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Prover9---2026-6A.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : ALG124+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 06:49:34 AM UTC 2026

% Result   : Theorem 24.96s 13.48s
% Output   : CNFRefutation 24.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  152
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  688 ( 163 unt;   4 def)
%            Number of atoms       : 4514 (4427 equ)
%            Maximal formula atoms :  132 (   6 avg)
%            Number of connectives : 6414 (2588   ~;3295   |; 527   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   6 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   5 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(ax1,axiom,
    ( ( op1(e13,e13) = e13
      | op1(e13,e13) = e12
      | op1(e13,e13) = e11
      | op1(e13,e13) = e10 )
    & ( op1(e13,e12) = e13
      | op1(e13,e12) = e12
      | op1(e13,e12) = e11
      | op1(e13,e12) = e10 )
    & ( op1(e13,e11) = e13
      | op1(e13,e11) = e12
      | op1(e13,e11) = e11
      | op1(e13,e11) = e10 )
    & ( op1(e13,e10) = e13
      | op1(e13,e10) = e12
      | op1(e13,e10) = e11
      | op1(e13,e10) = e10 )
    & ( op1(e12,e13) = e13
      | op1(e12,e13) = e12
      | op1(e12,e13) = e11
      | op1(e12,e13) = e10 )
    & ( op1(e12,e12) = e13
      | op1(e12,e12) = e12
      | op1(e12,e12) = e11
      | op1(e12,e12) = e10 )
    & ( op1(e12,e11) = e13
      | op1(e12,e11) = e12
      | op1(e12,e11) = e11
      | op1(e12,e11) = e10 )
    & ( op1(e12,e10) = e13
      | op1(e12,e10) = e12
      | op1(e12,e10) = e11
      | op1(e12,e10) = e10 )
    & ( op1(e11,e13) = e13
      | op1(e11,e13) = e12
      | op1(e11,e13) = e11
      | op1(e11,e13) = e10 )
    & ( op1(e11,e12) = e13
      | op1(e11,e12) = e12
      | op1(e11,e12) = e11
      | op1(e11,e12) = e10 )
    & ( op1(e11,e11) = e13
      | op1(e11,e11) = e12
      | op1(e11,e11) = e11
      | op1(e11,e11) = e10 )
    & ( op1(e11,e10) = e13
      | op1(e11,e10) = e12
      | op1(e11,e10) = e11
      | op1(e11,e10) = e10 )
    & ( op1(e10,e13) = e13
      | op1(e10,e13) = e12
      | op1(e10,e13) = e11
      | op1(e10,e13) = e10 )
    & ( op1(e10,e12) = e13
      | op1(e10,e12) = e12
      | op1(e10,e12) = e11
      | op1(e10,e12) = e10 )
    & ( op1(e10,e11) = e13
      | op1(e10,e11) = e12
      | op1(e10,e11) = e11
      | op1(e10,e11) = e10 )
    & ( op1(e10,e10) = e13
      | op1(e10,e10) = e12
      | op1(e10,e10) = e11
      | op1(e10,e10) = e10 ) ),
    file('theBenchmark.p',ax1) ).

fof(ax2,axiom,
    ( ( op1(e13,e13) = e13
      | op1(e12,e13) = e13
      | op1(e11,e13) = e13
      | op1(e10,e13) = e13 )
    & ( op1(e13,e13) = e13
      | op1(e13,e12) = e13
      | op1(e13,e11) = e13
      | op1(e13,e10) = e13 )
    & ( op1(e13,e13) = e12
      | op1(e12,e13) = e12
      | op1(e11,e13) = e12
      | op1(e10,e13) = e12 )
    & ( op1(e13,e13) = e12
      | op1(e13,e12) = e12
      | op1(e13,e11) = e12
      | op1(e13,e10) = e12 )
    & ( op1(e13,e13) = e11
      | op1(e12,e13) = e11
      | op1(e11,e13) = e11
      | op1(e10,e13) = e11 )
    & ( op1(e13,e13) = e11
      | op1(e13,e12) = e11
      | op1(e13,e11) = e11
      | op1(e13,e10) = e11 )
    & ( op1(e13,e13) = e10
      | op1(e12,e13) = e10
      | op1(e11,e13) = e10
      | op1(e10,e13) = e10 )
    & ( op1(e13,e13) = e10
      | op1(e13,e12) = e10
      | op1(e13,e11) = e10
      | op1(e13,e10) = e10 )
    & ( op1(e13,e12) = e13
      | op1(e12,e12) = e13
      | op1(e11,e12) = e13
      | op1(e10,e12) = e13 )
    & ( op1(e12,e13) = e13
      | op1(e12,e12) = e13
      | op1(e12,e11) = e13
      | op1(e12,e10) = e13 )
    & ( op1(e13,e12) = e12
      | op1(e12,e12) = e12
      | op1(e11,e12) = e12
      | op1(e10,e12) = e12 )
    & ( op1(e12,e13) = e12
      | op1(e12,e12) = e12
      | op1(e12,e11) = e12
      | op1(e12,e10) = e12 )
    & ( op1(e13,e12) = e11
      | op1(e12,e12) = e11
      | op1(e11,e12) = e11
      | op1(e10,e12) = e11 )
    & ( op1(e12,e13) = e11
      | op1(e12,e12) = e11
      | op1(e12,e11) = e11
      | op1(e12,e10) = e11 )
    & ( op1(e13,e12) = e10
      | op1(e12,e12) = e10
      | op1(e11,e12) = e10
      | op1(e10,e12) = e10 )
    & ( op1(e12,e13) = e10
      | op1(e12,e12) = e10
      | op1(e12,e11) = e10
      | op1(e12,e10) = e10 )
    & ( op1(e13,e11) = e13
      | op1(e12,e11) = e13
      | op1(e11,e11) = e13
      | op1(e10,e11) = e13 )
    & ( op1(e11,e13) = e13
      | op1(e11,e12) = e13
      | op1(e11,e11) = e13
      | op1(e11,e10) = e13 )
    & ( op1(e13,e11) = e12
      | op1(e12,e11) = e12
      | op1(e11,e11) = e12
      | op1(e10,e11) = e12 )
    & ( op1(e11,e13) = e12
      | op1(e11,e12) = e12
      | op1(e11,e11) = e12
      | op1(e11,e10) = e12 )
    & ( op1(e13,e11) = e11
      | op1(e12,e11) = e11
      | op1(e11,e11) = e11
      | op1(e10,e11) = e11 )
    & ( op1(e11,e13) = e11
      | op1(e11,e12) = e11
      | op1(e11,e11) = e11
      | op1(e11,e10) = e11 )
    & ( op1(e13,e11) = e10
      | op1(e12,e11) = e10
      | op1(e11,e11) = e10
      | op1(e10,e11) = e10 )
    & ( op1(e11,e13) = e10
      | op1(e11,e12) = e10
      | op1(e11,e11) = e10
      | op1(e11,e10) = e10 )
    & ( op1(e13,e10) = e13
      | op1(e12,e10) = e13
      | op1(e11,e10) = e13
      | op1(e10,e10) = e13 )
    & ( op1(e10,e13) = e13
      | op1(e10,e12) = e13
      | op1(e10,e11) = e13
      | op1(e10,e10) = e13 )
    & ( op1(e13,e10) = e12
      | op1(e12,e10) = e12
      | op1(e11,e10) = e12
      | op1(e10,e10) = e12 )
    & ( op1(e10,e13) = e12
      | op1(e10,e12) = e12
      | op1(e10,e11) = e12
      | op1(e10,e10) = e12 )
    & ( op1(e13,e10) = e11
      | op1(e12,e10) = e11
      | op1(e11,e10) = e11
      | op1(e10,e10) = e11 )
    & ( op1(e10,e13) = e11
      | op1(e10,e12) = e11
      | op1(e10,e11) = e11
      | op1(e10,e10) = e11 )
    & ( op1(e13,e10) = e10
      | op1(e12,e10) = e10
      | op1(e11,e10) = e10
      | op1(e10,e10) = e10 )
    & ( op1(e10,e13) = e10
      | op1(e10,e12) = e10
      | op1(e10,e11) = e10
      | op1(e10,e10) = e10 ) ),
    file('theBenchmark.p',ax2) ).

fof(ax3,axiom,
    ( ( op2(e23,e23) = e23
      | op2(e23,e23) = e22
      | op2(e23,e23) = e21
      | op2(e23,e23) = e20 )
    & ( op2(e23,e22) = e23
      | op2(e23,e22) = e22
      | op2(e23,e22) = e21
      | op2(e23,e22) = e20 )
    & ( op2(e23,e21) = e23
      | op2(e23,e21) = e22
      | op2(e23,e21) = e21
      | op2(e23,e21) = e20 )
    & ( op2(e23,e20) = e23
      | op2(e23,e20) = e22
      | op2(e23,e20) = e21
      | op2(e23,e20) = e20 )
    & ( op2(e22,e23) = e23
      | op2(e22,e23) = e22
      | op2(e22,e23) = e21
      | op2(e22,e23) = e20 )
    & ( op2(e22,e22) = e23
      | op2(e22,e22) = e22
      | op2(e22,e22) = e21
      | op2(e22,e22) = e20 )
    & ( op2(e22,e21) = e23
      | op2(e22,e21) = e22
      | op2(e22,e21) = e21
      | op2(e22,e21) = e20 )
    & ( op2(e22,e20) = e23
      | op2(e22,e20) = e22
      | op2(e22,e20) = e21
      | op2(e22,e20) = e20 )
    & ( op2(e21,e23) = e23
      | op2(e21,e23) = e22
      | op2(e21,e23) = e21
      | op2(e21,e23) = e20 )
    & ( op2(e21,e22) = e23
      | op2(e21,e22) = e22
      | op2(e21,e22) = e21
      | op2(e21,e22) = e20 )
    & ( op2(e21,e21) = e23
      | op2(e21,e21) = e22
      | op2(e21,e21) = e21
      | op2(e21,e21) = e20 )
    & ( op2(e21,e20) = e23
      | op2(e21,e20) = e22
      | op2(e21,e20) = e21
      | op2(e21,e20) = e20 )
    & ( op2(e20,e23) = e23
      | op2(e20,e23) = e22
      | op2(e20,e23) = e21
      | op2(e20,e23) = e20 )
    & ( op2(e20,e22) = e23
      | op2(e20,e22) = e22
      | op2(e20,e22) = e21
      | op2(e20,e22) = e20 )
    & ( op2(e20,e21) = e23
      | op2(e20,e21) = e22
      | op2(e20,e21) = e21
      | op2(e20,e21) = e20 )
    & ( op2(e20,e20) = e23
      | op2(e20,e20) = e22
      | op2(e20,e20) = e21
      | op2(e20,e20) = e20 ) ),
    file('theBenchmark.p',ax3) ).

fof(ax4,axiom,
    ( ( op2(e23,e23) = e23
      | op2(e22,e23) = e23
      | op2(e21,e23) = e23
      | op2(e20,e23) = e23 )
    & ( op2(e23,e23) = e23
      | op2(e23,e22) = e23
      | op2(e23,e21) = e23
      | op2(e23,e20) = e23 )
    & ( op2(e23,e23) = e22
      | op2(e22,e23) = e22
      | op2(e21,e23) = e22
      | op2(e20,e23) = e22 )
    & ( op2(e23,e23) = e22
      | op2(e23,e22) = e22
      | op2(e23,e21) = e22
      | op2(e23,e20) = e22 )
    & ( op2(e23,e23) = e21
      | op2(e22,e23) = e21
      | op2(e21,e23) = e21
      | op2(e20,e23) = e21 )
    & ( op2(e23,e23) = e21
      | op2(e23,e22) = e21
      | op2(e23,e21) = e21
      | op2(e23,e20) = e21 )
    & ( op2(e23,e23) = e20
      | op2(e22,e23) = e20
      | op2(e21,e23) = e20
      | op2(e20,e23) = e20 )
    & ( op2(e23,e23) = e20
      | op2(e23,e22) = e20
      | op2(e23,e21) = e20
      | op2(e23,e20) = e20 )
    & ( op2(e23,e22) = e23
      | op2(e22,e22) = e23
      | op2(e21,e22) = e23
      | op2(e20,e22) = e23 )
    & ( op2(e22,e23) = e23
      | op2(e22,e22) = e23
      | op2(e22,e21) = e23
      | op2(e22,e20) = e23 )
    & ( op2(e23,e22) = e22
      | op2(e22,e22) = e22
      | op2(e21,e22) = e22
      | op2(e20,e22) = e22 )
    & ( op2(e22,e23) = e22
      | op2(e22,e22) = e22
      | op2(e22,e21) = e22
      | op2(e22,e20) = e22 )
    & ( op2(e23,e22) = e21
      | op2(e22,e22) = e21
      | op2(e21,e22) = e21
      | op2(e20,e22) = e21 )
    & ( op2(e22,e23) = e21
      | op2(e22,e22) = e21
      | op2(e22,e21) = e21
      | op2(e22,e20) = e21 )
    & ( op2(e23,e22) = e20
      | op2(e22,e22) = e20
      | op2(e21,e22) = e20
      | op2(e20,e22) = e20 )
    & ( op2(e22,e23) = e20
      | op2(e22,e22) = e20
      | op2(e22,e21) = e20
      | op2(e22,e20) = e20 )
    & ( op2(e23,e21) = e23
      | op2(e22,e21) = e23
      | op2(e21,e21) = e23
      | op2(e20,e21) = e23 )
    & ( op2(e21,e23) = e23
      | op2(e21,e22) = e23
      | op2(e21,e21) = e23
      | op2(e21,e20) = e23 )
    & ( op2(e23,e21) = e22
      | op2(e22,e21) = e22
      | op2(e21,e21) = e22
      | op2(e20,e21) = e22 )
    & ( op2(e21,e23) = e22
      | op2(e21,e22) = e22
      | op2(e21,e21) = e22
      | op2(e21,e20) = e22 )
    & ( op2(e23,e21) = e21
      | op2(e22,e21) = e21
      | op2(e21,e21) = e21
      | op2(e20,e21) = e21 )
    & ( op2(e21,e23) = e21
      | op2(e21,e22) = e21
      | op2(e21,e21) = e21
      | op2(e21,e20) = e21 )
    & ( op2(e23,e21) = e20
      | op2(e22,e21) = e20
      | op2(e21,e21) = e20
      | op2(e20,e21) = e20 )
    & ( op2(e21,e23) = e20
      | op2(e21,e22) = e20
      | op2(e21,e21) = e20
      | op2(e21,e20) = e20 )
    & ( op2(e23,e20) = e23
      | op2(e22,e20) = e23
      | op2(e21,e20) = e23
      | op2(e20,e20) = e23 )
    & ( op2(e20,e23) = e23
      | op2(e20,e22) = e23
      | op2(e20,e21) = e23
      | op2(e20,e20) = e23 )
    & ( op2(e23,e20) = e22
      | op2(e22,e20) = e22
      | op2(e21,e20) = e22
      | op2(e20,e20) = e22 )
    & ( op2(e20,e23) = e22
      | op2(e20,e22) = e22
      | op2(e20,e21) = e22
      | op2(e20,e20) = e22 )
    & ( op2(e23,e20) = e21
      | op2(e22,e20) = e21
      | op2(e21,e20) = e21
      | op2(e20,e20) = e21 )
    & ( op2(e20,e23) = e21
      | op2(e20,e22) = e21
      | op2(e20,e21) = e21
      | op2(e20,e20) = e21 )
    & ( op2(e23,e20) = e20
      | op2(e22,e20) = e20
      | op2(e21,e20) = e20
      | op2(e20,e20) = e20 )
    & ( op2(e20,e23) = e20
      | op2(e20,e22) = e20
      | op2(e20,e21) = e20
      | op2(e20,e20) = e20 ) ),
    file('theBenchmark.p',ax4) ).

fof(ax5,axiom,
    ( op1(e13,e12) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e11)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e11,e10) ),
    file('theBenchmark.p',ax5) ).

fof(ax6,axiom,
    ( op2(e23,e22) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e21)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e21,e20) ),
    file('theBenchmark.p',ax6) ).

fof(ax7,axiom,
    ( e12 != e13
    & e11 != e13
    & e11 != e12
    & e10 != e13
    & e10 != e12
    & e10 != e11 ),
    file('theBenchmark.p',ax7) ).

fof(ax8,axiom,
    ( e22 != e23
    & e21 != e23
    & e21 != e22
    & e20 != e23
    & e20 != e22
    & e20 != e21 ),
    file('theBenchmark.p',ax8) ).

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

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

fof(ax12,axiom,
    ( e13 = op1(e10,e10)
    & e12 = op1(op1(e10,e10),e10)
    & e11 = op1(op1(op1(e10,e10),e10),e10) ),
    file('theBenchmark.p',ax12) ).

fof(ax13,axiom,
    ( e23 = op2(e20,e20)
    & e22 = op2(op2(e20,e20),e20)
    & e21 = op2(op2(op2(e20,e20),e20),e20) ),
    file('theBenchmark.p',ax13) ).

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

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

fof(co1_neg,negated_conjecture,
    ~ ( ( ( h4(e13) = e23
          | h4(e12) = e23
          | h4(e11) = e23
          | h4(e10) = e23 )
        & ( h4(e13) = e22
          | h4(e12) = e22
          | h4(e11) = e22
          | h4(e10) = e22 )
        & ( h4(e13) = e21
          | h4(e12) = e21
          | h4(e11) = e21
          | h4(e10) = e21 )
        & ( h4(e13) = e20
          | h4(e12) = e20
          | h4(e11) = e20
          | h4(e10) = e20 )
        & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
        & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
        & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
        & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
        & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
        & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
        & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
        & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
        & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
        & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
        & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
        & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
        & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
      | ( ( h3(e13) = e23
          | h3(e12) = e23
          | h3(e11) = e23
          | h3(e10) = e23 )
        & ( h3(e13) = e22
          | h3(e12) = e22
          | h3(e11) = e22
          | h3(e10) = e22 )
        & ( h3(e13) = e21
          | h3(e12) = e21
          | h3(e11) = e21
          | h3(e10) = e21 )
        & ( h3(e13) = e20
          | h3(e12) = e20
          | h3(e11) = e20
          | h3(e10) = e20 )
        & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
        & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
        & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
        & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
        & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
        & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
        & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
        & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
        & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
        & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
        & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
        & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
        & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
        & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
        & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
        & h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
      | ( ( h2(e13) = e23
          | h2(e12) = e23
          | h2(e11) = e23
          | h2(e10) = e23 )
        & ( h2(e13) = e22
          | h2(e12) = e22
          | h2(e11) = e22
          | h2(e10) = e22 )
        & ( h2(e13) = e21
          | h2(e12) = e21
          | h2(e11) = e21
          | h2(e10) = e21 )
        & ( h2(e13) = e20
          | h2(e12) = e20
          | h2(e11) = e20
          | h2(e10) = e20 )
        & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
        & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
        & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
        & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
        & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
        & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
        & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
        & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
        & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
        & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
        & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
        & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
        & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
        & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
        & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
        & h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
      | ( ( h1(e13) = e23
          | h1(e12) = e23
          | h1(e11) = e23
          | h1(e10) = e23 )
        & ( h1(e13) = e22
          | h1(e12) = e22
          | h1(e11) = e22
          | h1(e10) = e22 )
        & ( h1(e13) = e21
          | h1(e12) = e21
          | h1(e11) = e21
          | h1(e10) = e21 )
        & ( h1(e13) = e20
          | h1(e12) = e20
          | h1(e11) = e20
          | h1(e10) = e20 )
        & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
        & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
        & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
        & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
        & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
        & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
        & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
        & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
        & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
        & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
        & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
        & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
        & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
        & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
        & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
        & h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

cnf(c_24,plain,
    ( op1(e11,e11) = e13
    | op1(e11,e11) = e12
    | op1(e11,e11) = e11
    | op1(e11,e11) = e10 ),
    inference(clausify,[status(thm)],[ax1]) ).

cnf(c_29,plain,
    ( op1(e12,e12) = e13
    | op1(e12,e12) = e12
    | op1(e12,e12) = e11
    | op1(e12,e12) = e10 ),
    inference(clausify,[status(thm)],[ax1]) ).

cnf(c_32,plain,
    ( op1(e13,e11) = e13
    | op1(e13,e11) = e12
    | op1(e13,e11) = e11
    | op1(e13,e11) = e10 ),
    inference(clausify,[status(thm)],[ax1]) ).

cnf(c_35,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e12) = e10
    | op1(e10,e11) = e10
    | op1(e10,e10) = e10 ),
    inference(clausify,[status(thm)],[ax2]) ).

cnf(c_36,plain,
    ( op1(e13,e10) = e10
    | op1(e12,e10) = e10
    | op1(e11,e10) = e10
    | op1(e10,e10) = e10 ),
    inference(clausify,[status(thm)],[ax2]) ).

cnf(c_44,plain,
    ( op1(e13,e11) = e10
    | op1(e12,e11) = e10
    | op1(e11,e11) = e10
    | op1(e10,e11) = e10 ),
    inference(clausify,[status(thm)],[ax2]) ).

cnf(c_45,plain,
    ( op1(e11,e13) = e11
    | op1(e11,e12) = e11
    | op1(e11,e11) = e11
    | op1(e11,e10) = e11 ),
    inference(clausify,[status(thm)],[ax2]) ).

cnf(c_46,plain,
    ( op1(e13,e11) = e11
    | op1(e12,e11) = e11
    | op1(e11,e11) = e11
    | op1(e10,e11) = e11 ),
    inference(clausify,[status(thm)],[ax2]) ).

cnf(c_51,plain,
    ( op1(e12,e13) = e10
    | op1(e12,e12) = e10
    | op1(e12,e11) = e10
    | op1(e12,e10) = e10 ),
    inference(clausify,[status(thm)],[ax2]) ).

cnf(c_52,plain,
    ( op1(e13,e12) = e10
    | op1(e12,e12) = e10
    | op1(e11,e12) = e10
    | op1(e10,e12) = e10 ),
    inference(clausify,[status(thm)],[ax2]) ).

cnf(c_55,plain,
    ( op1(e12,e13) = e12
    | op1(e12,e12) = e12
    | op1(e12,e11) = e12
    | op1(e12,e10) = e12 ),
    inference(clausify,[status(thm)],[ax2]) ).

cnf(c_56,plain,
    ( op1(e13,e12) = e12
    | op1(e12,e12) = e12
    | op1(e11,e12) = e12
    | op1(e10,e12) = e12 ),
    inference(clausify,[status(thm)],[ax2]) ).

cnf(c_57,plain,
    ( op1(e12,e13) = e13
    | op1(e12,e12) = e13
    | op1(e12,e11) = e13
    | op1(e12,e10) = e13 ),
    inference(clausify,[status(thm)],[ax2]) ).

cnf(c_62,plain,
    ( op1(e13,e13) = e11
    | op1(e12,e13) = e11
    | op1(e11,e13) = e11
    | op1(e10,e13) = e11 ),
    inference(clausify,[status(thm)],[ax2]) ).

cnf(c_65,plain,
    ( op1(e13,e13) = e13
    | op1(e13,e12) = e13
    | op1(e13,e11) = e13
    | op1(e13,e10) = e13 ),
    inference(clausify,[status(thm)],[ax2]) ).

cnf(c_66,plain,
    ( op1(e13,e13) = e13
    | op1(e12,e13) = e13
    | op1(e11,e13) = e13
    | op1(e10,e13) = e13 ),
    inference(clausify,[status(thm)],[ax2]) ).

cnf(c_72,plain,
    ( op2(e21,e21) = e23
    | op2(e21,e21) = e22
    | op2(e21,e21) = e21
    | op2(e21,e21) = e20 ),
    inference(clausify,[status(thm)],[ax3]) ).

cnf(c_77,plain,
    ( op2(e22,e22) = e23
    | op2(e22,e22) = e22
    | op2(e22,e22) = e21
    | op2(e22,e22) = e20 ),
    inference(clausify,[status(thm)],[ax3]) ).

cnf(c_80,plain,
    ( op2(e23,e21) = e23
    | op2(e23,e21) = e22
    | op2(e23,e21) = e21
    | op2(e23,e21) = e20 ),
    inference(clausify,[status(thm)],[ax3]) ).

cnf(c_82,plain,
    ( op2(e23,e23) = e23
    | op2(e23,e23) = e22
    | op2(e23,e23) = e21
    | op2(e23,e23) = e20 ),
    inference(clausify,[status(thm)],[ax3]) ).

cnf(c_83,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e22) = e20
    | op2(e20,e21) = e20
    | op2(e20,e20) = e20 ),
    inference(clausify,[status(thm)],[ax4]) ).

cnf(c_84,plain,
    ( op2(e23,e20) = e20
    | op2(e22,e20) = e20
    | op2(e21,e20) = e20
    | op2(e20,e20) = e20 ),
    inference(clausify,[status(thm)],[ax4]) ).

cnf(c_92,plain,
    ( op2(e23,e21) = e20
    | op2(e22,e21) = e20
    | op2(e21,e21) = e20
    | op2(e20,e21) = e20 ),
    inference(clausify,[status(thm)],[ax4]) ).

cnf(c_93,plain,
    ( op2(e21,e23) = e21
    | op2(e21,e22) = e21
    | op2(e21,e21) = e21
    | op2(e21,e20) = e21 ),
    inference(clausify,[status(thm)],[ax4]) ).

cnf(c_94,plain,
    ( op2(e23,e21) = e21
    | op2(e22,e21) = e21
    | op2(e21,e21) = e21
    | op2(e20,e21) = e21 ),
    inference(clausify,[status(thm)],[ax4]) ).

cnf(c_99,plain,
    ( op2(e22,e23) = e20
    | op2(e22,e22) = e20
    | op2(e22,e21) = e20
    | op2(e22,e20) = e20 ),
    inference(clausify,[status(thm)],[ax4]) ).

cnf(c_100,plain,
    ( op2(e23,e22) = e20
    | op2(e22,e22) = e20
    | op2(e21,e22) = e20
    | op2(e20,e22) = e20 ),
    inference(clausify,[status(thm)],[ax4]) ).

cnf(c_103,plain,
    ( op2(e22,e23) = e22
    | op2(e22,e22) = e22
    | op2(e22,e21) = e22
    | op2(e22,e20) = e22 ),
    inference(clausify,[status(thm)],[ax4]) ).

cnf(c_104,plain,
    ( op2(e23,e22) = e22
    | op2(e22,e22) = e22
    | op2(e21,e22) = e22
    | op2(e20,e22) = e22 ),
    inference(clausify,[status(thm)],[ax4]) ).

cnf(c_110,plain,
    ( op2(e23,e23) = e21
    | op2(e22,e23) = e21
    | op2(e21,e23) = e21
    | op2(e20,e23) = e21 ),
    inference(clausify,[status(thm)],[ax4]) ).

cnf(c_113,plain,
    ( op2(e23,e23) = e23
    | op2(e23,e22) = e23
    | op2(e23,e21) = e23
    | op2(e23,e20) = e23 ),
    inference(clausify,[status(thm)],[ax4]) ).

cnf(c_114,plain,
    ( op2(e23,e23) = e23
    | op2(e22,e23) = e23
    | op2(e21,e23) = e23
    | op2(e20,e23) = e23 ),
    inference(clausify,[status(thm)],[ax4]) ).

cnf(c_126,plain,
    op1(e12,e11) != op1(e10,e11),
    inference(clausify,[status(thm)],[ax5]) ).

cnf(c_127,plain,
    op1(e10,e11) != op1(e12,e11),
    inference(copy,[status(thm)],[c_126]) ).

cnf(c_130,plain,
    op1(e12,e11) != op1(e11,e11),
    inference(clausify,[status(thm)],[ax5]) ).

cnf(c_131,plain,
    op1(e11,e11) != op1(e12,e11),
    inference(copy,[status(thm)],[c_130]) ).

cnf(c_132,plain,
    op1(e13,e11) != op1(e11,e11),
    inference(clausify,[status(thm)],[ax5]) ).

cnf(c_133,plain,
    op1(e11,e11) != op1(e13,e11),
    inference(copy,[status(thm)],[c_132]) ).

cnf(c_158,plain,
    op1(e10,e13) != op1(e10,e10),
    inference(clausify,[status(thm)],[ax5]) ).

cnf(c_159,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(copy,[status(thm)],[c_158]) ).

cnf(c_165,plain,
    op1(e11,e11) != op1(e11,e10),
    inference(clausify,[status(thm)],[ax5]) ).

cnf(c_166,plain,
    op1(e11,e12) != op1(e11,e10),
    inference(clausify,[status(thm)],[ax5]) ).

cnf(c_167,plain,
    op1(e11,e10) != op1(e11,e12),
    inference(copy,[status(thm)],[c_166]) ).

cnf(c_172,plain,
    op1(e11,e13) != op1(e11,e11),
    inference(clausify,[status(thm)],[ax5]) ).

cnf(c_173,plain,
    op1(e11,e11) != op1(e11,e13),
    inference(copy,[status(thm)],[c_172]) ).

cnf(c_175,plain,
    op1(e12,e11) != op1(e12,e10),
    inference(clausify,[status(thm)],[ax5]) ).

cnf(c_176,plain,
    op1(e12,e12) != op1(e12,e10),
    inference(clausify,[status(thm)],[ax5]) ).

cnf(c_177,plain,
    op1(e12,e10) != op1(e12,e12),
    inference(copy,[status(thm)],[c_176]) ).

cnf(c_178,plain,
    op1(e12,e13) != op1(e12,e10),
    inference(clausify,[status(thm)],[ax5]) ).

cnf(c_179,plain,
    op1(e12,e10) != op1(e12,e13),
    inference(copy,[status(thm)],[c_178]) ).

cnf(c_180,plain,
    op1(e12,e12) != op1(e12,e11),
    inference(clausify,[status(thm)],[ax5]) ).

cnf(c_181,plain,
    op1(e12,e11) != op1(e12,e12),
    inference(copy,[status(thm)],[c_180]) ).

cnf(c_185,plain,
    op1(e13,e11) != op1(e13,e10),
    inference(clausify,[status(thm)],[ax5]) ).

cnf(c_186,plain,
    op1(e13,e12) != op1(e13,e10),
    inference(clausify,[status(thm)],[ax5]) ).

cnf(c_187,plain,
    op1(e13,e10) != op1(e13,e12),
    inference(copy,[status(thm)],[c_186]) ).

cnf(c_188,plain,
    op1(e13,e13) != op1(e13,e10),
    inference(clausify,[status(thm)],[ax5]) ).

cnf(c_189,plain,
    op1(e13,e10) != op1(e13,e13),
    inference(copy,[status(thm)],[c_188]) ).

cnf(c_190,plain,
    op1(e13,e12) != op1(e13,e11),
    inference(clausify,[status(thm)],[ax5]) ).

cnf(c_191,plain,
    op1(e13,e11) != op1(e13,e12),
    inference(copy,[status(thm)],[c_190]) ).

cnf(c_192,plain,
    op1(e13,e13) != op1(e13,e11),
    inference(clausify,[status(thm)],[ax5]) ).

cnf(c_193,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(copy,[status(thm)],[c_192]) ).

cnf(c_206,plain,
    op2(e22,e21) != op2(e20,e21),
    inference(clausify,[status(thm)],[ax6]) ).

cnf(c_207,plain,
    op2(e20,e21) != op2(e22,e21),
    inference(copy,[status(thm)],[c_206]) ).

cnf(c_210,plain,
    op2(e22,e21) != op2(e21,e21),
    inference(clausify,[status(thm)],[ax6]) ).

cnf(c_211,plain,
    op2(e21,e21) != op2(e22,e21),
    inference(copy,[status(thm)],[c_210]) ).

cnf(c_212,plain,
    op2(e23,e21) != op2(e21,e21),
    inference(clausify,[status(thm)],[ax6]) ).

cnf(c_213,plain,
    op2(e21,e21) != op2(e23,e21),
    inference(copy,[status(thm)],[c_212]) ).

cnf(c_224,plain,
    op2(e23,e22) != op2(e22,e22),
    inference(clausify,[status(thm)],[ax6]) ).

cnf(c_238,plain,
    op2(e20,e23) != op2(e20,e20),
    inference(clausify,[status(thm)],[ax6]) ).

cnf(c_239,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(copy,[status(thm)],[c_238]) ).

cnf(c_245,plain,
    op2(e21,e21) != op2(e21,e20),
    inference(clausify,[status(thm)],[ax6]) ).

cnf(c_246,plain,
    op2(e21,e22) != op2(e21,e20),
    inference(clausify,[status(thm)],[ax6]) ).

cnf(c_247,plain,
    op2(e21,e20) != op2(e21,e22),
    inference(copy,[status(thm)],[c_246]) ).

cnf(c_252,plain,
    op2(e21,e23) != op2(e21,e21),
    inference(clausify,[status(thm)],[ax6]) ).

cnf(c_253,plain,
    op2(e21,e21) != op2(e21,e23),
    inference(copy,[status(thm)],[c_252]) ).

cnf(c_255,plain,
    op2(e22,e21) != op2(e22,e20),
    inference(clausify,[status(thm)],[ax6]) ).

cnf(c_256,plain,
    op2(e22,e22) != op2(e22,e20),
    inference(clausify,[status(thm)],[ax6]) ).

cnf(c_257,plain,
    op2(e22,e20) != op2(e22,e22),
    inference(copy,[status(thm)],[c_256]) ).

cnf(c_258,plain,
    op2(e22,e23) != op2(e22,e20),
    inference(clausify,[status(thm)],[ax6]) ).

cnf(c_259,plain,
    op2(e22,e20) != op2(e22,e23),
    inference(copy,[status(thm)],[c_258]) ).

cnf(c_260,plain,
    op2(e22,e22) != op2(e22,e21),
    inference(clausify,[status(thm)],[ax6]) ).

cnf(c_261,plain,
    op2(e22,e21) != op2(e22,e22),
    inference(copy,[status(thm)],[c_260]) ).

cnf(c_265,plain,
    op2(e23,e21) != op2(e23,e20),
    inference(clausify,[status(thm)],[ax6]) ).

cnf(c_266,plain,
    op2(e23,e22) != op2(e23,e20),
    inference(clausify,[status(thm)],[ax6]) ).

cnf(c_267,plain,
    op2(e23,e20) != op2(e23,e22),
    inference(copy,[status(thm)],[c_266]) ).

cnf(c_268,plain,
    op2(e23,e23) != op2(e23,e20),
    inference(clausify,[status(thm)],[ax6]) ).

cnf(c_269,plain,
    op2(e23,e20) != op2(e23,e23),
    inference(copy,[status(thm)],[c_268]) ).

cnf(c_270,plain,
    op2(e23,e22) != op2(e23,e21),
    inference(clausify,[status(thm)],[ax6]) ).

cnf(c_271,plain,
    op2(e23,e21) != op2(e23,e22),
    inference(copy,[status(thm)],[c_270]) ).

cnf(c_272,plain,
    op2(e23,e23) != op2(e23,e21),
    inference(clausify,[status(thm)],[ax6]) ).

cnf(c_273,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(copy,[status(thm)],[c_272]) ).

cnf(c_275,plain,
    e11 != e10,
    inference(clausify,[status(thm)],[ax7]) ).

cnf(c_276,plain,
    e12 != e10,
    inference(clausify,[status(thm)],[ax7]) ).

cnf(c_277,plain,
    e10 != e12,
    inference(copy,[status(thm)],[c_276]) ).

cnf(c_278,plain,
    e13 != e10,
    inference(clausify,[status(thm)],[ax7]) ).

cnf(c_279,plain,
    e10 != e13,
    inference(copy,[status(thm)],[c_278]) ).

cnf(c_280,plain,
    e12 != e11,
    inference(clausify,[status(thm)],[ax7]) ).

cnf(c_281,plain,
    e11 != e12,
    inference(copy,[status(thm)],[c_280]) ).

cnf(c_282,plain,
    e13 != e11,
    inference(clausify,[status(thm)],[ax7]) ).

cnf(c_283,plain,
    e11 != e13,
    inference(copy,[status(thm)],[c_282]) ).

cnf(c_284,plain,
    e13 != e12,
    inference(clausify,[status(thm)],[ax7]) ).

cnf(c_285,plain,
    e21 != e20,
    inference(clausify,[status(thm)],[ax8]) ).

cnf(c_286,plain,
    e22 != e20,
    inference(clausify,[status(thm)],[ax8]) ).

cnf(c_287,plain,
    e20 != e22,
    inference(copy,[status(thm)],[c_286]) ).

cnf(c_288,plain,
    e23 != e20,
    inference(clausify,[status(thm)],[ax8]) ).

cnf(c_289,plain,
    e20 != e23,
    inference(copy,[status(thm)],[c_288]) ).

cnf(c_290,plain,
    e22 != e21,
    inference(clausify,[status(thm)],[ax8]) ).

cnf(c_291,plain,
    e21 != e22,
    inference(copy,[status(thm)],[c_290]) ).

cnf(c_292,plain,
    e23 != e21,
    inference(clausify,[status(thm)],[ax8]) ).

cnf(c_293,plain,
    e21 != e23,
    inference(copy,[status(thm)],[c_292]) ).

cnf(c_294,plain,
    e23 != e22,
    inference(clausify,[status(thm)],[ax8]) ).

cnf(c_323,plain,
    op1(e11,e11) != e11,
    inference(clausify,[status(thm)],[ax10]) ).

cnf(c_324,plain,
    op1(e12,e12) != e12,
    inference(clausify,[status(thm)],[ax10]) ).

cnf(c_325,plain,
    op1(e13,e13) != e13,
    inference(clausify,[status(thm)],[ax10]) ).

fof(def_defn_00,definition,
    ( defn_00
  <=> ( ( op1(e13,e10) = e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e10) = e12
        | op1(e13,e12) != e10 )
      & ( op1(e13,e10) = e11
        | op1(e13,e11) != e10 )
      & ( op1(e12,e10) = e13
        | op1(e12,e13) != e10 )
      & ( op1(e12,e10) = e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e10) = e11
        | op1(e12,e11) != e10 )
      & ( op1(e11,e10) = e13
        | op1(e11,e13) != e10 )
      & ( op1(e11,e10) = e12
        | op1(e11,e12) != e10 )
      & ( op1(e11,e10) = e11
        | op1(e11,e11) != e10 )
      & ( op1(e10,e10) = e13
        | op1(e10,e13) != e10 )
      & ( op1(e10,e10) = e12
        | op1(e10,e12) != e10 )
      & ( op1(e10,e10) = e11
        | op1(e10,e11) != e10 ) ) ),
    introduced(definition,[new_symbols(definition,[defn_00])],[]) ).

fof(def_defn_10,definition,
    ( defn_10
  <=> ( ( op1(e13,e11) = e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e11) = e12
        | op1(e13,e12) != e11 )
      & ( op1(e13,e11) = e10
        | op1(e13,e10) != e11 )
      & ( op1(e12,e11) = e13
        | op1(e12,e13) != e11 )
      & ( op1(e12,e11) = e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e11) = e10
        | op1(e12,e10) != e11 )
      & ( op1(e11,e11) = e13
        | op1(e11,e13) != e11 )
      & ( op1(e11,e11) = e12
        | op1(e11,e12) != e11 )
      & ( op1(e11,e11) = e10
        | op1(e11,e10) != e11 )
      & ( op1(e10,e11) = e13
        | op1(e10,e13) != e11 )
      & ( op1(e10,e11) = e12
        | op1(e10,e12) != e11 )
      & ( op1(e10,e11) = e10
        | op1(e10,e10) != e11 ) ) ),
    introduced(definition,[new_symbols(definition,[defn_10])],[]) ).

cnf(c_419,plain,
    ( op1(e13,e13) = e12
    | op1(e13,e12) != e13
    | op1(e12,e12) = e11
    | op1(e12,e11) != e12
    | defn_10
    | defn_00 ),
    inference(clausify,[status(thm)],[ax10,def_defn_00,def_defn_10]) ).

cnf(c_427,plain,
    ( op1(e12,e13) = e11
    | op1(e12,e11) != e13
    | op1(e12,e12) = e13
    | op1(e12,e13) != e12
    | defn_10
    | defn_00 ),
    inference(clausify,[status(thm)],[ax10,def_defn_00,def_defn_10]) ).

cnf(c_471,plain,
    ( op1(e12,e11) = e10
    | op1(e12,e10) != e11
    | ~ defn_10 ),
    inference(clausify,[status(thm)],[ax10,def_defn_10]) ).

cnf(c_480,plain,
    ( op1(e13,e10) = e11
    | op1(e13,e11) != e10
    | ~ defn_00 ),
    inference(clausify,[status(thm)],[ax10,def_defn_00]) ).

cnf(c_482,plain,
    ( op1(e12,e10) = e12
    | op1(e12,e12) != e10
    | ~ defn_00 ),
    inference(clausify,[status(thm)],[ax10,def_defn_00]) ).

cnf(c_489,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e11) != e10
    | ~ defn_00 ),
    inference(clausify,[status(thm)],[ax10,def_defn_00]) ).

cnf(c_491,plain,
    op2(e21,e21) != e21,
    inference(clausify,[status(thm)],[ax11]) ).

cnf(c_492,plain,
    op2(e22,e22) != e22,
    inference(clausify,[status(thm)],[ax11]) ).

cnf(c_493,plain,
    op2(e23,e23) != e23,
    inference(clausify,[status(thm)],[ax11]) ).

fof(def_defn_20,definition,
    ( defn_20
  <=> ( ( op2(e23,e20) = e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e20) = e22
        | op2(e23,e22) != e20 )
      & ( op2(e23,e20) = e21
        | op2(e23,e21) != e20 )
      & ( op2(e22,e20) = e23
        | op2(e22,e23) != e20 )
      & ( op2(e22,e20) = e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e20) = e21
        | op2(e22,e21) != e20 )
      & ( op2(e21,e20) = e23
        | op2(e21,e23) != e20 )
      & ( op2(e21,e20) = e22
        | op2(e21,e22) != e20 )
      & ( op2(e21,e20) = e21
        | op2(e21,e21) != e20 )
      & ( op2(e20,e20) = e23
        | op2(e20,e23) != e20 )
      & ( op2(e20,e20) = e22
        | op2(e20,e22) != e20 )
      & ( op2(e20,e20) = e21
        | op2(e20,e21) != e20 ) ) ),
    introduced(definition,[new_symbols(definition,[defn_20])],[]) ).

fof(def_defn_30,definition,
    ( defn_30
  <=> ( ( op2(e23,e21) = e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e21) = e22
        | op2(e23,e22) != e21 )
      & ( op2(e23,e21) = e20
        | op2(e23,e20) != e21 )
      & ( op2(e22,e21) = e23
        | op2(e22,e23) != e21 )
      & ( op2(e22,e21) = e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e21) = e20
        | op2(e22,e20) != e21 )
      & ( op2(e21,e21) = e23
        | op2(e21,e23) != e21 )
      & ( op2(e21,e21) = e22
        | op2(e21,e22) != e21 )
      & ( op2(e21,e21) = e20
        | op2(e21,e20) != e21 )
      & ( op2(e20,e21) = e23
        | op2(e20,e23) != e21 )
      & ( op2(e20,e21) = e22
        | op2(e20,e22) != e21 )
      & ( op2(e20,e21) = e20
        | op2(e20,e20) != e21 ) ) ),
    introduced(definition,[new_symbols(definition,[defn_30])],[]) ).

cnf(c_587,plain,
    ( op2(e23,e23) = e22
    | op2(e23,e22) != e23
    | op2(e22,e22) = e21
    | op2(e22,e21) != e22
    | defn_30
    | defn_20 ),
    inference(clausify,[status(thm)],[ax11,def_defn_20,def_defn_30]) ).

cnf(c_610,plain,
    ( op2(e23,e23) = e22
    | op2(e23,e22) != e23
    | op2(e23,e22) = e20
    | op2(e23,e20) != e22
    | defn_30
    | defn_20 ),
    inference(clausify,[status(thm)],[ax11,def_defn_20,def_defn_30]) ).

cnf(c_639,plain,
    ( op2(e22,e21) = e20
    | op2(e22,e20) != e21
    | ~ defn_30 ),
    inference(clausify,[status(thm)],[ax11,def_defn_30]) ).

cnf(c_648,plain,
    ( op2(e23,e20) = e21
    | op2(e23,e21) != e20
    | ~ defn_20 ),
    inference(clausify,[status(thm)],[ax11,def_defn_20]) ).

cnf(c_650,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e22) != e20
    | ~ defn_20 ),
    inference(clausify,[status(thm)],[ax11,def_defn_20]) ).

cnf(c_657,plain,
    ( op2(e20,e20) = e21
    | op2(e20,e21) != e20
    | ~ defn_20 ),
    inference(clausify,[status(thm)],[ax11,def_defn_20]) ).

cnf(c_658,plain,
    op1(op1(op1(e10,e10),e10),e10) = e11,
    inference(clausify,[status(thm)],[ax12]) ).

cnf(c_659,plain,
    op1(op1(e10,e10),e10) = e12,
    inference(clausify,[status(thm)],[ax12]) ).

cnf(c_660,plain,
    op1(e10,e10) = e13,
    inference(clausify,[status(thm)],[ax12]) ).

cnf(c_661,plain,
    op2(op2(op2(e20,e20),e20),e20) = e21,
    inference(clausify,[status(thm)],[ax13]) ).

cnf(c_662,plain,
    op2(op2(e20,e20),e20) = e22,
    inference(clausify,[status(thm)],[ax13]) ).

cnf(c_663,plain,
    op2(e20,e20) = e23,
    inference(clausify,[status(thm)],[ax13]) ).

cnf(c_664,plain,
    h1(e10) = e20,
    inference(clausify,[status(thm)],[ax14]) ).

cnf(c_665,plain,
    h1(e11) = op2(op2(op2(e20,e20),e20),e20),
    inference(clausify,[status(thm)],[ax14]) ).

cnf(c_666,plain,
    h1(e11) = op2(op2(e23,e20),e20),
    inference(paramod,[status(thm)],[c_663,c_665]) ).

cnf(c_667,plain,
    h1(e12) = op2(op2(e20,e20),e20),
    inference(clausify,[status(thm)],[ax14]) ).

cnf(c_668,plain,
    h1(e12) = op2(e23,e20),
    inference(paramod,[status(thm)],[c_663,c_667]) ).

cnf(c_669,plain,
    h1(e13) = op2(e20,e20),
    inference(clausify,[status(thm)],[ax14]) ).

cnf(c_670,plain,
    h1(e13) = e23,
    inference(paramod,[status(thm)],[c_663,c_669]) ).

cnf(c_715,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
    | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
    | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
    | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
    | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
    | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
    | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
    | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
    | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
    | h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
    inference(clausify,[status(thm)],[co1_neg]) ).

cnf(c_3878,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
    | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
    | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
    | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
    | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
    | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
    | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
    | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
    | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
    | h1(e13) != op2(h1(e10),h1(e10)) ),
    inference(paramod,[status(thm)],[c_660,c_715]) ).

cnf(c_3879,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
    | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
    | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
    | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
    | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
    | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
    | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
    | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
    | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
    | e23 != op2(h1(e10),h1(e10)) ),
    inference(paramod,[status(thm)],[c_670,c_3878]) ).

cnf(c_3880,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
    | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
    | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
    | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
    | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
    | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
    | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
    | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
    | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
    | e23 != op2(e20,h1(e10)) ),
    inference(paramod,[status(thm)],[c_664,c_3879]) ).

cnf(c_3881,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
    | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
    | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
    | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
    | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
    | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
    | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
    | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
    | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
    | e23 != op2(e20,e20) ),
    inference(paramod,[status(thm)],[c_664,c_3880]) ).

cnf(c_3882,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
    | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
    | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
    | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
    | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
    | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
    | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
    | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
    | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_663,c_3881]) ).

cnf(c_3883,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
    | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
    | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
    | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
    | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
    | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
    | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
    | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
    | h1(op1(e10,e11)) != op2(e20,h1(e11))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_664,c_3882]) ).

cnf(c_3884,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
    | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
    | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
    | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
    | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
    | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
    | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
    | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_666,c_3883]) ).

cnf(c_3885,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
    | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
    | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
    | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
    | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
    | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
    | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
    | h1(op1(e10,e12)) != op2(e20,h1(e12))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_664,c_3884]) ).

cnf(c_3886,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
    | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
    | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
    | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
    | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
    | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
    | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_668,c_3885]) ).

cnf(c_3887,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
    | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
    | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
    | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
    | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
    | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
    | h1(op1(e10,e13)) != op2(e20,h1(e13))
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_664,c_3886]) ).

cnf(c_3888,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
    | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
    | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
    | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
    | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
    | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_670,c_3887]) ).

cnf(c_3889,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
    | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
    | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
    | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
    | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),h1(e10))
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_666,c_3888]) ).

cnf(c_3890,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
    | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
    | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
    | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
    | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_664,c_3889]) ).

cnf(c_3891,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
    | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
    | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
    | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),h1(e11))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_666,c_3890]) ).

cnf(c_3892,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
    | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
    | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
    | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_666,c_3891]) ).

cnf(c_3893,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
    | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
    | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),h1(e12))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_666,c_3892]) ).

cnf(c_3894,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
    | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
    | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_668,c_3893]) ).

cnf(c_3895,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
    | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),h1(e13))
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_666,c_3894]) ).

cnf(c_3896,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
    | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_670,c_3895]) ).

cnf(c_3897,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),h1(e10))
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_668,c_3896]) ).

cnf(c_3898,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_664,c_3897]) ).

cnf(c_3899,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),h1(e11))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_668,c_3898]) ).

cnf(c_3900,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_666,c_3899]) ).

cnf(c_3901,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e12,e12)) != op2(op2(e23,e20),h1(e12))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_668,c_3900]) ).

cnf(c_3902,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_668,c_3901]) ).

cnf(c_3903,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(op2(e23,e20),h1(e13))
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_668,c_3902]) ).

cnf(c_3904,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_670,c_3903]) ).

cnf(c_3905,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(e23,h1(e10))
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_670,c_3904]) ).

cnf(c_3906,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_664,c_3905]) ).

cnf(c_3907,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(e23,h1(e11))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_670,c_3906]) ).

cnf(c_3908,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_666,c_3907]) ).

cnf(c_3909,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(e23,h1(e12))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_670,c_3908]) ).

cnf(c_3910,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_668,c_3909]) ).

cnf(c_3911,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(e23,h1(e13))
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_670,c_3910]) ).

cnf(c_3912,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | h1(e10) != e20
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_670,c_3911]) ).

cnf(c_3913,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | h1(e11) != e21
    | e20 != e20
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_664,c_3912]) ).

cnf(c_3914,negated_conjecture,
    ( h1(e13) != e23
    | h1(e12) != e22
    | op2(op2(e23,e20),e20) != e21
    | e20 != e20
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_666,c_3913]) ).

cnf(c_3915,negated_conjecture,
    ( h1(e13) != e23
    | op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | e20 != e20
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_668,c_3914]) ).

cnf(c_3916,negated_conjecture,
    ( e23 != e23
    | op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | e20 != e20
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20))
    | e23 != e23 ),
    inference(paramod,[status(thm)],[c_670,c_3915]) ).

cnf(c_3917,negated_conjecture,
    ( e23 != e23
    | op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | e20 != e20
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20)) ),
    inference(copy,[status(thm)],[c_3916]) ).

cnf(c_3918,negated_conjecture,
    ( e23 != e23
    | op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20)) ),
    inference(copy,[status(thm)],[c_3917]) ).

cnf(c_716,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(op2(e23,e20),e20)) ),
    inference(copy,[status(thm)],[c_3918]) ).

cnf(c_3919,plain,
    ( op1(e13,e10) = e10
    | op1(e12,e10) = e10
    | op1(e11,e10) = e10
    | e13 = e10 ),
    inference(paramod,[status(thm)],[c_660,c_36]) ).

cnf(c_3920,plain,
    ( op1(e13,e10) = e10
    | op1(e12,e10) = e10
    | op1(e11,e10) = e10
    | e10 = e13 ),
    inference(copy,[status(thm)],[c_3919]) ).

cnf(c_1800,plain,
    ( op1(e13,e10) = e10
    | op1(e12,e10) = e10
    | op1(e11,e10) = e10 ),
    inference(resolve,[status(thm)],[c_279,c_3920]) ).

cnf(c_3921,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e12) = e10
    | op1(e10,e11) = e10
    | e13 = e10 ),
    inference(paramod,[status(thm)],[c_660,c_35]) ).

cnf(c_3922,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e12) = e10
    | op1(e10,e11) = e10
    | e10 = e13 ),
    inference(copy,[status(thm)],[c_3921]) ).

cnf(c_1801,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e12) = e10
    | op1(e10,e11) = e10 ),
    inference(resolve,[status(thm)],[c_279,c_3922]) ).

cnf(c_1802,plain,
    ( op1(e13,e11) = e11
    | op1(e12,e11) = e11
    | op1(e10,e11) = e11 ),
    inference(resolve,[status(thm)],[c_323,c_46]) ).

cnf(c_1803,plain,
    ( op1(e11,e13) = e11
    | op1(e11,e12) = e11
    | op1(e11,e10) = e11 ),
    inference(resolve,[status(thm)],[c_323,c_45]) ).

cnf(c_1804,plain,
    ( op1(e11,e11) = e13
    | op1(e11,e11) = e12
    | op1(e11,e11) = e10 ),
    inference(resolve,[status(thm)],[c_323,c_24]) ).

cnf(c_1805,plain,
    ( op1(e13,e12) = e12
    | op1(e11,e12) = e12
    | op1(e10,e12) = e12 ),
    inference(resolve,[status(thm)],[c_324,c_56]) ).

cnf(c_1806,plain,
    ( op1(e12,e13) = e12
    | op1(e12,e11) = e12
    | op1(e12,e10) = e12 ),
    inference(resolve,[status(thm)],[c_324,c_55]) ).

cnf(c_1807,plain,
    ( op1(e12,e12) = e13
    | op1(e12,e12) = e11
    | op1(e12,e12) = e10 ),
    inference(resolve,[status(thm)],[c_324,c_29]) ).

cnf(c_1808,plain,
    ( op1(e12,e13) = e13
    | op1(e11,e13) = e13
    | op1(e10,e13) = e13 ),
    inference(resolve,[status(thm)],[c_325,c_66]) ).

cnf(c_1809,plain,
    ( op1(e13,e12) = e13
    | op1(e13,e11) = e13
    | op1(e13,e10) = e13 ),
    inference(resolve,[status(thm)],[c_325,c_65]) ).

cnf(c_3923,plain,
    ( op2(e23,e20) = e20
    | op2(e22,e20) = e20
    | op2(e21,e20) = e20
    | e23 = e20 ),
    inference(paramod,[status(thm)],[c_663,c_84]) ).

cnf(c_3924,plain,
    ( op2(e23,e20) = e20
    | op2(e22,e20) = e20
    | op2(e21,e20) = e20
    | e20 = e23 ),
    inference(copy,[status(thm)],[c_3923]) ).

cnf(c_1811,plain,
    ( op2(e23,e20) = e20
    | op2(e22,e20) = e20
    | op2(e21,e20) = e20 ),
    inference(resolve,[status(thm)],[c_289,c_3924]) ).

cnf(c_3925,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e22) = e20
    | op2(e20,e21) = e20
    | e23 = e20 ),
    inference(paramod,[status(thm)],[c_663,c_83]) ).

cnf(c_3926,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e22) = e20
    | op2(e20,e21) = e20
    | e20 = e23 ),
    inference(copy,[status(thm)],[c_3925]) ).

cnf(c_1812,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e22) = e20
    | op2(e20,e21) = e20 ),
    inference(resolve,[status(thm)],[c_289,c_3926]) ).

cnf(c_1813,plain,
    ( op2(e23,e21) = e21
    | op2(e22,e21) = e21
    | op2(e20,e21) = e21 ),
    inference(resolve,[status(thm)],[c_491,c_94]) ).

cnf(c_1814,plain,
    ( op2(e21,e23) = e21
    | op2(e21,e22) = e21
    | op2(e21,e20) = e21 ),
    inference(resolve,[status(thm)],[c_491,c_93]) ).

cnf(c_1815,plain,
    ( op2(e21,e21) = e23
    | op2(e21,e21) = e22
    | op2(e21,e21) = e20 ),
    inference(resolve,[status(thm)],[c_491,c_72]) ).

cnf(c_1816,plain,
    ( op2(e23,e22) = e22
    | op2(e21,e22) = e22
    | op2(e20,e22) = e22 ),
    inference(resolve,[status(thm)],[c_492,c_104]) ).

cnf(c_1817,plain,
    ( op2(e22,e23) = e22
    | op2(e22,e21) = e22
    | op2(e22,e20) = e22 ),
    inference(resolve,[status(thm)],[c_492,c_103]) ).

cnf(c_1818,plain,
    ( op2(e22,e22) = e23
    | op2(e22,e22) = e21
    | op2(e22,e22) = e20 ),
    inference(resolve,[status(thm)],[c_492,c_77]) ).

cnf(c_1819,plain,
    ( op2(e22,e23) = e23
    | op2(e21,e23) = e23
    | op2(e20,e23) = e23 ),
    inference(resolve,[status(thm)],[c_493,c_114]) ).

cnf(c_1820,plain,
    ( op2(e23,e22) = e23
    | op2(e23,e21) = e23
    | op2(e23,e20) = e23 ),
    inference(resolve,[status(thm)],[c_493,c_113]) ).

cnf(c_1821,plain,
    ( op2(e23,e23) = e22
    | op2(e23,e23) = e21
    | op2(e23,e23) = e20 ),
    inference(resolve,[status(thm)],[c_493,c_82]) ).

cnf(c_1822,plain,
    op1(op1(e13,e10),e10) = e11,
    inference(paramod,[status(thm)],[c_660,c_658]) ).

cnf(c_1823,plain,
    op1(e13,e10) = e12,
    inference(paramod,[status(thm)],[c_660,c_659]) ).

cnf(c_3927,plain,
    ( e13 = e11
    | op1(e10,e11) != e10
    | ~ defn_00 ),
    inference(paramod,[status(thm)],[c_660,c_489]) ).

cnf(c_3928,plain,
    ( e11 = e13
    | op1(e10,e11) != e10
    | ~ defn_00 ),
    inference(copy,[status(thm)],[c_3927]) ).

cnf(c_1824,plain,
    ( op1(e10,e11) != e10
    | ~ defn_00 ),
    inference(resolve,[status(thm)],[c_283,c_3928]) ).

cnf(c_3929,plain,
    e13 != op1(e10,e13),
    inference(paramod,[status(thm)],[c_660,c_159]) ).

cnf(c_1837,plain,
    op1(e10,e13) != e13,
    inference(copy,[status(thm)],[c_3929]) ).

cnf(c_1845,plain,
    op2(op2(e23,e20),e20) = e21,
    inference(paramod,[status(thm)],[c_663,c_661]) ).

cnf(c_1846,plain,
    op2(e23,e20) = e22,
    inference(paramod,[status(thm)],[c_663,c_662]) ).

cnf(c_3930,plain,
    ( e23 = e21
    | op2(e20,e21) != e20
    | ~ defn_20 ),
    inference(paramod,[status(thm)],[c_663,c_657]) ).

cnf(c_3931,plain,
    ( e21 = e23
    | op2(e20,e21) != e20
    | ~ defn_20 ),
    inference(copy,[status(thm)],[c_3930]) ).

cnf(c_1847,plain,
    ( op2(e20,e21) != e20
    | ~ defn_20 ),
    inference(resolve,[status(thm)],[c_293,c_3931]) ).

cnf(c_3932,plain,
    e23 != op2(e20,e23),
    inference(paramod,[status(thm)],[c_663,c_239]) ).

cnf(c_1860,plain,
    op2(e20,e23) != e23,
    inference(copy,[status(thm)],[c_3932]) ).

cnf(c_1868,plain,
    op1(e12,e10) = e11,
    inference(paramod,[status(thm)],[c_1823,c_1822]) ).

cnf(c_3933,plain,
    ( op1(e13,e12) = e13
    | op1(e13,e11) = e13
    | e12 = e13 ),
    inference(paramod,[status(thm)],[c_1823,c_1809]) ).

cnf(c_3934,plain,
    ( op1(e13,e12) = e13
    | op1(e13,e11) = e13
    | e13 = e12 ),
    inference(copy,[status(thm)],[c_3933]) ).

cnf(c_1869,plain,
    ( op1(e13,e12) = e13
    | op1(e13,e11) = e13 ),
    inference(resolve,[status(thm)],[c_284,c_3934]) ).

cnf(c_3935,plain,
    ( op1(e13,e10) = e10
    | e11 = e10
    | op1(e11,e10) = e10 ),
    inference(paramod,[status(thm)],[c_1868,c_1800]) ).

cnf(c_3936,plain,
    ( e12 = e10
    | e11 = e10
    | op1(e11,e10) = e10 ),
    inference(paramod,[status(thm)],[c_1823,c_3935]) ).

cnf(c_3937,plain,
    ( e10 = e12
    | e11 = e10
    | op1(e11,e10) = e10 ),
    inference(copy,[status(thm)],[c_3936]) ).

cnf(c_3938,plain,
    ( e10 = e12
    | op1(e11,e10) = e10 ),
    inference(resolve,[status(thm)],[c_275,c_3937]) ).

cnf(c_1870,plain,
    op1(e11,e10) = e10,
    inference(resolve,[status(thm)],[c_277,c_3938]) ).

cnf(c_3939,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,op2(e23,e20))
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_1846,c_716]) ).

cnf(c_3940,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(op1(e11,e10)) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_1846,c_3939]) ).

cnf(c_3941,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | h1(e10) != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_1870,c_3940]) ).

cnf(c_3942,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | e20 != op2(op2(op2(e23,e20),e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_664,c_3941]) ).

cnf(c_3943,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20))
    | e20 != op2(op2(e22,e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_1846,c_3942]) ).

cnf(c_3944,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(op2(e23,e20),e20))
    | e20 != op2(op2(e22,e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_1846,c_3943]) ).

cnf(c_3945,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(op2(e23,e20),e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | e20 != op2(op2(e22,e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_1846,c_3944]) ).

cnf(c_3946,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),op2(e23,e20))
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | e20 != op2(op2(e22,e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_1846,c_3945]) ).

cnf(c_3947,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(op2(e23,e20),e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | e20 != op2(op2(e22,e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_1846,c_3946]) ).

cnf(c_3948,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(op1(e12,e10)) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | e20 != op2(op2(e22,e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_1846,c_3947]) ).

cnf(c_3949,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | h1(e11) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | e20 != op2(op2(e22,e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_1868,c_3948]) ).

cnf(c_3950,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | op2(op2(e23,e20),e20) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | e20 != op2(op2(e22,e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_666,c_3949]) ).

cnf(c_3951,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | op2(e22,e20) != op2(op2(e23,e20),e20)
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | e20 != op2(op2(e22,e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_1846,c_3950]) ).

cnf(c_3952,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(op2(e23,e20),op2(op2(e23,e20),e20))
    | op2(e22,e20) != op2(e22,e20)
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | e20 != op2(op2(e22,e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_1846,c_3951]) ).

cnf(c_3953,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(e22,op2(op2(e23,e20),e20))
    | op2(e22,e20) != op2(e22,e20)
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | e20 != op2(op2(e22,e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_1846,c_3952]) ).

cnf(c_3954,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(op2(e23,e20),op2(e23,e20))
    | h1(op1(e12,e11)) != op2(e22,op2(e22,e20))
    | op2(e22,e20) != op2(e22,e20)
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | e20 != op2(op2(e22,e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_1846,c_3953]) ).

cnf(c_3955,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(e22,op2(e23,e20))
    | h1(op1(e12,e11)) != op2(e22,op2(e22,e20))
    | op2(e22,e20) != op2(e22,e20)
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | e20 != op2(op2(e22,e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_1846,c_3954]) ).

cnf(c_3956,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(op2(e23,e20),e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,op2(e22,e20))
    | op2(e22,e20) != op2(e22,e20)
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | e20 != op2(op2(e22,e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_1846,c_3955]) ).

cnf(c_3957,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(op1(e13,e10)) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,op2(e22,e20))
    | op2(e22,e20) != op2(e22,e20)
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | e20 != op2(op2(e22,e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_1846,c_3956]) ).

cnf(c_3958,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | h1(e12) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,op2(e22,e20))
    | op2(e22,e20) != op2(e22,e20)
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | e20 != op2(op2(e22,e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_1823,c_3957]) ).

cnf(c_3959,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | op2(e23,e20) != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,op2(e22,e20))
    | op2(e22,e20) != op2(e22,e20)
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | e20 != op2(op2(e22,e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_668,c_3958]) ).

cnf(c_3960,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | e22 != op2(e23,e20)
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,op2(e22,e20))
    | op2(e22,e20) != op2(e22,e20)
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | e20 != op2(op2(e22,e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_1846,c_3959]) ).

cnf(c_3961,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(op2(e23,e20),e20))
    | e22 != e22
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,op2(e22,e20))
    | op2(e22,e20) != op2(e22,e20)
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | e20 != op2(op2(e22,e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_1846,c_3960]) ).

cnf(c_3962,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,op2(e23,e20))
    | h1(op1(e13,e11)) != op2(e23,op2(e22,e20))
    | e22 != e22
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,op2(e22,e20))
    | op2(e22,e20) != op2(e22,e20)
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | e20 != op2(op2(e22,e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_1846,c_3961]) ).

cnf(c_3963,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(op2(e23,e20),e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,op2(e22,e20))
    | e22 != e22
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,op2(e22,e20))
    | op2(e22,e20) != op2(e22,e20)
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | e20 != op2(op2(e22,e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_1846,c_3962]) ).

cnf(c_3964,negated_conjecture,
    ( op2(e23,e20) != e22
    | op2(e22,e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,op2(e22,e20))
    | e22 != e22
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,op2(e22,e20))
    | op2(e22,e20) != op2(e22,e20)
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | e20 != op2(op2(e22,e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_1846,c_3963]) ).

cnf(c_3965,negated_conjecture,
    ( e22 != e22
    | op2(e22,e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,op2(e22,e20))
    | e22 != e22
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,op2(e22,e20))
    | op2(e22,e20) != op2(e22,e20)
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | e20 != op2(op2(e22,e20),e20)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(paramod,[status(thm)],[c_1846,c_3964]) ).

cnf(c_3966,negated_conjecture,
    ( e22 != e22
    | op2(e22,e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,op2(e22,e20))
    | e22 != e22
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,op2(e22,e20))
    | op2(e22,e20) != op2(e22,e20)
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | op2(op2(e22,e20),e20) != e20
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(copy,[status(thm)],[c_3965]) ).

cnf(c_3967,negated_conjecture,
    ( e22 != e22
    | op2(e22,e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,op2(e22,e20))
    | e22 != e22
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,op2(e22,e20))
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | op2(op2(e22,e20),e20) != e20
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(copy,[status(thm)],[c_3966]) ).

cnf(c_3968,negated_conjecture,
    ( e22 != e22
    | op2(e22,e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,op2(e22,e20))
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,op2(e22,e20))
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | op2(op2(e22,e20),e20) != e20
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(copy,[status(thm)],[c_3967]) ).

cnf(c_1952,negated_conjecture,
    ( op2(e22,e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,op2(e22,e20))
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,op2(e22,e20))
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | op2(op2(e22,e20),e20) != e20
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,op2(e22,e20)) ),
    inference(copy,[status(thm)],[c_3968]) ).

cnf(c_3969,plain,
    ( e12 = e11
    | op1(e13,e11) != e10
    | ~ defn_00 ),
    inference(paramod,[status(thm)],[c_1823,c_480]) ).

cnf(c_3970,plain,
    ( e11 = e12
    | op1(e13,e11) != e10
    | ~ defn_00 ),
    inference(copy,[status(thm)],[c_3969]) ).

cnf(c_1953,plain,
    ( op1(e13,e11) != e10
    | ~ defn_00 ),
    inference(resolve,[status(thm)],[c_281,c_3970]) ).

cnf(c_3971,plain,
    e12 != op1(e13,e13),
    inference(paramod,[status(thm)],[c_1823,c_189]) ).

cnf(c_1961,plain,
    op1(e13,e13) != e12,
    inference(copy,[status(thm)],[c_3971]) ).

cnf(c_3972,plain,
    e12 != op1(e13,e12),
    inference(paramod,[status(thm)],[c_1823,c_187]) ).

cnf(c_1962,plain,
    op1(e13,e12) != e12,
    inference(copy,[status(thm)],[c_3972]) ).

cnf(c_1963,plain,
    op1(e13,e11) != e12,
    inference(paramod,[status(thm)],[c_1823,c_185]) ).

cnf(c_1966,plain,
    ( op1(e12,e13) = e13
    | op1(e11,e13) = e13 ),
    inference(resolve,[status(thm)],[c_1837,c_1808]) ).

cnf(c_3973,plain,
    ( op1(e12,e13) = e13
    | op1(e12,e12) = e13
    | op1(e12,e11) = e13
    | e11 = e13 ),
    inference(paramod,[status(thm)],[c_1868,c_57]) ).

cnf(c_1981,plain,
    ( op1(e12,e13) = e13
    | op1(e12,e12) = e13
    | op1(e12,e11) = e13 ),
    inference(resolve,[status(thm)],[c_283,c_3973]) ).

cnf(c_1984,plain,
    h1(e11) = op2(e22,e20),
    inference(paramod,[status(thm)],[c_1846,c_666]) ).

cnf(c_1985,plain,
    op2(e22,e20) = e21,
    inference(paramod,[status(thm)],[c_1846,c_1845]) ).

cnf(c_3974,plain,
    ( op2(e23,e22) = e23
    | op2(e23,e21) = e23
    | e22 = e23 ),
    inference(paramod,[status(thm)],[c_1846,c_1820]) ).

cnf(c_3975,plain,
    ( op2(e23,e22) = e23
    | op2(e23,e21) = e23
    | e23 = e22 ),
    inference(copy,[status(thm)],[c_3974]) ).

cnf(c_1986,plain,
    ( op2(e23,e22) = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[status(thm)],[c_294,c_3975]) ).

cnf(c_3976,plain,
    ( op2(e23,e20) = e20
    | e21 = e20
    | op2(e21,e20) = e20 ),
    inference(paramod,[status(thm)],[c_1985,c_1811]) ).

cnf(c_3977,plain,
    ( e22 = e20
    | e21 = e20
    | op2(e21,e20) = e20 ),
    inference(paramod,[status(thm)],[c_1846,c_3976]) ).

cnf(c_3978,plain,
    ( e20 = e22
    | e21 = e20
    | op2(e21,e20) = e20 ),
    inference(copy,[status(thm)],[c_3977]) ).

cnf(c_3979,plain,
    ( e20 = e22
    | op2(e21,e20) = e20 ),
    inference(resolve,[status(thm)],[c_285,c_3978]) ).

cnf(c_1987,plain,
    op2(e21,e20) = e20,
    inference(resolve,[status(thm)],[c_287,c_3979]) ).

cnf(c_1988,plain,
    h1(e12) = e22,
    inference(paramod,[status(thm)],[c_1846,c_668]) ).

cnf(c_3980,plain,
    ( e22 = e21
    | op2(e23,e21) != e20
    | ~ defn_20 ),
    inference(paramod,[status(thm)],[c_1846,c_648]) ).

cnf(c_3981,plain,
    ( e21 = e22
    | op2(e23,e21) != e20
    | ~ defn_20 ),
    inference(copy,[status(thm)],[c_3980]) ).

cnf(c_1989,plain,
    ( op2(e23,e21) != e20
    | ~ defn_20 ),
    inference(resolve,[status(thm)],[c_291,c_3981]) ).

cnf(c_3982,plain,
    ( op2(e23,e23) = e22
    | op2(e23,e22) != e23
    | op2(e23,e22) = e20
    | e22 != e22
    | defn_30
    | defn_20 ),
    inference(paramod,[status(thm)],[c_1846,c_610]) ).

cnf(c_1991,plain,
    ( op2(e23,e23) = e22
    | op2(e23,e22) != e23
    | op2(e23,e22) = e20
    | defn_30
    | defn_20 ),
    inference(copy,[status(thm)],[c_3982]) ).

cnf(c_3983,plain,
    e22 != op2(e23,e23),
    inference(paramod,[status(thm)],[c_1846,c_269]) ).

cnf(c_1997,plain,
    op2(e23,e23) != e22,
    inference(copy,[status(thm)],[c_3983]) ).

cnf(c_3984,plain,
    e22 != op2(e23,e22),
    inference(paramod,[status(thm)],[c_1846,c_267]) ).

cnf(c_1998,plain,
    op2(e23,e22) != e22,
    inference(copy,[status(thm)],[c_3984]) ).

cnf(c_1999,plain,
    op2(e23,e21) != e22,
    inference(paramod,[status(thm)],[c_1846,c_265]) ).

cnf(c_2002,plain,
    ( op2(e22,e23) = e23
    | op2(e21,e23) = e23 ),
    inference(resolve,[status(thm)],[c_1860,c_1819]) ).

cnf(c_3985,plain,
    ( op1(e12,e13) = e12
    | op1(e12,e11) = e12
    | e11 = e12 ),
    inference(paramod,[status(thm)],[c_1868,c_1806]) ).

cnf(c_2020,plain,
    ( op1(e12,e13) = e12
    | op1(e12,e11) = e12 ),
    inference(resolve,[status(thm)],[c_281,c_3985]) ).

cnf(c_3986,plain,
    ( e11 = e12
    | op1(e12,e12) != e10
    | ~ defn_00 ),
    inference(paramod,[status(thm)],[c_1868,c_482]) ).

cnf(c_2021,plain,
    ( op1(e12,e12) != e10
    | ~ defn_00 ),
    inference(resolve,[status(thm)],[c_281,c_3986]) ).

cnf(c_3987,plain,
    ( op1(e12,e11) = e10
    | e11 != e11
    | ~ defn_10 ),
    inference(paramod,[status(thm)],[c_1868,c_471]) ).

cnf(c_2022,plain,
    ( op1(e12,e11) = e10
    | ~ defn_10 ),
    inference(copy,[status(thm)],[c_3987]) ).

cnf(c_3988,plain,
    e11 != op1(e12,e13),
    inference(paramod,[status(thm)],[c_1868,c_179]) ).

cnf(c_2023,plain,
    op1(e12,e13) != e11,
    inference(copy,[status(thm)],[c_3988]) ).

cnf(c_3989,plain,
    e11 != op1(e12,e12),
    inference(paramod,[status(thm)],[c_1868,c_177]) ).

cnf(c_2024,plain,
    op1(e12,e12) != e11,
    inference(copy,[status(thm)],[c_3989]) ).

cnf(c_2025,plain,
    op1(e12,e11) != e11,
    inference(paramod,[status(thm)],[c_1868,c_175]) ).

cnf(c_3990,plain,
    ( op1(e12,e13) = e10
    | op1(e12,e12) = e10
    | op1(e12,e11) = e10
    | e11 = e10 ),
    inference(paramod,[status(thm)],[c_1868,c_51]) ).

cnf(c_2026,plain,
    ( op1(e12,e13) = e10
    | op1(e12,e12) = e10
    | op1(e12,e11) = e10 ),
    inference(resolve,[status(thm)],[c_275,c_3990]) ).

cnf(c_3991,plain,
    ( op1(e11,e13) = e11
    | op1(e11,e12) = e11
    | e10 = e11 ),
    inference(paramod,[status(thm)],[c_1870,c_1803]) ).

cnf(c_3992,plain,
    ( op1(e11,e13) = e11
    | op1(e11,e12) = e11
    | e11 = e10 ),
    inference(copy,[status(thm)],[c_3991]) ).

cnf(c_2027,plain,
    ( op1(e11,e13) = e11
    | op1(e11,e12) = e11 ),
    inference(resolve,[status(thm)],[c_275,c_3992]) ).

cnf(c_3993,plain,
    e10 != op1(e11,e12),
    inference(paramod,[status(thm)],[c_1870,c_167]) ).

cnf(c_2031,plain,
    op1(e11,e12) != e10,
    inference(copy,[status(thm)],[c_3993]) ).

cnf(c_2032,plain,
    op1(e11,e11) != e10,
    inference(paramod,[status(thm)],[c_1870,c_165]) ).

cnf(c_3994,plain,
    ( op1(e13,e13) = e12
    | op1(e13,e12) != e13
    | op1(e12,e11) != e12
    | defn_10
    | defn_00 ),
    inference(resolve,[status(thm)],[c_2024,c_419]) ).

cnf(c_2037,plain,
    ( op1(e13,e12) != e13
    | op1(e12,e11) != e12
    | defn_10
    | defn_00 ),
    inference(resolve,[status(thm)],[c_1961,c_3994]) ).

cnf(c_2042,plain,
    ( op1(e11,e12) = e12
    | op1(e10,e12) = e12 ),
    inference(resolve,[status(thm)],[c_1962,c_1805]) ).

cnf(c_2046,plain,
    ( op1(e13,e11) = e13
    | op1(e13,e11) = e11
    | op1(e13,e11) = e10 ),
    inference(resolve,[status(thm)],[c_1963,c_32]) ).

cnf(c_2047,plain,
    h1(e11) = e21,
    inference(paramod,[status(thm)],[c_1985,c_1984]) ).

cnf(c_3995,negated_conjecture,
    ( op2(e22,e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,op2(e22,e20))
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,op2(e22,e20))
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | op2(op2(e22,e20),e20) != e20
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21) ),
    inference(paramod,[status(thm)],[c_1985,c_1952]) ).

cnf(c_3996,negated_conjecture,
    ( op2(e22,e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,op2(e22,e20))
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,op2(e22,e20))
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | op2(e21,e20) != e20
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21) ),
    inference(paramod,[status(thm)],[c_1985,c_3995]) ).

cnf(c_3997,negated_conjecture,
    ( op2(e22,e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,op2(e22,e20))
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,op2(e22,e20))
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(op2(e22,e20),op2(e22,e20))
    | e20 != e20
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21) ),
    inference(paramod,[status(thm)],[c_1987,c_3996]) ).

cnf(c_3998,negated_conjecture,
    ( op2(e22,e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,op2(e22,e20))
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,op2(e22,e20))
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(e21,op2(e22,e20))
    | e20 != e20
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21) ),
    inference(paramod,[status(thm)],[c_1985,c_3997]) ).

cnf(c_3999,negated_conjecture,
    ( op2(e22,e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,op2(e22,e20))
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,op2(e22,e20))
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(op2(e22,e20),e22)
    | h1(op1(e11,e11)) != op2(e21,e21)
    | e20 != e20
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21) ),
    inference(paramod,[status(thm)],[c_1985,c_3998]) ).

cnf(c_4000,negated_conjecture,
    ( op2(e22,e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,op2(e22,e20))
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,op2(e22,e20))
    | h1(op1(e11,e13)) != op2(op2(e22,e20),e23)
    | h1(op1(e11,e12)) != op2(e21,e22)
    | h1(op1(e11,e11)) != op2(e21,e21)
    | e20 != e20
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21) ),
    inference(paramod,[status(thm)],[c_1985,c_3999]) ).

cnf(c_4001,negated_conjecture,
    ( op2(e22,e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,op2(e22,e20))
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,op2(e22,e20))
    | h1(op1(e11,e13)) != op2(e21,e23)
    | h1(op1(e11,e12)) != op2(e21,e22)
    | h1(op1(e11,e11)) != op2(e21,e21)
    | e20 != e20
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21) ),
    inference(paramod,[status(thm)],[c_1985,c_4000]) ).

cnf(c_4002,negated_conjecture,
    ( op2(e22,e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,op2(e22,e20))
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e11,e13)) != op2(e21,e23)
    | h1(op1(e11,e12)) != op2(e21,e22)
    | h1(op1(e11,e11)) != op2(e21,e21)
    | e20 != e20
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21) ),
    inference(paramod,[status(thm)],[c_1985,c_4001]) ).

cnf(c_4003,negated_conjecture,
    ( op2(e22,e20) != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e11,e13)) != op2(e21,e23)
    | h1(op1(e11,e12)) != op2(e21,e22)
    | h1(op1(e11,e11)) != op2(e21,e21)
    | e20 != e20
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21) ),
    inference(paramod,[status(thm)],[c_1985,c_4002]) ).

cnf(c_4004,negated_conjecture,
    ( e21 != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e11,e13)) != op2(e21,e23)
    | h1(op1(e11,e12)) != op2(e21,e22)
    | h1(op1(e11,e11)) != op2(e21,e21)
    | e20 != e20
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21) ),
    inference(paramod,[status(thm)],[c_1985,c_4003]) ).

cnf(c_4005,negated_conjecture,
    ( e21 != e21
    | h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e11,e13)) != op2(e21,e23)
    | h1(op1(e11,e12)) != op2(e21,e22)
    | h1(op1(e11,e11)) != op2(e21,e21)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21) ),
    inference(copy,[status(thm)],[c_4004]) ).

cnf(c_2048,negated_conjecture,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e11,e13)) != op2(e21,e23)
    | h1(op1(e11,e12)) != op2(e21,e22)
    | h1(op1(e11,e11)) != op2(e21,e21)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21) ),
    inference(copy,[status(thm)],[c_4005]) ).

cnf(c_4006,plain,
    ( op2(e22,e23) = e22
    | op2(e22,e21) = e22
    | e21 = e22 ),
    inference(paramod,[status(thm)],[c_1985,c_1817]) ).

cnf(c_2049,plain,
    ( op2(e22,e23) = e22
    | op2(e22,e21) = e22 ),
    inference(resolve,[status(thm)],[c_291,c_4006]) ).

cnf(c_4007,plain,
    ( e21 = e22
    | op2(e22,e22) != e20
    | ~ defn_20 ),
    inference(paramod,[status(thm)],[c_1985,c_650]) ).

cnf(c_2050,plain,
    ( op2(e22,e22) != e20
    | ~ defn_20 ),
    inference(resolve,[status(thm)],[c_291,c_4007]) ).

cnf(c_4008,plain,
    ( op2(e22,e21) = e20
    | e21 != e21
    | ~ defn_30 ),
    inference(paramod,[status(thm)],[c_1985,c_639]) ).

cnf(c_2051,plain,
    ( op2(e22,e21) = e20
    | ~ defn_30 ),
    inference(copy,[status(thm)],[c_4008]) ).

cnf(c_4009,plain,
    e21 != op2(e22,e23),
    inference(paramod,[status(thm)],[c_1985,c_259]) ).

cnf(c_2052,plain,
    op2(e22,e23) != e21,
    inference(copy,[status(thm)],[c_4009]) ).

cnf(c_4010,plain,
    e21 != op2(e22,e22),
    inference(paramod,[status(thm)],[c_1985,c_257]) ).

cnf(c_2053,plain,
    op2(e22,e22) != e21,
    inference(copy,[status(thm)],[c_4010]) ).

cnf(c_2054,plain,
    op2(e22,e21) != e21,
    inference(paramod,[status(thm)],[c_1985,c_255]) ).

cnf(c_4011,plain,
    ( op2(e22,e23) = e20
    | op2(e22,e22) = e20
    | op2(e22,e21) = e20
    | e21 = e20 ),
    inference(paramod,[status(thm)],[c_1985,c_99]) ).

cnf(c_2055,plain,
    ( op2(e22,e23) = e20
    | op2(e22,e22) = e20
    | op2(e22,e21) = e20 ),
    inference(resolve,[status(thm)],[c_285,c_4011]) ).

cnf(c_4012,plain,
    ( op2(e21,e23) = e21
    | op2(e21,e22) = e21
    | e20 = e21 ),
    inference(paramod,[status(thm)],[c_1987,c_1814]) ).

cnf(c_4013,plain,
    ( op2(e21,e23) = e21
    | op2(e21,e22) = e21
    | e21 = e20 ),
    inference(copy,[status(thm)],[c_4012]) ).

cnf(c_2056,plain,
    ( op2(e21,e23) = e21
    | op2(e21,e22) = e21 ),
    inference(resolve,[status(thm)],[c_285,c_4013]) ).

cnf(c_4014,plain,
    e20 != op2(e21,e22),
    inference(paramod,[status(thm)],[c_1987,c_247]) ).

cnf(c_2060,plain,
    op2(e21,e22) != e20,
    inference(copy,[status(thm)],[c_4014]) ).

cnf(c_2061,plain,
    op2(e21,e21) != e20,
    inference(paramod,[status(thm)],[c_1987,c_245]) ).

cnf(c_2063,plain,
    ( op2(e23,e22) != e23
    | op2(e23,e22) = e20
    | defn_30
    | defn_20 ),
    inference(resolve,[status(thm)],[c_1997,c_1991]) ).

cnf(c_2064,plain,
    ( op2(e23,e23) = e21
    | op2(e23,e23) = e20 ),
    inference(resolve,[status(thm)],[c_1997,c_1821]) ).

cnf(c_4015,plain,
    ( op2(e23,e23) = e22
    | op2(e23,e22) != e23
    | op2(e22,e21) != e22
    | defn_30
    | defn_20 ),
    inference(resolve,[status(thm)],[c_2053,c_587]) ).

cnf(c_2066,plain,
    ( op2(e23,e22) != e23
    | op2(e22,e21) != e22
    | defn_30
    | defn_20 ),
    inference(resolve,[status(thm)],[c_1997,c_4015]) ).

cnf(c_2071,plain,
    ( op2(e21,e22) = e22
    | op2(e20,e22) = e22 ),
    inference(resolve,[status(thm)],[c_1998,c_1816]) ).

cnf(c_2075,plain,
    ( op2(e23,e21) = e23
    | op2(e23,e21) = e21
    | op2(e23,e21) = e20 ),
    inference(resolve,[status(thm)],[c_1999,c_80]) ).

cnf(c_2078,plain,
    ( op1(e12,e11) != e13
    | op1(e12,e12) = e13
    | op1(e12,e13) != e12
    | defn_10
    | defn_00 ),
    inference(resolve,[status(thm)],[c_2023,c_427]) ).

cnf(c_2083,plain,
    ( op1(e13,e13) = e11
    | op1(e11,e13) = e11
    | op1(e10,e13) = e11 ),
    inference(resolve,[status(thm)],[c_2023,c_62]) ).

cnf(c_2086,plain,
    ( op1(e12,e12) = e13
    | op1(e12,e12) = e10 ),
    inference(resolve,[status(thm)],[c_2024,c_1807]) ).

cnf(c_2092,plain,
    ( op1(e13,e11) = e11
    | op1(e10,e11) = e11 ),
    inference(resolve,[status(thm)],[c_2025,c_1802]) ).

cnf(c_2096,plain,
    ( op1(e13,e12) = e10
    | op1(e12,e12) = e10
    | op1(e10,e12) = e10 ),
    inference(resolve,[status(thm)],[c_2031,c_52]) ).

cnf(c_2098,plain,
    ( op1(e11,e11) = e13
    | op1(e11,e11) = e12 ),
    inference(resolve,[status(thm)],[c_2032,c_1804]) ).

cnf(c_2099,plain,
    ( op1(e13,e11) = e10
    | op1(e12,e11) = e10
    | op1(e10,e11) = e10 ),
    inference(resolve,[status(thm)],[c_2032,c_44]) ).

cnf(c_2107,plain,
    ( op2(e23,e23) = e21
    | op2(e21,e23) = e21
    | op2(e20,e23) = e21 ),
    inference(resolve,[status(thm)],[c_2052,c_110]) ).

cnf(c_2110,plain,
    ( op2(e22,e22) = e23
    | op2(e22,e22) = e20 ),
    inference(resolve,[status(thm)],[c_2053,c_1818]) ).

cnf(c_2116,plain,
    ( op2(e23,e21) = e21
    | op2(e20,e21) = e21 ),
    inference(resolve,[status(thm)],[c_2054,c_1813]) ).

cnf(c_2120,plain,
    ( op2(e23,e22) = e20
    | op2(e22,e22) = e20
    | op2(e20,e22) = e20 ),
    inference(resolve,[status(thm)],[c_2060,c_100]) ).

cnf(c_2122,plain,
    ( op2(e21,e21) = e23
    | op2(e21,e21) = e22 ),
    inference(resolve,[status(thm)],[c_2061,c_1815]) ).

cnf(c_2123,plain,
    ( op2(e23,e21) = e20
    | op2(e22,e21) = e20
    | op2(e20,e21) = e20 ),
    inference(resolve,[status(thm)],[c_2061,c_92]) ).

cnf(c_4016,plain,
    ( e10 != op1(e12,e11)
    | op1(e10,e13) = e10
    | op1(e10,e12) = e10 ),
    inference(paramod,[status(thm)],[c_1801,c_127]) ).

cnf(c_2124,plain,
    ( op1(e12,e11) != e10
    | op1(e10,e13) = e10
    | op1(e10,e12) = e10 ),
    inference(copy,[status(thm)],[c_4016]) ).

cnf(c_4017,plain,
    ( e20 != op2(e22,e21)
    | op2(e20,e23) = e20
    | op2(e20,e22) = e20 ),
    inference(paramod,[status(thm)],[c_1812,c_207]) ).

cnf(c_2126,plain,
    ( op2(e22,e21) != e20
    | op2(e20,e23) = e20
    | op2(e20,e22) = e20 ),
    inference(copy,[status(thm)],[c_4017]) ).

cnf(c_2155,plain,
    ( op1(e11,e11) != e13
    | op1(e13,e12) = e13 ),
    inference(paramod,[status(thm)],[c_1869,c_133]) ).

cnf(c_2163,plain,
    ( op1(e11,e11) != e13
    | op1(e12,e13) = e13 ),
    inference(paramod,[status(thm)],[c_1966,c_173]) ).

cnf(c_2198,plain,
    ( op2(e21,e21) != e23
    | op2(e23,e22) = e23 ),
    inference(paramod,[status(thm)],[c_1986,c_213]) ).

cnf(c_2206,plain,
    ( op2(e21,e21) != e23
    | op2(e22,e23) = e23 ),
    inference(paramod,[status(thm)],[c_2002,c_253]) ).

cnf(c_2245,plain,
    ( op1(e11,e11) != e12
    | op1(e12,e13) = e12 ),
    inference(paramod,[status(thm)],[c_2020,c_131]) ).

cnf(c_4018,plain,
    ( op1(e12,e13) = e13
    | e11 = e13
    | op1(e11,e12) = e11 ),
    inference(paramod,[status(thm)],[c_2027,c_1966]) ).

cnf(c_2253,plain,
    ( op1(e12,e13) = e13
    | op1(e11,e12) = e11 ),
    inference(resolve,[status(thm)],[c_283,c_4018]) ).

cnf(c_4019,plain,
    ( e11 != op1(e13,e13)
    | op1(e13,e11) = e13
    | op1(e13,e11) = e10 ),
    inference(paramod,[status(thm)],[c_2046,c_193]) ).

cnf(c_2292,plain,
    ( op1(e13,e13) != e11
    | op1(e13,e11) = e13
    | op1(e13,e11) = e10 ),
    inference(copy,[status(thm)],[c_4019]) ).

cnf(c_2294,plain,
    ( op2(e21,e21) != e22
    | op2(e22,e23) = e22 ),
    inference(paramod,[status(thm)],[c_2049,c_211]) ).

cnf(c_4020,plain,
    ( op2(e22,e23) = e23
    | e21 = e23
    | op2(e21,e22) = e21 ),
    inference(paramod,[status(thm)],[c_2056,c_2002]) ).

cnf(c_2302,plain,
    ( op2(e22,e23) = e23
    | op2(e21,e22) = e21 ),
    inference(resolve,[status(thm)],[c_293,c_4020]) ).

cnf(c_2314,plain,
    ( op2(e23,e21) != e21
    | op2(e23,e23) = e20 ),
    inference(paramod,[status(thm)],[c_2064,c_273]) ).

cnf(c_4021,plain,
    ( op1(e12,e13) = e13
    | op1(e12,e12) = e13
    | op1(e12,e12) = e13
    | op1(e12,e13) != e12
    | defn_10
    | defn_00 ),
    inference(resolve,[status(thm)],[c_2078,c_1981]) ).

cnf(c_2349,plain,
    ( op1(e12,e13) = e13
    | op1(e12,e12) = e13
    | op1(e12,e13) != e12
    | defn_10
    | defn_00 ),
    inference(copy,[status(thm)],[c_4021]) ).

cnf(c_4022,plain,
    ( op1(e12,e13) = e13
    | e11 = e13
    | op1(e13,e13) = e11
    | op1(e10,e13) = e11 ),
    inference(paramod,[status(thm)],[c_2083,c_1966]) ).

cnf(c_2356,plain,
    ( op1(e12,e13) = e13
    | op1(e13,e13) = e11
    | op1(e10,e13) = e11 ),
    inference(resolve,[status(thm)],[c_283,c_4022]) ).

cnf(c_2365,plain,
    ( op1(e12,e11) != e10
    | op1(e12,e12) = e13 ),
    inference(paramod,[status(thm)],[c_2086,c_181]) ).

cnf(c_4023,plain,
    ( op1(e13,e11) = e11
    | e10 = e11
    | op1(e13,e11) = e10
    | op1(e12,e11) = e10 ),
    inference(paramod,[status(thm)],[c_2099,c_2092]) ).

cnf(c_4024,plain,
    ( op1(e13,e11) = e11
    | e11 = e10
    | op1(e13,e11) = e10
    | op1(e12,e11) = e10 ),
    inference(copy,[status(thm)],[c_4023]) ).

cnf(c_2408,plain,
    ( op1(e13,e11) = e11
    | op1(e13,e11) = e10
    | op1(e12,e11) = e10 ),
    inference(resolve,[status(thm)],[c_275,c_4024]) ).

cnf(c_4025,plain,
    ( op2(e22,e23) = e23
    | e21 = e23
    | op2(e23,e23) = e21
    | op2(e20,e23) = e21 ),
    inference(paramod,[status(thm)],[c_2107,c_2002]) ).

cnf(c_2417,plain,
    ( op2(e22,e23) = e23
    | op2(e23,e23) = e21
    | op2(e20,e23) = e21 ),
    inference(resolve,[status(thm)],[c_293,c_4025]) ).

cnf(c_2425,plain,
    ( op2(e23,e22) != e20
    | op2(e22,e22) = e23 ),
    inference(paramod,[status(thm)],[c_2110,c_224]) ).

cnf(c_2426,plain,
    ( op2(e22,e21) != e20
    | op2(e22,e22) = e23 ),
    inference(paramod,[status(thm)],[c_2110,c_261]) ).

cnf(c_4026,plain,
    ( op2(e23,e21) = e21
    | e20 = e21
    | op2(e23,e21) = e20
    | op2(e22,e21) = e20 ),
    inference(paramod,[status(thm)],[c_2123,c_2116]) ).

cnf(c_4027,plain,
    ( op2(e23,e21) = e21
    | e21 = e20
    | op2(e23,e21) = e20
    | op2(e22,e21) = e20 ),
    inference(copy,[status(thm)],[c_4026]) ).

cnf(c_2473,plain,
    ( op2(e23,e21) = e21
    | op2(e23,e21) = e20
    | op2(e22,e21) = e20 ),
    inference(resolve,[status(thm)],[c_285,c_4027]) ).

cnf(c_2475,plain,
    ( op1(e12,e13) = e10
    | op1(e12,e12) = e10
    | op1(e10,e13) = e10
    | op1(e10,e12) = e10 ),
    inference(resolve,[status(thm)],[c_2124,c_2026]) ).

cnf(c_2476,plain,
    ( op1(e11,e11) = e12
    | op1(e13,e12) = e13 ),
    inference(resolve,[status(thm)],[c_2155,c_2098]) ).

cnf(c_2479,plain,
    ( op1(e11,e11) = e12
    | op1(e12,e13) = e13 ),
    inference(resolve,[status(thm)],[c_2163,c_2098]) ).

cnf(c_2482,plain,
    ( op2(e21,e21) = e22
    | op2(e23,e22) = e23 ),
    inference(resolve,[status(thm)],[c_2198,c_2122]) ).

cnf(c_2485,plain,
    ( op2(e21,e21) = e22
    | op2(e22,e23) = e23 ),
    inference(resolve,[status(thm)],[c_2206,c_2122]) ).

cnf(c_2488,plain,
    ( op2(e22,e23) = e20
    | op2(e22,e22) = e20
    | op2(e20,e23) = e20
    | op2(e20,e22) = e20 ),
    inference(resolve,[status(thm)],[c_2126,c_2055]) ).

cnf(c_4028,plain,
    ( e11 = e12
    | op1(e10,e12) = e12
    | op1(e12,e13) = e13 ),
    inference(paramod,[status(thm)],[c_2253,c_2042]) ).

cnf(c_2497,plain,
    ( op1(e10,e12) = e12
    | op1(e12,e13) = e13 ),
    inference(resolve,[status(thm)],[c_281,c_4028]) ).

cnf(c_4029,plain,
    ( e21 = e22
    | op2(e20,e22) = e22
    | op2(e22,e23) = e23 ),
    inference(paramod,[status(thm)],[c_2302,c_2071]) ).

cnf(c_2512,plain,
    ( op2(e20,e22) = e22
    | op2(e22,e23) = e23 ),
    inference(resolve,[status(thm)],[c_291,c_4029]) ).

cnf(c_2518,plain,
    ( op2(e23,e21) = e23
    | op2(e23,e21) = e20
    | op2(e23,e23) = e20 ),
    inference(resolve,[status(thm)],[c_2314,c_2075]) ).

cnf(c_2538,plain,
    ( op1(e12,e13) = e12
    | op1(e13,e12) = e13 ),
    inference(resolve,[status(thm)],[c_2476,c_2245]) ).

cnf(c_4030,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e11,e13)) != op2(e21,e23)
    | h1(op1(e11,e12)) != op2(e21,e22)
    | h1(e12) != op2(e21,e21)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21)
    | op1(e12,e13) = e13 ),
    inference(paramod,[status(thm)],[c_2479,c_2048]) ).

cnf(c_4031,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e11,e13)) != op2(e21,e23)
    | h1(op1(e11,e12)) != op2(e21,e22)
    | e22 != op2(e21,e21)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21)
    | op1(e12,e13) = e13 ),
    inference(paramod,[status(thm)],[c_1988,c_4030]) ).

cnf(c_2552,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e11,e13)) != op2(e21,e23)
    | h1(op1(e11,e12)) != op2(e21,e22)
    | op2(e21,e21) != e22
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21)
    | op1(e12,e13) = e13 ),
    inference(copy,[status(thm)],[c_4031]) ).

cnf(c_2559,plain,
    ( op2(e22,e23) = e22
    | op2(e23,e22) = e23 ),
    inference(resolve,[status(thm)],[c_2482,c_2294]) ).

cnf(c_4032,plain,
    ( op1(e13,e12) = e10
    | op1(e12,e12) = e10
    | e12 = e10
    | op1(e12,e13) = e13 ),
    inference(paramod,[status(thm)],[c_2497,c_2096]) ).

cnf(c_4033,plain,
    ( op1(e13,e12) = e10
    | op1(e12,e12) = e10
    | e10 = e12
    | op1(e12,e13) = e13 ),
    inference(copy,[status(thm)],[c_4032]) ).

cnf(c_2588,plain,
    ( op1(e13,e12) = e10
    | op1(e12,e12) = e10
    | op1(e12,e13) = e13 ),
    inference(resolve,[status(thm)],[c_277,c_4033]) ).

cnf(c_4034,plain,
    ( op2(e23,e22) = e20
    | op2(e22,e22) = e20
    | e22 = e20
    | op2(e22,e23) = e23 ),
    inference(paramod,[status(thm)],[c_2512,c_2120]) ).

cnf(c_4035,plain,
    ( op2(e23,e22) = e20
    | op2(e22,e22) = e20
    | e20 = e22
    | op2(e22,e23) = e23 ),
    inference(copy,[status(thm)],[c_4034]) ).

cnf(c_2595,plain,
    ( op2(e23,e22) = e20
    | op2(e22,e22) = e20
    | op2(e22,e23) = e23 ),
    inference(resolve,[status(thm)],[c_287,c_4035]) ).

cnf(c_2601,plain,
    ( op1(e12,e11) != e12
    | defn_10
    | defn_00
    | op1(e12,e13) = e12 ),
    inference(resolve,[status(thm)],[c_2538,c_2037]) ).

cnf(c_2618,plain,
    ( op2(e22,e21) != e22
    | defn_30
    | defn_20
    | op2(e22,e23) = e22 ),
    inference(resolve,[status(thm)],[c_2559,c_2066]) ).

cnf(c_4036,plain,
    ( op1(e12,e13) = e12
    | defn_10
    | defn_00
    | op1(e12,e13) = e12 ),
    inference(resolve,[status(thm)],[c_2601,c_2020]) ).

cnf(c_2666,plain,
    ( defn_10
    | defn_00
    | op1(e12,e13) = e12 ),
    inference(copy,[status(thm)],[c_4036]) ).

cnf(c_2668,plain,
    ( op1(e12,e11) = e10
    | defn_00
    | op1(e12,e13) = e12 ),
    inference(resolve,[status(thm)],[c_2666,c_2022]) ).

cnf(c_2674,plain,
    ( op1(e12,e12) != e10
    | op1(e12,e11) = e10
    | op1(e12,e13) = e12 ),
    inference(resolve,[status(thm)],[c_2668,c_2021]) ).

cnf(c_2677,plain,
    ( op1(e13,e11) != e10
    | op1(e12,e11) = e10
    | op1(e12,e13) = e12 ),
    inference(resolve,[status(thm)],[c_2668,c_1953]) ).

cnf(c_2679,plain,
    ( op1(e10,e11) != e10
    | op1(e12,e11) = e10
    | op1(e12,e13) = e12 ),
    inference(resolve,[status(thm)],[c_2668,c_1824]) ).

cnf(c_4037,plain,
    ( op2(e22,e23) = e22
    | defn_30
    | defn_20
    | op2(e22,e23) = e22 ),
    inference(resolve,[status(thm)],[c_2618,c_2049]) ).

cnf(c_2686,plain,
    ( defn_30
    | defn_20
    | op2(e22,e23) = e22 ),
    inference(copy,[status(thm)],[c_4037]) ).

cnf(c_2688,plain,
    ( op2(e22,e21) = e20
    | defn_20
    | op2(e22,e23) = e22 ),
    inference(resolve,[status(thm)],[c_2686,c_2051]) ).

cnf(c_2697,plain,
    ( op2(e23,e21) != e20
    | op2(e22,e21) = e20
    | op2(e22,e23) = e22 ),
    inference(resolve,[status(thm)],[c_2688,c_1989]) ).

cnf(c_2699,plain,
    ( op2(e20,e21) != e20
    | op2(e22,e21) = e20
    | op2(e22,e23) = e22 ),
    inference(resolve,[status(thm)],[c_2688,c_1847]) ).

cnf(c_4038,plain,
    ( op1(e13,e12) = e13
    | e11 = e13
    | op1(e13,e11) = e10
    | op1(e12,e11) = e10 ),
    inference(paramod,[status(thm)],[c_2408,c_1869]) ).

cnf(c_2846,plain,
    ( op1(e13,e12) = e13
    | op1(e13,e11) = e10
    | op1(e12,e11) = e10 ),
    inference(resolve,[status(thm)],[c_283,c_4038]) ).

cnf(c_4039,plain,
    ( op2(e23,e22) = e23
    | e21 = e23
    | op2(e23,e21) = e20
    | op2(e22,e21) = e20 ),
    inference(paramod,[status(thm)],[c_2473,c_1986]) ).

cnf(c_2891,plain,
    ( op2(e23,e22) = e23
    | op2(e23,e21) = e20
    | op2(e22,e21) = e20 ),
    inference(resolve,[status(thm)],[c_293,c_4039]) ).

cnf(c_4040,plain,
    ( e20 != op2(e23,e22)
    | op2(e23,e21) = e23
    | op2(e23,e23) = e20 ),
    inference(paramod,[status(thm)],[c_2518,c_271]) ).

cnf(c_2985,plain,
    ( op2(e23,e22) != e20
    | op2(e23,e21) = e23
    | op2(e23,e23) = e20 ),
    inference(copy,[status(thm)],[c_4040]) ).

cnf(c_3059,plain,
    ( op1(e13,e11) != e10
    | op1(e12,e12) = e10
    | op1(e12,e13) = e13 ),
    inference(paramod,[status(thm)],[c_2588,c_191]) ).

cnf(c_3085,plain,
    ( op1(e12,e12) = e13
    | op1(e12,e11) = e10
    | op1(e12,e13) = e12 ),
    inference(resolve,[status(thm)],[c_2674,c_2086]) ).

cnf(c_4041,plain,
    ( op1(e13,e11) = e10
    | op1(e12,e11) = e10
    | op1(e12,e11) = e10
    | op1(e12,e13) = e12 ),
    inference(resolve,[status(thm)],[c_2679,c_2099]) ).

cnf(c_3090,plain,
    ( op1(e13,e11) = e10
    | op1(e12,e11) = e10
    | op1(e12,e13) = e12 ),
    inference(copy,[status(thm)],[c_4041]) ).

cnf(c_4042,plain,
    ( op2(e23,e21) = e20
    | op2(e22,e21) = e20
    | op2(e22,e21) = e20
    | op2(e22,e23) = e22 ),
    inference(resolve,[status(thm)],[c_2699,c_2123]) ).

cnf(c_3102,plain,
    ( op2(e23,e21) = e20
    | op2(e22,e21) = e20
    | op2(e22,e23) = e22 ),
    inference(copy,[status(thm)],[c_4042]) ).

cnf(c_4043,plain,
    ( op1(e13,e12) = e13
    | e10 = e13
    | op1(e13,e12) = e13
    | op1(e12,e11) = e10 ),
    inference(paramod,[status(thm)],[c_2846,c_1869]) ).

cnf(c_4044,plain,
    ( e10 = e13
    | op1(e13,e12) = e13
    | op1(e12,e11) = e10 ),
    inference(copy,[status(thm)],[c_4043]) ).

cnf(c_3161,plain,
    ( op1(e13,e12) = e13
    | op1(e12,e11) = e10 ),
    inference(resolve,[status(thm)],[c_279,c_4044]) ).

cnf(c_4045,plain,
    ( e13 = e10
    | op1(e12,e12) = e10
    | op1(e12,e13) = e13
    | op1(e12,e11) = e10 ),
    inference(paramod,[status(thm)],[c_3161,c_2588]) ).

cnf(c_4046,plain,
    ( e10 = e13
    | op1(e12,e12) = e10
    | op1(e12,e13) = e13
    | op1(e12,e11) = e10 ),
    inference(copy,[status(thm)],[c_4045]) ).

cnf(c_3171,plain,
    ( op1(e12,e12) = e10
    | op1(e12,e13) = e13
    | op1(e12,e11) = e10 ),
    inference(resolve,[status(thm)],[c_279,c_4046]) ).

cnf(c_4047,plain,
    ( op2(e23,e22) = e23
    | e20 = e23
    | op2(e23,e22) = e23
    | op2(e22,e21) = e20 ),
    inference(paramod,[status(thm)],[c_2891,c_1986]) ).

cnf(c_4048,plain,
    ( e20 = e23
    | op2(e23,e22) = e23
    | op2(e22,e21) = e20 ),
    inference(copy,[status(thm)],[c_4047]) ).

cnf(c_3228,plain,
    ( op2(e23,e22) = e23
    | op2(e22,e21) = e20 ),
    inference(resolve,[status(thm)],[c_289,c_4048]) ).

cnf(c_3233,plain,
    ( op2(e23,e22) = e20
    | defn_30
    | defn_20
    | op2(e22,e21) = e20 ),
    inference(resolve,[status(thm)],[c_3228,c_2063]) ).

cnf(c_4049,plain,
    ( e23 = e20
    | op2(e22,e22) = e20
    | op2(e22,e23) = e23
    | op2(e22,e21) = e20 ),
    inference(paramod,[status(thm)],[c_3228,c_2595]) ).

cnf(c_4050,plain,
    ( e20 = e23
    | op2(e22,e22) = e20
    | op2(e22,e23) = e23
    | op2(e22,e21) = e20 ),
    inference(copy,[status(thm)],[c_4049]) ).

cnf(c_3237,plain,
    ( op2(e22,e22) = e20
    | op2(e22,e23) = e23
    | op2(e22,e21) = e20 ),
    inference(resolve,[status(thm)],[c_289,c_4050]) ).

cnf(c_4051,plain,
    ( op2(e22,e21) = e20
    | op2(e23,e22) = e20
    | defn_20
    | op2(e22,e21) = e20 ),
    inference(resolve,[status(thm)],[c_3233,c_2051]) ).

cnf(c_3241,plain,
    ( op2(e23,e22) = e20
    | defn_20
    | op2(e22,e21) = e20 ),
    inference(copy,[status(thm)],[c_4051]) ).

cnf(c_3242,plain,
    ( op2(e22,e22) != e20
    | op2(e23,e22) = e20
    | op2(e22,e21) = e20 ),
    inference(resolve,[status(thm)],[c_3241,c_2050]) ).

cnf(c_3316,plain,
    ( op2(e22,e22) = e20
    | op2(e22,e23) = e23
    | op2(e23,e21) = e23
    | op2(e23,e23) = e20 ),
    inference(resolve,[status(thm)],[c_2985,c_2595]) ).

cnf(c_4052,plain,
    ( op1(e12,e12) = e13
    | op1(e12,e12) = e13
    | op1(e12,e13) = e12 ),
    inference(resolve,[status(thm)],[c_3085,c_2365]) ).

cnf(c_3390,plain,
    ( op1(e12,e12) = e13
    | op1(e12,e13) = e12 ),
    inference(copy,[status(thm)],[c_4052]) ).

cnf(c_4053,plain,
    ( op1(e12,e13) = e13
    | op1(e12,e12) = e13
    | defn_10
    | defn_00
    | op1(e12,e12) = e13 ),
    inference(resolve,[status(thm)],[c_3390,c_2349]) ).

cnf(c_3392,plain,
    ( op1(e12,e13) = e13
    | defn_10
    | defn_00
    | op1(e12,e12) = e13 ),
    inference(copy,[status(thm)],[c_4053]) ).

cnf(c_3403,plain,
    ( op1(e12,e11) = e10
    | op1(e12,e13) = e13
    | defn_00
    | op1(e12,e12) = e13 ),
    inference(resolve,[status(thm)],[c_3392,c_2022]) ).

cnf(c_4054,plain,
    ( op1(e12,e11) = e10
    | op1(e12,e13) = e12
    | op1(e12,e11) = e10
    | op1(e12,e13) = e12 ),
    inference(resolve,[status(thm)],[c_3090,c_2677]) ).

cnf(c_4055,plain,
    ( op1(e12,e11) = e10
    | op1(e12,e11) = e10
    | op1(e12,e13) = e12 ),
    inference(copy,[status(thm)],[c_4054]) ).

cnf(c_3413,plain,
    ( op1(e12,e11) = e10
    | op1(e12,e13) = e12 ),
    inference(copy,[status(thm)],[c_4055]) ).

cnf(c_4056,plain,
    ( op1(e12,e13) = e12
    | e10 = e12
    | op1(e12,e13) = e12 ),
    inference(paramod,[status(thm)],[c_3413,c_2020]) ).

cnf(c_4057,plain,
    ( e10 = e12
    | op1(e12,e13) = e12 ),
    inference(copy,[status(thm)],[c_4056]) ).

cnf(c_3421,plain,
    op1(e12,e13) = e12,
    inference(resolve,[status(thm)],[c_277,c_4057]) ).

cnf(c_4058,plain,
    ( op1(e12,e11) = e10
    | e12 = e13
    | defn_00
    | op1(e12,e12) = e13 ),
    inference(paramod,[status(thm)],[c_3421,c_3403]) ).

cnf(c_4059,plain,
    ( op1(e12,e11) = e10
    | e13 = e12
    | defn_00
    | op1(e12,e12) = e13 ),
    inference(copy,[status(thm)],[c_4058]) ).

cnf(c_3424,plain,
    ( op1(e12,e11) = e10
    | defn_00
    | op1(e12,e12) = e13 ),
    inference(resolve,[status(thm)],[c_284,c_4059]) ).

cnf(c_4060,plain,
    ( op1(e12,e12) = e10
    | e12 = e13
    | op1(e12,e11) = e10 ),
    inference(paramod,[status(thm)],[c_3421,c_3171]) ).

cnf(c_4061,plain,
    ( op1(e12,e12) = e10
    | e13 = e12
    | op1(e12,e11) = e10 ),
    inference(copy,[status(thm)],[c_4060]) ).

cnf(c_3430,plain,
    ( op1(e12,e12) = e10
    | op1(e12,e11) = e10 ),
    inference(resolve,[status(thm)],[c_284,c_4061]) ).

cnf(c_4062,plain,
    ( op1(e13,e11) != e10
    | op1(e12,e12) = e10
    | e12 = e13 ),
    inference(paramod,[status(thm)],[c_3421,c_3059]) ).

cnf(c_4063,plain,
    ( op1(e13,e11) != e10
    | op1(e12,e12) = e10
    | e13 = e12 ),
    inference(copy,[status(thm)],[c_4062]) ).

cnf(c_3434,plain,
    ( op1(e13,e11) != e10
    | op1(e12,e12) = e10 ),
    inference(resolve,[status(thm)],[c_284,c_4063]) ).

cnf(c_4064,plain,
    ( op1(e13,e12) = e10
    | op1(e12,e12) = e10
    | e12 = e13 ),
    inference(paramod,[status(thm)],[c_3421,c_2588]) ).

cnf(c_4065,plain,
    ( op1(e13,e12) = e10
    | op1(e12,e12) = e10
    | e13 = e12 ),
    inference(copy,[status(thm)],[c_4064]) ).

cnf(c_3448,plain,
    ( op1(e13,e12) = e10
    | op1(e12,e12) = e10 ),
    inference(resolve,[status(thm)],[c_284,c_4065]) ).

cnf(c_4066,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | h1(op1(e12,e13)) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e11,e13)) != op2(e21,e23)
    | h1(op1(e11,e12)) != op2(e21,e22)
    | op2(e21,e21) != e22
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21)
    | e12 = e13 ),
    inference(paramod,[status(thm)],[c_3421,c_2552]) ).

cnf(c_4067,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | h1(e12) != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e11,e13)) != op2(e21,e23)
    | h1(op1(e11,e12)) != op2(e21,e22)
    | op2(e21,e21) != e22
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21)
    | e12 = e13 ),
    inference(paramod,[status(thm)],[c_3421,c_4066]) ).

cnf(c_4068,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | e22 != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e11,e13)) != op2(e21,e23)
    | h1(op1(e11,e12)) != op2(e21,e22)
    | op2(e21,e21) != e22
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21)
    | e12 = e13 ),
    inference(paramod,[status(thm)],[c_1988,c_4067]) ).

cnf(c_4069,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | e22 != op2(e22,e23)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e11,e13)) != op2(e21,e23)
    | h1(op1(e11,e12)) != op2(e21,e22)
    | op2(e21,e21) != e22
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21)
    | e13 = e12 ),
    inference(copy,[status(thm)],[c_4068]) ).

cnf(c_4070,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | op2(e22,e23) != e22
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e11,e13)) != op2(e21,e23)
    | h1(op1(e11,e12)) != op2(e21,e22)
    | op2(e21,e21) != e22
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21)
    | e13 = e12 ),
    inference(copy,[status(thm)],[c_4069]) ).

cnf(c_3453,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | op2(e22,e23) != e22
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e11,e13)) != op2(e21,e23)
    | h1(op1(e11,e12)) != op2(e21,e22)
    | op2(e21,e21) != e22
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e12)) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21) ),
    inference(resolve,[status(thm)],[c_284,c_4070]) ).

cnf(c_4071,plain,
    ( op1(e10,e12) = e12
    | e12 = e13 ),
    inference(paramod,[status(thm)],[c_3421,c_2497]) ).

cnf(c_4072,plain,
    ( op1(e10,e12) = e12
    | e13 = e12 ),
    inference(copy,[status(thm)],[c_4071]) ).

cnf(c_3458,plain,
    op1(e10,e12) = e12,
    inference(resolve,[status(thm)],[c_284,c_4072]) ).

cnf(c_4073,plain,
    ( op1(e12,e13) = e10
    | op1(e12,e12) = e10
    | op1(e10,e13) = e10
    | e12 = e10 ),
    inference(paramod,[status(thm)],[c_3458,c_2475]) ).

cnf(c_4074,plain,
    ( e12 = e10
    | op1(e12,e12) = e10
    | op1(e10,e13) = e10
    | e12 = e10 ),
    inference(paramod,[status(thm)],[c_3421,c_4073]) ).

cnf(c_4075,plain,
    ( e12 = e10
    | op1(e12,e12) = e10
    | op1(e10,e13) = e10
    | e10 = e12 ),
    inference(copy,[status(thm)],[c_4074]) ).

cnf(c_4076,plain,
    ( e10 = e12
    | op1(e12,e12) = e10
    | op1(e10,e13) = e10
    | e10 = e12 ),
    inference(copy,[status(thm)],[c_4075]) ).

cnf(c_4077,plain,
    ( op1(e12,e12) = e10
    | op1(e10,e13) = e10
    | e10 = e12 ),
    inference(copy,[status(thm)],[c_4076]) ).

cnf(c_3464,plain,
    ( op1(e12,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(resolve,[status(thm)],[c_277,c_4077]) ).

cnf(c_4078,plain,
    ( e12 = e13
    | op1(e13,e13) = e11
    | op1(e10,e13) = e11 ),
    inference(paramod,[status(thm)],[c_3421,c_2356]) ).

cnf(c_4079,plain,
    ( e13 = e12
    | op1(e13,e13) = e11
    | op1(e10,e13) = e11 ),
    inference(copy,[status(thm)],[c_4078]) ).

cnf(c_3466,plain,
    ( op1(e13,e13) = e11
    | op1(e10,e13) = e11 ),
    inference(resolve,[status(thm)],[c_284,c_4079]) ).

cnf(c_4080,plain,
    ( e12 = e13
    | op1(e11,e12) = e11 ),
    inference(paramod,[status(thm)],[c_3421,c_2253]) ).

cnf(c_4081,plain,
    ( e13 = e12
    | op1(e11,e12) = e11 ),
    inference(copy,[status(thm)],[c_4080]) ).

cnf(c_3467,plain,
    op1(e11,e12) = e11,
    inference(resolve,[status(thm)],[c_284,c_4081]) ).

cnf(c_4082,plain,
    ( e12 = e13
    | op1(e11,e13) = e13 ),
    inference(paramod,[status(thm)],[c_3421,c_1966]) ).

cnf(c_4083,plain,
    ( e13 = e12
    | op1(e11,e13) = e13 ),
    inference(copy,[status(thm)],[c_4082]) ).

cnf(c_3473,plain,
    op1(e11,e13) = e13,
    inference(resolve,[status(thm)],[c_284,c_4083]) ).

cnf(c_4084,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | op2(e22,e23) != e22
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e11,e13)) != op2(e21,e23)
    | h1(op1(e11,e12)) != op2(e21,e22)
    | op2(e21,e21) != e22
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(e12) != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21) ),
    inference(paramod,[status(thm)],[c_3458,c_3453]) ).

cnf(c_4085,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | op2(e22,e23) != e22
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e11,e13)) != op2(e21,e23)
    | h1(op1(e11,e12)) != op2(e21,e22)
    | op2(e21,e21) != e22
    | h1(op1(e10,e13)) != op2(e20,e23)
    | e22 != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21) ),
    inference(paramod,[status(thm)],[c_1988,c_4084]) ).

cnf(c_4086,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | op2(e22,e23) != e22
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e11,e13)) != op2(e21,e23)
    | h1(e11) != op2(e21,e22)
    | op2(e21,e21) != e22
    | h1(op1(e10,e13)) != op2(e20,e23)
    | e22 != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21) ),
    inference(paramod,[status(thm)],[c_3467,c_4085]) ).

cnf(c_4087,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | op2(e22,e23) != e22
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e11,e13)) != op2(e21,e23)
    | e21 != op2(e21,e22)
    | op2(e21,e21) != e22
    | h1(op1(e10,e13)) != op2(e20,e23)
    | e22 != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21) ),
    inference(paramod,[status(thm)],[c_2047,c_4086]) ).

cnf(c_4088,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | op2(e22,e23) != e22
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(e13) != op2(e21,e23)
    | e21 != op2(e21,e22)
    | op2(e21,e21) != e22
    | h1(op1(e10,e13)) != op2(e20,e23)
    | e22 != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21) ),
    inference(paramod,[status(thm)],[c_3473,c_4087]) ).

cnf(c_4089,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | op2(e22,e23) != e22
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | e23 != op2(e21,e23)
    | e21 != op2(e21,e22)
    | op2(e21,e21) != e22
    | h1(op1(e10,e13)) != op2(e20,e23)
    | e22 != op2(e20,e22)
    | h1(op1(e10,e11)) != op2(e20,e21) ),
    inference(paramod,[status(thm)],[c_670,c_4088]) ).

cnf(c_4090,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | op2(e22,e23) != e22
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | e23 != op2(e21,e23)
    | e21 != op2(e21,e22)
    | op2(e21,e21) != e22
    | h1(op1(e10,e13)) != op2(e20,e23)
    | op2(e20,e22) != e22
    | h1(op1(e10,e11)) != op2(e20,e21) ),
    inference(copy,[status(thm)],[c_4089]) ).

cnf(c_4091,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | op2(e22,e23) != e22
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | e23 != op2(e21,e23)
    | op2(e21,e22) != e21
    | op2(e21,e21) != e22
    | h1(op1(e10,e13)) != op2(e20,e23)
    | op2(e20,e22) != e22
    | h1(op1(e10,e11)) != op2(e20,e21) ),
    inference(copy,[status(thm)],[c_4090]) ).

cnf(c_3492,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | op2(e22,e23) != e22
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | op2(e21,e23) != e23
    | op2(e21,e22) != e21
    | op2(e21,e21) != e22
    | h1(op1(e10,e13)) != op2(e20,e23)
    | op2(e20,e22) != e22
    | h1(op1(e10,e11)) != op2(e20,e21) ),
    inference(copy,[status(thm)],[c_4091]) ).

cnf(c_3512,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | op2(e22,e23) != e22
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | op2(e21,e23) != e23
    | op2(e21,e22) != e21
    | op2(e21,e21) != e22
    | h1(op1(e10,e13)) != op2(e20,e23)
    | op2(e20,e22) != e22
    | h1(op1(e10,e11)) != e21
    | op2(e23,e21) = e21 ),
    inference(paramod,[status(thm)],[c_2116,c_3492]) ).

cnf(c_4092,plain,
    ( op1(e12,e12) = e10
    | e11 = e10
    | op1(e13,e13) = e11 ),
    inference(paramod,[status(thm)],[c_3466,c_3464]) ).

cnf(c_3524,plain,
    ( op1(e12,e12) = e10
    | op1(e13,e13) = e11 ),
    inference(resolve,[status(thm)],[c_275,c_4092]) ).

cnf(c_3560,plain,
    ( op1(e13,e11) = e13
    | op1(e13,e11) = e10
    | op1(e12,e12) = e10 ),
    inference(resolve,[status(thm)],[c_3524,c_2292]) ).

cnf(c_4093,plain,
    ( op2(e22,e23) = e23
    | op2(e23,e23) = e21
    | e20 = e21
    | op2(e22,e23) = e20
    | op2(e22,e22) = e20
    | op2(e20,e22) = e20 ),
    inference(paramod,[status(thm)],[c_2488,c_2417]) ).

cnf(c_4094,plain,
    ( op2(e22,e23) = e23
    | op2(e23,e23) = e21
    | e21 = e20
    | op2(e22,e23) = e20
    | op2(e22,e22) = e20
    | op2(e20,e22) = e20 ),
    inference(copy,[status(thm)],[c_4093]) ).

cnf(c_3566,plain,
    ( op2(e22,e23) = e23
    | op2(e23,e23) = e21
    | op2(e22,e23) = e20
    | op2(e22,e22) = e20
    | op2(e20,e22) = e20 ),
    inference(resolve,[status(thm)],[c_285,c_4094]) ).

cnf(c_3569,plain,
    ( op1(e12,e12) != e10
    | op1(e12,e11) = e10
    | op1(e12,e12) = e13 ),
    inference(resolve,[status(thm)],[c_3424,c_2021]) ).

cnf(c_4095,plain,
    ( op2(e22,e21) = e20
    | op2(e22,e23) = e22
    | op2(e22,e21) = e20
    | op2(e22,e23) = e22 ),
    inference(resolve,[status(thm)],[c_3102,c_2697]) ).

cnf(c_4096,plain,
    ( op2(e22,e21) = e20
    | op2(e22,e21) = e20
    | op2(e22,e23) = e22 ),
    inference(copy,[status(thm)],[c_4095]) ).

cnf(c_3611,plain,
    ( op2(e22,e21) = e20
    | op2(e22,e23) = e22 ),
    inference(copy,[status(thm)],[c_4096]) ).

cnf(c_4097,plain,
    ( op2(e22,e23) = e22
    | e20 = e22
    | op2(e22,e23) = e22 ),
    inference(paramod,[status(thm)],[c_3611,c_2049]) ).

cnf(c_4098,plain,
    ( e20 = e22
    | op2(e22,e23) = e22 ),
    inference(copy,[status(thm)],[c_4097]) ).

cnf(c_3619,plain,
    op2(e22,e23) = e22,
    inference(resolve,[status(thm)],[c_287,c_4098]) ).

cnf(c_4099,plain,
    ( op2(e22,e23) = e23
    | op2(e23,e23) = e21
    | e22 = e20
    | op2(e22,e22) = e20
    | op2(e20,e22) = e20 ),
    inference(paramod,[status(thm)],[c_3619,c_3566]) ).

cnf(c_4100,plain,
    ( e22 = e23
    | op2(e23,e23) = e21
    | e22 = e20
    | op2(e22,e22) = e20
    | op2(e20,e22) = e20 ),
    inference(paramod,[status(thm)],[c_3619,c_4099]) ).

cnf(c_4101,plain,
    ( e22 = e23
    | op2(e23,e23) = e21
    | e20 = e22
    | op2(e22,e22) = e20
    | op2(e20,e22) = e20 ),
    inference(copy,[status(thm)],[c_4100]) ).

cnf(c_4102,plain,
    ( e23 = e22
    | op2(e23,e23) = e21
    | e20 = e22
    | op2(e22,e22) = e20
    | op2(e20,e22) = e20 ),
    inference(copy,[status(thm)],[c_4101]) ).

cnf(c_4103,plain,
    ( e23 = e22
    | op2(e23,e23) = e21
    | op2(e22,e22) = e20
    | op2(e20,e22) = e20 ),
    inference(resolve,[status(thm)],[c_287,c_4102]) ).

cnf(c_3624,plain,
    ( op2(e23,e23) = e21
    | op2(e22,e22) = e20
    | op2(e20,e22) = e20 ),
    inference(resolve,[status(thm)],[c_294,c_4103]) ).

cnf(c_4104,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | e22 != e22
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | op2(e21,e23) != e23
    | op2(e21,e22) != e21
    | op2(e21,e21) != e22
    | h1(op1(e10,e13)) != op2(e20,e23)
    | op2(e20,e22) != e22
    | h1(op1(e10,e11)) != e21
    | op2(e23,e21) = e21 ),
    inference(paramod,[status(thm)],[c_3619,c_3512]) ).

cnf(c_3633,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | op2(e21,e23) != e23
    | op2(e21,e22) != e21
    | op2(e21,e21) != e22
    | h1(op1(e10,e13)) != op2(e20,e23)
    | op2(e20,e22) != e22
    | h1(op1(e10,e11)) != e21
    | op2(e23,e21) = e21 ),
    inference(copy,[status(thm)],[c_4104]) ).

cnf(c_4105,plain,
    ( op2(e22,e22) = e20
    | e22 = e23
    | op2(e23,e21) = e23
    | op2(e23,e23) = e20 ),
    inference(paramod,[status(thm)],[c_3619,c_3316]) ).

cnf(c_4106,plain,
    ( op2(e22,e22) = e20
    | e23 = e22
    | op2(e23,e21) = e23
    | op2(e23,e23) = e20 ),
    inference(copy,[status(thm)],[c_4105]) ).

cnf(c_3640,plain,
    ( op2(e22,e22) = e20
    | op2(e23,e21) = e23
    | op2(e23,e23) = e20 ),
    inference(resolve,[status(thm)],[c_294,c_4106]) ).

cnf(c_4107,plain,
    ( op2(e22,e22) = e20
    | e22 = e23
    | op2(e22,e21) = e20 ),
    inference(paramod,[status(thm)],[c_3619,c_3237]) ).

cnf(c_4108,plain,
    ( op2(e22,e22) = e20
    | e23 = e22
    | op2(e22,e21) = e20 ),
    inference(copy,[status(thm)],[c_4107]) ).

cnf(c_3644,plain,
    ( op2(e22,e22) = e20
    | op2(e22,e21) = e20 ),
    inference(resolve,[status(thm)],[c_294,c_4108]) ).

cnf(c_4109,plain,
    ( op2(e23,e22) = e20
    | op2(e22,e22) = e20
    | e22 = e23 ),
    inference(paramod,[status(thm)],[c_3619,c_2595]) ).

cnf(c_4110,plain,
    ( op2(e23,e22) = e20
    | op2(e22,e22) = e20
    | e23 = e22 ),
    inference(copy,[status(thm)],[c_4109]) ).

cnf(c_3672,plain,
    ( op2(e23,e22) = e20
    | op2(e22,e22) = e20 ),
    inference(resolve,[status(thm)],[c_294,c_4110]) ).

cnf(c_4111,plain,
    ( op2(e20,e22) = e22
    | e22 = e23 ),
    inference(paramod,[status(thm)],[c_3619,c_2512]) ).

cnf(c_4112,plain,
    ( op2(e20,e22) = e22
    | e23 = e22 ),
    inference(copy,[status(thm)],[c_4111]) ).

cnf(c_3680,plain,
    op2(e20,e22) = e22,
    inference(resolve,[status(thm)],[c_294,c_4112]) ).

cnf(c_4113,plain,
    ( op2(e22,e23) = e20
    | op2(e22,e22) = e20
    | op2(e20,e23) = e20
    | e22 = e20 ),
    inference(paramod,[status(thm)],[c_3680,c_2488]) ).

cnf(c_4114,plain,
    ( e22 = e20
    | op2(e22,e22) = e20
    | op2(e20,e23) = e20
    | e22 = e20 ),
    inference(paramod,[status(thm)],[c_3619,c_4113]) ).

cnf(c_4115,plain,
    ( e22 = e20
    | op2(e22,e22) = e20
    | op2(e20,e23) = e20
    | e20 = e22 ),
    inference(copy,[status(thm)],[c_4114]) ).

cnf(c_4116,plain,
    ( e20 = e22
    | op2(e22,e22) = e20
    | op2(e20,e23) = e20
    | e20 = e22 ),
    inference(copy,[status(thm)],[c_4115]) ).

cnf(c_4117,plain,
    ( op2(e22,e22) = e20
    | op2(e20,e23) = e20
    | e20 = e22 ),
    inference(copy,[status(thm)],[c_4116]) ).

cnf(c_3683,plain,
    ( op2(e22,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(resolve,[status(thm)],[c_287,c_4117]) ).

cnf(c_4118,plain,
    ( op2(e21,e21) = e22
    | e22 = e23 ),
    inference(paramod,[status(thm)],[c_3619,c_2485]) ).

cnf(c_4119,plain,
    ( op2(e21,e21) = e22
    | e23 = e22 ),
    inference(copy,[status(thm)],[c_4118]) ).

cnf(c_3685,plain,
    op2(e21,e21) = e22,
    inference(resolve,[status(thm)],[c_294,c_4119]) ).

cnf(c_4120,plain,
    ( e22 = e23
    | op2(e21,e22) = e21 ),
    inference(paramod,[status(thm)],[c_3619,c_2302]) ).

cnf(c_4121,plain,
    ( e23 = e22
    | op2(e21,e22) = e21 ),
    inference(copy,[status(thm)],[c_4120]) ).

cnf(c_3689,plain,
    op2(e21,e22) = e21,
    inference(resolve,[status(thm)],[c_294,c_4121]) ).

cnf(c_4122,plain,
    ( e22 = e23
    | op2(e21,e23) = e23 ),
    inference(paramod,[status(thm)],[c_3619,c_2002]) ).

cnf(c_4123,plain,
    ( e23 = e22
    | op2(e21,e23) = e23 ),
    inference(copy,[status(thm)],[c_4122]) ).

cnf(c_3694,plain,
    op2(e21,e23) = e23,
    inference(resolve,[status(thm)],[c_294,c_4123]) ).

cnf(c_4124,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | op2(e21,e23) != e23
    | op2(e21,e22) != e21
    | op2(e21,e21) != e22
    | h1(op1(e10,e13)) != op2(e20,e23)
    | e22 != e22
    | h1(op1(e10,e11)) != e21
    | op2(e23,e21) = e21 ),
    inference(paramod,[status(thm)],[c_3680,c_3633]) ).

cnf(c_4125,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | op2(e21,e23) != e23
    | op2(e21,e22) != e21
    | e22 != e22
    | h1(op1(e10,e13)) != op2(e20,e23)
    | e22 != e22
    | h1(op1(e10,e11)) != e21
    | op2(e23,e21) = e21 ),
    inference(paramod,[status(thm)],[c_3685,c_4124]) ).

cnf(c_4126,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | op2(e21,e23) != e23
    | e21 != e21
    | e22 != e22
    | h1(op1(e10,e13)) != op2(e20,e23)
    | e22 != e22
    | h1(op1(e10,e11)) != e21
    | op2(e23,e21) = e21 ),
    inference(paramod,[status(thm)],[c_3689,c_4125]) ).

cnf(c_4127,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | e23 != e23
    | e21 != e21
    | e22 != e22
    | h1(op1(e10,e13)) != op2(e20,e23)
    | e22 != e22
    | h1(op1(e10,e11)) != e21
    | op2(e23,e21) = e21 ),
    inference(paramod,[status(thm)],[c_3694,c_4126]) ).

cnf(c_4128,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | e23 != e23
    | e21 != e21
    | e22 != e22
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e11)) != e21
    | op2(e23,e21) = e21 ),
    inference(copy,[status(thm)],[c_4127]) ).

cnf(c_4129,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | e23 != e23
    | e21 != e21
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e11)) != e21
    | op2(e23,e21) = e21 ),
    inference(copy,[status(thm)],[c_4128]) ).

cnf(c_4130,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | e23 != e23
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e11)) != e21
    | op2(e23,e21) = e21 ),
    inference(copy,[status(thm)],[c_4129]) ).

cnf(c_3725,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | h1(op1(e12,e12)) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e11)) != e21
    | op2(e23,e21) = e21 ),
    inference(copy,[status(thm)],[c_4130]) ).

cnf(c_4131,plain,
    ( op2(e23,e23) = e21
    | op2(e22,e22) = e20
    | e22 = e20 ),
    inference(paramod,[status(thm)],[c_3680,c_3624]) ).

cnf(c_4132,plain,
    ( op2(e23,e23) = e21
    | op2(e22,e22) = e20
    | e20 = e22 ),
    inference(copy,[status(thm)],[c_4131]) ).

cnf(c_3731,plain,
    ( op2(e23,e23) = e21
    | op2(e22,e22) = e20 ),
    inference(resolve,[status(thm)],[c_287,c_4132]) ).

cnf(c_3752,plain,
    ( op2(e22,e22) = e23
    | op2(e23,e22) = e20
    | op2(e22,e21) = e20 ),
    inference(resolve,[status(thm)],[c_3242,c_2110]) ).

cnf(c_4133,plain,
    ( op1(e12,e12) = e10
    | op1(e13,e11) = e13
    | op1(e12,e12) = e10 ),
    inference(resolve,[status(thm)],[c_3560,c_3434]) ).

cnf(c_3777,plain,
    ( op1(e13,e11) = e13
    | op1(e12,e12) = e10 ),
    inference(copy,[status(thm)],[c_4133]) ).

cnf(c_4134,plain,
    ( op1(e12,e12) = e13
    | op1(e12,e11) = e10
    | op1(e12,e12) = e13 ),
    inference(resolve,[status(thm)],[c_3569,c_2086]) ).

cnf(c_3784,plain,
    ( op1(e12,e11) = e10
    | op1(e12,e12) = e13 ),
    inference(copy,[status(thm)],[c_4134]) ).

cnf(c_4135,plain,
    ( op1(e12,e12) = e13
    | op1(e12,e12) = e13 ),
    inference(resolve,[status(thm)],[c_3784,c_2365]) ).

cnf(c_3788,plain,
    op1(e12,e12) = e13,
    inference(copy,[status(thm)],[c_4135]) ).

cnf(c_4136,plain,
    ( op1(e13,e11) = e13
    | e13 = e10 ),
    inference(paramod,[status(thm)],[c_3788,c_3777]) ).

cnf(c_4137,plain,
    ( op1(e13,e11) = e13
    | e10 = e13 ),
    inference(copy,[status(thm)],[c_4136]) ).

cnf(c_3791,plain,
    op1(e13,e11) = e13,
    inference(resolve,[status(thm)],[c_279,c_4137]) ).

cnf(c_4138,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | h1(e13) != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e11)) != e21
    | op2(e23,e21) = e21 ),
    inference(paramod,[status(thm)],[c_3788,c_3725]) ).

cnf(c_4139,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(op1(e13,e11)) != op2(e23,e21)
    | e23 != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e11)) != e21
    | op2(e23,e21) = e21 ),
    inference(paramod,[status(thm)],[c_670,c_4138]) ).

cnf(c_4140,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | h1(e13) != op2(e23,e21)
    | e23 != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e11)) != e21
    | op2(e23,e21) = e21 ),
    inference(paramod,[status(thm)],[c_3791,c_4139]) ).

cnf(c_4141,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | e23 != op2(e23,e21)
    | e23 != op2(e22,e22)
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e11)) != e21
    | op2(e23,e21) = e21 ),
    inference(paramod,[status(thm)],[c_670,c_4140]) ).

cnf(c_4142,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | e23 != op2(e23,e21)
    | op2(e22,e22) != e23
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e11)) != e21
    | op2(e23,e21) = e21 ),
    inference(copy,[status(thm)],[c_4141]) ).

cnf(c_3797,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | op2(e23,e21) != e23
    | op2(e22,e22) != e23
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(op1(e10,e11)) != e21
    | op2(e23,e21) = e21 ),
    inference(copy,[status(thm)],[c_4142]) ).

cnf(c_4143,plain,
    ( e13 = e10
    | op1(e13,e13) = e11 ),
    inference(paramod,[status(thm)],[c_3788,c_3524]) ).

cnf(c_4144,plain,
    ( e10 = e13
    | op1(e13,e13) = e11 ),
    inference(copy,[status(thm)],[c_4143]) ).

cnf(c_3805,plain,
    op1(e13,e13) = e11,
    inference(resolve,[status(thm)],[c_279,c_4144]) ).

cnf(c_4145,plain,
    ( e13 = e10
    | op1(e10,e13) = e10 ),
    inference(paramod,[status(thm)],[c_3788,c_3464]) ).

cnf(c_4146,plain,
    ( e10 = e13
    | op1(e10,e13) = e10 ),
    inference(copy,[status(thm)],[c_4145]) ).

cnf(c_3807,plain,
    op1(e10,e13) = e10,
    inference(resolve,[status(thm)],[c_279,c_4146]) ).

cnf(c_4147,plain,
    ( op1(e13,e12) = e10
    | e13 = e10 ),
    inference(paramod,[status(thm)],[c_3788,c_3448]) ).

cnf(c_4148,plain,
    ( op1(e13,e12) = e10
    | e10 = e13 ),
    inference(copy,[status(thm)],[c_4147]) ).

cnf(c_3808,plain,
    op1(e13,e12) = e10,
    inference(resolve,[status(thm)],[c_279,c_4148]) ).

cnf(c_4149,plain,
    ( e13 = e10
    | op1(e12,e11) = e10 ),
    inference(paramod,[status(thm)],[c_3788,c_3430]) ).

cnf(c_4150,plain,
    ( e10 = e13
    | op1(e12,e11) = e10 ),
    inference(copy,[status(thm)],[c_4149]) ).

cnf(c_3809,plain,
    op1(e12,e11) = e10,
    inference(resolve,[status(thm)],[c_279,c_4150]) ).

cnf(c_4151,plain,
    ( e13 = e11
    | op1(e10,e11) = e11 ),
    inference(paramod,[status(thm)],[c_3791,c_2092]) ).

cnf(c_4152,plain,
    ( e11 = e13
    | op1(e10,e11) = e11 ),
    inference(copy,[status(thm)],[c_4151]) ).

cnf(c_3810,plain,
    op1(e10,e11) = e11,
    inference(resolve,[status(thm)],[c_283,c_4152]) ).

cnf(c_4153,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | op2(e23,e21) != e23
    | op2(e22,e22) != e23
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | h1(e11) != e21
    | op2(e23,e21) = e21 ),
    inference(paramod,[status(thm)],[c_3810,c_3797]) ).

cnf(c_4154,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | op2(e23,e21) != e23
    | op2(e22,e22) != e23
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(op1(e10,e13)) != op2(e20,e23)
    | e21 != e21
    | op2(e23,e21) = e21 ),
    inference(paramod,[status(thm)],[c_2047,c_4153]) ).

cnf(c_4155,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | op2(e23,e21) != e23
    | op2(e22,e22) != e23
    | h1(op1(e12,e11)) != op2(e22,e21)
    | h1(e10) != op2(e20,e23)
    | e21 != e21
    | op2(e23,e21) = e21 ),
    inference(paramod,[status(thm)],[c_3807,c_4154]) ).

cnf(c_4156,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | op2(e23,e21) != e23
    | op2(e22,e22) != e23
    | h1(op1(e12,e11)) != op2(e22,e21)
    | e20 != op2(e20,e23)
    | e21 != e21
    | op2(e23,e21) = e21 ),
    inference(paramod,[status(thm)],[c_664,c_4155]) ).

cnf(c_4157,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | op2(e23,e21) != e23
    | op2(e22,e22) != e23
    | h1(e10) != op2(e22,e21)
    | e20 != op2(e20,e23)
    | e21 != e21
    | op2(e23,e21) = e21 ),
    inference(paramod,[status(thm)],[c_3809,c_4156]) ).

cnf(c_4158,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(op1(e13,e12)) != op2(e23,e22)
    | op2(e23,e21) != e23
    | op2(e22,e22) != e23
    | e20 != op2(e22,e21)
    | e20 != op2(e20,e23)
    | e21 != e21
    | op2(e23,e21) = e21 ),
    inference(paramod,[status(thm)],[c_664,c_4157]) ).

cnf(c_4159,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | h1(e10) != op2(e23,e22)
    | op2(e23,e21) != e23
    | op2(e22,e22) != e23
    | e20 != op2(e22,e21)
    | e20 != op2(e20,e23)
    | e21 != e21
    | op2(e23,e21) = e21 ),
    inference(paramod,[status(thm)],[c_3808,c_4158]) ).

cnf(c_4160,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | e20 != op2(e23,e22)
    | op2(e23,e21) != e23
    | op2(e22,e22) != e23
    | e20 != op2(e22,e21)
    | e20 != op2(e20,e23)
    | e21 != e21
    | op2(e23,e21) = e21 ),
    inference(paramod,[status(thm)],[c_664,c_4159]) ).

cnf(c_4161,plain,
    ( h1(e11) != op2(e23,e23)
    | e20 != op2(e23,e22)
    | op2(e23,e21) != e23
    | op2(e22,e22) != e23
    | e20 != op2(e22,e21)
    | e20 != op2(e20,e23)
    | e21 != e21
    | op2(e23,e21) = e21 ),
    inference(paramod,[status(thm)],[c_3805,c_4160]) ).

cnf(c_4162,plain,
    ( e21 != op2(e23,e23)
    | e20 != op2(e23,e22)
    | op2(e23,e21) != e23
    | op2(e22,e22) != e23
    | e20 != op2(e22,e21)
    | e20 != op2(e20,e23)
    | e21 != e21
    | op2(e23,e21) = e21 ),
    inference(paramod,[status(thm)],[c_2047,c_4161]) ).

cnf(c_4163,plain,
    ( e21 != op2(e23,e23)
    | e20 != op2(e23,e22)
    | op2(e23,e21) != e23
    | op2(e22,e22) != e23
    | e20 != op2(e22,e21)
    | op2(e20,e23) != e20
    | e21 != e21
    | op2(e23,e21) = e21 ),
    inference(copy,[status(thm)],[c_4162]) ).

cnf(c_4164,plain,
    ( e21 != op2(e23,e23)
    | e20 != op2(e23,e22)
    | op2(e23,e21) != e23
    | op2(e22,e22) != e23
    | op2(e22,e21) != e20
    | op2(e20,e23) != e20
    | e21 != e21
    | op2(e23,e21) = e21 ),
    inference(copy,[status(thm)],[c_4163]) ).

cnf(c_4165,plain,
    ( e21 != op2(e23,e23)
    | op2(e23,e22) != e20
    | op2(e23,e21) != e23
    | op2(e22,e22) != e23
    | op2(e22,e21) != e20
    | op2(e20,e23) != e20
    | e21 != e21
    | op2(e23,e21) = e21 ),
    inference(copy,[status(thm)],[c_4164]) ).

cnf(c_4166,plain,
    ( op2(e23,e23) != e21
    | op2(e23,e22) != e20
    | op2(e23,e21) != e23
    | op2(e22,e22) != e23
    | op2(e22,e21) != e20
    | op2(e20,e23) != e20
    | e21 != e21
    | op2(e23,e21) = e21 ),
    inference(copy,[status(thm)],[c_4165]) ).

cnf(c_3814,plain,
    ( op2(e23,e23) != e21
    | op2(e23,e22) != e20
    | op2(e23,e21) != e23
    | op2(e22,e22) != e23
    | op2(e22,e21) != e20
    | op2(e20,e23) != e20
    | op2(e23,e21) = e21 ),
    inference(copy,[status(thm)],[c_4166]) ).

cnf(c_4167,plain,
    ( op2(e22,e22) = e23
    | op2(e22,e22) = e23
    | op2(e22,e21) = e20 ),
    inference(resolve,[status(thm)],[c_3752,c_2425]) ).

cnf(c_3846,plain,
    ( op2(e22,e22) = e23
    | op2(e22,e21) = e20 ),
    inference(copy,[status(thm)],[c_4167]) ).

cnf(c_4168,plain,
    ( op2(e22,e22) = e23
    | op2(e22,e22) = e23 ),
    inference(resolve,[status(thm)],[c_3846,c_2426]) ).

cnf(c_3850,plain,
    op2(e22,e22) = e23,
    inference(copy,[status(thm)],[c_4168]) ).

cnf(c_4169,plain,
    ( op2(e23,e23) != e21
    | op2(e23,e22) != e20
    | op2(e23,e21) != e23
    | e23 != e23
    | op2(e22,e21) != e20
    | op2(e20,e23) != e20
    | op2(e23,e21) = e21 ),
    inference(paramod,[status(thm)],[c_3850,c_3814]) ).

cnf(c_3856,plain,
    ( op2(e23,e23) != e21
    | op2(e23,e22) != e20
    | op2(e23,e21) != e23
    | op2(e22,e21) != e20
    | op2(e20,e23) != e20
    | op2(e23,e21) = e21 ),
    inference(copy,[status(thm)],[c_4169]) ).

cnf(c_4170,plain,
    ( op2(e23,e23) = e21
    | e23 = e20 ),
    inference(paramod,[status(thm)],[c_3850,c_3731]) ).

cnf(c_4171,plain,
    ( op2(e23,e23) = e21
    | e20 = e23 ),
    inference(copy,[status(thm)],[c_4170]) ).

cnf(c_3864,plain,
    op2(e23,e23) = e21,
    inference(resolve,[status(thm)],[c_289,c_4171]) ).

cnf(c_4172,plain,
    ( e23 = e20
    | op2(e20,e23) = e20 ),
    inference(paramod,[status(thm)],[c_3850,c_3683]) ).

cnf(c_4173,plain,
    ( e20 = e23
    | op2(e20,e23) = e20 ),
    inference(copy,[status(thm)],[c_4172]) ).

cnf(c_3867,plain,
    op2(e20,e23) = e20,
    inference(resolve,[status(thm)],[c_289,c_4173]) ).

cnf(c_4174,plain,
    ( op2(e23,e22) = e20
    | e23 = e20 ),
    inference(paramod,[status(thm)],[c_3850,c_3672]) ).

cnf(c_4175,plain,
    ( op2(e23,e22) = e20
    | e20 = e23 ),
    inference(copy,[status(thm)],[c_4174]) ).

cnf(c_3868,plain,
    op2(e23,e22) = e20,
    inference(resolve,[status(thm)],[c_289,c_4175]) ).

cnf(c_4176,plain,
    ( e23 = e20
    | op2(e22,e21) = e20 ),
    inference(paramod,[status(thm)],[c_3850,c_3644]) ).

cnf(c_4177,plain,
    ( e20 = e23
    | op2(e22,e21) = e20 ),
    inference(copy,[status(thm)],[c_4176]) ).

cnf(c_3870,plain,
    op2(e22,e21) = e20,
    inference(resolve,[status(thm)],[c_289,c_4177]) ).

cnf(c_4178,plain,
    ( op2(e22,e22) = e20
    | op2(e23,e21) = e23
    | e21 = e20 ),
    inference(paramod,[status(thm)],[c_3864,c_3640]) ).

cnf(c_4179,plain,
    ( e23 = e20
    | op2(e23,e21) = e23
    | e21 = e20 ),
    inference(paramod,[status(thm)],[c_3850,c_4178]) ).

cnf(c_4180,plain,
    ( e20 = e23
    | op2(e23,e21) = e23
    | e21 = e20 ),
    inference(copy,[status(thm)],[c_4179]) ).

cnf(c_4181,plain,
    ( e20 = e23
    | op2(e23,e21) = e23 ),
    inference(resolve,[status(thm)],[c_285,c_4180]) ).

cnf(c_3871,plain,
    op2(e23,e21) = e23,
    inference(resolve,[status(thm)],[c_289,c_4181]) ).

cnf(c_4182,plain,
    ( op2(e23,e23) != e21
    | op2(e23,e22) != e20
    | op2(e23,e21) != e23
    | op2(e22,e21) != e20
    | op2(e20,e23) != e20
    | e23 = e21 ),
    inference(paramod,[status(thm)],[c_3871,c_3856]) ).

cnf(c_4183,plain,
    ( op2(e23,e23) != e21
    | op2(e23,e22) != e20
    | op2(e23,e21) != e23
    | op2(e22,e21) != e20
    | e20 != e20
    | e23 = e21 ),
    inference(paramod,[status(thm)],[c_3867,c_4182]) ).

cnf(c_4184,plain,
    ( op2(e23,e23) != e21
    | op2(e23,e22) != e20
    | op2(e23,e21) != e23
    | e20 != e20
    | e20 != e20
    | e23 = e21 ),
    inference(paramod,[status(thm)],[c_3870,c_4183]) ).

cnf(c_4185,plain,
    ( op2(e23,e23) != e21
    | op2(e23,e22) != e20
    | e23 != e23
    | e20 != e20
    | e20 != e20
    | e23 = e21 ),
    inference(paramod,[status(thm)],[c_3871,c_4184]) ).

cnf(c_4186,plain,
    ( op2(e23,e23) != e21
    | e20 != e20
    | e23 != e23
    | e20 != e20
    | e20 != e20
    | e23 = e21 ),
    inference(paramod,[status(thm)],[c_3868,c_4185]) ).

cnf(c_4187,plain,
    ( e21 != e21
    | e20 != e20
    | e23 != e23
    | e20 != e20
    | e20 != e20
    | e23 = e21 ),
    inference(paramod,[status(thm)],[c_3864,c_4186]) ).

cnf(c_4188,plain,
    ( e21 != e21
    | e20 != e20
    | e23 != e23
    | e20 != e20
    | e20 != e20
    | e21 = e23 ),
    inference(copy,[status(thm)],[c_4187]) ).

cnf(c_4189,plain,
    ( e21 != e21
    | e20 != e20
    | e23 != e23
    | e20 != e20
    | e21 = e23 ),
    inference(copy,[status(thm)],[c_4188]) ).

cnf(c_4190,plain,
    ( e21 != e21
    | e20 != e20
    | e23 != e23
    | e21 = e23 ),
    inference(copy,[status(thm)],[c_4189]) ).

cnf(c_4191,plain,
    ( e21 != e21
    | e20 != e20
    | e21 = e23 ),
    inference(copy,[status(thm)],[c_4190]) ).

cnf(c_4192,plain,
    ( e21 != e21
    | e21 = e23 ),
    inference(copy,[status(thm)],[c_4191]) ).

cnf(c_4193,plain,
    e21 = e23,
    inference(copy,[status(thm)],[c_4192]) ).

cnf(c_3877,plain,
    $false,
    inference(resolve,[status(thm)],[c_293,c_4193]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ALG124+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.37  % Computer : n007.cluster.edu
% 0.08/0.37  % Model    : x86_64 x86_64
% 0.08/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37  % Memory   : 8046.5625MB
% 0.08/0.37  % OS       : Linux 6.8.0-71-generic
% 0.08/0.37  % CPULimit : 300
% 0.08/0.37  % WCLimit  : 300
% 0.08/0.37  % DateTime : Sat Sep 26 21:10:27 UTC 2026
% 0.08/0.37  % CPUTime  : 
% 0.08/0.37  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.37  % Process 483490 was started by sandbox on n007,
% 0.08/0.37  % Sat Sep 26 21:10:27 2026
% 0.08/0.37  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 11.25/11.55  
% 11.25/11.55  % From the command line: assign(max_seconds, 300).
% 24.96/13.48  
% 24.96/13.48  % given #500 (T,wt=10): 2589 op2(e23,e23) = e20 | op2(e20,e22) != e21.  [para(2508(a,1),215(a,1)),flip(b)].
% 24.96/13.48  
% 24.96/13.48  % given #1000 (T,wt=10): 3433 op1(e12,e12) = e10 | op1(e13,e13) != e10.  [back_rewrite(3060),rewrite([3421(3)]),flip(a),unit_del(a,284)].
% 24.96/13.48  
% 24.96/13.48  % SZS status Theorem for theBenchmark
% 24.96/13.48  
% 24.96/13.48  % Proof 1 at 1.63 (+ 0.25) seconds.
% 24.96/13.48  % Length of proof is 367.
% 24.96/13.48  % Level of proof is 25.
% 24.96/13.48  % Maximum clause weight is 180.000.
% 24.96/13.48  % Given clauses 1206.
% 24.96/13.48  
% 24.96/13.48  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------