TSTP Solution File: ALG123+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ALG123+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n026.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  : 300s
% DateTime : Mon May 20 18:01:58 EDT 2024

% Result   : Theorem 1.12s 0.60s
% Output   : CNFRefutation 1.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  412 ( 146 unt;   0 def)
%            Number of atoms       : 6741 (5777 equ)
%            Maximal formula atoms : 1280 (  16 avg)
%            Number of connectives : 11051 (4722   ~;4441   |;1855   &)
%                                         (  18 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   84 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   20 (  18 usr;  19 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax13,axiom,
    ( e20 = op2(e23,e23)
    & e21 = op2(op2(op2(e23,e23),e23),e23)
    & e22 = op2(op2(e23,e23),e23) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).

fof(ax8,axiom,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

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) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

fof(ax11,axiom,
    ( ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e21) = e21
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e22) = e22
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e23) = e23
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e21,e20) = e20
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) )
      | ( op2(e21,e21) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) )
      | ( op2(e21,e22) = e22
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) )
      | ( op2(e21,e23) = e23
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) )
      | ( op2(e22,e20) = e20
        & ( op2(e20,e20) != e22
          | op2(e20,e22) != e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) != e23 ) )
      | ( op2(e22,e21) = e21
        & ( op2(e20,e20) != e22
          | op2(e20,e22) != e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) != e23 ) )
      | ( op2(e22,e22) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) != e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) != e23 ) )
      | ( op2(e22,e23) = e23
        & ( op2(e20,e20) != e22
          | op2(e20,e22) != e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) != e23 ) )
      | ( op2(e23,e20) = e20
        & ( op2(e20,e20) != e23
          | op2(e20,e23) != e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) != e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e23,e21) = e21
        & ( op2(e20,e20) != e23
          | op2(e20,e23) != e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) != e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e23,e22) = e22
        & ( op2(e20,e20) != e23
          | op2(e20,e23) != e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) != e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e23,e23) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) != e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) != e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) ) )
    & ( op2(e20,e20) = e20
      | op2(e21,e21) = e21
      | op2(e22,e22) = e22
      | op2(e23,e23) = e23 )
    & ( op2(e20,e20) != e20
      | op2(e20,e20) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) = e20 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) = e21 )
    & ( op2(e21,e21) != e21
      | op2(e21,e21) = e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) = e21 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) = e21 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) = e22 )
    & ( op2(e22,e22) != e22
      | op2(e22,e22) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) = e22 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) = e23 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) = e23 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) != e23
      | op2(e23,e23) = e23 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).

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) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

fof(ax10,axiom,
    ( ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e11) = e11
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e12) = e12
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e13) = e13
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e11,e10) = e10
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) )
      | ( op1(e11,e11) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) )
      | ( op1(e11,e12) = e12
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) )
      | ( op1(e11,e13) = e13
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) )
      | ( op1(e12,e10) = e10
        & ( op1(e10,e10) != e12
          | op1(e10,e12) != e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) != e13 ) )
      | ( op1(e12,e11) = e11
        & ( op1(e10,e10) != e12
          | op1(e10,e12) != e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) != e13 ) )
      | ( op1(e12,e12) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) != e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) != e13 ) )
      | ( op1(e12,e13) = e13
        & ( op1(e10,e10) != e12
          | op1(e10,e12) != e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) != e13 ) )
      | ( op1(e13,e10) = e10
        & ( op1(e10,e10) != e13
          | op1(e10,e13) != e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) != e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e13,e11) = e11
        & ( op1(e10,e10) != e13
          | op1(e10,e13) != e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) != e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e13,e12) = e12
        & ( op1(e10,e10) != e13
          | op1(e10,e13) != e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) != e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e13,e13) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) != e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) != e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) ) )
    & ( op1(e10,e10) = e10
      | op1(e11,e11) = e11
      | op1(e12,e12) = e12
      | op1(e13,e13) = e13 )
    & ( op1(e10,e10) != e10
      | op1(e10,e10) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) = e10 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) = e11 )
    & ( op1(e11,e11) != e11
      | op1(e11,e11) = e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) = e11 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) = e11 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) = e12 )
    & ( op1(e12,e12) != e12
      | op1(e12,e12) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) = e12 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) = e13 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) = e13 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) != e13
      | op1(e13,e13) = e13 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).

fof(ax12,axiom,
    ( e10 = op1(e13,e13)
    & e11 = op1(op1(op1(e13,e13),e13),e13)
    & e12 = op1(op1(e13,e13),e13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).

fof(ax7,axiom,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

fof(ax15,axiom,
    ( h2(e13) = e21
    & h2(e10) = op2(e21,e21)
    & h2(e11) = op2(op2(op2(e21,e21),e21),e21)
    & h2(e12) = op2(op2(e21,e21),e21) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

fof(ax16,axiom,
    ( h3(e13) = e22
    & h3(e10) = op2(e22,e22)
    & h3(e11) = op2(op2(op2(e22,e22),e22),e22)
    & h3(e12) = op2(op2(e22,e22),e22) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).

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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

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 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

fof(ax14,axiom,
    ( h1(e13) = e20
    & h1(e10) = op2(e20,e20)
    & h1(e11) = op2(op2(op2(e20,e20),e20),e20)
    & h1(e12) = op2(op2(e20,e20),e20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).

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 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(c_0_16,plain,
    ( epred11_0
  <=> ( ( op2(e20,e20) = e20
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e21) = e21
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e22) = e22
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e23) = e23
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e21,e20) = e20
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & op2(e21,e21) != e21
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) )
      | ( op2(e21,e21) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & op2(e21,e21) != e21
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) )
      | ( op2(e21,e22) = e22
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & op2(e21,e21) != e21
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) )
      | ( op2(e21,e23) = e23
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & op2(e21,e21) != e21
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) )
      | ( op2(e22,e20) = e20
        & ( op2(e20,e20) != e22
          | op2(e20,e22) != e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) != e21 )
        & op2(e22,e22) != e22
        & ( op2(e23,e23) != e22
          | op2(e23,e22) != e23 ) )
      | ( op2(e22,e21) = e21
        & ( op2(e20,e20) != e22
          | op2(e20,e22) != e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) != e21 )
        & op2(e22,e22) != e22
        & ( op2(e23,e23) != e22
          | op2(e23,e22) != e23 ) )
      | ( op2(e22,e22) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) != e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) != e21 )
        & op2(e22,e22) != e22
        & ( op2(e23,e23) != e22
          | op2(e23,e22) != e23 ) )
      | ( op2(e22,e23) = e23
        & ( op2(e20,e20) != e22
          | op2(e20,e22) != e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) != e21 )
        & op2(e22,e22) != e22
        & ( op2(e23,e23) != e22
          | op2(e23,e22) != e23 ) )
      | ( op2(e23,e20) = e20
        & ( op2(e20,e20) != e23
          | op2(e20,e23) != e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) != e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) != e22 )
        & op2(e23,e23) != e23 )
      | ( op2(e23,e21) = e21
        & ( op2(e20,e20) != e23
          | op2(e20,e23) != e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) != e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) != e22 )
        & op2(e23,e23) != e23 ) ) ),
    introduced(definition) ).

fof(c_0_17,plain,
    ( epred5_0
  <=> ( ( op2(e20,e20) = e20
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e21) = e21
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) ) ) ),
    introduced(definition) ).

fof(c_0_18,plain,
    ( epred18_0
  <=> ( ( op1(e10,e10) = e10
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e11) = e11
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e12) = e12
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e13) = e13
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e11,e10) = e10
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & op1(e11,e11) != e11
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) )
      | ( op1(e11,e11) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & op1(e11,e11) != e11
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) )
      | ( op1(e11,e12) = e12
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & op1(e11,e11) != e11
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) )
      | ( op1(e11,e13) = e13
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & op1(e11,e11) != e11
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) )
      | ( op1(e12,e10) = e10
        & ( op1(e10,e10) != e12
          | op1(e10,e12) != e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) != e11 )
        & op1(e12,e12) != e12
        & ( op1(e13,e13) != e12
          | op1(e13,e12) != e13 ) )
      | ( op1(e12,e11) = e11
        & ( op1(e10,e10) != e12
          | op1(e10,e12) != e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) != e11 )
        & op1(e12,e12) != e12
        & ( op1(e13,e13) != e12
          | op1(e13,e12) != e13 ) )
      | ( op1(e12,e12) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) != e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) != e11 )
        & op1(e12,e12) != e12
        & ( op1(e13,e13) != e12
          | op1(e13,e12) != e13 ) )
      | ( op1(e12,e13) = e13
        & ( op1(e10,e10) != e12
          | op1(e10,e12) != e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) != e11 )
        & op1(e12,e12) != e12
        & ( op1(e13,e13) != e12
          | op1(e13,e12) != e13 ) )
      | ( op1(e13,e10) = e10
        & ( op1(e10,e10) != e13
          | op1(e10,e13) != e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) != e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) != e12 )
        & op1(e13,e13) != e13 )
      | ( op1(e13,e11) = e11
        & ( op1(e10,e10) != e13
          | op1(e10,e13) != e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) != e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) != e12 )
        & op1(e13,e13) != e13 ) ) ),
    introduced(definition) ).

cnf(c_0_19,plain,
    e22 = op2(op2(e23,e23),e23),
    inference(split_conjunct,[status(thm)],[ax13]) ).

cnf(c_0_20,plain,
    e20 = op2(e23,e23),
    inference(split_conjunct,[status(thm)],[ax13]) ).

fof(c_0_21,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(fof_simplification,[status(thm)],[ax8]) ).

fof(c_0_22,plain,
    ( 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) ),
    inference(fof_simplification,[status(thm)],[ax6]) ).

fof(c_0_23,plain,
    ( ( epred11_0
      | ( op2(e23,e22) = e22
        & ( op2(e20,e20) != e23
          | op2(e20,e23) != e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) != e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) != e22 )
        & op2(e23,e23) != e23 )
      | ( op2(e23,e23) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) != e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) != e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) != e22 )
        & op2(e23,e23) != e23 ) )
    & ( op2(e20,e20) = e20
      | op2(e21,e21) = e21
      | op2(e22,e22) = e22
      | op2(e23,e23) = e23 )
    & ( op2(e20,e20) != e20
      | op2(e20,e20) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) = e20 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) = e21 )
    & ( op2(e21,e21) != e21
      | op2(e21,e21) = e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) = e21 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) = e21 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) = e22 )
    & ( op2(e22,e22) != e22
      | op2(e22,e22) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) = e22 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) = e23 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) = e23 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) != e23
      | op2(e23,e23) = e23 ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax11]),c_0_16]) ).

fof(c_0_24,plain,
    ( epred7_0
  <=> ( ( op2(e20,e20) = e20
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e21) = e21
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e22) = e22
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e23) = e23
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e21,e20) = e20
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & op2(e21,e21) != e21
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) )
      | ( op2(e21,e21) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & op2(e21,e21) != e21
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) ) ) ),
    introduced(definition) ).

fof(c_0_25,plain,
    ( epred6_0
  <=> ( ( op2(e20,e20) = e20
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e21) = e21
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e22) = e22
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e23) = e23
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) ) ) ),
    introduced(definition) ).

fof(c_0_26,plain,
    ( epred5_0
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e21) = e21
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_17]) ).

fof(c_0_27,plain,
    ( 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) ),
    inference(fof_simplification,[status(thm)],[ax5]) ).

fof(c_0_28,plain,
    ( ( epred18_0
      | ( op1(e13,e12) = e12
        & ( op1(e10,e10) != e13
          | op1(e10,e13) != e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) != e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) != e12 )
        & op1(e13,e13) != e13 )
      | ( op1(e13,e13) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) != e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) != e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) != e12 )
        & op1(e13,e13) != e13 ) )
    & ( op1(e10,e10) = e10
      | op1(e11,e11) = e11
      | op1(e12,e12) = e12
      | op1(e13,e13) = e13 )
    & ( op1(e10,e10) != e10
      | op1(e10,e10) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) = e10 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) = e11 )
    & ( op1(e11,e11) != e11
      | op1(e11,e11) = e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) = e11 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) = e11 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) = e12 )
    & ( op1(e12,e12) != e12
      | op1(e12,e12) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) = e12 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) = e13 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) = e13 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) != e13
      | op1(e13,e13) = e13 ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax10]),c_0_18]) ).

cnf(c_0_29,plain,
    e21 = op2(op2(op2(e23,e23),e23),e23),
    inference(split_conjunct,[status(thm)],[ax13]) ).

cnf(c_0_30,plain,
    op2(e20,e23) = e22,
    inference(rw,[status(thm)],[c_0_19,c_0_20]) ).

fof(c_0_31,plain,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    inference(fof_nnf,[status(thm)],[c_0_21]) ).

fof(c_0_32,plain,
    ( 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) ),
    inference(fof_nnf,[status(thm)],[c_0_22]) ).

fof(c_0_33,plain,
    ( ( op2(e23,e23) = e23
      | op2(e23,e22) = e22
      | epred11_0 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) != e20
      | op2(e23,e22) = e22
      | epred11_0 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) != e21
      | op2(e23,e22) = e22
      | epred11_0 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) != e22
      | op2(e23,e22) = e22
      | epred11_0 )
    & ( op2(e23,e23) != e23
      | op2(e23,e22) = e22
      | epred11_0 )
    & ( op2(e23,e23) = e23
      | op2(e20,e20) != e23
      | op2(e20,e23) != e20
      | epred11_0 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) != e20
      | op2(e20,e20) != e23
      | op2(e20,e23) != e20
      | epred11_0 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) != e21
      | op2(e20,e20) != e23
      | op2(e20,e23) != e20
      | epred11_0 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) != e22
      | op2(e20,e20) != e23
      | op2(e20,e23) != e20
      | epred11_0 )
    & ( op2(e23,e23) != e23
      | op2(e20,e20) != e23
      | op2(e20,e23) != e20
      | epred11_0 )
    & ( op2(e23,e23) = e23
      | op2(e21,e21) != e23
      | op2(e21,e23) != e21
      | epred11_0 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) != e20
      | op2(e21,e21) != e23
      | op2(e21,e23) != e21
      | epred11_0 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) != e21
      | op2(e21,e21) != e23
      | op2(e21,e23) != e21
      | epred11_0 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) != e22
      | op2(e21,e21) != e23
      | op2(e21,e23) != e21
      | epred11_0 )
    & ( op2(e23,e23) != e23
      | op2(e21,e21) != e23
      | op2(e21,e23) != e21
      | epred11_0 )
    & ( op2(e23,e23) = e23
      | op2(e22,e22) != e23
      | op2(e22,e23) != e22
      | epred11_0 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) != e20
      | op2(e22,e22) != e23
      | op2(e22,e23) != e22
      | epred11_0 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) != e21
      | op2(e22,e22) != e23
      | op2(e22,e23) != e22
      | epred11_0 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) != e22
      | op2(e22,e22) != e23
      | op2(e22,e23) != e22
      | epred11_0 )
    & ( op2(e23,e23) != e23
      | op2(e22,e22) != e23
      | op2(e22,e23) != e22
      | epred11_0 )
    & ( op2(e23,e23) = e23
      | op2(e23,e23) != e23
      | epred11_0 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) != e20
      | op2(e23,e23) != e23
      | epred11_0 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) != e21
      | op2(e23,e23) != e23
      | epred11_0 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) != e22
      | op2(e23,e23) != e23
      | epred11_0 )
    & ( op2(e23,e23) != e23
      | op2(e23,e23) != e23
      | epred11_0 )
    & ( op2(e20,e20) = e20
      | op2(e21,e21) = e21
      | op2(e22,e22) = e22
      | op2(e23,e23) = e23 )
    & ( op2(e20,e20) != e20
      | op2(e20,e20) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) = e20 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) = e21 )
    & ( op2(e21,e21) != e21
      | op2(e21,e21) = e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) = e21 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) = e21 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) = e22 )
    & ( op2(e22,e22) != e22
      | op2(e22,e22) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) = e22 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) = e23 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) = e23 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) != e23
      | op2(e23,e23) = e23 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])]) ).

fof(c_0_34,plain,
    ( epred10_0
  <=> ( ( op2(e20,e20) = e20
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e21) = e21
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e22) = e22
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e23) = e23
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e21,e20) = e20
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & op2(e21,e21) != e21
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) )
      | ( op2(e21,e21) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & op2(e21,e21) != e21
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) )
      | ( op2(e21,e22) = e22
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & op2(e21,e21) != e21
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) )
      | ( op2(e21,e23) = e23
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & op2(e21,e21) != e21
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) )
      | ( op2(e22,e20) = e20
        & ( op2(e20,e20) != e22
          | op2(e20,e22) != e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) != e21 )
        & op2(e22,e22) != e22
        & ( op2(e23,e23) != e22
          | op2(e23,e22) != e23 ) )
      | ( op2(e22,e21) = e21
        & ( op2(e20,e20) != e22
          | op2(e20,e22) != e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) != e21 )
        & op2(e22,e22) != e22
        & ( op2(e23,e23) != e22
          | op2(e23,e22) != e23 ) )
      | ( op2(e22,e22) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) != e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) != e21 )
        & op2(e22,e22) != e22
        & ( op2(e23,e23) != e22
          | op2(e23,e22) != e23 ) )
      | ( op2(e22,e23) = e23
        & ( op2(e20,e20) != e22
          | op2(e20,e22) != e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) != e21 )
        & op2(e22,e22) != e22
        & ( op2(e23,e23) != e22
          | op2(e23,e22) != e23 ) ) ) ),
    introduced(definition) ).

fof(c_0_35,plain,
    ( epred9_0
  <=> ( ( op2(e20,e20) = e20
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e21) = e21
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e22) = e22
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e23) = e23
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e21,e20) = e20
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & op2(e21,e21) != e21
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) )
      | ( op2(e21,e21) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & op2(e21,e21) != e21
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) )
      | ( op2(e21,e22) = e22
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & op2(e21,e21) != e21
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) )
      | ( op2(e21,e23) = e23
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & op2(e21,e21) != e21
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) )
      | ( op2(e22,e20) = e20
        & ( op2(e20,e20) != e22
          | op2(e20,e22) != e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) != e21 )
        & op2(e22,e22) != e22
        & ( op2(e23,e23) != e22
          | op2(e23,e22) != e23 ) )
      | ( op2(e22,e21) = e21
        & ( op2(e20,e20) != e22
          | op2(e20,e22) != e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) != e21 )
        & op2(e22,e22) != e22
        & ( op2(e23,e23) != e22
          | op2(e23,e22) != e23 ) ) ) ),
    introduced(definition) ).

fof(c_0_36,plain,
    ( epred8_0
  <=> ( ( op2(e20,e20) = e20
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e21) = e21
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e22) = e22
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e23) = e23
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e21,e20) = e20
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & op2(e21,e21) != e21
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) )
      | ( op2(e21,e21) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & op2(e21,e21) != e21
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) )
      | ( op2(e21,e22) = e22
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & op2(e21,e21) != e21
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) )
      | ( op2(e21,e23) = e23
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & op2(e21,e21) != e21
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) ) ) ),
    introduced(definition) ).

fof(c_0_37,plain,
    ( epred7_0
   => ( epred6_0
      | ( op2(e21,e20) = e20
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & op2(e21,e21) != e21
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) )
      | ( op2(e21,e21) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & op2(e21,e21) != e21
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_24]),c_0_25]) ).

fof(c_0_38,plain,
    ( epred6_0
   => ( epred5_0
      | ( op2(e20,e22) = e22
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) )
      | ( op2(e20,e23) = e23
        & op2(e20,e20) != e20
        & ( op2(e21,e21) != e20
          | op2(e21,e20) != e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) != e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) != e23 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_25]),c_0_17]) ).

fof(c_0_39,plain,
    ( ( op2(e20,e21) = e21
      | op2(e20,e20) = e20
      | ~ epred5_0 )
    & ( op2(e20,e20) != e20
      | op2(e20,e20) = e20
      | ~ epred5_0 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) != e21
      | op2(e20,e20) = e20
      | ~ epred5_0 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) != e22
      | op2(e20,e20) = e20
      | ~ epred5_0 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) != e23
      | op2(e20,e20) = e20
      | ~ epred5_0 )
    & ( op2(e20,e21) = e21
      | op2(e20,e20) != e20
      | ~ epred5_0 )
    & ( op2(e20,e20) != e20
      | op2(e20,e20) != e20
      | ~ epred5_0 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) != e21
      | op2(e20,e20) != e20
      | ~ epred5_0 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) != e22
      | op2(e20,e20) != e20
      | ~ epred5_0 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) != e23
      | op2(e20,e20) != e20
      | ~ epred5_0 )
    & ( op2(e20,e21) = e21
      | op2(e21,e21) != e20
      | op2(e21,e20) != e21
      | ~ epred5_0 )
    & ( op2(e20,e20) != e20
      | op2(e21,e21) != e20
      | op2(e21,e20) != e21
      | ~ epred5_0 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) != e21
      | op2(e21,e21) != e20
      | op2(e21,e20) != e21
      | ~ epred5_0 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) != e22
      | op2(e21,e21) != e20
      | op2(e21,e20) != e21
      | ~ epred5_0 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) != e23
      | op2(e21,e21) != e20
      | op2(e21,e20) != e21
      | ~ epred5_0 )
    & ( op2(e20,e21) = e21
      | op2(e22,e22) != e20
      | op2(e22,e20) != e22
      | ~ epred5_0 )
    & ( op2(e20,e20) != e20
      | op2(e22,e22) != e20
      | op2(e22,e20) != e22
      | ~ epred5_0 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) != e21
      | op2(e22,e22) != e20
      | op2(e22,e20) != e22
      | ~ epred5_0 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) != e22
      | op2(e22,e22) != e20
      | op2(e22,e20) != e22
      | ~ epred5_0 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) != e23
      | op2(e22,e22) != e20
      | op2(e22,e20) != e22
      | ~ epred5_0 )
    & ( op2(e20,e21) = e21
      | op2(e23,e23) != e20
      | op2(e23,e20) != e23
      | ~ epred5_0 )
    & ( op2(e20,e20) != e20
      | op2(e23,e23) != e20
      | op2(e23,e20) != e23
      | ~ epred5_0 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) != e21
      | op2(e23,e23) != e20
      | op2(e23,e20) != e23
      | ~ epred5_0 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) != e22
      | op2(e23,e23) != e20
      | op2(e23,e20) != e23
      | ~ epred5_0 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) != e23
      | op2(e23,e23) != e20
      | op2(e23,e20) != e23
      | ~ epred5_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).

fof(c_0_40,plain,
    ( 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) ),
    inference(fof_nnf,[status(thm)],[c_0_27]) ).

cnf(c_0_41,plain,
    e12 = op1(op1(e13,e13),e13),
    inference(split_conjunct,[status(thm)],[ax12]) ).

cnf(c_0_42,plain,
    e10 = op1(e13,e13),
    inference(split_conjunct,[status(thm)],[ax12]) ).

fof(c_0_43,plain,
    ( ( op1(e13,e13) = e13
      | op1(e13,e12) = e12
      | epred18_0 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) != e10
      | op1(e13,e12) = e12
      | epred18_0 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) != e11
      | op1(e13,e12) = e12
      | epred18_0 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) != e12
      | op1(e13,e12) = e12
      | epred18_0 )
    & ( op1(e13,e13) != e13
      | op1(e13,e12) = e12
      | epred18_0 )
    & ( op1(e13,e13) = e13
      | op1(e10,e10) != e13
      | op1(e10,e13) != e10
      | epred18_0 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) != e10
      | op1(e10,e10) != e13
      | op1(e10,e13) != e10
      | epred18_0 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) != e11
      | op1(e10,e10) != e13
      | op1(e10,e13) != e10
      | epred18_0 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) != e12
      | op1(e10,e10) != e13
      | op1(e10,e13) != e10
      | epred18_0 )
    & ( op1(e13,e13) != e13
      | op1(e10,e10) != e13
      | op1(e10,e13) != e10
      | epred18_0 )
    & ( op1(e13,e13) = e13
      | op1(e11,e11) != e13
      | op1(e11,e13) != e11
      | epred18_0 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) != e10
      | op1(e11,e11) != e13
      | op1(e11,e13) != e11
      | epred18_0 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) != e11
      | op1(e11,e11) != e13
      | op1(e11,e13) != e11
      | epred18_0 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) != e12
      | op1(e11,e11) != e13
      | op1(e11,e13) != e11
      | epred18_0 )
    & ( op1(e13,e13) != e13
      | op1(e11,e11) != e13
      | op1(e11,e13) != e11
      | epred18_0 )
    & ( op1(e13,e13) = e13
      | op1(e12,e12) != e13
      | op1(e12,e13) != e12
      | epred18_0 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) != e10
      | op1(e12,e12) != e13
      | op1(e12,e13) != e12
      | epred18_0 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) != e11
      | op1(e12,e12) != e13
      | op1(e12,e13) != e12
      | epred18_0 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) != e12
      | op1(e12,e12) != e13
      | op1(e12,e13) != e12
      | epred18_0 )
    & ( op1(e13,e13) != e13
      | op1(e12,e12) != e13
      | op1(e12,e13) != e12
      | epred18_0 )
    & ( op1(e13,e13) = e13
      | op1(e13,e13) != e13
      | epred18_0 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) != e10
      | op1(e13,e13) != e13
      | epred18_0 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) != e11
      | op1(e13,e13) != e13
      | epred18_0 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) != e12
      | op1(e13,e13) != e13
      | epred18_0 )
    & ( op1(e13,e13) != e13
      | op1(e13,e13) != e13
      | epred18_0 )
    & ( op1(e10,e10) = e10
      | op1(e11,e11) = e11
      | op1(e12,e12) = e12
      | op1(e13,e13) = e13 )
    & ( op1(e10,e10) != e10
      | op1(e10,e10) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) = e10 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) = e11 )
    & ( op1(e11,e11) != e11
      | op1(e11,e11) = e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) = e11 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) = e11 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) = e12 )
    & ( op1(e12,e12) != e12
      | op1(e12,e12) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) = e12 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) = e13 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) = e13 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) != e13
      | op1(e13,e13) = e13 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])]) ).

fof(c_0_44,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(fof_simplification,[status(thm)],[ax7]) ).

cnf(c_0_45,plain,
    ( op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23
    | op2(e23,e23) = e23 ),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_46,plain,
    op2(e22,e23) = e21,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_20]),c_0_30]) ).

cnf(c_0_47,plain,
    e22 != e23,
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_48,plain,
    e21 != e23,
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_49,plain,
    e20 != e23,
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_50,plain,
    op2(e20,e23) != op2(e22,e23),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_51,plain,
    ( op2(e23,e20) = e23
    | op2(e23,e23) != e20 ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

fof(c_0_52,plain,
    ( epred10_0
   => ( epred9_0
      | ( op2(e22,e22) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) != e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) != e21 )
        & op2(e22,e22) != e22
        & ( op2(e23,e23) != e22
          | op2(e23,e22) != e23 ) )
      | ( op2(e22,e23) = e23
        & ( op2(e20,e20) != e22
          | op2(e20,e22) != e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) != e21 )
        & op2(e22,e22) != e22
        & ( op2(e23,e23) != e22
          | op2(e23,e22) != e23 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_34]),c_0_35]) ).

fof(c_0_53,plain,
    ( epred11_0
   => ( epred10_0
      | ( op2(e23,e20) = e20
        & ( op2(e20,e20) != e23
          | op2(e20,e23) != e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) != e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) != e22 )
        & op2(e23,e23) != e23 )
      | ( op2(e23,e21) = e21
        & ( op2(e20,e20) != e23
          | op2(e20,e23) != e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) != e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) != e22 )
        & op2(e23,e23) != e23 ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_16]),c_0_34]) ).

fof(c_0_54,plain,
    ( epred8_0
   => ( epred7_0
      | ( op2(e21,e22) = e22
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & op2(e21,e21) != e21
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) )
      | ( op2(e21,e23) = e23
        & ( op2(e20,e20) != e21
          | op2(e20,e21) != e20 )
        & op2(e21,e21) != e21
        & ( op2(e22,e22) != e21
          | op2(e22,e21) != e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) != e23 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_36]),c_0_24]) ).

fof(c_0_55,plain,
    ( ( op2(e21,e21) = e21
      | op2(e21,e20) = e20
      | epred6_0
      | ~ epred7_0 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) != e20
      | op2(e21,e20) = e20
      | epred6_0
      | ~ epred7_0 )
    & ( op2(e21,e21) != e21
      | op2(e21,e20) = e20
      | epred6_0
      | ~ epred7_0 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) != e22
      | op2(e21,e20) = e20
      | epred6_0
      | ~ epred7_0 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) != e23
      | op2(e21,e20) = e20
      | epred6_0
      | ~ epred7_0 )
    & ( op2(e21,e21) = e21
      | op2(e20,e20) != e21
      | op2(e20,e21) != e20
      | epred6_0
      | ~ epred7_0 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) != e20
      | op2(e20,e20) != e21
      | op2(e20,e21) != e20
      | epred6_0
      | ~ epred7_0 )
    & ( op2(e21,e21) != e21
      | op2(e20,e20) != e21
      | op2(e20,e21) != e20
      | epred6_0
      | ~ epred7_0 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) != e22
      | op2(e20,e20) != e21
      | op2(e20,e21) != e20
      | epred6_0
      | ~ epred7_0 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) != e23
      | op2(e20,e20) != e21
      | op2(e20,e21) != e20
      | epred6_0
      | ~ epred7_0 )
    & ( op2(e21,e21) = e21
      | op2(e21,e21) != e21
      | epred6_0
      | ~ epred7_0 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) != e20
      | op2(e21,e21) != e21
      | epred6_0
      | ~ epred7_0 )
    & ( op2(e21,e21) != e21
      | op2(e21,e21) != e21
      | epred6_0
      | ~ epred7_0 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) != e22
      | op2(e21,e21) != e21
      | epred6_0
      | ~ epred7_0 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) != e23
      | op2(e21,e21) != e21
      | epred6_0
      | ~ epred7_0 )
    & ( op2(e21,e21) = e21
      | op2(e22,e22) != e21
      | op2(e22,e21) != e22
      | epred6_0
      | ~ epred7_0 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) != e20
      | op2(e22,e22) != e21
      | op2(e22,e21) != e22
      | epred6_0
      | ~ epred7_0 )
    & ( op2(e21,e21) != e21
      | op2(e22,e22) != e21
      | op2(e22,e21) != e22
      | epred6_0
      | ~ epred7_0 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) != e22
      | op2(e22,e22) != e21
      | op2(e22,e21) != e22
      | epred6_0
      | ~ epred7_0 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) != e23
      | op2(e22,e22) != e21
      | op2(e22,e21) != e22
      | epred6_0
      | ~ epred7_0 )
    & ( op2(e21,e21) = e21
      | op2(e23,e23) != e21
      | op2(e23,e21) != e23
      | epred6_0
      | ~ epred7_0 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) != e20
      | op2(e23,e23) != e21
      | op2(e23,e21) != e23
      | epred6_0
      | ~ epred7_0 )
    & ( op2(e21,e21) != e21
      | op2(e23,e23) != e21
      | op2(e23,e21) != e23
      | epred6_0
      | ~ epred7_0 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) != e22
      | op2(e23,e23) != e21
      | op2(e23,e21) != e23
      | epred6_0
      | ~ epred7_0 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) != e23
      | op2(e23,e23) != e21
      | op2(e23,e21) != e23
      | epred6_0
      | ~ epred7_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])]) ).

fof(c_0_56,plain,
    ( ( op2(e20,e23) = e23
      | op2(e20,e22) = e22
      | epred5_0
      | ~ epred6_0 )
    & ( op2(e20,e20) != e20
      | op2(e20,e22) = e22
      | epred5_0
      | ~ epred6_0 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) != e21
      | op2(e20,e22) = e22
      | epred5_0
      | ~ epred6_0 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) != e22
      | op2(e20,e22) = e22
      | epred5_0
      | ~ epred6_0 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) != e23
      | op2(e20,e22) = e22
      | epred5_0
      | ~ epred6_0 )
    & ( op2(e20,e23) = e23
      | op2(e20,e20) != e20
      | epred5_0
      | ~ epred6_0 )
    & ( op2(e20,e20) != e20
      | op2(e20,e20) != e20
      | epred5_0
      | ~ epred6_0 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) != e21
      | op2(e20,e20) != e20
      | epred5_0
      | ~ epred6_0 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) != e22
      | op2(e20,e20) != e20
      | epred5_0
      | ~ epred6_0 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) != e23
      | op2(e20,e20) != e20
      | epred5_0
      | ~ epred6_0 )
    & ( op2(e20,e23) = e23
      | op2(e21,e21) != e20
      | op2(e21,e20) != e21
      | epred5_0
      | ~ epred6_0 )
    & ( op2(e20,e20) != e20
      | op2(e21,e21) != e20
      | op2(e21,e20) != e21
      | epred5_0
      | ~ epred6_0 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) != e21
      | op2(e21,e21) != e20
      | op2(e21,e20) != e21
      | epred5_0
      | ~ epred6_0 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) != e22
      | op2(e21,e21) != e20
      | op2(e21,e20) != e21
      | epred5_0
      | ~ epred6_0 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) != e23
      | op2(e21,e21) != e20
      | op2(e21,e20) != e21
      | epred5_0
      | ~ epred6_0 )
    & ( op2(e20,e23) = e23
      | op2(e22,e22) != e20
      | op2(e22,e20) != e22
      | epred5_0
      | ~ epred6_0 )
    & ( op2(e20,e20) != e20
      | op2(e22,e22) != e20
      | op2(e22,e20) != e22
      | epred5_0
      | ~ epred6_0 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) != e21
      | op2(e22,e22) != e20
      | op2(e22,e20) != e22
      | epred5_0
      | ~ epred6_0 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) != e22
      | op2(e22,e22) != e20
      | op2(e22,e20) != e22
      | epred5_0
      | ~ epred6_0 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) != e23
      | op2(e22,e22) != e20
      | op2(e22,e20) != e22
      | epred5_0
      | ~ epred6_0 )
    & ( op2(e20,e23) = e23
      | op2(e23,e23) != e20
      | op2(e23,e20) != e23
      | epred5_0
      | ~ epred6_0 )
    & ( op2(e20,e20) != e20
      | op2(e23,e23) != e20
      | op2(e23,e20) != e23
      | epred5_0
      | ~ epred6_0 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) != e21
      | op2(e23,e23) != e20
      | op2(e23,e20) != e23
      | epred5_0
      | ~ epred6_0 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) != e22
      | op2(e23,e23) != e20
      | op2(e23,e20) != e23
      | epred5_0
      | ~ epred6_0 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) != e23
      | op2(e23,e23) != e20
      | op2(e23,e20) != e23
      | epred5_0
      | ~ epred6_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).

cnf(c_0_57,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e20) != e23
    | op2(e23,e23) != e20
    | op2(e23,e20) != e23
    | ~ epred5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_58,plain,
    op1(e10,e13) != op1(e12,e13),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_59,plain,
    op1(e10,e13) = e12,
    inference(rw,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_60,plain,
    ( op1(e13,e10) = e13
    | op1(e13,e13) != e10 ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_61,plain,
    e11 = op1(op1(op1(e13,e13),e13),e13),
    inference(split_conjunct,[status(thm)],[ax12]) ).

fof(c_0_62,plain,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    inference(fof_nnf,[status(thm)],[c_0_44]) ).

fof(c_0_63,plain,
    ( epred12_0
  <=> ( ( op1(e10,e10) = e10
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e11) = e11
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) ) ) ),
    introduced(definition) ).

cnf(c_0_64,plain,
    op2(e21,e21) != op2(e21,e23),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_65,plain,
    h2(e10) = op2(e21,e21),
    inference(split_conjunct,[status(thm)],[ax15]) ).

cnf(c_0_66,plain,
    op2(e21,e22) != op2(e21,e23),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_67,plain,
    op2(e21,e23) = e23,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_30]),c_0_46]),c_0_20]),c_0_47]),c_0_48]),c_0_49]) ).

cnf(c_0_68,plain,
    ( op2(e22,e23) = e22
    | op2(e22,e22) != e23 ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_69,plain,
    h3(e10) = op2(e22,e22),
    inference(split_conjunct,[status(thm)],[ax16]) ).

cnf(c_0_70,plain,
    op2(e22,e23) != e22,
    inference(rw,[status(thm)],[c_0_50,c_0_30]) ).

cnf(c_0_71,plain,
    op2(e23,e20) != op2(e23,e22),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_72,plain,
    op2(e23,e20) = e23,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_20])]) ).

fof(c_0_73,plain,
    ( ( op2(e22,e23) = e23
      | op2(e22,e22) = e22
      | epred9_0
      | ~ epred10_0 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) != e20
      | op2(e22,e22) = e22
      | epred9_0
      | ~ epred10_0 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) != e21
      | op2(e22,e22) = e22
      | epred9_0
      | ~ epred10_0 )
    & ( op2(e22,e22) != e22
      | op2(e22,e22) = e22
      | epred9_0
      | ~ epred10_0 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) != e23
      | op2(e22,e22) = e22
      | epred9_0
      | ~ epred10_0 )
    & ( op2(e22,e23) = e23
      | op2(e20,e20) != e22
      | op2(e20,e22) != e20
      | epred9_0
      | ~ epred10_0 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) != e20
      | op2(e20,e20) != e22
      | op2(e20,e22) != e20
      | epred9_0
      | ~ epred10_0 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) != e21
      | op2(e20,e20) != e22
      | op2(e20,e22) != e20
      | epred9_0
      | ~ epred10_0 )
    & ( op2(e22,e22) != e22
      | op2(e20,e20) != e22
      | op2(e20,e22) != e20
      | epred9_0
      | ~ epred10_0 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) != e23
      | op2(e20,e20) != e22
      | op2(e20,e22) != e20
      | epred9_0
      | ~ epred10_0 )
    & ( op2(e22,e23) = e23
      | op2(e21,e21) != e22
      | op2(e21,e22) != e21
      | epred9_0
      | ~ epred10_0 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) != e20
      | op2(e21,e21) != e22
      | op2(e21,e22) != e21
      | epred9_0
      | ~ epred10_0 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) != e21
      | op2(e21,e21) != e22
      | op2(e21,e22) != e21
      | epred9_0
      | ~ epred10_0 )
    & ( op2(e22,e22) != e22
      | op2(e21,e21) != e22
      | op2(e21,e22) != e21
      | epred9_0
      | ~ epred10_0 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) != e23
      | op2(e21,e21) != e22
      | op2(e21,e22) != e21
      | epred9_0
      | ~ epred10_0 )
    & ( op2(e22,e23) = e23
      | op2(e22,e22) != e22
      | epred9_0
      | ~ epred10_0 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) != e20
      | op2(e22,e22) != e22
      | epred9_0
      | ~ epred10_0 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) != e21
      | op2(e22,e22) != e22
      | epred9_0
      | ~ epred10_0 )
    & ( op2(e22,e22) != e22
      | op2(e22,e22) != e22
      | epred9_0
      | ~ epred10_0 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) != e23
      | op2(e22,e22) != e22
      | epred9_0
      | ~ epred10_0 )
    & ( op2(e22,e23) = e23
      | op2(e23,e23) != e22
      | op2(e23,e22) != e23
      | epred9_0
      | ~ epred10_0 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) != e20
      | op2(e23,e23) != e22
      | op2(e23,e22) != e23
      | epred9_0
      | ~ epred10_0 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) != e21
      | op2(e23,e23) != e22
      | op2(e23,e22) != e23
      | epred9_0
      | ~ epred10_0 )
    & ( op2(e22,e22) != e22
      | op2(e23,e23) != e22
      | op2(e23,e22) != e23
      | epred9_0
      | ~ epred10_0 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) != e23
      | op2(e23,e23) != e22
      | op2(e23,e22) != e23
      | epred9_0
      | ~ epred10_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])]) ).

fof(c_0_74,plain,
    ( epred9_0
   => ( epred8_0
      | ( op2(e22,e20) = e20
        & ( op2(e20,e20) != e22
          | op2(e20,e22) != e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) != e21 )
        & op2(e22,e22) != e22
        & ( op2(e23,e23) != e22
          | op2(e23,e22) != e23 ) )
      | ( op2(e22,e21) = e21
        & ( op2(e20,e20) != e22
          | op2(e20,e22) != e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) != e21 )
        & op2(e22,e22) != e22
        & ( op2(e23,e23) != e22
          | op2(e23,e22) != e23 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_35]),c_0_36]) ).

fof(c_0_75,plain,
    ( ( op2(e23,e21) = e21
      | op2(e23,e20) = e20
      | epred10_0
      | ~ epred11_0 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) != e20
      | op2(e23,e20) = e20
      | epred10_0
      | ~ epred11_0 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) != e21
      | op2(e23,e20) = e20
      | epred10_0
      | ~ epred11_0 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) != e22
      | op2(e23,e20) = e20
      | epred10_0
      | ~ epred11_0 )
    & ( op2(e23,e23) != e23
      | op2(e23,e20) = e20
      | epred10_0
      | ~ epred11_0 )
    & ( op2(e23,e21) = e21
      | op2(e20,e20) != e23
      | op2(e20,e23) != e20
      | epred10_0
      | ~ epred11_0 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) != e20
      | op2(e20,e20) != e23
      | op2(e20,e23) != e20
      | epred10_0
      | ~ epred11_0 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) != e21
      | op2(e20,e20) != e23
      | op2(e20,e23) != e20
      | epred10_0
      | ~ epred11_0 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) != e22
      | op2(e20,e20) != e23
      | op2(e20,e23) != e20
      | epred10_0
      | ~ epred11_0 )
    & ( op2(e23,e23) != e23
      | op2(e20,e20) != e23
      | op2(e20,e23) != e20
      | epred10_0
      | ~ epred11_0 )
    & ( op2(e23,e21) = e21
      | op2(e21,e21) != e23
      | op2(e21,e23) != e21
      | epred10_0
      | ~ epred11_0 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) != e20
      | op2(e21,e21) != e23
      | op2(e21,e23) != e21
      | epred10_0
      | ~ epred11_0 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) != e21
      | op2(e21,e21) != e23
      | op2(e21,e23) != e21
      | epred10_0
      | ~ epred11_0 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) != e22
      | op2(e21,e21) != e23
      | op2(e21,e23) != e21
      | epred10_0
      | ~ epred11_0 )
    & ( op2(e23,e23) != e23
      | op2(e21,e21) != e23
      | op2(e21,e23) != e21
      | epred10_0
      | ~ epred11_0 )
    & ( op2(e23,e21) = e21
      | op2(e22,e22) != e23
      | op2(e22,e23) != e22
      | epred10_0
      | ~ epred11_0 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) != e20
      | op2(e22,e22) != e23
      | op2(e22,e23) != e22
      | epred10_0
      | ~ epred11_0 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) != e21
      | op2(e22,e22) != e23
      | op2(e22,e23) != e22
      | epred10_0
      | ~ epred11_0 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) != e22
      | op2(e22,e22) != e23
      | op2(e22,e23) != e22
      | epred10_0
      | ~ epred11_0 )
    & ( op2(e23,e23) != e23
      | op2(e22,e22) != e23
      | op2(e22,e23) != e22
      | epred10_0
      | ~ epred11_0 )
    & ( op2(e23,e21) = e21
      | op2(e23,e23) != e23
      | epred10_0
      | ~ epred11_0 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) != e20
      | op2(e23,e23) != e23
      | epred10_0
      | ~ epred11_0 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) != e21
      | op2(e23,e23) != e23
      | epred10_0
      | ~ epred11_0 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) != e22
      | op2(e23,e23) != e23
      | epred10_0
      | ~ epred11_0 )
    & ( op2(e23,e23) != e23
      | op2(e23,e23) != e23
      | epred10_0
      | ~ epred11_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])]) ).

fof(c_0_76,plain,
    ( ( op2(e21,e23) = e23
      | op2(e21,e22) = e22
      | epred7_0
      | ~ epred8_0 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) != e20
      | op2(e21,e22) = e22
      | epred7_0
      | ~ epred8_0 )
    & ( op2(e21,e21) != e21
      | op2(e21,e22) = e22
      | epred7_0
      | ~ epred8_0 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) != e22
      | op2(e21,e22) = e22
      | epred7_0
      | ~ epred8_0 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) != e23
      | op2(e21,e22) = e22
      | epred7_0
      | ~ epred8_0 )
    & ( op2(e21,e23) = e23
      | op2(e20,e20) != e21
      | op2(e20,e21) != e20
      | epred7_0
      | ~ epred8_0 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) != e20
      | op2(e20,e20) != e21
      | op2(e20,e21) != e20
      | epred7_0
      | ~ epred8_0 )
    & ( op2(e21,e21) != e21
      | op2(e20,e20) != e21
      | op2(e20,e21) != e20
      | epred7_0
      | ~ epred8_0 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) != e22
      | op2(e20,e20) != e21
      | op2(e20,e21) != e20
      | epred7_0
      | ~ epred8_0 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) != e23
      | op2(e20,e20) != e21
      | op2(e20,e21) != e20
      | epred7_0
      | ~ epred8_0 )
    & ( op2(e21,e23) = e23
      | op2(e21,e21) != e21
      | epred7_0
      | ~ epred8_0 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) != e20
      | op2(e21,e21) != e21
      | epred7_0
      | ~ epred8_0 )
    & ( op2(e21,e21) != e21
      | op2(e21,e21) != e21
      | epred7_0
      | ~ epred8_0 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) != e22
      | op2(e21,e21) != e21
      | epred7_0
      | ~ epred8_0 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) != e23
      | op2(e21,e21) != e21
      | epred7_0
      | ~ epred8_0 )
    & ( op2(e21,e23) = e23
      | op2(e22,e22) != e21
      | op2(e22,e21) != e22
      | epred7_0
      | ~ epred8_0 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) != e20
      | op2(e22,e22) != e21
      | op2(e22,e21) != e22
      | epred7_0
      | ~ epred8_0 )
    & ( op2(e21,e21) != e21
      | op2(e22,e22) != e21
      | op2(e22,e21) != e22
      | epred7_0
      | ~ epred8_0 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) != e22
      | op2(e22,e22) != e21
      | op2(e22,e21) != e22
      | epred7_0
      | ~ epred8_0 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) != e23
      | op2(e22,e22) != e21
      | op2(e22,e21) != e22
      | epred7_0
      | ~ epred8_0 )
    & ( op2(e21,e23) = e23
      | op2(e23,e23) != e21
      | op2(e23,e21) != e23
      | epred7_0
      | ~ epred8_0 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) != e20
      | op2(e23,e23) != e21
      | op2(e23,e21) != e23
      | epred7_0
      | ~ epred8_0 )
    & ( op2(e21,e21) != e21
      | op2(e23,e23) != e21
      | op2(e23,e21) != e23
      | epred7_0
      | ~ epred8_0 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) != e22
      | op2(e23,e23) != e21
      | op2(e23,e21) != e23
      | epred7_0
      | ~ epred8_0 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) != e23
      | op2(e23,e23) != e21
      | op2(e23,e21) != e23
      | epred7_0
      | ~ epred8_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])]) ).

cnf(c_0_77,plain,
    ( epred6_0
    | op2(e21,e21) != e21
    | op2(e21,e21) != e21
    | ~ epred7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_78,plain,
    ( epred5_0
    | op2(e23,e23) != e20
    | op2(e23,e20) != e23
    | op2(e23,e23) != e20
    | op2(e23,e20) != e23
    | ~ epred6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_79,plain,
    ( op2(e23,e20) != e23
    | op2(e23,e23) != e20
    | ~ epred5_0 ),
    inference(cn,[status(thm)],[c_0_57]) ).

cnf(c_0_80,plain,
    ( op1(e12,e13) = e12
    | op1(e12,e12) != e13 ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_81,plain,
    op1(e12,e13) != e12,
    inference(rw,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_82,plain,
    op1(e13,e10) != op1(e13,e12),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_83,plain,
    op1(e13,e10) = e13,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_42])]) ).

cnf(c_0_84,plain,
    ( op1(e10,e13) = e13
    | op1(e11,e13) = e13
    | op1(e12,e13) = e13
    | op1(e13,e13) = e13 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_85,plain,
    op1(e12,e13) = e11,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_42]),c_0_59]) ).

cnf(c_0_86,plain,
    e12 != e13,
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_87,plain,
    e11 != e13,
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_88,plain,
    e10 != e13,
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

fof(c_0_89,plain,
    ( epred12_0
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e11) = e11
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_63]) ).

cnf(c_0_90,plain,
    op2(e21,e23) != h2(e10),
    inference(rw,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_91,plain,
    op2(e23,e20) != op2(e23,e21),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_92,plain,
    ( op2(e20,e22) = e23
    | op2(e21,e22) = e23
    | op2(e22,e22) = e23
    | op2(e23,e22) = e23 ),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_93,plain,
    op2(e21,e22) != e23,
    inference(rw,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_94,plain,
    h3(e10) != e23,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).

cnf(c_0_95,plain,
    op2(e23,e22) != e23,
    inference(rw,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_96,plain,
    ( epred9_0
    | op2(e22,e22) != e22
    | op2(e22,e22) != e22
    | ~ epred10_0 ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

fof(c_0_97,plain,
    ( ( op2(e22,e21) = e21
      | op2(e22,e20) = e20
      | epred8_0
      | ~ epred9_0 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) != e20
      | op2(e22,e20) = e20
      | epred8_0
      | ~ epred9_0 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) != e21
      | op2(e22,e20) = e20
      | epred8_0
      | ~ epred9_0 )
    & ( op2(e22,e22) != e22
      | op2(e22,e20) = e20
      | epred8_0
      | ~ epred9_0 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) != e23
      | op2(e22,e20) = e20
      | epred8_0
      | ~ epred9_0 )
    & ( op2(e22,e21) = e21
      | op2(e20,e20) != e22
      | op2(e20,e22) != e20
      | epred8_0
      | ~ epred9_0 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) != e20
      | op2(e20,e20) != e22
      | op2(e20,e22) != e20
      | epred8_0
      | ~ epred9_0 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) != e21
      | op2(e20,e20) != e22
      | op2(e20,e22) != e20
      | epred8_0
      | ~ epred9_0 )
    & ( op2(e22,e22) != e22
      | op2(e20,e20) != e22
      | op2(e20,e22) != e20
      | epred8_0
      | ~ epred9_0 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) != e23
      | op2(e20,e20) != e22
      | op2(e20,e22) != e20
      | epred8_0
      | ~ epred9_0 )
    & ( op2(e22,e21) = e21
      | op2(e21,e21) != e22
      | op2(e21,e22) != e21
      | epred8_0
      | ~ epred9_0 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) != e20
      | op2(e21,e21) != e22
      | op2(e21,e22) != e21
      | epred8_0
      | ~ epred9_0 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) != e21
      | op2(e21,e21) != e22
      | op2(e21,e22) != e21
      | epred8_0
      | ~ epred9_0 )
    & ( op2(e22,e22) != e22
      | op2(e21,e21) != e22
      | op2(e21,e22) != e21
      | epred8_0
      | ~ epred9_0 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) != e23
      | op2(e21,e21) != e22
      | op2(e21,e22) != e21
      | epred8_0
      | ~ epred9_0 )
    & ( op2(e22,e21) = e21
      | op2(e22,e22) != e22
      | epred8_0
      | ~ epred9_0 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) != e20
      | op2(e22,e22) != e22
      | epred8_0
      | ~ epred9_0 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) != e21
      | op2(e22,e22) != e22
      | epred8_0
      | ~ epred9_0 )
    & ( op2(e22,e22) != e22
      | op2(e22,e22) != e22
      | epred8_0
      | ~ epred9_0 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) != e23
      | op2(e22,e22) != e22
      | epred8_0
      | ~ epred9_0 )
    & ( op2(e22,e21) = e21
      | op2(e23,e23) != e22
      | op2(e23,e22) != e23
      | epred8_0
      | ~ epred9_0 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) != e20
      | op2(e23,e23) != e22
      | op2(e23,e22) != e23
      | epred8_0
      | ~ epred9_0 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) != e21
      | op2(e23,e23) != e22
      | op2(e23,e22) != e23
      | epred8_0
      | ~ epred9_0 )
    & ( op2(e22,e22) != e22
      | op2(e23,e23) != e22
      | op2(e23,e22) != e23
      | epred8_0
      | ~ epred9_0 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) != e23
      | op2(e23,e23) != e22
      | op2(e23,e22) != e23
      | epred8_0
      | ~ epred9_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])])]) ).

cnf(c_0_98,plain,
    op2(e21,e21) != op2(e23,e21),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_99,plain,
    ( op2(e23,e21) = e21
    | op2(e23,e20) = e20
    | epred10_0
    | ~ epred11_0 ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_100,plain,
    op2(e22,e22) != op2(e23,e22),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_101,plain,
    ( op2(e23,e23) = e23
    | op2(e23,e22) = e22
    | epred11_0 ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_102,plain,
    ( epred7_0
    | op2(e21,e21) != e21
    | op2(e21,e21) != e21
    | ~ epred8_0 ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_103,plain,
    ( epred6_0
    | op2(e21,e21) != e21
    | ~ epred7_0 ),
    inference(cn,[status(thm)],[c_0_77]) ).

cnf(c_0_104,plain,
    ( epred5_0
    | op2(e23,e20) != e23
    | op2(e23,e23) != e20
    | ~ epred6_0 ),
    inference(cn,[status(thm)],[c_0_78]) ).

cnf(c_0_105,plain,
    ~ epred5_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_72]),c_0_20])]) ).

cnf(c_0_106,plain,
    op1(e13,e10) != op1(e13,e11),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_107,plain,
    ( op1(e10,e12) = e13
    | op1(e11,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_108,plain,
    op1(e12,e12) != e13,
    inference(sr,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_109,plain,
    op1(e13,e12) != e13,
    inference(rw,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_110,plain,
    op1(e11,e12) != op1(e11,e13),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_111,plain,
    op1(e11,e13) = e13,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_59]),c_0_85]),c_0_42]),c_0_86]),c_0_87]),c_0_88]) ).

fof(c_0_112,plain,
    ( epred14_0
  <=> ( ( op1(e10,e10) = e10
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e11) = e11
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e12) = e12
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e13) = e13
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e11,e10) = e10
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & op1(e11,e11) != e11
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) )
      | ( op1(e11,e11) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & op1(e11,e11) != e11
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) ) ) ),
    introduced(definition) ).

fof(c_0_113,plain,
    ( epred13_0
  <=> ( ( op1(e10,e10) = e10
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e11) = e11
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e12) = e12
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e13) = e13
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) ) ) ),
    introduced(definition) ).

fof(c_0_114,plain,
    ( ( op1(e10,e11) = e11
      | op1(e10,e10) = e10
      | ~ epred12_0 )
    & ( op1(e10,e10) != e10
      | op1(e10,e10) = e10
      | ~ epred12_0 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) != e11
      | op1(e10,e10) = e10
      | ~ epred12_0 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) != e12
      | op1(e10,e10) = e10
      | ~ epred12_0 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) != e13
      | op1(e10,e10) = e10
      | ~ epred12_0 )
    & ( op1(e10,e11) = e11
      | op1(e10,e10) != e10
      | ~ epred12_0 )
    & ( op1(e10,e10) != e10
      | op1(e10,e10) != e10
      | ~ epred12_0 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) != e11
      | op1(e10,e10) != e10
      | ~ epred12_0 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) != e12
      | op1(e10,e10) != e10
      | ~ epred12_0 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) != e13
      | op1(e10,e10) != e10
      | ~ epred12_0 )
    & ( op1(e10,e11) = e11
      | op1(e11,e11) != e10
      | op1(e11,e10) != e11
      | ~ epred12_0 )
    & ( op1(e10,e10) != e10
      | op1(e11,e11) != e10
      | op1(e11,e10) != e11
      | ~ epred12_0 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) != e11
      | op1(e11,e11) != e10
      | op1(e11,e10) != e11
      | ~ epred12_0 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) != e12
      | op1(e11,e11) != e10
      | op1(e11,e10) != e11
      | ~ epred12_0 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) != e13
      | op1(e11,e11) != e10
      | op1(e11,e10) != e11
      | ~ epred12_0 )
    & ( op1(e10,e11) = e11
      | op1(e12,e12) != e10
      | op1(e12,e10) != e12
      | ~ epred12_0 )
    & ( op1(e10,e10) != e10
      | op1(e12,e12) != e10
      | op1(e12,e10) != e12
      | ~ epred12_0 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) != e11
      | op1(e12,e12) != e10
      | op1(e12,e10) != e12
      | ~ epred12_0 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) != e12
      | op1(e12,e12) != e10
      | op1(e12,e10) != e12
      | ~ epred12_0 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) != e13
      | op1(e12,e12) != e10
      | op1(e12,e10) != e12
      | ~ epred12_0 )
    & ( op1(e10,e11) = e11
      | op1(e13,e13) != e10
      | op1(e13,e10) != e13
      | ~ epred12_0 )
    & ( op1(e10,e10) != e10
      | op1(e13,e13) != e10
      | op1(e13,e10) != e13
      | ~ epred12_0 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) != e11
      | op1(e13,e13) != e10
      | op1(e13,e10) != e13
      | ~ epred12_0 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) != e12
      | op1(e13,e13) != e10
      | op1(e13,e10) != e13
      | ~ epred12_0 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) != e13
      | op1(e13,e13) != e10
      | op1(e13,e10) != e13
      | ~ epred12_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])])]) ).

cnf(c_0_115,plain,
    ( op2(e20,e21) = e23
    | op2(e21,e21) = e23
    | op2(e22,e21) = e23
    | op2(e23,e21) = e23 ),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_116,plain,
    h2(e10) != e23,
    inference(rw,[status(thm)],[c_0_90,c_0_67]) ).

cnf(c_0_117,plain,
    op2(e23,e21) != e23,
    inference(rw,[status(thm)],[c_0_91,c_0_72]) ).

cnf(c_0_118,plain,
    op2(e20,e21) != op2(e20,e22),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_119,plain,
    op2(e20,e22) = e23,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_69]),c_0_93]),c_0_94]),c_0_95]) ).

cnf(c_0_120,plain,
    ( epred9_0
    | op2(e22,e22) != e22
    | ~ epred10_0 ),
    inference(cn,[status(thm)],[c_0_96]) ).

cnf(c_0_121,plain,
    ( epred8_0
    | op2(e22,e22) != e22
    | op2(e22,e22) != e22
    | ~ epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_122,plain,
    op2(e23,e21) != h2(e10),
    inference(rw,[status(thm)],[c_0_98,c_0_65]) ).

cnf(c_0_123,plain,
    ( op2(e23,e21) = e21
    | epred10_0
    | ~ epred11_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_72]),c_0_49]) ).

cnf(c_0_124,plain,
    op2(e23,e22) != h3(e10),
    inference(rw,[status(thm)],[c_0_100,c_0_69]) ).

cnf(c_0_125,plain,
    ( op2(e23,e22) = e22
    | epred11_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_20]),c_0_49]) ).

cnf(c_0_126,plain,
    ( epred7_0
    | op2(e21,e21) != e21
    | ~ epred8_0 ),
    inference(cn,[status(thm)],[c_0_102]) ).

cnf(c_0_127,plain,
    ( epred6_0
    | h2(e10) != e21
    | ~ epred7_0 ),
    inference(rw,[status(thm)],[c_0_103,c_0_65]) ).

cnf(c_0_128,plain,
    ~ epred6_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_72]),c_0_20])]),c_0_105]) ).

cnf(c_0_129,plain,
    op2(e22,e22) != op2(e22,e23),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_130,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_131,plain,
    op1(e13,e11) != e13,
    inference(rw,[status(thm)],[c_0_106,c_0_83]) ).

cnf(c_0_132,plain,
    op1(e11,e11) != op1(e11,e13),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_133,plain,
    ( op1(e11,e12) = e13
    | op1(e10,e12) = e13 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_107,c_0_108]),c_0_109]) ).

cnf(c_0_134,plain,
    op1(e11,e12) != e13,
    inference(rw,[status(thm)],[c_0_110,c_0_111]) ).

fof(c_0_135,plain,
    ( epred15_0
  <=> ( ( op1(e10,e10) = e10
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e11) = e11
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e12) = e12
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e13) = e13
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e11,e10) = e10
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & op1(e11,e11) != e11
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) )
      | ( op1(e11,e11) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & op1(e11,e11) != e11
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) )
      | ( op1(e11,e12) = e12
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & op1(e11,e11) != e11
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) )
      | ( op1(e11,e13) = e13
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & op1(e11,e11) != e11
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) ) ) ),
    introduced(definition) ).

fof(c_0_136,plain,
    ( epred14_0
   => ( epred13_0
      | ( op1(e11,e10) = e10
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & op1(e11,e11) != e11
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) )
      | ( op1(e11,e11) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & op1(e11,e11) != e11
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_112]),c_0_113]) ).

fof(c_0_137,plain,
    ( epred13_0
   => ( epred12_0
      | ( op1(e10,e12) = e12
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e13) = e13
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_113]),c_0_63]) ).

cnf(c_0_138,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e10) != e13
    | op1(e13,e13) != e10
    | op1(e13,e10) != e13
    | ~ epred12_0 ),
    inference(split_conjunct,[status(thm)],[c_0_114]) ).

cnf(c_0_139,plain,
    ( op2(e22,e21) = e23
    | op2(e20,e21) = e23 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_65]),c_0_116]),c_0_117]) ).

cnf(c_0_140,plain,
    op2(e20,e21) != e23,
    inference(rw,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_141,plain,
    ( op2(e22,e23) = e23
    | op2(e22,e22) = e22
    | epred9_0
    | ~ epred10_0 ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_142,plain,
    ( epred9_0
    | h3(e10) != e22
    | ~ epred10_0 ),
    inference(rw,[status(thm)],[c_0_120,c_0_69]) ).

cnf(c_0_143,plain,
    ( epred8_0
    | op2(e22,e22) != e22
    | ~ epred9_0 ),
    inference(cn,[status(thm)],[c_0_121]) ).

cnf(c_0_144,plain,
    ( epred10_0
    | h2(e10) != e21
    | ~ epred11_0 ),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_145,plain,
    ( epred11_0
    | h3(e10) != e22 ),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_146,plain,
    ( epred7_0
    | h2(e10) != e21
    | ~ epred8_0 ),
    inference(rw,[status(thm)],[c_0_126,c_0_65]) ).

cnf(c_0_147,plain,
    ( h2(e10) != e21
    | ~ epred7_0 ),
    inference(sr,[status(thm)],[c_0_127,c_0_128]) ).

cnf(c_0_148,plain,
    op2(e22,e23) != h3(e10),
    inference(rw,[status(thm)],[c_0_129,c_0_69]) ).

cnf(c_0_149,plain,
    op1(e10,e11) != op1(e10,e13),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_150,plain,
    ( op1(e12,e11) = e13
    | op1(e11,e11) = e13
    | op1(e10,e11) = e13 ),
    inference(sr,[status(thm)],[c_0_130,c_0_131]) ).

cnf(c_0_151,plain,
    op1(e11,e11) != e13,
    inference(rw,[status(thm)],[c_0_132,c_0_111]) ).

cnf(c_0_152,plain,
    op1(e10,e11) != op1(e10,e12),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_153,plain,
    op1(e10,e12) = e13,
    inference(sr,[status(thm)],[c_0_133,c_0_134]) ).

cnf(c_0_154,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

fof(c_0_155,plain,
    ( epred15_0
   => ( epred14_0
      | ( op1(e11,e12) = e12
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & op1(e11,e11) != e11
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) )
      | ( op1(e11,e13) = e13
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & op1(e11,e11) != e11
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_135]),c_0_112]) ).

fof(c_0_156,plain,
    ( ( op1(e11,e11) = e11
      | op1(e11,e10) = e10
      | epred13_0
      | ~ epred14_0 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) != e10
      | op1(e11,e10) = e10
      | epred13_0
      | ~ epred14_0 )
    & ( op1(e11,e11) != e11
      | op1(e11,e10) = e10
      | epred13_0
      | ~ epred14_0 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) != e12
      | op1(e11,e10) = e10
      | epred13_0
      | ~ epred14_0 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) != e13
      | op1(e11,e10) = e10
      | epred13_0
      | ~ epred14_0 )
    & ( op1(e11,e11) = e11
      | op1(e10,e10) != e11
      | op1(e10,e11) != e10
      | epred13_0
      | ~ epred14_0 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) != e10
      | op1(e10,e10) != e11
      | op1(e10,e11) != e10
      | epred13_0
      | ~ epred14_0 )
    & ( op1(e11,e11) != e11
      | op1(e10,e10) != e11
      | op1(e10,e11) != e10
      | epred13_0
      | ~ epred14_0 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) != e12
      | op1(e10,e10) != e11
      | op1(e10,e11) != e10
      | epred13_0
      | ~ epred14_0 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) != e13
      | op1(e10,e10) != e11
      | op1(e10,e11) != e10
      | epred13_0
      | ~ epred14_0 )
    & ( op1(e11,e11) = e11
      | op1(e11,e11) != e11
      | epred13_0
      | ~ epred14_0 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) != e10
      | op1(e11,e11) != e11
      | epred13_0
      | ~ epred14_0 )
    & ( op1(e11,e11) != e11
      | op1(e11,e11) != e11
      | epred13_0
      | ~ epred14_0 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) != e12
      | op1(e11,e11) != e11
      | epred13_0
      | ~ epred14_0 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) != e13
      | op1(e11,e11) != e11
      | epred13_0
      | ~ epred14_0 )
    & ( op1(e11,e11) = e11
      | op1(e12,e12) != e11
      | op1(e12,e11) != e12
      | epred13_0
      | ~ epred14_0 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) != e10
      | op1(e12,e12) != e11
      | op1(e12,e11) != e12
      | epred13_0
      | ~ epred14_0 )
    & ( op1(e11,e11) != e11
      | op1(e12,e12) != e11
      | op1(e12,e11) != e12
      | epred13_0
      | ~ epred14_0 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) != e12
      | op1(e12,e12) != e11
      | op1(e12,e11) != e12
      | epred13_0
      | ~ epred14_0 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) != e13
      | op1(e12,e12) != e11
      | op1(e12,e11) != e12
      | epred13_0
      | ~ epred14_0 )
    & ( op1(e11,e11) = e11
      | op1(e13,e13) != e11
      | op1(e13,e11) != e13
      | epred13_0
      | ~ epred14_0 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) != e10
      | op1(e13,e13) != e11
      | op1(e13,e11) != e13
      | epred13_0
      | ~ epred14_0 )
    & ( op1(e11,e11) != e11
      | op1(e13,e13) != e11
      | op1(e13,e11) != e13
      | epred13_0
      | ~ epred14_0 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) != e12
      | op1(e13,e13) != e11
      | op1(e13,e11) != e13
      | epred13_0
      | ~ epred14_0 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) != e13
      | op1(e13,e13) != e11
      | op1(e13,e11) != e13
      | epred13_0
      | ~ epred14_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_136])])]) ).

fof(c_0_157,plain,
    ( ( op1(e10,e13) = e13
      | op1(e10,e12) = e12
      | epred12_0
      | ~ epred13_0 )
    & ( op1(e10,e10) != e10
      | op1(e10,e12) = e12
      | epred12_0
      | ~ epred13_0 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) != e11
      | op1(e10,e12) = e12
      | epred12_0
      | ~ epred13_0 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) != e12
      | op1(e10,e12) = e12
      | epred12_0
      | ~ epred13_0 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) != e13
      | op1(e10,e12) = e12
      | epred12_0
      | ~ epred13_0 )
    & ( op1(e10,e13) = e13
      | op1(e10,e10) != e10
      | epred12_0
      | ~ epred13_0 )
    & ( op1(e10,e10) != e10
      | op1(e10,e10) != e10
      | epred12_0
      | ~ epred13_0 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) != e11
      | op1(e10,e10) != e10
      | epred12_0
      | ~ epred13_0 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) != e12
      | op1(e10,e10) != e10
      | epred12_0
      | ~ epred13_0 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) != e13
      | op1(e10,e10) != e10
      | epred12_0
      | ~ epred13_0 )
    & ( op1(e10,e13) = e13
      | op1(e11,e11) != e10
      | op1(e11,e10) != e11
      | epred12_0
      | ~ epred13_0 )
    & ( op1(e10,e10) != e10
      | op1(e11,e11) != e10
      | op1(e11,e10) != e11
      | epred12_0
      | ~ epred13_0 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) != e11
      | op1(e11,e11) != e10
      | op1(e11,e10) != e11
      | epred12_0
      | ~ epred13_0 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) != e12
      | op1(e11,e11) != e10
      | op1(e11,e10) != e11
      | epred12_0
      | ~ epred13_0 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) != e13
      | op1(e11,e11) != e10
      | op1(e11,e10) != e11
      | epred12_0
      | ~ epred13_0 )
    & ( op1(e10,e13) = e13
      | op1(e12,e12) != e10
      | op1(e12,e10) != e12
      | epred12_0
      | ~ epred13_0 )
    & ( op1(e10,e10) != e10
      | op1(e12,e12) != e10
      | op1(e12,e10) != e12
      | epred12_0
      | ~ epred13_0 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) != e11
      | op1(e12,e12) != e10
      | op1(e12,e10) != e12
      | epred12_0
      | ~ epred13_0 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) != e12
      | op1(e12,e12) != e10
      | op1(e12,e10) != e12
      | epred12_0
      | ~ epred13_0 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) != e13
      | op1(e12,e12) != e10
      | op1(e12,e10) != e12
      | epred12_0
      | ~ epred13_0 )
    & ( op1(e10,e13) = e13
      | op1(e13,e13) != e10
      | op1(e13,e10) != e13
      | epred12_0
      | ~ epred13_0 )
    & ( op1(e10,e10) != e10
      | op1(e13,e13) != e10
      | op1(e13,e10) != e13
      | epred12_0
      | ~ epred13_0 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) != e11
      | op1(e13,e13) != e10
      | op1(e13,e10) != e13
      | epred12_0
      | ~ epred13_0 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) != e12
      | op1(e13,e13) != e10
      | op1(e13,e10) != e13
      | epred12_0
      | ~ epred13_0 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) != e13
      | op1(e13,e13) != e10
      | op1(e13,e10) != e13
      | epred12_0
      | ~ epred13_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_137])])]) ).

cnf(c_0_158,plain,
    op1(e10,e12) != op1(e10,e13),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_159,plain,
    ( op1(e13,e10) != e13
    | op1(e13,e13) != e10
    | ~ epred12_0 ),
    inference(cn,[status(thm)],[c_0_138]) ).

cnf(c_0_160,plain,
    op2(e22,e20) != op2(e22,e22),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_161,plain,
    op2(e22,e21) = e23,
    inference(sr,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_162,plain,
    ( op2(e22,e21) = e21
    | op2(e22,e20) = e20
    | epred8_0
    | ~ epred9_0 ),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_163,plain,
    ( op2(e22,e23) = e23
    | epred9_0
    | ~ epred10_0 ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_69]),c_0_142]) ).

cnf(c_0_164,plain,
    ( epred8_0
    | h3(e10) != e22
    | ~ epred9_0 ),
    inference(rw,[status(thm)],[c_0_143,c_0_69]) ).

cnf(c_0_165,plain,
    ( epred9_0
    | h3(e10) != e22
    | h2(e10) != e21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_144]),c_0_145]) ).

cnf(c_0_166,plain,
    ( h2(e10) != e21
    | ~ epred8_0 ),
    inference(csr,[status(thm)],[c_0_146,c_0_147]) ).

cnf(c_0_167,plain,
    ( op2(e22,e22) = e20
    | op2(e22,e22) = e21
    | op2(e22,e22) = e22
    | op2(e22,e22) = e23 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_168,plain,
    h3(e10) != e21,
    inference(rw,[status(thm)],[c_0_148,c_0_46]) ).

cnf(c_0_169,plain,
    ( op1(e10,e11) = e10
    | op1(e10,e11) = e11
    | op1(e10,e11) = e12
    | op1(e10,e11) = e13 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_170,plain,
    op1(e10,e11) != e12,
    inference(rw,[status(thm)],[c_0_149,c_0_59]) ).

cnf(c_0_171,plain,
    ( op1(e10,e11) = e12
    | op1(e11,e11) = e12
    | op1(e12,e11) = e12
    | op1(e13,e11) = e12 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_172,plain,
    ( op1(e10,e11) = e13
    | op1(e12,e11) = e13 ),
    inference(sr,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_173,plain,
    op1(e10,e11) != e13,
    inference(rw,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_174,plain,
    ( op1(e10,e11) = e10
    | op1(e11,e11) = e10
    | op1(e12,e11) = e10
    | op1(e13,e11) = e10 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_175,plain,
    op1(e13,e11) != e10,
    inference(rw,[status(thm)],[c_0_154,c_0_42]) ).

fof(c_0_176,plain,
    ( ( op1(e11,e13) = e13
      | op1(e11,e12) = e12
      | epred14_0
      | ~ epred15_0 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) != e10
      | op1(e11,e12) = e12
      | epred14_0
      | ~ epred15_0 )
    & ( op1(e11,e11) != e11
      | op1(e11,e12) = e12
      | epred14_0
      | ~ epred15_0 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) != e12
      | op1(e11,e12) = e12
      | epred14_0
      | ~ epred15_0 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) != e13
      | op1(e11,e12) = e12
      | epred14_0
      | ~ epred15_0 )
    & ( op1(e11,e13) = e13
      | op1(e10,e10) != e11
      | op1(e10,e11) != e10
      | epred14_0
      | ~ epred15_0 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) != e10
      | op1(e10,e10) != e11
      | op1(e10,e11) != e10
      | epred14_0
      | ~ epred15_0 )
    & ( op1(e11,e11) != e11
      | op1(e10,e10) != e11
      | op1(e10,e11) != e10
      | epred14_0
      | ~ epred15_0 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) != e12
      | op1(e10,e10) != e11
      | op1(e10,e11) != e10
      | epred14_0
      | ~ epred15_0 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) != e13
      | op1(e10,e10) != e11
      | op1(e10,e11) != e10
      | epred14_0
      | ~ epred15_0 )
    & ( op1(e11,e13) = e13
      | op1(e11,e11) != e11
      | epred14_0
      | ~ epred15_0 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) != e10
      | op1(e11,e11) != e11
      | epred14_0
      | ~ epred15_0 )
    & ( op1(e11,e11) != e11
      | op1(e11,e11) != e11
      | epred14_0
      | ~ epred15_0 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) != e12
      | op1(e11,e11) != e11
      | epred14_0
      | ~ epred15_0 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) != e13
      | op1(e11,e11) != e11
      | epred14_0
      | ~ epred15_0 )
    & ( op1(e11,e13) = e13
      | op1(e12,e12) != e11
      | op1(e12,e11) != e12
      | epred14_0
      | ~ epred15_0 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) != e10
      | op1(e12,e12) != e11
      | op1(e12,e11) != e12
      | epred14_0
      | ~ epred15_0 )
    & ( op1(e11,e11) != e11
      | op1(e12,e12) != e11
      | op1(e12,e11) != e12
      | epred14_0
      | ~ epred15_0 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) != e12
      | op1(e12,e12) != e11
      | op1(e12,e11) != e12
      | epred14_0
      | ~ epred15_0 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) != e13
      | op1(e12,e12) != e11
      | op1(e12,e11) != e12
      | epred14_0
      | ~ epred15_0 )
    & ( op1(e11,e13) = e13
      | op1(e13,e13) != e11
      | op1(e13,e11) != e13
      | epred14_0
      | ~ epred15_0 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) != e10
      | op1(e13,e13) != e11
      | op1(e13,e11) != e13
      | epred14_0
      | ~ epred15_0 )
    & ( op1(e11,e11) != e11
      | op1(e13,e13) != e11
      | op1(e13,e11) != e13
      | epred14_0
      | ~ epred15_0 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) != e12
      | op1(e13,e13) != e11
      | op1(e13,e11) != e13
      | epred14_0
      | ~ epred15_0 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) != e13
      | op1(e13,e13) != e11
      | op1(e13,e11) != e13
      | epred14_0
      | ~ epred15_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_155])])]) ).

cnf(c_0_177,plain,
    ( epred13_0
    | op1(e10,e10) != e11
    | op1(e10,e11) != e10
    | op1(e10,e10) != e11
    | op1(e10,e11) != e10
    | ~ epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_156]) ).

cnf(c_0_178,plain,
    ( op1(e10,e13) = e13
    | op1(e10,e12) = e12
    | epred12_0
    | ~ epred13_0 ),
    inference(split_conjunct,[status(thm)],[c_0_157]) ).

cnf(c_0_179,plain,
    op1(e10,e12) != e12,
    inference(rw,[status(thm)],[c_0_158,c_0_59]) ).

cnf(c_0_180,plain,
    ~ epred12_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_83]),c_0_42])]) ).

cnf(c_0_181,plain,
    ( op2(e23,e20) = e21
    | op2(e23,e21) = e21
    | op2(e23,e22) = e21
    | op2(e23,e23) = e21 ),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_182,plain,
    e20 != e21,
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_183,plain,
    op2(e22,e20) != h3(e10),
    inference(rw,[status(thm)],[c_0_160,c_0_69]) ).

cnf(c_0_184,plain,
    ( op2(e22,e20) = e20
    | epred8_0
    | ~ epred9_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_48]) ).

cnf(c_0_185,plain,
    ( epred9_0
    | ~ epred10_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_163]),c_0_48]) ).

cnf(c_0_186,plain,
    ( h3(e10) != e22
    | h2(e10) != e21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_166]) ).

cnf(c_0_187,plain,
    ( h3(e10) = e22
    | h3(e10) = e20 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_69]),c_0_69]),c_0_69]),c_0_69]),c_0_168]),c_0_94]) ).

cnf(c_0_188,plain,
    op1(e12,e12) != op1(e12,e13),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_189,plain,
    op1(e13,e12) != op1(e13,e13),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_190,plain,
    ( op1(e10,e11) = e13
    | op1(e10,e11) = e11
    | op1(e10,e11) = e10 ),
    inference(sr,[status(thm)],[c_0_169,c_0_170]) ).

cnf(c_0_191,plain,
    ( epred13_0
    | op1(e11,e11) != e11
    | op1(e11,e11) != e11
    | ~ epred14_0 ),
    inference(split_conjunct,[status(thm)],[c_0_156]) ).

cnf(c_0_192,plain,
    ( op1(e13,e11) = e12
    | op1(e12,e11) = e12
    | op1(e11,e11) = e12 ),
    inference(sr,[status(thm)],[c_0_171,c_0_170]) ).

cnf(c_0_193,plain,
    op1(e12,e11) = e13,
    inference(sr,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_194,plain,
    ( op1(e12,e11) = e10
    | op1(e11,e11) = e10
    | op1(e10,e11) = e10 ),
    inference(sr,[status(thm)],[c_0_174,c_0_175]) ).

cnf(c_0_195,plain,
    ( epred14_0
    | op1(e10,e10) != e11
    | op1(e10,e11) != e10
    | op1(e10,e10) != e11
    | op1(e10,e11) != e10
    | ~ epred15_0 ),
    inference(split_conjunct,[status(thm)],[c_0_176]) ).

cnf(c_0_196,plain,
    ( epred13_0
    | op1(e10,e10) != e11
    | op1(e10,e11) != e10
    | ~ epred14_0 ),
    inference(cn,[status(thm)],[c_0_177]) ).

cnf(c_0_197,plain,
    ~ epred13_0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_59]),c_0_179]),c_0_86]),c_0_180]) ).

cnf(c_0_198,plain,
    ( op1(e10,e11) = e10
    | op1(e10,e10) != e11 ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_199,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_200,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e10) != e13 ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_201,plain,
    e10 != e12,
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_202,plain,
    ( op2(e23,e22) = e21
    | op2(e23,e21) = e21 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_72]),c_0_20]),c_0_48]),c_0_182]) ).

cnf(c_0_203,plain,
    e21 != e22,
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_204,plain,
    ( epred8_0
    | h3(e10) != e20
    | ~ epred9_0 ),
    inference(spm,[status(thm)],[c_0_183,c_0_184]) ).

cnf(c_0_205,plain,
    ( epred9_0
    | h2(e10) != e21
    | ~ epred11_0 ),
    inference(spm,[status(thm)],[c_0_185,c_0_144]) ).

cnf(c_0_206,plain,
    ( h3(e10) = e20
    | h2(e10) != e21 ),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_207,plain,
    op2(e23,e22) != op2(e23,e23),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_208,plain,
    ( epred17_0
  <=> ( ( op1(e10,e10) = e10
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e11) = e11
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e12) = e12
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e13) = e13
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e11,e10) = e10
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & op1(e11,e11) != e11
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) )
      | ( op1(e11,e11) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & op1(e11,e11) != e11
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) )
      | ( op1(e11,e12) = e12
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & op1(e11,e11) != e11
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) )
      | ( op1(e11,e13) = e13
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & op1(e11,e11) != e11
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) )
      | ( op1(e12,e10) = e10
        & ( op1(e10,e10) != e12
          | op1(e10,e12) != e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) != e11 )
        & op1(e12,e12) != e12
        & ( op1(e13,e13) != e12
          | op1(e13,e12) != e13 ) )
      | ( op1(e12,e11) = e11
        & ( op1(e10,e10) != e12
          | op1(e10,e12) != e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) != e11 )
        & op1(e12,e12) != e12
        & ( op1(e13,e13) != e12
          | op1(e13,e12) != e13 ) )
      | ( op1(e12,e12) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) != e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) != e11 )
        & op1(e12,e12) != e12
        & ( op1(e13,e13) != e12
          | op1(e13,e12) != e13 ) )
      | ( op1(e12,e13) = e13
        & ( op1(e10,e10) != e12
          | op1(e10,e12) != e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) != e11 )
        & op1(e12,e12) != e12
        & ( op1(e13,e13) != e12
          | op1(e13,e12) != e13 ) ) ) ),
    introduced(definition) ).

fof(c_0_209,plain,
    ( epred16_0
  <=> ( ( op1(e10,e10) = e10
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e11) = e11
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e12) = e12
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e10,e13) = e13
        & op1(e10,e10) != e10
        & ( op1(e11,e11) != e10
          | op1(e11,e10) != e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) != e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) != e13 ) )
      | ( op1(e11,e10) = e10
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & op1(e11,e11) != e11
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) )
      | ( op1(e11,e11) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & op1(e11,e11) != e11
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) )
      | ( op1(e11,e12) = e12
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & op1(e11,e11) != e11
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) )
      | ( op1(e11,e13) = e13
        & ( op1(e10,e10) != e11
          | op1(e10,e11) != e10 )
        & op1(e11,e11) != e11
        & ( op1(e12,e12) != e11
          | op1(e12,e11) != e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) != e13 ) )
      | ( op1(e12,e10) = e10
        & ( op1(e10,e10) != e12
          | op1(e10,e12) != e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) != e11 )
        & op1(e12,e12) != e12
        & ( op1(e13,e13) != e12
          | op1(e13,e12) != e13 ) )
      | ( op1(e12,e11) = e11
        & ( op1(e10,e10) != e12
          | op1(e10,e12) != e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) != e11 )
        & op1(e12,e12) != e12
        & ( op1(e13,e13) != e12
          | op1(e13,e12) != e13 ) ) ) ),
    introduced(definition) ).

cnf(c_0_210,plain,
    ( op1(e10,e12) = e11
    | op1(e11,e12) = e11
    | op1(e12,e12) = e11
    | op1(e13,e12) = e11 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_211,plain,
    op1(e12,e12) != e11,
    inference(rw,[status(thm)],[c_0_188,c_0_85]) ).

cnf(c_0_212,plain,
    ( op1(e10,e12) = e10
    | op1(e11,e12) = e10
    | op1(e12,e12) = e10
    | op1(e13,e12) = e10 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_213,plain,
    op1(e13,e12) != e10,
    inference(rw,[status(thm)],[c_0_189,c_0_42]) ).

cnf(c_0_214,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_215,plain,
    ( op1(e10,e11) = e10
    | op1(e10,e11) = e11 ),
    inference(sr,[status(thm)],[c_0_190,c_0_173]) ).

cnf(c_0_216,plain,
    ( epred14_0
    | op1(e11,e11) != e11
    | op1(e11,e11) != e11
    | ~ epred15_0 ),
    inference(split_conjunct,[status(thm)],[c_0_176]) ).

cnf(c_0_217,plain,
    ( epred13_0
    | op1(e11,e11) != e11
    | ~ epred14_0 ),
    inference(cn,[status(thm)],[c_0_191]) ).

cnf(c_0_218,plain,
    ( op1(e11,e11) = e12
    | op1(e13,e11) = e12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_192,c_0_193]),c_0_86]) ).

cnf(c_0_219,plain,
    ( op1(e10,e11) = e10
    | op1(e11,e11) = e10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_194,c_0_193]),c_0_88]) ).

cnf(c_0_220,plain,
    ( epred14_0
    | op1(e10,e10) != e11
    | op1(e10,e11) != e10
    | ~ epred15_0 ),
    inference(cn,[status(thm)],[c_0_195]) ).

cnf(c_0_221,plain,
    ( op1(e10,e10) != e11
    | ~ epred14_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_196,c_0_197]),c_0_198]) ).

cnf(c_0_222,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e10) = e11
    | op1(e10,e10) = e12
    | op1(e10,e10) = e13 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_223,plain,
    op1(e10,e10) != e12,
    inference(rw,[status(thm)],[c_0_199,c_0_59]) ).

cnf(c_0_224,plain,
    op1(e10,e10) != e13,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_59]),c_0_201]) ).

cnf(c_0_225,plain,
    ( op2(e21,e22) = e21
    | op2(e21,e21) != e22 ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_226,plain,
    op2(e22,e20) != op2(e22,e23),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_227,plain,
    ( op2(e20,e20) = e20
    | op2(e21,e21) = e21
    | op2(e22,e22) = e22
    | op2(e23,e23) = e23 ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_228,plain,
    h1(e10) = op2(e20,e20),
    inference(split_conjunct,[status(thm)],[ax14]) ).

cnf(c_0_229,plain,
    ( op2(e23,e21) = e21
    | epred11_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_202]),c_0_203]) ).

cnf(c_0_230,plain,
    ( h2(e10) != e21
    | ~ epred11_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_206]),c_0_166]) ).

cnf(c_0_231,plain,
    ( op2(e20,e22) = e20
    | op2(e21,e22) = e20
    | op2(e22,e22) = e20
    | op2(e23,e22) = e20 ),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_232,plain,
    op2(e23,e22) != e20,
    inference(rw,[status(thm)],[c_0_207,c_0_20]) ).

cnf(c_0_233,plain,
    op2(e21,e21) != op2(e21,e22),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_234,plain,
    ( epred17_0
   => ( epred16_0
      | ( op1(e12,e12) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) != e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) != e11 )
        & op1(e12,e12) != e12
        & ( op1(e13,e13) != e12
          | op1(e13,e12) != e13 ) )
      | ( op1(e12,e13) = e13
        & ( op1(e10,e10) != e12
          | op1(e10,e12) != e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) != e11 )
        & op1(e12,e12) != e12
        & ( op1(e13,e13) != e12
          | op1(e13,e12) != e13 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_208]),c_0_209]) ).

cnf(c_0_235,plain,
    ( op1(e13,e12) = e11
    | op1(e11,e12) = e11
    | op1(e10,e12) = e11 ),
    inference(sr,[status(thm)],[c_0_210,c_0_211]) ).

cnf(c_0_236,plain,
    ( op1(e12,e12) = e10
    | op1(e11,e12) = e10
    | op1(e10,e12) = e10 ),
    inference(sr,[status(thm)],[c_0_212,c_0_213]) ).

cnf(c_0_237,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e11) = e11
    | op1(e12,e12) = e12
    | op1(e13,e13) = e13 ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_238,plain,
    op1(e10,e10) != op1(e10,e11),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_239,plain,
    ( op1(e10,e11) = e10
    | op1(e13,e11) != e11 ),
    inference(spm,[status(thm)],[c_0_214,c_0_215]) ).

cnf(c_0_240,plain,
    op1(e12,e10) != op1(e12,e13),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_241,plain,
    ( epred14_0
    | op1(e11,e11) != e11
    | ~ epred15_0 ),
    inference(cn,[status(thm)],[c_0_216]) ).

cnf(c_0_242,plain,
    ( op1(e11,e11) != e11
    | ~ epred14_0 ),
    inference(sr,[status(thm)],[c_0_217,c_0_197]) ).

cnf(c_0_243,plain,
    ( op1(e11,e11) = e10
    | op1(e11,e11) = e11
    | op1(e11,e11) = e12
    | op1(e11,e11) = e13 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_244,plain,
    ( op1(e10,e11) = e10
    | op1(e13,e11) = e12 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_201]) ).

cnf(c_0_245,plain,
    ( op1(e10,e10) != e11
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_220,c_0_198]),c_0_221]) ).

cnf(c_0_246,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e10) = e10 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_222,c_0_223]),c_0_224]) ).

cnf(c_0_247,plain,
    op2(e21,e20) != op2(e21,e22),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_248,plain,
    ( op2(e21,e22) = e21
    | h2(e10) != e22 ),
    inference(rw,[status(thm)],[c_0_225,c_0_65]) ).

cnf(c_0_249,plain,
    ( op2(e20,e20) = e21
    | op2(e21,e20) = e21
    | op2(e22,e20) = e21
    | op2(e23,e20) = e21 ),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_250,plain,
    op2(e22,e20) != e21,
    inference(rw,[status(thm)],[c_0_226,c_0_46]) ).

cnf(c_0_251,plain,
    ( op2(e21,e21) = e20
    | op2(e21,e21) = e21
    | op2(e21,e21) = e22
    | op2(e21,e21) = e23 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_252,plain,
    ( h3(e10) = e22
    | h2(e10) = e21
    | h1(e10) = e20 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_228]),c_0_65]),c_0_69]),c_0_20]),c_0_49]) ).

cnf(c_0_253,plain,
    h2(e10) != e21,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_229]),c_0_230]) ).

cnf(c_0_254,plain,
    ( op2(e21,e22) = e20
    | h3(e10) = e20 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_231,c_0_119]),c_0_69]),c_0_49]),c_0_232]) ).

cnf(c_0_255,plain,
    op2(e21,e22) != h2(e10),
    inference(rw,[status(thm)],[c_0_233,c_0_65]) ).

fof(c_0_256,plain,
    ( ( op1(e12,e13) = e13
      | op1(e12,e12) = e12
      | epred16_0
      | ~ epred17_0 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) != e10
      | op1(e12,e12) = e12
      | epred16_0
      | ~ epred17_0 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) != e11
      | op1(e12,e12) = e12
      | epred16_0
      | ~ epred17_0 )
    & ( op1(e12,e12) != e12
      | op1(e12,e12) = e12
      | epred16_0
      | ~ epred17_0 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) != e13
      | op1(e12,e12) = e12
      | epred16_0
      | ~ epred17_0 )
    & ( op1(e12,e13) = e13
      | op1(e10,e10) != e12
      | op1(e10,e12) != e10
      | epred16_0
      | ~ epred17_0 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) != e10
      | op1(e10,e10) != e12
      | op1(e10,e12) != e10
      | epred16_0
      | ~ epred17_0 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) != e11
      | op1(e10,e10) != e12
      | op1(e10,e12) != e10
      | epred16_0
      | ~ epred17_0 )
    & ( op1(e12,e12) != e12
      | op1(e10,e10) != e12
      | op1(e10,e12) != e10
      | epred16_0
      | ~ epred17_0 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) != e13
      | op1(e10,e10) != e12
      | op1(e10,e12) != e10
      | epred16_0
      | ~ epred17_0 )
    & ( op1(e12,e13) = e13
      | op1(e11,e11) != e12
      | op1(e11,e12) != e11
      | epred16_0
      | ~ epred17_0 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) != e10
      | op1(e11,e11) != e12
      | op1(e11,e12) != e11
      | epred16_0
      | ~ epred17_0 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) != e11
      | op1(e11,e11) != e12
      | op1(e11,e12) != e11
      | epred16_0
      | ~ epred17_0 )
    & ( op1(e12,e12) != e12
      | op1(e11,e11) != e12
      | op1(e11,e12) != e11
      | epred16_0
      | ~ epred17_0 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) != e13
      | op1(e11,e11) != e12
      | op1(e11,e12) != e11
      | epred16_0
      | ~ epred17_0 )
    & ( op1(e12,e13) = e13
      | op1(e12,e12) != e12
      | epred16_0
      | ~ epred17_0 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) != e10
      | op1(e12,e12) != e12
      | epred16_0
      | ~ epred17_0 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) != e11
      | op1(e12,e12) != e12
      | epred16_0
      | ~ epred17_0 )
    & ( op1(e12,e12) != e12
      | op1(e12,e12) != e12
      | epred16_0
      | ~ epred17_0 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) != e13
      | op1(e12,e12) != e12
      | epred16_0
      | ~ epred17_0 )
    & ( op1(e12,e13) = e13
      | op1(e13,e13) != e12
      | op1(e13,e12) != e13
      | epred16_0
      | ~ epred17_0 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) != e10
      | op1(e13,e13) != e12
      | op1(e13,e12) != e13
      | epred16_0
      | ~ epred17_0 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) != e11
      | op1(e13,e13) != e12
      | op1(e13,e12) != e13
      | epred16_0
      | ~ epred17_0 )
    & ( op1(e12,e12) != e12
      | op1(e13,e13) != e12
      | op1(e13,e12) != e13
      | epred16_0
      | ~ epred17_0 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) != e13
      | op1(e13,e13) != e12
      | op1(e13,e12) != e13
      | epred16_0
      | ~ epred17_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_234])])]) ).

fof(c_0_257,plain,
    ( epred18_0
   => ( epred17_0
      | ( op1(e13,e10) = e10
        & ( op1(e10,e10) != e13
          | op1(e10,e13) != e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) != e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) != e12 )
        & op1(e13,e13) != e13 )
      | ( op1(e13,e11) = e11
        & ( op1(e10,e10) != e13
          | op1(e10,e13) != e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) != e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) != e12 )
        & op1(e13,e13) != e13 ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_18]),c_0_208]) ).

cnf(c_0_258,plain,
    ( op1(e11,e12) = e11
    | op1(e13,e12) = e11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_153]),c_0_87]) ).

cnf(c_0_259,plain,
    ( op1(e11,e12) = e10
    | op1(e12,e12) = e10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_153]),c_0_88]) ).

cnf(c_0_260,plain,
    e10 != e11,
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_261,plain,
    op1(e11,e11) != op1(e13,e11),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_262,plain,
    ( op1(e12,e12) = e12
    | op1(e11,e11) = e11
    | op1(e10,e10) = e10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_42]),c_0_88]) ).

cnf(c_0_263,plain,
    ( op1(e10,e10) != e10
    | op1(e13,e11) != e11 ),
    inference(spm,[status(thm)],[c_0_238,c_0_239]) ).

cnf(c_0_264,plain,
    ( op1(e13,e10) = e11
    | op1(e13,e11) = e11
    | op1(e13,e12) = e11
    | op1(e13,e13) = e11 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_265,plain,
    op1(e11,e10) != op1(e11,e12),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_266,plain,
    ( op1(e10,e10) = e11
    | op1(e11,e10) = e11
    | op1(e12,e10) = e11
    | op1(e13,e10) = e11 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_267,plain,
    op1(e12,e10) != e11,
    inference(rw,[status(thm)],[c_0_240,c_0_85]) ).

cnf(c_0_268,plain,
    ( op1(e11,e11) != e11
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[c_0_241,c_0_242]) ).

cnf(c_0_269,plain,
    ( op1(e11,e11) = e12
    | op1(e11,e11) = e11
    | op1(e11,e11) = e10 ),
    inference(sr,[status(thm)],[c_0_243,c_0_151]) ).

cnf(c_0_270,plain,
    ( op1(e13,e11) = e12
    | op1(e10,e10) != e10 ),
    inference(spm,[status(thm)],[c_0_238,c_0_244]) ).

cnf(c_0_271,plain,
    ( op1(e10,e10) = e10
    | ~ epred15_0 ),
    inference(spm,[status(thm)],[c_0_245,c_0_246]) ).

cnf(c_0_272,plain,
    ( op2(e21,e20) != e21
    | h2(e10) != e22 ),
    inference(spm,[status(thm)],[c_0_247,c_0_248]) ).

cnf(c_0_273,plain,
    ( op2(e21,e20) = e21
    | h1(e10) = e21 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_228]),c_0_72]),c_0_250]),c_0_48]) ).

cnf(c_0_274,plain,
    ( h2(e10) = e22
    | h2(e10) = e21
    | h2(e10) = e20 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_251,c_0_65]),c_0_65]),c_0_65]),c_0_65]),c_0_116]) ).

cnf(c_0_275,plain,
    ( h3(e10) = e22
    | h1(e10) = e20 ),
    inference(sr,[status(thm)],[c_0_252,c_0_253]) ).

cnf(c_0_276,plain,
    ( h3(e10) = e20
    | h2(e10) != e22 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_254]),c_0_182]) ).

cnf(c_0_277,plain,
    e20 != e22,
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_278,plain,
    ( h3(e10) = e20
    | h2(e10) != e20 ),
    inference(spm,[status(thm)],[c_0_255,c_0_254]) ).

fof(c_0_279,plain,
    ( epred1_0
  <=> ( 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 ) ) ),
    introduced(definition) ).

fof(c_0_280,plain,
    ( epred2_0
  <=> ( 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 ) ) ),
    introduced(definition) ).

fof(c_0_281,plain,
    ( epred3_0
  <=> ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
      & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
      & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
      & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
      & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
      & h3(op1(e11,e11)) = op2(h3(e11),h3(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 ) ) ),
    introduced(definition) ).

fof(c_0_282,plain,
    ( epred4_0
  <=> ( 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 ) ) ),
    introduced(definition) ).

cnf(c_0_283,plain,
    ( epred16_0
    | op1(e12,e12) != e12
    | op1(e12,e12) != e12
    | ~ epred17_0 ),
    inference(split_conjunct,[status(thm)],[c_0_256]) ).

fof(c_0_284,plain,
    ( ( op1(e13,e11) = e11
      | op1(e13,e10) = e10
      | epred17_0
      | ~ epred18_0 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) != e10
      | op1(e13,e10) = e10
      | epred17_0
      | ~ epred18_0 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) != e11
      | op1(e13,e10) = e10
      | epred17_0
      | ~ epred18_0 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) != e12
      | op1(e13,e10) = e10
      | epred17_0
      | ~ epred18_0 )
    & ( op1(e13,e13) != e13
      | op1(e13,e10) = e10
      | epred17_0
      | ~ epred18_0 )
    & ( op1(e13,e11) = e11
      | op1(e10,e10) != e13
      | op1(e10,e13) != e10
      | epred17_0
      | ~ epred18_0 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) != e10
      | op1(e10,e10) != e13
      | op1(e10,e13) != e10
      | epred17_0
      | ~ epred18_0 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) != e11
      | op1(e10,e10) != e13
      | op1(e10,e13) != e10
      | epred17_0
      | ~ epred18_0 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) != e12
      | op1(e10,e10) != e13
      | op1(e10,e13) != e10
      | epred17_0
      | ~ epred18_0 )
    & ( op1(e13,e13) != e13
      | op1(e10,e10) != e13
      | op1(e10,e13) != e10
      | epred17_0
      | ~ epred18_0 )
    & ( op1(e13,e11) = e11
      | op1(e11,e11) != e13
      | op1(e11,e13) != e11
      | epred17_0
      | ~ epred18_0 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) != e10
      | op1(e11,e11) != e13
      | op1(e11,e13) != e11
      | epred17_0
      | ~ epred18_0 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) != e11
      | op1(e11,e11) != e13
      | op1(e11,e13) != e11
      | epred17_0
      | ~ epred18_0 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) != e12
      | op1(e11,e11) != e13
      | op1(e11,e13) != e11
      | epred17_0
      | ~ epred18_0 )
    & ( op1(e13,e13) != e13
      | op1(e11,e11) != e13
      | op1(e11,e13) != e11
      | epred17_0
      | ~ epred18_0 )
    & ( op1(e13,e11) = e11
      | op1(e12,e12) != e13
      | op1(e12,e13) != e12
      | epred17_0
      | ~ epred18_0 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) != e10
      | op1(e12,e12) != e13
      | op1(e12,e13) != e12
      | epred17_0
      | ~ epred18_0 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) != e11
      | op1(e12,e12) != e13
      | op1(e12,e13) != e12
      | epred17_0
      | ~ epred18_0 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) != e12
      | op1(e12,e12) != e13
      | op1(e12,e13) != e12
      | epred17_0
      | ~ epred18_0 )
    & ( op1(e13,e13) != e13
      | op1(e12,e12) != e13
      | op1(e12,e13) != e12
      | epred17_0
      | ~ epred18_0 )
    & ( op1(e13,e11) = e11
      | op1(e13,e13) != e13
      | epred17_0
      | ~ epred18_0 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) != e10
      | op1(e13,e13) != e13
      | epred17_0
      | ~ epred18_0 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) != e11
      | op1(e13,e13) != e13
      | epred17_0
      | ~ epred18_0 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) != e12
      | op1(e13,e13) != e13
      | epred17_0
      | ~ epred18_0 )
    & ( op1(e13,e13) != e13
      | op1(e13,e13) != e13
      | epred17_0
      | ~ epred18_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_257])])]) ).

cnf(c_0_285,plain,
    ( op1(e13,e13) = e13
    | op1(e13,e12) = e12
    | epred18_0 ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_286,plain,
    ( op1(e12,e12) = e10
    | op1(e13,e12) = e11 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_260]) ).

cnf(c_0_287,plain,
    ( op1(e12,e12) = e12
    | op1(e13,e11) != e11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_263]) ).

cnf(c_0_288,plain,
    ( op1(e13,e12) = e11
    | op1(e13,e11) = e11 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_264,c_0_83]),c_0_42]),c_0_87]),c_0_260]) ).

cnf(c_0_289,plain,
    ( op1(e13,e10) = e12
    | op1(e13,e11) = e12
    | op1(e13,e12) = e12
    | op1(e13,e13) = e12 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_290,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e11) = e11
    | op1(e11,e12) = e11
    | op1(e11,e13) = e11 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_291,plain,
    ( op1(e13,e12) = e11
    | op1(e11,e10) != e11 ),
    inference(spm,[status(thm)],[c_0_265,c_0_258]) ).

cnf(c_0_292,plain,
    ( op1(e11,e10) = e11
    | op1(e10,e10) = e11 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_266,c_0_83]),c_0_267]),c_0_87]) ).

cnf(c_0_293,plain,
    ( op1(e11,e10) = e12
    | op1(e11,e11) = e12
    | op1(e11,e12) = e12
    | op1(e11,e13) = e12 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_294,plain,
    ( op1(e11,e11) = e12
    | op1(e11,e11) = e10
    | ~ epred15_0 ),
    inference(spm,[status(thm)],[c_0_268,c_0_269]) ).

cnf(c_0_295,plain,
    ( op1(e13,e11) = e12
    | ~ epred15_0 ),
    inference(spm,[status(thm)],[c_0_270,c_0_271]) ).

cnf(c_0_296,plain,
    h3(e12) = op2(op2(e22,e22),e22),
    inference(split_conjunct,[status(thm)],[ax16]) ).

cnf(c_0_297,plain,
    ( h1(e10) = e21
    | h2(e10) != e22 ),
    inference(spm,[status(thm)],[c_0_272,c_0_273]) ).

cnf(c_0_298,plain,
    ( h2(e10) = e22
    | h2(e10) = e20 ),
    inference(sr,[status(thm)],[c_0_274,c_0_253]) ).

cnf(c_0_299,plain,
    ( h1(e10) = e20
    | h2(e10) != e22 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_277]) ).

cnf(c_0_300,plain,
    ( h1(e10) = e20
    | h2(e10) != e20 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_278]),c_0_277]) ).

fof(c_0_301,negated_conjecture,
    ~ ( ( epred1_0
        & ( h1(e10) = e23
          | h1(e11) = e23
          | h1(e12) = e23
          | h1(e13) = e23 ) )
      | ( epred2_0
        & ( h2(e10) = e23
          | h2(e11) = e23
          | h2(e12) = e23
          | h2(e13) = e23 ) )
      | ( epred3_0
        & ( h3(e10) = e23
          | h3(e11) = e23
          | h3(e12) = e23
          | h3(e13) = e23 ) )
      | ( epred4_0
        & ( h4(e10) = e23
          | h4(e11) = e23
          | h4(e12) = e23
          | h4(e13) = e23 ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[co1]),c_0_279]),c_0_280]),c_0_281]),c_0_282]) ).

fof(c_0_302,plain,
    ( epred16_0
   => ( epred15_0
      | ( op1(e12,e10) = e10
        & ( op1(e10,e10) != e12
          | op1(e10,e12) != e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) != e11 )
        & op1(e12,e12) != e12
        & ( op1(e13,e13) != e12
          | op1(e13,e12) != e13 ) )
      | ( op1(e12,e11) = e11
        & ( op1(e10,e10) != e12
          | op1(e10,e12) != e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) != e11 )
        & op1(e12,e12) != e12
        & ( op1(e13,e13) != e12
          | op1(e13,e12) != e13 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_209]),c_0_135]) ).

cnf(c_0_303,plain,
    ( op1(e12,e13) = e13
    | op1(e12,e12) = e12
    | epred16_0
    | ~ epred17_0 ),
    inference(split_conjunct,[status(thm)],[c_0_256]) ).

cnf(c_0_304,plain,
    ( epred16_0
    | op1(e12,e12) != e12
    | ~ epred17_0 ),
    inference(cn,[status(thm)],[c_0_283]) ).

cnf(c_0_305,plain,
    ( op1(e13,e11) = e11
    | op1(e13,e10) = e10
    | epred17_0
    | ~ epred18_0 ),
    inference(split_conjunct,[status(thm)],[c_0_284]) ).

cnf(c_0_306,plain,
    ( op1(e13,e12) = e12
    | epred18_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_285,c_0_42]),c_0_88]) ).

cnf(c_0_307,plain,
    op1(e13,e12) = e11,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_201]),c_0_288]) ).

cnf(c_0_308,plain,
    e11 != e12,
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_309,plain,
    ( op1(e13,e12) = e12
    | op1(e13,e11) = e12 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_289,c_0_83]),c_0_42]),c_0_86]),c_0_201]) ).

cnf(c_0_310,plain,
    ( op1(e11,e12) = e11
    | op1(e11,e11) = e11
    | op1(e11,e10) = e11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_290,c_0_111]),c_0_87]) ).

cnf(c_0_311,plain,
    ( op1(e10,e10) = e11
    | op1(e13,e12) = e11 ),
    inference(spm,[status(thm)],[c_0_291,c_0_292]) ).

cnf(c_0_312,plain,
    ( op1(e11,e12) = e12
    | op1(e11,e11) = e12
    | op1(e11,e10) = e12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_293,c_0_111]),c_0_86]) ).

cnf(c_0_313,plain,
    ( op1(e11,e11) = e10
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_294]),c_0_295]) ).

cnf(c_0_314,plain,
    op2(e20,e21) != op2(e20,e23),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_315,plain,
    op2(h3(e10),e22) = h3(e12),
    inference(rw,[status(thm)],[c_0_296,c_0_69]) ).

cnf(c_0_316,plain,
    ( h2(e10) = e20
    | h1(e10) = e21 ),
    inference(spm,[status(thm)],[c_0_297,c_0_298]) ).

cnf(c_0_317,plain,
    h1(e10) = e20,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_298]),c_0_300]) ).

cnf(c_0_318,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e22) != e20 ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

fof(c_0_319,negated_conjecture,
    ( ( h1(e10) != e23
      | ~ epred1_0 )
    & ( h1(e11) != e23
      | ~ epred1_0 )
    & ( h1(e12) != e23
      | ~ epred1_0 )
    & ( h1(e13) != e23
      | ~ epred1_0 )
    & ( h2(e10) != e23
      | ~ epred2_0 )
    & ( h2(e11) != e23
      | ~ epred2_0 )
    & ( h2(e12) != e23
      | ~ epred2_0 )
    & ( h2(e13) != e23
      | ~ epred2_0 )
    & ( h3(e10) != e23
      | ~ epred3_0 )
    & ( h3(e11) != e23
      | ~ epred3_0 )
    & ( h3(e12) != e23
      | ~ epred3_0 )
    & ( h3(e13) != e23
      | ~ epred3_0 )
    & ( h4(e10) != e23
      | ~ epred4_0 )
    & ( h4(e11) != e23
      | ~ epred4_0 )
    & ( h4(e12) != e23
      | ~ epred4_0 )
    & ( h4(e13) != e23
      | ~ epred4_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_301])])]) ).

fof(c_0_320,plain,
    ( ( op1(e12,e11) = e11
      | op1(e12,e10) = e10
      | epred15_0
      | ~ epred16_0 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) != e10
      | op1(e12,e10) = e10
      | epred15_0
      | ~ epred16_0 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) != e11
      | op1(e12,e10) = e10
      | epred15_0
      | ~ epred16_0 )
    & ( op1(e12,e12) != e12
      | op1(e12,e10) = e10
      | epred15_0
      | ~ epred16_0 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) != e13
      | op1(e12,e10) = e10
      | epred15_0
      | ~ epred16_0 )
    & ( op1(e12,e11) = e11
      | op1(e10,e10) != e12
      | op1(e10,e12) != e10
      | epred15_0
      | ~ epred16_0 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) != e10
      | op1(e10,e10) != e12
      | op1(e10,e12) != e10
      | epred15_0
      | ~ epred16_0 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) != e11
      | op1(e10,e10) != e12
      | op1(e10,e12) != e10
      | epred15_0
      | ~ epred16_0 )
    & ( op1(e12,e12) != e12
      | op1(e10,e10) != e12
      | op1(e10,e12) != e10
      | epred15_0
      | ~ epred16_0 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) != e13
      | op1(e10,e10) != e12
      | op1(e10,e12) != e10
      | epred15_0
      | ~ epred16_0 )
    & ( op1(e12,e11) = e11
      | op1(e11,e11) != e12
      | op1(e11,e12) != e11
      | epred15_0
      | ~ epred16_0 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) != e10
      | op1(e11,e11) != e12
      | op1(e11,e12) != e11
      | epred15_0
      | ~ epred16_0 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) != e11
      | op1(e11,e11) != e12
      | op1(e11,e12) != e11
      | epred15_0
      | ~ epred16_0 )
    & ( op1(e12,e12) != e12
      | op1(e11,e11) != e12
      | op1(e11,e12) != e11
      | epred15_0
      | ~ epred16_0 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) != e13
      | op1(e11,e11) != e12
      | op1(e11,e12) != e11
      | epred15_0
      | ~ epred16_0 )
    & ( op1(e12,e11) = e11
      | op1(e12,e12) != e12
      | epred15_0
      | ~ epred16_0 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) != e10
      | op1(e12,e12) != e12
      | epred15_0
      | ~ epred16_0 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) != e11
      | op1(e12,e12) != e12
      | epred15_0
      | ~ epred16_0 )
    & ( op1(e12,e12) != e12
      | op1(e12,e12) != e12
      | epred15_0
      | ~ epred16_0 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) != e13
      | op1(e12,e12) != e12
      | epred15_0
      | ~ epred16_0 )
    & ( op1(e12,e11) = e11
      | op1(e13,e13) != e12
      | op1(e13,e12) != e13
      | epred15_0
      | ~ epred16_0 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) != e10
      | op1(e13,e13) != e12
      | op1(e13,e12) != e13
      | epred15_0
      | ~ epred16_0 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) != e11
      | op1(e13,e13) != e12
      | op1(e13,e12) != e13
      | epred15_0
      | ~ epred16_0 )
    & ( op1(e12,e12) != e12
      | op1(e13,e13) != e12
      | op1(e13,e12) != e13
      | epred15_0
      | ~ epred16_0 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) != e13
      | op1(e13,e13) != e12
      | op1(e13,e12) != e13
      | epred15_0
      | ~ epred16_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_302])])]) ).

cnf(c_0_321,plain,
    ( op1(e12,e13) = e13
    | epred16_0
    | ~ epred17_0 ),
    inference(csr,[status(thm)],[c_0_303,c_0_304]) ).

cnf(c_0_322,plain,
    ( op1(e13,e11) = e11
    | epred17_0
    | ~ epred18_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_305,c_0_83]),c_0_88]) ).

cnf(c_0_323,plain,
    epred18_0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_306,c_0_307]),c_0_308]) ).

cnf(c_0_324,plain,
    op1(e13,e11) = e12,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_309,c_0_307]),c_0_308]) ).

cnf(c_0_325,plain,
    op1(e11,e12) != op1(e13,e12),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_326,plain,
    ( op1(e11,e12) = e11
    | op1(e11,e10) = e11
    | ~ epred15_0 ),
    inference(spm,[status(thm)],[c_0_268,c_0_310]) ).

cnf(c_0_327,plain,
    ( op1(e13,e12) = e11
    | ~ epred15_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_311]),c_0_260]) ).

cnf(c_0_328,plain,
    op1(e11,e12) != op1(e12,e12),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_329,plain,
    ( op1(e11,e12) = e12
    | op1(e11,e10) = e12
    | ~ epred15_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_313]),c_0_201]) ).

cnf(c_0_330,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e11) = e11
    | op1(e10,e12) = e11
    | op1(e10,e13) = e11 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

fof(c_0_331,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) = e22
        | h3(e11) = e22
        | h3(e12) = e22
        | h3(e13) = e22 ) )
   => epred3_0 ),
    inference(split_equiv,[status(thm)],[c_0_281]) ).

cnf(c_0_332,plain,
    ( op2(e20,e21) = e22
    | op2(e21,e21) = e22
    | op2(e22,e21) = e22
    | op2(e23,e21) = e22 ),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_333,plain,
    op2(e20,e21) != e22,
    inference(rw,[status(thm)],[c_0_314,c_0_30]) ).

cnf(c_0_334,plain,
    h3(e11) = op2(op2(op2(e22,e22),e22),e22),
    inference(split_conjunct,[status(thm)],[ax16]) ).

cnf(c_0_335,plain,
    ( h3(e12) = e23
    | h2(e10) != e20 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_278]),c_0_119]) ).

cnf(c_0_336,plain,
    h2(e10) = e20,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_316,c_0_317]),c_0_182]) ).

cnf(c_0_337,plain,
    ( op2(e21,e20) = e22
    | op2(e21,e21) = e22
    | op2(e21,e22) = e22
    | op2(e21,e23) = e22 ),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_338,plain,
    op2(e21,e20) != op2(e22,e20),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_339,plain,
    ( op2(e22,e20) = e22
    | h3(e10) != e20 ),
    inference(rw,[status(thm)],[c_0_318,c_0_69]) ).

cnf(c_0_340,plain,
    op2(e22,e20) != op2(e23,e20),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_341,plain,
    op2(e20,e20) != op2(e22,e20),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_342,negated_conjecture,
    ( h3(e12) != e23
    | ~ epred3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_319]) ).

cnf(c_0_343,plain,
    ( h3(e12) = e23
    | h2(e10) != e22 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_276]),c_0_119]) ).

cnf(c_0_344,plain,
    ( epred15_0
    | op1(e12,e12) != e12
    | op1(e12,e12) != e12
    | ~ epred16_0 ),
    inference(split_conjunct,[status(thm)],[c_0_320]) ).

cnf(c_0_345,plain,
    ( epred16_0
    | ~ epred17_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_321,c_0_85]),c_0_87]) ).

cnf(c_0_346,plain,
    epred17_0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_322,c_0_323])]),c_0_324]),c_0_308]) ).

cnf(c_0_347,plain,
    ( op1(e11,e10) = e11
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_326]),c_0_327]) ).

cnf(c_0_348,plain,
    ( op1(e11,e10) = e12
    | op1(e12,e12) != e12
    | ~ epred15_0 ),
    inference(spm,[status(thm)],[c_0_328,c_0_329]) ).

cnf(c_0_349,plain,
    ( op1(e10,e12) = e11
    | op1(e10,e11) = e11
    | op1(e10,e10) = e11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_330,c_0_59]),c_0_308]) ).

fof(c_0_350,plain,
    ( ( h3(e10) != e22
      | h3(e10) != e21
      | h3(e10) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e11) != e22
      | h3(e10) != e21
      | h3(e10) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e12) != e22
      | h3(e10) != e21
      | h3(e10) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e13) != e22
      | h3(e10) != e21
      | h3(e10) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e10) != e22
      | h3(e11) != e21
      | h3(e10) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e11) != e22
      | h3(e11) != e21
      | h3(e10) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e12) != e22
      | h3(e11) != e21
      | h3(e10) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e13) != e22
      | h3(e11) != e21
      | h3(e10) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e10) != e22
      | h3(e12) != e21
      | h3(e10) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e11) != e22
      | h3(e12) != e21
      | h3(e10) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e12) != e22
      | h3(e12) != e21
      | h3(e10) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e13) != e22
      | h3(e12) != e21
      | h3(e10) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e10) != e22
      | h3(e13) != e21
      | h3(e10) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e11) != e22
      | h3(e13) != e21
      | h3(e10) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e12) != e22
      | h3(e13) != e21
      | h3(e10) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e13) != e22
      | h3(e13) != e21
      | h3(e10) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e10) != e22
      | h3(e10) != e21
      | h3(e11) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e11) != e22
      | h3(e10) != e21
      | h3(e11) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e12) != e22
      | h3(e10) != e21
      | h3(e11) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e13) != e22
      | h3(e10) != e21
      | h3(e11) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e10) != e22
      | h3(e11) != e21
      | h3(e11) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e11) != e22
      | h3(e11) != e21
      | h3(e11) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e12) != e22
      | h3(e11) != e21
      | h3(e11) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e13) != e22
      | h3(e11) != e21
      | h3(e11) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e10) != e22
      | h3(e12) != e21
      | h3(e11) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e11) != e22
      | h3(e12) != e21
      | h3(e11) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e12) != e22
      | h3(e12) != e21
      | h3(e11) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e13) != e22
      | h3(e12) != e21
      | h3(e11) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e10) != e22
      | h3(e13) != e21
      | h3(e11) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e11) != e22
      | h3(e13) != e21
      | h3(e11) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e12) != e22
      | h3(e13) != e21
      | h3(e11) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e13) != e22
      | h3(e13) != e21
      | h3(e11) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e10) != e22
      | h3(e10) != e21
      | h3(e12) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e11) != e22
      | h3(e10) != e21
      | h3(e12) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e12) != e22
      | h3(e10) != e21
      | h3(e12) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e13) != e22
      | h3(e10) != e21
      | h3(e12) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e10) != e22
      | h3(e11) != e21
      | h3(e12) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e11) != e22
      | h3(e11) != e21
      | h3(e12) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e12) != e22
      | h3(e11) != e21
      | h3(e12) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e13) != e22
      | h3(e11) != e21
      | h3(e12) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e10) != e22
      | h3(e12) != e21
      | h3(e12) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e11) != e22
      | h3(e12) != e21
      | h3(e12) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e12) != e22
      | h3(e12) != e21
      | h3(e12) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e13) != e22
      | h3(e12) != e21
      | h3(e12) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e10) != e22
      | h3(e13) != e21
      | h3(e12) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e11) != e22
      | h3(e13) != e21
      | h3(e12) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e12) != e22
      | h3(e13) != e21
      | h3(e12) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e13) != e22
      | h3(e13) != e21
      | h3(e12) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e10) != e22
      | h3(e10) != e21
      | h3(e13) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e11) != e22
      | h3(e10) != e21
      | h3(e13) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e12) != e22
      | h3(e10) != e21
      | h3(e13) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e13) != e22
      | h3(e10) != e21
      | h3(e13) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e10) != e22
      | h3(e11) != e21
      | h3(e13) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e11) != e22
      | h3(e11) != e21
      | h3(e13) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e12) != e22
      | h3(e11) != e21
      | h3(e13) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e13) != e22
      | h3(e11) != e21
      | h3(e13) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e10) != e22
      | h3(e12) != e21
      | h3(e13) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e11) != e22
      | h3(e12) != e21
      | h3(e13) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e12) != e22
      | h3(e12) != e21
      | h3(e13) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e13) != e22
      | h3(e12) != e21
      | h3(e13) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e10) != e22
      | h3(e13) != e21
      | h3(e13) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e11) != e22
      | h3(e13) != e21
      | h3(e13) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e12) != e22
      | h3(e13) != e21
      | h3(e13) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 )
    & ( h3(e13) != e22
      | h3(e13) != e21
      | h3(e13) != e20
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(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))
      | epred3_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_331])])]) ).

cnf(c_0_351,plain,
    ( op2(e23,e21) = e22
    | h2(e10) = e22 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_332,c_0_65]),c_0_161]),c_0_333]),c_0_47]) ).

cnf(c_0_352,plain,
    h2(e10) != e22,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_297,c_0_317]),c_0_182]) ).

cnf(c_0_353,plain,
    op2(h3(e12),e22) = h3(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_334,c_0_69]),c_0_315]) ).

cnf(c_0_354,plain,
    h3(e12) = e23,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_335,c_0_336])]) ).

cnf(c_0_355,plain,
    ( op2(e20,e20) = e21
    | op2(e20,e21) = e21
    | op2(e20,e22) = e21
    | op2(e20,e23) = e21 ),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_356,plain,
    ( op2(e21,e22) = e22
    | op2(e21,e20) = e22
    | h2(e10) = e22 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_337,c_0_65]),c_0_67]),c_0_47]) ).

cnf(c_0_357,plain,
    ( op2(e21,e20) != e22
    | h3(e10) != e20 ),
    inference(spm,[status(thm)],[c_0_338,c_0_339]) ).

cnf(c_0_358,plain,
    h3(e10) = e20,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_278,c_0_336])]) ).

cnf(c_0_359,plain,
    ( op2(e22,e20) = e20
    | op2(e22,e20) = e21
    | op2(e22,e20) = e22
    | op2(e22,e20) = e23 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_360,plain,
    op2(e22,e20) != e23,
    inference(rw,[status(thm)],[c_0_340,c_0_72]) ).

cnf(c_0_361,plain,
    op2(e22,e20) != h1(e10),
    inference(rw,[status(thm)],[c_0_341,c_0_228]) ).

cnf(c_0_362,negated_conjecture,
    ( h2(e10) != e22
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_342,c_0_343]) ).

cnf(c_0_363,plain,
    ( op1(e10,e12) = e12
    | op1(e11,e12) = e12
    | op1(e12,e12) = e12
    | op1(e13,e12) = e12 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_364,plain,
    ( op1(e12,e10) = e12
    | op1(e12,e11) = e12
    | op1(e12,e12) = e12
    | op1(e12,e13) = e12 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_365,plain,
    ( epred15_0
    | op1(e12,e12) != e12
    | ~ epred16_0 ),
    inference(cn,[status(thm)],[c_0_344]) ).

cnf(c_0_366,plain,
    epred16_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_345,c_0_346])]) ).

cnf(c_0_367,plain,
    ( op1(e12,e12) != e12
    | ~ epred15_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_348]),c_0_308]) ).

cnf(c_0_368,plain,
    op1(e12,e11) != op1(e12,e13),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_369,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e11) = e11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_349,c_0_153]),c_0_87]) ).

cnf(c_0_370,plain,
    ( epred3_0
    | h3(e13) != e22
    | h3(e11) != e21
    | h3(e10) != e20
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
    | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
    | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | h3(op1(e11,e11)) != op2(h3(e11),h3(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)) ),
    inference(split_conjunct,[status(thm)],[c_0_350]) ).

cnf(c_0_371,plain,
    h3(e13) = e22,
    inference(split_conjunct,[status(thm)],[ax16]) ).

cnf(c_0_372,plain,
    op2(e23,e21) = e22,
    inference(sr,[status(thm)],[c_0_351,c_0_352]) ).

cnf(c_0_373,plain,
    op2(e23,e22) = h3(e11),
    inference(rw,[status(thm)],[c_0_353,c_0_354]) ).

cnf(c_0_374,plain,
    ( op2(e20,e22) = e21
    | op2(e20,e21) = e21
    | h1(e10) = e21 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_355,c_0_228]),c_0_30]),c_0_203]) ).

cnf(c_0_375,plain,
    ( op2(e21,e20) = e22
    | op2(e21,e22) = e22 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_356,c_0_336]),c_0_277]) ).

cnf(c_0_376,plain,
    op2(e21,e20) != e22,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_357,c_0_358])]) ).

cnf(c_0_377,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e20) = e20 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_359,c_0_250]),c_0_360]) ).

cnf(c_0_378,plain,
    op2(e22,e20) != e20,
    inference(rw,[status(thm)],[c_0_361,c_0_317]) ).

cnf(c_0_379,negated_conjecture,
    ( h2(e10) = e20
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_362,c_0_298]) ).

cnf(c_0_380,plain,
    ( op1(e13,e12) = e12
    | op1(e12,e12) = e12
    | op1(e11,e12) = e12 ),
    inference(sr,[status(thm)],[c_0_363,c_0_179]) ).

cnf(c_0_381,plain,
    ( op1(e12,e12) = e10
    | op1(e12,e12) = e11
    | op1(e12,e12) = e12
    | op1(e12,e12) = e13 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_382,plain,
    ( op1(e12,e11) = e11
    | op1(e12,e10) = e10
    | epred15_0
    | ~ epred16_0 ),
    inference(split_conjunct,[status(thm)],[c_0_320]) ).

cnf(c_0_383,plain,
    ( op1(e12,e12) = e12
    | op1(e12,e10) = e12 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_364,c_0_193]),c_0_85]),c_0_86]),c_0_308]) ).

cnf(c_0_384,plain,
    op1(e12,e12) != e12,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_365,c_0_366])]),c_0_367]) ).

cnf(c_0_385,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_386,plain,
    op1(e12,e11) != e11,
    inference(rw,[status(thm)],[c_0_368,c_0_85]) ).

cnf(c_0_387,plain,
    ( op1(e10,e10) = e11
    | op1(e13,e11) != e11 ),
    inference(spm,[status(thm)],[c_0_214,c_0_369]) ).

cnf(c_0_388,plain,
    ( epred3_0
    | op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
    | op2(h3(e10),h3(e11)) != h3(op1(e10,e11))
    | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
    | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
    | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
    | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
    | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
    | op2(e22,h3(e11)) != h3(op1(e13,e11))
    | op2(e22,h3(e12)) != h3(op1(e13,e12))
    | op2(h3(e10),h3(e12)) != e22
    | op2(h3(e12),h3(e11)) != e22
    | op2(h3(e11),e22) != e22
    | op2(e22,h3(e10)) != e22
    | h3(e10) != e20
    | h3(e11) != e21 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_370,c_0_371]),c_0_153]),c_0_371]),c_0_371]),c_0_315]),c_0_59]),c_0_371]),c_0_111]),c_0_371]),c_0_193]),c_0_371]),c_0_371]),c_0_353]),c_0_85]),c_0_371]),c_0_83]),c_0_371]),c_0_371]),c_0_371]),c_0_371]),c_0_371]),c_0_69]),c_0_42])]) ).

cnf(c_0_389,plain,
    h3(e11) = e21,
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_372]),c_0_203]),c_0_373]) ).

cnf(c_0_390,plain,
    op2(e20,e21) = e21,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_374,c_0_317]),c_0_182]),c_0_119]),c_0_48]) ).

cnf(c_0_391,plain,
    op2(e21,e20) = e21,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_273,c_0_317]),c_0_182]) ).

cnf(c_0_392,plain,
    op2(e21,e22) = e22,
    inference(sr,[status(thm)],[c_0_375,c_0_376]) ).

cnf(c_0_393,plain,
    op2(e22,e20) = e22,
    inference(sr,[status(thm)],[c_0_377,c_0_378]) ).

cnf(c_0_394,negated_conjecture,
    ~ epred3_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_335]),c_0_379]) ).

cnf(c_0_395,plain,
    ( op1(e12,e12) = e12
    | op1(e11,e12) = e12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_380,c_0_307]),c_0_308]) ).

cnf(c_0_396,plain,
    ( op1(e12,e12) = e12
    | op1(e12,e12) = e10 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_381,c_0_211]),c_0_108]) ).

cnf(c_0_397,plain,
    ( op1(e12,e10) = e10
    | epred15_0
    | ~ epred16_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_382,c_0_193]),c_0_87]) ).

cnf(c_0_398,plain,
    op1(e12,e10) = e12,
    inference(sr,[status(thm)],[c_0_383,c_0_384]) ).

cnf(c_0_399,plain,
    ( op1(e13,e11) = e11
    | op1(e11,e11) = e11
    | op1(e10,e11) = e11 ),
    inference(sr,[status(thm)],[c_0_385,c_0_386]) ).

cnf(c_0_400,plain,
    ( op1(e13,e11) != e11
    | ~ epred15_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_387]),c_0_260]) ).

cnf(c_0_401,plain,
    ( h3(op1(e10,e10)) != e20
    | h3(op1(e10,e11)) != e21
    | h3(op1(e11,e10)) != e21
    | h3(op1(e11,e11)) != e20
    | h3(op1(e11,e12)) != e23
    | h3(op1(e12,e10)) != e23
    | h3(op1(e12,e12)) != e20
    | h3(op1(e13,e11)) != e23
    | h3(op1(e13,e12)) != e21 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_388,c_0_358]),c_0_358]),c_0_228]),c_0_317]),c_0_358]),c_0_389]),c_0_390]),c_0_389]),c_0_358]),c_0_391]),c_0_389]),c_0_389]),c_0_65]),c_0_336]),c_0_389]),c_0_354]),c_0_67]),c_0_354]),c_0_358]),c_0_72]),c_0_354]),c_0_354]),c_0_20]),c_0_389]),c_0_161]),c_0_354]),c_0_46]),c_0_358]),c_0_354]),c_0_30]),c_0_354]),c_0_389]),c_0_372]),c_0_389]),c_0_392]),c_0_358]),c_0_393]),c_0_358]),c_0_389])]),c_0_394]) ).

cnf(c_0_402,plain,
    op1(e11,e12) = e12,
    inference(sr,[status(thm)],[c_0_395,c_0_384]) ).

cnf(c_0_403,plain,
    op1(e12,e12) = e10,
    inference(sr,[status(thm)],[c_0_396,c_0_384]) ).

cnf(c_0_404,plain,
    epred15_0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_397,c_0_366])]),c_0_398]),c_0_201]) ).

cnf(c_0_405,plain,
    ( op1(e10,e11) = e11
    | ~ epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_399]),c_0_400]) ).

cnf(c_0_406,plain,
    ( h3(op1(e10,e10)) != e20
    | h3(op1(e10,e11)) != e21
    | h3(op1(e11,e10)) != e21
    | h3(op1(e11,e11)) != e20 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_401,c_0_307]),c_0_389])]),c_0_402]),c_0_354]),c_0_398]),c_0_354]),c_0_403]),c_0_358]),c_0_324]),c_0_354])]) ).

cnf(c_0_407,plain,
    op1(e11,e10) = e11,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_347,c_0_404])]) ).

cnf(c_0_408,plain,
    op1(e10,e10) = e10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_271,c_0_404])]) ).

cnf(c_0_409,plain,
    op1(e10,e11) = e11,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_405,c_0_404])]) ).

cnf(c_0_410,plain,
    op1(e11,e11) = e10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_313,c_0_404])]) ).

cnf(c_0_411,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_406,c_0_407]),c_0_389])]),c_0_408]),c_0_358]),c_0_409]),c_0_389]),c_0_410]),c_0_358])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : ALG123+1 : TPTP v8.2.0. Released v2.7.0.
% 0.10/0.12  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n026.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Sat May 18 23:05:23 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.16/0.42  Running first-order theorem proving
% 0.16/0.42  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.12/0.60  # Version: 3.1.0
% 1.12/0.60  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.12/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.12/0.60  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.12/0.60  # Starting new_bool_3 with 300s (1) cores
% 1.12/0.60  # Starting new_bool_1 with 300s (1) cores
% 1.12/0.60  # Starting sh5l with 300s (1) cores
% 1.12/0.60  # new_bool_3 with pid 4950 completed with status 0
% 1.12/0.60  # Result found by new_bool_3
% 1.12/0.60  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.12/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.12/0.60  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.12/0.60  # Starting new_bool_3 with 300s (1) cores
% 1.12/0.60  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.12/0.60  # Search class: FGHSF-FMLM21-MFFFFFNN
% 1.12/0.60  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.12/0.60  # Starting C07_19_nc_SAT001_MinMin_p005000_rr with 181s (1) cores
% 1.12/0.60  # C07_19_nc_SAT001_MinMin_p005000_rr with pid 4960 completed with status 0
% 1.12/0.60  # Result found by C07_19_nc_SAT001_MinMin_p005000_rr
% 1.12/0.60  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.12/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.12/0.60  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.12/0.60  # Starting new_bool_3 with 300s (1) cores
% 1.12/0.60  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.12/0.60  # Search class: FGHSF-FMLM21-MFFFFFNN
% 1.12/0.60  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.12/0.60  # Starting C07_19_nc_SAT001_MinMin_p005000_rr with 181s (1) cores
% 1.12/0.60  # Preprocessing time       : 0.010 s
% 1.12/0.60  # Presaturation interreduction done
% 1.12/0.60  
% 1.12/0.60  # Proof found!
% 1.12/0.60  # SZS status Theorem
% 1.12/0.60  # SZS output start CNFRefutation
% See solution above
% 1.12/0.60  # Parsed axioms                        : 18
% 1.12/0.60  # Removed by relevancy pruning/SinE    : 0
% 1.12/0.60  # Initial clauses                      : 948
% 1.12/0.60  # Removed in clause preprocessing      : 16
% 1.12/0.60  # Initial clauses in saturation        : 932
% 1.12/0.60  # Processed clauses                    : 2098
% 1.12/0.60  # ...of these trivial                  : 78
% 1.12/0.60  # ...subsumed                          : 1158
% 1.12/0.60  # ...remaining for further processing  : 861
% 1.12/0.60  # Other redundant clauses eliminated   : 0
% 1.12/0.60  # Clauses deleted for lack of memory   : 0
% 1.12/0.60  # Backward-subsumed                    : 185
% 1.12/0.60  # Backward-rewritten                   : 306
% 1.12/0.60  # Generated clauses                    : 1065
% 1.12/0.60  # ...of the previous two non-redundant : 1260
% 1.12/0.60  # ...aggressively subsumed             : 0
% 1.12/0.60  # Contextual simplify-reflections      : 42
% 1.12/0.60  # Paramodulations                      : 1003
% 1.12/0.60  # Factorizations                       : 26
% 1.12/0.60  # NegExts                              : 0
% 1.12/0.60  # Equation resolutions                 : 0
% 1.12/0.60  # Disequality decompositions           : 0
% 1.12/0.60  # Total rewrite steps                  : 10317
% 1.12/0.60  # ...of those cached                   : 10255
% 1.12/0.60  # Propositional unsat checks           : 0
% 1.12/0.60  #    Propositional check models        : 0
% 1.12/0.60  #    Propositional check unsatisfiable : 0
% 1.12/0.60  #    Propositional clauses             : 0
% 1.12/0.60  #    Propositional clauses after purity: 0
% 1.12/0.60  #    Propositional unsat core size     : 0
% 1.12/0.60  #    Propositional preprocessing time  : 0.000
% 1.12/0.60  #    Propositional encoding time       : 0.000
% 1.12/0.60  #    Propositional solver time         : 0.000
% 1.12/0.60  #    Success case prop preproc time    : 0.000
% 1.12/0.60  #    Success case prop encoding time   : 0.000
% 1.12/0.60  #    Success case prop solver time     : 0.000
% 1.12/0.60  # Current number of processed clauses  : 94
% 1.12/0.60  #    Positive orientable unit clauses  : 56
% 1.12/0.60  #    Positive unorientable unit clauses: 0
% 1.12/0.60  #    Negative unit clauses             : 36
% 1.12/0.60  #    Non-unit-clauses                  : 2
% 1.12/0.60  # Current number of unprocessed clauses: 146
% 1.12/0.60  # ...number of literals in the above   : 650
% 1.12/0.60  # Current number of archived formulas  : 0
% 1.12/0.60  # Current number of archived clauses   : 767
% 1.12/0.60  # Clause-clause subsumption calls (NU) : 17027
% 1.12/0.60  # Rec. Clause-clause subsumption calls : 2633
% 1.12/0.60  # Non-unit clause-clause subsumptions  : 285
% 1.12/0.60  # Unit Clause-clause subsumption calls : 2411
% 1.12/0.60  # Rewrite failures with RHS unbound    : 0
% 1.12/0.60  # BW rewrite match attempts            : 49
% 1.12/0.60  # BW rewrite match successes           : 49
% 1.12/0.60  # Condensation attempts                : 0
% 1.12/0.60  # Condensation successes               : 0
% 1.12/0.60  # Termbank termtop insertions          : 133811
% 1.12/0.60  # Search garbage collected termcells   : 5186
% 1.12/0.60  
% 1.12/0.60  # -------------------------------------------------
% 1.12/0.60  # User time                : 0.127 s
% 1.12/0.60  # System time              : 0.003 s
% 1.12/0.60  # Total time               : 0.130 s
% 1.12/0.60  # Maximum resident set size: 3704 pages
% 1.12/0.60  
% 1.12/0.60  # -------------------------------------------------
% 1.12/0.60  # User time                : 0.130 s
% 1.12/0.60  # System time              : 0.006 s
% 1.12/0.60  # Total time               : 0.136 s
% 1.12/0.60  # Maximum resident set size: 2008 pages
% 1.12/0.60  % E---3.1 exiting
% 1.12/0.60  % E exiting
%------------------------------------------------------------------------------