SInE---0.4.THM-CRf.s

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : ALG121+1 : TPTP v5.0.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art03.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 03:55:43 EST 2010

% Result   : Theorem 1.06s
% Output   : CNFRefutation 1.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   52
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  306 (  97 unt;   0 def)
%            Number of atoms       : 3993 (3673 equ)
%            Maximal formula atoms : 1280 (  13 avg)
%            Number of connectives : 5896 (2209   ~;2846   |; 835   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   84 (   7 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    8 (   6 usr;   7 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(1,axiom,
    ( ( op1(e10,e10) = e10
      | op1(e10,e11) = e10
      | op1(e10,e12) = e10
      | op1(e10,e13) = e10 )
    & ( op1(e10,e10) = e10
      | op1(e11,e10) = e10
      | op1(e12,e10) = e10
      | op1(e13,e10) = e10 )
    & ( op1(e10,e10) = e11
      | op1(e10,e11) = e11
      | op1(e10,e12) = e11
      | op1(e10,e13) = e11 )
    & ( op1(e10,e10) = e11
      | op1(e11,e10) = e11
      | op1(e12,e10) = e11
      | op1(e13,e10) = e11 )
    & ( op1(e10,e10) = e12
      | op1(e10,e11) = e12
      | op1(e10,e12) = e12
      | op1(e10,e13) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e10) = e12
      | op1(e12,e10) = e12
      | op1(e13,e10) = e12 )
    & ( op1(e10,e10) = e13
      | op1(e10,e11) = e13
      | op1(e10,e12) = e13
      | op1(e10,e13) = e13 )
    & ( op1(e10,e10) = e13
      | op1(e11,e10) = e13
      | op1(e12,e10) = e13
      | op1(e13,e10) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e11) = e10
      | op1(e11,e12) = e10
      | op1(e11,e13) = e10 )
    & ( op1(e10,e11) = e10
      | op1(e11,e11) = e10
      | op1(e12,e11) = e10
      | op1(e13,e11) = e10 )
    & ( op1(e11,e10) = e11
      | op1(e11,e11) = e11
      | op1(e11,e12) = e11
      | op1(e11,e13) = e11 )
    & ( op1(e10,e11) = e11
      | op1(e11,e11) = e11
      | op1(e12,e11) = e11
      | op1(e13,e11) = e11 )
    & ( op1(e11,e10) = e12
      | op1(e11,e11) = e12
      | op1(e11,e12) = e12
      | op1(e11,e13) = e12 )
    & ( op1(e10,e11) = e12
      | op1(e11,e11) = e12
      | op1(e12,e11) = e12
      | op1(e13,e11) = e12 )
    & ( op1(e11,e10) = e13
      | op1(e11,e11) = e13
      | op1(e11,e12) = e13
      | op1(e11,e13) = e13 )
    & ( op1(e10,e11) = e13
      | op1(e11,e11) = e13
      | op1(e12,e11) = e13
      | op1(e13,e11) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e11) = e10
      | op1(e12,e12) = e10
      | op1(e12,e13) = e10 )
    & ( op1(e10,e12) = e10
      | op1(e11,e12) = e10
      | op1(e12,e12) = e10
      | op1(e13,e12) = e10 )
    & ( op1(e12,e10) = e11
      | op1(e12,e11) = e11
      | op1(e12,e12) = e11
      | op1(e12,e13) = e11 )
    & ( op1(e10,e12) = e11
      | op1(e11,e12) = e11
      | op1(e12,e12) = e11
      | op1(e13,e12) = e11 )
    & ( op1(e12,e10) = e12
      | op1(e12,e11) = e12
      | op1(e12,e12) = e12
      | op1(e12,e13) = e12 )
    & ( op1(e10,e12) = e12
      | op1(e11,e12) = e12
      | op1(e12,e12) = e12
      | op1(e13,e12) = e12 )
    & ( op1(e12,e10) = e13
      | op1(e12,e11) = e13
      | op1(e12,e12) = e13
      | op1(e12,e13) = e13 )
    & ( op1(e10,e12) = e13
      | op1(e11,e12) = e13
      | op1(e12,e12) = e13
      | op1(e13,e12) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e11) = e10
      | op1(e13,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e13) = e10
      | op1(e11,e13) = e10
      | op1(e12,e13) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e13,e10) = e11
      | op1(e13,e11) = e11
      | op1(e13,e12) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e10,e13) = e11
      | op1(e11,e13) = e11
      | op1(e12,e13) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e13,e10) = e12
      | op1(e13,e11) = e12
      | op1(e13,e12) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e10,e13) = e12
      | op1(e11,e13) = e12
      | op1(e12,e13) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e13,e10) = e13
      | op1(e13,e11) = e13
      | op1(e13,e12) = e13
      | op1(e13,e13) = e13 )
    & ( op1(e10,e13) = e13
      | op1(e11,e13) = e13
      | op1(e12,e13) = e13
      | op1(e13,e13) = e13 ) ),
    file('/tmp/tmpTyxNlF/sel_ALG121+1.p_1',ax2) ).

fof(2,axiom,
    ( ( op2(e20,e20) = e20
      | op2(e20,e20) = e21
      | op2(e20,e20) = e22
      | op2(e20,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e20,e21) = e21
      | op2(e20,e21) = e22
      | op2(e20,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e20,e22) = e21
      | op2(e20,e22) = e22
      | op2(e20,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e20,e23) = e21
      | op2(e20,e23) = e22
      | op2(e20,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e20) = e21
      | op2(e21,e20) = e22
      | op2(e21,e20) = e23 )
    & ( op2(e21,e21) = e20
      | op2(e21,e21) = e21
      | op2(e21,e21) = e22
      | op2(e21,e21) = e23 )
    & ( op2(e21,e22) = e20
      | op2(e21,e22) = e21
      | op2(e21,e22) = e22
      | op2(e21,e22) = e23 )
    & ( op2(e21,e23) = e20
      | op2(e21,e23) = e21
      | op2(e21,e23) = e22
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e20) = e21
      | op2(e22,e20) = e22
      | op2(e22,e20) = e23 )
    & ( op2(e22,e21) = e20
      | op2(e22,e21) = e21
      | op2(e22,e21) = e22
      | op2(e22,e21) = e23 )
    & ( op2(e22,e22) = e20
      | op2(e22,e22) = e21
      | op2(e22,e22) = e22
      | op2(e22,e22) = e23 )
    & ( op2(e22,e23) = e20
      | op2(e22,e23) = e21
      | op2(e22,e23) = e22
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e20) = e21
      | op2(e23,e20) = e22
      | op2(e23,e20) = e23 )
    & ( op2(e23,e21) = e20
      | op2(e23,e21) = e21
      | op2(e23,e21) = e22
      | op2(e23,e21) = e23 )
    & ( op2(e23,e22) = e20
      | op2(e23,e22) = e21
      | op2(e23,e22) = e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) = e20
      | op2(e23,e23) = e21
      | op2(e23,e23) = e22
      | op2(e23,e23) = e23 ) ),
    file('/tmp/tmpTyxNlF/sel_ALG121+1.p_1',ax3) ).

fof(4,axiom,
    ( op2(e20,e20) != op2(e21,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e20,e20) != op2(e20,e21)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e22) != op2(e23,e23) ),
    file('/tmp/tmpTyxNlF/sel_ALG121+1.p_1',ax6) ).

fof(5,axiom,
    ( e10 != e11
    & e10 != e12
    & e10 != e13
    & e11 != e12
    & e11 != e13
    & e12 != e13 ),
    file('/tmp/tmpTyxNlF/sel_ALG121+1.p_1',ax7) ).

fof(6,axiom,
    ( ( op2(e20,e20) = e20
      | op2(e20,e21) = e20
      | op2(e20,e22) = e20
      | op2(e20,e23) = e20 )
    & ( op2(e20,e20) = e20
      | op2(e21,e20) = e20
      | op2(e22,e20) = e20
      | op2(e23,e20) = e20 )
    & ( op2(e20,e20) = e21
      | op2(e20,e21) = e21
      | op2(e20,e22) = e21
      | op2(e20,e23) = e21 )
    & ( op2(e20,e20) = e21
      | op2(e21,e20) = e21
      | op2(e22,e20) = e21
      | op2(e23,e20) = e21 )
    & ( op2(e20,e20) = e22
      | op2(e20,e21) = e22
      | op2(e20,e22) = e22
      | op2(e20,e23) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e20) = e22
      | op2(e22,e20) = e22
      | op2(e23,e20) = e22 )
    & ( op2(e20,e20) = e23
      | op2(e20,e21) = e23
      | op2(e20,e22) = e23
      | op2(e20,e23) = e23 )
    & ( op2(e20,e20) = e23
      | op2(e21,e20) = e23
      | op2(e22,e20) = e23
      | op2(e23,e20) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e21) = e20
      | op2(e21,e22) = e20
      | op2(e21,e23) = e20 )
    & ( op2(e20,e21) = e20
      | op2(e21,e21) = e20
      | op2(e22,e21) = e20
      | op2(e23,e21) = e20 )
    & ( op2(e21,e20) = e21
      | op2(e21,e21) = e21
      | op2(e21,e22) = e21
      | op2(e21,e23) = e21 )
    & ( op2(e20,e21) = e21
      | op2(e21,e21) = e21
      | op2(e22,e21) = e21
      | op2(e23,e21) = e21 )
    & ( op2(e21,e20) = e22
      | op2(e21,e21) = e22
      | op2(e21,e22) = e22
      | op2(e21,e23) = e22 )
    & ( op2(e20,e21) = e22
      | op2(e21,e21) = e22
      | op2(e22,e21) = e22
      | op2(e23,e21) = e22 )
    & ( op2(e21,e20) = e23
      | op2(e21,e21) = e23
      | op2(e21,e22) = e23
      | op2(e21,e23) = e23 )
    & ( op2(e20,e21) = e23
      | op2(e21,e21) = e23
      | op2(e22,e21) = e23
      | op2(e23,e21) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e21) = e20
      | op2(e22,e22) = e20
      | op2(e22,e23) = e20 )
    & ( op2(e20,e22) = e20
      | op2(e21,e22) = e20
      | op2(e22,e22) = e20
      | op2(e23,e22) = e20 )
    & ( op2(e22,e20) = e21
      | op2(e22,e21) = e21
      | op2(e22,e22) = e21
      | op2(e22,e23) = e21 )
    & ( op2(e20,e22) = e21
      | op2(e21,e22) = e21
      | op2(e22,e22) = e21
      | op2(e23,e22) = e21 )
    & ( op2(e22,e20) = e22
      | op2(e22,e21) = e22
      | op2(e22,e22) = e22
      | op2(e22,e23) = e22 )
    & ( op2(e20,e22) = e22
      | op2(e21,e22) = e22
      | op2(e22,e22) = e22
      | op2(e23,e22) = e22 )
    & ( op2(e22,e20) = e23
      | op2(e22,e21) = e23
      | op2(e22,e22) = e23
      | op2(e22,e23) = e23 )
    & ( op2(e20,e22) = e23
      | op2(e21,e22) = e23
      | op2(e22,e22) = e23
      | op2(e23,e22) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e21) = e20
      | op2(e23,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e23) = e20
      | op2(e21,e23) = e20
      | op2(e22,e23) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e23,e20) = e21
      | op2(e23,e21) = e21
      | op2(e23,e22) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e20,e23) = e21
      | op2(e21,e23) = e21
      | op2(e22,e23) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e23,e20) = e22
      | op2(e23,e21) = e22
      | op2(e23,e22) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e20,e23) = e22
      | op2(e21,e23) = e22
      | op2(e22,e23) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e23,e20) = e23
      | op2(e23,e21) = e23
      | op2(e23,e22) = e23
      | op2(e23,e23) = e23 )
    & ( op2(e20,e23) = e23
      | op2(e21,e23) = e23
      | op2(e22,e23) = e23
      | op2(e23,e23) = e23 ) ),
    file('/tmp/tmpTyxNlF/sel_ALG121+1.p_1',ax4) ).

fof(7,axiom,
    ( op1(e10,e10) != op1(e11,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e10,e10) != op1(e10,e11)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e12) != op1(e13,e13) ),
    file('/tmp/tmpTyxNlF/sel_ALG121+1.p_1',ax5) ).

fof(8,axiom,
    ( e20 != e21
    & e20 != e22
    & e20 != e23
    & e21 != e22
    & e21 != e23
    & e22 != e23 ),
    file('/tmp/tmpTyxNlF/sel_ALG121+1.p_1',ax8) ).

fof(10,axiom,
    ( h1(e13) = e20
    & h1(e10) = op2(e20,e20)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & h1(e12) = op2(op2(op2(e20,e20),op2(e20,e20)),e20) ),
    file('/tmp/tmpTyxNlF/sel_ALG121+1.p_1',ax14) ).

fof(13,axiom,
    ( h4(e13) = e23
    & h4(e10) = op2(e23,e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23) ),
    file('/tmp/tmpTyxNlF/sel_ALG121+1.p_1',ax17) ).

fof(14,axiom,
    ( ( op1(e10,e10) = e10
      | op1(e11,e11) = e11
      | op1(e12,e12) = e12
      | op1(e13,e13) = e13 )
    & ( op1(e10,e10) != e10
      | op1(e10,e10) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) = e10 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) = e11 )
    & ( op1(e11,e11) != e11
      | op1(e11,e11) = e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) = e11 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) = e11 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) = e12 )
    & ( op1(e12,e12) != e12
      | op1(e12,e12) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) = e12 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) = e13 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) = e13 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) != e13
      | op1(e13,e13) = e13 )
    & ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & op1(e10,e10) != e10 )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & op1(e11,e11) != e11 )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & op1(e12,e12) != e12 )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & op1(e13,e13) != e13 )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & op1(e10,e10) != e10 )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & op1(e11,e11) != e11 )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & op1(e12,e12) != e12 )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & op1(e13,e13) != e13 )
      | ( op1(e12,e10) = e12
        & op1(e10,e12) = e12
        & op1(e10,e10) != e10 )
      | ( op1(e12,e11) = e12
        & op1(e11,e12) = e12
        & op1(e11,e11) != e11 )
      | ( op1(e12,e12) = e12
        & op1(e12,e12) = e12
        & op1(e12,e12) != e12 )
      | ( op1(e12,e13) = e12
        & op1(e13,e12) = e12
        & op1(e13,e13) != e13 )
      | ( op1(e13,e10) = e13
        & op1(e10,e13) = e13
        & op1(e10,e10) != e10 )
      | ( op1(e13,e11) = e13
        & op1(e11,e13) = e13
        & op1(e11,e11) != e11 )
      | ( op1(e13,e12) = e13
        & op1(e12,e13) = e13
        & op1(e12,e12) != e12 )
      | ( op1(e13,e13) = e13
        & op1(e13,e13) = e13
        & op1(e13,e13) != e13 ) ) ),
    file('/tmp/tmpTyxNlF/sel_ALG121+1.p_1',ax10) ).

fof(15,axiom,
    ( ( op2(e20,e20) = e20
      | op2(e21,e21) = e21
      | op2(e22,e22) = e22
      | op2(e23,e23) = e23 )
    & ( op2(e20,e20) != e20
      | op2(e20,e20) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) = e20 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) = e21 )
    & ( op2(e21,e21) != e21
      | op2(e21,e21) = e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) = e21 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) = e21 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) = e22 )
    & ( op2(e22,e22) != e22
      | op2(e22,e22) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) = e22 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) = e23 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) = e23 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) != e23
      | op2(e23,e23) = e23 )
    & ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & op2(e20,e20) != e20 )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & op2(e21,e21) != e21 )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & op2(e22,e22) != e22 )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & op2(e23,e23) != e23 )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & op2(e20,e20) != e20 )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & op2(e21,e21) != e21 )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & op2(e22,e22) != e22 )
      | ( op2(e21,e23) = e21
        & op2(e23,e21) = e21
        & op2(e23,e23) != e23 )
      | ( op2(e22,e20) = e22
        & op2(e20,e22) = e22
        & op2(e20,e20) != e20 )
      | ( op2(e22,e21) = e22
        & op2(e21,e22) = e22
        & op2(e21,e21) != e21 )
      | ( op2(e22,e22) = e22
        & op2(e22,e22) = e22
        & op2(e22,e22) != e22 )
      | ( op2(e22,e23) = e22
        & op2(e23,e22) = e22
        & op2(e23,e23) != e23 )
      | ( op2(e23,e20) = e23
        & op2(e20,e23) = e23
        & op2(e20,e20) != e20 )
      | ( op2(e23,e21) = e23
        & op2(e21,e23) = e23
        & op2(e21,e21) != e21 )
      | ( op2(e23,e22) = e23
        & op2(e22,e23) = e23
        & op2(e22,e22) != e22 )
      | ( op2(e23,e23) = e23
        & op2(e23,e23) = e23
        & op2(e23,e23) != e23 ) ) ),
    file('/tmp/tmpTyxNlF/sel_ALG121+1.p_1',ax11) ).

fof(16,axiom,
    ( e10 = op1(e13,e13)
    & e11 = op1(op1(e13,e13),op1(e13,e13))
    & e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13) ),
    file('/tmp/tmpTyxNlF/sel_ALG121+1.p_1',ax12) ).

fof(17,axiom,
    ( e20 = op2(e23,e23)
    & e21 = op2(op2(e23,e23),op2(e23,e23))
    & e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23) ),
    file('/tmp/tmpTyxNlF/sel_ALG121+1.p_1',ax13) ).

fof(18,conjecture,
    ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
      & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
      & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
      & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
      & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
      & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
      & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
      & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
      & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
      & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
      & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
      & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
      & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
      & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
      & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
      & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
      & ( h1(e10) = e20
        | h1(e11) = e20
        | h1(e12) = e20
        | h1(e13) = e20 )
      & ( h1(e10) = e21
        | h1(e11) = e21
        | h1(e12) = e21
        | h1(e13) = e21 )
      & ( h1(e10) = e22
        | h1(e11) = e22
        | h1(e12) = e22
        | h1(e13) = e22 )
      & ( h1(e10) = e23
        | h1(e11) = e23
        | h1(e12) = e23
        | h1(e13) = e23 ) )
    | ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
      & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
      & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
      & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
      & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
      & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
      & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
      & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
      & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
      & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
      & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
      & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
      & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
      & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
      & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
      & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
      & ( h2(e10) = e20
        | h2(e11) = e20
        | h2(e12) = e20
        | h2(e13) = e20 )
      & ( h2(e10) = e21
        | h2(e11) = e21
        | h2(e12) = e21
        | h2(e13) = e21 )
      & ( h2(e10) = e22
        | h2(e11) = e22
        | h2(e12) = e22
        | h2(e13) = e22 )
      & ( h2(e10) = e23
        | h2(e11) = e23
        | h2(e12) = e23
        | h2(e13) = e23 ) )
    | ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
      & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
      & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
      & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
      & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
      & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
      & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
      & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
      & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
      & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
      & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
      & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
      & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
      & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
      & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
      & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
      & ( h3(e10) = e20
        | h3(e11) = e20
        | h3(e12) = e20
        | h3(e13) = e20 )
      & ( h3(e10) = e21
        | h3(e11) = e21
        | h3(e12) = e21
        | h3(e13) = e21 )
      & ( h3(e10) = e22
        | h3(e11) = e22
        | h3(e12) = e22
        | h3(e13) = e22 )
      & ( h3(e10) = e23
        | h3(e11) = e23
        | h3(e12) = e23
        | h3(e13) = e23 ) )
    | ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
      & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
      & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
      & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
      & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
      & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
      & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
      & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
      & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
      & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
      & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
      & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
      & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
      & ( h4(e10) = e20
        | h4(e11) = e20
        | h4(e12) = e20
        | h4(e13) = e20 )
      & ( h4(e10) = e21
        | h4(e11) = e21
        | h4(e12) = e21
        | h4(e13) = e21 )
      & ( h4(e10) = e22
        | h4(e11) = e22
        | h4(e12) = e22
        | h4(e13) = e22 )
      & ( h4(e10) = e23
        | h4(e11) = e23
        | h4(e12) = e23
        | h4(e13) = e23 ) ) ),
    file('/tmp/tmpTyxNlF/sel_ALG121+1.p_1',co1) ).

fof(19,negated_conjecture,
    ~ ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
        & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
        & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
        & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
        & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
        & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
        & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
        & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
        & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
        & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
        & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
        & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
        & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
        & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
        & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
        & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
        & ( h1(e10) = e20
          | h1(e11) = e20
          | h1(e12) = e20
          | h1(e13) = e20 )
        & ( h1(e10) = e21
          | h1(e11) = e21
          | h1(e12) = e21
          | h1(e13) = e21 )
        & ( h1(e10) = e22
          | h1(e11) = e22
          | h1(e12) = e22
          | h1(e13) = e22 )
        & ( h1(e10) = e23
          | h1(e11) = e23
          | h1(e12) = e23
          | h1(e13) = e23 ) )
      | ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
        & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
        & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
        & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
        & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
        & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
        & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
        & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
        & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
        & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
        & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
        & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
        & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
        & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
        & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
        & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
        & ( h2(e10) = e20
          | h2(e11) = e20
          | h2(e12) = e20
          | h2(e13) = e20 )
        & ( h2(e10) = e21
          | h2(e11) = e21
          | h2(e12) = e21
          | h2(e13) = e21 )
        & ( h2(e10) = e22
          | h2(e11) = e22
          | h2(e12) = e22
          | h2(e13) = e22 )
        & ( h2(e10) = e23
          | h2(e11) = e23
          | h2(e12) = e23
          | h2(e13) = e23 ) )
      | ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
        & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
        & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
        & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
        & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
        & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
        & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
        & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
        & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
        & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
        & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
        & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
        & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
        & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
        & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
        & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
        & ( h3(e10) = e20
          | h3(e11) = e20
          | h3(e12) = e20
          | h3(e13) = e20 )
        & ( h3(e10) = e21
          | h3(e11) = e21
          | h3(e12) = e21
          | h3(e13) = e21 )
        & ( h3(e10) = e22
          | h3(e11) = e22
          | h3(e12) = e22
          | h3(e13) = e22 )
        & ( h3(e10) = e23
          | h3(e11) = e23
          | h3(e12) = e23
          | h3(e13) = e23 ) )
      | ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
        & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
        & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
        & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
        & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
        & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
        & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
        & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
        & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
        & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
        & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
        & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
        & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
        & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
        & ( h4(e10) = e20
          | h4(e11) = e20
          | h4(e12) = e20
          | h4(e13) = e20 )
        & ( h4(e10) = e21
          | h4(e11) = e21
          | h4(e12) = e21
          | h4(e13) = e21 )
        & ( h4(e10) = e22
          | h4(e11) = e22
          | h4(e12) = e22
          | h4(e13) = e22 )
        & ( h4(e10) = e23
          | h4(e11) = e23
          | h4(e12) = e23
          | h4(e13) = e23 ) ) ),
    inference(assume_negation,[status(cth)],[18]) ).

fof(20,plain,
    ( ( op1(e10,e10) = e10
      | op1(e11,e11) = e11
      | op1(e12,e12) = e12
      | op1(e13,e13) = e13 )
    & ( op1(e10,e10) != e10
      | op1(e10,e10) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) = e10 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) = e11 )
    & ( op1(e11,e11) != e11
      | op1(e11,e11) = e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) = e11 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) = e11 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) = e12 )
    & ( op1(e12,e12) != e12
      | op1(e12,e12) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) = e12 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) = e13 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) = e13 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) != e13
      | op1(e13,e13) = e13 )
    & ( ( op1(e10,e10) = e10
        & op1(e10,e10) != e10 )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & op1(e11,e11) != e11 )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & op1(e12,e12) != e12 )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & op1(e13,e13) != e13 )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & op1(e10,e10) != e10 )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) != e11 )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & op1(e12,e12) != e12 )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & op1(e13,e13) != e13 )
      | ( op1(e12,e10) = e12
        & op1(e10,e12) = e12
        & op1(e10,e10) != e10 )
      | ( op1(e12,e11) = e12
        & op1(e11,e12) = e12
        & op1(e11,e11) != e11 )
      | ( op1(e12,e12) = e12
        & op1(e12,e12) != e12 )
      | ( op1(e12,e13) = e12
        & op1(e13,e12) = e12
        & op1(e13,e13) != e13 )
      | ( op1(e13,e10) = e13
        & op1(e10,e13) = e13
        & op1(e10,e10) != e10 )
      | ( op1(e13,e11) = e13
        & op1(e11,e13) = e13
        & op1(e11,e11) != e11 )
      | ( op1(e13,e12) = e13
        & op1(e12,e13) = e13
        & op1(e12,e12) != e12 )
      | ( op1(e13,e13) = e13
        & op1(e13,e13) != e13 ) ) ),
    inference(fof_simplification,[status(thm)],[14,theory(equality)]) ).

fof(21,plain,
    ( ( op2(e20,e20) = e20
      | op2(e21,e21) = e21
      | op2(e22,e22) = e22
      | op2(e23,e23) = e23 )
    & ( op2(e20,e20) != e20
      | op2(e20,e20) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) = e20 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) = e21 )
    & ( op2(e21,e21) != e21
      | op2(e21,e21) = e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) = e21 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) = e21 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) = e22 )
    & ( op2(e22,e22) != e22
      | op2(e22,e22) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) = e22 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) = e23 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) = e23 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) != e23
      | op2(e23,e23) = e23 )
    & ( ( op2(e20,e20) = e20
        & op2(e20,e20) != e20 )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & op2(e21,e21) != e21 )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & op2(e22,e22) != e22 )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & op2(e23,e23) != e23 )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & op2(e20,e20) != e20 )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) != e21 )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & op2(e22,e22) != e22 )
      | ( op2(e21,e23) = e21
        & op2(e23,e21) = e21
        & op2(e23,e23) != e23 )
      | ( op2(e22,e20) = e22
        & op2(e20,e22) = e22
        & op2(e20,e20) != e20 )
      | ( op2(e22,e21) = e22
        & op2(e21,e22) = e22
        & op2(e21,e21) != e21 )
      | ( op2(e22,e22) = e22
        & op2(e22,e22) != e22 )
      | ( op2(e22,e23) = e22
        & op2(e23,e22) = e22
        & op2(e23,e23) != e23 )
      | ( op2(e23,e20) = e23
        & op2(e20,e23) = e23
        & op2(e20,e20) != e20 )
      | ( op2(e23,e21) = e23
        & op2(e21,e23) = e23
        & op2(e21,e21) != e21 )
      | ( op2(e23,e22) = e23
        & op2(e22,e23) = e23
        & op2(e22,e22) != e22 )
      | ( op2(e23,e23) = e23
        & op2(e23,e23) != e23 ) ) ),
    inference(fof_simplification,[status(thm)],[15,theory(equality)]) ).

fof(25,plain,
    ( epred4_0
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) != e10 )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & op1(e11,e11) != e11 )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & op1(e12,e12) != e12 )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & op1(e13,e13) != e13 )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & op1(e10,e10) != e10 )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) != e11 )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & op1(e12,e12) != e12 )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & op1(e13,e13) != e13 )
      | ( op1(e12,e10) = e12
        & op1(e10,e12) = e12
        & op1(e10,e10) != e10 )
      | ( op1(e12,e11) = e12
        & op1(e11,e12) = e12
        & op1(e11,e11) != e11 )
      | ( op1(e12,e12) = e12
        & op1(e12,e12) != e12 )
      | ( op1(e12,e13) = e12
        & op1(e13,e12) = e12
        & op1(e13,e13) != e13 )
      | ( op1(e13,e10) = e13
        & op1(e10,e13) = e13
        & op1(e10,e10) != e10 )
      | ( op1(e13,e11) = e13
        & op1(e11,e13) = e13
        & op1(e11,e11) != e11 )
      | ( op1(e13,e12) = e13
        & op1(e12,e13) = e13
        & op1(e12,e12) != e12 ) ) ),
    introduced(definition) ).

fof(29,plain,
    ( epred8_0
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) != e20 )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & op2(e21,e21) != e21 )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & op2(e22,e22) != e22 )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & op2(e23,e23) != e23 )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & op2(e20,e20) != e20 )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) != e21 )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & op2(e22,e22) != e22 )
      | ( op2(e21,e23) = e21
        & op2(e23,e21) = e21
        & op2(e23,e23) != e23 )
      | ( op2(e22,e20) = e22
        & op2(e20,e22) = e22
        & op2(e20,e20) != e20 )
      | ( op2(e22,e21) = e22
        & op2(e21,e22) = e22
        & op2(e21,e21) != e21 )
      | ( op2(e22,e22) = e22
        & op2(e22,e22) != e22 )
      | ( op2(e22,e23) = e22
        & op2(e23,e22) = e22
        & op2(e23,e23) != e23 )
      | ( op2(e23,e20) = e23
        & op2(e20,e23) = e23
        & op2(e20,e20) != e20 )
      | ( op2(e23,e21) = e23
        & op2(e21,e23) = e23
        & op2(e21,e21) != e21 )
      | ( op2(e23,e22) = e23
        & op2(e22,e23) = e23
        & op2(e22,e22) != e22 ) ) ),
    introduced(definition) ).

fof(30,plain,
    ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
      & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
      & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
      & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
      & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
      & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
      & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
      & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
      & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
      & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
      & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
      & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
      & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
      & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
      & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
      & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
      & ( h1(e10) = e20
        | h1(e11) = e20
        | h1(e12) = e20
        | h1(e13) = e20 )
      & ( h1(e10) = e21
        | h1(e11) = e21
        | h1(e12) = e21
        | h1(e13) = e21 )
      & ( h1(e10) = e22
        | h1(e11) = e22
        | h1(e12) = e22
        | h1(e13) = e22 ) )
   => epred9_0 ),
    introduced(definition) ).

fof(31,plain,
    ( ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
      & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
      & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
      & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
      & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
      & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
      & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
      & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
      & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
      & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
      & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
      & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
      & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
      & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
      & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
      & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
      & ( h2(e10) = e20
        | h2(e11) = e20
        | h2(e12) = e20
        | h2(e13) = e20 )
      & ( h2(e10) = e21
        | h2(e11) = e21
        | h2(e12) = e21
        | h2(e13) = e21 )
      & ( h2(e10) = e22
        | h2(e11) = e22
        | h2(e12) = e22
        | h2(e13) = e22 ) )
   => epred10_0 ),
    introduced(definition) ).

fof(32,plain,
    ( ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
      & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
      & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
      & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
      & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
      & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
      & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
      & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
      & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
      & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
      & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
      & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
      & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
      & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
      & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
      & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
      & ( h3(e10) = e20
        | h3(e11) = e20
        | h3(e12) = e20
        | h3(e13) = e20 )
      & ( h3(e10) = e21
        | h3(e11) = e21
        | h3(e12) = e21
        | h3(e13) = e21 )
      & ( h3(e10) = e22
        | h3(e11) = e22
        | h3(e12) = e22
        | h3(e13) = e22 ) )
   => epred11_0 ),
    introduced(definition) ).

fof(33,plain,
    ( ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
      & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
      & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
      & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
      & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
      & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
      & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
      & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
      & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
      & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
      & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
      & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
      & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
      & ( h4(e10) = e20
        | h4(e11) = e20
        | h4(e12) = e20
        | h4(e13) = e20 )
      & ( h4(e10) = e21
        | h4(e11) = e21
        | h4(e12) = e21
        | h4(e13) = e21 )
      & ( h4(e10) = e22
        | h4(e11) = e22
        | h4(e12) = e22
        | h4(e13) = e22 ) )
   => epred12_0 ),
    introduced(definition) ).

fof(34,plain,
    ( ( op1(e10,e10) = e10
      | op1(e11,e11) = e11
      | op1(e12,e12) = e12
      | op1(e13,e13) = e13 )
    & ( op1(e10,e10) != e10
      | op1(e10,e10) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) = e10 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) = e11 )
    & ( op1(e11,e11) != e11
      | op1(e11,e11) = e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) = e11 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) = e11 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) = e12 )
    & ( op1(e12,e12) != e12
      | op1(e12,e12) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) = e12 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) = e13 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) = e13 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) != e13
      | op1(e13,e13) = e13 )
    & ( epred4_0
      | ( op1(e13,e13) = e13
        & op1(e13,e13) != e13 ) ) ),
    inference(apply_def,[status(esa)],[20,25,theory(equality)]) ).

fof(35,plain,
    ( ( op2(e20,e20) = e20
      | op2(e21,e21) = e21
      | op2(e22,e22) = e22
      | op2(e23,e23) = e23 )
    & ( op2(e20,e20) != e20
      | op2(e20,e20) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) = e20 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) = e21 )
    & ( op2(e21,e21) != e21
      | op2(e21,e21) = e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) = e21 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) = e21 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) = e22 )
    & ( op2(e22,e22) != e22
      | op2(e22,e22) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) = e22 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) = e23 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) = e23 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) != e23
      | op2(e23,e23) = e23 )
    & ( epred8_0
      | ( op2(e23,e23) = e23
        & op2(e23,e23) != e23 ) ) ),
    inference(apply_def,[status(esa)],[21,29,theory(equality)]) ).

fof(36,negated_conjecture,
    ~ ( ( epred9_0
        & ( h1(e10) = e23
          | h1(e11) = e23
          | h1(e12) = e23
          | h1(e13) = e23 ) )
      | ( epred10_0
        & ( h2(e10) = e23
          | h2(e11) = e23
          | h2(e12) = e23
          | h2(e13) = e23 ) )
      | ( epred11_0
        & ( h3(e10) = e23
          | h3(e11) = e23
          | h3(e12) = e23
          | h3(e13) = e23 ) )
      | ( epred12_0
        & ( h4(e10) = e23
          | h4(e11) = e23
          | h4(e12) = e23
          | h4(e13) = e23 ) ) ),
    inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[19,30,theory(equality)]),31,theory(equality)]),32,theory(equality)]),33,theory(equality)]) ).

cnf(43,plain,
    ( op1(e13,e13) = e13
    | op1(e12,e13) = e13
    | op1(e11,e13) = e13
    | op1(e10,e13) = e13 ),
    inference(split_conjunct,[status(thm)],[1]) ).

cnf(46,plain,
    ( op1(e13,e13) = e12
    | op1(e13,e12) = e12
    | op1(e13,e11) = e12
    | op1(e13,e10) = e12 ),
    inference(split_conjunct,[status(thm)],[1]) ).

cnf(47,plain,
    ( op1(e13,e13) = e11
    | op1(e12,e13) = e11
    | op1(e11,e13) = e11
    | op1(e10,e13) = e11 ),
    inference(split_conjunct,[status(thm)],[1]) ).

cnf(48,plain,
    ( op1(e13,e13) = e11
    | op1(e13,e12) = e11
    | op1(e13,e11) = e11
    | op1(e13,e10) = e11 ),
    inference(split_conjunct,[status(thm)],[1]) ).

cnf(58,plain,
    ( op1(e12,e13) = e10
    | op1(e12,e12) = e10
    | op1(e12,e11) = e10
    | op1(e12,e10) = e10 ),
    inference(split_conjunct,[status(thm)],[1]) ).

cnf(59,plain,
    ( op1(e13,e11) = e13
    | op1(e12,e11) = e13
    | op1(e11,e11) = e13
    | op1(e10,e11) = e13 ),
    inference(split_conjunct,[status(thm)],[1]) ).

cnf(60,plain,
    ( op1(e11,e13) = e13
    | op1(e11,e12) = e13
    | op1(e11,e11) = e13
    | op1(e11,e10) = e13 ),
    inference(split_conjunct,[status(thm)],[1]) ).

cnf(69,plain,
    ( op1(e13,e10) = e12
    | op1(e12,e10) = e12
    | op1(e11,e10) = e12
    | op1(e10,e10) = e12 ),
    inference(split_conjunct,[status(thm)],[1]) ).

cnf(70,plain,
    ( op1(e10,e13) = e12
    | op1(e10,e12) = e12
    | op1(e10,e11) = e12
    | op1(e10,e10) = e12 ),
    inference(split_conjunct,[status(thm)],[1]) ).

cnf(73,plain,
    ( op1(e13,e10) = e10
    | op1(e12,e10) = e10
    | op1(e11,e10) = e10
    | op1(e10,e10) = e10 ),
    inference(split_conjunct,[status(thm)],[1]) ).

cnf(86,plain,
    ( op2(e21,e20) = e23
    | op2(e21,e20) = e22
    | op2(e21,e20) = e21
    | op2(e21,e20) = e20 ),
    inference(split_conjunct,[status(thm)],[2]) ).

cnf(87,plain,
    ( op2(e20,e23) = e23
    | op2(e20,e23) = e22
    | op2(e20,e23) = e21
    | op2(e20,e23) = e20 ),
    inference(split_conjunct,[status(thm)],[2]) ).

cnf(122,plain,
    op2(e21,e20) != op2(e21,e23),
    inference(split_conjunct,[status(thm)],[4]) ).

cnf(128,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(split_conjunct,[status(thm)],[4]) ).

cnf(134,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(split_conjunct,[status(thm)],[4]) ).

cnf(136,plain,
    op2(e20,e23) != op2(e21,e23),
    inference(split_conjunct,[status(thm)],[4]) ).

cnf(144,plain,
    op2(e21,e21) != op2(e23,e21),
    inference(split_conjunct,[status(thm)],[4]) ).

cnf(145,plain,
    op2(e21,e21) != op2(e22,e21),
    inference(split_conjunct,[status(thm)],[4]) ).

cnf(150,plain,
    op2(e21,e20) != op2(e23,e20),
    inference(split_conjunct,[status(thm)],[4]) ).

cnf(154,plain,
    op2(e20,e20) != op2(e21,e20),
    inference(split_conjunct,[status(thm)],[4]) ).

cnf(155,plain,
    e12 != e13,
    inference(split_conjunct,[status(thm)],[5]) ).

cnf(156,plain,
    e11 != e13,
    inference(split_conjunct,[status(thm)],[5]) ).

cnf(157,plain,
    e11 != e12,
    inference(split_conjunct,[status(thm)],[5]) ).

cnf(158,plain,
    e10 != e13,
    inference(split_conjunct,[status(thm)],[5]) ).

cnf(159,plain,
    e10 != e12,
    inference(split_conjunct,[status(thm)],[5]) ).

cnf(160,plain,
    e10 != e11,
    inference(split_conjunct,[status(thm)],[5]) ).

cnf(164,plain,
    ( op2(e23,e23) = e22
    | op2(e23,e22) = e22
    | op2(e23,e21) = e22
    | op2(e23,e20) = e22 ),
    inference(split_conjunct,[status(thm)],[6]) ).

cnf(165,plain,
    ( op2(e23,e23) = e21
    | op2(e22,e23) = e21
    | op2(e21,e23) = e21
    | op2(e20,e23) = e21 ),
    inference(split_conjunct,[status(thm)],[6]) ).

cnf(166,plain,
    ( op2(e23,e23) = e21
    | op2(e23,e22) = e21
    | op2(e23,e21) = e21
    | op2(e23,e20) = e21 ),
    inference(split_conjunct,[status(thm)],[6]) ).

cnf(170,plain,
    ( op2(e22,e23) = e23
    | op2(e22,e22) = e23
    | op2(e22,e21) = e23
    | op2(e22,e20) = e23 ),
    inference(split_conjunct,[status(thm)],[6]) ).

cnf(176,plain,
    ( op2(e22,e23) = e20
    | op2(e22,e22) = e20
    | op2(e22,e21) = e20
    | op2(e22,e20) = e20 ),
    inference(split_conjunct,[status(thm)],[6]) ).

cnf(178,plain,
    ( op2(e21,e23) = e23
    | op2(e21,e22) = e23
    | op2(e21,e21) = e23
    | op2(e21,e20) = e23 ),
    inference(split_conjunct,[status(thm)],[6]) ).

cnf(182,plain,
    ( op2(e21,e23) = e21
    | op2(e21,e22) = e21
    | op2(e21,e21) = e21
    | op2(e21,e20) = e21 ),
    inference(split_conjunct,[status(thm)],[6]) ).

cnf(187,plain,
    ( op2(e23,e20) = e22
    | op2(e22,e20) = e22
    | op2(e21,e20) = e22
    | op2(e20,e20) = e22 ),
    inference(split_conjunct,[status(thm)],[6]) ).

cnf(188,plain,
    ( op2(e20,e23) = e22
    | op2(e20,e22) = e22
    | op2(e20,e21) = e22
    | op2(e20,e20) = e22 ),
    inference(split_conjunct,[status(thm)],[6]) ).

cnf(198,plain,
    op1(e13,e10) != op1(e13,e11),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(203,plain,
    op1(e12,e10) != op1(e12,e12),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(208,plain,
    op1(e11,e10) != op1(e11,e13),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(214,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(217,plain,
    op1(e12,e13) != op1(e13,e13),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(230,plain,
    op1(e11,e11) != op1(e13,e11),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(236,plain,
    op1(e11,e10) != op1(e13,e10),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(241,plain,
    e22 != e23,
    inference(split_conjunct,[status(thm)],[8]) ).

cnf(242,plain,
    e21 != e23,
    inference(split_conjunct,[status(thm)],[8]) ).

cnf(243,plain,
    e21 != e22,
    inference(split_conjunct,[status(thm)],[8]) ).

cnf(244,plain,
    e20 != e23,
    inference(split_conjunct,[status(thm)],[8]) ).

cnf(245,plain,
    e20 != e22,
    inference(split_conjunct,[status(thm)],[8]) ).

cnf(246,plain,
    e20 != e21,
    inference(split_conjunct,[status(thm)],[8]) ).

cnf(264,plain,
    h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
    inference(split_conjunct,[status(thm)],[10]) ).

cnf(265,plain,
    h1(e10) = op2(e20,e20),
    inference(split_conjunct,[status(thm)],[10]) ).

cnf(275,plain,
    h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(split_conjunct,[status(thm)],[13]) ).

cnf(276,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(split_conjunct,[status(thm)],[13]) ).

cnf(277,plain,
    h4(e10) = op2(e23,e23),
    inference(split_conjunct,[status(thm)],[13]) ).

cnf(278,plain,
    h4(e13) = e23,
    inference(split_conjunct,[status(thm)],[13]) ).

fof(279,plain,
    ( ( op1(e10,e10) = e10
      | op1(e11,e11) = e11
      | op1(e12,e12) = e12
      | op1(e13,e13) = e13 )
    & ( op1(e10,e10) != e10
      | op1(e10,e10) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) = e10 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) = e11 )
    & ( op1(e11,e11) != e11
      | op1(e11,e11) = e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) = e11 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) = e11 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) = e12 )
    & ( op1(e12,e12) != e12
      | op1(e12,e12) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) = e12 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) = e13 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) = e13 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) != e13
      | op1(e13,e13) = e13 )
    & ( op1(e13,e13) = e13
      | epred4_0 )
    & ( op1(e13,e13) != e13
      | epred4_0 ) ),
    inference(distribute,[status(thm)],[34]) ).

cnf(285,plain,
    ( op1(e13,e10) = e13
    | op1(e13,e13) != e10 ),
    inference(split_conjunct,[status(thm)],[279]) ).

cnf(290,plain,
    ( op1(e11,e13) = e11
    | op1(e11,e11) != e13 ),
    inference(split_conjunct,[status(thm)],[279]) ).

cnf(296,plain,
    ( op1(e10,e11) = e10
    | op1(e10,e10) != e11 ),
    inference(split_conjunct,[status(thm)],[279]) ).

cnf(298,plain,
    ( op1(e13,e13) = e13
    | op1(e12,e12) = e12
    | op1(e11,e11) = e11
    | op1(e10,e10) = e10 ),
    inference(split_conjunct,[status(thm)],[279]) ).

fof(299,plain,
    ( ( op2(e20,e20) = e20
      | op2(e21,e21) = e21
      | op2(e22,e22) = e22
      | op2(e23,e23) = e23 )
    & ( op2(e20,e20) != e20
      | op2(e20,e20) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) = e20 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) = e21 )
    & ( op2(e21,e21) != e21
      | op2(e21,e21) = e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) = e21 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) = e21 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) = e22 )
    & ( op2(e22,e22) != e22
      | op2(e22,e22) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) = e22 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) = e23 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) = e23 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) != e23
      | op2(e23,e23) = e23 )
    & ( op2(e23,e23) = e23
      | epred8_0 )
    & ( op2(e23,e23) != e23
      | epred8_0 ) ),
    inference(distribute,[status(thm)],[35]) ).

cnf(305,plain,
    ( op2(e23,e20) = e23
    | op2(e23,e23) != e20 ),
    inference(split_conjunct,[status(thm)],[299]) ).

cnf(306,plain,
    ( op2(e22,e23) = e22
    | op2(e22,e22) != e23 ),
    inference(split_conjunct,[status(thm)],[299]) ).

cnf(316,plain,
    ( op2(e20,e21) = e20
    | op2(e20,e20) != e21 ),
    inference(split_conjunct,[status(thm)],[299]) ).

cnf(319,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(split_conjunct,[status(thm)],[16]) ).

cnf(320,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(split_conjunct,[status(thm)],[16]) ).

cnf(321,plain,
    e10 = op1(e13,e13),
    inference(split_conjunct,[status(thm)],[16]) ).

cnf(322,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(split_conjunct,[status(thm)],[17]) ).

cnf(323,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(split_conjunct,[status(thm)],[17]) ).

cnf(324,plain,
    e20 = op2(e23,e23),
    inference(split_conjunct,[status(thm)],[17]) ).

fof(325,negated_conjecture,
    ( ( ~ epred9_0
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( ~ epred10_0
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( ~ epred11_0
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) )
    & ( ~ epred12_0
      | ( h4(e10) != e23
        & h4(e11) != e23
        & h4(e12) != e23
        & h4(e13) != e23 ) ) ),
    inference(fof_nnf,[status(thm)],[36]) ).

fof(326,negated_conjecture,
    ( ( h1(e10) != e23
      | ~ epred9_0 )
    & ( h1(e11) != e23
      | ~ epred9_0 )
    & ( h1(e12) != e23
      | ~ epred9_0 )
    & ( h1(e13) != e23
      | ~ epred9_0 )
    & ( h2(e10) != e23
      | ~ epred10_0 )
    & ( h2(e11) != e23
      | ~ epred10_0 )
    & ( h2(e12) != e23
      | ~ epred10_0 )
    & ( h2(e13) != e23
      | ~ epred10_0 )
    & ( h3(e10) != e23
      | ~ epred11_0 )
    & ( h3(e11) != e23
      | ~ epred11_0 )
    & ( h3(e12) != e23
      | ~ epred11_0 )
    & ( h3(e13) != e23
      | ~ epred11_0 )
    & ( h4(e10) != e23
      | ~ epred12_0 )
    & ( h4(e11) != e23
      | ~ epred12_0 )
    & ( h4(e12) != e23
      | ~ epred12_0 )
    & ( h4(e13) != e23
      | ~ epred12_0 ) ),
    inference(distribute,[status(thm)],[325]) ).

cnf(327,negated_conjecture,
    ( ~ epred12_0
    | h4(e13) != e23 ),
    inference(split_conjunct,[status(thm)],[326]) ).

fof(935,plain,
    ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
    | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
    | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
    | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
    | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
    | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
    | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
    | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
    | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
    | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
    | ( h4(e10) != e20
      & h4(e11) != e20
      & h4(e12) != e20
      & h4(e13) != e20 )
    | ( h4(e10) != e21
      & h4(e11) != e21
      & h4(e12) != e21
      & h4(e13) != e21 )
    | ( h4(e10) != e22
      & h4(e11) != e22
      & h4(e12) != e22
      & h4(e13) != e22 )
    | epred12_0 ),
    inference(fof_nnf,[status(thm)],[33]) ).

fof(936,plain,
    ( ( h4(e10) != e22
      | h4(e10) != e21
      | h4(e10) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e11) != e22
      | h4(e10) != e21
      | h4(e10) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e12) != e22
      | h4(e10) != e21
      | h4(e10) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e13) != e22
      | h4(e10) != e21
      | h4(e10) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e10) != e22
      | h4(e11) != e21
      | h4(e10) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e11) != e22
      | h4(e11) != e21
      | h4(e10) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e12) != e22
      | h4(e11) != e21
      | h4(e10) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e13) != e22
      | h4(e11) != e21
      | h4(e10) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e10) != e22
      | h4(e12) != e21
      | h4(e10) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e11) != e22
      | h4(e12) != e21
      | h4(e10) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e12) != e22
      | h4(e12) != e21
      | h4(e10) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e13) != e22
      | h4(e12) != e21
      | h4(e10) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e10) != e22
      | h4(e13) != e21
      | h4(e10) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e11) != e22
      | h4(e13) != e21
      | h4(e10) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e12) != e22
      | h4(e13) != e21
      | h4(e10) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e13) != e22
      | h4(e13) != e21
      | h4(e10) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e10) != e22
      | h4(e10) != e21
      | h4(e11) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e11) != e22
      | h4(e10) != e21
      | h4(e11) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e12) != e22
      | h4(e10) != e21
      | h4(e11) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e13) != e22
      | h4(e10) != e21
      | h4(e11) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e10) != e22
      | h4(e11) != e21
      | h4(e11) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e11) != e22
      | h4(e11) != e21
      | h4(e11) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e12) != e22
      | h4(e11) != e21
      | h4(e11) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e13) != e22
      | h4(e11) != e21
      | h4(e11) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e10) != e22
      | h4(e12) != e21
      | h4(e11) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e11) != e22
      | h4(e12) != e21
      | h4(e11) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e12) != e22
      | h4(e12) != e21
      | h4(e11) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e13) != e22
      | h4(e12) != e21
      | h4(e11) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e10) != e22
      | h4(e13) != e21
      | h4(e11) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e11) != e22
      | h4(e13) != e21
      | h4(e11) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e12) != e22
      | h4(e13) != e21
      | h4(e11) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e13) != e22
      | h4(e13) != e21
      | h4(e11) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e10) != e22
      | h4(e10) != e21
      | h4(e12) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e11) != e22
      | h4(e10) != e21
      | h4(e12) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e12) != e22
      | h4(e10) != e21
      | h4(e12) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e13) != e22
      | h4(e10) != e21
      | h4(e12) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e10) != e22
      | h4(e11) != e21
      | h4(e12) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e11) != e22
      | h4(e11) != e21
      | h4(e12) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e12) != e22
      | h4(e11) != e21
      | h4(e12) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e13) != e22
      | h4(e11) != e21
      | h4(e12) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e10) != e22
      | h4(e12) != e21
      | h4(e12) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e11) != e22
      | h4(e12) != e21
      | h4(e12) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e12) != e22
      | h4(e12) != e21
      | h4(e12) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e13) != e22
      | h4(e12) != e21
      | h4(e12) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e10) != e22
      | h4(e13) != e21
      | h4(e12) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e11) != e22
      | h4(e13) != e21
      | h4(e12) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e12) != e22
      | h4(e13) != e21
      | h4(e12) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e13) != e22
      | h4(e13) != e21
      | h4(e12) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e10) != e22
      | h4(e10) != e21
      | h4(e13) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e11) != e22
      | h4(e10) != e21
      | h4(e13) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e12) != e22
      | h4(e10) != e21
      | h4(e13) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e13) != e22
      | h4(e10) != e21
      | h4(e13) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e10) != e22
      | h4(e11) != e21
      | h4(e13) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e11) != e22
      | h4(e11) != e21
      | h4(e13) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e12) != e22
      | h4(e11) != e21
      | h4(e13) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e13) != e22
      | h4(e11) != e21
      | h4(e13) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e10) != e22
      | h4(e12) != e21
      | h4(e13) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e11) != e22
      | h4(e12) != e21
      | h4(e13) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e12) != e22
      | h4(e12) != e21
      | h4(e13) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e13) != e22
      | h4(e12) != e21
      | h4(e13) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e10) != e22
      | h4(e13) != e21
      | h4(e13) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e11) != e22
      | h4(e13) != e21
      | h4(e13) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e12) != e22
      | h4(e13) != e21
      | h4(e13) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 )
    & ( h4(e13) != e22
      | h4(e13) != e21
      | h4(e13) != e20
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | epred12_0 ) ),
    inference(distribute,[status(thm)],[935]) ).

cnf(994,plain,
    ( epred12_0
    | 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))
    | h4(e10) != e20
    | h4(e11) != e21
    | h4(e12) != e22 ),
    inference(split_conjunct,[status(thm)],[936]) ).

cnf(1001,plain,
    e20 = h4(e10),
    inference(rw,[status(thm)],[277,324,theory(equality)]) ).

cnf(1014,negated_conjecture,
    ( $false
    | ~ epred12_0 ),
    inference(rw,[status(thm)],[327,278,theory(equality)]) ).

cnf(1015,negated_conjecture,
    ~ epred12_0,
    inference(cn,[status(thm)],[1014,theory(equality)]) ).

cnf(1018,plain,
    ( op1(e13,e10) = e13
    | $false ),
    inference(rw,[status(thm)],[285,321,theory(equality)]) ).

cnf(1019,plain,
    op1(e13,e10) = e13,
    inference(cn,[status(thm)],[1018,theory(equality)]) ).

cnf(1025,plain,
    op1(e10,e10) = e11,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[320,321,theory(equality)]),321,theory(equality)]) ).

cnf(1027,plain,
    e11 != op1(e10,e13),
    inference(rw,[status(thm)],[214,1025,theory(equality)]) ).

cnf(1032,plain,
    ( op1(e10,e11) = e10
    | $false ),
    inference(rw,[status(thm)],[296,1025,theory(equality)]) ).

cnf(1033,plain,
    op1(e10,e11) = e10,
    inference(cn,[status(thm)],[1032,theory(equality)]) ).

cnf(1034,plain,
    ( op2(e23,e20) = e23
    | $false ),
    inference(rw,[status(thm)],[305,324,theory(equality)]) ).

cnf(1035,plain,
    op2(e23,e20) = e23,
    inference(cn,[status(thm)],[1034,theory(equality)]) ).

cnf(1036,plain,
    ( op2(e20,e21) = e20
    | h1(e10) != e21 ),
    inference(rw,[status(thm)],[316,265,theory(equality)]) ).

cnf(1042,plain,
    h1(e10) = e21,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[323,324,theory(equality)]),324,theory(equality)]),265,theory(equality)]) ).

cnf(1045,plain,
    ( op2(e20,e21) = e20
    | $false ),
    inference(rw,[status(thm)],[1036,1042,theory(equality)]) ).

cnf(1046,plain,
    op2(e20,e21) = e20,
    inference(cn,[status(thm)],[1045,theory(equality)]) ).

cnf(1051,plain,
    e21 = h4(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[276,324,theory(equality)]),324,theory(equality)]),265,theory(equality)]),1042,theory(equality)]) ).

cnf(1057,plain,
    op1(e11,e13) = e12,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[319,321,theory(equality)]),321,theory(equality)]),1025,theory(equality)]) ).

cnf(1060,plain,
    op1(e11,e10) != e12,
    inference(rw,[status(thm)],[208,1057,theory(equality)]) ).

cnf(1062,plain,
    ( e12 = e11
    | op1(e11,e11) != e13 ),
    inference(rw,[status(thm)],[290,1057,theory(equality)]) ).

cnf(1063,plain,
    op1(e11,e11) != e13,
    inference(sr,[status(thm)],[1062,157,theory(equality)]) ).

cnf(1064,plain,
    op2(e21,e23) = e22,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[322,324,theory(equality)]),324,theory(equality)]),265,theory(equality)]),1042,theory(equality)]) ).

cnf(1066,plain,
    e22 = h4(e12),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[275,324,theory(equality)]),324,theory(equality)]),265,theory(equality)]),1042,theory(equality)]),1064,theory(equality)]) ).

cnf(1072,plain,
    e13 != op1(e11,e10),
    inference(rw,[status(thm)],[236,1019,theory(equality)]) ).

cnf(1074,plain,
    op2(e21,e21) = h1(e11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[264,265,theory(equality)]),1042,theory(equality)]),265,theory(equality)]),1042,theory(equality)]) ).

cnf(1078,plain,
    op1(e13,e11) != e13,
    inference(rw,[status(thm)],[198,1019,theory(equality)]) ).

cnf(1098,plain,
    e10 != op1(e12,e13),
    inference(rw,[status(thm)],[217,321,theory(equality)]) ).

cnf(1117,plain,
    e20 != op2(e20,e23),
    inference(rw,[status(thm)],[134,324,theory(equality)]) ).

cnf(1138,plain,
    e22 != op2(e20,e23),
    inference(rw,[status(thm)],[136,1064,theory(equality)]) ).

cnf(1151,plain,
    op2(e20,e23) != e21,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[128,265,theory(equality)]),1042,theory(equality)]) ).

cnf(1170,plain,
    e22 != op2(e21,e20),
    inference(rw,[status(thm)],[122,1064,theory(equality)]) ).

cnf(1184,plain,
    op2(e21,e20) != e21,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[154,265,theory(equality)]),1042,theory(equality)]) ).

cnf(1202,plain,
    e23 != op2(e21,e20),
    inference(rw,[status(thm)],[150,1035,theory(equality)]) ).

cnf(1204,plain,
    op2(e23,e21) != h1(e11),
    inference(rw,[status(thm)],[144,1074,theory(equality)]) ).

cnf(1230,plain,
    op2(e22,e21) != h1(e11),
    inference(rw,[status(thm)],[145,1074,theory(equality)]) ).

cnf(1242,plain,
    ( e11 = e10
    | op1(e11,e10) = e10
    | op1(e12,e10) = e10
    | op1(e13,e10) = e10 ),
    inference(rw,[status(thm)],[73,1025,theory(equality)]) ).

cnf(1243,plain,
    ( e11 = e10
    | op1(e11,e10) = e10
    | op1(e12,e10) = e10
    | e13 = e10 ),
    inference(rw,[status(thm)],[1242,1019,theory(equality)]) ).

cnf(1244,plain,
    ( op1(e11,e10) = e10
    | op1(e12,e10) = e10
    | e10 = e13 ),
    inference(sr,[status(thm)],[1243,160,theory(equality)]) ).

cnf(1245,plain,
    ( op1(e11,e10) = e10
    | op1(e12,e10) = e10 ),
    inference(sr,[status(thm)],[1244,158,theory(equality)]) ).

cnf(1253,plain,
    ( e11 = e10
    | op1(e11,e11) = e11
    | op1(e12,e12) = e12
    | op1(e13,e13) = e13 ),
    inference(rw,[status(thm)],[298,1025,theory(equality)]) ).

cnf(1254,plain,
    ( e11 = e10
    | op1(e11,e11) = e11
    | op1(e12,e12) = e12
    | e10 = e13 ),
    inference(rw,[status(thm)],[1253,321,theory(equality)]) ).

cnf(1255,plain,
    ( op1(e11,e11) = e11
    | op1(e12,e12) = e12
    | e10 = e13 ),
    inference(sr,[status(thm)],[1254,160,theory(equality)]) ).

cnf(1256,plain,
    ( op1(e11,e11) = e11
    | op1(e12,e12) = e12 ),
    inference(sr,[status(thm)],[1255,158,theory(equality)]) ).

cnf(1270,plain,
    ( e11 = e12
    | op1(e10,e11) = e12
    | op1(e10,e12) = e12
    | op1(e10,e13) = e12 ),
    inference(rw,[status(thm)],[70,1025,theory(equality)]) ).

cnf(1271,plain,
    ( op1(e10,e11) = e12
    | op1(e10,e12) = e12
    | op1(e10,e13) = e12 ),
    inference(sr,[status(thm)],[1270,157,theory(equality)]) ).

cnf(1277,plain,
    ( e11 = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | op1(e13,e10) = e12 ),
    inference(rw,[status(thm)],[69,1025,theory(equality)]) ).

cnf(1278,plain,
    ( e11 = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | e13 = e12 ),
    inference(rw,[status(thm)],[1277,1019,theory(equality)]) ).

cnf(1279,plain,
    ( op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | e12 = e13 ),
    inference(sr,[status(thm)],[1278,157,theory(equality)]) ).

cnf(1280,plain,
    ( op1(e11,e10) = e12
    | op1(e12,e10) = e12 ),
    inference(sr,[status(thm)],[1279,155,theory(equality)]) ).

cnf(1333,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13 ),
    inference(sr,[status(thm)],[59,1078,theory(equality)]) ).

cnf(1432,plain,
    ( op1(e10,e13) = e11
    | e12 = e11
    | op1(e12,e13) = e11
    | op1(e13,e13) = e11 ),
    inference(rw,[status(thm)],[47,1057,theory(equality)]) ).

cnf(1433,plain,
    ( op1(e10,e13) = e11
    | e12 = e11
    | op1(e12,e13) = e11
    | e10 = e11 ),
    inference(rw,[status(thm)],[1432,321,theory(equality)]) ).

cnf(1434,plain,
    ( op1(e10,e13) = e11
    | op1(e12,e13) = e11
    | e11 = e10 ),
    inference(sr,[status(thm)],[1433,157,theory(equality)]) ).

cnf(1435,plain,
    ( op1(e10,e13) = e11
    | op1(e12,e13) = e11 ),
    inference(sr,[status(thm)],[1434,160,theory(equality)]) ).

cnf(1446,plain,
    ( op1(e10,e13) = e13
    | e12 = e13
    | op1(e12,e13) = e13
    | op1(e13,e13) = e13 ),
    inference(rw,[status(thm)],[43,1057,theory(equality)]) ).

cnf(1447,plain,
    ( op1(e10,e13) = e13
    | e12 = e13
    | op1(e12,e13) = e13
    | e10 = e13 ),
    inference(rw,[status(thm)],[1446,321,theory(equality)]) ).

cnf(1448,plain,
    ( op1(e10,e13) = e13
    | op1(e12,e13) = e13
    | e10 = e13 ),
    inference(sr,[status(thm)],[1447,155,theory(equality)]) ).

cnf(1449,plain,
    ( op1(e10,e13) = e13
    | op1(e12,e13) = e13 ),
    inference(sr,[status(thm)],[1448,158,theory(equality)]) ).

cnf(1476,plain,
    ( op1(e11,e10) = e13
    | op1(e11,e11) = e13
    | op1(e11,e12) = e13
    | e12 = e13 ),
    inference(rw,[status(thm)],[60,1057,theory(equality)]) ).

cnf(1477,plain,
    ( op1(e11,e11) = e13
    | op1(e11,e12) = e13
    | e12 = e13 ),
    inference(sr,[status(thm)],[1476,1072,theory(equality)]) ).

cnf(1478,plain,
    ( op1(e11,e11) = e13
    | op1(e11,e12) = e13 ),
    inference(sr,[status(thm)],[1477,155,theory(equality)]) ).

cnf(1532,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e11) = e10
    | op1(e12,e12) = e10 ),
    inference(sr,[status(thm)],[58,1098,theory(equality)]) ).

cnf(1678,plain,
    ( e13 = e11
    | op1(e13,e11) = e11
    | op1(e13,e12) = e11
    | op1(e13,e13) = e11 ),
    inference(rw,[status(thm)],[48,1019,theory(equality)]) ).

cnf(1679,plain,
    ( e13 = e11
    | op1(e13,e11) = e11
    | op1(e13,e12) = e11
    | e10 = e11 ),
    inference(rw,[status(thm)],[1678,321,theory(equality)]) ).

cnf(1680,plain,
    ( op1(e13,e11) = e11
    | op1(e13,e12) = e11
    | e11 = e10 ),
    inference(sr,[status(thm)],[1679,156,theory(equality)]) ).

cnf(1681,plain,
    ( op1(e13,e11) = e11
    | op1(e13,e12) = e11 ),
    inference(sr,[status(thm)],[1680,160,theory(equality)]) ).

cnf(1693,plain,
    ( e13 = e12
    | op1(e13,e11) = e12
    | op1(e13,e12) = e12
    | op1(e13,e13) = e12 ),
    inference(rw,[status(thm)],[46,1019,theory(equality)]) ).

cnf(1694,plain,
    ( e13 = e12
    | op1(e13,e11) = e12
    | op1(e13,e12) = e12
    | e10 = e12 ),
    inference(rw,[status(thm)],[1693,321,theory(equality)]) ).

cnf(1695,plain,
    ( op1(e13,e11) = e12
    | op1(e13,e12) = e12
    | e12 = e10 ),
    inference(sr,[status(thm)],[1694,155,theory(equality)]) ).

cnf(1696,plain,
    ( op1(e13,e11) = e12
    | op1(e13,e12) = e12 ),
    inference(sr,[status(thm)],[1695,159,theory(equality)]) ).

cnf(2256,plain,
    ( e21 = e22
    | op2(e20,e21) = e22
    | op2(e20,e22) = e22
    | op2(e20,e23) = e22 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[188,265,theory(equality)]),1042,theory(equality)]) ).

cnf(2257,plain,
    ( op2(e20,e21) = e22
    | op2(e20,e22) = e22
    | op2(e20,e23) = e22 ),
    inference(sr,[status(thm)],[2256,243,theory(equality)]) ).

cnf(2258,plain,
    ( op2(e20,e21) = e22
    | op2(e20,e22) = e22 ),
    inference(sr,[status(thm)],[2257,1138,theory(equality)]) ).

cnf(2321,plain,
    ( e21 = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22
    | op2(e23,e20) = e22 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[187,265,theory(equality)]),1042,theory(equality)]) ).

cnf(2322,plain,
    ( e21 = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22
    | e23 = e22 ),
    inference(rw,[status(thm)],[2321,1035,theory(equality)]) ).

cnf(2323,plain,
    ( op2(e21,e20) = e22
    | op2(e22,e20) = e22
    | e22 = e23 ),
    inference(sr,[status(thm)],[2322,243,theory(equality)]) ).

cnf(2324,plain,
    ( op2(e22,e20) = e22
    | e22 = e23 ),
    inference(sr,[status(thm)],[2323,1170,theory(equality)]) ).

cnf(2325,plain,
    op2(e22,e20) = e22,
    inference(sr,[status(thm)],[2324,241,theory(equality)]) ).

cnf(2670,plain,
    ( op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(sr,[status(thm)],[87,1117,theory(equality)]) ).

cnf(2671,plain,
    ( op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(sr,[status(thm)],[2670,1151,theory(equality)]) ).

cnf(2672,plain,
    op2(e20,e23) = e23,
    inference(sr,[status(thm)],[2671,1138,theory(equality)]) ).

cnf(2711,plain,
    ( e23 = e21
    | op2(e21,e23) = e21
    | op2(e22,e23) = e21
    | op2(e23,e23) = e21 ),
    inference(rw,[status(thm)],[165,2672,theory(equality)]) ).

cnf(2712,plain,
    ( e23 = e21
    | e22 = e21
    | op2(e22,e23) = e21
    | op2(e23,e23) = e21 ),
    inference(rw,[status(thm)],[2711,1064,theory(equality)]) ).

cnf(2713,plain,
    ( e23 = e21
    | e22 = e21
    | op2(e22,e23) = e21
    | e20 = e21 ),
    inference(rw,[status(thm)],[2712,324,theory(equality)]) ).

cnf(2714,plain,
    ( e22 = e21
    | op2(e22,e23) = e21
    | e21 = e20 ),
    inference(sr,[status(thm)],[2713,242,theory(equality)]) ).

cnf(2715,plain,
    ( op2(e22,e23) = e21
    | e21 = e20 ),
    inference(sr,[status(thm)],[2714,243,theory(equality)]) ).

cnf(2716,plain,
    op2(e22,e23) = e21,
    inference(sr,[status(thm)],[2715,246,theory(equality)]) ).

cnf(2737,plain,
    ( op2(e21,e20) = e20
    | op2(e21,e20) = e22
    | op2(e21,e20) = e23 ),
    inference(sr,[status(thm)],[86,1184,theory(equality)]) ).

cnf(2738,plain,
    ( op2(e21,e20) = e20
    | op2(e21,e20) = e23 ),
    inference(sr,[status(thm)],[2737,1170,theory(equality)]) ).

cnf(2739,plain,
    op2(e21,e20) = e20,
    inference(sr,[status(thm)],[2738,1202,theory(equality)]) ).

cnf(2768,plain,
    ( e20 = e21
    | op2(e21,e21) = e21
    | op2(e21,e22) = e21
    | op2(e21,e23) = e21 ),
    inference(rw,[status(thm)],[182,2739,theory(equality)]) ).

cnf(2769,plain,
    ( e20 = e21
    | h1(e11) = e21
    | op2(e21,e22) = e21
    | op2(e21,e23) = e21 ),
    inference(rw,[status(thm)],[2768,1074,theory(equality)]) ).

cnf(2770,plain,
    ( e20 = e21
    | h1(e11) = e21
    | op2(e21,e22) = e21
    | e22 = e21 ),
    inference(rw,[status(thm)],[2769,1064,theory(equality)]) ).

cnf(2771,plain,
    ( h1(e11) = e21
    | op2(e21,e22) = e21
    | e22 = e21 ),
    inference(sr,[status(thm)],[2770,246,theory(equality)]) ).

cnf(2772,plain,
    ( h1(e11) = e21
    | op2(e21,e22) = e21 ),
    inference(sr,[status(thm)],[2771,243,theory(equality)]) ).

cnf(2795,plain,
    ( e20 = e23
    | op2(e21,e21) = e23
    | op2(e21,e22) = e23
    | op2(e21,e23) = e23 ),
    inference(rw,[status(thm)],[178,2739,theory(equality)]) ).

cnf(2796,plain,
    ( e20 = e23
    | h1(e11) = e23
    | op2(e21,e22) = e23
    | op2(e21,e23) = e23 ),
    inference(rw,[status(thm)],[2795,1074,theory(equality)]) ).

cnf(2797,plain,
    ( e20 = e23
    | h1(e11) = e23
    | op2(e21,e22) = e23
    | e22 = e23 ),
    inference(rw,[status(thm)],[2796,1064,theory(equality)]) ).

cnf(2798,plain,
    ( h1(e11) = e23
    | op2(e21,e22) = e23
    | e22 = e23 ),
    inference(sr,[status(thm)],[2797,244,theory(equality)]) ).

cnf(2799,plain,
    ( h1(e11) = e23
    | op2(e21,e22) = e23 ),
    inference(sr,[status(thm)],[2798,241,theory(equality)]) ).

cnf(2804,plain,
    ( e23 = e21
    | h1(e11) = e21
    | h1(e11) = e23 ),
    inference(spm,[status(thm)],[2772,2799,theory(equality)]) ).

cnf(2805,plain,
    ( h1(e11) = e21
    | h1(e11) = e23 ),
    inference(sr,[status(thm)],[2804,242,theory(equality)]) ).

cnf(2828,plain,
    ( e22 = e23
    | op2(e22,e21) = e23
    | op2(e22,e22) = e23
    | op2(e22,e23) = e23 ),
    inference(rw,[status(thm)],[170,2325,theory(equality)]) ).

cnf(2829,plain,
    ( e22 = e23
    | op2(e22,e21) = e23
    | op2(e22,e22) = e23
    | e21 = e23 ),
    inference(rw,[status(thm)],[2828,2716,theory(equality)]) ).

cnf(2830,plain,
    ( op2(e22,e21) = e23
    | op2(e22,e22) = e23
    | e21 = e23 ),
    inference(sr,[status(thm)],[2829,241,theory(equality)]) ).

cnf(2831,plain,
    ( op2(e22,e21) = e23
    | op2(e22,e22) = e23 ),
    inference(sr,[status(thm)],[2830,242,theory(equality)]) ).

cnf(2866,plain,
    ( e23 = e21
    | op2(e23,e21) = e21
    | op2(e23,e22) = e21
    | op2(e23,e23) = e21 ),
    inference(rw,[status(thm)],[166,1035,theory(equality)]) ).

cnf(2867,plain,
    ( e23 = e21
    | op2(e23,e21) = e21
    | op2(e23,e22) = e21
    | e20 = e21 ),
    inference(rw,[status(thm)],[2866,324,theory(equality)]) ).

cnf(2868,plain,
    ( op2(e23,e21) = e21
    | op2(e23,e22) = e21
    | e21 = e20 ),
    inference(sr,[status(thm)],[2867,242,theory(equality)]) ).

cnf(2869,plain,
    ( op2(e23,e21) = e21
    | op2(e23,e22) = e21 ),
    inference(sr,[status(thm)],[2868,246,theory(equality)]) ).

cnf(2873,plain,
    ( e23 = e22
    | op2(e23,e21) = e22
    | op2(e23,e22) = e22
    | op2(e23,e23) = e22 ),
    inference(rw,[status(thm)],[164,1035,theory(equality)]) ).

cnf(2874,plain,
    ( e23 = e22
    | op2(e23,e21) = e22
    | op2(e23,e22) = e22
    | e20 = e22 ),
    inference(rw,[status(thm)],[2873,324,theory(equality)]) ).

cnf(2875,plain,
    ( op2(e23,e21) = e22
    | op2(e23,e22) = e22
    | e22 = e20 ),
    inference(sr,[status(thm)],[2874,241,theory(equality)]) ).

cnf(2876,plain,
    ( op2(e23,e21) = e22
    | op2(e23,e22) = e22 ),
    inference(sr,[status(thm)],[2875,245,theory(equality)]) ).

cnf(2896,plain,
    ( e22 = e20
    | op2(e22,e21) = e20
    | op2(e22,e22) = e20
    | op2(e22,e23) = e20 ),
    inference(rw,[status(thm)],[176,2325,theory(equality)]) ).

cnf(2897,plain,
    ( e22 = e20
    | op2(e22,e21) = e20
    | op2(e22,e22) = e20
    | e21 = e20 ),
    inference(rw,[status(thm)],[2896,2716,theory(equality)]) ).

cnf(2898,plain,
    ( op2(e22,e21) = e20
    | op2(e22,e22) = e20
    | e21 = e20 ),
    inference(sr,[status(thm)],[2897,245,theory(equality)]) ).

cnf(2899,plain,
    ( op2(e22,e21) = e20
    | op2(e22,e22) = e20 ),
    inference(sr,[status(thm)],[2898,246,theory(equality)]) ).

cnf(6744,plain,
    ( epred12_0
    | $false
    | h4(e11) != e21
    | h4(e12) != e22
    | op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
    | op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
    | op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
    | op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
    | op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
    | op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
    | op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
    | op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
    | op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
    | op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
    | op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
    | op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
    | op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
    | op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
    | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
    | op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
    inference(rw,[status(thm)],[994,1001,theory(equality)]) ).

cnf(6745,plain,
    ( epred12_0
    | $false
    | $false
    | h4(e12) != e22
    | op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
    | op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
    | op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
    | op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
    | op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
    | op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
    | op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
    | op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
    | op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
    | op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
    | op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
    | op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
    | op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
    | op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
    | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
    | op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
    inference(rw,[status(thm)],[6744,1051,theory(equality)]) ).

cnf(6746,plain,
    ( epred12_0
    | $false
    | $false
    | $false
    | op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
    | op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
    | op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
    | op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
    | op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
    | op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
    | op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
    | op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
    | op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
    | op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
    | op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
    | op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
    | op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
    | op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
    | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
    | op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
    inference(rw,[status(thm)],[6745,1066,theory(equality)]) ).

cnf(6747,plain,
    ( epred12_0
    | $false
    | $false
    | $false
    | e21 != h4(op1(e10,e10))
    | op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
    | op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
    | op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
    | op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
    | op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
    | op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
    | op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
    | op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
    | op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
    | op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
    | op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
    | op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
    | op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
    | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
    | op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6746,1001,theory(equality)]),1001,theory(equality)]),265,theory(equality)]),1042,theory(equality)]) ).

cnf(6748,plain,
    ( epred12_0
    | $false
    | $false
    | $false
    | $false
    | op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
    | op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
    | op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
    | op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
    | op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
    | op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
    | op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
    | op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
    | op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
    | op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
    | op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
    | op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
    | op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
    | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
    | op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[6747,1025,theory(equality)]),1051,theory(equality)]) ).

cnf(6749,plain,
    ( epred12_0
    | $false
    | $false
    | $false
    | $false
    | op2(e20,e21) != h4(op1(e10,e11))
    | op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
    | op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
    | op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
    | op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
    | op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
    | op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
    | op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
    | op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
    | op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
    | op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
    | op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
    | op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
    | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
    | op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[6748,1001,theory(equality)]),1051,theory(equality)]) ).

cnf(6750,plain,
    ( epred12_0
    | $false
    | $false
    | $false
    | $false
    | op2(e20,e21) != h4(op1(e10,e11))
    | op2(e20,e22) != h4(op1(e10,e12))
    | op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
    | op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
    | op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
    | op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
    | op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
    | op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
    | op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
    | op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
    | op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
    | op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
    | op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
    | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
    | op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[6749,1001,theory(equality)]),1066,theory(equality)]) ).

cnf(6751,plain,
    ( epred12_0
    | $false
    | $false
    | $false
    | $false
    | op2(e20,e21) != h4(op1(e10,e11))
    | op2(e20,e22) != h4(op1(e10,e12))
    | e23 != h4(op1(e10,e13))
    | op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
    | op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
    | op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
    | op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
    | op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
    | op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
    | op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
    | op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
    | op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
    | op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
    | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
    | op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6750,1001,theory(equality)]),278,theory(equality)]),2672,theory(equality)]) ).

cnf(6752,plain,
    ( epred12_0
    | $false
    | $false
    | $false
    | $false
    | op2(e20,e21) != h4(op1(e10,e11))
    | op2(e20,e22) != h4(op1(e10,e12))
    | e23 != h4(op1(e10,e13))
    | e20 != h4(op1(e11,e10))
    | op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
    | op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
    | op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
    | op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
    | op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
    | op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
    | op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
    | op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
    | op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
    | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
    | op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6751,1051,theory(equality)]),1001,theory(equality)]),2739,theory(equality)]) ).

cnf(6753,plain,
    ( epred12_0
    | $false
    | $false
    | $false
    | $false
    | op2(e20,e21) != h4(op1(e10,e11))
    | op2(e20,e22) != h4(op1(e10,e12))
    | e23 != h4(op1(e10,e13))
    | e20 != h4(op1(e11,e10))
    | h1(e11) != h4(op1(e11,e11))
    | op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
    | op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
    | op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
    | op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
    | op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
    | op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
    | op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
    | op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
    | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
    | op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6752,1051,theory(equality)]),1051,theory(equality)]),1074,theory(equality)]) ).

cnf(6754,plain,
    ( epred12_0
    | $false
    | $false
    | $false
    | $false
    | op2(e20,e21) != h4(op1(e10,e11))
    | op2(e20,e22) != h4(op1(e10,e12))
    | e23 != h4(op1(e10,e13))
    | e20 != h4(op1(e11,e10))
    | h1(e11) != h4(op1(e11,e11))
    | op2(e21,e22) != h4(op1(e11,e12))
    | op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
    | op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
    | op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
    | op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
    | op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
    | op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
    | op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
    | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
    | op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[6753,1051,theory(equality)]),1066,theory(equality)]) ).

cnf(6755,plain,
    ( epred12_0
    | $false
    | $false
    | $false
    | $false
    | op2(e20,e21) != h4(op1(e10,e11))
    | op2(e20,e22) != h4(op1(e10,e12))
    | e23 != h4(op1(e10,e13))
    | e20 != h4(op1(e11,e10))
    | h1(e11) != h4(op1(e11,e11))
    | op2(e21,e22) != h4(op1(e11,e12))
    | e22 != h4(op1(e11,e13))
    | op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
    | op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
    | op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
    | op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
    | op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
    | op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
    | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
    | op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6754,1051,theory(equality)]),278,theory(equality)]),1064,theory(equality)]) ).

cnf(6756,plain,
    ( epred12_0
    | $false
    | $false
    | $false
    | $false
    | op2(e20,e21) != h4(op1(e10,e11))
    | op2(e20,e22) != h4(op1(e10,e12))
    | e23 != h4(op1(e10,e13))
    | e20 != h4(op1(e11,e10))
    | h1(e11) != h4(op1(e11,e11))
    | op2(e21,e22) != h4(op1(e11,e12))
    | $false
    | op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
    | op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
    | op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
    | op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
    | op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
    | op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
    | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
    | op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[6755,1057,theory(equality)]),1066,theory(equality)]) ).

cnf(6757,plain,
    ( epred12_0
    | $false
    | $false
    | $false
    | $false
    | op2(e20,e21) != h4(op1(e10,e11))
    | op2(e20,e22) != h4(op1(e10,e12))
    | e23 != h4(op1(e10,e13))
    | e20 != h4(op1(e11,e10))
    | h1(e11) != h4(op1(e11,e11))
    | op2(e21,e22) != h4(op1(e11,e12))
    | $false
    | e22 != h4(op1(e12,e10))
    | op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
    | op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
    | op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
    | op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
    | op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
    | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
    | op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6756,1066,theory(equality)]),1001,theory(equality)]),2325,theory(equality)]) ).

cnf(6758,plain,
    ( epred12_0
    | $false
    | $false
    | $false
    | $false
    | op2(e20,e21) != h4(op1(e10,e11))
    | op2(e20,e22) != h4(op1(e10,e12))
    | e23 != h4(op1(e10,e13))
    | e20 != h4(op1(e11,e10))
    | h1(e11) != h4(op1(e11,e11))
    | op2(e21,e22) != h4(op1(e11,e12))
    | $false
    | e22 != h4(op1(e12,e10))
    | op2(e22,e21) != h4(op1(e12,e11))
    | op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
    | op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
    | op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
    | op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
    | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
    | op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[6757,1066,theory(equality)]),1051,theory(equality)]) ).

cnf(6759,plain,
    ( epred12_0
    | $false
    | $false
    | $false
    | $false
    | op2(e20,e21) != h4(op1(e10,e11))
    | op2(e20,e22) != h4(op1(e10,e12))
    | e23 != h4(op1(e10,e13))
    | e20 != h4(op1(e11,e10))
    | h1(e11) != h4(op1(e11,e11))
    | op2(e21,e22) != h4(op1(e11,e12))
    | $false
    | e22 != h4(op1(e12,e10))
    | op2(e22,e21) != h4(op1(e12,e11))
    | op2(e22,e22) != h4(op1(e12,e12))
    | op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
    | op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
    | op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
    | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
    | op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[6758,1066,theory(equality)]),1066,theory(equality)]) ).

cnf(6760,plain,
    ( epred12_0
    | $false
    | $false
    | $false
    | $false
    | op2(e20,e21) != h4(op1(e10,e11))
    | op2(e20,e22) != h4(op1(e10,e12))
    | e23 != h4(op1(e10,e13))
    | e20 != h4(op1(e11,e10))
    | h1(e11) != h4(op1(e11,e11))
    | op2(e21,e22) != h4(op1(e11,e12))
    | $false
    | e22 != h4(op1(e12,e10))
    | op2(e22,e21) != h4(op1(e12,e11))
    | op2(e22,e22) != h4(op1(e12,e12))
    | e21 != h4(op1(e12,e13))
    | op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
    | op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
    | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
    | op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6759,1066,theory(equality)]),278,theory(equality)]),2716,theory(equality)]) ).

cnf(6761,plain,
    ( epred12_0
    | $false
    | $false
    | $false
    | $false
    | op2(e20,e21) != h4(op1(e10,e11))
    | op2(e20,e22) != h4(op1(e10,e12))
    | e23 != h4(op1(e10,e13))
    | e20 != h4(op1(e11,e10))
    | h1(e11) != h4(op1(e11,e11))
    | op2(e21,e22) != h4(op1(e11,e12))
    | $false
    | e22 != h4(op1(e12,e10))
    | op2(e22,e21) != h4(op1(e12,e11))
    | op2(e22,e22) != h4(op1(e12,e12))
    | e21 != h4(op1(e12,e13))
    | e23 != h4(op1(e13,e10))
    | op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
    | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
    | op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6760,278,theory(equality)]),1001,theory(equality)]),1035,theory(equality)]) ).

cnf(6762,plain,
    ( epred12_0
    | $false
    | $false
    | $false
    | $false
    | op2(e20,e21) != h4(op1(e10,e11))
    | op2(e20,e22) != h4(op1(e10,e12))
    | e23 != h4(op1(e10,e13))
    | e20 != h4(op1(e11,e10))
    | h1(e11) != h4(op1(e11,e11))
    | op2(e21,e22) != h4(op1(e11,e12))
    | $false
    | e22 != h4(op1(e12,e10))
    | op2(e22,e21) != h4(op1(e12,e11))
    | op2(e22,e22) != h4(op1(e12,e12))
    | e21 != h4(op1(e12,e13))
    | $false
    | op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
    | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
    | op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[6761,1019,theory(equality)]),278,theory(equality)]) ).

cnf(6763,plain,
    ( epred12_0
    | $false
    | $false
    | $false
    | $false
    | op2(e20,e21) != h4(op1(e10,e11))
    | op2(e20,e22) != h4(op1(e10,e12))
    | e23 != h4(op1(e10,e13))
    | e20 != h4(op1(e11,e10))
    | h1(e11) != h4(op1(e11,e11))
    | op2(e21,e22) != h4(op1(e11,e12))
    | $false
    | e22 != h4(op1(e12,e10))
    | op2(e22,e21) != h4(op1(e12,e11))
    | op2(e22,e22) != h4(op1(e12,e12))
    | e21 != h4(op1(e12,e13))
    | $false
    | op2(e23,e21) != h4(op1(e13,e11))
    | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
    | op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[6762,278,theory(equality)]),1051,theory(equality)]) ).

cnf(6764,plain,
    ( epred12_0
    | $false
    | $false
    | $false
    | $false
    | op2(e20,e21) != h4(op1(e10,e11))
    | op2(e20,e22) != h4(op1(e10,e12))
    | e23 != h4(op1(e10,e13))
    | e20 != h4(op1(e11,e10))
    | h1(e11) != h4(op1(e11,e11))
    | op2(e21,e22) != h4(op1(e11,e12))
    | $false
    | e22 != h4(op1(e12,e10))
    | op2(e22,e21) != h4(op1(e12,e11))
    | op2(e22,e22) != h4(op1(e12,e12))
    | e21 != h4(op1(e12,e13))
    | $false
    | op2(e23,e21) != h4(op1(e13,e11))
    | op2(e23,e22) != h4(op1(e13,e12))
    | op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[6763,278,theory(equality)]),1066,theory(equality)]) ).

cnf(6765,plain,
    ( epred12_0
    | $false
    | $false
    | $false
    | $false
    | op2(e20,e21) != h4(op1(e10,e11))
    | op2(e20,e22) != h4(op1(e10,e12))
    | e23 != h4(op1(e10,e13))
    | e20 != h4(op1(e11,e10))
    | h1(e11) != h4(op1(e11,e11))
    | op2(e21,e22) != h4(op1(e11,e12))
    | $false
    | e22 != h4(op1(e12,e10))
    | op2(e22,e21) != h4(op1(e12,e11))
    | op2(e22,e22) != h4(op1(e12,e12))
    | e21 != h4(op1(e12,e13))
    | $false
    | op2(e23,e21) != h4(op1(e13,e11))
    | op2(e23,e22) != h4(op1(e13,e12))
    | e20 != h4(op1(e13,e13)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6764,278,theory(equality)]),278,theory(equality)]),324,theory(equality)]) ).

cnf(6766,plain,
    ( epred12_0
    | $false
    | $false
    | $false
    | $false
    | op2(e20,e21) != h4(op1(e10,e11))
    | op2(e20,e22) != h4(op1(e10,e12))
    | e23 != h4(op1(e10,e13))
    | e20 != h4(op1(e11,e10))
    | h1(e11) != h4(op1(e11,e11))
    | op2(e21,e22) != h4(op1(e11,e12))
    | $false
    | e22 != h4(op1(e12,e10))
    | op2(e22,e21) != h4(op1(e12,e11))
    | op2(e22,e22) != h4(op1(e12,e12))
    | e21 != h4(op1(e12,e13))
    | $false
    | op2(e23,e21) != h4(op1(e13,e11))
    | op2(e23,e22) != h4(op1(e13,e12))
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[6765,321,theory(equality)]),1001,theory(equality)]) ).

cnf(6767,plain,
    ( epred12_0
    | op2(e20,e21) != h4(op1(e10,e11))
    | op2(e20,e22) != h4(op1(e10,e12))
    | e23 != h4(op1(e10,e13))
    | e20 != h4(op1(e11,e10))
    | h1(e11) != h4(op1(e11,e11))
    | op2(e21,e22) != h4(op1(e11,e12))
    | e22 != h4(op1(e12,e10))
    | op2(e22,e21) != h4(op1(e12,e11))
    | op2(e22,e22) != h4(op1(e12,e12))
    | e21 != h4(op1(e12,e13))
    | op2(e23,e21) != h4(op1(e13,e11))
    | op2(e23,e22) != h4(op1(e13,e12)) ),
    inference(cn,[status(thm)],[6766,theory(equality)]) ).

cnf(6768,plain,
    ( h4(op1(e10,e11)) != op2(e20,e21)
    | h4(op1(e10,e12)) != op2(e20,e22)
    | h4(op1(e10,e13)) != e23
    | h4(op1(e11,e10)) != e20
    | h4(op1(e11,e11)) != h1(e11)
    | h4(op1(e11,e12)) != op2(e21,e22)
    | h4(op1(e12,e10)) != e22
    | h4(op1(e12,e11)) != op2(e22,e21)
    | h4(op1(e12,e12)) != op2(e22,e22)
    | h4(op1(e12,e13)) != e21
    | h4(op1(e13,e11)) != op2(e23,e21)
    | h4(op1(e13,e12)) != op2(e23,e22) ),
    inference(sr,[status(thm)],[6767,1015,theory(equality)]) ).

cnf(8402,plain,
    op1(e12,e13) = e11,
    inference(sr,[status(thm)],[1435,1027,theory(equality)]) ).

cnf(8429,plain,
    ( op1(e12,e11) = e13
    | op1(e11,e11) = e13
    | e10 = e13 ),
    inference(rw,[status(thm)],[1333,1033,theory(equality)]) ).

cnf(8430,plain,
    ( op1(e12,e11) = e13
    | op1(e11,e11) = e13 ),
    inference(sr,[status(thm)],[8429,158,theory(equality)]) ).

cnf(8442,plain,
    ( op1(e10,e13) = e12
    | op1(e10,e12) = e12
    | e10 = e12 ),
    inference(rw,[status(thm)],[1271,1033,theory(equality)]) ).

cnf(8443,plain,
    ( op1(e10,e13) = e12
    | op1(e10,e12) = e12 ),
    inference(sr,[status(thm)],[8442,159,theory(equality)]) ).

cnf(8464,plain,
    ( e11 = e13
    | op1(e10,e13) = e13 ),
    inference(rw,[status(thm)],[1449,8402,theory(equality)]) ).

cnf(8465,plain,
    op1(e10,e13) = e13,
    inference(sr,[status(thm)],[8464,156,theory(equality)]) ).

cnf(8493,plain,
    ( op2(e20,e22) = e22
    | e20 = e22 ),
    inference(rw,[status(thm)],[2258,1046,theory(equality)]) ).

cnf(8494,plain,
    op2(e20,e22) = e22,
    inference(sr,[status(thm)],[8493,245,theory(equality)]) ).

cnf(8512,plain,
    op1(e12,e10) = e12,
    inference(sr,[status(thm)],[1280,1060,theory(equality)]) ).

cnf(8515,plain,
    op1(e12,e12) != e12,
    inference(rw,[status(thm)],[203,8512,theory(equality)]) ).

cnf(8527,plain,
    ( op1(e12,e12) = e10
    | op1(e12,e11) = e10
    | e12 = e10 ),
    inference(rw,[status(thm)],[1532,8512,theory(equality)]) ).

cnf(8528,plain,
    ( op1(e12,e12) = e10
    | op1(e12,e11) = e10 ),
    inference(sr,[status(thm)],[8527,159,theory(equality)]) ).

cnf(8532,plain,
    ( e12 = e10
    | op1(e11,e10) = e10 ),
    inference(rw,[status(thm)],[1245,8512,theory(equality)]) ).

cnf(8533,plain,
    op1(e11,e10) = e10,
    inference(sr,[status(thm)],[8532,159,theory(equality)]) ).

cnf(8554,plain,
    ( e21 = e22
    | op2(e22,e22) != e23 ),
    inference(rw,[status(thm)],[306,2716,theory(equality)]) ).

cnf(8555,plain,
    op2(e22,e22) != e23,
    inference(sr,[status(thm)],[8554,243,theory(equality)]) ).

cnf(8564,plain,
    op2(e22,e21) = e23,
    inference(sr,[status(thm)],[2831,8555,theory(equality)]) ).

cnf(8565,plain,
    e23 != h1(e11),
    inference(rw,[status(thm)],[1230,8564,theory(equality)]) ).

cnf(8575,plain,
    ( op2(e22,e22) = e20
    | e23 = e20 ),
    inference(rw,[status(thm)],[2899,8564,theory(equality)]) ).

cnf(8576,plain,
    op2(e22,e22) = e20,
    inference(sr,[status(thm)],[8575,244,theory(equality)]) ).

cnf(8581,plain,
    op2(e21,e22) = e23,
    inference(sr,[status(thm)],[2799,8565,theory(equality)]) ).

cnf(8582,plain,
    h1(e11) = e21,
    inference(sr,[status(thm)],[2805,8565,theory(equality)]) ).

cnf(8599,plain,
    op2(e23,e21) != e21,
    inference(rw,[status(thm)],[1204,8582,theory(equality)]) ).

cnf(8627,plain,
    op1(e11,e12) = e13,
    inference(sr,[status(thm)],[1478,1063,theory(equality)]) ).

cnf(8665,plain,
    op1(e11,e11) = e11,
    inference(sr,[status(thm)],[1256,8515,theory(equality)]) ).

cnf(8669,plain,
    e11 != op1(e13,e11),
    inference(rw,[status(thm)],[230,8665,theory(equality)]) ).

cnf(8733,plain,
    op1(e13,e12) = e11,
    inference(sr,[status(thm)],[1681,8669,theory(equality)]) ).

cnf(8742,plain,
    ( e11 = e12
    | op1(e13,e11) = e12 ),
    inference(rw,[status(thm)],[1696,8733,theory(equality)]) ).

cnf(8743,plain,
    op1(e13,e11) = e12,
    inference(sr,[status(thm)],[8742,157,theory(equality)]) ).

cnf(8777,plain,
    ( op1(e12,e11) = e13
    | e11 = e13 ),
    inference(rw,[status(thm)],[8430,8665,theory(equality)]) ).

cnf(8778,plain,
    op1(e12,e11) = e13,
    inference(sr,[status(thm)],[8777,156,theory(equality)]) ).

cnf(8789,plain,
    ( e13 = e12
    | op1(e10,e12) = e12 ),
    inference(rw,[status(thm)],[8443,8465,theory(equality)]) ).

cnf(8790,plain,
    op1(e10,e12) = e12,
    inference(sr,[status(thm)],[8789,155,theory(equality)]) ).

cnf(8800,plain,
    ( op1(e12,e12) = e10
    | e13 = e10 ),
    inference(rw,[status(thm)],[8528,8778,theory(equality)]) ).

cnf(8801,plain,
    op1(e12,e12) = e10,
    inference(sr,[status(thm)],[8800,158,theory(equality)]) ).

cnf(8811,plain,
    ( e20 != op2(e20,e21)
    | h4(op1(e10,e12)) != op2(e20,e22)
    | h4(op1(e11,e12)) != op2(e21,e22)
    | h4(op1(e12,e11)) != op2(e22,e21)
    | h4(op1(e12,e12)) != op2(e22,e22)
    | h4(op1(e13,e11)) != op2(e23,e21)
    | h4(op1(e13,e12)) != op2(e23,e22)
    | h4(op1(e11,e11)) != h1(e11)
    | h4(op1(e10,e13)) != e23
    | h4(op1(e11,e10)) != e20
    | h4(op1(e12,e10)) != e22
    | h4(op1(e12,e13)) != e21 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[6768,1033,theory(equality)]),1001,theory(equality)]) ).

cnf(8812,plain,
    ( $false
    | h4(op1(e10,e12)) != op2(e20,e22)
    | h4(op1(e11,e12)) != op2(e21,e22)
    | h4(op1(e12,e11)) != op2(e22,e21)
    | h4(op1(e12,e12)) != op2(e22,e22)
    | h4(op1(e13,e11)) != op2(e23,e21)
    | h4(op1(e13,e12)) != op2(e23,e22)
    | h4(op1(e11,e11)) != h1(e11)
    | h4(op1(e10,e13)) != e23
    | h4(op1(e11,e10)) != e20
    | h4(op1(e12,e10)) != e22
    | h4(op1(e12,e13)) != e21 ),
    inference(rw,[status(thm)],[8811,1046,theory(equality)]) ).

cnf(8813,plain,
    ( $false
    | e22 != op2(e20,e22)
    | h4(op1(e11,e12)) != op2(e21,e22)
    | h4(op1(e12,e11)) != op2(e22,e21)
    | h4(op1(e12,e12)) != op2(e22,e22)
    | h4(op1(e13,e11)) != op2(e23,e21)
    | h4(op1(e13,e12)) != op2(e23,e22)
    | h4(op1(e11,e11)) != h1(e11)
    | h4(op1(e10,e13)) != e23
    | h4(op1(e11,e10)) != e20
    | h4(op1(e12,e10)) != e22
    | h4(op1(e12,e13)) != e21 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[8812,8790,theory(equality)]),1066,theory(equality)]) ).

cnf(8814,plain,
    ( $false
    | $false
    | h4(op1(e11,e12)) != op2(e21,e22)
    | h4(op1(e12,e11)) != op2(e22,e21)
    | h4(op1(e12,e12)) != op2(e22,e22)
    | h4(op1(e13,e11)) != op2(e23,e21)
    | h4(op1(e13,e12)) != op2(e23,e22)
    | h4(op1(e11,e11)) != h1(e11)
    | h4(op1(e10,e13)) != e23
    | h4(op1(e11,e10)) != e20
    | h4(op1(e12,e10)) != e22
    | h4(op1(e12,e13)) != e21 ),
    inference(rw,[status(thm)],[8813,8494,theory(equality)]) ).

cnf(8815,plain,
    ( $false
    | $false
    | e23 != op2(e21,e22)
    | h4(op1(e12,e11)) != op2(e22,e21)
    | h4(op1(e12,e12)) != op2(e22,e22)
    | h4(op1(e13,e11)) != op2(e23,e21)
    | h4(op1(e13,e12)) != op2(e23,e22)
    | h4(op1(e11,e11)) != h1(e11)
    | h4(op1(e10,e13)) != e23
    | h4(op1(e11,e10)) != e20
    | h4(op1(e12,e10)) != e22
    | h4(op1(e12,e13)) != e21 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[8814,8627,theory(equality)]),278,theory(equality)]) ).

cnf(8816,plain,
    ( $false
    | $false
    | $false
    | h4(op1(e12,e11)) != op2(e22,e21)
    | h4(op1(e12,e12)) != op2(e22,e22)
    | h4(op1(e13,e11)) != op2(e23,e21)
    | h4(op1(e13,e12)) != op2(e23,e22)
    | h4(op1(e11,e11)) != h1(e11)
    | h4(op1(e10,e13)) != e23
    | h4(op1(e11,e10)) != e20
    | h4(op1(e12,e10)) != e22
    | h4(op1(e12,e13)) != e21 ),
    inference(rw,[status(thm)],[8815,8581,theory(equality)]) ).

cnf(8817,plain,
    ( $false
    | $false
    | $false
    | e23 != op2(e22,e21)
    | h4(op1(e12,e12)) != op2(e22,e22)
    | h4(op1(e13,e11)) != op2(e23,e21)
    | h4(op1(e13,e12)) != op2(e23,e22)
    | h4(op1(e11,e11)) != h1(e11)
    | h4(op1(e10,e13)) != e23
    | h4(op1(e11,e10)) != e20
    | h4(op1(e12,e10)) != e22
    | h4(op1(e12,e13)) != e21 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[8816,8778,theory(equality)]),278,theory(equality)]) ).

cnf(8818,plain,
    ( $false
    | $false
    | $false
    | $false
    | h4(op1(e12,e12)) != op2(e22,e22)
    | h4(op1(e13,e11)) != op2(e23,e21)
    | h4(op1(e13,e12)) != op2(e23,e22)
    | h4(op1(e11,e11)) != h1(e11)
    | h4(op1(e10,e13)) != e23
    | h4(op1(e11,e10)) != e20
    | h4(op1(e12,e10)) != e22
    | h4(op1(e12,e13)) != e21 ),
    inference(rw,[status(thm)],[8817,8564,theory(equality)]) ).

cnf(8819,plain,
    ( $false
    | $false
    | $false
    | $false
    | e20 != op2(e22,e22)
    | h4(op1(e13,e11)) != op2(e23,e21)
    | h4(op1(e13,e12)) != op2(e23,e22)
    | h4(op1(e11,e11)) != h1(e11)
    | h4(op1(e10,e13)) != e23
    | h4(op1(e11,e10)) != e20
    | h4(op1(e12,e10)) != e22
    | h4(op1(e12,e13)) != e21 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[8818,8801,theory(equality)]),1001,theory(equality)]) ).

cnf(8820,plain,
    ( $false
    | $false
    | $false
    | $false
    | $false
    | h4(op1(e13,e11)) != op2(e23,e21)
    | h4(op1(e13,e12)) != op2(e23,e22)
    | h4(op1(e11,e11)) != h1(e11)
    | h4(op1(e10,e13)) != e23
    | h4(op1(e11,e10)) != e20
    | h4(op1(e12,e10)) != e22
    | h4(op1(e12,e13)) != e21 ),
    inference(rw,[status(thm)],[8819,8576,theory(equality)]) ).

cnf(8821,plain,
    ( $false
    | $false
    | $false
    | $false
    | $false
    | e22 != op2(e23,e21)
    | h4(op1(e13,e12)) != op2(e23,e22)
    | h4(op1(e11,e11)) != h1(e11)
    | h4(op1(e10,e13)) != e23
    | h4(op1(e11,e10)) != e20
    | h4(op1(e12,e10)) != e22
    | h4(op1(e12,e13)) != e21 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[8820,8743,theory(equality)]),1066,theory(equality)]) ).

cnf(8822,plain,
    ( $false
    | $false
    | $false
    | $false
    | $false
    | e22 != op2(e23,e21)
    | e21 != op2(e23,e22)
    | h4(op1(e11,e11)) != h1(e11)
    | h4(op1(e10,e13)) != e23
    | h4(op1(e11,e10)) != e20
    | h4(op1(e12,e10)) != e22
    | h4(op1(e12,e13)) != e21 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[8821,8733,theory(equality)]),1051,theory(equality)]) ).

cnf(8823,plain,
    ( $false
    | $false
    | $false
    | $false
    | $false
    | e22 != op2(e23,e21)
    | e21 != op2(e23,e22)
    | e21 != h1(e11)
    | h4(op1(e10,e13)) != e23
    | h4(op1(e11,e10)) != e20
    | h4(op1(e12,e10)) != e22
    | h4(op1(e12,e13)) != e21 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[8822,8665,theory(equality)]),1051,theory(equality)]) ).

cnf(8824,plain,
    ( $false
    | $false
    | $false
    | $false
    | $false
    | e22 != op2(e23,e21)
    | e21 != op2(e23,e22)
    | $false
    | h4(op1(e10,e13)) != e23
    | h4(op1(e11,e10)) != e20
    | h4(op1(e12,e10)) != e22
    | h4(op1(e12,e13)) != e21 ),
    inference(rw,[status(thm)],[8823,8582,theory(equality)]) ).

cnf(8825,plain,
    ( $false
    | $false
    | $false
    | $false
    | $false
    | e22 != op2(e23,e21)
    | e21 != op2(e23,e22)
    | $false
    | $false
    | h4(op1(e11,e10)) != e20
    | h4(op1(e12,e10)) != e22
    | h4(op1(e12,e13)) != e21 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[8824,8465,theory(equality)]),278,theory(equality)]) ).

cnf(8826,plain,
    ( $false
    | $false
    | $false
    | $false
    | $false
    | e22 != op2(e23,e21)
    | e21 != op2(e23,e22)
    | $false
    | $false
    | $false
    | h4(op1(e12,e10)) != e22
    | h4(op1(e12,e13)) != e21 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[8825,8533,theory(equality)]),1001,theory(equality)]) ).

cnf(8827,plain,
    ( $false
    | $false
    | $false
    | $false
    | $false
    | e22 != op2(e23,e21)
    | e21 != op2(e23,e22)
    | $false
    | $false
    | $false
    | $false
    | h4(op1(e12,e13)) != e21 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[8826,8512,theory(equality)]),1066,theory(equality)]) ).

cnf(8828,plain,
    ( $false
    | $false
    | $false
    | $false
    | $false
    | e22 != op2(e23,e21)
    | e21 != op2(e23,e22)
    | $false
    | $false
    | $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[8827,8402,theory(equality)]),1051,theory(equality)]) ).

cnf(8829,plain,
    ( e22 != op2(e23,e21)
    | e21 != op2(e23,e22) ),
    inference(cn,[status(thm)],[8828,theory(equality)]) ).

cnf(8872,plain,
    op2(e23,e22) = e21,
    inference(sr,[status(thm)],[2869,8599,theory(equality)]) ).

cnf(8878,plain,
    ( op2(e23,e21) != e22
    | $false ),
    inference(rw,[status(thm)],[8829,8872,theory(equality)]) ).

cnf(8879,plain,
    op2(e23,e21) != e22,
    inference(cn,[status(thm)],[8878,theory(equality)]) ).

cnf(8882,plain,
    ( e21 = e22
    | op2(e23,e21) = e22 ),
    inference(rw,[status(thm)],[2876,8872,theory(equality)]) ).

cnf(8883,plain,
    op2(e23,e21) = e22,
    inference(sr,[status(thm)],[8882,243,theory(equality)]) ).

cnf(8957,plain,
    $false,
    inference(rw,[status(thm)],[8879,8883,theory(equality)]) ).

cnf(8958,plain,
    $false,
    inference(cn,[status(thm)],[8957,theory(equality)]) ).

cnf(8959,plain,
    $false,
    8958,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/ALG/ALG121+1.p
% --creating new selector for []
% -running prover on /tmp/tmpTyxNlF/sel_ALG121+1.p_1 with time limit 29
% -prover status Theorem
% Problem ALG121+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/ALG/ALG121+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/ALG/ALG121+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above