15_89,refute_15_90]) ).

cnf(refute_15_92,plain,
    op2(h4(e13),h4(e13)) = op2(e21,h4(e13)),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_15_35,refute_15_91]) ).

cnf(refute_15_93,plain,
    ( op2(e21,h4(e13)) != op2(e21,e21)
    | op2(h4(e13),h4(e13)) != op2(e21,h4(e13))
    | op2(h4(e13),h4(e13)) = op2(e21,e21) ),
    inference(subst,[],[refute_15_24:[bind(X,$fot(op2(h4(e13),h4(e13)))),bind(Y,$fot(op2(e21,h4(e13)))),bind(Z,$fot(op2(e21,e21)))]]) ).

cnf(refute_15_94,plain,
    ( op2(e21,h4(e13)) != op2(e21,e21)
    | op2(h4(e13),h4(e13)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(e21,h4(e13))) )],[refute_15_92,refute_15_93]) ).

cnf(refute_15_95,plain,
    op2(h4(e13),h4(e13)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,e21)) )],[refute_15_88,refute_15_94]) ).

cnf(refute_15_96,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(h4(e13),h4(e13)) != op2(e21,e21)
    | op2(h4(e13),h4(e13)) = h2(e13) ),
    inference(subst,[],[refute_15_24:[bind(X,$fot(op2(h4(e13),h4(e13)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).

cnf(refute_15_97,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(h4(e13),h4(e13)) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(e21,e21)) )],[refute_15_95,refute_15_96]) ).

cnf(refute_15_98,plain,
    op2(h4(e13),h4(e13)) = h2(e13),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_15_7,refute_15_97]) ).

cnf(refute_15_99,plain,
    ( h2(e13) != h2(e13)
    | op2(h4(e13),h4(e13)) != h2(e13)
    | h2(e13) = op2(h4(e13),h4(e13)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(h4(e13),h4(e13))) ),[1],$fot(h2(e13))]]) ).

cnf(refute_15_100,plain,
    ( h2(e13) != h2(e13)
    | h2(e13) = op2(h4(e13),h4(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),h2(e13)) )],[refute_15_98,refute_15_99]) ).

cnf(refute_15_101,plain,
    ( h2(e13) != h2(e13)
    | h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
    inference(resolve,[$cnf( $equal(h2(e13),op2(h4(e13),h4(e13))) )],[refute_15_100,refute_15_84]) ).

cnf(refute_15_102,plain,
    h2(e13) != h2(e13),
    inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),op2(h4(e13),h4(e13))) )],[refute_15_101,refute_15_0]) ).

cnf(refute_15_103,plain,
    h2(e13) = h2(e13),
    introduced(tautology,[refl,[$fot(h2(e13))]]) ).

cnf(refute_15_104,plain,
    $false,
    inference(resolve,[$cnf( $equal(h2(e13),h2(e13)) )],[refute_15_103,refute_15_102]) ).

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

fof(normalize_16_1,plain,
    ( ( op2(e20,e20) != e21
      & op2(e21,e21) = e20 )
    | ( op2(e20,e20) != e22
      & op2(e22,e22) = e20 )
    | ( op2(e20,e20) != e23
      & op2(e23,e23) = e20 ) ),
    inference(conjunct,[],[normalize_16_0]) ).

fof(normalize_16_2,plain,
    ( ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e20,e20) != e23 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e23
      | op2(e22,e22) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e20) != e23
      | op2(e21,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e21) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e21) = e20
      | op2(e22,e22) = e20 )
    & ( op2(e21,e21) = e20
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 ) ),
    inference(clausify,[],[normalize_16_1]) ).

fof(normalize_16_3,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(conjunct,[],[normalize_16_2]) ).

fof(normalize_16_4,plain,
    ( h2(e10) = op2(op2(e21,e21),e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = e21
    & h2(e13) = op2(e21,e21) ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_16_5,plain,
    h2(e13) = op2(e21,e21),
    inference(conjunct,[],[normalize_16_4]) ).

fof(normalize_16_6,plain,
    ( e20 = op2(op2(e22,e22),e22)
    & e21 = op2(op2(e22,e22),op2(e22,e22))
    & e23 = op2(e22,e22) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_16_7,plain,
    e23 = op2(e22,e22),
    inference(conjunct,[],[normalize_16_6]) ).

fof(normalize_16_8,plain,
    ( h4(e10) = op2(op2(e23,e23),e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = e23
    & h4(e13) = op2(e23,e23) ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_16_9,plain,
    h4(e13) = op2(e23,e23),
    inference(conjunct,[],[normalize_16_8]) ).

fof(normalize_16_10,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_16_11,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_16_10]) ).

fof(normalize_16_12,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(conjunct,[],[normalize_16_6]) ).

fof(normalize_16_13,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_14,plain,
    ( h1(e10) = op2(op2(e20,e20),e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = e20
    & h1(e13) = op2(e20,e20) ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_16_15,plain,
    h1(e12) = e20,
    inference(conjunct,[],[normalize_16_14]) ).

fof(normalize_16_16,plain,
    h2(e12) = e21,
    inference(conjunct,[],[normalize_16_4]) ).

fof(normalize_16_17,plain,
    ( h3(e10) = op2(op2(e22,e22),e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = e22
    & h3(e13) = op2(e22,e22) ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_16_18,plain,
    h3(e12) = e22,
    inference(conjunct,[],[normalize_16_17]) ).

fof(normalize_16_19,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_13,normalize_16_15,normalize_16_16,normalize_16_18]) ).

fof(normalize_16_20,plain,
    h4(e13) != e20,
    inference(conjunct,[],[normalize_16_19]) ).

fof(normalize_16_21,plain,
    h4(e11) != e20,
    inference(conjunct,[],[normalize_16_19]) ).

fof(normalize_16_22,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_16_8]) ).

cnf(refute_16_0,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(canonicalize,[],[normalize_16_3]) ).

cnf(refute_16_1,plain,
    h2(e13) = op2(e21,e21),
    inference(canonicalize,[],[normalize_16_5]) ).

cnf(refute_16_2,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_16_3,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_16_4,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_16_2,refute_16_3]) ).

cnf(refute_16_5,plain,
    ( h2(e13) != op2(e21,e21)
    | op2(e21,e21) = h2(e13) ),
    inference(subst,[],[refute_16_4:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_16_6,plain,
    op2(e21,e21) = h2(e13),
    inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_16_1,refute_16_5]) ).

cnf(refute_16_7,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).

cnf(refute_16_8,plain,
    ( op2(e21,e21) != e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_16_6,refute_16_7]) ).

cnf(refute_16_9,plain,
    ( h2(e13) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_16_0,refute_16_8]) ).

cnf(refute_16_10,plain,
    e23 = op2(e22,e22),
    inference(canonicalize,[],[normalize_16_7]) ).

cnf(refute_16_11,plain,
    ( e23 != op2(e22,e22)
    | op2(e22,e22) = e23 ),
    inference(subst,[],[refute_16_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_16_12,plain,
    op2(e22,e22) = e23,
    inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_16_10,refute_16_11]) ).

cnf(refute_16_13,plain,
    ( op2(e22,e22) != e20
    | op2(e22,e22) != e23
    | e23 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).

cnf(refute_16_14,plain,
    ( op2(e22,e22) != e20
    | e23 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_16_12,refute_16_13]) ).

cnf(refute_16_15,plain,
    ( e23 = e20
    | h2(e13) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_16_9,refute_16_14]) ).

cnf(refute_16_16,plain,
    h4(e13) = op2(e23,e23),
    inference(canonicalize,[],[normalize_16_9]) ).

cnf(refute_16_17,plain,
    ( h4(e13) != op2(e23,e23)
    | op2(e23,e23) = h4(e13) ),
    inference(subst,[],[refute_16_4:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_16_18,plain,
    op2(e23,e23) = h4(e13),
    inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_16_16,refute_16_17]) ).

cnf(refute_16_19,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e23) != h4(e13)
    | h4(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(h4(e13))]]) ).

cnf(refute_16_20,plain,
    ( op2(e23,e23) != e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_16_18,refute_16_19]) ).

cnf(refute_16_21,plain,
    ( e23 = e20
    | h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_16_15,refute_16_20]) ).

cnf(refute_16_22,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_16_11]) ).

cnf(refute_16_23,plain,
    ( e23 != e20
    | e20 = e23 ),
    inference(subst,[],[refute_16_4:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).

cnf(refute_16_24,plain,
    e23 != e20,
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_16_23,refute_16_22]) ).

cnf(refute_16_25,plain,
    ( h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(e23,e20) )],[refute_16_21,refute_16_24]) ).

cnf(refute_16_26,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(canonicalize,[],[normalize_16_12]) ).

cnf(refute_16_27,plain,
    op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).

cnf(refute_16_28,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).

cnf(refute_16_29,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_16_27,refute_16_28]) ).

cnf(refute_16_30,plain,
    op2(e23,op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_16_12,refute_16_29]) ).

cnf(refute_16_31,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_16_32,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).

cnf(refute_16_33,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_16_31,refute_16_32]) ).

cnf(refute_16_34,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_16_12,refute_16_33]) ).

cnf(refute_16_35,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_16_36,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_16_4,refute_16_35]) ).

cnf(refute_16_37,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(subst,[],[refute_16_36:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).

cnf(refute_16_38,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_16_34,refute_16_37]) ).

cnf(refute_16_39,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_16_30,refute_16_38]) ).

cnf(refute_16_40,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(subst,[],[refute_16_36:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).

cnf(refute_16_41,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_16_39,refute_16_40]) ).

cnf(refute_16_42,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_16_18,refute_16_41]) ).

cnf(refute_16_43,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
    | e21 = h4(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_16_44,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | e21 = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_16_42,refute_16_43]) ).

cnf(refute_16_45,plain,
    e21 = h4(e13),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_16_26,refute_16_44]) ).

cnf(refute_16_46,plain,
    ( e21 != h4(e13)
    | h4(e13) = e21 ),
    inference(subst,[],[refute_16_4:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).

cnf(refute_16_47,plain,
    h4(e13) = e21,
    inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_16_45,refute_16_46]) ).

cnf(refute_16_48,plain,
    ( h4(e13) != e20
    | h4(e13) != e21
    | e21 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),e20) ),[0],$fot(e21)]]) ).

cnf(refute_16_49,plain,
    ( h4(e13) != e20
    | e21 = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_16_47,refute_16_48]) ).

cnf(refute_16_50,plain,
    ( e21 = e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_16_25,refute_16_49]) ).

cnf(refute_16_51,plain,
    h4(e13) != e20,
    inference(canonicalize,[],[normalize_16_20]) ).

cnf(refute_16_52,plain,
    ( e21 != e20
    | h4(e13) != e21
    | h4(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),e21) ),[1],$fot(e20)]]) ).

cnf(refute_16_53,plain,
    ( e21 != e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_16_47,refute_16_52]) ).

cnf(refute_16_54,plain,
    e21 != e20,
    inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_16_53,refute_16_51]) ).

cnf(refute_16_55,plain,
    h2(e13) = e20,
    inference(resolve,[$cnf( $equal(e21,e20) )],[refute_16_50,refute_16_54]) ).

cnf(refute_16_56,plain,
    h4(e11) != e20,
    inference(canonicalize,[],[normalize_16_21]) ).

cnf(refute_16_57,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_16_22]) ).

cnf(refute_16_58,plain,
    ( h4(e13) != e21
    | op2(e23,e23) != h4(e13)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_16_36:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).

cnf(refute_16_59,plain,
    ( h4(e13) != e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_16_18,refute_16_58]) ).

cnf(refute_16_60,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_16_47,refute_16_59]) ).

cnf(refute_16_61,plain,
    op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).

cnf(refute_16_62,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
    | op2(e23,e23) != e21
    | op2(e21,op2(e23,e23)) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).

cnf(refute_16_63,plain,
    ( op2(e23,e23) != e21
    | op2(e21,op2(e23,e23)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_16_61,refute_16_62]) ).

cnf(refute_16_64,plain,
    op2(e21,op2(e23,e23)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_16_60,refute_16_63]) ).

cnf(refute_16_65,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_16_66,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,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(e21)]]) ).

cnf(refute_16_67,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_16_65,refute_16_66]) ).

cnf(refute_16_68,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_16_60,refute_16_67]) ).

cnf(refute_16_69,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
    inference(subst,[],[refute_16_36:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).

cnf(refute_16_70,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_16_68,refute_16_69]) ).

cnf(refute_16_71,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_16_64,refute_16_70]) ).

cnf(refute_16_72,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
    inference(subst,[],[refute_16_36:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).

cnf(refute_16_73,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_16_71,refute_16_72]) ).

cnf(refute_16_74,plain,
    op2(op2(e23,e23),op2(e23,e23)) = h2(e13),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_16_6,refute_16_73]) ).

cnf(refute_16_75,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != h2(e13)
    | h4(e11) = h2(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h2(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_16_76,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | h4(e11) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e13)) )],[refute_16_74,refute_16_75]) ).

cnf(refute_16_77,plain,
    h4(e11) = h2(e13),
    inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_16_57,refute_16_76]) ).

cnf(refute_16_78,plain,
    ( h2(e13) != e20
    | h4(e11) != h2(e13)
    | h4(e11) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e11),h2(e13)) ),[1],$fot(e20)]]) ).

cnf(refute_16_79,plain,
    ( h2(e13) != e20
    | h4(e11) = e20 ),
    inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_16_77,refute_16_78]) ).

cnf(refute_16_80,plain,
    h2(e13) != e20,
    inference(resolve,[$cnf( $equal(h4(e11),e20) )],[refute_16_79,refute_16_56]) ).

cnf(refute_16_81,plain,
    $false,
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_16_55,refute_16_80]) ).

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

fof(normalize_17_2,plain,
    h1(e12) = e20,
    inference(conjunct,[],[normalize_17_1]) ).

fof(normalize_17_3,plain,
    ( h2(e10) = op2(op2(e21,e21),e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = e21
    & h2(e13) = op2(e21,e21) ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_17_4,plain,
    h2(e12) = e21,
    inference(conjunct,[],[normalize_17_3]) ).

fof(normalize_17_5,plain,
    ( h3(e10) = op2(op2(e22,e22),e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = e22
    & h3(e13) = op2(e22,e22) ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_17_6,plain,
    h3(e12) = 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(e13) != e21,
    inference(conjunct,[],[normalize_17_7]) ).

fof(normalize_17_9,plain,
    ( e20 = op2(op2(e22,e22),e22)
    & e21 = op2(op2(e22,e22),op2(e22,e22))
    & e23 = op2(e22,e22) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_17_10,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(conjunct,[],[normalize_17_9]) ).

fof(normalize_17_11,plain,
    ( h4(e10) = op2(op2(e23,e23),e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = e23
    & h4(e13) = op2(e23,e23) ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_17_12,plain,
    h4(e13) = op2(e23,e23),
    inference(conjunct,[],[normalize_17_11]) ).

fof(normalize_17_13,plain,
    e23 = op2(e22,e22),
    inference(conjunct,[],[normalize_17_9]) ).

cnf(refute_17_0,plain,
    h4(e13) != e21,
    inference(canonicalize,[],[normalize_17_8]) ).

cnf(refute_17_1,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(canonicalize,[],[normalize_17_10]) ).

cnf(refute_17_2,plain,
    h4(e13) = op2(e23,e23),
    inference(canonicalize,[],[normalize_17_12]) ).

cnf(refute_17_3,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_17_4,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_17_5,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_17_3,refute_17_4]) ).

cnf(refute_17_6,plain,
    ( h4(e13) != op2(e23,e23)
    | op2(e23,e23) = h4(e13) ),
    inference(subst,[],[refute_17_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_17_7,plain,
    op2(e23,e23) = h4(e13),
    inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_17_2,refute_17_6]) ).

cnf(refute_17_8,plain,
    e23 = op2(e22,e22),
    inference(canonicalize,[],[normalize_17_13]) ).

cnf(refute_17_9,plain,
    ( e23 != op2(e22,e22)
    | op2(e22,e22) = e23 ),
    inference(subst,[],[refute_17_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_17_10,plain,
    op2(e22,e22) = e23,
    inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_17_8,refute_17_9]) ).

cnf(refute_17_11,plain,
    op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).

cnf(refute_17_12,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).

cnf(refute_17_13,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_17_11,refute_17_12]) ).

cnf(refute_17_14,plain,
    op2(e23,op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_17_10,refute_17_13]) ).

cnf(refute_17_15,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_17_16,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).

cnf(refute_17_17,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_17_15,refute_17_16]) ).

cnf(refute_17_18,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_17_10,refute_17_17]) ).

cnf(refute_17_19,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_17_20,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_17_5,refute_17_19]) ).

cnf(refute_17_21,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(subst,[],[refute_17_20:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).

cnf(refute_17_22,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_17_18,refute_17_21]) ).

cnf(refute_17_23,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_17_14,refute_17_22]) ).

cnf(refute_17_24,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(subst,[],[refute_17_20:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).

cnf(refute_17_25,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_17_23,refute_17_24]) ).

cnf(refute_17_26,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_17_7,refute_17_25]) ).

cnf(refute_17_27,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
    | e21 = h4(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_17_28,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | e21 = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_17_26,refute_17_27]) ).

cnf(refute_17_29,plain,
    e21 = h4(e13),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_17_1,refute_17_28]) ).

cnf(refute_17_30,plain,
    ( e21 != h4(e13)
    | h4(e13) = e21 ),
    inference(subst,[],[refute_17_5:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).

cnf(refute_17_31,plain,
    h4(e13) = e21,
    inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_17_29,refute_17_30]) ).

cnf(refute_17_32,plain,
    ( e21 != e21
    | h4(e13) != e21
    | h4(e13) = e21 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),e21) ),[1],$fot(e21)]]) ).

cnf(refute_17_33,plain,
    ( e21 != e21
    | h4(e13) = e21 ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_17_31,refute_17_32]) ).

cnf(refute_17_34,plain,
    e21 != e21,
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_17_33,refute_17_0]) ).

cnf(refute_17_35,plain,
    e21 = e21,
    introduced(tautology,[refl,[$fot(e21)]]) ).

cnf(refute_17_36,plain,
    $false,
    inference(resolve,[$cnf( $equal(e21,e21) )],[refute_17_35,refute_17_34]) ).

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

fof(normalize_18_1,plain,
    h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
    inference(conjunct,[],[normalize_18_0]) ).

fof(normalize_18_2,plain,
    h2(e13) = op2(e21,e21),
    inference(conjunct,[],[normalize_18_0]) ).

fof(normalize_18_3,plain,
    ( h1(e10) = op2(op2(e20,e20),e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = e20
    & h1(e13) = op2(e20,e20) ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_18_4,plain,
    h1(e13) = op2(e20,e20),
    inference(conjunct,[],[normalize_18_3]) ).

fof(normalize_18_5,plain,
    ( ( ( op2(e20,e20) != e21
        & op2(e21,e21) = e20 )
      | ( op2(e20,e20) != e22
        & op2(e22,e22) = e20 )
      | ( op2(e20,e20) != e23
        & op2(e23,e23) = e20 ) )
    & ( ( op2(e21,e21) != e20
        & op2(e20,e20) = e21 )
      | ( op2(e21,e21) != e22
        & op2(e22,e22) = e21 )
      | ( op2(e21,e21) != e23
        & op2(e23,e23) = e21 ) )
    & ( ( op2(e22,e22) != e20
        & op2(e20,e20) = e22 )
      | ( op2(e22,e22) != e21
        & op2(e21,e21) = e22 )
      | ( op2(e22,e22) != e23
        & op2(e23,e23) = e22 ) )
    & ( ( op2(e23,e23) != e20
        & op2(e20,e20) = e23 )
      | ( op2(e23,e23) != e21
        & op2(e21,e21) = e23 )
      | ( op2(e23,e23) != e22
        & op2(e22,e22) = e23 ) ) ),
    inference(canonicalize,[],[ax11]) ).

fof(normalize_18_6,plain,
    ( ( op2(e22,e22) != e20
      & op2(e20,e20) = e22 )
    | ( op2(e22,e22) != e21
      & op2(e21,e21) = e22 )
    | ( op2(e22,e22) != e23
      & op2(e23,e23) = e22 ) ),
    inference(conjunct,[],[normalize_18_5]) ).

fof(normalize_18_7,plain,
    ( ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e22,e22) != e23 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e21
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e22,e22) != e23
      | op2(e21,e21) = e22 )
    & ( op2(e22,e22) != e20
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e22) != e23
      | op2(e20,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e20,e20) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e20,e20) = e22
      | op2(e21,e21) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e21) = e22
      | op2(e23,e23) = e22 ) ),
    inference(clausify,[],[normalize_18_6]) ).

fof(normalize_18_8,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(conjunct,[],[normalize_18_7]) ).

fof(normalize_18_9,plain,
    ( e20 = op2(op2(e22,e22),e22)
    & e21 = op2(op2(e22,e22),op2(e22,e22))
    & e23 = op2(e22,e22) ),
    inference(canonicalize,[],[ax13]) ).

fof(normalize_18_10,plain,
    e23 = op2(e22,e22),
    inference(conjunct,[],[normalize_18_9]) ).

fof(normalize_18_11,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_12,plain,
    h1(e12) = e20,
    inference(conjunct,[],[normalize_18_3]) ).

fof(normalize_18_13,plain,
    h2(e12) = e21,
    inference(conjunct,[],[normalize_18_0]) ).

fof(normalize_18_14,plain,
    ( h3(e10) = op2(op2(e22,e22),e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = e22
    & h3(e13) = op2(e22,e22) ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_18_15,plain,
    h3(e12) = e22,
    inference(conjunct,[],[normalize_18_14]) ).

fof(normalize_18_16,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_11,normalize_18_12,normalize_18_13,normalize_18_15]) ).

fof(normalize_18_17,plain,
    h4(e11) != e22,
    inference(conjunct,[],[normalize_18_16]) ).

fof(normalize_18_18,plain,
    ( h4(e10) = op2(op2(e23,e23),e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = e23
    & h4(e13) = op2(e23,e23) ),
    inference(canonicalize,[],[ax17]) ).

fof(normalize_18_19,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(conjunct,[],[normalize_18_18]) ).

fof(normalize_18_20,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(conjunct,[],[normalize_18_9]) ).

fof(normalize_18_21,plain,
    h4(e13) = op2(e23,e23),
    inference(conjunct,[],[normalize_18_18]) ).

fof(normalize_18_22,plain,
    ( ( op2(e20,e20) != e21
      & op2(e21,e21) = e20 )
    | ( op2(e20,e20) != e22
      & op2(e22,e22) = e20 )
    | ( op2(e20,e20) != e23
      & op2(e23,e23) = e20 ) ),
    inference(conjunct,[],[normalize_18_5]) ).

fof(normalize_18_23,plain,
    ( ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e20,e20) != e23 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e22
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e20) != e23
      | op2(e22,e22) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e20) != e23
      | op2(e21,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e21,e21) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e21,e21) = e20
      | op2(e22,e22) = e20 )
    & ( op2(e21,e21) = e20
      | op2(e22,e22) = e20
      | op2(e23,e23) = e20 ) ),
    inference(clausify,[],[normalize_18_22]) ).

fof(normalize_18_24,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(conjunct,[],[normalize_18_23]) ).

fof(normalize_18_25,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(canonicalize,[],[ax8]) ).

fof(normalize_18_26,plain,
    e20 != e23,
    inference(conjunct,[],[normalize_18_25]) ).

fof(normalize_18_27,plain,
    e20 != e21,
    inference(conjunct,[],[normalize_18_25]) ).

fof(normalize_18_28,plain,
    h4(e10) != e22,
    inference(conjunct,[],[normalize_18_16]) ).

fof(normalize_18_29,plain,
    h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
    inference(conjunct,[],[normalize_18_16]) ).

fof(normalize_18_30,plain,
    ( ( ( op1(e10,e10) != e11
        & op1(e11,e11) = e10 )
      | ( op1(e10,e10) != e12
        & op1(e12,e12) = e10 )
      | ( op1(e10,e10) != e13
        & op1(e13,e13) = e10 ) )
    & ( ( op1(e11,e11) != e10
        & op1(e10,e10) = e11 )
      | ( op1(e11,e11) != e12
        & op1(e12,e12) = e11 )
      | ( op1(e11,e11) != e13
        & op1(e13,e13) = e11 ) )
    & ( ( op1(e12,e12) != e10
        & op1(e10,e10) = e12 )
      | ( op1(e12,e12) != e11
        & op1(e11,e11) = e12 )
      | ( op1(e12,e12) != e13
        & op1(e13,e13) = e12 ) )
    & ( ( op1(e13,e13) != e10
        & op1(e10,e10) = e13 )
      | ( op1(e13,e13) != e11
        & op1(e11,e11) = e13 )
      | ( op1(e13,e13) != e12
        & op1(e12,e12) = e13 ) ) ),
    inference(canonicalize,[],[ax10]) ).

fof(normalize_18_31,plain,
    ( ( op1(e10,e10) != e11
      & op1(e11,e11) = e10 )
    | ( op1(e10,e10) != e12
      & op1(e12,e12) = e10 )
    | ( op1(e10,e10) != e13
      & op1(e13,e13) = e10 ) ),
    inference(conjunct,[],[normalize_18_30]) ).

fof(normalize_18_32,plain,
    ( ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e10,e10) != e13 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e12
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e10) != e13
      | op1(e12,e12) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e10) != e13
      | op1(e11,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e11,e11) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e11,e11) = e10
      | op1(e12,e12) = e10 )
    & ( op1(e11,e11) = e10
      | op1(e12,e12) = e10
      | op1(e13,e13) = e10 ) ),
    inference(clausify,[],[normalize_18_31]) ).

fof(normalize_18_33,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(conjunct,[],[normalize_18_32]) ).

fof(normalize_18_34,plain,
    ( e10 = op1(op1(e12,e12),e12)
    & e11 = op1(op1(e12,e12),op1(e12,e12))
    & e13 = op1(e12,e12) ),
    inference(canonicalize,[],[ax12]) ).

fof(normalize_18_35,plain,
    e13 = op1(e12,e12),
    inference(conjunct,[],[normalize_18_34]) ).

fof(normalize_18_36,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(canonicalize,[],[ax7]) ).

fof(normalize_18_37,plain,
    e10 != e13,
    inference(conjunct,[],[normalize_18_36]) ).

fof(normalize_18_38,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(conjunct,[],[normalize_18_34]) ).

fof(normalize_18_39,plain,
    e10 != e11,
    inference(conjunct,[],[normalize_18_36]) ).

cnf(refute_18_0,plain,
    h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
    inference(canonicalize,[],[normalize_18_1]) ).

cnf(refute_18_1,plain,
    h2(e13) = op2(e21,e21),
    inference(canonicalize,[],[normalize_18_2]) ).

cnf(refute_18_2,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_18_3,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_18_4,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_18_2,refute_18_3]) ).

cnf(refute_18_5,plain,
    ( h2(e13) != op2(e21,e21)
    | op2(e21,e21) = h2(e13) ),
    inference(subst,[],[refute_18_4:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).

cnf(refute_18_6,plain,
    op2(e21,e21) = h2(e13),
    inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_18_1,refute_18_5]) ).

cnf(refute_18_7,plain,
    op2(h2(e13),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
    introduced(tautology,[refl,[$fot(op2(h2(e13),op2(e21,e21)))]]) ).

cnf(refute_18_8,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(h2(e13),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
    | op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).

cnf(refute_18_9,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_18_7,refute_18_8]) ).

cnf(refute_18_10,plain,
    op2(h2(e13),op2(e21,e21)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_18_6,refute_18_9]) ).

cnf(refute_18_11,plain,
    op2(op2(e21,e21),op2(e21,e21)) = op2(op2(e21,e21),op2(e21,e21)),
    introduced(tautology,[refl,[$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).

cnf(refute_18_12,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),op2(e21,e21)) != op2(op2(e21,e21),op2(e21,e21))
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) ),[1,0],$fot(h2(e13))]]) ).

cnf(refute_18_13,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))) )],[refute_18_11,refute_18_12]) ).

cnf(refute_18_14,plain,
    op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),op2(e21,e21)),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_18_6,refute_18_13]) ).

cnf(refute_18_15,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_18_16,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_18_4,refute_18_15]) ).

cnf(refute_18_17,plain,
    ( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
    | op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),op2(e21,e21))
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    inference(subst,[],[refute_18_16:[bind(X,$fot(op2(op2(e21,e21),op2(e21,e21)))),bind(Y,$fot(op2(h2(e13),op2(e21,e21)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).

cnf(refute_18_18,plain,
    ( op2(h2(e13),op2(e21,e21)) != op2(h2(e13),h2(e13))
    | op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),op2(e21,e21))) )],[refute_18_14,refute_18_17]) ).

cnf(refute_18_19,plain,
    op2(op2(e21,e21),op2(e21,e21)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(op2(h2(e13),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_18_10,refute_18_18]) ).

cnf(refute_18_20,plain,
    ( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
    | op2(op2(e21,e21),op2(e21,e21)) != op2(h2(e13),h2(e13))
    | h2(e11) = op2(h2(e13),h2(e13)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(h2(e13),h2(e13))) ),[0],$fot(op2(op2(e21,e21),op2(e21,e21)))]]) ).

cnf(refute_18_21,plain,
    ( h2(e11) != op2(op2(e21,e21),op2(e21,e21))
    | h2(e11) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e21,e21),op2(e21,e21)),op2(h2(e13),h2(e13))) )],[refute_18_19,refute_18_20]) ).

cnf(refute_18_22,plain,
    h2(e11) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(h2(e11),op2(op2(e21,e21),op2(e21,e21))) )],[refute_18_0,refute_18_21]) ).

cnf(refute_18_23,plain,
    h1(e13) = op2(e20,e20),
    inference(canonicalize,[],[normalize_18_4]) ).

cnf(refute_18_24,plain,
    ( op2(e22,e22) != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(canonicalize,[],[normalize_18_8]) ).

cnf(refute_18_25,plain,
    e23 = op2(e22,e22),
    inference(canonicalize,[],[normalize_18_10]) ).

cnf(refute_18_26,plain,
    ( e23 != op2(e22,e22)
    | op2(e22,e22) = e23 ),
    inference(subst,[],[refute_18_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).

cnf(refute_18_27,plain,
    op2(e22,e22) = e23,
    inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_18_25,refute_18_26]) ).

cnf(refute_18_28,plain,
    ( e23 != e23
    | op2(e22,e22) != e23
    | op2(e22,e22) = e23 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e23) ),[1],$fot(e23)]]) ).

cnf(refute_18_29,plain,
    ( e23 != e23
    | op2(e22,e22) = e23 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_18_27,refute_18_28]) ).

cnf(refute_18_30,plain,
    ( e23 != e23
    | op2(e20,e20) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_18_29,refute_18_24]) ).

cnf(refute_18_31,plain,
    ( h1(e13) != op2(e20,e20)
    | op2(e20,e20) = h1(e13) ),
    inference(subst,[],[refute_18_4:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_18_32,plain,
    op2(e20,e20) = h1(e13),
    inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_18_23,refute_18_31]) ).

cnf(refute_18_33,plain,
    ( op2(e20,e20) != e22
    | op2(e20,e20) != h1(e13)
    | h1(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).

cnf(refute_18_34,plain,
    ( op2(e20,e20) != e22
    | h1(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_18_32,refute_18_33]) ).

cnf(refute_18_35,plain,
    ( e23 != e23
    | h1(e13) = e22
    | op2(e21,e21) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_18_30,refute_18_34]) ).

cnf(refute_18_36,plain,
    ( op2(e21,e21) != e22
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).

cnf(refute_18_37,plain,
    ( op2(e21,e21) != e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_18_6,refute_18_36]) ).

cnf(refute_18_38,plain,
    ( e23 != e23
    | h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_18_35,refute_18_37]) ).

cnf(refute_18_39,plain,
    e23 = e23,
    introduced(tautology,[refl,[$fot(e23)]]) ).

cnf(refute_18_40,plain,
    ( h1(e13) = e22
    | h2(e13) = e22 ),
    inference(resolve,[$cnf( $equal(e23,e23) )],[refute_18_39,refute_18_38]) ).

cnf(refute_18_41,plain,
    h4(e11) != e22,
    inference(canonicalize,[],[normalize_18_17]) ).

cnf(refute_18_42,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(canonicalize,[],[normalize_18_19]) ).

cnf(refute_18_43,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(canonicalize,[],[normalize_18_20]) ).

cnf(refute_18_44,plain,
    h4(e13) = op2(e23,e23),
    inference(canonicalize,[],[normalize_18_21]) ).

cnf(refute_18_45,plain,
    ( h4(e13) != op2(e23,e23)
    | op2(e23,e23) = h4(e13) ),
    inference(subst,[],[refute_18_4:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).

cnf(refute_18_46,plain,
    op2(e23,e23) = h4(e13),
    inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_18_44,refute_18_45]) ).

cnf(refute_18_47,plain,
    op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).

cnf(refute_18_48,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).

cnf(refute_18_49,plain,
    ( op2(e22,e22) != e23
    | op2(e23,op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_18_47,refute_18_48]) ).

cnf(refute_18_50,plain,
    op2(e23,op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_18_27,refute_18_49]) ).

cnf(refute_18_51,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(op2(e22,e22),op2(e22,e22)),
    introduced(tautology,[refl,[$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_18_52,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) ),[1,0],$fot(e23)]]) ).

cnf(refute_18_53,plain,
    ( op2(e22,e22) != e23
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))) )],[refute_18_51,refute_18_52]) ).

cnf(refute_18_54,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,op2(e22,e22)),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_18_27,refute_18_53]) ).

cnf(refute_18_55,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(subst,[],[refute_18_16:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,op2(e22,e22)))),bind(Z,$fot(op2(e23,e23)))]]) ).

cnf(refute_18_56,plain,
    ( op2(e23,op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_18_54,refute_18_55]) ).

cnf(refute_18_57,plain,
    op2(op2(e22,e22),op2(e22,e22)) = op2(e23,e23),
    inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_18_50,refute_18_56]) ).

cnf(refute_18_58,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) != op2(e23,e23)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(subst,[],[refute_18_16:[bind(X,$fot(op2(op2(e22,e22),op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).

cnf(refute_18_59,plain,
    ( op2(e23,e23) != h4(e13)
    | op2(op2(e22,e22),op2(e22,e22)) = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),op2(e23,e23)) )],[refute_18_57,refute_18_58]) ).

cnf(refute_18_60,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h4(e13),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_18_46,refute_18_59]) ).

cnf(refute_18_61,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | op2(op2(e22,e22),op2(e22,e22)) != h4(e13)
    | e21 = h4(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e21,h4(e13)) ),[0],$fot(op2(op2(e22,e22),op2(e22,e22)))]]) ).

cnf(refute_18_62,plain,
    ( e21 != op2(op2(e22,e22),op2(e22,e22))
    | e21 = h4(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e22,e22),op2(e22,e22)),h4(e13)) )],[refute_18_60,refute_18_61]) ).

cnf(refute_18_63,plain,
    e21 = h4(e13),
    inference(resolve,[$cnf( $equal(e21,op2(op2(e22,e22),op2(e22,e22))) )],[refute_18_43,refute_18_62]) ).

cnf(refute_18_64,plain,
    ( e21 != h4(e13)
    | h4(e13) = e21 ),
    inference(subst,[],[refute_18_4:[bind(X,$fot(e21)),bind(Y,$fot(h4(e13)))]]) ).

cnf(refute_18_65,plain,
    h4(e13) = e21,
    inference(resolve,[$cnf( $equal(e21,h4(e13)) )],[refute_18_63,refute_18_64]) ).

cnf(refute_18_66,plain,
    ( h4(e13) != e21
    | op2(e23,e23) != h4(e13)
    | op2(e23,e23) = e21 ),
    inference(subst,[],[refute_18_16:[bind(X,$fot(op2(e23,e23))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e21))]]) ).

cnf(refute_18_67,plain,
    ( h4(e13) != e21
    | op2(e23,e23) = e21 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_18_46,refute_18_66]) ).

cnf(refute_18_68,plain,
    op2(e23,e23) = e21,
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_65,refute_18_67]) ).

cnf(refute_18_69,plain,
    op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
    introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).

cnf(refute_18_70,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
    | op2(e23,e23) != e21
    | op2(e21,op2(e23,e23)) = op2(e21,e21) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e21)]]) ).

cnf(refute_18_71,plain,
    ( op2(e23,e23) != e21
    | op2(e21,op2(e23,e23)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_18_69,refute_18_70]) ).

cnf(refute_18_72,plain,
    op2(e21,op2(e23,e23)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_18_68,refute_18_71]) ).

cnf(refute_18_73,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_74,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),op2(e23,e23)) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,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(e21)]]) ).

cnf(refute_18_75,plain,
    ( op2(e23,e23) != e21
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))) )],[refute_18_73,refute_18_74]) ).

cnf(refute_18_76,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e21,op2(e23,e23)),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e21) )],[refute_18_68,refute_18_75]) ).

cnf(refute_18_77,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e21,op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
    inference(subst,[],[refute_18_16:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,op2(e23,e23)))),bind(Z,$fot(op2(e21,e21)))]]) ).

cnf(refute_18_78,plain,
    ( op2(e21,op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_18_76,refute_18_77]) ).

cnf(refute_18_79,plain,
    op2(op2(e23,e23),op2(e23,e23)) = op2(e21,e21),
    inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e21)) )],[refute_18_72,refute_18_78]) ).

cnf(refute_18_80,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e23,e23),op2(e23,e23)) != op2(e21,e21)
    | op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
    inference(subst,[],[refute_18_16:[bind(X,$fot(op2(op2(e23,e23),op2(e23,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).

cnf(refute_18_81,plain,
    ( op2(e21,e21) != h2(e13)
    | op2(op2(e23,e23),op2(e23,e23)) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),op2(e21,e21)) )],[refute_18_79,refute_18_80]) ).

cnf(refute_18_82,plain,
    op2(op2(e23,e23),op2(e23,e23)) = h2(e13),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_18_6,refute_18_81]) ).

cnf(refute_18_83,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | op2(op2(e23,e23),op2(e23,e23)) != h2(e13)
    | h4(e11) = h2(e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),h2(e13)) ),[0],$fot(op2(op2(e23,e23),op2(e23,e23)))]]) ).

cnf(refute_18_84,plain,
    ( h4(e11) != op2(op2(e23,e23),op2(e23,e23))
    | h4(e11) = h2(e13) ),
    inference(resolve,[$cnf( $equal(op2(op2(e23,e23),op2(e23,e23)),h2(e13)) )],[refute_18_82,refute_18_83]) ).

cnf(refute_18_85,plain,
    h4(e11) = h2(e13),
    inference(resolve,[$cnf( $equal(h4(e11),op2(op2(e23,e23),op2(e23,e23))) )],[refute_18_42,refute_18_84]) ).

cnf(refute_18_86,plain,
    ( h2(e13) != e22
    | h4(e11) != h2(e13)
    | h4(e11) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e11),h2(e13)) ),[1],$fot(e22)]]) ).

cnf(refute_18_87,plain,
    ( h2(e13) != e22
    | h4(e11) = e22 ),
    inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_18_85,refute_18_86]) ).

cnf(refute_18_88,plain,
    h2(e13) != e22,
    inference(resolve,[$cnf( $equal(h4(e11),e22) )],[refute_18_87,refute_18_41]) ).

cnf(refute_18_89,plain,
    h1(e13) = e22,
    inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_18_40,refute_18_88]) ).

cnf(refute_18_90,plain,
    ( h1(e13) != e22
    | h1(e13) != op2(e20,e20)
    | e22 = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(h1(e13),op2(e20,e20)) ),[0],$fot(e22)]]) ).

cnf(refute_18_91,plain,
    ( h1(e13) != op2(e20,e20)
    | e22 = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_18_89,refute_18_90]) ).

cnf(refute_18_92,plain,
    e22 = op2(e20,e20),
    inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_18_23,refute_18_91]) ).

cnf(refute_18_93,plain,
    ( e22 != op2(e20,e20)
    | op2(e20,e20) = e22 ),
    inference(subst,[],[refute_18_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e20,e20)))]]) ).

cnf(refute_18_94,plain,
    op2(e20,e20) = e22,
    inference(resolve,[$cnf( $equal(e22,op2(e20,e20)) )],[refute_18_92,refute_18_93]) ).

cnf(refute_18_95,plain,
    ( op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(canonicalize,[],[normalize_18_24]) ).

cnf(refute_18_96,plain,
    ( op2(e21,e21) != e20
    | op2(e21,e21) != h2(e13)
    | h2(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).

cnf(refute_18_97,plain,
    ( op2(e21,e21) != e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_18_6,refute_18_96]) ).

cnf(refute_18_98,plain,
    ( h2(e13) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_18_95,refute_18_97]) ).

cnf(refute_18_99,plain,
    ( op2(e22,e22) != e20
    | op2(e22,e22) != e23
    | e23 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(e23)]]) ).

cnf(refute_18_100,plain,
    ( op2(e22,e22) != e20
    | e23 = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_18_27,refute_18_99]) ).

cnf(refute_18_101,plain,
    ( e23 = e20
    | h2(e13) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_18_98,refute_18_100]) ).

cnf(refute_18_102,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e23) != h4(e13)
    | h4(e13) = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e20) ),[0],$fot(h4(e13))]]) ).

cnf(refute_18_103,plain,
    ( op2(e23,e23) != e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_18_46,refute_18_102]) ).

cnf(refute_18_104,plain,
    ( e23 = e20
    | h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_18_101,refute_18_103]) ).

cnf(refute_18_105,plain,
    e20 != e23,
    inference(canonicalize,[],[normalize_18_26]) ).

cnf(refute_18_106,plain,
    ( e23 != e20
    | e20 = e23 ),
    inference(subst,[],[refute_18_4:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).

cnf(refute_18_107,plain,
    e23 != e20,
    inference(resolve,[$cnf( $equal(e20,e23) )],[refute_18_106,refute_18_105]) ).

cnf(refute_18_108,plain,
    ( h2(e13) = e20
    | h4(e13) = e20 ),
    inference(resolve,[$cnf( $equal(e23,e20) )],[refute_18_104,refute_18_107]) ).

cnf(refute_18_109,plain,
    ( h4(e13) != e20
    | h4(e13) != e21
    | e21 = e20 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e13),e20) ),[0],$fot(e21)]]) ).

cnf(refute_18_110,plain,
    ( h4(e13) != e20
    | e21 = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_65,refute_18_109]) ).

cnf(refute_18_111,plain,
    ( e21 = e20
    | h2(e13) = e20 ),
    inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_18_108,refute_18_110]) ).

cnf(refute_18_112,plain,
    e20 != e21,
    inference(canonicalize,[],[normalize_18_27]) ).

cnf(refute_18_113,plain,
    ( e21 != e20
    | e20 = e21 ),
    inference(subst,[],[refute_18_4:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).

cnf(refute_18_114,plain,
    e21 != e20,
    inference(resolve,[$cnf( $equal(e20,e21) )],[refute_18_113,refute_18_112]) ).

cnf(refute_18_115,plain,
    h2(e13) = e20,
    inference(resolve,[$cnf( $equal(e21,e20) )],[refute_18_111,refute_18_114]) ).

cnf(refute_18_116,plain,
    op2(e20,h2(e13)) = op2(e20,h2(e13)),
    introduced(tautology,[refl,[$fot(op2(e20,h2(e13)))]]) ).

cnf(refute_18_117,plain,
    ( h2(e13) != e20
    | op2(e20,h2(e13)) != op2(e20,h2(e13))
    | op2(e20,h2(e13)) = op2(e20,e20) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,h2(e13))) ),[1,1],$fot(e20)]]) ).

cnf(refute_18_118,plain,
    ( h2(e13) != e20
    | op2(e20,h2(e13)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,h2(e13))) )],[refute_18_116,refute_18_117]) ).

cnf(refute_18_119,plain,
    op2(e20,h2(e13)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_18_115,refute_18_118]) ).

cnf(refute_18_120,plain,
    op2(h2(e13),h2(e13)) = op2(h2(e13),h2(e13)),
    introduced(tautology,[refl,[$fot(op2(h2(e13),h2(e13)))]]) ).

cnf(refute_18_121,plain,
    ( h2(e13) != e20
    | op2(h2(e13),h2(e13)) != op2(h2(e13),h2(e13))
    | op2(h2(e13),h2(e13)) = op2(e20,h2(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(h2(e13),h2(e13))) ),[1,0],$fot(e20)]]) ).

cnf(refute_18_122,plain,
    ( h2(e13) != e20
    | op2(h2(e13),h2(e13)) = op2(e20,h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(h2(e13),h2(e13))) )],[refute_18_120,refute_18_121]) ).

cnf(refute_18_123,plain,
    op2(h2(e13),h2(e13)) = op2(e20,h2(e13)),
    inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_18_115,refute_18_122]) ).

cnf(refute_18_124,plain,
    ( op2(e20,h2(e13)) != op2(e20,e20)
    | op2(h2(e13),h2(e13)) != op2(e20,h2(e13))
    | op2(h2(e13),h2(e13)) = op2(e20,e20) ),
    inference(subst,[],[refute_18_16:[bind(X,$fot(op2(h2(e13),h2(e13)))),bind(Y,$fot(op2(e20,h2(e13)))),bind(Z,$fot(op2(e20,e20)))]]) ).

cnf(refute_18_125,plain,
    ( op2(e20,h2(e13)) != op2(e20,e20)
    | op2(h2(e13),h2(e13)) = op2(e20,e20) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(e20,h2(e13))) )],[refute_18_123,refute_18_124]) ).

cnf(refute_18_126,plain,
    op2(h2(e13),h2(e13)) = op2(e20,e20),
    inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,e20)) )],[refute_18_119,refute_18_125]) ).

cnf(refute_18_127,plain,
    ( op2(e20,e20) != e22
    | op2(h2(e13),h2(e13)) != op2(e20,e20)
    | op2(h2(e13),h2(e13)) = e22 ),
    inference(subst,[],[refute_18_16:[bind(X,$fot(op2(h2(e13),h2(e13)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e22))]]) ).

cnf(refute_18_128,plain,
    ( op2(e20,e20) != e22
    | op2(h2(e13),h2(e13)) = e22 ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(e20,e20)) )],[refute_18_126,refute_18_127]) ).

cnf(refute_18_129,plain,
    op2(h2(e13),h2(e13)) = e22,
    inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_18_94,refute_18_128]) ).

cnf(refute_18_130,plain,
    ( h2(e11) != op2(h2(e13),h2(e13))
    | op2(h2(e13),h2(e13)) != e22
    | h2(e11) = e22 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),e22) ),[0],$fot(op2(h2(e13),h2(e13)))]]) ).

cnf(refute_18_131,plain,
    ( h2(e11) != op2(h2(e13),h2(e13))
    | h2(e11) = e22 ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),e22) )],[refute_18_129,refute_18_130]) ).

cnf(refute_18_132,plain,
    h2(e11) = e22,
    inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_18_22,refute_18_131]) ).

cnf(refute_18_133,plain,
    h4(e10) != e22,
    inference(canonicalize,[],[normalize_18_28]) ).

cnf(refute_18_134,plain,
    h4(op1(e11,e11)) = op2(h4(e11),h4(e11)),
    inference(canonicalize,[],[normalize_18_29]) ).

cnf(refute_18_135,plain,
    ( h2(e11) != op2(h2(e13),h2(e13))
    | op2(h2(e13),h2(e13)) = h2(e11) ),
    inference(subst,[],[refute_18_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(h2(e13),h2(e13))))]]) ).

cnf(refute_18_136,plain,
    op2(h2(e13),h2(e13)) = h2(e11),
    inference(resolve,[$cnf( $equal(h2(e11),op2(h2(e13),h2(e13))) )],[refute_18_22,refute_18_135]) ).

cnf(refute_18_137,plain,
    op2(h2(e13),h4(e11)) = op2(h2(e13),h4(e11)),
    introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e11)))]]) ).

cnf(refute_18_138,plain,
    ( h4(e11) != h2(e13)
    | op2(h2(e13),h4(e11)) != op2(h2(e13),h4(e11))
    | op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h4(e11))) ),[1,1],$fot(h2(e13))]]) ).

cnf(refute_18_139,plain,
    ( h4(e11) != h2(e13)
    | op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h4(e11))) )],[refute_18_137,refute_18_138]) ).

cnf(refute_18_140,plain,
    op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_18_85,refute_18_139]) ).

cnf(refute_18_141,plain,
    op2(h4(e11),h4(e11)) = op2(h4(e11),h4(e11)),
    introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e11)))]]) ).

cnf(refute_18_142,plain,
    ( h4(e11) != h2(e13)
    | op2(h4(e11),h4(e11)) != op2(h4(e11),h4(e11))
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)) ),
    introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) ),[1,0],$fot(h2(e13))]]) ).

cnf(refute_18_143,plain,
    ( h4(e11) != h2(e13)
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) )],[refute_18_141,refute_18_142]) ).

cnf(refute_18_144,plain,
    op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)),
    inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_18_85,refute_18_143]) ).

cnf(refute_18_145,plain,
    ( op2(h2(e13),h4(e11)) != op2(h2(e13),h2(e13))
    | op2(h4(e11),h4(e11)) != op2(h2(e13),h4(e11))
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)) ),
    inference(subst,[],[refute_18_16:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(h2(e13),h4(e11)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).

cnf(refute_18_146,plain,
    ( op2(h2(e13),h4(e11)) != op2(h2(e13),h2(e13))
    | op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h2(e13),h4(e11))) )],[refute_18_144,refute_18_145]) ).

cnf(refute_18_147,plain,
    op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h2(e13))) )],[refute_18_140,refute_18_146]) ).

cnf(refute_18_148,plain,
    ( op2(h2(e13),h2(e13)) != h2(e11)
    | op2(h4(e11),h4(e11)) != op2(h2(e13),h2(e13))
    | op2(h4(e11),h4(e11)) = h2(e11) ),
    inference(subst,[],[refute_18_16:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(h2(e13),h2(e13)))),bind(Z,$fot(h2(e11)))]]) ).

cnf(refute_18_149,plain,
    ( op2(h2(e13),h2(e13)) != h2(e11)
    | op2(h4(e11),h4(e11)) = h2(e11) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h2(e13),h2(e13))) )],[refute_18_147,refute_18_148]) ).

cnf(refute_18_150,plain,
    op2(h4(e11),h4(e11)) = h2(e11),
    inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),h2(e11)) )],[refute_18_136,refute_18_149]) ).

cnf(refute_18_151,plain,
    ( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | op2(h4(e11),h4(e11)) != h2(e11)
    | h4(op1(e11,e11)) = h2(e11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e11,e11)),h2(e11)) ),[0],$fot(op2(h4(e11),h4(e11)))]]) ).

cnf(refute_18_152,plain,
    ( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | h4(op1(e11,e11)) = h2(e11) ),
    inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),h2(e11)) )],[refute_18_150,refute_18_151]) ).

cnf(refute_18_153,plain,
    h4(op1(e11,e11)) = h2(e11),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_18_134,refute_18_152]) ).

cnf(refute_18_154,plain,
    ( op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(canonicalize,[],[normalize_18_33]) ).

cnf(refute_18_155,plain,
    e13 = op1(e12,e12),
    inference(canonicalize,[],[normalize_18_35]) ).

cnf(refute_18_156,plain,
    ( e13 != op1(e12,e12)
    | op1(e12,e12) = e13 ),
    inference(subst,[],[refute_18_4:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).

cnf(refute_18_157,plain,
    op1(e12,e12) = e13,
    inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_18_155,refute_18_156]) ).

cnf(refute_18_158,plain,
    ( op1(e12,e12) != e10
    | op1(e12,e12) != e13
    | e13 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e12,e12),e10) ),[0],$fot(e13)]]) ).

cnf(refute_18_159,plain,
    ( op1(e12,e12) != e10
    | e13 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_18_157,refute_18_158]) ).

cnf(refute_18_160,plain,
    ( e13 = e10
    | op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_18_154,refute_18_159]) ).

cnf(refute_18_161,plain,
    e10 != e13,
    inference(canonicalize,[],[normalize_18_37]) ).

cnf(refute_18_162,plain,
    ( e13 != e10
    | e10 = e13 ),
    inference(subst,[],[refute_18_4:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).

cnf(refute_18_163,plain,
    e13 != e10,
    inference(resolve,[$cnf( $equal(e10,e13) )],[refute_18_162,refute_18_161]) ).

cnf(refute_18_164,plain,
    ( op1(e11,e11) = e10
    | op1(e13,e13) = e10 ),
    inference(resolve,[$cnf( $equal(e13,e10) )],[refute_18_160,refute_18_163]) ).

cnf(refute_18_165,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(canonicalize,[],[normalize_18_38]) ).

cnf(refute_18_166,plain,
    op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).

cnf(refute_18_167,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).

cnf(refute_18_168,plain,
    ( op1(e12,e12) != e13
    | op1(e13,op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_18_166,refute_18_167]) ).

cnf(refute_18_169,plain,
    op1(e13,op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_18_157,refute_18_168]) ).

cnf(refute_18_170,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(op1(e12,e12),op1(e12,e12)),
    introduced(tautology,[refl,[$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_18_171,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) ),[1,0],$fot(e13)]]) ).

cnf(refute_18_172,plain,
    ( op1(e12,e12) != e13
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(op1(e12,e12),op1(e12,e12))) )],[refute_18_170,refute_18_171]) ).

cnf(refute_18_173,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,op1(e12,e12)),
    inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_18_157,refute_18_172]) ).

cnf(refute_18_174,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(subst,[],[refute_18_16:[bind(X,$fot(op1(op1(e12,e12),op1(e12,e12)))),bind(Y,$fot(op1(e13,op1(e12,e12)))),bind(Z,$fot(op1(e13,e13)))]]) ).

cnf(refute_18_175,plain,
    ( op1(e13,op1(e12,e12)) != op1(e13,e13)
    | op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_18_173,refute_18_174]) ).

cnf(refute_18_176,plain,
    op1(op1(e12,e12),op1(e12,e12)) = op1(e13,e13),
    inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_18_169,refute_18_175]) ).

cnf(refute_18_177,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | op1(op1(e12,e12),op1(e12,e12)) != op1(e13,e13)
    | e11 = op1(e13,e13) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[0],$fot(op1(op1(e12,e12),op1(e12,e12)))]]) ).

cnf(refute_18_178,plain,
    ( e11 != op1(op1(e12,e12),op1(e12,e12))
    | e11 = op1(e13,e13) ),
    inference(resolve,[$cnf( $equal(op1(op1(e12,e12),op1(e12,e12)),op1(e13,e13)) )],[refute_18_176,refute_18_177]) ).

cnf(refute_18_179,plain,
    e11 = op1(e13,e13),
    inference(resolve,[$cnf( $equal(e11,op1(op1(e12,e12),op1(e12,e12))) )],[refute_18_165,refute_18_178]) ).

cnf(refute_18_180,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e13) = e11 ),
    inference(subst,[],[refute_18_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e13,e13)))]]) ).

cnf(refute_18_181,plain,
    op1(e13,e13) = e11,
    inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_18_179,refute_18_180]) ).

cnf(refute_18_182,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e13) != e11
    | e11 = e10 ),
    introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e10) ),[0],$fot(e11)]]) ).

cnf(refute_18_183,plain,
    ( op1(e13,e13) != e10
    | e11 = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_18_181,refute_18_182]) ).

cnf(refute_18_184,plain,
    ( e11 = e10
    | op1(e11,e11) = e10 ),
    inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_18_164,refute_18_183]) ).

cnf(refute_18_185,plain,
    e10 != e11,
    inference(canonicalize,[],[normalize_18_39]) ).

cnf(refute_18_186,plain,
    ( e11 != e10
    | e10 = e11 ),
    inference(subst,[],[refute_18_4:[bind(X,$fot(e11)),bind(Y,$fot(e10))]]) ).

cnf(refute_18_187,plain,
    e11 != e10,
    inference(resolve,[$cnf( $equal(e10,e11) )],[refute_18_186,refute_18_185]) ).

cnf(refute_18_188,plain,
    op1(e11,e11) = e10,
    inference(resolve,[$cnf( $equal(e11,e10) )],[refute_18_184,refute_18_187]) ).

cnf(refute_18_189,plain,
    h4(op1(e11,e11)) = h4(op1(e11,e11)),
    introduced(tautology,[refl,[$fot(h4(op1(e11,e11)))]]) ).

cnf(refute_18_190,plain,
    ( h4(op1(e11,e11)) != h4(op1(e11,e11))
    | op1(e11,e11) != e10
    | h4(op1(e11,e11)) = h4(e10) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) ),[1,0],$fot(e10)]]) ).

cnf(refute_18_191,plain,
    ( op1(e11,e11) != e10
    | h4(op1(e11,e11)) = h4(e10) ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) )],[refute_18_189,refute_18_190]) ).

cnf(refute_18_192,plain,
    h4(op1(e11,e11)) = h4(e10),
    inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_18_188,refute_18_191]) ).

cnf(refute_18_193,plain,
    ( h4(op1(e11,e11)) != h2(e11)
    | h4(op1(e11,e11)) != h4(e10)
    | h4(e10) = h2(e11) ),
    introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) ),[0],$fot(h4(e10))]]) ).

cnf(refute_18_194,plain,
    ( h4(op1(e11,e11)) != h2(e11)
    | h4(e10) = h2(e11) ),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(e10)) )],[refute_18_192,refute_18_193]) ).

cnf(refute_18_195,plain,
    h4(e10) = h2(e11),
    inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h2(e11)) )],[refute_18_153,refute_18_194]) ).

cnf(refute_18_196,plain,
    ( h2(e11) != e22
    | h4(e10) != h2(e11)
    | h4(e10) = e22 ),
    introduced(tautology,[equality,[$cnf( $equal(h4(e10),h2(e11)) ),[1],$fot(e22)]]) ).

cnf(refute_18_197,plain,
    ( h2(e11) != e22
    | h4(e10) = e22 ),
    inference(resolve,[$cnf( $equal(h4(e10),h2(e11)) )],[refute_18_195,refute_18_196]) ).

cnf(refute_18_198,plain,
    h2(e11) != e22,
    inference(resolve,[$cnf( $equal(h4(e10),e22) )],[refute_18_197,refute_18_133]) ).

cnf(refute_18_199,plain,
    $false,
    inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_18_132,refute_18_198]) ).

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

fof(normalize_19_2,plain,
    h4(e12) = e23,
    inference(conjunct,[],[normalize_19_1]) ).

fof(normalize_19_3,plain,
    ( h1(e10) = op2(op2(e20,e20),e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = e20
    & h1(e13) = op2(e20,e20) ),
    inference(canonicalize,[],[ax14]) ).

fof(normalize_19_4,plain,
    h1(e12) = e20,
    inference(conjunct,[],[normalize_19_3]) ).

fof(normalize_19_5,plain,
    ( h2(e10) = op2(op2(e21,e21),e21)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & h2(e12) = e21
    & h2(e13) = op2(e21,e21) ),
    inference(canonicalize,[],[ax15]) ).

fof(normalize_19_6,plain,
    h2(e12) = e21,
    inference(conjunct,[],[normalize_19_5]) ).

fof(normalize_19_7,plain,
    ( h3(e10) = op2(op2(e22,e22),e22)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & h3(e12) = e22
    & h3(e13) = op2(e22,e22) ),
    inference(canonicalize,[],[ax16]) ).

fof(normalize_19_8,plain,
    h3(e12) = e22,
    inference(conjunct,[],[normalize_19_7]) ).

fof(normalize_19_9,plain,
    $false,
    inference(simplify,[],[normalize_19_0,normalize_19_2,normalize_19_4,normalize_19_6,normalize_19_8]) ).

cnf(refute_19_0,plain,
    $false,
    inference(canonicalize,[],[normalize_19_9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : ALG114+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun  8 07:45:01 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 3.12/3.28  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.12/3.28  
% 3.12/3.28  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.66/3.83  
%------------------------------------------------------------------------------