TSTP Solution File: ALG108+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ALG108+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:03:44 EDT 2024

% Result   : Theorem 6.21s 1.68s
% Output   : CNFRefutation 6.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   59
% Syntax   : Number of formulae    :  777 ( 309 unt;   0 def)
%            Number of atoms       : 3623 (3088 equ)
%            Maximal formula atoms :  128 (   4 avg)
%            Number of connectives : 4302 (1456   ~;1885   |; 961   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   44 (  42 usr;  43 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(f1,axiom,
    ( ( e13 = op1(e13,e13)
      | e12 = op1(e13,e13)
      | e11 = op1(e13,e13)
      | e10 = op1(e13,e13) )
    & ( e13 = op1(e13,e12)
      | e12 = op1(e13,e12)
      | e11 = op1(e13,e12)
      | e10 = op1(e13,e12) )
    & ( e13 = op1(e13,e11)
      | e12 = op1(e13,e11)
      | e11 = op1(e13,e11)
      | e10 = op1(e13,e11) )
    & ( e13 = op1(e13,e10)
      | e12 = op1(e13,e10)
      | e11 = op1(e13,e10)
      | e10 = op1(e13,e10) )
    & ( e13 = op1(e12,e13)
      | e12 = op1(e12,e13)
      | e11 = op1(e12,e13)
      | e10 = op1(e12,e13) )
    & ( e13 = op1(e12,e12)
      | e12 = op1(e12,e12)
      | e11 = op1(e12,e12)
      | e10 = op1(e12,e12) )
    & ( e13 = op1(e12,e11)
      | e12 = op1(e12,e11)
      | e11 = op1(e12,e11)
      | e10 = op1(e12,e11) )
    & ( e13 = op1(e12,e10)
      | e12 = op1(e12,e10)
      | e11 = op1(e12,e10)
      | e10 = op1(e12,e10) )
    & ( e13 = op1(e11,e13)
      | e12 = op1(e11,e13)
      | e11 = op1(e11,e13)
      | e10 = op1(e11,e13) )
    & ( e13 = op1(e11,e12)
      | e12 = op1(e11,e12)
      | e11 = op1(e11,e12)
      | e10 = op1(e11,e12) )
    & ( e13 = op1(e11,e11)
      | e12 = op1(e11,e11)
      | e11 = op1(e11,e11)
      | e10 = op1(e11,e11) )
    & ( e13 = op1(e11,e10)
      | e12 = op1(e11,e10)
      | e11 = op1(e11,e10)
      | e10 = op1(e11,e10) )
    & ( e13 = op1(e10,e13)
      | e12 = op1(e10,e13)
      | e11 = op1(e10,e13)
      | e10 = op1(e10,e13) )
    & ( e13 = op1(e10,e12)
      | e12 = op1(e10,e12)
      | e11 = op1(e10,e12)
      | e10 = op1(e10,e12) )
    & ( e13 = op1(e10,e11)
      | e12 = op1(e10,e11)
      | e11 = op1(e10,e11)
      | e10 = op1(e10,e11) )
    & ( op1(e10,e10) = e13
      | op1(e10,e10) = e12
      | op1(e10,e10) = e11
      | e10 = op1(e10,e10) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

fof(f2,axiom,
    ( ( e13 = op1(e13,e13)
      | e13 = op1(e12,e13)
      | e13 = op1(e11,e13)
      | e13 = op1(e10,e13) )
    & ( e13 = op1(e13,e13)
      | e13 = op1(e13,e12)
      | e13 = op1(e13,e11)
      | e13 = op1(e13,e10) )
    & ( e12 = op1(e13,e13)
      | e12 = op1(e12,e13)
      | e12 = op1(e11,e13)
      | e12 = op1(e10,e13) )
    & ( e12 = op1(e13,e13)
      | e12 = op1(e13,e12)
      | e12 = op1(e13,e11)
      | e12 = op1(e13,e10) )
    & ( e11 = op1(e13,e13)
      | e11 = op1(e12,e13)
      | e11 = op1(e11,e13)
      | e11 = op1(e10,e13) )
    & ( e11 = op1(e13,e13)
      | e11 = op1(e13,e12)
      | e11 = op1(e13,e11)
      | e11 = op1(e13,e10) )
    & ( e10 = op1(e13,e13)
      | e10 = op1(e12,e13)
      | e10 = op1(e11,e13)
      | e10 = op1(e10,e13) )
    & ( e10 = op1(e13,e13)
      | e10 = op1(e13,e12)
      | e10 = op1(e13,e11)
      | e10 = op1(e13,e10) )
    & ( e13 = op1(e13,e12)
      | e13 = op1(e12,e12)
      | e13 = op1(e11,e12)
      | e13 = op1(e10,e12) )
    & ( e13 = op1(e12,e13)
      | e13 = op1(e12,e12)
      | e13 = op1(e12,e11)
      | e13 = op1(e12,e10) )
    & ( e12 = op1(e13,e12)
      | e12 = op1(e12,e12)
      | e12 = op1(e11,e12)
      | e12 = op1(e10,e12) )
    & ( e12 = op1(e12,e13)
      | e12 = op1(e12,e12)
      | e12 = op1(e12,e11)
      | e12 = op1(e12,e10) )
    & ( e11 = op1(e13,e12)
      | e11 = op1(e12,e12)
      | e11 = op1(e11,e12)
      | e11 = op1(e10,e12) )
    & ( e11 = op1(e12,e13)
      | e11 = op1(e12,e12)
      | e11 = op1(e12,e11)
      | e11 = op1(e12,e10) )
    & ( e10 = op1(e13,e12)
      | e10 = op1(e12,e12)
      | e10 = op1(e11,e12)
      | e10 = op1(e10,e12) )
    & ( e10 = op1(e12,e13)
      | e10 = op1(e12,e12)
      | e10 = op1(e12,e11)
      | e10 = op1(e12,e10) )
    & ( e13 = op1(e13,e11)
      | e13 = op1(e12,e11)
      | e13 = op1(e11,e11)
      | e13 = op1(e10,e11) )
    & ( e13 = op1(e11,e13)
      | e13 = op1(e11,e12)
      | e13 = op1(e11,e11)
      | e13 = op1(e11,e10) )
    & ( e12 = op1(e13,e11)
      | e12 = op1(e12,e11)
      | e12 = op1(e11,e11)
      | e12 = op1(e10,e11) )
    & ( e12 = op1(e11,e13)
      | e12 = op1(e11,e12)
      | e12 = op1(e11,e11)
      | e12 = op1(e11,e10) )
    & ( e11 = op1(e13,e11)
      | e11 = op1(e12,e11)
      | e11 = op1(e11,e11)
      | e11 = op1(e10,e11) )
    & ( e11 = op1(e11,e13)
      | e11 = op1(e11,e12)
      | e11 = op1(e11,e11)
      | e11 = op1(e11,e10) )
    & ( e10 = op1(e13,e11)
      | e10 = op1(e12,e11)
      | e10 = op1(e11,e11)
      | e10 = op1(e10,e11) )
    & ( e10 = op1(e11,e13)
      | e10 = op1(e11,e12)
      | e10 = op1(e11,e11)
      | e10 = op1(e11,e10) )
    & ( e13 = op1(e13,e10)
      | e13 = op1(e12,e10)
      | e13 = op1(e11,e10)
      | op1(e10,e10) = e13 )
    & ( e13 = op1(e10,e13)
      | e13 = op1(e10,e12)
      | e13 = op1(e10,e11)
      | op1(e10,e10) = e13 )
    & ( e12 = op1(e13,e10)
      | e12 = op1(e12,e10)
      | e12 = op1(e11,e10)
      | op1(e10,e10) = e12 )
    & ( e12 = op1(e10,e13)
      | e12 = op1(e10,e12)
      | e12 = op1(e10,e11)
      | op1(e10,e10) = e12 )
    & ( e11 = op1(e13,e10)
      | e11 = op1(e12,e10)
      | e11 = op1(e11,e10)
      | op1(e10,e10) = e11 )
    & ( e11 = op1(e10,e13)
      | e11 = op1(e10,e12)
      | e11 = op1(e10,e11)
      | op1(e10,e10) = e11 )
    & ( e10 = op1(e13,e10)
      | e10 = op1(e12,e10)
      | e10 = op1(e11,e10)
      | e10 = op1(e10,e10) )
    & ( e10 = op1(e10,e13)
      | e10 = op1(e10,e12)
      | e10 = op1(e10,e11)
      | e10 = op1(e10,e10) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

fof(f3,axiom,
    ( ( e23 = op2(e23,e23)
      | e22 = op2(e23,e23)
      | e21 = op2(e23,e23)
      | e20 = op2(e23,e23) )
    & ( e23 = op2(e23,e22)
      | e22 = op2(e23,e22)
      | e21 = op2(e23,e22)
      | e20 = op2(e23,e22) )
    & ( e23 = op2(e23,e21)
      | e22 = op2(e23,e21)
      | e21 = op2(e23,e21)
      | e20 = op2(e23,e21) )
    & ( e23 = op2(e23,e20)
      | e22 = op2(e23,e20)
      | e21 = op2(e23,e20)
      | e20 = op2(e23,e20) )
    & ( e23 = op2(e22,e23)
      | e22 = op2(e22,e23)
      | e21 = op2(e22,e23)
      | e20 = op2(e22,e23) )
    & ( e23 = op2(e22,e22)
      | e22 = op2(e22,e22)
      | e21 = op2(e22,e22)
      | e20 = op2(e22,e22) )
    & ( e23 = op2(e22,e21)
      | e22 = op2(e22,e21)
      | e21 = op2(e22,e21)
      | e20 = op2(e22,e21) )
    & ( e23 = op2(e22,e20)
      | e22 = op2(e22,e20)
      | e21 = op2(e22,e20)
      | e20 = op2(e22,e20) )
    & ( e23 = op2(e21,e23)
      | e22 = op2(e21,e23)
      | e21 = op2(e21,e23)
      | e20 = op2(e21,e23) )
    & ( e23 = op2(e21,e22)
      | e22 = op2(e21,e22)
      | e21 = op2(e21,e22)
      | e20 = op2(e21,e22) )
    & ( e23 = op2(e21,e21)
      | e22 = op2(e21,e21)
      | e21 = op2(e21,e21)
      | e20 = op2(e21,e21) )
    & ( e23 = op2(e21,e20)
      | e22 = op2(e21,e20)
      | e21 = op2(e21,e20)
      | e20 = op2(e21,e20) )
    & ( e23 = op2(e20,e23)
      | e22 = op2(e20,e23)
      | e21 = op2(e20,e23)
      | e20 = op2(e20,e23) )
    & ( e23 = op2(e20,e22)
      | e22 = op2(e20,e22)
      | e21 = op2(e20,e22)
      | e20 = op2(e20,e22) )
    & ( e23 = op2(e20,e21)
      | e22 = op2(e20,e21)
      | e21 = op2(e20,e21)
      | e20 = op2(e20,e21) )
    & ( op2(e20,e20) = e23
      | op2(e20,e20) = e22
      | op2(e20,e20) = e21
      | e20 = op2(e20,e20) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

fof(f4,axiom,
    ( ( e23 = op2(e23,e23)
      | e23 = op2(e22,e23)
      | e23 = op2(e21,e23)
      | e23 = op2(e20,e23) )
    & ( e23 = op2(e23,e23)
      | e23 = op2(e23,e22)
      | e23 = op2(e23,e21)
      | e23 = op2(e23,e20) )
    & ( e22 = op2(e23,e23)
      | e22 = op2(e22,e23)
      | e22 = op2(e21,e23)
      | e22 = op2(e20,e23) )
    & ( e22 = op2(e23,e23)
      | e22 = op2(e23,e22)
      | e22 = op2(e23,e21)
      | e22 = op2(e23,e20) )
    & ( e21 = op2(e23,e23)
      | e21 = op2(e22,e23)
      | e21 = op2(e21,e23)
      | e21 = op2(e20,e23) )
    & ( e21 = op2(e23,e23)
      | e21 = op2(e23,e22)
      | e21 = op2(e23,e21)
      | e21 = op2(e23,e20) )
    & ( e20 = op2(e23,e23)
      | e20 = op2(e22,e23)
      | e20 = op2(e21,e23)
      | e20 = op2(e20,e23) )
    & ( e20 = op2(e23,e23)
      | e20 = op2(e23,e22)
      | e20 = op2(e23,e21)
      | e20 = op2(e23,e20) )
    & ( e23 = op2(e23,e22)
      | e23 = op2(e22,e22)
      | e23 = op2(e21,e22)
      | e23 = op2(e20,e22) )
    & ( e23 = op2(e22,e23)
      | e23 = op2(e22,e22)
      | e23 = op2(e22,e21)
      | e23 = op2(e22,e20) )
    & ( e22 = op2(e23,e22)
      | e22 = op2(e22,e22)
      | e22 = op2(e21,e22)
      | e22 = op2(e20,e22) )
    & ( e22 = op2(e22,e23)
      | e22 = op2(e22,e22)
      | e22 = op2(e22,e21)
      | e22 = op2(e22,e20) )
    & ( e21 = op2(e23,e22)
      | e21 = op2(e22,e22)
      | e21 = op2(e21,e22)
      | e21 = op2(e20,e22) )
    & ( e21 = op2(e22,e23)
      | e21 = op2(e22,e22)
      | e21 = op2(e22,e21)
      | e21 = op2(e22,e20) )
    & ( e20 = op2(e23,e22)
      | e20 = op2(e22,e22)
      | e20 = op2(e21,e22)
      | e20 = op2(e20,e22) )
    & ( e20 = op2(e22,e23)
      | e20 = op2(e22,e22)
      | e20 = op2(e22,e21)
      | e20 = op2(e22,e20) )
    & ( e23 = op2(e23,e21)
      | e23 = op2(e22,e21)
      | e23 = op2(e21,e21)
      | e23 = op2(e20,e21) )
    & ( e23 = op2(e21,e23)
      | e23 = op2(e21,e22)
      | e23 = op2(e21,e21)
      | e23 = op2(e21,e20) )
    & ( e22 = op2(e23,e21)
      | e22 = op2(e22,e21)
      | e22 = op2(e21,e21)
      | e22 = op2(e20,e21) )
    & ( e22 = op2(e21,e23)
      | e22 = op2(e21,e22)
      | e22 = op2(e21,e21)
      | e22 = op2(e21,e20) )
    & ( e21 = op2(e23,e21)
      | e21 = op2(e22,e21)
      | e21 = op2(e21,e21)
      | e21 = op2(e20,e21) )
    & ( e21 = op2(e21,e23)
      | e21 = op2(e21,e22)
      | e21 = op2(e21,e21)
      | e21 = op2(e21,e20) )
    & ( e20 = op2(e23,e21)
      | e20 = op2(e22,e21)
      | e20 = op2(e21,e21)
      | e20 = op2(e20,e21) )
    & ( e20 = op2(e21,e23)
      | e20 = op2(e21,e22)
      | e20 = op2(e21,e21)
      | e20 = op2(e21,e20) )
    & ( e23 = op2(e23,e20)
      | e23 = op2(e22,e20)
      | e23 = op2(e21,e20)
      | op2(e20,e20) = e23 )
    & ( e23 = op2(e20,e23)
      | e23 = op2(e20,e22)
      | e23 = op2(e20,e21)
      | op2(e20,e20) = e23 )
    & ( e22 = op2(e23,e20)
      | e22 = op2(e22,e20)
      | e22 = op2(e21,e20)
      | op2(e20,e20) = e22 )
    & ( e22 = op2(e20,e23)
      | e22 = op2(e20,e22)
      | e22 = op2(e20,e21)
      | op2(e20,e20) = e22 )
    & ( e21 = op2(e23,e20)
      | e21 = op2(e22,e20)
      | e21 = op2(e21,e20)
      | op2(e20,e20) = e21 )
    & ( e21 = op2(e20,e23)
      | e21 = op2(e20,e22)
      | e21 = op2(e20,e21)
      | op2(e20,e20) = e21 )
    & ( e20 = op2(e23,e20)
      | e20 = op2(e22,e20)
      | e20 = op2(e21,e20)
      | e20 = op2(e20,e20) )
    & ( e20 = op2(e20,e23)
      | e20 = op2(e20,e22)
      | e20 = op2(e20,e21)
      | e20 = op2(e20,e20) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

fof(f5,axiom,
    ( op1(e13,e12) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e11)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e11,e10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

fof(f6,axiom,
    ( op2(e23,e22) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e21)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e21,e20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

fof(f7,axiom,
    ( e12 != e13
    & e11 != e13
    & e11 != e12
    & e10 != e13
    & e10 != e12
    & e10 != e11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

fof(f8,axiom,
    ( e22 != e23
    & e21 != e23
    & e21 != e22
    & e20 != e23
    & e20 != e22
    & e20 != e21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

fof(f10,axiom,
    ( ( ( e13 != op1(e13,e13)
        & e12 != op1(e13,e12)
        & e11 != op1(e13,e11)
        & e10 != op1(e13,e10)
        & e13 = op1(e13,e13)
        & e13 = op1(e13,e13) )
      | ( e13 != op1(e12,e13)
        & e12 != op1(e12,e12)
        & e11 != op1(e12,e11)
        & e10 != op1(e12,e10)
        & e13 = op1(e13,e12)
        & e12 = op1(e13,e13) )
      | ( e13 != op1(e11,e13)
        & e12 != op1(e11,e12)
        & e11 != op1(e11,e11)
        & e10 != op1(e11,e10)
        & e13 = op1(e13,e11)
        & e11 = op1(e13,e13) )
      | ( e13 != op1(e10,e13)
        & e12 != op1(e10,e12)
        & e11 != op1(e10,e11)
        & e10 != op1(e10,e10)
        & e13 = op1(e13,e10)
        & e10 = op1(e13,e13) )
      | ( e13 != op1(e13,e13)
        & e12 != op1(e13,e12)
        & e11 != op1(e13,e11)
        & e10 != op1(e13,e10)
        & e12 = op1(e12,e13)
        & e13 = op1(e12,e12) )
      | ( e13 != op1(e12,e13)
        & e12 != op1(e12,e12)
        & e11 != op1(e12,e11)
        & e10 != op1(e12,e10)
        & e12 = op1(e12,e12)
        & e12 = op1(e12,e12) )
      | ( e13 != op1(e11,e13)
        & e12 != op1(e11,e12)
        & e11 != op1(e11,e11)
        & e10 != op1(e11,e10)
        & e12 = op1(e12,e11)
        & e11 = op1(e12,e12) )
      | ( e13 != op1(e10,e13)
        & e12 != op1(e10,e12)
        & e11 != op1(e10,e11)
        & e10 != op1(e10,e10)
        & e12 = op1(e12,e10)
        & e10 = op1(e12,e12) )
      | ( e13 != op1(e13,e13)
        & e12 != op1(e13,e12)
        & e11 != op1(e13,e11)
        & e10 != op1(e13,e10)
        & e11 = op1(e11,e13)
        & e13 = op1(e11,e11) )
      | ( e13 != op1(e12,e13)
        & e12 != op1(e12,e12)
        & e11 != op1(e12,e11)
        & e10 != op1(e12,e10)
        & e11 = op1(e11,e12)
        & e12 = op1(e11,e11) )
      | ( e13 != op1(e11,e13)
        & e12 != op1(e11,e12)
        & e11 != op1(e11,e11)
        & e10 != op1(e11,e10)
        & e11 = op1(e11,e11)
        & e11 = op1(e11,e11) )
      | ( e13 != op1(e10,e13)
        & e12 != op1(e10,e12)
        & e11 != op1(e10,e11)
        & e10 != op1(e10,e10)
        & e11 = op1(e11,e10)
        & e10 = op1(e11,e11) )
      | ( e13 != op1(e13,e13)
        & e12 != op1(e13,e12)
        & e11 != op1(e13,e11)
        & e10 != op1(e13,e10)
        & e10 = op1(e10,e13)
        & op1(e10,e10) = e13 )
      | ( e13 != op1(e12,e13)
        & e12 != op1(e12,e12)
        & e11 != op1(e12,e11)
        & e10 != op1(e12,e10)
        & e10 = op1(e10,e12)
        & op1(e10,e10) = e12 )
      | ( e13 != op1(e11,e13)
        & e12 != op1(e11,e12)
        & e11 != op1(e11,e11)
        & e10 != op1(e11,e10)
        & e10 = op1(e10,e11)
        & op1(e10,e10) = e11 )
      | ( e13 != op1(e10,e13)
        & e12 != op1(e10,e12)
        & e11 != op1(e10,e11)
        & e10 != op1(e10,e10)
        & e10 = op1(e10,e10)
        & e10 = op1(e10,e10) ) )
    & ( op1(e13,e13) = op1(op1(e13,e13),e13)
      | op1(e12,e13) = op1(op1(e12,e13),e12)
      | op1(e11,e13) = op1(op1(e11,e13),e11)
      | op1(e10,e13) = op1(op1(e10,e13),e10) )
    & ( op1(e13,e12) = op1(op1(e13,e12),e13)
      | op1(e12,e12) = op1(op1(e12,e12),e12)
      | op1(e11,e12) = op1(op1(e11,e12),e11)
      | op1(e10,e12) = op1(op1(e10,e12),e10) )
    & ( op1(e13,e11) = op1(op1(e13,e11),e13)
      | op1(e12,e11) = op1(op1(e12,e11),e12)
      | op1(e11,e11) = op1(op1(e11,e11),e11)
      | op1(e10,e11) = op1(op1(e10,e11),e10) )
    & ( op1(e13,e10) = op1(op1(e13,e10),e13)
      | op1(e12,e10) = op1(op1(e12,e10),e12)
      | op1(e11,e10) = op1(op1(e11,e10),e11)
      | op1(e10,e10) = op1(op1(e10,e10),e10) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).

fof(f11,axiom,
    ( ( ( e23 != op2(e23,e23)
        & e22 != op2(e23,e22)
        & e21 != op2(e23,e21)
        & e20 != op2(e23,e20)
        & e23 = op2(e23,e23)
        & e23 = op2(e23,e23) )
      | ( e23 != op2(e22,e23)
        & e22 != op2(e22,e22)
        & e21 != op2(e22,e21)
        & e20 != op2(e22,e20)
        & e23 = op2(e23,e22)
        & e22 = op2(e23,e23) )
      | ( e23 != op2(e21,e23)
        & e22 != op2(e21,e22)
        & e21 != op2(e21,e21)
        & e20 != op2(e21,e20)
        & e23 = op2(e23,e21)
        & e21 = op2(e23,e23) )
      | ( e23 != op2(e20,e23)
        & e22 != op2(e20,e22)
        & e21 != op2(e20,e21)
        & e20 != op2(e20,e20)
        & e23 = op2(e23,e20)
        & e20 = op2(e23,e23) )
      | ( e23 != op2(e23,e23)
        & e22 != op2(e23,e22)
        & e21 != op2(e23,e21)
        & e20 != op2(e23,e20)
        & e22 = op2(e22,e23)
        & e23 = op2(e22,e22) )
      | ( e23 != op2(e22,e23)
        & e22 != op2(e22,e22)
        & e21 != op2(e22,e21)
        & e20 != op2(e22,e20)
        & e22 = op2(e22,e22)
        & e22 = op2(e22,e22) )
      | ( e23 != op2(e21,e23)
        & e22 != op2(e21,e22)
        & e21 != op2(e21,e21)
        & e20 != op2(e21,e20)
        & e22 = op2(e22,e21)
        & e21 = op2(e22,e22) )
      | ( e23 != op2(e20,e23)
        & e22 != op2(e20,e22)
        & e21 != op2(e20,e21)
        & e20 != op2(e20,e20)
        & e22 = op2(e22,e20)
        & e20 = op2(e22,e22) )
      | ( e23 != op2(e23,e23)
        & e22 != op2(e23,e22)
        & e21 != op2(e23,e21)
        & e20 != op2(e23,e20)
        & e21 = op2(e21,e23)
        & e23 = op2(e21,e21) )
      | ( e23 != op2(e22,e23)
        & e22 != op2(e22,e22)
        & e21 != op2(e22,e21)
        & e20 != op2(e22,e20)
        & e21 = op2(e21,e22)
        & e22 = op2(e21,e21) )
      | ( e23 != op2(e21,e23)
        & e22 != op2(e21,e22)
        & e21 != op2(e21,e21)
        & e20 != op2(e21,e20)
        & e21 = op2(e21,e21)
        & e21 = op2(e21,e21) )
      | ( e23 != op2(e20,e23)
        & e22 != op2(e20,e22)
        & e21 != op2(e20,e21)
        & e20 != op2(e20,e20)
        & e21 = op2(e21,e20)
        & e20 = op2(e21,e21) )
      | ( e23 != op2(e23,e23)
        & e22 != op2(e23,e22)
        & e21 != op2(e23,e21)
        & e20 != op2(e23,e20)
        & e20 = op2(e20,e23)
        & op2(e20,e20) = e23 )
      | ( e23 != op2(e22,e23)
        & e22 != op2(e22,e22)
        & e21 != op2(e22,e21)
        & e20 != op2(e22,e20)
        & e20 = op2(e20,e22)
        & op2(e20,e20) = e22 )
      | ( e23 != op2(e21,e23)
        & e22 != op2(e21,e22)
        & e21 != op2(e21,e21)
        & e20 != op2(e21,e20)
        & e20 = op2(e20,e21)
        & op2(e20,e20) = e21 )
      | ( e23 != op2(e20,e23)
        & e22 != op2(e20,e22)
        & e21 != op2(e20,e21)
        & e20 != op2(e20,e20)
        & e20 = op2(e20,e20)
        & e20 = op2(e20,e20) ) )
    & ( op2(e23,e23) = op2(op2(e23,e23),e23)
      | op2(e22,e23) = op2(op2(e22,e23),e22)
      | op2(e21,e23) = op2(op2(e21,e23),e21)
      | op2(e20,e23) = op2(op2(e20,e23),e20) )
    & ( op2(e23,e22) = op2(op2(e23,e22),e23)
      | op2(e22,e22) = op2(op2(e22,e22),e22)
      | op2(e21,e22) = op2(op2(e21,e22),e21)
      | op2(e20,e22) = op2(op2(e20,e22),e20) )
    & ( op2(e23,e21) = op2(op2(e23,e21),e23)
      | op2(e22,e21) = op2(op2(e22,e21),e22)
      | op2(e21,e21) = op2(op2(e21,e21),e21)
      | op2(e20,e21) = op2(op2(e20,e21),e20) )
    & ( op2(e23,e20) = op2(op2(e23,e20),e23)
      | op2(e22,e20) = op2(op2(e22,e20),e22)
      | op2(e21,e20) = op2(op2(e21,e20),e21)
      | op2(e20,e20) = op2(op2(e20,e20),e20) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).

fof(f12,axiom,
    ( e12 = op1(op1(e13,e13),e13)
    & e11 = op1(op1(e13,e13),op1(e13,e13))
    & e10 = op1(e13,e13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).

fof(f13,axiom,
    ( e22 = op2(op2(e23,e23),e23)
    & e21 = op2(op2(e23,e23),op2(e23,e23))
    & e20 = op2(e23,e23) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).

fof(f14,axiom,
    ( op2(op2(e20,e20),e20) = h1(e12)
    & h1(e11) = op2(op2(e20,e20),op2(e20,e20))
    & op2(e20,e20) = h1(e10)
    & e20 = h1(e13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).

fof(f15,axiom,
    ( op2(op2(e21,e21),e21) = h2(e12)
    & h2(e11) = op2(op2(e21,e21),op2(e21,e21))
    & op2(e21,e21) = h2(e10)
    & e21 = h2(e13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

fof(f16,axiom,
    ( op2(op2(e22,e22),e22) = h3(e12)
    & h3(e11) = op2(op2(e22,e22),op2(e22,e22))
    & op2(e22,e22) = h3(e10)
    & e22 = h3(e13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).

fof(f17,axiom,
    ( op2(op2(e23,e23),e23) = h4(e12)
    & op2(op2(e23,e23),op2(e23,e23)) = h4(e11)
    & op2(e23,e23) = h4(e10)
    & e23 = h4(e13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).

fof(f18,conjecture,
    ( ( ( e23 = h4(e13)
        | e23 = h4(e12)
        | e23 = h4(e11)
        | e23 = h4(e10) )
      & ( e22 = h4(e13)
        | e22 = h4(e12)
        | e22 = h4(e11)
        | e22 = h4(e10) )
      & ( e21 = h4(e13)
        | e21 = h4(e12)
        | e21 = h4(e11)
        | e21 = h4(e10) )
      & ( e20 = h4(e13)
        | e20 = h4(e12)
        | e20 = h4(e11)
        | e20 = h4(e10) )
      & 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)) )
    | ( ( e23 = h3(e13)
        | e23 = h3(e12)
        | e23 = h3(e11)
        | e23 = h3(e10) )
      & ( e22 = h3(e13)
        | e22 = h3(e12)
        | e22 = h3(e11)
        | e22 = h3(e10) )
      & ( e21 = h3(e13)
        | e21 = h3(e12)
        | e21 = h3(e11)
        | e21 = h3(e10) )
      & ( e20 = h3(e13)
        | e20 = h3(e12)
        | e20 = h3(e11)
        | e20 = h3(e10) )
      & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
      & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
      & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
      & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
      & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
      & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
      & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
      & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
      & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
      & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
      & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
      & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
      & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
      & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
      & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
      & h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
    | ( ( e23 = h2(e13)
        | e23 = h2(e12)
        | e23 = h2(e11)
        | e23 = h2(e10) )
      & ( e22 = h2(e13)
        | e22 = h2(e12)
        | e22 = h2(e11)
        | e22 = h2(e10) )
      & ( e21 = h2(e13)
        | e21 = h2(e12)
        | e21 = h2(e11)
        | e21 = h2(e10) )
      & ( e20 = h2(e13)
        | e20 = h2(e12)
        | e20 = h2(e11)
        | e20 = h2(e10) )
      & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
      & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
      & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
      & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
      & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
      & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
      & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
      & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
      & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
      & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
      & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
      & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
      & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
      & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
      & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
      & h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
    | ( ( e23 = h1(e13)
        | e23 = h1(e12)
        | e23 = h1(e11)
        | e23 = h1(e10) )
      & ( e22 = h1(e13)
        | e22 = h1(e12)
        | e22 = h1(e11)
        | e22 = h1(e10) )
      & ( e21 = h1(e13)
        | e21 = h1(e12)
        | e21 = h1(e11)
        | e21 = h1(e10) )
      & ( e20 = h1(e13)
        | e20 = h1(e12)
        | e20 = h1(e11)
        | e20 = h1(e10) )
      & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
      & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
      & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
      & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
      & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
      & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
      & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
      & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
      & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
      & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
      & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
      & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
      & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
      & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
      & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
      & h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f19,negated_conjecture,
    ~ ( ( ( e23 = h4(e13)
          | e23 = h4(e12)
          | e23 = h4(e11)
          | e23 = h4(e10) )
        & ( e22 = h4(e13)
          | e22 = h4(e12)
          | e22 = h4(e11)
          | e22 = h4(e10) )
        & ( e21 = h4(e13)
          | e21 = h4(e12)
          | e21 = h4(e11)
          | e21 = h4(e10) )
        & ( e20 = h4(e13)
          | e20 = h4(e12)
          | e20 = h4(e11)
          | e20 = h4(e10) )
        & 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)) )
      | ( ( e23 = h3(e13)
          | e23 = h3(e12)
          | e23 = h3(e11)
          | e23 = h3(e10) )
        & ( e22 = h3(e13)
          | e22 = h3(e12)
          | e22 = h3(e11)
          | e22 = h3(e10) )
        & ( e21 = h3(e13)
          | e21 = h3(e12)
          | e21 = h3(e11)
          | e21 = h3(e10) )
        & ( e20 = h3(e13)
          | e20 = h3(e12)
          | e20 = h3(e11)
          | e20 = h3(e10) )
        & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
        & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
        & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
        & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
        & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
        & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
        & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
        & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
        & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
        & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
        & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
        & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
        & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
        & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
        & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
        & h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
      | ( ( e23 = h2(e13)
          | e23 = h2(e12)
          | e23 = h2(e11)
          | e23 = h2(e10) )
        & ( e22 = h2(e13)
          | e22 = h2(e12)
          | e22 = h2(e11)
          | e22 = h2(e10) )
        & ( e21 = h2(e13)
          | e21 = h2(e12)
          | e21 = h2(e11)
          | e21 = h2(e10) )
        & ( e20 = h2(e13)
          | e20 = h2(e12)
          | e20 = h2(e11)
          | e20 = h2(e10) )
        & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
        & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
        & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
        & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
        & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
        & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
        & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
        & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
        & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
        & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
        & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
        & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
        & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
        & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
        & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
        & h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
      | ( ( e23 = h1(e13)
          | e23 = h1(e12)
          | e23 = h1(e11)
          | e23 = h1(e10) )
        & ( e22 = h1(e13)
          | e22 = h1(e12)
          | e22 = h1(e11)
          | e22 = h1(e10) )
        & ( e21 = h1(e13)
          | e21 = h1(e12)
          | e21 = h1(e11)
          | e21 = h1(e10) )
        & ( e20 = h1(e13)
          | e20 = h1(e12)
          | e20 = h1(e11)
          | e20 = h1(e10) )
        & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
        & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
        & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
        & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
        & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
        & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
        & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
        & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
        & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
        & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
        & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
        & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
        & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
        & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
        & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
        & h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
    inference(negated_conjecture,[],[f18]) ).

fof(f20,plain,
    ( ( ( e23 != h4(e13)
        & e23 != h4(e12)
        & e23 != h4(e11)
        & e23 != h4(e10) )
      | ( e22 != h4(e13)
        & e22 != h4(e12)
        & e22 != h4(e11)
        & e22 != h4(e10) )
      | ( e21 != h4(e13)
        & e21 != h4(e12)
        & e21 != h4(e11)
        & e21 != h4(e10) )
      | ( e20 != h4(e13)
        & e20 != h4(e12)
        & e20 != h4(e11)
        & e20 != h4(e10) )
      | 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)) )
    & ( ( e23 != h3(e13)
        & e23 != h3(e12)
        & e23 != h3(e11)
        & e23 != h3(e10) )
      | ( e22 != h3(e13)
        & e22 != h3(e12)
        & e22 != h3(e11)
        & e22 != h3(e10) )
      | ( e21 != h3(e13)
        & e21 != h3(e12)
        & e21 != h3(e11)
        & e21 != h3(e10) )
      | ( e20 != h3(e13)
        & e20 != h3(e12)
        & e20 != h3(e11)
        & e20 != h3(e10) )
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
    & ( ( e23 != h2(e13)
        & e23 != h2(e12)
        & e23 != h2(e11)
        & e23 != h2(e10) )
      | ( e22 != h2(e13)
        & e22 != h2(e12)
        & e22 != h2(e11)
        & e22 != h2(e10) )
      | ( e21 != h2(e13)
        & e21 != h2(e12)
        & e21 != h2(e11)
        & e21 != h2(e10) )
      | ( e20 != h2(e13)
        & e20 != h2(e12)
        & e20 != h2(e11)
        & e20 != h2(e10) )
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
    & ( ( e23 != h1(e13)
        & e23 != h1(e12)
        & e23 != h1(e11)
        & e23 != h1(e10) )
      | ( e22 != h1(e13)
        & e22 != h1(e12)
        & e22 != h1(e11)
        & e22 != h1(e10) )
      | ( e21 != h1(e13)
        & e21 != h1(e12)
        & e21 != h1(e11)
        & e21 != h1(e10) )
      | ( e20 != h1(e13)
        & e20 != h1(e12)
        & e20 != h1(e11)
        & e20 != h1(e10) )
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f21,plain,
    ( ( e13 != op1(e10,e13)
      & e12 != op1(e10,e12)
      & e11 != op1(e10,e11)
      & e10 != op1(e10,e10)
      & e10 = op1(e10,e10)
      & e10 = op1(e10,e10) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f22,plain,
    ( ( e13 != op1(e11,e13)
      & e12 != op1(e11,e12)
      & e11 != op1(e11,e11)
      & e10 != op1(e11,e10)
      & e10 = op1(e10,e11)
      & op1(e10,e10) = e11 )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f23,plain,
    ( ( e13 != op1(e12,e13)
      & e12 != op1(e12,e12)
      & e11 != op1(e12,e11)
      & e10 != op1(e12,e10)
      & e10 = op1(e10,e12)
      & op1(e10,e10) = e12 )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f24,plain,
    ( ( e13 != op1(e13,e13)
      & e12 != op1(e13,e12)
      & e11 != op1(e13,e11)
      & e10 != op1(e13,e10)
      & e10 = op1(e10,e13)
      & op1(e10,e10) = e13 )
    | ~ sP3 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f25,plain,
    ( ( e13 != op1(e10,e13)
      & e12 != op1(e10,e12)
      & e11 != op1(e10,e11)
      & e10 != op1(e10,e10)
      & e11 = op1(e11,e10)
      & e10 = op1(e11,e11) )
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f26,plain,
    ( ( e13 != op1(e11,e13)
      & e12 != op1(e11,e12)
      & e11 != op1(e11,e11)
      & e10 != op1(e11,e10)
      & e11 = op1(e11,e11)
      & e11 = op1(e11,e11) )
    | ~ sP5 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f27,plain,
    ( ( e13 != op1(e12,e13)
      & e12 != op1(e12,e12)
      & e11 != op1(e12,e11)
      & e10 != op1(e12,e10)
      & e11 = op1(e11,e12)
      & e12 = op1(e11,e11) )
    | ~ sP6 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f28,plain,
    ( ( e13 != op1(e13,e13)
      & e12 != op1(e13,e12)
      & e11 != op1(e13,e11)
      & e10 != op1(e13,e10)
      & e11 = op1(e11,e13)
      & e13 = op1(e11,e11) )
    | ~ sP7 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f29,plain,
    ( ( e13 != op1(e10,e13)
      & e12 != op1(e10,e12)
      & e11 != op1(e10,e11)
      & e10 != op1(e10,e10)
      & e12 = op1(e12,e10)
      & e10 = op1(e12,e12) )
    | ~ sP8 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f30,plain,
    ( ( e13 != op1(e11,e13)
      & e12 != op1(e11,e12)
      & e11 != op1(e11,e11)
      & e10 != op1(e11,e10)
      & e12 = op1(e12,e11)
      & e11 = op1(e12,e12) )
    | ~ sP9 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f31,plain,
    ( ( e13 != op1(e12,e13)
      & e12 != op1(e12,e12)
      & e11 != op1(e12,e11)
      & e10 != op1(e12,e10)
      & e12 = op1(e12,e12)
      & e12 = op1(e12,e12) )
    | ~ sP10 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).

fof(f32,plain,
    ( ( e13 != op1(e13,e13)
      & e12 != op1(e13,e12)
      & e11 != op1(e13,e11)
      & e10 != op1(e13,e10)
      & e12 = op1(e12,e13)
      & e13 = op1(e12,e12) )
    | ~ sP11 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f33,plain,
    ( ( e13 != op1(e10,e13)
      & e12 != op1(e10,e12)
      & e11 != op1(e10,e11)
      & e10 != op1(e10,e10)
      & e13 = op1(e13,e10)
      & e10 = op1(e13,e13) )
    | ~ sP12 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).

fof(f34,plain,
    ( ( e13 != op1(e11,e13)
      & e12 != op1(e11,e12)
      & e11 != op1(e11,e11)
      & e10 != op1(e11,e10)
      & e13 = op1(e13,e11)
      & e11 = op1(e13,e13) )
    | ~ sP13 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).

fof(f35,plain,
    ( ( e13 != op1(e12,e13)
      & e12 != op1(e12,e12)
      & e11 != op1(e12,e11)
      & e10 != op1(e12,e10)
      & e13 = op1(e13,e12)
      & e12 = op1(e13,e13) )
    | ~ sP14 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).

fof(f36,plain,
    ( ( ( e13 != op1(e13,e13)
        & e12 != op1(e13,e12)
        & e11 != op1(e13,e11)
        & e10 != op1(e13,e10)
        & e13 = op1(e13,e13)
        & e13 = op1(e13,e13) )
      | sP14
      | sP13
      | sP12
      | sP11
      | sP10
      | sP9
      | sP8
      | sP7
      | sP6
      | sP5
      | sP4
      | sP3
      | sP2
      | sP1
      | sP0 )
    & ( op1(e13,e13) = op1(op1(e13,e13),e13)
      | op1(e12,e13) = op1(op1(e12,e13),e12)
      | op1(e11,e13) = op1(op1(e11,e13),e11)
      | op1(e10,e13) = op1(op1(e10,e13),e10) )
    & ( op1(e13,e12) = op1(op1(e13,e12),e13)
      | op1(e12,e12) = op1(op1(e12,e12),e12)
      | op1(e11,e12) = op1(op1(e11,e12),e11)
      | op1(e10,e12) = op1(op1(e10,e12),e10) )
    & ( op1(e13,e11) = op1(op1(e13,e11),e13)
      | op1(e12,e11) = op1(op1(e12,e11),e12)
      | op1(e11,e11) = op1(op1(e11,e11),e11)
      | op1(e10,e11) = op1(op1(e10,e11),e10) )
    & ( op1(e13,e10) = op1(op1(e13,e10),e13)
      | op1(e12,e10) = op1(op1(e12,e10),e12)
      | op1(e11,e10) = op1(op1(e11,e10),e11)
      | op1(e10,e10) = op1(op1(e10,e10),e10) ) ),
    inference(definition_folding,[],[f10,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).

fof(f37,plain,
    ( ( e23 != op2(e20,e23)
      & e22 != op2(e20,e22)
      & e21 != op2(e20,e21)
      & e20 != op2(e20,e20)
      & e20 = op2(e20,e20)
      & e20 = op2(e20,e20) )
    | ~ sP15 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).

fof(f38,plain,
    ( ( e23 != op2(e21,e23)
      & e22 != op2(e21,e22)
      & e21 != op2(e21,e21)
      & e20 != op2(e21,e20)
      & e20 = op2(e20,e21)
      & op2(e20,e20) = e21 )
    | ~ sP16 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).

fof(f39,plain,
    ( ( e23 != op2(e22,e23)
      & e22 != op2(e22,e22)
      & e21 != op2(e22,e21)
      & e20 != op2(e22,e20)
      & e20 = op2(e20,e22)
      & op2(e20,e20) = e22 )
    | ~ sP17 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).

fof(f40,plain,
    ( ( e23 != op2(e23,e23)
      & e22 != op2(e23,e22)
      & e21 != op2(e23,e21)
      & e20 != op2(e23,e20)
      & e20 = op2(e20,e23)
      & op2(e20,e20) = e23 )
    | ~ sP18 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).

fof(f41,plain,
    ( ( e23 != op2(e20,e23)
      & e22 != op2(e20,e22)
      & e21 != op2(e20,e21)
      & e20 != op2(e20,e20)
      & e21 = op2(e21,e20)
      & e20 = op2(e21,e21) )
    | ~ sP19 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).

fof(f42,plain,
    ( ( e23 != op2(e21,e23)
      & e22 != op2(e21,e22)
      & e21 != op2(e21,e21)
      & e20 != op2(e21,e20)
      & e21 = op2(e21,e21)
      & e21 = op2(e21,e21) )
    | ~ sP20 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).

fof(f43,plain,
    ( ( e23 != op2(e22,e23)
      & e22 != op2(e22,e22)
      & e21 != op2(e22,e21)
      & e20 != op2(e22,e20)
      & e21 = op2(e21,e22)
      & e22 = op2(e21,e21) )
    | ~ sP21 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).

fof(f44,plain,
    ( ( e23 != op2(e23,e23)
      & e22 != op2(e23,e22)
      & e21 != op2(e23,e21)
      & e20 != op2(e23,e20)
      & e21 = op2(e21,e23)
      & e23 = op2(e21,e21) )
    | ~ sP22 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).

fof(f45,plain,
    ( ( e23 != op2(e20,e23)
      & e22 != op2(e20,e22)
      & e21 != op2(e20,e21)
      & e20 != op2(e20,e20)
      & e22 = op2(e22,e20)
      & e20 = op2(e22,e22) )
    | ~ sP23 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).

fof(f46,plain,
    ( ( e23 != op2(e21,e23)
      & e22 != op2(e21,e22)
      & e21 != op2(e21,e21)
      & e20 != op2(e21,e20)
      & e22 = op2(e22,e21)
      & e21 = op2(e22,e22) )
    | ~ sP24 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).

fof(f47,plain,
    ( ( e23 != op2(e22,e23)
      & e22 != op2(e22,e22)
      & e21 != op2(e22,e21)
      & e20 != op2(e22,e20)
      & e22 = op2(e22,e22)
      & e22 = op2(e22,e22) )
    | ~ sP25 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).

fof(f48,plain,
    ( ( e23 != op2(e23,e23)
      & e22 != op2(e23,e22)
      & e21 != op2(e23,e21)
      & e20 != op2(e23,e20)
      & e22 = op2(e22,e23)
      & e23 = op2(e22,e22) )
    | ~ sP26 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).

fof(f49,plain,
    ( ( e23 != op2(e20,e23)
      & e22 != op2(e20,e22)
      & e21 != op2(e20,e21)
      & e20 != op2(e20,e20)
      & e23 = op2(e23,e20)
      & e20 = op2(e23,e23) )
    | ~ sP27 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).

fof(f50,plain,
    ( ( e23 != op2(e21,e23)
      & e22 != op2(e21,e22)
      & e21 != op2(e21,e21)
      & e20 != op2(e21,e20)
      & e23 = op2(e23,e21)
      & e21 = op2(e23,e23) )
    | ~ sP28 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).

fof(f51,plain,
    ( ( e23 != op2(e22,e23)
      & e22 != op2(e22,e22)
      & e21 != op2(e22,e21)
      & e20 != op2(e22,e20)
      & e23 = op2(e23,e22)
      & e22 = op2(e23,e23) )
    | ~ sP29 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).

fof(f52,plain,
    ( ( ( e23 != op2(e23,e23)
        & e22 != op2(e23,e22)
        & e21 != op2(e23,e21)
        & e20 != op2(e23,e20)
        & e23 = op2(e23,e23)
        & e23 = op2(e23,e23) )
      | sP29
      | sP28
      | sP27
      | sP26
      | sP25
      | sP24
      | sP23
      | sP22
      | sP21
      | sP20
      | sP19
      | sP18
      | sP17
      | sP16
      | sP15 )
    & ( op2(e23,e23) = op2(op2(e23,e23),e23)
      | op2(e22,e23) = op2(op2(e22,e23),e22)
      | op2(e21,e23) = op2(op2(e21,e23),e21)
      | op2(e20,e23) = op2(op2(e20,e23),e20) )
    & ( op2(e23,e22) = op2(op2(e23,e22),e23)
      | op2(e22,e22) = op2(op2(e22,e22),e22)
      | op2(e21,e22) = op2(op2(e21,e22),e21)
      | op2(e20,e22) = op2(op2(e20,e22),e20) )
    & ( op2(e23,e21) = op2(op2(e23,e21),e23)
      | op2(e22,e21) = op2(op2(e22,e21),e22)
      | op2(e21,e21) = op2(op2(e21,e21),e21)
      | op2(e20,e21) = op2(op2(e20,e21),e20) )
    & ( op2(e23,e20) = op2(op2(e23,e20),e23)
      | op2(e22,e20) = op2(op2(e22,e20),e22)
      | op2(e21,e20) = op2(op2(e21,e20),e21)
      | op2(e20,e20) = op2(op2(e20,e20),e20) ) ),
    inference(definition_folding,[],[f11,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37]) ).

fof(f53,plain,
    ( ( e20 != h1(e13)
      & e20 != h1(e12)
      & e20 != h1(e11)
      & e20 != h1(e10) )
    | ~ sP30 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).

fof(f54,plain,
    ( ( e21 != h1(e13)
      & e21 != h1(e12)
      & e21 != h1(e11)
      & e21 != h1(e10) )
    | ~ sP31 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).

fof(f55,plain,
    ( ( e22 != h1(e13)
      & e22 != h1(e12)
      & e22 != h1(e11)
      & e22 != h1(e10) )
    | ~ sP32 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).

fof(f56,plain,
    ( ( e20 != h2(e13)
      & e20 != h2(e12)
      & e20 != h2(e11)
      & e20 != h2(e10) )
    | ~ sP33 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).

fof(f57,plain,
    ( ( e21 != h2(e13)
      & e21 != h2(e12)
      & e21 != h2(e11)
      & e21 != h2(e10) )
    | ~ sP34 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).

fof(f58,plain,
    ( ( e22 != h2(e13)
      & e22 != h2(e12)
      & e22 != h2(e11)
      & e22 != h2(e10) )
    | ~ sP35 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).

fof(f59,plain,
    ( ( e20 != h3(e13)
      & e20 != h3(e12)
      & e20 != h3(e11)
      & e20 != h3(e10) )
    | ~ sP36 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).

fof(f60,plain,
    ( ( e21 != h3(e13)
      & e21 != h3(e12)
      & e21 != h3(e11)
      & e21 != h3(e10) )
    | ~ sP37 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).

fof(f61,plain,
    ( ( e22 != h3(e13)
      & e22 != h3(e12)
      & e22 != h3(e11)
      & e22 != h3(e10) )
    | ~ sP38 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).

fof(f62,plain,
    ( ( e20 != h4(e13)
      & e20 != h4(e12)
      & e20 != h4(e11)
      & e20 != h4(e10) )
    | ~ sP39 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).

fof(f63,plain,
    ( ( e21 != h4(e13)
      & e21 != h4(e12)
      & e21 != h4(e11)
      & e21 != h4(e10) )
    | ~ sP40 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).

fof(f64,plain,
    ( ( e22 != h4(e13)
      & e22 != h4(e12)
      & e22 != h4(e11)
      & e22 != h4(e10) )
    | ~ sP41 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).

fof(f65,plain,
    ( ( ( e23 != h4(e13)
        & e23 != h4(e12)
        & e23 != h4(e11)
        & e23 != h4(e10) )
      | sP41
      | sP40
      | sP39
      | 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)) )
    & ( ( e23 != h3(e13)
        & e23 != h3(e12)
        & e23 != h3(e11)
        & e23 != h3(e10) )
      | sP38
      | sP37
      | sP36
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
    & ( ( e23 != h2(e13)
        & e23 != h2(e12)
        & e23 != h2(e11)
        & e23 != h2(e10) )
      | sP35
      | sP34
      | sP33
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
    & ( ( e23 != h1(e13)
        & e23 != h1(e12)
        & e23 != h1(e11)
        & e23 != h1(e10) )
      | sP32
      | sP31
      | sP30
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
    inference(definition_folding,[],[f20,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53]) ).

fof(f66,plain,
    ( ( e13 != op1(e12,e13)
      & e12 != op1(e12,e12)
      & e11 != op1(e12,e11)
      & e10 != op1(e12,e10)
      & e13 = op1(e13,e12)
      & e12 = op1(e13,e13) )
    | ~ sP14 ),
    inference(nnf_transformation,[],[f35]) ).

fof(f67,plain,
    ( ( e13 != op1(e11,e13)
      & e12 != op1(e11,e12)
      & e11 != op1(e11,e11)
      & e10 != op1(e11,e10)
      & e13 = op1(e13,e11)
      & e11 = op1(e13,e13) )
    | ~ sP13 ),
    inference(nnf_transformation,[],[f34]) ).

fof(f68,plain,
    ( ( e13 != op1(e10,e13)
      & e12 != op1(e10,e12)
      & e11 != op1(e10,e11)
      & e10 != op1(e10,e10)
      & e13 = op1(e13,e10)
      & e10 = op1(e13,e13) )
    | ~ sP12 ),
    inference(nnf_transformation,[],[f33]) ).

fof(f69,plain,
    ( ( e13 != op1(e13,e13)
      & e12 != op1(e13,e12)
      & e11 != op1(e13,e11)
      & e10 != op1(e13,e10)
      & e12 = op1(e12,e13)
      & e13 = op1(e12,e12) )
    | ~ sP11 ),
    inference(nnf_transformation,[],[f32]) ).

fof(f70,plain,
    ( ( e13 != op1(e12,e13)
      & e12 != op1(e12,e12)
      & e11 != op1(e12,e11)
      & e10 != op1(e12,e10)
      & e12 = op1(e12,e12)
      & e12 = op1(e12,e12) )
    | ~ sP10 ),
    inference(nnf_transformation,[],[f31]) ).

fof(f71,plain,
    ( ( e13 != op1(e11,e13)
      & e12 != op1(e11,e12)
      & e11 != op1(e11,e11)
      & e10 != op1(e11,e10)
      & e12 = op1(e12,e11)
      & e11 = op1(e12,e12) )
    | ~ sP9 ),
    inference(nnf_transformation,[],[f30]) ).

fof(f72,plain,
    ( ( e13 != op1(e10,e13)
      & e12 != op1(e10,e12)
      & e11 != op1(e10,e11)
      & e10 != op1(e10,e10)
      & e12 = op1(e12,e10)
      & e10 = op1(e12,e12) )
    | ~ sP8 ),
    inference(nnf_transformation,[],[f29]) ).

fof(f73,plain,
    ( ( e13 != op1(e13,e13)
      & e12 != op1(e13,e12)
      & e11 != op1(e13,e11)
      & e10 != op1(e13,e10)
      & e11 = op1(e11,e13)
      & e13 = op1(e11,e11) )
    | ~ sP7 ),
    inference(nnf_transformation,[],[f28]) ).

fof(f74,plain,
    ( ( e13 != op1(e12,e13)
      & e12 != op1(e12,e12)
      & e11 != op1(e12,e11)
      & e10 != op1(e12,e10)
      & e11 = op1(e11,e12)
      & e12 = op1(e11,e11) )
    | ~ sP6 ),
    inference(nnf_transformation,[],[f27]) ).

fof(f75,plain,
    ( ( e13 != op1(e11,e13)
      & e12 != op1(e11,e12)
      & e11 != op1(e11,e11)
      & e10 != op1(e11,e10)
      & e11 = op1(e11,e11)
      & e11 = op1(e11,e11) )
    | ~ sP5 ),
    inference(nnf_transformation,[],[f26]) ).

fof(f76,plain,
    ( ( e13 != op1(e10,e13)
      & e12 != op1(e10,e12)
      & e11 != op1(e10,e11)
      & e10 != op1(e10,e10)
      & e11 = op1(e11,e10)
      & e10 = op1(e11,e11) )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f25]) ).

fof(f77,plain,
    ( ( e13 != op1(e13,e13)
      & e12 != op1(e13,e12)
      & e11 != op1(e13,e11)
      & e10 != op1(e13,e10)
      & e10 = op1(e10,e13)
      & op1(e10,e10) = e13 )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f24]) ).

fof(f78,plain,
    ( ( e13 != op1(e12,e13)
      & e12 != op1(e12,e12)
      & e11 != op1(e12,e11)
      & e10 != op1(e12,e10)
      & e10 = op1(e10,e12)
      & op1(e10,e10) = e12 )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f23]) ).

fof(f79,plain,
    ( ( e13 != op1(e11,e13)
      & e12 != op1(e11,e12)
      & e11 != op1(e11,e11)
      & e10 != op1(e11,e10)
      & e10 = op1(e10,e11)
      & op1(e10,e10) = e11 )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f22]) ).

fof(f80,plain,
    ( ( e13 != op1(e10,e13)
      & e12 != op1(e10,e12)
      & e11 != op1(e10,e11)
      & e10 != op1(e10,e10)
      & e10 = op1(e10,e10)
      & e10 = op1(e10,e10) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f21]) ).

fof(f81,plain,
    ( ( e23 != op2(e22,e23)
      & e22 != op2(e22,e22)
      & e21 != op2(e22,e21)
      & e20 != op2(e22,e20)
      & e23 = op2(e23,e22)
      & e22 = op2(e23,e23) )
    | ~ sP29 ),
    inference(nnf_transformation,[],[f51]) ).

fof(f82,plain,
    ( ( e23 != op2(e21,e23)
      & e22 != op2(e21,e22)
      & e21 != op2(e21,e21)
      & e20 != op2(e21,e20)
      & e23 = op2(e23,e21)
      & e21 = op2(e23,e23) )
    | ~ sP28 ),
    inference(nnf_transformation,[],[f50]) ).

fof(f83,plain,
    ( ( e23 != op2(e20,e23)
      & e22 != op2(e20,e22)
      & e21 != op2(e20,e21)
      & e20 != op2(e20,e20)
      & e23 = op2(e23,e20)
      & e20 = op2(e23,e23) )
    | ~ sP27 ),
    inference(nnf_transformation,[],[f49]) ).

fof(f84,plain,
    ( ( e23 != op2(e23,e23)
      & e22 != op2(e23,e22)
      & e21 != op2(e23,e21)
      & e20 != op2(e23,e20)
      & e22 = op2(e22,e23)
      & e23 = op2(e22,e22) )
    | ~ sP26 ),
    inference(nnf_transformation,[],[f48]) ).

fof(f85,plain,
    ( ( e23 != op2(e22,e23)
      & e22 != op2(e22,e22)
      & e21 != op2(e22,e21)
      & e20 != op2(e22,e20)
      & e22 = op2(e22,e22)
      & e22 = op2(e22,e22) )
    | ~ sP25 ),
    inference(nnf_transformation,[],[f47]) ).

fof(f86,plain,
    ( ( e23 != op2(e21,e23)
      & e22 != op2(e21,e22)
      & e21 != op2(e21,e21)
      & e20 != op2(e21,e20)
      & e22 = op2(e22,e21)
      & e21 = op2(e22,e22) )
    | ~ sP24 ),
    inference(nnf_transformation,[],[f46]) ).

fof(f87,plain,
    ( ( e23 != op2(e20,e23)
      & e22 != op2(e20,e22)
      & e21 != op2(e20,e21)
      & e20 != op2(e20,e20)
      & e22 = op2(e22,e20)
      & e20 = op2(e22,e22) )
    | ~ sP23 ),
    inference(nnf_transformation,[],[f45]) ).

fof(f88,plain,
    ( ( e23 != op2(e23,e23)
      & e22 != op2(e23,e22)
      & e21 != op2(e23,e21)
      & e20 != op2(e23,e20)
      & e21 = op2(e21,e23)
      & e23 = op2(e21,e21) )
    | ~ sP22 ),
    inference(nnf_transformation,[],[f44]) ).

fof(f89,plain,
    ( ( e23 != op2(e22,e23)
      & e22 != op2(e22,e22)
      & e21 != op2(e22,e21)
      & e20 != op2(e22,e20)
      & e21 = op2(e21,e22)
      & e22 = op2(e21,e21) )
    | ~ sP21 ),
    inference(nnf_transformation,[],[f43]) ).

fof(f90,plain,
    ( ( e23 != op2(e21,e23)
      & e22 != op2(e21,e22)
      & e21 != op2(e21,e21)
      & e20 != op2(e21,e20)
      & e21 = op2(e21,e21)
      & e21 = op2(e21,e21) )
    | ~ sP20 ),
    inference(nnf_transformation,[],[f42]) ).

fof(f91,plain,
    ( ( e23 != op2(e20,e23)
      & e22 != op2(e20,e22)
      & e21 != op2(e20,e21)
      & e20 != op2(e20,e20)
      & e21 = op2(e21,e20)
      & e20 = op2(e21,e21) )
    | ~ sP19 ),
    inference(nnf_transformation,[],[f41]) ).

fof(f92,plain,
    ( ( e23 != op2(e23,e23)
      & e22 != op2(e23,e22)
      & e21 != op2(e23,e21)
      & e20 != op2(e23,e20)
      & e20 = op2(e20,e23)
      & op2(e20,e20) = e23 )
    | ~ sP18 ),
    inference(nnf_transformation,[],[f40]) ).

fof(f93,plain,
    ( ( e23 != op2(e22,e23)
      & e22 != op2(e22,e22)
      & e21 != op2(e22,e21)
      & e20 != op2(e22,e20)
      & e20 = op2(e20,e22)
      & op2(e20,e20) = e22 )
    | ~ sP17 ),
    inference(nnf_transformation,[],[f39]) ).

fof(f94,plain,
    ( ( e23 != op2(e21,e23)
      & e22 != op2(e21,e22)
      & e21 != op2(e21,e21)
      & e20 != op2(e21,e20)
      & e20 = op2(e20,e21)
      & op2(e20,e20) = e21 )
    | ~ sP16 ),
    inference(nnf_transformation,[],[f38]) ).

fof(f95,plain,
    ( ( e23 != op2(e20,e23)
      & e22 != op2(e20,e22)
      & e21 != op2(e20,e21)
      & e20 != op2(e20,e20)
      & e20 = op2(e20,e20)
      & e20 = op2(e20,e20) )
    | ~ sP15 ),
    inference(nnf_transformation,[],[f37]) ).

fof(f96,plain,
    ( ( e22 != h4(e13)
      & e22 != h4(e12)
      & e22 != h4(e11)
      & e22 != h4(e10) )
    | ~ sP41 ),
    inference(nnf_transformation,[],[f64]) ).

fof(f97,plain,
    ( ( e21 != h4(e13)
      & e21 != h4(e12)
      & e21 != h4(e11)
      & e21 != h4(e10) )
    | ~ sP40 ),
    inference(nnf_transformation,[],[f63]) ).

fof(f98,plain,
    ( ( e20 != h4(e13)
      & e20 != h4(e12)
      & e20 != h4(e11)
      & e20 != h4(e10) )
    | ~ sP39 ),
    inference(nnf_transformation,[],[f62]) ).

fof(f109,plain,
    ( e13 = op1(e10,e11)
    | e12 = op1(e10,e11)
    | e11 = op1(e10,e11)
    | e10 = op1(e10,e11) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f110,plain,
    ( e13 = op1(e10,e12)
    | e12 = op1(e10,e12)
    | e11 = op1(e10,e12)
    | e10 = op1(e10,e12) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f113,plain,
    ( e13 = op1(e11,e11)
    | e12 = op1(e11,e11)
    | e11 = op1(e11,e11)
    | e10 = op1(e11,e11) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f115,plain,
    ( e13 = op1(e11,e13)
    | e12 = op1(e11,e13)
    | e11 = op1(e11,e13)
    | e10 = op1(e11,e13) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f117,plain,
    ( e13 = op1(e12,e11)
    | e12 = op1(e12,e11)
    | e11 = op1(e12,e11)
    | e10 = op1(e12,e11) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f119,plain,
    ( e13 = op1(e12,e13)
    | e12 = op1(e12,e13)
    | e11 = op1(e12,e13)
    | e10 = op1(e12,e13) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f120,plain,
    ( e13 = op1(e13,e10)
    | e12 = op1(e13,e10)
    | e11 = op1(e13,e10)
    | e10 = op1(e13,e10) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f123,plain,
    ( e13 = op1(e13,e13)
    | e12 = op1(e13,e13)
    | e11 = op1(e13,e13)
    | e10 = op1(e13,e13) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f124,plain,
    ( e10 = op1(e10,e13)
    | e10 = op1(e10,e12)
    | e10 = op1(e10,e11)
    | e10 = op1(e10,e10) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f125,plain,
    ( e10 = op1(e13,e10)
    | e10 = op1(e12,e10)
    | e10 = op1(e11,e10)
    | e10 = op1(e10,e10) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f129,plain,
    ( e12 = op1(e13,e10)
    | e12 = op1(e12,e10)
    | e12 = op1(e11,e10)
    | op1(e10,e10) = e12 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f130,plain,
    ( e13 = op1(e10,e13)
    | e13 = op1(e10,e12)
    | e13 = op1(e10,e11)
    | op1(e10,e10) = e13 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f135,plain,
    ( e11 = op1(e13,e11)
    | e11 = op1(e12,e11)
    | e11 = op1(e11,e11)
    | e11 = op1(e10,e11) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f136,plain,
    ( e12 = op1(e11,e13)
    | e12 = op1(e11,e12)
    | e12 = op1(e11,e11)
    | e12 = op1(e11,e10) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f137,plain,
    ( e12 = op1(e13,e11)
    | e12 = op1(e12,e11)
    | e12 = op1(e11,e11)
    | e12 = op1(e10,e11) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f139,plain,
    ( e13 = op1(e13,e11)
    | e13 = op1(e12,e11)
    | e13 = op1(e11,e11)
    | e13 = op1(e10,e11) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f140,plain,
    ( e10 = op1(e12,e13)
    | e10 = op1(e12,e12)
    | e10 = op1(e12,e11)
    | e10 = op1(e12,e10) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f141,plain,
    ( e10 = op1(e13,e12)
    | e10 = op1(e12,e12)
    | e10 = op1(e11,e12)
    | e10 = op1(e10,e12) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f144,plain,
    ( e12 = op1(e12,e13)
    | e12 = op1(e12,e12)
    | e12 = op1(e12,e11)
    | e12 = op1(e12,e10) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f145,plain,
    ( e12 = op1(e13,e12)
    | e12 = op1(e12,e12)
    | e12 = op1(e11,e12)
    | e12 = op1(e10,e12) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f147,plain,
    ( e13 = op1(e13,e12)
    | e13 = op1(e12,e12)
    | e13 = op1(e11,e12)
    | e13 = op1(e10,e12) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f150,plain,
    ( e11 = op1(e13,e13)
    | e11 = op1(e13,e12)
    | e11 = op1(e13,e11)
    | e11 = op1(e13,e10) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f154,plain,
    ( e13 = op1(e13,e13)
    | e13 = op1(e13,e12)
    | e13 = op1(e13,e11)
    | e13 = op1(e13,e10) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f155,plain,
    ( e13 = op1(e13,e13)
    | e13 = op1(e12,e13)
    | e13 = op1(e11,e13)
    | e13 = op1(e10,e13) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f157,plain,
    ( e23 = op2(e20,e21)
    | e22 = op2(e20,e21)
    | e21 = op2(e20,e21)
    | e20 = op2(e20,e21) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f158,plain,
    ( e23 = op2(e20,e22)
    | e22 = op2(e20,e22)
    | e21 = op2(e20,e22)
    | e20 = op2(e20,e22) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f160,plain,
    ( e23 = op2(e21,e20)
    | e22 = op2(e21,e20)
    | e21 = op2(e21,e20)
    | e20 = op2(e21,e20) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f162,plain,
    ( e23 = op2(e21,e22)
    | e22 = op2(e21,e22)
    | e21 = op2(e21,e22)
    | e20 = op2(e21,e22) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f163,plain,
    ( e23 = op2(e21,e23)
    | e22 = op2(e21,e23)
    | e21 = op2(e21,e23)
    | e20 = op2(e21,e23) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f164,plain,
    ( e23 = op2(e22,e20)
    | e22 = op2(e22,e20)
    | e21 = op2(e22,e20)
    | e20 = op2(e22,e20) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f166,plain,
    ( e23 = op2(e22,e22)
    | e22 = op2(e22,e22)
    | e21 = op2(e22,e22)
    | e20 = op2(e22,e22) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f167,plain,
    ( e23 = op2(e22,e23)
    | e22 = op2(e22,e23)
    | e21 = op2(e22,e23)
    | e20 = op2(e22,e23) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f169,plain,
    ( e23 = op2(e23,e21)
    | e22 = op2(e23,e21)
    | e21 = op2(e23,e21)
    | e20 = op2(e23,e21) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f170,plain,
    ( e23 = op2(e23,e22)
    | e22 = op2(e23,e22)
    | e21 = op2(e23,e22)
    | e20 = op2(e23,e22) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f171,plain,
    ( e23 = op2(e23,e23)
    | e22 = op2(e23,e23)
    | e21 = op2(e23,e23)
    | e20 = op2(e23,e23) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f172,plain,
    ( e20 = op2(e20,e23)
    | e20 = op2(e20,e22)
    | e20 = op2(e20,e21)
    | e20 = op2(e20,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f173,plain,
    ( e20 = op2(e23,e20)
    | e20 = op2(e22,e20)
    | e20 = op2(e21,e20)
    | e20 = op2(e20,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f177,plain,
    ( e22 = op2(e23,e20)
    | e22 = op2(e22,e20)
    | e22 = op2(e21,e20)
    | op2(e20,e20) = e22 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f178,plain,
    ( e23 = op2(e20,e23)
    | e23 = op2(e20,e22)
    | e23 = op2(e20,e21)
    | op2(e20,e20) = e23 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f179,plain,
    ( e23 = op2(e23,e20)
    | e23 = op2(e22,e20)
    | e23 = op2(e21,e20)
    | op2(e20,e20) = e23 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f180,plain,
    ( e20 = op2(e21,e23)
    | e20 = op2(e21,e22)
    | e20 = op2(e21,e21)
    | e20 = op2(e21,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f182,plain,
    ( e21 = op2(e21,e23)
    | e21 = op2(e21,e22)
    | e21 = op2(e21,e21)
    | e21 = op2(e21,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f184,plain,
    ( e22 = op2(e21,e23)
    | e22 = op2(e21,e22)
    | e22 = op2(e21,e21)
    | e22 = op2(e21,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f185,plain,
    ( e22 = op2(e23,e21)
    | e22 = op2(e22,e21)
    | e22 = op2(e21,e21)
    | e22 = op2(e20,e21) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f186,plain,
    ( e23 = op2(e21,e23)
    | e23 = op2(e21,e22)
    | e23 = op2(e21,e21)
    | e23 = op2(e21,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f187,plain,
    ( e23 = op2(e23,e21)
    | e23 = op2(e22,e21)
    | e23 = op2(e21,e21)
    | e23 = op2(e20,e21) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f188,plain,
    ( e20 = op2(e22,e23)
    | e20 = op2(e22,e22)
    | e20 = op2(e22,e21)
    | e20 = op2(e22,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f189,plain,
    ( e20 = op2(e23,e22)
    | e20 = op2(e22,e22)
    | e20 = op2(e21,e22)
    | e20 = op2(e20,e22) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f190,plain,
    ( e21 = op2(e22,e23)
    | e21 = op2(e22,e22)
    | e21 = op2(e22,e21)
    | e21 = op2(e22,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f191,plain,
    ( e21 = op2(e23,e22)
    | e21 = op2(e22,e22)
    | e21 = op2(e21,e22)
    | e21 = op2(e20,e22) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f192,plain,
    ( e22 = op2(e22,e23)
    | e22 = op2(e22,e22)
    | e22 = op2(e22,e21)
    | e22 = op2(e22,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f193,plain,
    ( e22 = op2(e23,e22)
    | e22 = op2(e22,e22)
    | e22 = op2(e21,e22)
    | e22 = op2(e20,e22) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f194,plain,
    ( e23 = op2(e22,e23)
    | e23 = op2(e22,e22)
    | e23 = op2(e22,e21)
    | e23 = op2(e22,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f195,plain,
    ( e23 = op2(e23,e22)
    | e23 = op2(e22,e22)
    | e23 = op2(e21,e22)
    | e23 = op2(e20,e22) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f198,plain,
    ( e21 = op2(e23,e23)
    | e21 = op2(e23,e22)
    | e21 = op2(e23,e21)
    | e21 = op2(e23,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f199,plain,
    ( e21 = op2(e23,e23)
    | e21 = op2(e22,e23)
    | e21 = op2(e21,e23)
    | e21 = op2(e20,e23) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f203,plain,
    ( e23 = op2(e23,e23)
    | e23 = op2(e22,e23)
    | e23 = op2(e21,e23)
    | e23 = op2(e20,e23) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f204,plain,
    op1(e10,e10) != op1(e11,e10),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    op1(e10,e10) != op1(e13,e10),
    inference(cnf_transformation,[],[f5]) ).

fof(f207,plain,
    op1(e11,e10) != op1(e12,e10),
    inference(cnf_transformation,[],[f5]) ).

fof(f209,plain,
    op1(e12,e10) != op1(e13,e10),
    inference(cnf_transformation,[],[f5]) ).

fof(f210,plain,
    op1(e10,e11) != op1(e11,e11),
    inference(cnf_transformation,[],[f5]) ).

fof(f211,plain,
    op1(e10,e11) != op1(e12,e11),
    inference(cnf_transformation,[],[f5]) ).

fof(f212,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(cnf_transformation,[],[f5]) ).

fof(f213,plain,
    op1(e11,e11) != op1(e12,e11),
    inference(cnf_transformation,[],[f5]) ).

fof(f214,plain,
    op1(e11,e11) != op1(e13,e11),
    inference(cnf_transformation,[],[f5]) ).

fof(f215,plain,
    op1(e12,e11) != op1(e13,e11),
    inference(cnf_transformation,[],[f5]) ).

fof(f216,plain,
    op1(e10,e12) != op1(e11,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f217,plain,
    op1(e10,e12) != op1(e12,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f218,plain,
    op1(e10,e12) != op1(e13,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f220,plain,
    op1(e11,e12) != op1(e13,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f221,plain,
    op1(e12,e12) != op1(e13,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f222,plain,
    op1(e10,e13) != op1(e11,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f223,plain,
    op1(e10,e13) != op1(e12,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f226,plain,
    op1(e11,e13) != op1(e13,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f227,plain,
    op1(e12,e13) != op1(e13,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f228,plain,
    op1(e10,e10) != op1(e10,e11),
    inference(cnf_transformation,[],[f5]) ).

fof(f229,plain,
    op1(e10,e10) != op1(e10,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f230,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f231,plain,
    op1(e10,e11) != op1(e10,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f232,plain,
    op1(e10,e11) != op1(e10,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f233,plain,
    op1(e10,e12) != op1(e10,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f235,plain,
    op1(e11,e10) != op1(e11,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f237,plain,
    op1(e11,e11) != op1(e11,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f238,plain,
    op1(e11,e11) != op1(e11,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f239,plain,
    op1(e11,e12) != op1(e11,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f240,plain,
    op1(e12,e10) != op1(e12,e11),
    inference(cnf_transformation,[],[f5]) ).

fof(f241,plain,
    op1(e12,e10) != op1(e12,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f244,plain,
    op1(e12,e11) != op1(e12,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f245,plain,
    op1(e12,e12) != op1(e12,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f246,plain,
    op1(e13,e10) != op1(e13,e11),
    inference(cnf_transformation,[],[f5]) ).

fof(f247,plain,
    op1(e13,e10) != op1(e13,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f248,plain,
    op1(e13,e10) != op1(e13,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f251,plain,
    op1(e13,e12) != op1(e13,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f252,plain,
    op2(e20,e20) != op2(e21,e20),
    inference(cnf_transformation,[],[f6]) ).

fof(f253,plain,
    op2(e20,e20) != op2(e22,e20),
    inference(cnf_transformation,[],[f6]) ).

fof(f254,plain,
    op2(e20,e20) != op2(e23,e20),
    inference(cnf_transformation,[],[f6]) ).

fof(f255,plain,
    op2(e21,e20) != op2(e22,e20),
    inference(cnf_transformation,[],[f6]) ).

fof(f257,plain,
    op2(e22,e20) != op2(e23,e20),
    inference(cnf_transformation,[],[f6]) ).

fof(f258,plain,
    op2(e20,e21) != op2(e21,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f260,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f261,plain,
    op2(e21,e21) != op2(e22,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f262,plain,
    op2(e21,e21) != op2(e23,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f263,plain,
    op2(e22,e21) != op2(e23,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f264,plain,
    op2(e20,e22) != op2(e21,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f265,plain,
    op2(e20,e22) != op2(e22,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f267,plain,
    op2(e21,e22) != op2(e22,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f269,plain,
    op2(e22,e22) != op2(e23,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f270,plain,
    op2(e20,e23) != op2(e21,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f271,plain,
    op2(e20,e23) != op2(e22,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f273,plain,
    op2(e21,e23) != op2(e22,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f274,plain,
    op2(e21,e23) != op2(e23,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f275,plain,
    op2(e22,e23) != op2(e23,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f276,plain,
    op2(e20,e20) != op2(e20,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f277,plain,
    op2(e20,e20) != op2(e20,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f278,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f279,plain,
    op2(e20,e21) != op2(e20,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f280,plain,
    op2(e20,e21) != op2(e20,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f281,plain,
    op2(e20,e22) != op2(e20,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f283,plain,
    op2(e21,e20) != op2(e21,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f284,plain,
    op2(e21,e20) != op2(e21,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f285,plain,
    op2(e21,e21) != op2(e21,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f286,plain,
    op2(e21,e21) != op2(e21,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f287,plain,
    op2(e21,e22) != op2(e21,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f288,plain,
    op2(e22,e20) != op2(e22,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f289,plain,
    op2(e22,e20) != op2(e22,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f290,plain,
    op2(e22,e20) != op2(e22,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f291,plain,
    op2(e22,e21) != op2(e22,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f293,plain,
    op2(e22,e22) != op2(e22,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f294,plain,
    op2(e23,e20) != op2(e23,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f295,plain,
    op2(e23,e20) != op2(e23,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f296,plain,
    op2(e23,e20) != op2(e23,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f297,plain,
    op2(e23,e21) != op2(e23,e22),
    inference(cnf_transformation,[],[f6]) ).

fof(f298,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f299,plain,
    op2(e23,e22) != op2(e23,e23),
    inference(cnf_transformation,[],[f6]) ).

fof(f300,plain,
    e10 != e11,
    inference(cnf_transformation,[],[f7]) ).

fof(f301,plain,
    e10 != e12,
    inference(cnf_transformation,[],[f7]) ).

fof(f302,plain,
    e10 != e13,
    inference(cnf_transformation,[],[f7]) ).

fof(f303,plain,
    e11 != e12,
    inference(cnf_transformation,[],[f7]) ).

fof(f304,plain,
    e11 != e13,
    inference(cnf_transformation,[],[f7]) ).

fof(f305,plain,
    e12 != e13,
    inference(cnf_transformation,[],[f7]) ).

fof(f306,plain,
    e20 != e21,
    inference(cnf_transformation,[],[f8]) ).

fof(f307,plain,
    e20 != e22,
    inference(cnf_transformation,[],[f8]) ).

fof(f308,plain,
    e20 != e23,
    inference(cnf_transformation,[],[f8]) ).

fof(f309,plain,
    e21 != e22,
    inference(cnf_transformation,[],[f8]) ).

fof(f310,plain,
    e21 != e23,
    inference(cnf_transformation,[],[f8]) ).

fof(f311,plain,
    e22 != e23,
    inference(cnf_transformation,[],[f8]) ).

fof(f328,plain,
    ( e12 = op1(e13,e13)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f66]) ).

fof(f334,plain,
    ( e11 = op1(e13,e13)
    | ~ sP13 ),
    inference(cnf_transformation,[],[f67]) ).

fof(f341,plain,
    ( e13 = op1(e13,e10)
    | ~ sP12 ),
    inference(cnf_transformation,[],[f68]) ).

fof(f347,plain,
    ( e12 = op1(e12,e13)
    | ~ sP11 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f352,plain,
    ( e12 = op1(e12,e12)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f70]) ).

fof(f356,plain,
    ( e12 != op1(e12,e12)
    | ~ sP10 ),
    inference(cnf_transformation,[],[f70]) ).

fof(f358,plain,
    ( e11 = op1(e12,e12)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f71]) ).

fof(f362,plain,
    ( e12 != op1(e11,e12)
    | ~ sP9 ),
    inference(cnf_transformation,[],[f71]) ).

fof(f364,plain,
    ( e10 = op1(e12,e12)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f365,plain,
    ( e12 = op1(e12,e10)
    | ~ sP8 ),
    inference(cnf_transformation,[],[f72]) ).

fof(f370,plain,
    ( e13 = op1(e11,e11)
    | ~ sP7 ),
    inference(cnf_transformation,[],[f73]) ).

fof(f377,plain,
    ( e11 = op1(e11,e12)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f74]) ).

fof(f380,plain,
    ( e12 != op1(e12,e12)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f74]) ).

fof(f382,plain,
    ( e11 = op1(e11,e11)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f385,plain,
    ( e11 != op1(e11,e11)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f389,plain,
    ( e11 = op1(e11,e10)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f76]) ).

fof(f395,plain,
    ( e10 = op1(e10,e13)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f77]) ).

fof(f400,plain,
    ( op1(e10,e10) = e12
    | ~ sP2 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f407,plain,
    ( e10 = op1(e10,e11)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f79]) ).

fof(f411,plain,
    ( e13 != op1(e11,e13)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f79]) ).

fof(f412,plain,
    ( e10 = op1(e10,e10)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f414,plain,
    ( e10 != op1(e10,e10)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f418,plain,
    ( op1(e13,e10) = op1(op1(e13,e10),e13)
    | op1(e12,e10) = op1(op1(e12,e10),e12)
    | op1(e11,e10) = op1(op1(e11,e10),e11)
    | op1(e10,e10) = op1(op1(e10,e10),e10) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f419,plain,
    ( op1(e13,e11) = op1(op1(e13,e11),e13)
    | op1(e12,e11) = op1(op1(e12,e11),e12)
    | op1(e11,e11) = op1(op1(e11,e11),e11)
    | op1(e10,e11) = op1(op1(e10,e11),e10) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f420,plain,
    ( op1(e13,e12) = op1(op1(e13,e12),e13)
    | op1(e12,e12) = op1(op1(e12,e12),e12)
    | op1(e11,e12) = op1(op1(e11,e12),e11)
    | op1(e10,e12) = op1(op1(e10,e12),e10) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f421,plain,
    ( op1(e13,e13) = op1(op1(e13,e13),e13)
    | op1(e12,e13) = op1(op1(e12,e13),e12)
    | op1(e11,e13) = op1(op1(e11,e13),e11)
    | op1(e10,e13) = op1(op1(e10,e13),e10) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f422,plain,
    ( e13 = op1(e13,e13)
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f427,plain,
    ( e13 != op1(e13,e13)
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f428,plain,
    ( e22 = op2(e23,e23)
    | ~ sP29 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f434,plain,
    ( e21 = op2(e23,e23)
    | ~ sP28 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f441,plain,
    ( e23 = op2(e23,e20)
    | ~ sP27 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f447,plain,
    ( e22 = op2(e22,e23)
    | ~ sP26 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f452,plain,
    ( e22 = op2(e22,e22)
    | ~ sP25 ),
    inference(cnf_transformation,[],[f85]) ).

fof(f456,plain,
    ( e22 != op2(e22,e22)
    | ~ sP25 ),
    inference(cnf_transformation,[],[f85]) ).

fof(f458,plain,
    ( e21 = op2(e22,e22)
    | ~ sP24 ),
    inference(cnf_transformation,[],[f86]) ).

fof(f460,plain,
    ( e20 != op2(e21,e20)
    | ~ sP24 ),
    inference(cnf_transformation,[],[f86]) ).

fof(f462,plain,
    ( e22 != op2(e21,e22)
    | ~ sP24 ),
    inference(cnf_transformation,[],[f86]) ).

fof(f464,plain,
    ( e20 = op2(e22,e22)
    | ~ sP23 ),
    inference(cnf_transformation,[],[f87]) ).

fof(f465,plain,
    ( e22 = op2(e22,e20)
    | ~ sP23 ),
    inference(cnf_transformation,[],[f87]) ).

fof(f470,plain,
    ( e23 = op2(e21,e21)
    | ~ sP22 ),
    inference(cnf_transformation,[],[f88]) ).

fof(f471,plain,
    ( e21 = op2(e21,e23)
    | ~ sP22 ),
    inference(cnf_transformation,[],[f88]) ).

fof(f473,plain,
    ( e21 != op2(e23,e21)
    | ~ sP22 ),
    inference(cnf_transformation,[],[f88]) ).

fof(f476,plain,
    ( e22 = op2(e21,e21)
    | ~ sP21 ),
    inference(cnf_transformation,[],[f89]) ).

fof(f477,plain,
    ( e21 = op2(e21,e22)
    | ~ sP21 ),
    inference(cnf_transformation,[],[f89]) ).

fof(f480,plain,
    ( e22 != op2(e22,e22)
    | ~ sP21 ),
    inference(cnf_transformation,[],[f89]) ).

fof(f482,plain,
    ( e21 = op2(e21,e21)
    | ~ sP20 ),
    inference(cnf_transformation,[],[f90]) ).

fof(f485,plain,
    ( e21 != op2(e21,e21)
    | ~ sP20 ),
    inference(cnf_transformation,[],[f90]) ).

fof(f489,plain,
    ( e21 = op2(e21,e20)
    | ~ sP19 ),
    inference(cnf_transformation,[],[f91]) ).

fof(f495,plain,
    ( e20 = op2(e20,e23)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f92]) ).

fof(f500,plain,
    ( op2(e20,e20) = e22
    | ~ sP17 ),
    inference(cnf_transformation,[],[f93]) ).

fof(f507,plain,
    ( e20 = op2(e20,e21)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f94]) ).

fof(f508,plain,
    ( e20 != op2(e21,e20)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f94]) ).

fof(f512,plain,
    ( e20 = op2(e20,e20)
    | ~ sP15 ),
    inference(cnf_transformation,[],[f95]) ).

fof(f514,plain,
    ( e20 != op2(e20,e20)
    | ~ sP15 ),
    inference(cnf_transformation,[],[f95]) ).

fof(f518,plain,
    ( op2(e23,e20) = op2(op2(e23,e20),e23)
    | op2(e22,e20) = op2(op2(e22,e20),e22)
    | op2(e21,e20) = op2(op2(e21,e20),e21)
    | op2(e20,e20) = op2(op2(e20,e20),e20) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f519,plain,
    ( op2(e23,e21) = op2(op2(e23,e21),e23)
    | op2(e22,e21) = op2(op2(e22,e21),e22)
    | op2(e21,e21) = op2(op2(e21,e21),e21)
    | op2(e20,e21) = op2(op2(e20,e21),e20) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f520,plain,
    ( op2(e23,e22) = op2(op2(e23,e22),e23)
    | op2(e22,e22) = op2(op2(e22,e22),e22)
    | op2(e21,e22) = op2(op2(e21,e22),e21)
    | op2(e20,e22) = op2(op2(e20,e22),e20) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f521,plain,
    ( op2(e23,e23) = op2(op2(e23,e23),e23)
    | op2(e22,e23) = op2(op2(e22,e23),e22)
    | op2(e21,e23) = op2(op2(e21,e23),e21)
    | op2(e20,e23) = op2(op2(e20,e23),e20) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f522,plain,
    ( e23 = op2(e23,e23)
    | sP29
    | sP28
    | sP27
    | sP26
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f527,plain,
    ( e23 != op2(e23,e23)
    | sP29
    | sP28
    | sP27
    | sP26
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f528,plain,
    e10 = op1(e13,e13),
    inference(cnf_transformation,[],[f12]) ).

fof(f529,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(cnf_transformation,[],[f12]) ).

fof(f530,plain,
    e12 = op1(op1(e13,e13),e13),
    inference(cnf_transformation,[],[f12]) ).

fof(f531,plain,
    e20 = op2(e23,e23),
    inference(cnf_transformation,[],[f13]) ).

fof(f532,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(cnf_transformation,[],[f13]) ).

fof(f533,plain,
    e22 = op2(op2(e23,e23),e23),
    inference(cnf_transformation,[],[f13]) ).

fof(f535,plain,
    op2(e20,e20) = h1(e10),
    inference(cnf_transformation,[],[f14]) ).

fof(f536,plain,
    h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
    inference(cnf_transformation,[],[f14]) ).

fof(f537,plain,
    op2(op2(e20,e20),e20) = h1(e12),
    inference(cnf_transformation,[],[f14]) ).

fof(f539,plain,
    op2(e21,e21) = h2(e10),
    inference(cnf_transformation,[],[f15]) ).

fof(f541,plain,
    op2(op2(e21,e21),e21) = h2(e12),
    inference(cnf_transformation,[],[f15]) ).

fof(f543,plain,
    op2(e22,e22) = h3(e10),
    inference(cnf_transformation,[],[f16]) ).

fof(f544,plain,
    h3(e11) = op2(op2(e22,e22),op2(e22,e22)),
    inference(cnf_transformation,[],[f16]) ).

fof(f545,plain,
    op2(op2(e22,e22),e22) = h3(e12),
    inference(cnf_transformation,[],[f16]) ).

fof(f546,plain,
    e23 = h4(e13),
    inference(cnf_transformation,[],[f17]) ).

fof(f547,plain,
    op2(e23,e23) = h4(e10),
    inference(cnf_transformation,[],[f17]) ).

fof(f548,plain,
    op2(op2(e23,e23),op2(e23,e23)) = h4(e11),
    inference(cnf_transformation,[],[f17]) ).

fof(f549,plain,
    op2(op2(e23,e23),e23) = h4(e12),
    inference(cnf_transformation,[],[f17]) ).

fof(f552,plain,
    ( e22 != h4(e12)
    | ~ sP41 ),
    inference(cnf_transformation,[],[f96]) ).

fof(f555,plain,
    ( e21 != h4(e11)
    | ~ sP40 ),
    inference(cnf_transformation,[],[f97]) ).

fof(f558,plain,
    ( e20 != h4(e10)
    | ~ sP39 ),
    inference(cnf_transformation,[],[f98]) ).

fof(f610,plain,
    ( e23 != h4(e10)
    | sP41
    | sP40
    | sP39
    | 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)) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f612,plain,
    ( e23 != h4(e12)
    | sP41
    | sP40
    | sP39
    | 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)) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f613,plain,
    ( e23 != h4(e13)
    | sP41
    | sP40
    | sP39
    | 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)) ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_49,plain,
    ( op1(e13,e13) = e13
    | op1(e13,e13) = e12
    | op1(e13,e13) = e11
    | op1(e13,e13) = e10 ),
    inference(cnf_transformation,[],[f123]) ).

cnf(c_52,plain,
    ( op1(e13,e10) = e13
    | op1(e13,e10) = e12
    | op1(e13,e10) = e11
    | op1(e13,e10) = e10 ),
    inference(cnf_transformation,[],[f120]) ).

cnf(c_53,plain,
    ( op1(e12,e13) = e13
    | op1(e12,e13) = e12
    | op1(e12,e13) = e11
    | op1(e12,e13) = e10 ),
    inference(cnf_transformation,[],[f119]) ).

cnf(c_55,plain,
    ( op1(e12,e11) = e13
    | op1(e12,e11) = e12
    | op1(e12,e11) = e11
    | op1(e12,e11) = e10 ),
    inference(cnf_transformation,[],[f117]) ).

cnf(c_57,plain,
    ( op1(e11,e13) = e13
    | op1(e11,e13) = e12
    | op1(e11,e13) = e11
    | op1(e11,e13) = e10 ),
    inference(cnf_transformation,[],[f115]) ).

cnf(c_59,plain,
    ( op1(e11,e11) = e13
    | op1(e11,e11) = e12
    | op1(e11,e11) = e11
    | op1(e11,e11) = e10 ),
    inference(cnf_transformation,[],[f113]) ).

cnf(c_62,plain,
    ( op1(e10,e12) = e13
    | op1(e10,e12) = e12
    | op1(e10,e12) = e11
    | op1(e10,e12) = e10 ),
    inference(cnf_transformation,[],[f110]) ).

cnf(c_63,plain,
    ( op1(e10,e11) = e13
    | op1(e10,e11) = e12
    | op1(e10,e11) = e11
    | op1(e10,e11) = e10 ),
    inference(cnf_transformation,[],[f109]) ).

cnf(c_65,plain,
    ( op1(e13,e13) = e13
    | op1(e12,e13) = e13
    | op1(e11,e13) = e13
    | op1(e10,e13) = e13 ),
    inference(cnf_transformation,[],[f155]) ).

cnf(c_66,plain,
    ( op1(e13,e13) = e13
    | op1(e13,e12) = e13
    | op1(e13,e11) = e13
    | op1(e13,e10) = e13 ),
    inference(cnf_transformation,[],[f154]) ).

cnf(c_70,plain,
    ( op1(e13,e13) = e11
    | op1(e13,e12) = e11
    | op1(e13,e11) = e11
    | op1(e13,e10) = e11 ),
    inference(cnf_transformation,[],[f150]) ).

cnf(c_73,plain,
    ( op1(e13,e12) = e13
    | op1(e12,e12) = e13
    | op1(e11,e12) = e13
    | op1(e10,e12) = e13 ),
    inference(cnf_transformation,[],[f147]) ).

cnf(c_75,plain,
    ( op1(e13,e12) = e12
    | op1(e12,e12) = e12
    | op1(e11,e12) = e12
    | op1(e10,e12) = e12 ),
    inference(cnf_transformation,[],[f145]) ).

cnf(c_76,plain,
    ( op1(e12,e13) = e12
    | op1(e12,e12) = e12
    | op1(e12,e11) = e12
    | op1(e12,e10) = e12 ),
    inference(cnf_transformation,[],[f144]) ).

cnf(c_79,plain,
    ( op1(e13,e12) = e10
    | op1(e12,e12) = e10
    | op1(e11,e12) = e10
    | op1(e10,e12) = e10 ),
    inference(cnf_transformation,[],[f141]) ).

cnf(c_80,plain,
    ( op1(e12,e13) = e10
    | op1(e12,e12) = e10
    | op1(e12,e11) = e10
    | op1(e12,e10) = e10 ),
    inference(cnf_transformation,[],[f140]) ).

cnf(c_81,plain,
    ( op1(e13,e11) = e13
    | op1(e12,e11) = e13
    | op1(e11,e11) = e13
    | op1(e10,e11) = e13 ),
    inference(cnf_transformation,[],[f139]) ).

cnf(c_83,plain,
    ( op1(e13,e11) = e12
    | op1(e12,e11) = e12
    | op1(e11,e11) = e12
    | op1(e10,e11) = e12 ),
    inference(cnf_transformation,[],[f137]) ).

cnf(c_84,plain,
    ( op1(e11,e13) = e12
    | op1(e11,e12) = e12
    | op1(e11,e11) = e12
    | op1(e11,e10) = e12 ),
    inference(cnf_transformation,[],[f136]) ).

cnf(c_85,plain,
    ( op1(e13,e11) = e11
    | op1(e12,e11) = e11
    | op1(e11,e11) = e11
    | op1(e10,e11) = e11 ),
    inference(cnf_transformation,[],[f135]) ).

cnf(c_90,plain,
    ( op1(e10,e13) = e13
    | op1(e10,e12) = e13
    | op1(e10,e11) = e13
    | op1(e10,e10) = e13 ),
    inference(cnf_transformation,[],[f130]) ).

cnf(c_91,plain,
    ( op1(e13,e10) = e12
    | op1(e12,e10) = e12
    | op1(e11,e10) = e12
    | op1(e10,e10) = e12 ),
    inference(cnf_transformation,[],[f129]) ).

cnf(c_95,plain,
    ( op1(e13,e10) = e10
    | op1(e12,e10) = e10
    | op1(e11,e10) = e10
    | op1(e10,e10) = e10 ),
    inference(cnf_transformation,[],[f125]) ).

cnf(c_96,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e12) = e10
    | op1(e10,e11) = e10
    | op1(e10,e10) = e10 ),
    inference(cnf_transformation,[],[f124]) ).

cnf(c_97,plain,
    ( op2(e23,e23) = e23
    | op2(e23,e23) = e22
    | op2(e23,e23) = e21
    | op2(e23,e23) = e20 ),
    inference(cnf_transformation,[],[f171]) ).

cnf(c_98,plain,
    ( op2(e23,e22) = e23
    | op2(e23,e22) = e22
    | op2(e23,e22) = e21
    | op2(e23,e22) = e20 ),
    inference(cnf_transformation,[],[f170]) ).

cnf(c_99,plain,
    ( op2(e23,e21) = e23
    | op2(e23,e21) = e22
    | op2(e23,e21) = e21
    | op2(e23,e21) = e20 ),
    inference(cnf_transformation,[],[f169]) ).

cnf(c_101,plain,
    ( op2(e22,e23) = e23
    | op2(e22,e23) = e22
    | op2(e22,e23) = e21
    | op2(e22,e23) = e20 ),
    inference(cnf_transformation,[],[f167]) ).

cnf(c_102,plain,
    ( op2(e22,e22) = e23
    | op2(e22,e22) = e22
    | op2(e22,e22) = e21
    | op2(e22,e22) = e20 ),
    inference(cnf_transformation,[],[f166]) ).

cnf(c_104,plain,
    ( op2(e22,e20) = e23
    | op2(e22,e20) = e22
    | op2(e22,e20) = e21
    | op2(e22,e20) = e20 ),
    inference(cnf_transformation,[],[f164]) ).

cnf(c_105,plain,
    ( op2(e21,e23) = e23
    | op2(e21,e23) = e22
    | op2(e21,e23) = e21
    | op2(e21,e23) = e20 ),
    inference(cnf_transformation,[],[f163]) ).

cnf(c_106,plain,
    ( op2(e21,e22) = e23
    | op2(e21,e22) = e22
    | op2(e21,e22) = e21
    | op2(e21,e22) = e20 ),
    inference(cnf_transformation,[],[f162]) ).

cnf(c_108,plain,
    ( op2(e21,e20) = e23
    | op2(e21,e20) = e22
    | op2(e21,e20) = e21
    | op2(e21,e20) = e20 ),
    inference(cnf_transformation,[],[f160]) ).

cnf(c_110,plain,
    ( op2(e20,e22) = e23
    | op2(e20,e22) = e22
    | op2(e20,e22) = e21
    | op2(e20,e22) = e20 ),
    inference(cnf_transformation,[],[f158]) ).

cnf(c_111,plain,
    ( op2(e20,e21) = e23
    | op2(e20,e21) = e22
    | op2(e20,e21) = e21
    | op2(e20,e21) = e20 ),
    inference(cnf_transformation,[],[f157]) ).

cnf(c_113,plain,
    ( op2(e23,e23) = e23
    | op2(e22,e23) = e23
    | op2(e21,e23) = e23
    | op2(e20,e23) = e23 ),
    inference(cnf_transformation,[],[f203]) ).

cnf(c_117,plain,
    ( op2(e23,e23) = e21
    | op2(e22,e23) = e21
    | op2(e21,e23) = e21
    | op2(e20,e23) = e21 ),
    inference(cnf_transformation,[],[f199]) ).

cnf(c_118,plain,
    ( op2(e23,e23) = e21
    | op2(e23,e22) = e21
    | op2(e23,e21) = e21
    | op2(e23,e20) = e21 ),
    inference(cnf_transformation,[],[f198]) ).

cnf(c_121,plain,
    ( op2(e23,e22) = e23
    | op2(e22,e22) = e23
    | op2(e21,e22) = e23
    | op2(e20,e22) = e23 ),
    inference(cnf_transformation,[],[f195]) ).

cnf(c_122,plain,
    ( op2(e22,e23) = e23
    | op2(e22,e22) = e23
    | op2(e22,e21) = e23
    | op2(e22,e20) = e23 ),
    inference(cnf_transformation,[],[f194]) ).

cnf(c_123,plain,
    ( op2(e23,e22) = e22
    | op2(e22,e22) = e22
    | op2(e21,e22) = e22
    | op2(e20,e22) = e22 ),
    inference(cnf_transformation,[],[f193]) ).

cnf(c_124,plain,
    ( op2(e22,e23) = e22
    | op2(e22,e22) = e22
    | op2(e22,e21) = e22
    | op2(e22,e20) = e22 ),
    inference(cnf_transformation,[],[f192]) ).

cnf(c_125,plain,
    ( op2(e23,e22) = e21
    | op2(e22,e22) = e21
    | op2(e21,e22) = e21
    | op2(e20,e22) = e21 ),
    inference(cnf_transformation,[],[f191]) ).

cnf(c_126,plain,
    ( op2(e22,e23) = e21
    | op2(e22,e22) = e21
    | op2(e22,e21) = e21
    | op2(e22,e20) = e21 ),
    inference(cnf_transformation,[],[f190]) ).

cnf(c_127,plain,
    ( op2(e23,e22) = e20
    | op2(e22,e22) = e20
    | op2(e21,e22) = e20
    | op2(e20,e22) = e20 ),
    inference(cnf_transformation,[],[f189]) ).

cnf(c_128,plain,
    ( op2(e22,e23) = e20
    | op2(e22,e22) = e20
    | op2(e22,e21) = e20
    | op2(e22,e20) = e20 ),
    inference(cnf_transformation,[],[f188]) ).

cnf(c_129,plain,
    ( op2(e23,e21) = e23
    | op2(e22,e21) = e23
    | op2(e21,e21) = e23
    | op2(e20,e21) = e23 ),
    inference(cnf_transformation,[],[f187]) ).

cnf(c_130,plain,
    ( op2(e21,e23) = e23
    | op2(e21,e22) = e23
    | op2(e21,e21) = e23
    | op2(e21,e20) = e23 ),
    inference(cnf_transformation,[],[f186]) ).

cnf(c_131,plain,
    ( op2(e23,e21) = e22
    | op2(e22,e21) = e22
    | op2(e21,e21) = e22
    | op2(e20,e21) = e22 ),
    inference(cnf_transformation,[],[f185]) ).

cnf(c_132,plain,
    ( op2(e21,e23) = e22
    | op2(e21,e22) = e22
    | op2(e21,e21) = e22
    | op2(e21,e20) = e22 ),
    inference(cnf_transformation,[],[f184]) ).

cnf(c_134,plain,
    ( op2(e21,e23) = e21
    | op2(e21,e22) = e21
    | op2(e21,e21) = e21
    | op2(e21,e20) = e21 ),
    inference(cnf_transformation,[],[f182]) ).

cnf(c_136,plain,
    ( op2(e21,e23) = e20
    | op2(e21,e22) = e20
    | op2(e21,e21) = e20
    | op2(e21,e20) = e20 ),
    inference(cnf_transformation,[],[f180]) ).

cnf(c_137,plain,
    ( op2(e23,e20) = e23
    | op2(e22,e20) = e23
    | op2(e21,e20) = e23
    | op2(e20,e20) = e23 ),
    inference(cnf_transformation,[],[f179]) ).

cnf(c_138,plain,
    ( op2(e20,e23) = e23
    | op2(e20,e22) = e23
    | op2(e20,e21) = e23
    | op2(e20,e20) = e23 ),
    inference(cnf_transformation,[],[f178]) ).

cnf(c_139,plain,
    ( op2(e23,e20) = e22
    | op2(e22,e20) = e22
    | op2(e21,e20) = e22
    | op2(e20,e20) = e22 ),
    inference(cnf_transformation,[],[f177]) ).

cnf(c_143,plain,
    ( op2(e23,e20) = e20
    | op2(e22,e20) = e20
    | op2(e21,e20) = e20
    | op2(e20,e20) = e20 ),
    inference(cnf_transformation,[],[f173]) ).

cnf(c_144,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e22) = e20
    | op2(e20,e21) = e20
    | op2(e20,e20) = e20 ),
    inference(cnf_transformation,[],[f172]) ).

cnf(c_145,plain,
    op1(e13,e13) != op1(e13,e12),
    inference(cnf_transformation,[],[f251]) ).

cnf(c_148,plain,
    op1(e13,e13) != op1(e13,e10),
    inference(cnf_transformation,[],[f248]) ).

cnf(c_149,plain,
    op1(e13,e12) != op1(e13,e10),
    inference(cnf_transformation,[],[f247]) ).

cnf(c_150,plain,
    op1(e13,e11) != op1(e13,e10),
    inference(cnf_transformation,[],[f246]) ).

cnf(c_151,plain,
    op1(e12,e13) != op1(e12,e12),
    inference(cnf_transformation,[],[f245]) ).

cnf(c_152,plain,
    op1(e12,e13) != op1(e12,e11),
    inference(cnf_transformation,[],[f244]) ).

cnf(c_155,plain,
    op1(e12,e12) != op1(e12,e10),
    inference(cnf_transformation,[],[f241]) ).

cnf(c_156,plain,
    op1(e12,e11) != op1(e12,e10),
    inference(cnf_transformation,[],[f240]) ).

cnf(c_157,plain,
    op1(e11,e13) != op1(e11,e12),
    inference(cnf_transformation,[],[f239]) ).

cnf(c_158,plain,
    op1(e11,e13) != op1(e11,e11),
    inference(cnf_transformation,[],[f238]) ).

cnf(c_159,plain,
    op1(e11,e12) != op1(e11,e11),
    inference(cnf_transformation,[],[f237]) ).

cnf(c_161,plain,
    op1(e11,e12) != op1(e11,e10),
    inference(cnf_transformation,[],[f235]) ).

cnf(c_163,plain,
    op1(e10,e13) != op1(e10,e12),
    inference(cnf_transformation,[],[f233]) ).

cnf(c_164,plain,
    op1(e10,e13) != op1(e10,e11),
    inference(cnf_transformation,[],[f232]) ).

cnf(c_165,plain,
    op1(e10,e12) != op1(e10,e11),
    inference(cnf_transformation,[],[f231]) ).

cnf(c_166,plain,
    op1(e10,e13) != op1(e10,e10),
    inference(cnf_transformation,[],[f230]) ).

cnf(c_167,plain,
    op1(e10,e12) != op1(e10,e10),
    inference(cnf_transformation,[],[f229]) ).

cnf(c_168,plain,
    op1(e10,e11) != op1(e10,e10),
    inference(cnf_transformation,[],[f228]) ).

cnf(c_169,plain,
    op1(e13,e13) != op1(e12,e13),
    inference(cnf_transformation,[],[f227]) ).

cnf(c_170,plain,
    op1(e13,e13) != op1(e11,e13),
    inference(cnf_transformation,[],[f226]) ).

cnf(c_173,plain,
    op1(e12,e13) != op1(e10,e13),
    inference(cnf_transformation,[],[f223]) ).

cnf(c_174,plain,
    op1(e11,e13) != op1(e10,e13),
    inference(cnf_transformation,[],[f222]) ).

cnf(c_175,plain,
    op1(e13,e12) != op1(e12,e12),
    inference(cnf_transformation,[],[f221]) ).

cnf(c_176,plain,
    op1(e13,e12) != op1(e11,e12),
    inference(cnf_transformation,[],[f220]) ).

cnf(c_178,plain,
    op1(e13,e12) != op1(e10,e12),
    inference(cnf_transformation,[],[f218]) ).

cnf(c_179,plain,
    op1(e12,e12) != op1(e10,e12),
    inference(cnf_transformation,[],[f217]) ).

cnf(c_180,plain,
    op1(e11,e12) != op1(e10,e12),
    inference(cnf_transformation,[],[f216]) ).

cnf(c_181,plain,
    op1(e13,e11) != op1(e12,e11),
    inference(cnf_transformation,[],[f215]) ).

cnf(c_182,plain,
    op1(e13,e11) != op1(e11,e11),
    inference(cnf_transformation,[],[f214]) ).

cnf(c_183,plain,
    op1(e12,e11) != op1(e11,e11),
    inference(cnf_transformation,[],[f213]) ).

cnf(c_184,plain,
    op1(e13,e11) != op1(e10,e11),
    inference(cnf_transformation,[],[f212]) ).

cnf(c_185,plain,
    op1(e12,e11) != op1(e10,e11),
    inference(cnf_transformation,[],[f211]) ).

cnf(c_186,plain,
    op1(e11,e11) != op1(e10,e11),
    inference(cnf_transformation,[],[f210]) ).

cnf(c_187,plain,
    op1(e13,e10) != op1(e12,e10),
    inference(cnf_transformation,[],[f209]) ).

cnf(c_189,plain,
    op1(e12,e10) != op1(e11,e10),
    inference(cnf_transformation,[],[f207]) ).

cnf(c_190,plain,
    op1(e13,e10) != op1(e10,e10),
    inference(cnf_transformation,[],[f206]) ).

cnf(c_192,plain,
    op1(e11,e10) != op1(e10,e10),
    inference(cnf_transformation,[],[f204]) ).

cnf(c_193,plain,
    op2(e23,e23) != op2(e23,e22),
    inference(cnf_transformation,[],[f299]) ).

cnf(c_194,plain,
    op2(e23,e23) != op2(e23,e21),
    inference(cnf_transformation,[],[f298]) ).

cnf(c_195,plain,
    op2(e23,e22) != op2(e23,e21),
    inference(cnf_transformation,[],[f297]) ).

cnf(c_196,plain,
    op2(e23,e23) != op2(e23,e20),
    inference(cnf_transformation,[],[f296]) ).

cnf(c_197,plain,
    op2(e23,e22) != op2(e23,e20),
    inference(cnf_transformation,[],[f295]) ).

cnf(c_198,plain,
    op2(e23,e21) != op2(e23,e20),
    inference(cnf_transformation,[],[f294]) ).

cnf(c_199,plain,
    op2(e22,e23) != op2(e22,e22),
    inference(cnf_transformation,[],[f293]) ).

cnf(c_201,plain,
    op2(e22,e22) != op2(e22,e21),
    inference(cnf_transformation,[],[f291]) ).

cnf(c_202,plain,
    op2(e22,e23) != op2(e22,e20),
    inference(cnf_transformation,[],[f290]) ).

cnf(c_203,plain,
    op2(e22,e22) != op2(e22,e20),
    inference(cnf_transformation,[],[f289]) ).

cnf(c_204,plain,
    op2(e22,e21) != op2(e22,e20),
    inference(cnf_transformation,[],[f288]) ).

cnf(c_205,plain,
    op2(e21,e23) != op2(e21,e22),
    inference(cnf_transformation,[],[f287]) ).

cnf(c_206,plain,
    op2(e21,e23) != op2(e21,e21),
    inference(cnf_transformation,[],[f286]) ).

cnf(c_207,plain,
    op2(e21,e22) != op2(e21,e21),
    inference(cnf_transformation,[],[f285]) ).

cnf(c_208,plain,
    op2(e21,e23) != op2(e21,e20),
    inference(cnf_transformation,[],[f284]) ).

cnf(c_209,plain,
    op2(e21,e22) != op2(e21,e20),
    inference(cnf_transformation,[],[f283]) ).

cnf(c_211,plain,
    op2(e20,e23) != op2(e20,e22),
    inference(cnf_transformation,[],[f281]) ).

cnf(c_212,plain,
    op2(e20,e23) != op2(e20,e21),
    inference(cnf_transformation,[],[f280]) ).

cnf(c_213,plain,
    op2(e20,e22) != op2(e20,e21),
    inference(cnf_transformation,[],[f279]) ).

cnf(c_214,plain,
    op2(e20,e23) != op2(e20,e20),
    inference(cnf_transformation,[],[f278]) ).

cnf(c_215,plain,
    op2(e20,e22) != op2(e20,e20),
    inference(cnf_transformation,[],[f277]) ).

cnf(c_216,plain,
    op2(e20,e21) != op2(e20,e20),
    inference(cnf_transformation,[],[f276]) ).

cnf(c_217,plain,
    op2(e23,e23) != op2(e22,e23),
    inference(cnf_transformation,[],[f275]) ).

cnf(c_218,plain,
    op2(e23,e23) != op2(e21,e23),
    inference(cnf_transformation,[],[f274]) ).

cnf(c_219,plain,
    op2(e22,e23) != op2(e21,e23),
    inference(cnf_transformation,[],[f273]) ).

cnf(c_221,plain,
    op2(e22,e23) != op2(e20,e23),
    inference(cnf_transformation,[],[f271]) ).

cnf(c_222,plain,
    op2(e21,e23) != op2(e20,e23),
    inference(cnf_transformation,[],[f270]) ).

cnf(c_223,plain,
    op2(e23,e22) != op2(e22,e22),
    inference(cnf_transformation,[],[f269]) ).

cnf(c_225,plain,
    op2(e22,e22) != op2(e21,e22),
    inference(cnf_transformation,[],[f267]) ).

cnf(c_227,plain,
    op2(e22,e22) != op2(e20,e22),
    inference(cnf_transformation,[],[f265]) ).

cnf(c_228,plain,
    op2(e21,e22) != op2(e20,e22),
    inference(cnf_transformation,[],[f264]) ).

cnf(c_229,plain,
    op2(e23,e21) != op2(e22,e21),
    inference(cnf_transformation,[],[f263]) ).

cnf(c_230,plain,
    op2(e23,e21) != op2(e21,e21),
    inference(cnf_transformation,[],[f262]) ).

cnf(c_231,plain,
    op2(e22,e21) != op2(e21,e21),
    inference(cnf_transformation,[],[f261]) ).

cnf(c_232,plain,
    op2(e23,e21) != op2(e20,e21),
    inference(cnf_transformation,[],[f260]) ).

cnf(c_234,plain,
    op2(e21,e21) != op2(e20,e21),
    inference(cnf_transformation,[],[f258]) ).

cnf(c_235,plain,
    op2(e23,e20) != op2(e22,e20),
    inference(cnf_transformation,[],[f257]) ).

cnf(c_237,plain,
    op2(e22,e20) != op2(e21,e20),
    inference(cnf_transformation,[],[f255]) ).

cnf(c_238,plain,
    op2(e23,e20) != op2(e20,e20),
    inference(cnf_transformation,[],[f254]) ).

cnf(c_239,plain,
    op2(e22,e20) != op2(e20,e20),
    inference(cnf_transformation,[],[f253]) ).

cnf(c_240,plain,
    op2(e21,e20) != op2(e20,e20),
    inference(cnf_transformation,[],[f252]) ).

cnf(c_241,plain,
    e13 != e12,
    inference(cnf_transformation,[],[f305]) ).

cnf(c_242,plain,
    e13 != e11,
    inference(cnf_transformation,[],[f304]) ).

cnf(c_243,plain,
    e12 != e11,
    inference(cnf_transformation,[],[f303]) ).

cnf(c_244,plain,
    e13 != e10,
    inference(cnf_transformation,[],[f302]) ).

cnf(c_245,plain,
    e12 != e10,
    inference(cnf_transformation,[],[f301]) ).

cnf(c_246,plain,
    e11 != e10,
    inference(cnf_transformation,[],[f300]) ).

cnf(c_247,plain,
    e23 != e22,
    inference(cnf_transformation,[],[f311]) ).

cnf(c_248,plain,
    e23 != e21,
    inference(cnf_transformation,[],[f310]) ).

cnf(c_249,plain,
    e22 != e21,
    inference(cnf_transformation,[],[f309]) ).

cnf(c_250,plain,
    e23 != e20,
    inference(cnf_transformation,[],[f308]) ).

cnf(c_251,plain,
    e22 != e20,
    inference(cnf_transformation,[],[f307]) ).

cnf(c_252,plain,
    e21 != e20,
    inference(cnf_transformation,[],[f306]) ).

cnf(c_274,plain,
    ( ~ sP14
    | op1(e13,e13) = e12 ),
    inference(cnf_transformation,[],[f328]) ).

cnf(c_280,plain,
    ( ~ sP13
    | op1(e13,e13) = e11 ),
    inference(cnf_transformation,[],[f334]) ).

cnf(c_285,plain,
    ( ~ sP12
    | op1(e13,e10) = e13 ),
    inference(cnf_transformation,[],[f341]) ).

cnf(c_291,plain,
    ( ~ sP11
    | op1(e12,e13) = e12 ),
    inference(cnf_transformation,[],[f347]) ).

cnf(c_294,plain,
    ( op1(e12,e12) != e12
    | ~ sP10 ),
    inference(cnf_transformation,[],[f356]) ).

cnf(c_298,plain,
    ( ~ sP10
    | op1(e12,e12) = e12 ),
    inference(cnf_transformation,[],[f352]) ).

cnf(c_300,plain,
    ( op1(e11,e12) != e12
    | ~ sP9 ),
    inference(cnf_transformation,[],[f362]) ).

cnf(c_304,plain,
    ( ~ sP9
    | op1(e12,e12) = e11 ),
    inference(cnf_transformation,[],[f358]) ).

cnf(c_309,plain,
    ( ~ sP8
    | op1(e12,e10) = e12 ),
    inference(cnf_transformation,[],[f365]) ).

cnf(c_310,plain,
    ( ~ sP8
    | op1(e12,e12) = e10 ),
    inference(cnf_transformation,[],[f364]) ).

cnf(c_316,plain,
    ( ~ sP7
    | op1(e11,e11) = e13 ),
    inference(cnf_transformation,[],[f370]) ).

cnf(c_318,plain,
    ( op1(e12,e12) != e12
    | ~ sP6 ),
    inference(cnf_transformation,[],[f380]) ).

cnf(c_321,plain,
    ( ~ sP6
    | op1(e11,e12) = e11 ),
    inference(cnf_transformation,[],[f377]) ).

cnf(c_325,plain,
    ( op1(e11,e11) != e11
    | ~ sP5 ),
    inference(cnf_transformation,[],[f385]) ).

cnf(c_328,plain,
    ( ~ sP5
    | op1(e11,e11) = e11 ),
    inference(cnf_transformation,[],[f382]) ).

cnf(c_333,plain,
    ( ~ sP4
    | op1(e11,e10) = e11 ),
    inference(cnf_transformation,[],[f389]) ).

cnf(c_339,plain,
    ( ~ sP3
    | op1(e10,e13) = e10 ),
    inference(cnf_transformation,[],[f395]) ).

cnf(c_346,plain,
    ( ~ sP2
    | op1(e10,e10) = e12 ),
    inference(cnf_transformation,[],[f400]) ).

cnf(c_347,plain,
    ( op1(e11,e13) != e13
    | ~ sP1 ),
    inference(cnf_transformation,[],[f411]) ).

cnf(c_351,plain,
    ( ~ sP1
    | op1(e10,e11) = e10 ),
    inference(cnf_transformation,[],[f407]) ).

cnf(c_356,plain,
    ( op1(e10,e10) != e10
    | ~ sP0 ),
    inference(cnf_transformation,[],[f414]) ).

cnf(c_358,plain,
    ( ~ sP0
    | op1(e10,e10) = e10 ),
    inference(cnf_transformation,[],[f412]) ).

cnf(c_359,plain,
    ( op1(e13,e13) != e13
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f427]) ).

cnf(c_364,plain,
    ( op1(e13,e13) = e13
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f422]) ).

cnf(c_365,plain,
    ( op1(op1(e13,e13),e13) = op1(e13,e13)
    | op1(op1(e12,e13),e12) = op1(e12,e13)
    | op1(op1(e11,e13),e11) = op1(e11,e13)
    | op1(op1(e10,e13),e10) = op1(e10,e13) ),
    inference(cnf_transformation,[],[f421]) ).

cnf(c_366,plain,
    ( op1(op1(e13,e12),e13) = op1(e13,e12)
    | op1(op1(e12,e12),e12) = op1(e12,e12)
    | op1(op1(e11,e12),e11) = op1(e11,e12)
    | op1(op1(e10,e12),e10) = op1(e10,e12) ),
    inference(cnf_transformation,[],[f420]) ).

cnf(c_367,plain,
    ( op1(op1(e13,e11),e13) = op1(e13,e11)
    | op1(op1(e12,e11),e12) = op1(e12,e11)
    | op1(op1(e11,e11),e11) = op1(e11,e11)
    | op1(op1(e10,e11),e10) = op1(e10,e11) ),
    inference(cnf_transformation,[],[f419]) ).

cnf(c_368,plain,
    ( op1(op1(e13,e10),e13) = op1(e13,e10)
    | op1(op1(e12,e10),e12) = op1(e12,e10)
    | op1(op1(e11,e10),e11) = op1(e11,e10)
    | op1(op1(e10,e10),e10) = op1(e10,e10) ),
    inference(cnf_transformation,[],[f418]) ).

cnf(c_374,plain,
    ( ~ sP29
    | op2(e23,e23) = e22 ),
    inference(cnf_transformation,[],[f428]) ).

cnf(c_380,plain,
    ( ~ sP28
    | op2(e23,e23) = e21 ),
    inference(cnf_transformation,[],[f434]) ).

cnf(c_385,plain,
    ( ~ sP27
    | op2(e23,e20) = e23 ),
    inference(cnf_transformation,[],[f441]) ).

cnf(c_391,plain,
    ( ~ sP26
    | op2(e22,e23) = e22 ),
    inference(cnf_transformation,[],[f447]) ).

cnf(c_394,plain,
    ( op2(e22,e22) != e22
    | ~ sP25 ),
    inference(cnf_transformation,[],[f456]) ).

cnf(c_398,plain,
    ( ~ sP25
    | op2(e22,e22) = e22 ),
    inference(cnf_transformation,[],[f452]) ).

cnf(c_400,plain,
    ( op2(e21,e22) != e22
    | ~ sP24 ),
    inference(cnf_transformation,[],[f462]) ).

cnf(c_402,plain,
    ( op2(e21,e20) != e20
    | ~ sP24 ),
    inference(cnf_transformation,[],[f460]) ).

cnf(c_404,plain,
    ( ~ sP24
    | op2(e22,e22) = e21 ),
    inference(cnf_transformation,[],[f458]) ).

cnf(c_409,plain,
    ( ~ sP23
    | op2(e22,e20) = e22 ),
    inference(cnf_transformation,[],[f465]) ).

cnf(c_410,plain,
    ( ~ sP23
    | op2(e22,e22) = e20 ),
    inference(cnf_transformation,[],[f464]) ).

cnf(c_413,plain,
    ( op2(e23,e21) != e21
    | ~ sP22 ),
    inference(cnf_transformation,[],[f473]) ).

cnf(c_415,plain,
    ( ~ sP22
    | op2(e21,e23) = e21 ),
    inference(cnf_transformation,[],[f471]) ).

cnf(c_416,plain,
    ( ~ sP22
    | op2(e21,e21) = e23 ),
    inference(cnf_transformation,[],[f470]) ).

cnf(c_418,plain,
    ( op2(e22,e22) != e22
    | ~ sP21 ),
    inference(cnf_transformation,[],[f480]) ).

cnf(c_421,plain,
    ( ~ sP21
    | op2(e21,e22) = e21 ),
    inference(cnf_transformation,[],[f477]) ).

cnf(c_422,plain,
    ( ~ sP21
    | op2(e21,e21) = e22 ),
    inference(cnf_transformation,[],[f476]) ).

cnf(c_425,plain,
    ( op2(e21,e21) != e21
    | ~ sP20 ),
    inference(cnf_transformation,[],[f485]) ).

cnf(c_428,plain,
    ( ~ sP20
    | op2(e21,e21) = e21 ),
    inference(cnf_transformation,[],[f482]) ).

cnf(c_433,plain,
    ( ~ sP19
    | op2(e21,e20) = e21 ),
    inference(cnf_transformation,[],[f489]) ).

cnf(c_439,plain,
    ( ~ sP18
    | op2(e20,e23) = e20 ),
    inference(cnf_transformation,[],[f495]) ).

cnf(c_446,plain,
    ( ~ sP17
    | op2(e20,e20) = e22 ),
    inference(cnf_transformation,[],[f500]) ).

cnf(c_450,plain,
    ( op2(e21,e20) != e20
    | ~ sP16 ),
    inference(cnf_transformation,[],[f508]) ).

cnf(c_451,plain,
    ( ~ sP16
    | op2(e20,e21) = e20 ),
    inference(cnf_transformation,[],[f507]) ).

cnf(c_456,plain,
    ( op2(e20,e20) != e20
    | ~ sP15 ),
    inference(cnf_transformation,[],[f514]) ).

cnf(c_458,plain,
    ( ~ sP15
    | op2(e20,e20) = e20 ),
    inference(cnf_transformation,[],[f512]) ).

cnf(c_459,plain,
    ( op2(e23,e23) != e23
    | sP29
    | sP28
    | sP27
    | sP26
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15 ),
    inference(cnf_transformation,[],[f527]) ).

cnf(c_464,plain,
    ( op2(e23,e23) = e23
    | sP29
    | sP28
    | sP27
    | sP26
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15 ),
    inference(cnf_transformation,[],[f522]) ).

cnf(c_465,plain,
    ( op2(op2(e23,e23),e23) = op2(e23,e23)
    | op2(op2(e22,e23),e22) = op2(e22,e23)
    | op2(op2(e21,e23),e21) = op2(e21,e23)
    | op2(op2(e20,e23),e20) = op2(e20,e23) ),
    inference(cnf_transformation,[],[f521]) ).

cnf(c_466,plain,
    ( op2(op2(e23,e22),e23) = op2(e23,e22)
    | op2(op2(e22,e22),e22) = op2(e22,e22)
    | op2(op2(e21,e22),e21) = op2(e21,e22)
    | op2(op2(e20,e22),e20) = op2(e20,e22) ),
    inference(cnf_transformation,[],[f520]) ).

cnf(c_467,plain,
    ( op2(op2(e23,e21),e23) = op2(e23,e21)
    | op2(op2(e22,e21),e22) = op2(e22,e21)
    | op2(op2(e21,e21),e21) = op2(e21,e21)
    | op2(op2(e20,e21),e20) = op2(e20,e21) ),
    inference(cnf_transformation,[],[f519]) ).

cnf(c_468,plain,
    ( op2(op2(e23,e20),e23) = op2(e23,e20)
    | op2(op2(e22,e20),e22) = op2(e22,e20)
    | op2(op2(e21,e20),e21) = op2(e21,e20)
    | op2(op2(e20,e20),e20) = op2(e20,e20) ),
    inference(cnf_transformation,[],[f518]) ).

cnf(c_469,plain,
    op1(op1(e13,e13),e13) = e12,
    inference(cnf_transformation,[],[f530]) ).

cnf(c_470,plain,
    op1(op1(e13,e13),op1(e13,e13)) = e11,
    inference(cnf_transformation,[],[f529]) ).

cnf(c_471,plain,
    op1(e13,e13) = e10,
    inference(cnf_transformation,[],[f528]) ).

cnf(c_472,plain,
    op2(op2(e23,e23),e23) = e22,
    inference(cnf_transformation,[],[f533]) ).

cnf(c_473,plain,
    op2(op2(e23,e23),op2(e23,e23)) = e21,
    inference(cnf_transformation,[],[f532]) ).

cnf(c_474,plain,
    op2(e23,e23) = e20,
    inference(cnf_transformation,[],[f531]) ).

cnf(c_475,plain,
    op2(op2(e20,e20),e20) = h1(e12),
    inference(cnf_transformation,[],[f537]) ).

cnf(c_476,plain,
    op2(op2(e20,e20),op2(e20,e20)) = h1(e11),
    inference(cnf_transformation,[],[f536]) ).

cnf(c_477,plain,
    op2(e20,e20) = h1(e10),
    inference(cnf_transformation,[],[f535]) ).

cnf(c_479,plain,
    op2(op2(e21,e21),e21) = h2(e12),
    inference(cnf_transformation,[],[f541]) ).

cnf(c_481,plain,
    op2(e21,e21) = h2(e10),
    inference(cnf_transformation,[],[f539]) ).

cnf(c_483,plain,
    op2(op2(e22,e22),e22) = h3(e12),
    inference(cnf_transformation,[],[f545]) ).

cnf(c_484,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h3(e11),
    inference(cnf_transformation,[],[f544]) ).

cnf(c_485,plain,
    op2(e22,e22) = h3(e10),
    inference(cnf_transformation,[],[f543]) ).

cnf(c_487,plain,
    op2(op2(e23,e23),e23) = h4(e12),
    inference(cnf_transformation,[],[f549]) ).

cnf(c_488,plain,
    op2(op2(e23,e23),op2(e23,e23)) = h4(e11),
    inference(cnf_transformation,[],[f548]) ).

cnf(c_489,plain,
    op2(e23,e23) = h4(e10),
    inference(cnf_transformation,[],[f547]) ).

cnf(c_490,plain,
    h4(e13) = e23,
    inference(cnf_transformation,[],[f546]) ).

cnf(c_492,plain,
    ( h4(e12) != e22
    | ~ sP41 ),
    inference(cnf_transformation,[],[f552]) ).

cnf(c_497,plain,
    ( h4(e11) != e21
    | ~ sP40 ),
    inference(cnf_transformation,[],[f555]) ).

cnf(c_502,plain,
    ( h4(e10) != e20
    | ~ sP39 ),
    inference(cnf_transformation,[],[f558]) ).

cnf(c_539,negated_conjecture,
    ( op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
    | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
    | op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
    | op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
    | op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
    | op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
    | op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
    | op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
    | op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
    | op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
    | op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
    | op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
    | op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
    | op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
    | op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
    | op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
    | h4(e13) != e23
    | sP41
    | sP40
    | sP39 ),
    inference(cnf_transformation,[],[f613]) ).

cnf(c_540,negated_conjecture,
    ( op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
    | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
    | op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
    | op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
    | op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
    | op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
    | op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
    | op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
    | op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
    | op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
    | op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
    | op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
    | op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
    | op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
    | op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
    | op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
    | h4(e12) != e23
    | sP41
    | sP40
    | sP39 ),
    inference(cnf_transformation,[],[f612]) ).

cnf(c_542,negated_conjecture,
    ( op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
    | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
    | op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
    | op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
    | op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
    | op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
    | op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
    | op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
    | op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
    | op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
    | op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
    | op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
    | op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
    | op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
    | op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
    | op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
    | h4(e10) != e23
    | sP41
    | sP40
    | sP39 ),
    inference(cnf_transformation,[],[f610]) ).

cnf(c_579,plain,
    ~ sP15,
    inference(global_subsumption_just,[status(thm)],[c_458,c_458,c_456]) ).

cnf(c_583,plain,
    ~ sP20,
    inference(global_subsumption_just,[status(thm)],[c_428,c_428,c_425]) ).

cnf(c_587,plain,
    ~ sP25,
    inference(global_subsumption_just,[status(thm)],[c_398,c_398,c_394]) ).

cnf(c_593,plain,
    ~ sP0,
    inference(global_subsumption_just,[status(thm)],[c_358,c_358,c_356]) ).

cnf(c_597,plain,
    ~ sP5,
    inference(global_subsumption_just,[status(thm)],[c_328,c_328,c_325]) ).

cnf(c_601,plain,
    ~ sP10,
    inference(global_subsumption_just,[status(thm)],[c_298,c_298,c_294]) ).

cnf(c_655,plain,
    ( sP16
    | sP17
    | sP18
    | sP19
    | sP26
    | sP27
    | sP28
    | sP29
    | sP24
    | sP23
    | sP22
    | sP21 ),
    inference(global_subsumption_just,[status(thm)],[c_464,c_464,c_459,c_579,c_583,c_587]) ).

cnf(c_656,plain,
    ( sP29
    | sP28
    | sP27
    | sP26
    | sP24
    | sP23
    | sP22
    | sP21
    | sP19
    | sP18
    | sP17
    | sP16 ),
    inference(renaming,[status(thm)],[c_655]) ).

cnf(c_659,plain,
    ( sP1
    | sP2
    | sP3
    | sP4
    | sP11
    | sP12
    | sP13
    | sP14
    | sP9
    | sP8
    | sP7
    | sP6 ),
    inference(global_subsumption_just,[status(thm)],[c_364,c_364,c_359,c_593,c_597,c_601]) ).

cnf(c_660,plain,
    ( sP14
    | sP13
    | sP12
    | sP11
    | sP9
    | sP8
    | sP7
    | sP6
    | sP4
    | sP3
    | sP2
    | sP1 ),
    inference(renaming,[status(thm)],[c_659]) ).

cnf(c_669,plain,
    ( sP16
    | sP17
    | sP18
    | sP19
    | sP26
    | sP27
    | sP28
    | sP29
    | sP24
    | sP23
    | sP22
    | sP21 ),
    inference(global_subsumption_just,[status(thm)],[c_459,c_656]) ).

cnf(c_670,plain,
    ( sP29
    | sP28
    | sP27
    | sP26
    | sP24
    | sP23
    | sP22
    | sP21
    | sP19
    | sP18
    | sP17
    | sP16 ),
    inference(renaming,[status(thm)],[c_669]) ).

cnf(c_677,plain,
    ( sP1
    | sP2
    | sP3
    | sP4
    | sP11
    | sP12
    | sP13
    | sP14
    | sP9
    | sP8
    | sP7
    | sP6 ),
    inference(global_subsumption_just,[status(thm)],[c_359,c_660]) ).

cnf(c_678,plain,
    ( sP14
    | sP13
    | sP12
    | sP11
    | sP9
    | sP8
    | sP7
    | sP6
    | sP4
    | sP3
    | sP2
    | sP1 ),
    inference(renaming,[status(thm)],[c_677]) ).

cnf(c_683,plain,
    op2(e23,e23) = e20,
    inference(global_subsumption_just,[status(thm)],[c_97,c_474]) ).

cnf(c_689,plain,
    op1(e13,e13) = e10,
    inference(global_subsumption_just,[status(thm)],[c_49,c_471]) ).

cnf(c_715,plain,
    ( 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))
    | sP41
    | sP40
    | sP39 ),
    inference(global_subsumption_just,[status(thm)],[c_542,c_490,c_539]) ).

cnf(c_716,negated_conjecture,
    ( op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
    | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
    | op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
    | op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
    | op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
    | op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
    | op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
    | op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
    | op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
    | op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
    | op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
    | op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
    | op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
    | op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
    | op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
    | op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
    | sP41
    | sP40
    | sP39 ),
    inference(renaming,[status(thm)],[c_715]) ).

cnf(c_719,plain,
    ( 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))
    | sP41
    | sP40
    | sP39 ),
    inference(global_subsumption_just,[status(thm)],[c_540,c_716]) ).

cnf(c_720,negated_conjecture,
    ( op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
    | op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
    | op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
    | op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
    | op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
    | op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
    | op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
    | op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
    | op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
    | op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
    | op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
    | op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
    | op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
    | op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
    | op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
    | op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
    | sP41
    | sP40
    | sP39 ),
    inference(renaming,[status(thm)],[c_719]) ).

cnf(c_3071,plain,
    h4(e10) = e20,
    inference(light_normalisation,[status(thm)],[c_489,c_683]) ).

cnf(c_3148,plain,
    ( e20 != e20
    | ~ sP39 ),
    inference(demodulation,[status(thm)],[c_502,c_3071]) ).

cnf(c_3149,plain,
    ~ sP39,
    inference(equality_resolution_simp,[status(thm)],[c_3148]) ).

cnf(c_3170,plain,
    op2(e20,e23) = e22,
    inference(light_normalisation,[status(thm)],[c_472,c_683]) ).

cnf(c_3171,plain,
    op1(e10,e13) = e12,
    inference(light_normalisation,[status(thm)],[c_469,c_689]) ).

cnf(c_3181,plain,
    ( ~ sP17
    | h1(e10) = e22 ),
    inference(light_normalisation,[status(thm)],[c_446,c_477]) ).

cnf(c_3195,plain,
    ( ~ sP18
    | e22 = e20 ),
    inference(light_normalisation,[status(thm)],[c_439,c_3170]) ).

cnf(c_3196,plain,
    ~ sP18,
    inference(forward_subsumption_resolution,[status(thm)],[c_3195,c_251]) ).

cnf(c_3206,plain,
    ( ~ sP21
    | h2(e10) = e22 ),
    inference(light_normalisation,[status(thm)],[c_422,c_481]) ).

cnf(c_3215,plain,
    ( ~ sP22
    | h2(e10) = e23 ),
    inference(light_normalisation,[status(thm)],[c_416,c_481]) ).

cnf(c_3224,plain,
    ( ~ sP23
    | h3(e10) = e20 ),
    inference(light_normalisation,[status(thm)],[c_410,c_485]) ).

cnf(c_3233,plain,
    ( ~ sP24
    | h3(e10) = e21 ),
    inference(light_normalisation,[status(thm)],[c_404,c_485]) ).

cnf(c_3255,plain,
    ( ~ sP28
    | e21 = e20 ),
    inference(light_normalisation,[status(thm)],[c_380,c_683]) ).

cnf(c_3256,plain,
    ~ sP28,
    inference(forward_subsumption_resolution,[status(thm)],[c_3255,c_252]) ).

cnf(c_3257,plain,
    ( ~ sP29
    | e22 = e20 ),
    inference(light_normalisation,[status(thm)],[c_374,c_683]) ).

cnf(c_3258,plain,
    ~ sP29,
    inference(forward_subsumption_resolution,[status(thm)],[c_3257,c_251]) ).

cnf(c_3279,plain,
    ( ~ sP3
    | e12 = e10 ),
    inference(light_normalisation,[status(thm)],[c_339,c_3171]) ).

cnf(c_3280,plain,
    ~ sP3,
    inference(forward_subsumption_resolution,[status(thm)],[c_3279,c_245]) ).

cnf(c_3333,plain,
    ( ~ sP13
    | e11 = e10 ),
    inference(light_normalisation,[status(thm)],[c_280,c_689]) ).

cnf(c_3334,plain,
    ~ sP13,
    inference(forward_subsumption_resolution,[status(thm)],[c_3333,c_246]) ).

cnf(c_3335,plain,
    ( ~ sP14
    | e12 = e10 ),
    inference(light_normalisation,[status(thm)],[c_274,c_689]) ).

cnf(c_3336,plain,
    ~ sP14,
    inference(forward_subsumption_resolution,[status(thm)],[c_3335,c_245]) ).

cnf(c_3337,plain,
    h4(e12) = e22,
    inference(light_normalisation,[status(thm)],[c_487,c_683,c_3170]) ).

cnf(c_3338,plain,
    ( e22 != e22
    | ~ sP41 ),
    inference(demodulation,[status(thm)],[c_492,c_3337]) ).

cnf(c_3340,plain,
    ~ sP41,
    inference(equality_resolution_simp,[status(thm)],[c_3338]) ).

cnf(c_3341,plain,
    op2(h3(e10),e22) = h3(e12),
    inference(light_normalisation,[status(thm)],[c_483,c_485]) ).

cnf(c_3342,plain,
    op2(h2(e10),e21) = h2(e12),
    inference(light_normalisation,[status(thm)],[c_479,c_481]) ).

cnf(c_3343,plain,
    op2(h1(e10),e20) = h1(e12),
    inference(light_normalisation,[status(thm)],[c_475,c_477]) ).

cnf(c_3400,plain,
    ( h3(e10) != e22
    | ~ sP21 ),
    inference(light_normalisation,[status(thm)],[c_418,c_485]) ).

cnf(c_3609,plain,
    op2(e21,e20) != h1(e10),
    inference(light_normalisation,[status(thm)],[c_240,c_477]) ).

cnf(c_3610,plain,
    op2(e22,e20) != h1(e10),
    inference(light_normalisation,[status(thm)],[c_239,c_477]) ).

cnf(c_3611,plain,
    op2(e23,e20) != h1(e10),
    inference(light_normalisation,[status(thm)],[c_238,c_477]) ).

cnf(c_3612,plain,
    op2(e20,e21) != h2(e10),
    inference(light_normalisation,[status(thm)],[c_234,c_481]) ).

cnf(c_3613,plain,
    op2(e22,e21) != h2(e10),
    inference(light_normalisation,[status(thm)],[c_231,c_481]) ).

cnf(c_3614,plain,
    op2(e23,e21) != h2(e10),
    inference(light_normalisation,[status(thm)],[c_230,c_481]) ).

cnf(c_3615,plain,
    op2(e20,e22) != h3(e10),
    inference(light_normalisation,[status(thm)],[c_227,c_485]) ).

cnf(c_3616,plain,
    op2(e21,e22) != h3(e10),
    inference(light_normalisation,[status(thm)],[c_225,c_485]) ).

cnf(c_3617,plain,
    op2(e23,e22) != h3(e10),
    inference(light_normalisation,[status(thm)],[c_223,c_485]) ).

cnf(c_3618,plain,
    op2(e21,e23) != e22,
    inference(light_normalisation,[status(thm)],[c_222,c_3170]) ).

cnf(c_3619,plain,
    op2(e22,e23) != e22,
    inference(light_normalisation,[status(thm)],[c_221,c_3170]) ).

cnf(c_3620,plain,
    ~ sP26,
    inference(backward_subsumption_resolution,[status(thm)],[c_391,c_3619]) ).

cnf(c_3622,plain,
    op2(e21,e23) != e20,
    inference(light_normalisation,[status(thm)],[c_218,c_683]) ).

cnf(c_3623,plain,
    op2(e22,e23) != e20,
    inference(light_normalisation,[status(thm)],[c_217,c_683]) ).

cnf(c_3624,plain,
    op2(e20,e21) != h1(e10),
    inference(light_normalisation,[status(thm)],[c_216,c_477]) ).

cnf(c_3625,plain,
    op2(e20,e22) != h1(e10),
    inference(light_normalisation,[status(thm)],[c_215,c_477]) ).

cnf(c_3626,plain,
    h1(e10) != e22,
    inference(light_normalisation,[status(thm)],[c_214,c_477,c_3170]) ).

cnf(c_3627,plain,
    ~ sP17,
    inference(backward_subsumption_resolution,[status(thm)],[c_3181,c_3626]) ).

cnf(c_3628,plain,
    op2(e20,e21) != e22,
    inference(light_normalisation,[status(thm)],[c_212,c_3170]) ).

cnf(c_3629,plain,
    op2(e20,e22) != e22,
    inference(light_normalisation,[status(thm)],[c_211,c_3170]) ).

cnf(c_3631,plain,
    op2(e21,e22) != h2(e10),
    inference(light_normalisation,[status(thm)],[c_207,c_481]) ).

cnf(c_3632,plain,
    op2(e21,e23) != h2(e10),
    inference(light_normalisation,[status(thm)],[c_206,c_481]) ).

cnf(c_3633,plain,
    op2(e22,e20) != h3(e10),
    inference(light_normalisation,[status(thm)],[c_203,c_485]) ).

cnf(c_3634,plain,
    op2(e22,e21) != h3(e10),
    inference(light_normalisation,[status(thm)],[c_201,c_485]) ).

cnf(c_3635,plain,
    op2(e22,e23) != h3(e10),
    inference(light_normalisation,[status(thm)],[c_199,c_485]) ).

cnf(c_3636,plain,
    op2(e23,e20) != e20,
    inference(light_normalisation,[status(thm)],[c_196,c_683]) ).

cnf(c_3637,plain,
    op2(e23,e21) != e20,
    inference(light_normalisation,[status(thm)],[c_194,c_683]) ).

cnf(c_3638,plain,
    op2(e23,e22) != e20,
    inference(light_normalisation,[status(thm)],[c_193,c_683]) ).

cnf(c_3639,plain,
    op1(e11,e13) != e12,
    inference(light_normalisation,[status(thm)],[c_174,c_3171]) ).

cnf(c_3640,plain,
    op1(e12,e13) != e12,
    inference(light_normalisation,[status(thm)],[c_173,c_3171]) ).

cnf(c_3641,plain,
    ~ sP11,
    inference(backward_subsumption_resolution,[status(thm)],[c_291,c_3640]) ).

cnf(c_3643,plain,
    op1(e11,e13) != e10,
    inference(light_normalisation,[status(thm)],[c_170,c_689]) ).

cnf(c_3644,plain,
    op1(e12,e13) != e10,
    inference(light_normalisation,[status(thm)],[c_169,c_689]) ).

cnf(c_3645,plain,
    op1(e10,e10) != e12,
    inference(light_normalisation,[status(thm)],[c_166,c_3171]) ).

cnf(c_3646,plain,
    ~ sP2,
    inference(backward_subsumption_resolution,[status(thm)],[c_346,c_3645]) ).

cnf(c_3647,plain,
    op1(e10,e11) != e12,
    inference(light_normalisation,[status(thm)],[c_164,c_3171]) ).

cnf(c_3648,plain,
    op1(e10,e12) != e12,
    inference(light_normalisation,[status(thm)],[c_163,c_3171]) ).

cnf(c_3649,plain,
    op1(e13,e10) != e10,
    inference(light_normalisation,[status(thm)],[c_148,c_689]) ).

cnf(c_3651,plain,
    op1(e13,e12) != e10,
    inference(light_normalisation,[status(thm)],[c_145,c_689]) ).

cnf(c_3652,plain,
    h1(e10) = e21,
    inference(light_normalisation,[status(thm)],[c_473,c_683,c_477]) ).

cnf(c_3654,plain,
    op2(e20,e22) != e21,
    inference(demodulation,[status(thm)],[c_3625,c_3652]) ).

cnf(c_3655,plain,
    op2(e20,e21) != e21,
    inference(demodulation,[status(thm)],[c_3624,c_3652]) ).

cnf(c_3656,plain,
    op2(e23,e20) != e21,
    inference(demodulation,[status(thm)],[c_3611,c_3652]) ).

cnf(c_3657,plain,
    op2(e22,e20) != e21,
    inference(demodulation,[status(thm)],[c_3610,c_3652]) ).

cnf(c_3658,plain,
    op2(e21,e20) != e21,
    inference(demodulation,[status(thm)],[c_3609,c_3652]) ).

cnf(c_3662,plain,
    op2(e21,e20) = h1(e12),
    inference(demodulation,[status(thm)],[c_3343,c_3652]) ).

cnf(c_3665,plain,
    op2(e20,e20) = e21,
    inference(demodulation,[status(thm)],[c_477,c_3652]) ).

cnf(c_3667,plain,
    op2(e21,e23) != h1(e12),
    inference(demodulation,[status(thm)],[c_208,c_3662]) ).

cnf(c_3668,plain,
    op2(e21,e22) != h1(e12),
    inference(demodulation,[status(thm)],[c_209,c_3662]) ).

cnf(c_3671,plain,
    op2(e22,e20) != h1(e12),
    inference(demodulation,[status(thm)],[c_237,c_3662]) ).

cnf(c_3672,plain,
    ( h1(e12) != e20
    | ~ sP24 ),
    inference(demodulation,[status(thm)],[c_402,c_3662]) ).

cnf(c_3673,plain,
    ( h1(e12) != e20
    | ~ sP16 ),
    inference(demodulation,[status(thm)],[c_450,c_3662]) ).

cnf(c_3674,plain,
    ( ~ sP19
    | h1(e12) = e21 ),
    inference(demodulation,[status(thm)],[c_433,c_3662]) ).

cnf(c_3687,plain,
    h1(e12) != e21,
    inference(light_normalisation,[status(thm)],[c_3658,c_3662]) ).

cnf(c_3688,plain,
    ~ sP19,
    inference(backward_subsumption_resolution,[status(thm)],[c_3674,c_3687]) ).

cnf(c_3689,plain,
    op1(e10,e10) = e11,
    inference(light_normalisation,[status(thm)],[c_470,c_689]) ).

cnf(c_3691,plain,
    op1(e10,e12) != e11,
    inference(demodulation,[status(thm)],[c_167,c_3689]) ).

cnf(c_3692,plain,
    op1(e10,e11) != e11,
    inference(demodulation,[status(thm)],[c_168,c_3689]) ).

cnf(c_3693,plain,
    op1(e13,e10) != e11,
    inference(demodulation,[status(thm)],[c_190,c_3689]) ).

cnf(c_3695,plain,
    op1(e11,e10) != e11,
    inference(demodulation,[status(thm)],[c_192,c_3689]) ).

cnf(c_3700,plain,
    ~ sP4,
    inference(backward_subsumption_resolution,[status(thm)],[c_333,c_3695]) ).

cnf(c_3701,plain,
    h4(e11) = e21,
    inference(light_normalisation,[status(thm)],[c_488,c_683,c_3665]) ).

cnf(c_3702,plain,
    ( e21 != e21
    | ~ sP40 ),
    inference(demodulation,[status(thm)],[c_497,c_3701]) ).

cnf(c_3703,plain,
    ~ sP40,
    inference(equality_resolution_simp,[status(thm)],[c_3702]) ).

cnf(c_3704,plain,
    op2(h3(e10),h3(e10)) = h3(e11),
    inference(light_normalisation,[status(thm)],[c_484,c_485]) ).

cnf(c_3706,plain,
    h1(e11) = h2(e10),
    inference(light_normalisation,[status(thm)],[c_476,c_481,c_3665]) ).

cnf(c_3709,plain,
    op2(e21,e23) != h1(e11),
    inference(demodulation,[status(thm)],[c_3632,c_3706]) ).

cnf(c_3710,plain,
    op2(e21,e22) != h1(e11),
    inference(demodulation,[status(thm)],[c_3631,c_3706]) ).

cnf(c_3711,plain,
    op2(e23,e21) != h1(e11),
    inference(demodulation,[status(thm)],[c_3614,c_3706]) ).

cnf(c_3712,plain,
    op2(e22,e21) != h1(e11),
    inference(demodulation,[status(thm)],[c_3613,c_3706]) ).

cnf(c_3713,plain,
    op2(e20,e21) != h1(e11),
    inference(demodulation,[status(thm)],[c_3612,c_3706]) ).

cnf(c_3716,plain,
    op2(h1(e11),e21) = h2(e12),
    inference(demodulation,[status(thm)],[c_3342,c_3706]) ).

cnf(c_3717,plain,
    ( ~ sP22
    | h1(e11) = e23 ),
    inference(demodulation,[status(thm)],[c_3215,c_3706]) ).

cnf(c_3718,plain,
    ( ~ sP21
    | h1(e11) = e22 ),
    inference(demodulation,[status(thm)],[c_3206,c_3706]) ).

cnf(c_3721,plain,
    op2(e21,e21) = h1(e11),
    inference(demodulation,[status(thm)],[c_481,c_3706]) ).

cnf(c_3746,plain,
    ( sP12
    | sP9
    | sP8
    | sP7
    | sP6
    | sP1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_678,c_3646,c_3280,c_3700,c_3641,c_3334,c_3336]) ).

cnf(c_3759,plain,
    ( sP27
    | sP24
    | sP23
    | sP22
    | sP21
    | sP16 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_670,c_3627,c_3196,c_3688,c_3620,c_3256,c_3258]) ).

cnf(c_3772,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e21) = e20
    | e22 = e20
    | e21 = e20 ),
    inference(light_normalisation,[status(thm)],[c_144,c_3170,c_3665]) ).

cnf(c_3773,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e21) = e20 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3772,c_252,c_251]) ).

cnf(c_3778,plain,
    ( op2(e23,e20) = e20
    | op2(e22,e20) = e20
    | h1(e12) = e20
    | e21 = e20 ),
    inference(light_normalisation,[status(thm)],[c_143,c_3662,c_3665]) ).

cnf(c_3779,plain,
    ( op2(e22,e20) = e20
    | h1(e12) = e20 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3778,c_252,c_3636]) ).

cnf(c_3784,plain,
    ( op2(e23,e20) = e22
    | op2(e22,e20) = e22
    | h1(e12) = e22
    | e22 = e21 ),
    inference(light_normalisation,[status(thm)],[c_139,c_3662,c_3665]) ).

cnf(c_3785,plain,
    ( op2(e23,e20) = e22
    | op2(e22,e20) = e22
    | h1(e12) = e22 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3784,c_249]) ).

cnf(c_3792,plain,
    ( op2(e20,e22) = e23
    | op2(e20,e21) = e23
    | e23 = e22
    | e23 = e21 ),
    inference(light_normalisation,[status(thm)],[c_138,c_3170,c_3665]) ).

cnf(c_3793,plain,
    ( op2(e20,e22) = e23
    | op2(e20,e21) = e23 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3792,c_248,c_247]) ).

cnf(c_3798,plain,
    ( op2(e23,e20) = e23
    | op2(e22,e20) = e23
    | h1(e12) = e23
    | e23 = e21 ),
    inference(light_normalisation,[status(thm)],[c_137,c_3662,c_3665]) ).

cnf(c_3799,plain,
    ( op2(e23,e20) = e23
    | op2(e22,e20) = e23
    | h1(e12) = e23 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3798,c_248]) ).

cnf(c_3806,plain,
    ( op2(e21,e23) = e20
    | op2(e21,e22) = e20
    | h1(e12) = e20
    | h1(e11) = e20 ),
    inference(light_normalisation,[status(thm)],[c_136,c_3662,c_3721]) ).

cnf(c_3807,plain,
    ( op2(e21,e22) = e20
    | h1(e12) = e20
    | h1(e11) = e20 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3806,c_3622]) ).

cnf(c_3822,plain,
    ( op2(e21,e23) = e21
    | op2(e21,e22) = e21
    | h1(e12) = e21
    | h1(e11) = e21 ),
    inference(light_normalisation,[status(thm)],[c_134,c_3662,c_3721]) ).

cnf(c_3823,plain,
    ( op2(e21,e23) = e21
    | op2(e21,e22) = e21
    | h1(e11) = e21 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3822,c_3687]) ).

cnf(c_3838,plain,
    ( op2(e21,e23) = e22
    | op2(e21,e22) = e22
    | h1(e12) = e22
    | h1(e11) = e22 ),
    inference(light_normalisation,[status(thm)],[c_132,c_3662,c_3721]) ).

cnf(c_3839,plain,
    ( op2(e21,e22) = e22
    | h1(e12) = e22
    | h1(e11) = e22 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3838,c_3618]) ).

cnf(c_3846,plain,
    ( op2(e23,e21) = e22
    | op2(e22,e21) = e22
    | op2(e20,e21) = e22
    | h1(e11) = e22 ),
    inference(light_normalisation,[status(thm)],[c_131,c_3721]) ).

cnf(c_3847,plain,
    ( op2(e23,e21) = e22
    | op2(e22,e21) = e22
    | h1(e11) = e22 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3846,c_3628]) ).

cnf(c_3854,plain,
    ( op2(e21,e23) = e23
    | op2(e21,e22) = e23
    | h1(e12) = e23
    | h1(e11) = e23 ),
    inference(light_normalisation,[status(thm)],[c_130,c_3662,c_3721]) ).

cnf(c_3863,plain,
    ( op2(e23,e21) = e23
    | op2(e22,e21) = e23
    | op2(e20,e21) = e23
    | h1(e11) = e23 ),
    inference(light_normalisation,[status(thm)],[c_129,c_3721]) ).

cnf(c_3872,plain,
    ( op2(e22,e23) = e20
    | op2(e22,e21) = e20
    | op2(e22,e20) = e20
    | h3(e10) = e20 ),
    inference(light_normalisation,[status(thm)],[c_128,c_485]) ).

cnf(c_3873,plain,
    ( op2(e22,e21) = e20
    | op2(e22,e20) = e20
    | h3(e10) = e20 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3872,c_3623]) ).

cnf(c_3880,plain,
    ( op2(e23,e22) = e20
    | op2(e21,e22) = e20
    | op2(e20,e22) = e20
    | h3(e10) = e20 ),
    inference(light_normalisation,[status(thm)],[c_127,c_485]) ).

cnf(c_3881,plain,
    ( op2(e21,e22) = e20
    | op2(e20,e22) = e20
    | h3(e10) = e20 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3880,c_3638]) ).

cnf(c_3888,plain,
    ( op2(e22,e23) = e21
    | op2(e22,e21) = e21
    | op2(e22,e20) = e21
    | h3(e10) = e21 ),
    inference(light_normalisation,[status(thm)],[c_126,c_485]) ).

cnf(c_3889,plain,
    ( op2(e22,e23) = e21
    | op2(e22,e21) = e21
    | h3(e10) = e21 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3888,c_3657]) ).

cnf(c_3896,plain,
    ( op2(e23,e22) = e21
    | op2(e21,e22) = e21
    | op2(e20,e22) = e21
    | h3(e10) = e21 ),
    inference(light_normalisation,[status(thm)],[c_125,c_485]) ).

cnf(c_3897,plain,
    ( op2(e23,e22) = e21
    | op2(e21,e22) = e21
    | h3(e10) = e21 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3896,c_3654]) ).

cnf(c_3904,plain,
    ( op2(e22,e23) = e22
    | op2(e22,e21) = e22
    | op2(e22,e20) = e22
    | h3(e10) = e22 ),
    inference(light_normalisation,[status(thm)],[c_124,c_485]) ).

cnf(c_3905,plain,
    ( op2(e22,e21) = e22
    | op2(e22,e20) = e22
    | h3(e10) = e22 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3904,c_3619]) ).

cnf(c_3912,plain,
    ( op2(e23,e22) = e22
    | op2(e21,e22) = e22
    | op2(e20,e22) = e22
    | h3(e10) = e22 ),
    inference(light_normalisation,[status(thm)],[c_123,c_485]) ).

cnf(c_3913,plain,
    ( op2(e23,e22) = e22
    | op2(e21,e22) = e22
    | h3(e10) = e22 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3912,c_3629]) ).

cnf(c_3920,plain,
    ( op2(e22,e23) = e23
    | op2(e22,e21) = e23
    | op2(e22,e20) = e23
    | h3(e10) = e23 ),
    inference(light_normalisation,[status(thm)],[c_122,c_485]) ).

cnf(c_3929,plain,
    ( op2(e23,e22) = e23
    | op2(e21,e22) = e23
    | op2(e20,e22) = e23
    | h3(e10) = e23 ),
    inference(light_normalisation,[status(thm)],[c_121,c_485]) ).

cnf(c_3938,plain,
    ( op2(e23,e22) = e21
    | op2(e23,e21) = e21
    | op2(e23,e20) = e21
    | e21 = e20 ),
    inference(light_normalisation,[status(thm)],[c_118,c_683]) ).

cnf(c_3939,plain,
    ( op2(e23,e22) = e21
    | op2(e23,e21) = e21 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3938,c_252,c_3656]) ).

cnf(c_3944,plain,
    ( op2(e22,e23) = e21
    | op2(e21,e23) = e21
    | e22 = e21
    | e21 = e20 ),
    inference(light_normalisation,[status(thm)],[c_117,c_683,c_3170]) ).

cnf(c_3945,plain,
    ( op2(e22,e23) = e21
    | op2(e21,e23) = e21 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3944,c_252,c_249]) ).

cnf(c_3966,plain,
    ( op2(e22,e23) = e23
    | op2(e21,e23) = e23
    | e23 = e22
    | e23 = e20 ),
    inference(light_normalisation,[status(thm)],[c_113,c_683,c_3170]) ).

cnf(c_3967,plain,
    ( op2(e22,e23) = e23
    | op2(e21,e23) = e23 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3966,c_250,c_247]) ).

cnf(c_3972,plain,
    ( op2(e20,e21) = e23
    | op2(e20,e21) = e20 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_111,c_3655,c_3628]) ).

cnf(c_3977,plain,
    ( op2(e20,e22) = e23
    | op2(e20,e22) = e20 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_110,c_3654,c_3629]) ).

cnf(c_3982,plain,
    ( h1(e12) = e23
    | h1(e12) = e22
    | h1(e12) = e21
    | h1(e12) = e20 ),
    inference(light_normalisation,[status(thm)],[c_108,c_3662]) ).

cnf(c_3983,plain,
    ( h1(e12) = e23
    | h1(e12) = e22
    | h1(e12) = e20 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3982,c_3687]) ).

cnf(c_4007,plain,
    ( op2(e21,e23) = e23
    | op2(e21,e23) = e21 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_105,c_3622,c_3618]) ).

cnf(c_4012,plain,
    ( op2(e22,e20) = e23
    | op2(e22,e20) = e22
    | op2(e22,e20) = e20 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_104,c_3657]) ).

cnf(c_4027,plain,
    ( h3(e10) = e23
    | h3(e10) = e22
    | h3(e10) = e21
    | h3(e10) = e20 ),
    inference(light_normalisation,[status(thm)],[c_102,c_485]) ).

cnf(c_4036,plain,
    ( op2(e22,e23) = e23
    | op2(e22,e23) = e21 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_101,c_3623,c_3619]) ).

cnf(c_4046,plain,
    ( op2(e23,e21) = e23
    | op2(e23,e21) = e22
    | op2(e23,e21) = e21 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_99,c_3637]) ).

cnf(c_4053,plain,
    ( op2(e23,e22) = e23
    | op2(e23,e22) = e22
    | op2(e23,e22) = e21 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_98,c_3638]) ).

cnf(c_4060,plain,
    ( op1(e10,e12) = e10
    | op1(e10,e11) = e10
    | e12 = e10
    | e11 = e10 ),
    inference(light_normalisation,[status(thm)],[c_96,c_3171,c_3689]) ).

cnf(c_4061,plain,
    ( op1(e10,e12) = e10
    | op1(e10,e11) = e10 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4060,c_246,c_245]) ).

cnf(c_4066,plain,
    ( op1(e13,e10) = e10
    | op1(e12,e10) = e10
    | op1(e11,e10) = e10
    | e11 = e10 ),
    inference(light_normalisation,[status(thm)],[c_95,c_3689]) ).

cnf(c_4067,plain,
    ( op1(e12,e10) = e10
    | op1(e11,e10) = e10 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4066,c_246,c_3649]) ).

cnf(c_4072,plain,
    ( op1(e13,e10) = e12
    | op1(e12,e10) = e12
    | op1(e11,e10) = e12
    | e12 = e11 ),
    inference(light_normalisation,[status(thm)],[c_91,c_3689]) ).

cnf(c_4073,plain,
    ( op1(e13,e10) = e12
    | op1(e12,e10) = e12
    | op1(e11,e10) = e12 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4072,c_243]) ).

cnf(c_4080,plain,
    ( op1(e10,e12) = e13
    | op1(e10,e11) = e13
    | e13 = e12
    | e13 = e11 ),
    inference(light_normalisation,[status(thm)],[c_90,c_3171,c_3689]) ).

cnf(c_4081,plain,
    ( op1(e10,e12) = e13
    | op1(e10,e11) = e13 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4080,c_242,c_241]) ).

cnf(c_4115,plain,
    ( op1(e13,e11) = e11
    | op1(e12,e11) = e11
    | op1(e11,e11) = e11 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_85,c_3692]) ).

cnf(c_4122,plain,
    ( op1(e11,e12) = e12
    | op1(e11,e11) = e12
    | op1(e11,e10) = e12 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_84,c_3639]) ).

cnf(c_4129,plain,
    ( op1(e13,e11) = e12
    | op1(e12,e11) = e12
    | op1(e11,e11) = e12 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_83,c_3647]) ).

cnf(c_4152,plain,
    ( op1(e12,e12) = e10
    | op1(e12,e11) = e10
    | op1(e12,e10) = e10 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_80,c_3644]) ).

cnf(c_4159,plain,
    ( op1(e12,e12) = e10
    | op1(e11,e12) = e10
    | op1(e10,e12) = e10 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_79,c_3651]) ).

cnf(c_4180,plain,
    ( op1(e12,e12) = e12
    | op1(e12,e11) = e12
    | op1(e12,e10) = e12 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_76,c_3640]) ).

cnf(c_4187,plain,
    ( op1(e13,e12) = e12
    | op1(e12,e12) = e12
    | op1(e11,e12) = e12 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_75,c_3648]) ).

cnf(c_4210,plain,
    ( op1(e13,e12) = e11
    | op1(e13,e11) = e11
    | op1(e13,e10) = e11
    | e11 = e10 ),
    inference(light_normalisation,[status(thm)],[c_70,c_689]) ).

cnf(c_4211,plain,
    ( op1(e13,e12) = e11
    | op1(e13,e11) = e11 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4210,c_246,c_3693]) ).

cnf(c_4230,plain,
    ( op1(e13,e12) = e13
    | op1(e13,e11) = e13
    | op1(e13,e10) = e13
    | e13 = e10 ),
    inference(light_normalisation,[status(thm)],[c_66,c_689]) ).

cnf(c_4231,plain,
    ( op1(e13,e12) = e13
    | op1(e13,e11) = e13
    | op1(e13,e10) = e13 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4230,c_244]) ).

cnf(c_4238,plain,
    ( op1(e12,e13) = e13
    | op1(e11,e13) = e13
    | e13 = e12
    | e13 = e10 ),
    inference(light_normalisation,[status(thm)],[c_65,c_689,c_3171]) ).

cnf(c_4239,plain,
    ( op1(e12,e13) = e13
    | op1(e11,e13) = e13 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4238,c_244,c_241]) ).

cnf(c_4244,plain,
    ( op1(e10,e11) = e13
    | op1(e10,e11) = e10 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_63,c_3692,c_3647]) ).

cnf(c_4249,plain,
    ( op1(e10,e12) = e13
    | op1(e10,e12) = e10 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_62,c_3691,c_3648]) ).

cnf(c_4277,plain,
    ( op1(e11,e13) = e13
    | op1(e11,e13) = e11 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_57,c_3643,c_3639]) ).

cnf(c_4305,plain,
    ( op1(e12,e13) = e13
    | op1(e12,e13) = e11 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_53,c_3644,c_3640]) ).

cnf(c_4310,plain,
    ( op1(e13,e10) = e13
    | op1(e13,e10) = e12 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_52,c_3649,c_3693]) ).

cnf(c_4329,plain,
    ( op2(op2(e23,e20),e23) = op2(e23,e20)
    | op2(op2(e22,e20),e22) = op2(e22,e20)
    | op2(h1(e12),e21) = h1(e12)
    | h1(e12) = e21 ),
    inference(light_normalisation,[status(thm)],[c_468,c_3662,c_3665]) ).

cnf(c_4330,plain,
    ( op2(op2(e23,e20),e23) = op2(e23,e20)
    | op2(op2(e22,e20),e22) = op2(e22,e20)
    | op2(h1(e12),e21) = h1(e12) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4329,c_3687]) ).

cnf(c_4337,plain,
    ( op2(op2(e23,e21),e23) = op2(e23,e21)
    | op2(op2(e22,e21),e22) = op2(e22,e21)
    | op2(op2(e20,e21),e20) = op2(e20,e21)
    | h1(e11) = h2(e12) ),
    inference(light_normalisation,[status(thm)],[c_467,c_3716,c_3721]) ).

cnf(c_4346,plain,
    ( op2(op2(e23,e22),e23) = op2(e23,e22)
    | op2(op2(e21,e22),e21) = op2(e21,e22)
    | op2(op2(e20,e22),e20) = op2(e20,e22)
    | h3(e12) = h3(e10) ),
    inference(light_normalisation,[status(thm)],[c_466,c_485,c_3341]) ).

cnf(c_4355,plain,
    ( op2(op2(e22,e23),e22) = op2(e22,e23)
    | op2(op2(e21,e23),e21) = op2(e21,e23)
    | op2(e22,e20) = e22
    | e22 = e20 ),
    inference(light_normalisation,[status(thm)],[c_465,c_683,c_3170]) ).

cnf(c_4356,plain,
    ( op2(op2(e22,e23),e22) = op2(e22,e23)
    | op2(op2(e21,e23),e21) = op2(e21,e23)
    | op2(e22,e20) = e22 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4355,c_251]) ).

cnf(c_4363,plain,
    ( op1(op1(e13,e10),e13) = op1(e13,e10)
    | op1(op1(e12,e10),e12) = op1(e12,e10)
    | op1(op1(e11,e10),e11) = op1(e11,e10)
    | op1(e11,e10) = e11 ),
    inference(light_normalisation,[status(thm)],[c_368,c_3689]) ).

cnf(c_4364,plain,
    ( op1(op1(e13,e10),e13) = op1(e13,e10)
    | op1(op1(e12,e10),e12) = op1(e12,e10)
    | op1(op1(e11,e10),e11) = op1(e11,e10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4363,c_3695]) ).

cnf(c_4387,plain,
    ( op1(op1(e12,e13),e12) = op1(e12,e13)
    | op1(op1(e11,e13),e11) = op1(e11,e13)
    | op1(e12,e10) = e12
    | e12 = e10 ),
    inference(light_normalisation,[status(thm)],[c_365,c_689,c_3171]) ).

cnf(c_4388,plain,
    ( op1(op1(e12,e13),e12) = op1(e12,e13)
    | op1(op1(e11,e13),e11) = op1(e11,e13)
    | op1(e12,e10) = e12 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4387,c_245]) ).

cnf(c_4395,plain,
    ( h4(op1(e13,e12)) != op2(e23,e22)
    | h4(op1(e13,e11)) != op2(e23,e21)
    | h4(op1(e13,e10)) != op2(e23,e20)
    | h4(op1(e12,e13)) != op2(e22,e23)
    | h4(op1(e12,e12)) != h3(e10)
    | h4(op1(e12,e11)) != op2(e22,e21)
    | h4(op1(e12,e10)) != op2(e22,e20)
    | h4(op1(e11,e13)) != op2(e21,e23)
    | h4(op1(e11,e12)) != op2(e21,e22)
    | h4(op1(e11,e11)) != h1(e11)
    | h4(op1(e11,e10)) != h1(e12)
    | h4(op1(e10,e12)) != op2(e20,e22)
    | h4(op1(e10,e11)) != op2(e20,e21)
    | e22 != e22
    | e21 != e21
    | e20 != e20
    | sP41
    | sP40
    | sP39 ),
    inference(light_normalisation,[status(thm)],[c_720,c_689,c_683,c_485,c_490,c_3071,c_3170,c_3171,c_3337,c_3662,c_3665,c_3689,c_3701,c_3721]) ).

cnf(c_4396,plain,
    ( h4(op1(e13,e12)) != op2(e23,e22)
    | h4(op1(e13,e11)) != op2(e23,e21)
    | h4(op1(e13,e10)) != op2(e23,e20)
    | h4(op1(e12,e13)) != op2(e22,e23)
    | h4(op1(e12,e12)) != h3(e10)
    | h4(op1(e12,e11)) != op2(e22,e21)
    | h4(op1(e12,e10)) != op2(e22,e20)
    | h4(op1(e11,e13)) != op2(e21,e23)
    | h4(op1(e11,e12)) != op2(e21,e22)
    | h4(op1(e11,e11)) != h1(e11)
    | h4(op1(e11,e10)) != h1(e12)
    | h4(op1(e10,e12)) != op2(e20,e22)
    | h4(op1(e10,e11)) != op2(e20,e21)
    | sP41
    | sP40
    | sP39 ),
    inference(equality_resolution_simp,[status(thm)],[c_4395]) ).

cnf(c_4397,plain,
    ( h4(op1(e13,e12)) != op2(e23,e22)
    | h4(op1(e13,e11)) != op2(e23,e21)
    | h4(op1(e13,e10)) != op2(e23,e20)
    | h4(op1(e12,e13)) != op2(e22,e23)
    | h4(op1(e12,e12)) != h3(e10)
    | h4(op1(e12,e11)) != op2(e22,e21)
    | h4(op1(e12,e10)) != op2(e22,e20)
    | h4(op1(e11,e13)) != op2(e21,e23)
    | h4(op1(e11,e12)) != op2(e21,e22)
    | h4(op1(e11,e11)) != h1(e11)
    | h4(op1(e11,e10)) != h1(e12)
    | h4(op1(e10,e12)) != op2(e20,e22)
    | h4(op1(e10,e11)) != op2(e20,e21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4396,c_3149,c_3703,c_3340]) ).

cnf(c_4710,plain,
    ( op1(e13,e10) = e13
    | sP9
    | sP8
    | sP7
    | sP6
    | sP1 ),
    inference(resolution,[status(thm)],[c_3746,c_285]) ).

cnf(c_4735,plain,
    ( op2(e23,e20) = e23
    | sP24
    | sP23
    | sP22
    | sP21
    | sP16 ),
    inference(resolution,[status(thm)],[c_3759,c_385]) ).

cnf(c_14655,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_4735,c_4710,c_4397,c_4388,c_4364,c_4356,c_4346,c_4337,c_4330,c_4310,c_4305,c_4277,c_4249,c_4244,c_4239,c_4231,c_4211,c_4187,c_4180,c_4159,c_4152,c_4129,c_4122,c_4115,c_4081,c_4073,c_4067,c_4061,c_4053,c_4046,c_4036,c_4027,c_4012,c_4007,c_3983,c_3977,c_3972,c_3967,c_3945,c_3939,c_3929,c_3920,c_3913,c_3905,c_3897,c_3889,c_3881,c_3873,c_3863,c_3854,c_3847,c_3839,c_3823,c_3807,c_3799,c_3793,c_3785,c_3779,c_3773,c_3721,c_3718,c_3717,c_3716,c_3713,c_3712,c_3711,c_3710,c_3709,c_3704,c_3701,c_3689,c_3673,c_3672,c_3671,c_3668,c_3667,c_3665,c_3655,c_3654,c_3635,c_3634,c_3633,c_3629,c_3628,c_3619,c_3617,c_3616,c_3615,c_3400,c_3341,c_3337,c_3233,c_3224,c_3071,c_490,c_485,c_474,c_471,c_451,c_421,c_415,c_413,c_409,c_400,c_367,c_366,c_351,c_347,c_321,c_318,c_316,c_310,c_309,c_304,c_300,c_252,c_251,c_250,c_249,c_248,c_247,c_246,c_245,c_244,c_243,c_242,c_241,c_235,c_232,c_229,c_228,c_219,c_213,c_205,c_204,c_202,c_198,c_197,c_195,c_189,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_176,c_175,c_165,c_161,c_159,c_158,c_157,c_156,c_155,c_152,c_151,c_150,c_149,c_106,c_81,c_73,c_59,c_55]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : ALG108+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 22:22:51 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.21/1.68  % SZS status Started for theBenchmark.p
% 6.21/1.68  % SZS status Theorem for theBenchmark.p
% 6.21/1.68  
% 6.21/1.68  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 6.21/1.68  
% 6.21/1.68  ------  iProver source info
% 6.21/1.68  
% 6.21/1.68  git: date: 2024-05-02 19:28:25 +0000
% 6.21/1.68  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 6.21/1.68  git: non_committed_changes: false
% 6.21/1.68  
% 6.21/1.68  ------ Parsing...
% 6.21/1.68  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 6.21/1.68  
% 6.21/1.68  ------ Preprocessing... sup_sim: 316  sf_s  rm: 25 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 6.21/1.68  
% 6.21/1.68  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 6.21/1.68  
% 6.21/1.68  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 6.21/1.68  ------ Proving...
% 6.21/1.68  ------ Problem Properties 
% 6.21/1.68  
% 6.21/1.68  
% 6.21/1.68  clauses                                 299
% 6.21/1.68  conjectures                             0
% 6.21/1.68  EPR                                     28
% 6.21/1.68  Horn                                    205
% 6.21/1.68  unary                                   142
% 6.21/1.68  binary                                  82
% 6.21/1.68  lits                                    669
% 6.21/1.68  lits eq                                 585
% 6.21/1.68  fd_pure                                 0
% 6.21/1.68  fd_pseudo                               0
% 6.21/1.68  fd_cond                                 0
% 6.21/1.68  fd_pseudo_cond                          0
% 6.21/1.68  AC symbols                              0
% 6.21/1.68  
% 6.21/1.68  ------ Schedule dynamic 5 is on 
% 6.21/1.68  
% 6.21/1.68  ------ no conjectures: strip conj schedule 
% 6.21/1.68  
% 6.21/1.68  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 6.21/1.68  
% 6.21/1.68  
% 6.21/1.68  ------ 
% 6.21/1.68  Current options:
% 6.21/1.68  ------ 
% 6.21/1.68  
% 6.21/1.68  
% 6.21/1.68  
% 6.21/1.68  
% 6.21/1.68  ------ Proving...
% 6.21/1.68  
% 6.21/1.68  
% 6.21/1.68  % SZS status Theorem for theBenchmark.p
% 6.21/1.68  
% 6.21/1.68  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.21/1.69  
% 6.21/1.69  
%------------------------------------------------------------------------------