TSTP Solution File: ALG120+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ALG120+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 02:03:48 EDT 2024

% Result   : Theorem 6.14s 1.67s
% Output   : CNFRefutation 6.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   59
% Syntax   : Number of formulae    :  509 ( 177 unt;   0 def)
%            Number of atoms       : 3130 (2692 equ)
%            Maximal formula atoms :  176 (   6 avg)
%            Number of connectives : 3925 (1304   ~;1612   |;1009   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   5 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ax6) ).

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

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

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

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

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

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

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

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

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

fof(f17,axiom,
    ( op2(e23,e23) = h4(e13)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e10) = op2(op2(e23,e23),e23)
    & e23 = h4(e12) ),
    file('/export/starexec/sandbox/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/sandbox/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,op1(e10,e13))
      & e12 != op1(e10,op1(e10,e12))
      & e11 != op1(e10,op1(e10,e11))
      & e10 != op1(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(e10,op1(e10,e13))
      & e12 != op1(e10,op1(e10,e12))
      & e11 != op1(e10,op1(e10,e11))
      & e10 != op1(e10,op1(e10,e10))
      & e10 = op1(e11,e10)
      & e10 = op1(e10,e11) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

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

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

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

fof(f26,plain,
    ( ( e13 != op1(e11,op1(e11,e13))
      & e12 != op1(e11,op1(e11,e12))
      & e11 != op1(e11,op1(e11,e11))
      & e10 != op1(e11,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(e11,op1(e11,e13))
      & e12 != op1(e11,op1(e11,e12))
      & e11 != op1(e11,op1(e11,e11))
      & e10 != op1(e11,op1(e11,e10))
      & e11 = op1(e12,e11)
      & e11 = op1(e11,e12) )
    | ~ sP6 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

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

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

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

fof(f31,plain,
    ( ( e13 != op1(e12,op1(e12,e13))
      & e12 != op1(e12,op1(e12,e12))
      & e11 != op1(e12,op1(e12,e11))
      & e10 != op1(e12,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(e12,op1(e12,e13))
      & e12 != op1(e12,op1(e12,e12))
      & e11 != op1(e12,op1(e12,e11))
      & e10 != op1(e12,op1(e12,e10))
      & e12 = op1(e13,e12)
      & e12 = op1(e12,e13) )
    | ~ sP11 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

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

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

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

fof(f36,plain,
    ( ( ( e13 != op1(e13,op1(e13,e13))
        & e12 != op1(e13,op1(e13,e12))
        & e11 != op1(e13,op1(e13,e11))
        & e10 != op1(e13,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 )
    & ( e13 = op1(e13,e13)
      | e13 = op1(e12,e12)
      | e13 = op1(e11,e11)
      | op1(e10,e10) = e13
      | e13 != op1(e13,e13) )
    & ( e12 = op1(e13,e13)
      | e12 = op1(e12,e12)
      | e12 = op1(e11,e11)
      | op1(e10,e10) = e12
      | e13 != op1(e13,e12) )
    & ( e11 = op1(e13,e13)
      | e11 = op1(e12,e12)
      | e11 = op1(e11,e11)
      | op1(e10,e10) = e11
      | e13 != op1(e13,e11) )
    & ( e10 = op1(e13,e13)
      | e10 = op1(e12,e12)
      | e10 = op1(e11,e11)
      | e10 = op1(e10,e10)
      | e13 != op1(e13,e10) )
    & ( e13 = op1(e13,e13)
      | e13 = op1(e12,e12)
      | e13 = op1(e11,e11)
      | op1(e10,e10) = e13
      | e12 != op1(e12,e13) )
    & ( e12 = op1(e13,e13)
      | e12 = op1(e12,e12)
      | e12 = op1(e11,e11)
      | op1(e10,e10) = e12
      | e12 != op1(e12,e12) )
    & ( e11 = op1(e13,e13)
      | e11 = op1(e12,e12)
      | e11 = op1(e11,e11)
      | op1(e10,e10) = e11
      | e12 != op1(e12,e11) )
    & ( e10 = op1(e13,e13)
      | e10 = op1(e12,e12)
      | e10 = op1(e11,e11)
      | e10 = op1(e10,e10)
      | e12 != op1(e12,e10) )
    & ( e13 = op1(e13,e13)
      | e13 = op1(e12,e12)
      | e13 = op1(e11,e11)
      | op1(e10,e10) = e13
      | e11 != op1(e11,e13) )
    & ( e12 = op1(e13,e13)
      | e12 = op1(e12,e12)
      | e12 = op1(e11,e11)
      | op1(e10,e10) = e12
      | e11 != op1(e11,e12) )
    & ( e11 = op1(e13,e13)
      | e11 = op1(e12,e12)
      | e11 = op1(e11,e11)
      | op1(e10,e10) = e11
      | e11 != op1(e11,e11) )
    & ( e10 = op1(e13,e13)
      | e10 = op1(e12,e12)
      | e10 = op1(e11,e11)
      | e10 = op1(e10,e10)
      | e11 != op1(e11,e10) )
    & ( e13 = op1(e13,e13)
      | e13 = op1(e12,e12)
      | e13 = op1(e11,e11)
      | op1(e10,e10) = e13
      | e10 != op1(e10,e13) )
    & ( e12 = op1(e13,e13)
      | e12 = op1(e12,e12)
      | e12 = op1(e11,e11)
      | op1(e10,e10) = e12
      | e10 != op1(e10,e12) )
    & ( e11 = op1(e13,e13)
      | e11 = op1(e12,e12)
      | e11 = op1(e11,e11)
      | op1(e10,e10) = e11
      | e10 != op1(e10,e11) )
    & ( e10 = op1(e13,e13)
      | e10 = op1(e12,e12)
      | e10 = op1(e11,e11)
      | e10 = op1(e10,e10)
      | e10 != op1(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,op2(e20,e23))
      & e22 != op2(e20,op2(e20,e22))
      & e21 != op2(e20,op2(e20,e21))
      & e20 != op2(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(e20,op2(e20,e23))
      & e22 != op2(e20,op2(e20,e22))
      & e21 != op2(e20,op2(e20,e21))
      & e20 != op2(e20,op2(e20,e20))
      & e20 = op2(e21,e20)
      & e20 = op2(e20,e21) )
    | ~ sP16 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).

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

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

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

fof(f42,plain,
    ( ( e23 != op2(e21,op2(e21,e23))
      & e22 != op2(e21,op2(e21,e22))
      & e21 != op2(e21,op2(e21,e21))
      & e20 != op2(e21,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(e21,op2(e21,e23))
      & e22 != op2(e21,op2(e21,e22))
      & e21 != op2(e21,op2(e21,e21))
      & e20 != op2(e21,op2(e21,e20))
      & e21 = op2(e22,e21)
      & e21 = op2(e21,e22) )
    | ~ sP21 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).

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

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

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

fof(f47,plain,
    ( ( e23 != op2(e22,op2(e22,e23))
      & e22 != op2(e22,op2(e22,e22))
      & e21 != op2(e22,op2(e22,e21))
      & e20 != op2(e22,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(e22,op2(e22,e23))
      & e22 != op2(e22,op2(e22,e22))
      & e21 != op2(e22,op2(e22,e21))
      & e20 != op2(e22,op2(e22,e20))
      & e22 = op2(e23,e22)
      & e22 = op2(e22,e23) )
    | ~ sP26 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).

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

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

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

fof(f52,plain,
    ( ( ( e23 != op2(e23,op2(e23,e23))
        & e22 != op2(e23,op2(e23,e22))
        & e21 != op2(e23,op2(e23,e21))
        & e20 != op2(e23,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 )
    & ( e23 = op2(e23,e23)
      | e23 = op2(e22,e22)
      | e23 = op2(e21,e21)
      | op2(e20,e20) = e23
      | e23 != op2(e23,e23) )
    & ( e22 = op2(e23,e23)
      | e22 = op2(e22,e22)
      | e22 = op2(e21,e21)
      | op2(e20,e20) = e22
      | e23 != op2(e23,e22) )
    & ( e21 = op2(e23,e23)
      | e21 = op2(e22,e22)
      | e21 = op2(e21,e21)
      | op2(e20,e20) = e21
      | e23 != op2(e23,e21) )
    & ( e20 = op2(e23,e23)
      | e20 = op2(e22,e22)
      | e20 = op2(e21,e21)
      | e20 = op2(e20,e20)
      | e23 != op2(e23,e20) )
    & ( e23 = op2(e23,e23)
      | e23 = op2(e22,e22)
      | e23 = op2(e21,e21)
      | op2(e20,e20) = e23
      | e22 != op2(e22,e23) )
    & ( e22 = op2(e23,e23)
      | e22 = op2(e22,e22)
      | e22 = op2(e21,e21)
      | op2(e20,e20) = e22
      | e22 != op2(e22,e22) )
    & ( e21 = op2(e23,e23)
      | e21 = op2(e22,e22)
      | e21 = op2(e21,e21)
      | op2(e20,e20) = e21
      | e22 != op2(e22,e21) )
    & ( e20 = op2(e23,e23)
      | e20 = op2(e22,e22)
      | e20 = op2(e21,e21)
      | e20 = op2(e20,e20)
      | e22 != op2(e22,e20) )
    & ( e23 = op2(e23,e23)
      | e23 = op2(e22,e22)
      | e23 = op2(e21,e21)
      | op2(e20,e20) = e23
      | e21 != op2(e21,e23) )
    & ( e22 = op2(e23,e23)
      | e22 = op2(e22,e22)
      | e22 = op2(e21,e21)
      | op2(e20,e20) = e22
      | e21 != op2(e21,e22) )
    & ( e21 = op2(e23,e23)
      | e21 = op2(e22,e22)
      | e21 = op2(e21,e21)
      | op2(e20,e20) = e21
      | e21 != op2(e21,e21) )
    & ( e20 = op2(e23,e23)
      | e20 = op2(e22,e22)
      | e20 = op2(e21,e21)
      | e20 = op2(e20,e20)
      | e21 != op2(e21,e20) )
    & ( e23 = op2(e23,e23)
      | e23 = op2(e22,e22)
      | e23 = op2(e21,e21)
      | op2(e20,e20) = e23
      | e20 != op2(e20,e23) )
    & ( e22 = op2(e23,e23)
      | e22 = op2(e22,e22)
      | e22 = op2(e21,e21)
      | op2(e20,e20) = e22
      | e20 != op2(e20,e22) )
    & ( e21 = op2(e23,e23)
      | e21 = op2(e22,e22)
      | e21 = op2(e21,e21)
      | op2(e20,e20) = e21
      | e20 != op2(e20,e21) )
    & ( e20 = op2(e23,e23)
      | e20 = op2(e22,e22)
      | e20 = op2(e21,e21)
      | e20 = op2(e20,e20)
      | e20 != op2(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(e13,op1(e13,e13))
      & e12 != op1(e13,op1(e13,e12))
      & e11 != op1(e13,op1(e13,e11))
      & e10 != op1(e13,op1(e13,e10))
      & e13 = op1(e12,e13)
      & e13 = op1(e13,e12) )
    | ~ sP14 ),
    inference(nnf_transformation,[],[f35]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f99,plain,
    ( ( e22 != h3(e13)
      & e22 != h3(e12)
      & e22 != h3(e11)
      & e22 != h3(e10) )
    | ~ sP38 ),
    inference(nnf_transformation,[],[f61]) ).

fof(f100,plain,
    ( ( e21 != h3(e13)
      & e21 != h3(e12)
      & e21 != h3(e11)
      & e21 != h3(e10) )
    | ~ sP37 ),
    inference(nnf_transformation,[],[f60]) ).

fof(f101,plain,
    ( ( e20 != h3(e13)
      & e20 != h3(e12)
      & e20 != h3(e11)
      & e20 != h3(e10) )
    | ~ sP36 ),
    inference(nnf_transformation,[],[f59]) ).

fof(f108,plain,
    ( op1(e10,e10) = e13
    | op1(e10,e10) = e12
    | op1(e10,e10) = e11
    | e10 = op1(e10,e10) ),
    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(f114,plain,
    ( e13 = op1(e11,e12)
    | e12 = op1(e11,e12)
    | e11 = op1(e11,e12)
    | e10 = op1(e11,e12) ),
    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(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(f121,plain,
    ( e13 = op1(e13,e11)
    | e12 = op1(e13,e11)
    | e11 = op1(e13,e11)
    | e10 = op1(e13,e11) ),
    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(f127,plain,
    ( e11 = op1(e13,e10)
    | e11 = op1(e12,e10)
    | e11 = op1(e11,e10)
    | op1(e10,e10) = e11 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f128,plain,
    ( e12 = op1(e10,e13)
    | e12 = op1(e10,e12)
    | e12 = op1(e10,e11)
    | op1(e10,e10) = e12 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f132,plain,
    ( e10 = op1(e11,e13)
    | e10 = op1(e11,e12)
    | e10 = op1(e11,e11)
    | e10 = op1(e11,e10) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f134,plain,
    ( e11 = op1(e11,e13)
    | e11 = op1(e11,e12)
    | e11 = op1(e11,e11)
    | e11 = op1(e11,e10) ),
    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(f143,plain,
    ( e11 = op1(e13,e12)
    | e11 = op1(e12,e12)
    | e11 = op1(e11,e12)
    | e11 = 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(f152,plain,
    ( e12 = op1(e13,e13)
    | e12 = op1(e13,e12)
    | e12 = op1(e13,e11)
    | e12 = op1(e13,e10) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f153,plain,
    ( e12 = op1(e13,e13)
    | e12 = op1(e12,e13)
    | e12 = op1(e11,e13)
    | e12 = op1(e10,e13) ),
    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(f158,plain,
    ( e23 = op2(e20,e22)
    | e22 = op2(e20,e22)
    | e21 = op2(e20,e22)
    | e20 = op2(e20,e22) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f159,plain,
    ( e23 = op2(e20,e23)
    | e22 = op2(e20,e23)
    | e21 = op2(e20,e23)
    | e20 = op2(e20,e23) ),
    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(f164,plain,
    ( e23 = op2(e22,e20)
    | e22 = op2(e22,e20)
    | e21 = op2(e22,e20)
    | e20 = op2(e22,e20) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f168,plain,
    ( e23 = op2(e23,e20)
    | e22 = op2(e23,e20)
    | e21 = op2(e23,e20)
    | e20 = op2(e23,e20) ),
    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(f172,plain,
    ( e20 = op2(e20,e23)
    | e20 = op2(e20,e22)
    | e20 = op2(e20,e21)
    | e20 = op2(e20,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f176,plain,
    ( e22 = op2(e20,e23)
    | e22 = op2(e20,e22)
    | e22 = op2(e20,e21)
    | 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(f183,plain,
    ( e21 = op2(e23,e21)
    | e21 = op2(e22,e21)
    | e21 = op2(e21,e21)
    | e21 = 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(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(f197,plain,
    ( e20 = op2(e23,e23)
    | e20 = op2(e22,e23)
    | e20 = op2(e21,e23)
    | e20 = op2(e20,e23) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f200,plain,
    ( e22 = op2(e23,e23)
    | e22 = op2(e23,e22)
    | e22 = op2(e23,e21)
    | e22 = op2(e23,e20) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f201,plain,
    ( e22 = op2(e23,e23)
    | e22 = op2(e22,e23)
    | e22 = op2(e21,e23)
    | e22 = op2(e20,e23) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f202,plain,
    ( e23 = op2(e23,e23)
    | e23 = op2(e23,e22)
    | e23 = op2(e23,e21)
    | e23 = op2(e23,e20) ),
    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(f208,plain,
    op1(e11,e10) != op1(e13,e10),
    inference(cnf_transformation,[],[f5]) ).

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

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

fof(f214,plain,
    op1(e11,e11) != op1(e13,e11),
    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(f219,plain,
    op1(e11,e12) != op1(e12,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(f223,plain,
    op1(e10,e13) != op1(e12,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f225,plain,
    op1(e11,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(f229,plain,
    op1(e10,e10) != op1(e10,e12),
    inference(cnf_transformation,[],[f5]) ).

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

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

fof(f234,plain,
    op1(e11,e10) != op1(e11,e11),
    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(f242,plain,
    op1(e12,e10) != op1(e12,e13),
    inference(cnf_transformation,[],[f5]) ).

fof(f245,plain,
    op1(e12,e12) != op1(e12,e13),
    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(f249,plain,
    op1(e13,e11) != op1(e13,e12),
    inference(cnf_transformation,[],[f5]) ).

fof(f250,plain,
    op1(e13,e11) != 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(f254,plain,
    op2(e20,e20) != op2(e23,e20),
    inference(cnf_transformation,[],[f6]) ).

fof(f256,plain,
    op2(e21,e20) != op2(e23,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(f259,plain,
    op2(e20,e21) != op2(e22,e21),
    inference(cnf_transformation,[],[f6]) ).

fof(f260,plain,
    op2(e20,e21) != op2(e23,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(f266,plain,
    op2(e20,e22) != op2(e23,e22),
    inference(cnf_transformation,[],[f6]) ).

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

fof(f268,plain,
    op2(e21,e22) != op2(e23,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(f272,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(cnf_transformation,[],[f6]) ).

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

fof(f278,plain,
    op2(e20,e20) != op2(e20,e23),
    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(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,
    ( e13 = op1(e13,e12)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f66]) ).

fof(f329,plain,
    ( e13 = op1(e12,e13)
    | ~ sP14 ),
    inference(cnf_transformation,[],[f66]) ).

fof(f333,plain,
    ( e13 != op1(e13,op1(e13,e13))
    | ~ sP14 ),
    inference(cnf_transformation,[],[f66]) ).

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

fof(f339,plain,
    ( e13 != op1(e13,op1(e13,e13))
    | ~ sP13 ),
    inference(cnf_transformation,[],[f67]) ).

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

fof(f345,plain,
    ( e13 != op1(e13,op1(e13,e13))
    | ~ sP12 ),
    inference(cnf_transformation,[],[f68]) ).

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

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

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

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

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

fof(f368,plain,
    ( e12 != op1(e12,op1(e12,e12))
    | ~ sP8 ),
    inference(cnf_transformation,[],[f72]) ).

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

fof(f376,plain,
    ( e11 = op1(e11,e12)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f74]) ).

fof(f380,plain,
    ( e12 != op1(e11,op1(e11,e12))
    | ~ sP6 ),
    inference(cnf_transformation,[],[f74]) ).

fof(f386,plain,
    ( e12 != op1(e11,op1(e11,e12))
    | ~ sP5 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f392,plain,
    ( e12 != op1(e11,op1(e11,e12))
    | ~ sP4 ),
    inference(cnf_transformation,[],[f76]) ).

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

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

fof(f406,plain,
    ( e10 = op1(e10,e11)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f79]) ).

fof(f408,plain,
    ( e10 != op1(e10,op1(e10,e10))
    | ~ sP1 ),
    inference(cnf_transformation,[],[f79]) ).

fof(f410,plain,
    ( e12 != op1(e10,op1(e10,e12))
    | ~ sP1 ),
    inference(cnf_transformation,[],[f79]) ).

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

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

fof(f416,plain,
    ( e12 != op1(e10,op1(e10,e12))
    | ~ sP0 ),
    inference(cnf_transformation,[],[f80]) ).

fof(f424,plain,
    ( e12 = op1(e13,e13)
    | e12 = op1(e12,e12)
    | e12 = op1(e11,e11)
    | op1(e10,e10) = e12
    | e11 != op1(e11,e12) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f426,plain,
    ( e10 = op1(e13,e13)
    | e10 = op1(e12,e12)
    | e10 = op1(e11,e11)
    | e10 = op1(e10,e10)
    | e12 != op1(e12,e10) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f430,plain,
    ( e10 = op1(e13,e13)
    | e10 = op1(e12,e12)
    | e10 = op1(e11,e11)
    | e10 = op1(e10,e10)
    | e13 != op1(e13,e10) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f435,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(f439,plain,
    ( e13 != op1(e13,op1(e13,e13))
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f441,plain,
    ( e23 = op2(e22,e23)
    | ~ sP29 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f445,plain,
    ( e23 != op2(e23,op2(e23,e23))
    | ~ sP29 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f446,plain,
    ( e23 = op2(e23,e21)
    | ~ sP28 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f447,plain,
    ( e23 = op2(e21,e23)
    | ~ sP28 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f451,plain,
    ( e23 != op2(e23,op2(e23,e23))
    | ~ sP28 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f453,plain,
    ( e23 = op2(e20,e23)
    | ~ sP27 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f456,plain,
    ( e22 != op2(e23,op2(e23,e22))
    | ~ sP27 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f457,plain,
    ( e23 != op2(e23,op2(e23,e23))
    | ~ sP27 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f459,plain,
    ( e22 = op2(e23,e22)
    | ~ sP26 ),
    inference(cnf_transformation,[],[f84]) ).

fof(f464,plain,
    ( e22 = op2(e22,e22)
    | ~ sP25 ),
    inference(cnf_transformation,[],[f85]) ).

fof(f470,plain,
    ( e22 = op2(e22,e21)
    | ~ sP24 ),
    inference(cnf_transformation,[],[f86]) ).

fof(f471,plain,
    ( e22 = op2(e21,e22)
    | ~ sP24 ),
    inference(cnf_transformation,[],[f86]) ).

fof(f474,plain,
    ( e22 != op2(e22,op2(e22,e22))
    | ~ sP24 ),
    inference(cnf_transformation,[],[f86]) ).

fof(f476,plain,
    ( e22 = op2(e22,e20)
    | ~ sP23 ),
    inference(cnf_transformation,[],[f87]) ).

fof(f477,plain,
    ( e22 = op2(e20,e22)
    | ~ sP23 ),
    inference(cnf_transformation,[],[f87]) ).

fof(f480,plain,
    ( e22 != op2(e22,op2(e22,e22))
    | ~ sP23 ),
    inference(cnf_transformation,[],[f87]) ).

fof(f482,plain,
    ( e21 = op2(e21,e23)
    | ~ sP22 ),
    inference(cnf_transformation,[],[f88]) ).

fof(f488,plain,
    ( e21 = op2(e21,e22)
    | ~ sP21 ),
    inference(cnf_transformation,[],[f89]) ).

fof(f492,plain,
    ( e22 != op2(e21,op2(e21,e22))
    | ~ sP21 ),
    inference(cnf_transformation,[],[f89]) ).

fof(f493,plain,
    ( e23 != op2(e21,op2(e21,e23))
    | ~ sP21 ),
    inference(cnf_transformation,[],[f89]) ).

fof(f498,plain,
    ( e22 != op2(e21,op2(e21,e22))
    | ~ sP20 ),
    inference(cnf_transformation,[],[f90]) ).

fof(f499,plain,
    ( e23 != op2(e21,op2(e21,e23))
    | ~ sP20 ),
    inference(cnf_transformation,[],[f90]) ).

fof(f500,plain,
    ( e21 = op2(e21,e20)
    | ~ sP19 ),
    inference(cnf_transformation,[],[f91]) ).

fof(f501,plain,
    ( e21 = op2(e20,e21)
    | ~ sP19 ),
    inference(cnf_transformation,[],[f91]) ).

fof(f505,plain,
    ( e23 != op2(e21,op2(e21,e23))
    | ~ sP19 ),
    inference(cnf_transformation,[],[f91]) ).

fof(f507,plain,
    ( e20 = op2(e23,e20)
    | ~ sP18 ),
    inference(cnf_transformation,[],[f92]) ).

fof(f512,plain,
    ( e20 = op2(e20,e22)
    | ~ sP17 ),
    inference(cnf_transformation,[],[f93]) ).

fof(f518,plain,
    ( e20 = op2(e20,e21)
    | ~ sP16 ),
    inference(cnf_transformation,[],[f94]) ).

fof(f520,plain,
    ( e20 != op2(e20,op2(e20,e20))
    | ~ sP16 ),
    inference(cnf_transformation,[],[f94]) ).

fof(f523,plain,
    ( e23 != op2(e20,op2(e20,e23))
    | ~ sP16 ),
    inference(cnf_transformation,[],[f94]) ).

fof(f524,plain,
    ( e20 = op2(e20,e20)
    | ~ sP15 ),
    inference(cnf_transformation,[],[f95]) ).

fof(f526,plain,
    ( e20 != op2(e20,op2(e20,e20))
    | ~ sP15 ),
    inference(cnf_transformation,[],[f95]) ).

fof(f529,plain,
    ( e23 != op2(e20,op2(e20,e23))
    | ~ sP15 ),
    inference(cnf_transformation,[],[f95]) ).

fof(f536,plain,
    ( e22 = op2(e23,e23)
    | e22 = op2(e22,e22)
    | e22 = op2(e21,e21)
    | op2(e20,e20) = e22
    | e21 != op2(e21,e22) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f542,plain,
    ( e20 = op2(e23,e23)
    | e20 = op2(e22,e22)
    | e20 = op2(e21,e21)
    | e20 = op2(e20,e20)
    | e23 != op2(e23,e20) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f547,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(f551,plain,
    ( e23 != op2(e23,op2(e23,e23))
    | sP29
    | sP28
    | sP27
    | sP26
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f552,plain,
    e10 = op1(op1(e12,e12),e12),
    inference(cnf_transformation,[],[f12]) ).

fof(f553,plain,
    e11 = op1(op1(e12,e12),op1(e12,e12)),
    inference(cnf_transformation,[],[f12]) ).

fof(f554,plain,
    e13 = op1(e12,e12),
    inference(cnf_transformation,[],[f12]) ).

fof(f555,plain,
    e20 = op2(op2(e22,e22),e22),
    inference(cnf_transformation,[],[f13]) ).

fof(f556,plain,
    e21 = op2(op2(e22,e22),op2(e22,e22)),
    inference(cnf_transformation,[],[f13]) ).

fof(f557,plain,
    e23 = op2(e22,e22),
    inference(cnf_transformation,[],[f13]) ).

fof(f558,plain,
    e20 = h1(e12),
    inference(cnf_transformation,[],[f14]) ).

fof(f561,plain,
    op2(e20,e20) = h1(e13),
    inference(cnf_transformation,[],[f14]) ).

fof(f565,plain,
    op2(e21,e21) = h2(e13),
    inference(cnf_transformation,[],[f15]) ).

fof(f566,plain,
    e22 = h3(e12),
    inference(cnf_transformation,[],[f16]) ).

fof(f567,plain,
    op2(op2(e22,e22),e22) = h3(e10),
    inference(cnf_transformation,[],[f16]) ).

fof(f568,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h3(e11),
    inference(cnf_transformation,[],[f16]) ).

fof(f569,plain,
    op2(e22,e22) = h3(e13),
    inference(cnf_transformation,[],[f16]) ).

fof(f570,plain,
    e23 = h4(e12),
    inference(cnf_transformation,[],[f17]) ).

fof(f571,plain,
    h4(e10) = op2(op2(e23,e23),e23),
    inference(cnf_transformation,[],[f17]) ).

fof(f573,plain,
    op2(e23,e23) = h4(e13),
    inference(cnf_transformation,[],[f17]) ).

fof(f588,plain,
    ( e22 != h3(e12)
    | ~ sP38 ),
    inference(cnf_transformation,[],[f99]) ).

fof(f591,plain,
    ( e21 != h3(e11)
    | ~ sP37 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f594,plain,
    ( e20 != h3(e10)
    | ~ sP36 ),
    inference(cnf_transformation,[],[f101]) ).

fof(f633,plain,
    ( e23 != h3(e13)
    | 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)) ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_51,plain,
    ( op1(e13,e11) = e13
    | op1(e13,e11) = e12
    | op1(e13,e11) = e11
    | op1(e13,e11) = e10 ),
    inference(cnf_transformation,[],[f121]) ).

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_57,plain,
    ( op1(e11,e13) = e13
    | op1(e11,e13) = e12
    | op1(e11,e13) = e11
    | op1(e11,e13) = e10 ),
    inference(cnf_transformation,[],[f115]) ).

cnf(c_58,plain,
    ( op1(e11,e12) = e13
    | op1(e11,e12) = e12
    | op1(e11,e12) = e11
    | op1(e11,e12) = e10 ),
    inference(cnf_transformation,[],[f114]) ).

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_64,plain,
    ( op1(e10,e10) = e13
    | op1(e10,e10) = e12
    | op1(e10,e10) = e11
    | op1(e10,e10) = e10 ),
    inference(cnf_transformation,[],[f108]) ).

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_67,plain,
    ( op1(e13,e13) = e12
    | op1(e12,e13) = e12
    | op1(e11,e13) = e12
    | op1(e10,e13) = e12 ),
    inference(cnf_transformation,[],[f153]) ).

cnf(c_68,plain,
    ( op1(e13,e13) = e12
    | op1(e13,e12) = e12
    | op1(e13,e11) = e12
    | op1(e13,e10) = e12 ),
    inference(cnf_transformation,[],[f152]) ).

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_77,plain,
    ( op1(e13,e12) = e11
    | op1(e12,e12) = e11
    | op1(e11,e12) = e11
    | op1(e10,e12) = e11 ),
    inference(cnf_transformation,[],[f143]) ).

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_86,plain,
    ( op1(e11,e13) = e11
    | op1(e11,e12) = e11
    | op1(e11,e11) = e11
    | op1(e11,e10) = e11 ),
    inference(cnf_transformation,[],[f134]) ).

cnf(c_88,plain,
    ( op1(e11,e13) = e10
    | op1(e11,e12) = e10
    | op1(e11,e11) = e10
    | op1(e11,e10) = e10 ),
    inference(cnf_transformation,[],[f132]) ).

cnf(c_92,plain,
    ( op1(e10,e13) = e12
    | op1(e10,e12) = e12
    | op1(e10,e11) = e12
    | op1(e10,e10) = e12 ),
    inference(cnf_transformation,[],[f128]) ).

cnf(c_93,plain,
    ( op1(e13,e10) = e11
    | op1(e12,e10) = e11
    | op1(e11,e10) = e11
    | op1(e10,e10) = e11 ),
    inference(cnf_transformation,[],[f127]) ).

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_99,plain,
    ( op2(e23,e21) = e23
    | op2(e23,e21) = e22
    | op2(e23,e21) = e21
    | op2(e23,e21) = e20 ),
    inference(cnf_transformation,[],[f169]) ).

cnf(c_100,plain,
    ( op2(e23,e20) = e23
    | op2(e23,e20) = e22
    | op2(e23,e20) = e21
    | op2(e23,e20) = e20 ),
    inference(cnf_transformation,[],[f168]) ).

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_106,plain,
    ( op2(e21,e22) = e23
    | op2(e21,e22) = e22
    | op2(e21,e22) = e21
    | op2(e21,e22) = e20 ),
    inference(cnf_transformation,[],[f162]) ).

cnf(c_109,plain,
    ( op2(e20,e23) = e23
    | op2(e20,e23) = e22
    | op2(e20,e23) = e21
    | op2(e20,e23) = e20 ),
    inference(cnf_transformation,[],[f159]) ).

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_114,plain,
    ( op2(e23,e23) = e23
    | op2(e23,e22) = e23
    | op2(e23,e21) = e23
    | op2(e23,e20) = e23 ),
    inference(cnf_transformation,[],[f202]) ).

cnf(c_115,plain,
    ( op2(e23,e23) = e22
    | op2(e22,e23) = e22
    | op2(e21,e23) = e22
    | op2(e20,e23) = e22 ),
    inference(cnf_transformation,[],[f201]) ).

cnf(c_116,plain,
    ( op2(e23,e23) = e22
    | op2(e23,e22) = e22
    | op2(e23,e21) = e22
    | op2(e23,e20) = e22 ),
    inference(cnf_transformation,[],[f200]) ).

cnf(c_119,plain,
    ( op2(e23,e23) = e20
    | op2(e22,e23) = e20
    | op2(e21,e23) = e20
    | op2(e20,e23) = e20 ),
    inference(cnf_transformation,[],[f197]) ).

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_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_133,plain,
    ( op2(e23,e21) = e21
    | op2(e22,e21) = e21
    | op2(e21,e21) = e21
    | op2(e20,e21) = e21 ),
    inference(cnf_transformation,[],[f183]) ).

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_140,plain,
    ( op2(e20,e23) = e22
    | op2(e20,e22) = e22
    | op2(e20,e21) = e22
    | op2(e20,e20) = e22 ),
    inference(cnf_transformation,[],[f176]) ).

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_146,plain,
    op1(e13,e13) != op1(e13,e11),
    inference(cnf_transformation,[],[f250]) ).

cnf(c_147,plain,
    op1(e13,e12) != op1(e13,e11),
    inference(cnf_transformation,[],[f249]) ).

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_151,plain,
    op1(e12,e13) != op1(e12,e12),
    inference(cnf_transformation,[],[f245]) ).

cnf(c_154,plain,
    op1(e12,e13) != op1(e12,e10),
    inference(cnf_transformation,[],[f242]) ).

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_162,plain,
    op1(e11,e11) != op1(e11,e10),
    inference(cnf_transformation,[],[f234]) ).

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

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

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

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_171,plain,
    op1(e12,e13) != op1(e11,e13),
    inference(cnf_transformation,[],[f225]) ).

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

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_177,plain,
    op1(e12,e12) != op1(e11,e12),
    inference(cnf_transformation,[],[f219]) ).

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_182,plain,
    op1(e13,e11) != op1(e11,e11),
    inference(cnf_transformation,[],[f214]) ).

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

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

cnf(c_188,plain,
    op1(e13,e10) != op1(e11,e10),
    inference(cnf_transformation,[],[f208]) ).

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_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_214,plain,
    op2(e20,e23) != op2(e20,e20),
    inference(cnf_transformation,[],[f278]) ).

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

cnf(c_220,plain,
    op2(e23,e23) != op2(e20,e23),
    inference(cnf_transformation,[],[f272]) ).

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_224,plain,
    op2(e23,e22) != op2(e21,e22),
    inference(cnf_transformation,[],[f268]) ).

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

cnf(c_226,plain,
    op2(e23,e22) != op2(e20,e22),
    inference(cnf_transformation,[],[f266]) ).

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_232,plain,
    op2(e23,e21) != op2(e20,e21),
    inference(cnf_transformation,[],[f260]) ).

cnf(c_233,plain,
    op2(e22,e21) != op2(e20,e21),
    inference(cnf_transformation,[],[f259]) ).

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_236,plain,
    op2(e23,e20) != op2(e21,e20),
    inference(cnf_transformation,[],[f256]) ).

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

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_269,plain,
    ( op1(e13,op1(e13,e13)) != e13
    | ~ sP14 ),
    inference(cnf_transformation,[],[f333]) ).

cnf(c_273,plain,
    ( ~ sP14
    | op1(e12,e13) = e13 ),
    inference(cnf_transformation,[],[f329]) ).

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

cnf(c_275,plain,
    ( op1(e13,op1(e13,e13)) != e13
    | ~ sP13 ),
    inference(cnf_transformation,[],[f339]) ).

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

cnf(c_281,plain,
    ( op1(e13,op1(e13,e13)) != e13
    | ~ sP12 ),
    inference(cnf_transformation,[],[f345]) ).

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

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

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

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

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

cnf(c_306,plain,
    ( op1(e12,op1(e12,e12)) != e12
    | ~ sP8 ),
    inference(cnf_transformation,[],[f368]) ).

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

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

cnf(c_318,plain,
    ( op1(e11,op1(e11,e12)) != e12
    | ~ sP6 ),
    inference(cnf_transformation,[],[f380]) ).

cnf(c_322,plain,
    ( ~ sP6
    | op1(e11,e12) = e11 ),
    inference(cnf_transformation,[],[f376]) ).

cnf(c_324,plain,
    ( op1(e11,op1(e11,e12)) != e12
    | ~ sP5 ),
    inference(cnf_transformation,[],[f386]) ).

cnf(c_330,plain,
    ( op1(e11,op1(e11,e12)) != e12
    | ~ sP4 ),
    inference(cnf_transformation,[],[f392]) ).

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

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

cnf(c_348,plain,
    ( op1(e10,op1(e10,e12)) != e12
    | ~ sP1 ),
    inference(cnf_transformation,[],[f410]) ).

cnf(c_350,plain,
    ( op1(e10,op1(e10,e10)) != e10
    | ~ sP1 ),
    inference(cnf_transformation,[],[f408]) ).

cnf(c_352,plain,
    ( ~ sP1
    | op1(e10,e11) = e10 ),
    inference(cnf_transformation,[],[f406]) ).

cnf(c_354,plain,
    ( op1(e10,op1(e10,e12)) != e12
    | ~ sP0 ),
    inference(cnf_transformation,[],[f416]) ).

cnf(c_356,plain,
    ( op1(e10,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,op1(e13,e13)) != e13
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f439]) ).

cnf(c_363,plain,
    ( op1(e13,e13) = e13
    | sP14
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f435]) ).

cnf(c_367,plain,
    ( op1(e13,e10) != e13
    | op1(e13,e13) = e10
    | op1(e12,e12) = e10
    | op1(e11,e11) = e10
    | op1(e10,e10) = e10 ),
    inference(cnf_transformation,[],[f430]) ).

cnf(c_370,plain,
    ( op1(e12,e10) != e12
    | op1(e13,e13) = e10
    | op1(e12,e12) = e10
    | op1(e11,e11) = e10
    | op1(e10,e10) = e10 ),
    inference(cnf_transformation,[],[f426]) ).

cnf(c_372,plain,
    ( op1(e11,e12) != e11
    | op1(e13,e13) = e12
    | op1(e12,e12) = e12
    | op1(e11,e11) = e12
    | op1(e10,e10) = e12 ),
    inference(cnf_transformation,[],[f424]) ).

cnf(c_377,plain,
    ( op2(e23,op2(e23,e23)) != e23
    | ~ sP29 ),
    inference(cnf_transformation,[],[f445]) ).

cnf(c_381,plain,
    ( ~ sP29
    | op2(e22,e23) = e23 ),
    inference(cnf_transformation,[],[f441]) ).

cnf(c_383,plain,
    ( op2(e23,op2(e23,e23)) != e23
    | ~ sP28 ),
    inference(cnf_transformation,[],[f451]) ).

cnf(c_387,plain,
    ( ~ sP28
    | op2(e21,e23) = e23 ),
    inference(cnf_transformation,[],[f447]) ).

cnf(c_388,plain,
    ( ~ sP28
    | op2(e23,e21) = e23 ),
    inference(cnf_transformation,[],[f446]) ).

cnf(c_389,plain,
    ( op2(e23,op2(e23,e23)) != e23
    | ~ sP27 ),
    inference(cnf_transformation,[],[f457]) ).

cnf(c_390,plain,
    ( op2(e23,op2(e23,e22)) != e22
    | ~ sP27 ),
    inference(cnf_transformation,[],[f456]) ).

cnf(c_393,plain,
    ( ~ sP27
    | op2(e20,e23) = e23 ),
    inference(cnf_transformation,[],[f453]) ).

cnf(c_399,plain,
    ( ~ sP26
    | op2(e23,e22) = e22 ),
    inference(cnf_transformation,[],[f459]) ).

cnf(c_406,plain,
    ( ~ sP25
    | op2(e22,e22) = e22 ),
    inference(cnf_transformation,[],[f464]) ).

cnf(c_408,plain,
    ( op2(e22,op2(e22,e22)) != e22
    | ~ sP24 ),
    inference(cnf_transformation,[],[f474]) ).

cnf(c_411,plain,
    ( ~ sP24
    | op2(e21,e22) = e22 ),
    inference(cnf_transformation,[],[f471]) ).

cnf(c_412,plain,
    ( ~ sP24
    | op2(e22,e21) = e22 ),
    inference(cnf_transformation,[],[f470]) ).

cnf(c_414,plain,
    ( op2(e22,op2(e22,e22)) != e22
    | ~ sP23 ),
    inference(cnf_transformation,[],[f480]) ).

cnf(c_417,plain,
    ( ~ sP23
    | op2(e20,e22) = e22 ),
    inference(cnf_transformation,[],[f477]) ).

cnf(c_418,plain,
    ( ~ sP23
    | op2(e22,e20) = e22 ),
    inference(cnf_transformation,[],[f476]) ).

cnf(c_424,plain,
    ( ~ sP22
    | op2(e21,e23) = e21 ),
    inference(cnf_transformation,[],[f482]) ).

cnf(c_425,plain,
    ( op2(e21,op2(e21,e23)) != e23
    | ~ sP21 ),
    inference(cnf_transformation,[],[f493]) ).

cnf(c_426,plain,
    ( op2(e21,op2(e21,e22)) != e22
    | ~ sP21 ),
    inference(cnf_transformation,[],[f492]) ).

cnf(c_430,plain,
    ( ~ sP21
    | op2(e21,e22) = e21 ),
    inference(cnf_transformation,[],[f488]) ).

cnf(c_431,plain,
    ( op2(e21,op2(e21,e23)) != e23
    | ~ sP20 ),
    inference(cnf_transformation,[],[f499]) ).

cnf(c_432,plain,
    ( op2(e21,op2(e21,e22)) != e22
    | ~ sP20 ),
    inference(cnf_transformation,[],[f498]) ).

cnf(c_437,plain,
    ( op2(e21,op2(e21,e23)) != e23
    | ~ sP19 ),
    inference(cnf_transformation,[],[f505]) ).

cnf(c_441,plain,
    ( ~ sP19
    | op2(e20,e21) = e21 ),
    inference(cnf_transformation,[],[f501]) ).

cnf(c_442,plain,
    ( ~ sP19
    | op2(e21,e20) = e21 ),
    inference(cnf_transformation,[],[f500]) ).

cnf(c_447,plain,
    ( ~ sP18
    | op2(e23,e20) = e20 ),
    inference(cnf_transformation,[],[f507]) ).

cnf(c_454,plain,
    ( ~ sP17
    | op2(e20,e22) = e20 ),
    inference(cnf_transformation,[],[f512]) ).

cnf(c_455,plain,
    ( op2(e20,op2(e20,e23)) != e23
    | ~ sP16 ),
    inference(cnf_transformation,[],[f523]) ).

cnf(c_458,plain,
    ( op2(e20,op2(e20,e20)) != e20
    | ~ sP16 ),
    inference(cnf_transformation,[],[f520]) ).

cnf(c_460,plain,
    ( ~ sP16
    | op2(e20,e21) = e20 ),
    inference(cnf_transformation,[],[f518]) ).

cnf(c_461,plain,
    ( op2(e20,op2(e20,e23)) != e23
    | ~ sP15 ),
    inference(cnf_transformation,[],[f529]) ).

cnf(c_464,plain,
    ( op2(e20,op2(e20,e20)) != e20
    | ~ sP15 ),
    inference(cnf_transformation,[],[f526]) ).

cnf(c_466,plain,
    ( ~ sP15
    | op2(e20,e20) = e20 ),
    inference(cnf_transformation,[],[f524]) ).

cnf(c_467,plain,
    ( op2(e23,op2(e23,e23)) != e23
    | sP29
    | sP28
    | sP27
    | sP26
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15 ),
    inference(cnf_transformation,[],[f551]) ).

cnf(c_471,plain,
    ( op2(e23,e23) = e23
    | sP29
    | sP28
    | sP27
    | sP26
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15 ),
    inference(cnf_transformation,[],[f547]) ).

cnf(c_475,plain,
    ( op2(e23,e20) != e23
    | op2(e23,e23) = e20
    | op2(e22,e22) = e20
    | op2(e21,e21) = e20
    | op2(e20,e20) = e20 ),
    inference(cnf_transformation,[],[f542]) ).

cnf(c_480,plain,
    ( op2(e21,e22) != e21
    | op2(e23,e23) = e22
    | op2(e22,e22) = e22
    | op2(e21,e21) = e22
    | op2(e20,e20) = e22 ),
    inference(cnf_transformation,[],[f536]) ).

cnf(c_485,plain,
    op1(e12,e12) = e13,
    inference(cnf_transformation,[],[f554]) ).

cnf(c_486,plain,
    op1(op1(e12,e12),op1(e12,e12)) = e11,
    inference(cnf_transformation,[],[f553]) ).

cnf(c_487,plain,
    op1(op1(e12,e12),e12) = e10,
    inference(cnf_transformation,[],[f552]) ).

cnf(c_488,plain,
    op2(e22,e22) = e23,
    inference(cnf_transformation,[],[f557]) ).

cnf(c_489,plain,
    op2(op2(e22,e22),op2(e22,e22)) = e21,
    inference(cnf_transformation,[],[f556]) ).

cnf(c_490,plain,
    op2(op2(e22,e22),e22) = e20,
    inference(cnf_transformation,[],[f555]) ).

cnf(c_491,plain,
    op2(e20,e20) = h1(e13),
    inference(cnf_transformation,[],[f561]) ).

cnf(c_494,plain,
    h1(e12) = e20,
    inference(cnf_transformation,[],[f558]) ).

cnf(c_495,plain,
    op2(e21,e21) = h2(e13),
    inference(cnf_transformation,[],[f565]) ).

cnf(c_499,plain,
    op2(e22,e22) = h3(e13),
    inference(cnf_transformation,[],[f569]) ).

cnf(c_500,plain,
    op2(op2(e22,e22),op2(e22,e22)) = h3(e11),
    inference(cnf_transformation,[],[f568]) ).

cnf(c_501,plain,
    op2(op2(e22,e22),e22) = h3(e10),
    inference(cnf_transformation,[],[f567]) ).

cnf(c_502,plain,
    h3(e12) = e22,
    inference(cnf_transformation,[],[f566]) ).

cnf(c_503,plain,
    op2(e23,e23) = h4(e13),
    inference(cnf_transformation,[],[f573]) ).

cnf(c_505,plain,
    op2(op2(e23,e23),e23) = h4(e10),
    inference(cnf_transformation,[],[f571]) ).

cnf(c_506,plain,
    h4(e12) = e23,
    inference(cnf_transformation,[],[f570]) ).

cnf(c_520,plain,
    ( h3(e12) != e22
    | ~ sP38 ),
    inference(cnf_transformation,[],[f588]) ).

cnf(c_525,plain,
    ( h3(e11) != e21
    | ~ sP37 ),
    inference(cnf_transformation,[],[f591]) ).

cnf(c_530,plain,
    ( h3(e10) != e20
    | ~ sP36 ),
    inference(cnf_transformation,[],[f594]) ).

cnf(c_559,negated_conjecture,
    ( op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
    | op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
    | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
    | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
    | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
    | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
    | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
    | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
    | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))
    | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
    | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
    | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
    | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
    | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
    | op2(h3(e10),h3(e11)) != h3(op1(e10,e11))
    | op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
    | h3(e13) != e23
    | sP38
    | sP37
    | sP36 ),
    inference(cnf_transformation,[],[f633]) ).

cnf(c_601,plain,
    ( op2(e23,op2(e23,e23)) != e23
    | sP26
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15 ),
    inference(global_subsumption_just,[status(thm)],[c_467,c_389,c_383,c_377,c_467]) ).

cnf(c_609,plain,
    ( op1(e13,op1(e13,e13)) != e13
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(global_subsumption_just,[status(thm)],[c_359,c_281,c_275,c_269,c_359]) ).

cnf(c_657,plain,
    ( h3(e13) != e23
    | op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
    | op2(h3(e10),h3(e11)) != h3(op1(e10,e11))
    | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
    | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
    | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
    | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
    | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
    | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))
    | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
    | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
    | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
    | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
    | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
    | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
    | op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
    | op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
    | sP37
    | sP36 ),
    inference(global_subsumption_just,[status(thm)],[c_559,c_502,c_520,c_559]) ).

cnf(c_658,negated_conjecture,
    ( op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
    | op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
    | op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
    | op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
    | op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
    | op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
    | op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
    | op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
    | op2(h3(e11),h3(e13)) != h3(op1(e11,e13))
    | op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
    | op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
    | op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
    | op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
    | op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
    | op2(h3(e10),h3(e11)) != h3(op1(e10,e11))
    | op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
    | h3(e13) != e23
    | sP37
    | sP36 ),
    inference(renaming,[status(thm)],[c_657]) ).

cnf(c_4175,plain,
    ( op1(e13,e13) = e13
    | op1(e13,e12) = e13
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(resolution,[status(thm)],[c_363,c_274]) ).

cnf(c_4224,plain,
    ( op1(e13,e13) = e13
    | op1(e12,e13) = e13
    | sP13
    | sP12
    | sP11
    | sP10
    | sP9
    | sP8
    | sP7
    | sP6
    | sP5
    | sP4
    | sP3
    | sP2
    | sP1
    | sP0 ),
    inference(resolution,[status(thm)],[c_363,c_273]) ).

cnf(c_4334,plain,
    ( op2(e23,e23) = e23
    | op2(e22,e23) = e23
    | sP28
    | sP27
    | sP26
    | sP25
    | sP24
    | sP23
    | sP22
    | sP21
    | sP20
    | sP19
    | sP18
    | sP17
    | sP16
    | sP15 ),
    inference(resolution,[status(thm)],[c_471,c_381]) ).

cnf(c_6203,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_4334,c_4224,c_4175,c_658,c_609,c_601,c_530,c_525,c_506,c_505,c_503,c_502,c_501,c_500,c_499,c_495,c_494,c_491,c_490,c_489,c_488,c_487,c_486,c_485,c_480,c_475,c_466,c_464,c_461,c_460,c_458,c_455,c_454,c_447,c_442,c_441,c_437,c_432,c_431,c_430,c_426,c_425,c_424,c_418,c_417,c_414,c_412,c_411,c_408,c_406,c_399,c_393,c_390,c_389,c_388,c_387,c_372,c_370,c_367,c_358,c_356,c_354,c_352,c_350,c_348,c_346,c_339,c_330,c_324,c_322,c_318,c_316,c_309,c_306,c_304,c_300,c_298,c_291,c_285,c_280,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_240,c_238,c_236,c_235,c_234,c_233,c_232,c_230,c_229,c_228,c_227,c_226,c_225,c_224,c_223,c_222,c_221,c_220,c_218,c_214,c_212,c_211,c_203,c_202,c_201,c_199,c_198,c_197,c_196,c_195,c_194,c_193,c_192,c_190,c_188,c_186,c_184,c_182,c_179,c_178,c_177,c_176,c_175,c_173,c_171,c_170,c_169,c_167,c_165,c_163,c_162,c_158,c_157,c_154,c_151,c_149,c_148,c_147,c_146,c_145,c_144,c_140,c_138,c_137,c_136,c_133,c_130,c_129,c_125,c_124,c_123,c_119,c_116,c_115,c_114,c_110,c_109,c_106,c_104,c_100,c_99,c_96,c_95,c_93,c_92,c_88,c_86,c_85,c_84,c_77,c_76,c_75,c_68,c_67,c_66,c_64,c_62,c_58,c_57,c_53,c_52,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : ALG120+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 23:11:37 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.19/0.48  Running first-order theorem proving
% 0.19/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.14/1.67  % SZS status Started for theBenchmark.p
% 6.14/1.67  % SZS status Theorem for theBenchmark.p
% 6.14/1.67  
% 6.14/1.67  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 6.14/1.67  
% 6.14/1.67  ------  iProver source info
% 6.14/1.67  
% 6.14/1.67  git: date: 2024-05-02 19:28:25 +0000
% 6.14/1.67  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 6.14/1.67  git: non_committed_changes: false
% 6.14/1.67  
% 6.14/1.67  ------ Parsing...
% 6.14/1.67  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 6.14/1.67  
% 6.14/1.67  ------ Preprocessing... sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e 
% 6.14/1.67  
% 6.14/1.67  ------ Preprocessing...
% 6.14/1.67  
% 6.14/1.67  % SZS status Theorem for theBenchmark.p
% 6.14/1.67  
% 6.14/1.67  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.14/1.68  
% 6.14/1.68  
%------------------------------------------------------------------------------