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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : ALG154+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 12:53:37 PM UTC 2026

% Result   : Unsatisfiable 3.38s 1.29s
% Output   : CNFRefutation 4.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   95
% Syntax   : Number of formulae    :  940 ( 148 unt;  66 def)
%            Number of atoms       : 3596 (2404 equ)
%            Maximal formula atoms :  304 (   3 avg)
%            Number of connectives : 4295 (1639   ~;1858   |; 798   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   69 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   68 (  66 usr;  67 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ( ( op(e3,e3) = e3
      | op(e3,e3) = e2
      | op(e3,e3) = e1
      | op(e3,e3) = e0 )
    & ( op(e3,e2) = e3
      | op(e3,e2) = e2
      | op(e3,e2) = e1
      | op(e3,e2) = e0 )
    & ( op(e3,e1) = e3
      | op(e3,e1) = e2
      | op(e3,e1) = e1
      | op(e3,e1) = e0 )
    & ( op(e3,e0) = e3
      | op(e3,e0) = e2
      | op(e3,e0) = e1
      | op(e3,e0) = e0 )
    & ( op(e2,e3) = e3
      | op(e2,e3) = e2
      | op(e2,e3) = e1
      | op(e2,e3) = e0 )
    & ( op(e2,e2) = e3
      | op(e2,e2) = e2
      | op(e2,e2) = e1
      | op(e2,e2) = e0 )
    & ( op(e2,e1) = e3
      | op(e2,e1) = e2
      | op(e2,e1) = e1
      | op(e2,e1) = e0 )
    & ( op(e2,e0) = e3
      | op(e2,e0) = e2
      | op(e2,e0) = e1
      | op(e2,e0) = e0 )
    & ( op(e1,e3) = e3
      | op(e1,e3) = e2
      | op(e1,e3) = e1
      | op(e1,e3) = e0 )
    & ( op(e1,e2) = e3
      | op(e1,e2) = e2
      | op(e1,e2) = e1
      | op(e1,e2) = e0 )
    & ( op(e1,e1) = e3
      | op(e1,e1) = e2
      | op(e1,e1) = e1
      | op(e1,e1) = e0 )
    & ( op(e1,e0) = e3
      | op(e1,e0) = e2
      | op(e1,e0) = e1
      | op(e1,e0) = e0 )
    & ( op(e0,e3) = e3
      | op(e0,e3) = e2
      | op(e0,e3) = e1
      | op(e0,e3) = e0 )
    & ( op(e0,e2) = e3
      | op(e0,e2) = e2
      | op(e0,e2) = e1
      | op(e0,e2) = e0 )
    & ( op(e0,e1) = e3
      | op(e0,e1) = e2
      | op(e0,e1) = e1
      | op(e0,e1) = e0 )
    & ( op(e0,e0) = e3
      | op(e0,e0) = e2
      | op(e0,e0) = e1
      | op(e0,e0) = e0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(f2,axiom,
    ( ( op(e3,e3) = e3
      | op(e2,e3) = e3
      | op(e1,e3) = e3
      | op(e0,e3) = e3 )
    & ( op(e3,e3) = e3
      | op(e3,e2) = e3
      | op(e3,e1) = e3
      | op(e3,e0) = e3 )
    & ( op(e3,e3) = e2
      | op(e2,e3) = e2
      | op(e1,e3) = e2
      | op(e0,e3) = e2 )
    & ( op(e3,e3) = e2
      | op(e3,e2) = e2
      | op(e3,e1) = e2
      | op(e3,e0) = e2 )
    & ( op(e3,e3) = e1
      | op(e2,e3) = e1
      | op(e1,e3) = e1
      | op(e0,e3) = e1 )
    & ( op(e3,e3) = e1
      | op(e3,e2) = e1
      | op(e3,e1) = e1
      | op(e3,e0) = e1 )
    & ( op(e3,e3) = e0
      | op(e2,e3) = e0
      | op(e1,e3) = e0
      | op(e0,e3) = e0 )
    & ( op(e3,e3) = e0
      | op(e3,e2) = e0
      | op(e3,e1) = e0
      | op(e3,e0) = e0 )
    & ( op(e3,e2) = e3
      | op(e2,e2) = e3
      | op(e1,e2) = e3
      | op(e0,e2) = e3 )
    & ( op(e2,e3) = e3
      | op(e2,e2) = e3
      | op(e2,e1) = e3
      | op(e2,e0) = e3 )
    & ( op(e3,e2) = e2
      | op(e2,e2) = e2
      | op(e1,e2) = e2
      | op(e0,e2) = e2 )
    & ( op(e2,e3) = e2
      | op(e2,e2) = e2
      | op(e2,e1) = e2
      | op(e2,e0) = e2 )
    & ( op(e3,e2) = e1
      | op(e2,e2) = e1
      | op(e1,e2) = e1
      | op(e0,e2) = e1 )
    & ( op(e2,e3) = e1
      | op(e2,e2) = e1
      | op(e2,e1) = e1
      | op(e2,e0) = e1 )
    & ( op(e3,e2) = e0
      | op(e2,e2) = e0
      | op(e1,e2) = e0
      | op(e0,e2) = e0 )
    & ( op(e2,e3) = e0
      | op(e2,e2) = e0
      | op(e2,e1) = e0
      | op(e2,e0) = e0 )
    & ( op(e3,e1) = e3
      | op(e2,e1) = e3
      | op(e1,e1) = e3
      | op(e0,e1) = e3 )
    & ( op(e1,e3) = e3
      | op(e1,e2) = e3
      | op(e1,e1) = e3
      | op(e1,e0) = e3 )
    & ( op(e3,e1) = e2
      | op(e2,e1) = e2
      | op(e1,e1) = e2
      | op(e0,e1) = e2 )
    & ( op(e1,e3) = e2
      | op(e1,e2) = e2
      | op(e1,e1) = e2
      | op(e1,e0) = e2 )
    & ( op(e3,e1) = e1
      | op(e2,e1) = e1
      | op(e1,e1) = e1
      | op(e0,e1) = e1 )
    & ( op(e1,e3) = e1
      | op(e1,e2) = e1
      | op(e1,e1) = e1
      | op(e1,e0) = e1 )
    & ( op(e3,e1) = e0
      | op(e2,e1) = e0
      | op(e1,e1) = e0
      | op(e0,e1) = e0 )
    & ( op(e1,e3) = e0
      | op(e1,e2) = e0
      | op(e1,e1) = e0
      | op(e1,e0) = e0 )
    & ( op(e3,e0) = e3
      | op(e2,e0) = e3
      | op(e1,e0) = e3
      | op(e0,e0) = e3 )
    & ( op(e0,e3) = e3
      | op(e0,e2) = e3
      | op(e0,e1) = e3
      | op(e0,e0) = e3 )
    & ( op(e3,e0) = e2
      | op(e2,e0) = e2
      | op(e1,e0) = e2
      | op(e0,e0) = e2 )
    & ( op(e0,e3) = e2
      | op(e0,e2) = e2
      | op(e0,e1) = e2
      | op(e0,e0) = e2 )
    & ( op(e3,e0) = e1
      | op(e2,e0) = e1
      | op(e1,e0) = e1
      | op(e0,e0) = e1 )
    & ( op(e0,e3) = e1
      | op(e0,e2) = e1
      | op(e0,e1) = e1
      | op(e0,e0) = e1 )
    & ( op(e3,e0) = e0
      | op(e2,e0) = e0
      | op(e1,e0) = e0
      | op(e0,e0) = e0 )
    & ( op(e0,e3) = e0
      | op(e0,e2) = e0
      | op(e0,e1) = e0
      | op(e0,e0) = e0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(f3,axiom,
    ( op(e3,e2) != op(e3,e3)
    & op(e3,e1) != op(e3,e3)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e0) != op(e3,e1)
    & op(e2,e2) != op(e2,e3)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e2,e1)
    & op(e1,e2) != op(e1,e3)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e1)
    & op(e0,e2) != op(e0,e3)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e1) != op(e0,e2)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e1)
    & op(e2,e3) != op(e3,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e3) != op(e1,e3)
    & op(e2,e2) != op(e3,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e1,e2)
    & op(e2,e1) != op(e3,e1)
    & op(e1,e1) != op(e3,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e1) != op(e1,e1)
    & op(e2,e0) != op(e3,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e0,e0) != op(e3,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e0) != op(e1,e0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

fof(f4,axiom,
    ( e2 != e3
    & e1 != e3
    & e1 != e2
    & e0 != e3
    & e0 != e2
    & e0 != e1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

fof(f5,axiom,
    ( ( ( ( op(e3,e3) = e3
          | op(e3,e3) != e3 )
        & ( op(e2,e3) = e2
          | op(e2,e2) != e3 )
        & ( op(e1,e3) = e1
          | op(e1,e1) != e3 )
        & ( op(e0,e3) = e0
          | op(e0,e0) != e3 )
        & op(e3,op(e3,e3)) = e3
        & op(e3,op(e3,e2)) = e2
        & op(e3,op(e3,e1)) = e1
        & op(e3,op(e3,e0)) = e0 )
      | ( ( op(e3,e2) = e3
          | op(e3,e3) != e2 )
        & ( op(e2,e2) = e2
          | op(e2,e2) != e2 )
        & ( op(e1,e2) = e1
          | op(e1,e1) != e2 )
        & ( op(e0,e2) = e0
          | op(e0,e0) != e2 )
        & op(e2,op(e2,e3)) = e3
        & op(e2,op(e2,e2)) = e2
        & op(e2,op(e2,e1)) = e1
        & op(e2,op(e2,e0)) = e0 )
      | ( ( op(e3,e1) = e3
          | op(e3,e3) != e1 )
        & ( op(e2,e1) = e2
          | op(e2,e2) != e1 )
        & ( op(e1,e1) = e1
          | op(e1,e1) != e1 )
        & ( op(e0,e1) = e0
          | op(e0,e0) != e1 )
        & op(e1,op(e1,e3)) = e3
        & op(e1,op(e1,e2)) = e2
        & op(e1,op(e1,e1)) = e1
        & op(e1,op(e1,e0)) = e0 )
      | ( ( op(e3,e0) = e3
          | op(e3,e3) != e0 )
        & ( op(e2,e0) = e2
          | op(e2,e2) != e0 )
        & ( op(e1,e0) = e1
          | op(e1,e1) != e0 )
        & ( op(e0,e0) = e0
          | op(e0,e0) != e0 )
        & op(e0,op(e0,e3)) = e3
        & op(e0,op(e0,e2)) = e2
        & op(e0,op(e0,e1)) = e1
        & op(e0,op(e0,e0)) = e0 ) )
    & ( ( op(e3,e3) != e3
        & op(e3,e3) = e3
        & op(e3,e3) != e3
        & op(e3,e3) = e3 )
      | ( op(e2,e3) != e2
        & op(e2,e2) = e3
        & op(e3,e3) != e3
        & op(e3,e3) = e3 )
      | ( op(e1,e3) != e1
        & op(e1,e1) = e3
        & op(e3,e3) != e3
        & op(e3,e3) = e3 )
      | ( op(e0,e3) != e0
        & op(e0,e0) = e3
        & op(e3,e3) != e3
        & op(e3,e3) = e3 )
      | ( op(e3,e2) != e3
        & op(e3,e3) = e2
        & op(e3,e3) != e2
        & op(e3,e2) = e3 )
      | ( op(e2,e2) != e2
        & op(e2,e2) = e2
        & op(e3,e3) != e2
        & op(e3,e2) = e3 )
      | ( op(e1,e2) != e1
        & op(e1,e1) = e2
        & op(e3,e3) != e2
        & op(e3,e2) = e3 )
      | ( op(e0,e2) != e0
        & op(e0,e0) = e2
        & op(e3,e3) != e2
        & op(e3,e2) = e3 )
      | ( op(e3,e1) != e3
        & op(e3,e3) = e1
        & op(e3,e3) != e1
        & op(e3,e1) = e3 )
      | ( op(e2,e1) != e2
        & op(e2,e2) = e1
        & op(e3,e3) != e1
        & op(e3,e1) = e3 )
      | ( op(e1,e1) != e1
        & op(e1,e1) = e1
        & op(e3,e3) != e1
        & op(e3,e1) = e3 )
      | ( op(e0,e1) != e0
        & op(e0,e0) = e1
        & op(e3,e3) != e1
        & op(e3,e1) = e3 )
      | ( op(e3,e0) != e3
        & op(e3,e3) = e0
        & op(e3,e3) != e0
        & op(e3,e0) = e3 )
      | ( op(e2,e0) != e2
        & op(e2,e2) = e0
        & op(e3,e3) != e0
        & op(e3,e0) = e3 )
      | ( op(e1,e0) != e1
        & op(e1,e1) = e0
        & op(e3,e3) != e0
        & op(e3,e0) = e3 )
      | ( op(e0,e0) != e0
        & op(e0,e0) = e0
        & op(e3,e3) != e0
        & op(e3,e0) = e3 )
      | ( op(e3,e3) != e3
        & op(e3,e3) = e3
        & op(e2,e2) != e3
        & op(e2,e3) = e2 )
      | ( op(e2,e3) != e2
        & op(e2,e2) = e3
        & op(e2,e2) != e3
        & op(e2,e3) = e2 )
      | ( op(e1,e3) != e1
        & op(e1,e1) = e3
        & op(e2,e2) != e3
        & op(e2,e3) = e2 )
      | ( op(e0,e3) != e0
        & op(e0,e0) = e3
        & op(e2,e2) != e3
        & op(e2,e3) = e2 )
      | ( op(e3,e2) != e3
        & op(e3,e3) = e2
        & op(e2,e2) != e2
        & op(e2,e2) = e2 )
      | ( op(e2,e2) != e2
        & op(e2,e2) = e2
        & op(e2,e2) != e2
        & op(e2,e2) = e2 )
      | ( op(e1,e2) != e1
        & op(e1,e1) = e2
        & op(e2,e2) != e2
        & op(e2,e2) = e2 )
      | ( op(e0,e2) != e0
        & op(e0,e0) = e2
        & op(e2,e2) != e2
        & op(e2,e2) = e2 )
      | ( op(e3,e1) != e3
        & op(e3,e3) = e1
        & op(e2,e2) != e1
        & op(e2,e1) = e2 )
      | ( op(e2,e1) != e2
        & op(e2,e2) = e1
        & op(e2,e2) != e1
        & op(e2,e1) = e2 )
      | ( op(e1,e1) != e1
        & op(e1,e1) = e1
        & op(e2,e2) != e1
        & op(e2,e1) = e2 )
      | ( op(e0,e1) != e0
        & op(e0,e0) = e1
        & op(e2,e2) != e1
        & op(e2,e1) = e2 )
      | ( op(e3,e0) != e3
        & op(e3,e3) = e0
        & op(e2,e2) != e0
        & op(e2,e0) = e2 )
      | ( op(e2,e0) != e2
        & op(e2,e2) = e0
        & op(e2,e2) != e0
        & op(e2,e0) = e2 )
      | ( op(e1,e0) != e1
        & op(e1,e1) = e0
        & op(e2,e2) != e0
        & op(e2,e0) = e2 )
      | ( op(e0,e0) != e0
        & op(e0,e0) = e0
        & op(e2,e2) != e0
        & op(e2,e0) = e2 )
      | ( op(e3,e3) != e3
        & op(e3,e3) = e3
        & op(e1,e1) != e3
        & op(e1,e3) = e1 )
      | ( op(e2,e3) != e2
        & op(e2,e2) = e3
        & op(e1,e1) != e3
        & op(e1,e3) = e1 )
      | ( op(e1,e3) != e1
        & op(e1,e1) = e3
        & op(e1,e1) != e3
        & op(e1,e3) = e1 )
      | ( op(e0,e3) != e0
        & op(e0,e0) = e3
        & op(e1,e1) != e3
        & op(e1,e3) = e1 )
      | ( op(e3,e2) != e3
        & op(e3,e3) = e2
        & op(e1,e1) != e2
        & op(e1,e2) = e1 )
      | ( op(e2,e2) != e2
        & op(e2,e2) = e2
        & op(e1,e1) != e2
        & op(e1,e2) = e1 )
      | ( op(e1,e2) != e1
        & op(e1,e1) = e2
        & op(e1,e1) != e2
        & op(e1,e2) = e1 )
      | ( op(e0,e2) != e0
        & op(e0,e0) = e2
        & op(e1,e1) != e2
        & op(e1,e2) = e1 )
      | ( op(e3,e1) != e3
        & op(e3,e3) = e1
        & op(e1,e1) != e1
        & op(e1,e1) = e1 )
      | ( op(e2,e1) != e2
        & op(e2,e2) = e1
        & op(e1,e1) != e1
        & op(e1,e1) = e1 )
      | ( op(e1,e1) != e1
        & op(e1,e1) = e1
        & op(e1,e1) != e1
        & op(e1,e1) = e1 )
      | ( op(e0,e1) != e0
        & op(e0,e0) = e1
        & op(e1,e1) != e1
        & op(e1,e1) = e1 )
      | ( op(e3,e0) != e3
        & op(e3,e3) = e0
        & op(e1,e1) != e0
        & op(e1,e0) = e1 )
      | ( op(e2,e0) != e2
        & op(e2,e2) = e0
        & op(e1,e1) != e0
        & op(e1,e0) = e1 )
      | ( op(e1,e0) != e1
        & op(e1,e1) = e0
        & op(e1,e1) != e0
        & op(e1,e0) = e1 )
      | ( op(e0,e0) != e0
        & op(e0,e0) = e0
        & op(e1,e1) != e0
        & op(e1,e0) = e1 )
      | ( op(e3,e3) != e3
        & op(e3,e3) = e3
        & op(e0,e0) != e3
        & op(e0,e3) = e0 )
      | ( op(e2,e3) != e2
        & op(e2,e2) = e3
        & op(e0,e0) != e3
        & op(e0,e3) = e0 )
      | ( op(e1,e3) != e1
        & op(e1,e1) = e3
        & op(e0,e0) != e3
        & op(e0,e3) = e0 )
      | ( op(e0,e3) != e0
        & op(e0,e0) = e3
        & op(e0,e0) != e3
        & op(e0,e3) = e0 )
      | ( op(e3,e2) != e3
        & op(e3,e3) = e2
        & op(e0,e0) != e2
        & op(e0,e2) = e0 )
      | ( op(e2,e2) != e2
        & op(e2,e2) = e2
        & op(e0,e0) != e2
        & op(e0,e2) = e0 )
      | ( op(e1,e2) != e1
        & op(e1,e1) = e2
        & op(e0,e0) != e2
        & op(e0,e2) = e0 )
      | ( op(e0,e2) != e0
        & op(e0,e0) = e2
        & op(e0,e0) != e2
        & op(e0,e2) = e0 )
      | ( op(e3,e1) != e3
        & op(e3,e3) = e1
        & op(e0,e0) != e1
        & op(e0,e1) = e0 )
      | ( op(e2,e1) != e2
        & op(e2,e2) = e1
        & op(e0,e0) != e1
        & op(e0,e1) = e0 )
      | ( op(e1,e1) != e1
        & op(e1,e1) = e1
        & op(e0,e0) != e1
        & op(e0,e1) = e0 )
      | ( op(e0,e1) != e0
        & op(e0,e0) = e1
        & op(e0,e0) != e1
        & op(e0,e1) = e0 )
      | ( op(e3,e0) != e3
        & op(e3,e3) = e0
        & op(e0,e0) != e0
        & op(e0,e0) = e0 )
      | ( op(e2,e0) != e2
        & op(e2,e2) = e0
        & op(e0,e0) != e0
        & op(e0,e0) = e0 )
      | ( op(e1,e0) != e1
        & op(e1,e1) = e0
        & op(e0,e0) != e0
        & op(e0,e0) = e0 )
      | ( op(e0,e0) != e0
        & op(e0,e0) = e0
        & op(e0,e0) != e0
        & op(e0,e0) = e0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(f6,axiom,
    ~ ( e3 = op(e0,e0)
      & e2 = op(op(e0,e0),e0)
      & e1 = op(op(e0,e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

fof(f7,axiom,
    ~ ( e2 = op(e0,e0)
      & e3 = op(op(e0,e0),e0)
      & e1 = op(op(e0,e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).

fof(f8,axiom,
    ~ ( e3 = op(e0,e0)
      & e1 = op(op(e0,e0),e0)
      & e2 = op(op(e0,e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).

fof(f9,axiom,
    ~ ( e1 = op(e0,e0)
      & e3 = op(op(e0,e0),e0)
      & e2 = op(op(e0,e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).

fof(f10,axiom,
    ~ ( e2 = op(e0,e0)
      & e1 = op(op(e0,e0),e0)
      & e3 = op(op(e0,e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).

fof(f11,axiom,
    ~ ( e1 = op(e0,e0)
      & e2 = op(op(e0,e0),e0)
      & e3 = op(op(e0,e0),op(e0,e0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

fof(f12,axiom,
    ~ ( e3 = op(e1,e1)
      & e2 = op(op(e1,e1),e1)
      & e0 = op(op(e1,e1),op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).

fof(f13,axiom,
    ~ ( e2 = op(e1,e1)
      & e3 = op(op(e1,e1),e1)
      & e0 = op(op(e1,e1),op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).

fof(f14,axiom,
    ~ ( e3 = op(e1,e1)
      & e0 = op(op(e1,e1),e1)
      & e2 = op(op(e1,e1),op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).

fof(f15,axiom,
    ~ ( e0 = op(e1,e1)
      & e3 = op(op(e1,e1),e1)
      & e2 = op(op(e1,e1),op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

fof(f16,axiom,
    ~ ( e2 = op(e1,e1)
      & e0 = op(op(e1,e1),e1)
      & e3 = op(op(e1,e1),op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).

fof(f17,axiom,
    ~ ( e0 = op(e1,e1)
      & e2 = op(op(e1,e1),e1)
      & e3 = op(op(e1,e1),op(e1,e1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(f18,axiom,
    ~ ( e3 = op(e2,e2)
      & e1 = op(op(e2,e2),e2)
      & e0 = op(op(e2,e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).

fof(f19,axiom,
    ~ ( e1 = op(e2,e2)
      & e3 = op(op(e2,e2),e2)
      & e0 = op(op(e2,e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).

fof(f20,axiom,
    ~ ( e3 = op(e2,e2)
      & e0 = op(op(e2,e2),e2)
      & e1 = op(op(e2,e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).

fof(f21,axiom,
    ~ ( e0 = op(e2,e2)
      & e3 = op(op(e2,e2),e2)
      & e1 = op(op(e2,e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).

fof(f22,axiom,
    ~ ( e1 = op(e2,e2)
      & e0 = op(op(e2,e2),e2)
      & e3 = op(op(e2,e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).

fof(f23,axiom,
    ~ ( e0 = op(e2,e2)
      & e1 = op(op(e2,e2),e2)
      & e3 = op(op(e2,e2),op(e2,e2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).

fof(f24,axiom,
    ~ ( e2 = op(e3,e3)
      & e1 = op(op(e3,e3),e3)
      & e0 = op(op(e3,e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).

fof(f25,axiom,
    ~ ( e1 = op(e3,e3)
      & e2 = op(op(e3,e3),e3)
      & e0 = op(op(e3,e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).

fof(f26,axiom,
    ~ ( e2 = op(e3,e3)
      & e0 = op(op(e3,e3),e3)
      & e1 = op(op(e3,e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).

fof(f27,axiom,
    ~ ( e0 = op(e3,e3)
      & e2 = op(op(e3,e3),e3)
      & e1 = op(op(e3,e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).

fof(f28,axiom,
    ~ ( e1 = op(e3,e3)
      & e0 = op(op(e3,e3),e3)
      & e2 = op(op(e3,e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).

fof(f29,axiom,
    ~ ( e0 = op(e3,e3)
      & e1 = op(op(e3,e3),e3)
      & e2 = op(op(e3,e3),op(e3,e3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).

fof(f30,plain,
    ( op(e0,e0) != e3
    | e2 != op(op(e0,e0),e0)
    | e1 != op(op(e0,e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f31,plain,
    ( op(e0,e0) != e2
    | e3 != op(op(e0,e0),e0)
    | e1 != op(op(e0,e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f32,plain,
    ( op(e0,e0) != e3
    | e1 != op(op(e0,e0),e0)
    | e2 != op(op(e0,e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f33,plain,
    ( op(e0,e0) != e1
    | e3 != op(op(e0,e0),e0)
    | e2 != op(op(e0,e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f34,plain,
    ( op(e0,e0) != e2
    | e1 != op(op(e0,e0),e0)
    | e3 != op(op(e0,e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f35,plain,
    ( op(e0,e0) != e1
    | e2 != op(op(e0,e0),e0)
    | e3 != op(op(e0,e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f36,plain,
    ( e3 != op(e1,e1)
    | e2 != op(op(e1,e1),e1)
    | e0 != op(op(e1,e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f37,plain,
    ( e2 != op(e1,e1)
    | e3 != op(op(e1,e1),e1)
    | e0 != op(op(e1,e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f38,plain,
    ( e3 != op(e1,e1)
    | e0 != op(op(e1,e1),e1)
    | e2 != op(op(e1,e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f39,plain,
    ( e0 != op(e1,e1)
    | e3 != op(op(e1,e1),e1)
    | e2 != op(op(e1,e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f40,plain,
    ( e2 != op(e1,e1)
    | e0 != op(op(e1,e1),e1)
    | e3 != op(op(e1,e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f41,plain,
    ( e0 != op(e1,e1)
    | e2 != op(op(e1,e1),e1)
    | e3 != op(op(e1,e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f42,plain,
    ( e3 != op(e2,e2)
    | e1 != op(op(e2,e2),e2)
    | e0 != op(op(e2,e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f43,plain,
    ( e1 != op(e2,e2)
    | e3 != op(op(e2,e2),e2)
    | e0 != op(op(e2,e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f44,plain,
    ( e3 != op(e2,e2)
    | e0 != op(op(e2,e2),e2)
    | e1 != op(op(e2,e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f45,plain,
    ( e0 != op(e2,e2)
    | e3 != op(op(e2,e2),e2)
    | e1 != op(op(e2,e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f46,plain,
    ( e1 != op(e2,e2)
    | e0 != op(op(e2,e2),e2)
    | e3 != op(op(e2,e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f47,plain,
    ( e0 != op(e2,e2)
    | e1 != op(op(e2,e2),e2)
    | e3 != op(op(e2,e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f48,plain,
    ( e2 != op(e3,e3)
    | e1 != op(op(e3,e3),e3)
    | e0 != op(op(e3,e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f49,plain,
    ( e1 != op(e3,e3)
    | e2 != op(op(e3,e3),e3)
    | e0 != op(op(e3,e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f50,plain,
    ( e2 != op(e3,e3)
    | e0 != op(op(e3,e3),e3)
    | e1 != op(op(e3,e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f51,plain,
    ( e0 != op(e3,e3)
    | e2 != op(op(e3,e3),e3)
    | e1 != op(op(e3,e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f52,plain,
    ( e1 != op(e3,e3)
    | e0 != op(op(e3,e3),e3)
    | e2 != op(op(e3,e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f53,plain,
    ( e0 != op(e3,e3)
    | e1 != op(op(e3,e3),e3)
    | e2 != op(op(e3,e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f121,plain,
    ( ~ sP65
    | ( op(e1,e0) != e1
      & op(e1,e1) = e0
      & op(e0,e0) != e0
      & op(e0,e0) = e0 ) ),
    inference(nnf_transformation,[],[f119]) ).

fof(f122,plain,
    ( ~ sP64
    | ( op(e2,e0) != e2
      & op(e2,e2) = e0
      & op(e0,e0) != e0
      & op(e0,e0) = e0 ) ),
    inference(nnf_transformation,[],[f118]) ).

fof(f123,plain,
    ( ~ sP63
    | ( op(e3,e0) != e3
      & op(e3,e3) = e0
      & op(e0,e0) != e0
      & op(e0,e0) = e0 ) ),
    inference(nnf_transformation,[],[f117]) ).

fof(f124,plain,
    ( ~ sP62
    | ( op(e0,e1) != e0
      & op(e0,e0) = e1
      & op(e0,e0) != e1
      & op(e0,e1) = e0 ) ),
    inference(nnf_transformation,[],[f116]) ).

fof(f125,plain,
    ( ~ sP61
    | ( op(e1,e1) != e1
      & op(e1,e1) = e1
      & op(e0,e0) != e1
      & op(e0,e1) = e0 ) ),
    inference(nnf_transformation,[],[f115]) ).

fof(f126,plain,
    ( ~ sP60
    | ( op(e2,e1) != e2
      & op(e2,e2) = e1
      & op(e0,e0) != e1
      & op(e0,e1) = e0 ) ),
    inference(nnf_transformation,[],[f114]) ).

fof(f127,plain,
    ( ~ sP59
    | ( op(e3,e1) != e3
      & op(e3,e3) = e1
      & op(e0,e0) != e1
      & op(e0,e1) = e0 ) ),
    inference(nnf_transformation,[],[f113]) ).

fof(f128,plain,
    ( ~ sP58
    | ( op(e0,e2) != e0
      & op(e0,e0) = e2
      & op(e0,e0) != e2
      & op(e0,e2) = e0 ) ),
    inference(nnf_transformation,[],[f112]) ).

fof(f129,plain,
    ( ~ sP57
    | ( op(e1,e2) != e1
      & op(e1,e1) = e2
      & op(e0,e0) != e2
      & op(e0,e2) = e0 ) ),
    inference(nnf_transformation,[],[f111]) ).

fof(f130,plain,
    ( ~ sP56
    | ( op(e2,e2) != e2
      & op(e2,e2) = e2
      & op(e0,e0) != e2
      & op(e0,e2) = e0 ) ),
    inference(nnf_transformation,[],[f110]) ).

fof(f131,plain,
    ( ~ sP55
    | ( op(e3,e2) != e3
      & op(e3,e3) = e2
      & op(e0,e0) != e2
      & op(e0,e2) = e0 ) ),
    inference(nnf_transformation,[],[f109]) ).

fof(f132,plain,
    ( ~ sP54
    | ( op(e0,e3) != e0
      & op(e0,e0) = e3
      & op(e0,e0) != e3
      & op(e0,e3) = e0 ) ),
    inference(nnf_transformation,[],[f108]) ).

fof(f133,plain,
    ( ~ sP53
    | ( op(e1,e3) != e1
      & op(e1,e1) = e3
      & op(e0,e0) != e3
      & op(e0,e3) = e0 ) ),
    inference(nnf_transformation,[],[f107]) ).

fof(f134,plain,
    ( ~ sP52
    | ( op(e2,e3) != e2
      & op(e2,e2) = e3
      & op(e0,e0) != e3
      & op(e0,e3) = e0 ) ),
    inference(nnf_transformation,[],[f106]) ).

fof(f135,plain,
    ( ~ sP51
    | ( op(e3,e3) != e3
      & op(e3,e3) = e3
      & op(e0,e0) != e3
      & op(e0,e3) = e0 ) ),
    inference(nnf_transformation,[],[f105]) ).

fof(f136,plain,
    ( ~ sP50
    | ( op(e0,e0) != e0
      & op(e0,e0) = e0
      & op(e1,e1) != e0
      & op(e1,e0) = e1 ) ),
    inference(nnf_transformation,[],[f104]) ).

fof(f137,plain,
    ( ~ sP49
    | ( op(e1,e0) != e1
      & op(e1,e1) = e0
      & op(e1,e1) != e0
      & op(e1,e0) = e1 ) ),
    inference(nnf_transformation,[],[f103]) ).

fof(f138,plain,
    ( ~ sP48
    | ( op(e2,e0) != e2
      & op(e2,e2) = e0
      & op(e1,e1) != e0
      & op(e1,e0) = e1 ) ),
    inference(nnf_transformation,[],[f102]) ).

fof(f139,plain,
    ( ~ sP47
    | ( op(e3,e0) != e3
      & op(e3,e3) = e0
      & op(e1,e1) != e0
      & op(e1,e0) = e1 ) ),
    inference(nnf_transformation,[],[f101]) ).

fof(f140,plain,
    ( ~ sP46
    | ( op(e0,e1) != e0
      & op(e0,e0) = e1
      & op(e1,e1) != e1
      & op(e1,e1) = e1 ) ),
    inference(nnf_transformation,[],[f100]) ).

fof(f141,plain,
    ( ~ sP45
    | ( op(e1,e1) != e1
      & op(e1,e1) = e1
      & op(e1,e1) != e1
      & op(e1,e1) = e1 ) ),
    inference(nnf_transformation,[],[f99]) ).

fof(f142,plain,
    ( ~ sP44
    | ( op(e2,e1) != e2
      & op(e2,e2) = e1
      & op(e1,e1) != e1
      & op(e1,e1) = e1 ) ),
    inference(nnf_transformation,[],[f98]) ).

fof(f143,plain,
    ( ~ sP43
    | ( op(e3,e1) != e3
      & op(e3,e3) = e1
      & op(e1,e1) != e1
      & op(e1,e1) = e1 ) ),
    inference(nnf_transformation,[],[f97]) ).

fof(f144,plain,
    ( ~ sP42
    | ( op(e0,e2) != e0
      & op(e0,e0) = e2
      & op(e1,e1) != e2
      & op(e1,e2) = e1 ) ),
    inference(nnf_transformation,[],[f96]) ).

fof(f145,plain,
    ( ~ sP41
    | ( op(e1,e2) != e1
      & op(e1,e1) = e2
      & op(e1,e1) != e2
      & op(e1,e2) = e1 ) ),
    inference(nnf_transformation,[],[f95]) ).

fof(f146,plain,
    ( ~ sP40
    | ( op(e2,e2) != e2
      & op(e2,e2) = e2
      & op(e1,e1) != e2
      & op(e1,e2) = e1 ) ),
    inference(nnf_transformation,[],[f94]) ).

fof(f147,plain,
    ( ~ sP39
    | ( op(e3,e2) != e3
      & op(e3,e3) = e2
      & op(e1,e1) != e2
      & op(e1,e2) = e1 ) ),
    inference(nnf_transformation,[],[f93]) ).

fof(f148,plain,
    ( ~ sP38
    | ( op(e0,e3) != e0
      & op(e0,e0) = e3
      & op(e1,e1) != e3
      & op(e1,e3) = e1 ) ),
    inference(nnf_transformation,[],[f92]) ).

fof(f149,plain,
    ( ~ sP37
    | ( op(e1,e3) != e1
      & op(e1,e1) = e3
      & op(e1,e1) != e3
      & op(e1,e3) = e1 ) ),
    inference(nnf_transformation,[],[f91]) ).

fof(f150,plain,
    ( ~ sP36
    | ( op(e2,e3) != e2
      & op(e2,e2) = e3
      & op(e1,e1) != e3
      & op(e1,e3) = e1 ) ),
    inference(nnf_transformation,[],[f90]) ).

fof(f151,plain,
    ( ~ sP35
    | ( op(e3,e3) != e3
      & op(e3,e3) = e3
      & op(e1,e1) != e3
      & op(e1,e3) = e1 ) ),
    inference(nnf_transformation,[],[f89]) ).

fof(f152,plain,
    ( ~ sP34
    | ( op(e0,e0) != e0
      & op(e0,e0) = e0
      & op(e2,e2) != e0
      & op(e2,e0) = e2 ) ),
    inference(nnf_transformation,[],[f88]) ).

fof(f153,plain,
    ( ~ sP33
    | ( op(e1,e0) != e1
      & op(e1,e1) = e0
      & op(e2,e2) != e0
      & op(e2,e0) = e2 ) ),
    inference(nnf_transformation,[],[f87]) ).

fof(f154,plain,
    ( ~ sP32
    | ( op(e2,e0) != e2
      & op(e2,e2) = e0
      & op(e2,e2) != e0
      & op(e2,e0) = e2 ) ),
    inference(nnf_transformation,[],[f86]) ).

fof(f155,plain,
    ( ~ sP31
    | ( op(e3,e0) != e3
      & op(e3,e3) = e0
      & op(e2,e2) != e0
      & op(e2,e0) = e2 ) ),
    inference(nnf_transformation,[],[f85]) ).

fof(f156,plain,
    ( ~ sP30
    | ( op(e0,e1) != e0
      & op(e0,e0) = e1
      & op(e2,e2) != e1
      & op(e2,e1) = e2 ) ),
    inference(nnf_transformation,[],[f84]) ).

fof(f157,plain,
    ( ~ sP29
    | ( op(e1,e1) != e1
      & op(e1,e1) = e1
      & op(e2,e2) != e1
      & op(e2,e1) = e2 ) ),
    inference(nnf_transformation,[],[f83]) ).

fof(f158,plain,
    ( ~ sP28
    | ( op(e2,e1) != e2
      & op(e2,e2) = e1
      & op(e2,e2) != e1
      & op(e2,e1) = e2 ) ),
    inference(nnf_transformation,[],[f82]) ).

fof(f159,plain,
    ( ~ sP27
    | ( op(e3,e1) != e3
      & op(e3,e3) = e1
      & op(e2,e2) != e1
      & op(e2,e1) = e2 ) ),
    inference(nnf_transformation,[],[f81]) ).

fof(f160,plain,
    ( ~ sP26
    | ( op(e0,e2) != e0
      & op(e0,e0) = e2
      & op(e2,e2) != e2
      & op(e2,e2) = e2 ) ),
    inference(nnf_transformation,[],[f80]) ).

fof(f161,plain,
    ( ~ sP25
    | ( op(e1,e2) != e1
      & op(e1,e1) = e2
      & op(e2,e2) != e2
      & op(e2,e2) = e2 ) ),
    inference(nnf_transformation,[],[f79]) ).

fof(f162,plain,
    ( ~ sP24
    | ( op(e2,e2) != e2
      & op(e2,e2) = e2
      & op(e2,e2) != e2
      & op(e2,e2) = e2 ) ),
    inference(nnf_transformation,[],[f78]) ).

fof(f163,plain,
    ( ~ sP23
    | ( op(e3,e2) != e3
      & op(e3,e3) = e2
      & op(e2,e2) != e2
      & op(e2,e2) = e2 ) ),
    inference(nnf_transformation,[],[f77]) ).

fof(f164,plain,
    ( ~ sP22
    | ( op(e0,e3) != e0
      & op(e0,e0) = e3
      & op(e2,e2) != e3
      & op(e2,e3) = e2 ) ),
    inference(nnf_transformation,[],[f76]) ).

fof(f165,plain,
    ( ~ sP21
    | ( op(e1,e3) != e1
      & op(e1,e1) = e3
      & op(e2,e2) != e3
      & op(e2,e3) = e2 ) ),
    inference(nnf_transformation,[],[f75]) ).

fof(f166,plain,
    ( ~ sP20
    | ( op(e2,e3) != e2
      & op(e2,e2) = e3
      & op(e2,e2) != e3
      & op(e2,e3) = e2 ) ),
    inference(nnf_transformation,[],[f74]) ).

fof(f167,plain,
    ( ~ sP19
    | ( op(e3,e3) != e3
      & op(e3,e3) = e3
      & op(e2,e2) != e3
      & op(e2,e3) = e2 ) ),
    inference(nnf_transformation,[],[f73]) ).

fof(f168,plain,
    ( ~ sP18
    | ( op(e0,e0) != e0
      & op(e0,e0) = e0
      & op(e3,e3) != e0
      & op(e3,e0) = e3 ) ),
    inference(nnf_transformation,[],[f72]) ).

fof(f169,plain,
    ( ~ sP17
    | ( op(e1,e0) != e1
      & op(e1,e1) = e0
      & op(e3,e3) != e0
      & op(e3,e0) = e3 ) ),
    inference(nnf_transformation,[],[f71]) ).

fof(f170,plain,
    ( ~ sP16
    | ( op(e2,e0) != e2
      & op(e2,e2) = e0
      & op(e3,e3) != e0
      & op(e3,e0) = e3 ) ),
    inference(nnf_transformation,[],[f70]) ).

fof(f171,plain,
    ( ~ sP15
    | ( op(e3,e0) != e3
      & op(e3,e3) = e0
      & op(e3,e3) != e0
      & op(e3,e0) = e3 ) ),
    inference(nnf_transformation,[],[f69]) ).

fof(f172,plain,
    ( ~ sP14
    | ( op(e0,e1) != e0
      & op(e0,e0) = e1
      & op(e3,e3) != e1
      & op(e3,e1) = e3 ) ),
    inference(nnf_transformation,[],[f68]) ).

fof(f173,plain,
    ( ~ sP13
    | ( op(e1,e1) != e1
      & op(e1,e1) = e1
      & op(e3,e3) != e1
      & op(e3,e1) = e3 ) ),
    inference(nnf_transformation,[],[f67]) ).

fof(f174,plain,
    ( ~ sP12
    | ( op(e2,e1) != e2
      & op(e2,e2) = e1
      & op(e3,e3) != e1
      & op(e3,e1) = e3 ) ),
    inference(nnf_transformation,[],[f66]) ).

fof(f175,plain,
    ( ~ sP11
    | ( op(e3,e1) != e3
      & op(e3,e3) = e1
      & op(e3,e3) != e1
      & op(e3,e1) = e3 ) ),
    inference(nnf_transformation,[],[f65]) ).

fof(f176,plain,
    ( ~ sP10
    | ( op(e0,e2) != e0
      & op(e0,e0) = e2
      & op(e3,e3) != e2
      & op(e3,e2) = e3 ) ),
    inference(nnf_transformation,[],[f64]) ).

fof(f177,plain,
    ( ~ sP9
    | ( op(e1,e2) != e1
      & op(e1,e1) = e2
      & op(e3,e3) != e2
      & op(e3,e2) = e3 ) ),
    inference(nnf_transformation,[],[f63]) ).

fof(f178,plain,
    ( ~ sP8
    | ( op(e2,e2) != e2
      & op(e2,e2) = e2
      & op(e3,e3) != e2
      & op(e3,e2) = e3 ) ),
    inference(nnf_transformation,[],[f62]) ).

fof(f179,plain,
    ( ~ sP7
    | ( op(e3,e2) != e3
      & op(e3,e3) = e2
      & op(e3,e3) != e2
      & op(e3,e2) = e3 ) ),
    inference(nnf_transformation,[],[f61]) ).

fof(f180,plain,
    ( ~ sP6
    | ( op(e0,e3) != e0
      & op(e0,e0) = e3
      & op(e3,e3) != e3
      & op(e3,e3) = e3 ) ),
    inference(nnf_transformation,[],[f60]) ).

fof(f181,plain,
    ( ~ sP5
    | ( op(e1,e3) != e1
      & op(e1,e1) = e3
      & op(e3,e3) != e3
      & op(e3,e3) = e3 ) ),
    inference(nnf_transformation,[],[f59]) ).

fof(f182,plain,
    ( ~ sP4
    | ( op(e2,e3) != e2
      & op(e2,e2) = e3
      & op(e3,e3) != e3
      & op(e3,e3) = e3 ) ),
    inference(nnf_transformation,[],[f58]) ).

fof(f183,plain,
    ( ~ sP3
    | ( op(e3,e3) != e3
      & op(e3,e3) = e3
      & op(e3,e3) != e3
      & op(e3,e3) = e3 ) ),
    inference(nnf_transformation,[],[f57]) ).

fof(f184,plain,
    ( ~ sP2
    | ( ( op(e3,e1) = e3
        | op(e3,e3) != e1 )
      & ( op(e2,e1) = e2
        | op(e2,e2) != e1 )
      & ( op(e1,e1) = e1
        | op(e1,e1) != e1 )
      & ( op(e0,e1) = e0
        | op(e0,e0) != e1 )
      & op(e1,op(e1,e3)) = e3
      & op(e1,op(e1,e2)) = e2
      & op(e1,op(e1,e1)) = e1
      & op(e1,op(e1,e0)) = e0 ) ),
    inference(nnf_transformation,[],[f56]) ).

fof(f185,plain,
    ( ~ sP1
    | ( ( op(e3,e2) = e3
        | op(e3,e3) != e2 )
      & ( op(e2,e2) = e2
        | op(e2,e2) != e2 )
      & ( op(e1,e2) = e1
        | op(e1,e1) != e2 )
      & ( op(e0,e2) = e0
        | op(e0,e0) != e2 )
      & op(e2,op(e2,e3)) = e3
      & op(e2,op(e2,e2)) = e2
      & op(e2,op(e2,e1)) = e1
      & op(e2,op(e2,e0)) = e0 ) ),
    inference(nnf_transformation,[],[f55]) ).

fof(f187,plain,
    ( e3 = op(e3,e3)
    | e2 = op(e3,e3)
    | e1 = op(e3,e3)
    | e0 = op(e3,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f188,plain,
    ( e3 = op(e3,e2)
    | e2 = op(e3,e2)
    | e1 = op(e3,e2)
    | e0 = op(e3,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f189,plain,
    ( e3 = op(e3,e1)
    | e2 = op(e3,e1)
    | e1 = op(e3,e1)
    | e0 = op(e3,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f190,plain,
    ( e3 = op(e3,e0)
    | e2 = op(e3,e0)
    | e1 = op(e3,e0)
    | e0 = op(e3,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f191,plain,
    ( e3 = op(e2,e3)
    | e2 = op(e2,e3)
    | e1 = op(e2,e3)
    | e0 = op(e2,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f192,plain,
    ( e3 = op(e2,e2)
    | e2 = op(e2,e2)
    | e1 = op(e2,e2)
    | e0 = op(e2,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f193,plain,
    ( e3 = op(e2,e1)
    | e2 = op(e2,e1)
    | e1 = op(e2,e1)
    | e0 = op(e2,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f194,plain,
    ( e3 = op(e2,e0)
    | e2 = op(e2,e0)
    | e1 = op(e2,e0)
    | e0 = op(e2,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f195,plain,
    ( e3 = op(e1,e3)
    | e2 = op(e1,e3)
    | e1 = op(e1,e3)
    | e0 = op(e1,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f196,plain,
    ( e3 = op(e1,e2)
    | e2 = op(e1,e2)
    | e1 = op(e1,e2)
    | e0 = op(e1,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f197,plain,
    ( e3 = op(e1,e1)
    | e2 = op(e1,e1)
    | e1 = op(e1,e1)
    | e0 = op(e1,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f198,plain,
    ( e3 = op(e1,e0)
    | e2 = op(e1,e0)
    | e1 = op(e1,e0)
    | e0 = op(e1,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f199,plain,
    ( e3 = op(e0,e3)
    | e2 = op(e0,e3)
    | e1 = op(e0,e3)
    | e0 = op(e0,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f200,plain,
    ( e3 = op(e0,e2)
    | e2 = op(e0,e2)
    | e1 = op(e0,e2)
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f201,plain,
    ( e3 = op(e0,e1)
    | e2 = op(e0,e1)
    | e1 = op(e0,e1)
    | e0 = op(e0,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f202,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | op(e0,e0) = e1
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f203,plain,
    ( e3 = op(e3,e3)
    | e3 = op(e2,e3)
    | e3 = op(e1,e3)
    | e3 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f204,plain,
    ( e3 = op(e3,e3)
    | e3 = op(e3,e2)
    | e3 = op(e3,e1)
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f205,plain,
    ( e2 = op(e3,e3)
    | e2 = op(e2,e3)
    | e2 = op(e1,e3)
    | e2 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f206,plain,
    ( e2 = op(e3,e3)
    | e2 = op(e3,e2)
    | e2 = op(e3,e1)
    | e2 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f207,plain,
    ( e1 = op(e3,e3)
    | e1 = op(e2,e3)
    | e1 = op(e1,e3)
    | e1 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f208,plain,
    ( e1 = op(e3,e3)
    | e1 = op(e3,e2)
    | e1 = op(e3,e1)
    | e1 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f209,plain,
    ( e0 = op(e3,e3)
    | e0 = op(e2,e3)
    | e0 = op(e1,e3)
    | e0 = op(e0,e3) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f210,plain,
    ( e0 = op(e3,e3)
    | e0 = op(e3,e2)
    | e0 = op(e3,e1)
    | e0 = op(e3,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f211,plain,
    ( e3 = op(e3,e2)
    | e3 = op(e2,e2)
    | e3 = op(e1,e2)
    | e3 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f212,plain,
    ( e3 = op(e2,e3)
    | e3 = op(e2,e2)
    | e3 = op(e2,e1)
    | e3 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f213,plain,
    ( e2 = op(e3,e2)
    | e2 = op(e2,e2)
    | e2 = op(e1,e2)
    | e2 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f214,plain,
    ( e2 = op(e2,e3)
    | e2 = op(e2,e2)
    | e2 = op(e2,e1)
    | e2 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f215,plain,
    ( e1 = op(e3,e2)
    | e1 = op(e2,e2)
    | e1 = op(e1,e2)
    | e1 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f216,plain,
    ( e1 = op(e2,e3)
    | e1 = op(e2,e2)
    | e1 = op(e2,e1)
    | e1 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f217,plain,
    ( e0 = op(e3,e2)
    | e0 = op(e2,e2)
    | e0 = op(e1,e2)
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f218,plain,
    ( e0 = op(e2,e3)
    | e0 = op(e2,e2)
    | e0 = op(e2,e1)
    | e0 = op(e2,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f219,plain,
    ( e3 = op(e3,e1)
    | e3 = op(e2,e1)
    | e3 = op(e1,e1)
    | e3 = op(e0,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f220,plain,
    ( e3 = op(e1,e3)
    | e3 = op(e1,e2)
    | e3 = op(e1,e1)
    | e3 = op(e1,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f221,plain,
    ( e2 = op(e3,e1)
    | e2 = op(e2,e1)
    | e2 = op(e1,e1)
    | e2 = op(e0,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f222,plain,
    ( e2 = op(e1,e3)
    | e2 = op(e1,e2)
    | e2 = op(e1,e1)
    | e2 = op(e1,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f223,plain,
    ( e1 = op(e3,e1)
    | e1 = op(e2,e1)
    | e1 = op(e1,e1)
    | e1 = op(e0,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f224,plain,
    ( e1 = op(e1,e3)
    | e1 = op(e1,e2)
    | e1 = op(e1,e1)
    | e1 = op(e1,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f225,plain,
    ( e0 = op(e3,e1)
    | e0 = op(e2,e1)
    | e0 = op(e1,e1)
    | e0 = op(e0,e1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f226,plain,
    ( e0 = op(e1,e3)
    | e0 = op(e1,e2)
    | e0 = op(e1,e1)
    | e0 = op(e1,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f227,plain,
    ( e3 = op(e3,e0)
    | e3 = op(e2,e0)
    | e3 = op(e1,e0)
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f228,plain,
    ( e3 = op(e0,e3)
    | e3 = op(e0,e2)
    | e3 = op(e0,e1)
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f229,plain,
    ( e2 = op(e3,e0)
    | e2 = op(e2,e0)
    | e2 = op(e1,e0)
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f230,plain,
    ( e2 = op(e0,e3)
    | e2 = op(e0,e2)
    | e2 = op(e0,e1)
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f231,plain,
    ( e1 = op(e3,e0)
    | e1 = op(e2,e0)
    | e1 = op(e1,e0)
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f232,plain,
    ( e1 = op(e0,e3)
    | e1 = op(e0,e2)
    | e1 = op(e0,e1)
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f233,plain,
    ( e0 = op(e3,e0)
    | e0 = op(e2,e0)
    | e0 = op(e1,e0)
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f234,plain,
    ( e0 = op(e0,e3)
    | e0 = op(e0,e2)
    | e0 = op(e0,e1)
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f235,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f236,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f237,plain,
    op(e3,e1) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f238,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f239,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f240,plain,
    op(e3,e0) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f241,plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f242,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f243,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f244,plain,
    op(e2,e0) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f245,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f246,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f247,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f248,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f249,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f250,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f251,plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f252,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f253,plain,
    op(e0,e2) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f254,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f255,plain,
    op(e0,e1) != op(e0,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f256,plain,
    op(e0,e0) != op(e0,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f257,plain,
    op(e0,e0) != op(e0,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f258,plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f259,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f260,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f261,plain,
    op(e1,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f262,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f263,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f264,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[],[f3]) ).

fof(f265,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f266,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f267,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f268,plain,
    op(e0,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f269,plain,
    op(e0,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f270,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],[f3]) ).

fof(f271,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f272,plain,
    op(e1,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f273,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f274,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f275,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f276,plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[],[f3]) ).

fof(f277,plain,
    op(e2,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f278,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f279,plain,
    op(e1,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f280,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f281,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f282,plain,
    op(e0,e0) != op(e1,e0),
    inference(cnf_transformation,[],[f3]) ).

fof(f283,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f284,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f285,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f286,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f4]) ).

fof(f287,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f4]) ).

fof(f288,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f4]) ).

fof(f290,plain,
    ( ~ sP65
    | e0 = op(e1,e1) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f291,plain,
    ( ~ sP65
    | e0 != op(e0,e0) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f292,plain,
    ( ~ sP65
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f294,plain,
    ( ~ sP64
    | e0 = op(e2,e2) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f295,plain,
    ( ~ sP64
    | e0 != op(e0,e0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f296,plain,
    ( ~ sP64
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f298,plain,
    ( ~ sP63
    | e0 = op(e3,e3) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f299,plain,
    ( ~ sP63
    | e0 != op(e0,e0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f300,plain,
    ( ~ sP63
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f301,plain,
    ( ~ sP62
    | e0 != op(e0,e1) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f302,plain,
    ( ~ sP62
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f124]) ).

fof(f304,plain,
    ( ~ sP62
    | e0 = op(e0,e1) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f305,plain,
    ( ~ sP61
    | e1 != op(e1,e1) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f306,plain,
    ( ~ sP61
    | e1 = op(e1,e1) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f309,plain,
    ( ~ sP60
    | e2 != op(e2,e1) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f310,plain,
    ( ~ sP60
    | e1 = op(e2,e2) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f311,plain,
    ( ~ sP60
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[],[f126]) ).

fof(f312,plain,
    ( ~ sP60
    | e0 = op(e0,e1) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f313,plain,
    ( ~ sP59
    | e3 != op(e3,e1) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f314,plain,
    ( ~ sP59
    | e1 = op(e3,e3) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f315,plain,
    ( ~ sP59
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[],[f127]) ).

fof(f316,plain,
    ( ~ sP59
    | e0 = op(e0,e1) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f317,plain,
    ( ~ sP58
    | e0 != op(e0,e2) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f318,plain,
    ( ~ sP58
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f128]) ).

fof(f320,plain,
    ( ~ sP58
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f321,plain,
    ( ~ sP57
    | e1 != op(e1,e2) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f322,plain,
    ( ~ sP57
    | e2 = op(e1,e1) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f323,plain,
    ( ~ sP57
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[],[f129]) ).

fof(f324,plain,
    ( ~ sP57
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f325,plain,
    ( ~ sP56
    | e2 != op(e2,e2) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f326,plain,
    ( ~ sP56
    | e2 = op(e2,e2) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f329,plain,
    ( ~ sP55
    | e3 != op(e3,e2) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f330,plain,
    ( ~ sP55
    | e2 = op(e3,e3) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f331,plain,
    ( ~ sP55
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[],[f131]) ).

fof(f332,plain,
    ( ~ sP55
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f333,plain,
    ( ~ sP54
    | e0 != op(e0,e3) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f334,plain,
    ( ~ sP54
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f132]) ).

fof(f336,plain,
    ( ~ sP54
    | e0 = op(e0,e3) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f337,plain,
    ( ~ sP53
    | e1 != op(e1,e3) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f338,plain,
    ( ~ sP53
    | e3 = op(e1,e1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f339,plain,
    ( ~ sP53
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f133]) ).

fof(f340,plain,
    ( ~ sP53
    | e0 = op(e0,e3) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f341,plain,
    ( ~ sP52
    | e2 != op(e2,e3) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f342,plain,
    ( ~ sP52
    | e3 = op(e2,e2) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f343,plain,
    ( ~ sP52
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f134]) ).

fof(f344,plain,
    ( ~ sP52
    | e0 = op(e0,e3) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f345,plain,
    ( ~ sP51
    | e3 != op(e3,e3) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f346,plain,
    ( ~ sP51
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f349,plain,
    ( ~ sP50
    | e0 != op(e0,e0) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f350,plain,
    ( ~ sP50
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f353,plain,
    ( ~ sP49
    | e1 != op(e1,e0) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f354,plain,
    ( ~ sP49
    | e0 = op(e1,e1) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f356,plain,
    ( ~ sP49
    | e1 = op(e1,e0) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f357,plain,
    ( ~ sP48
    | e2 != op(e2,e0) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f358,plain,
    ( ~ sP48
    | e0 = op(e2,e2) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f359,plain,
    ( ~ sP48
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f360,plain,
    ( ~ sP48
    | e1 = op(e1,e0) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f361,plain,
    ( ~ sP47
    | e3 != op(e3,e0) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f362,plain,
    ( ~ sP47
    | e0 = op(e3,e3) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f363,plain,
    ( ~ sP47
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f364,plain,
    ( ~ sP47
    | e1 = op(e1,e0) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f366,plain,
    ( ~ sP46
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f140]) ).

fof(f367,plain,
    ( ~ sP46
    | e1 != op(e1,e1) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f368,plain,
    ( ~ sP46
    | e1 = op(e1,e1) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f369,plain,
    ( ~ sP45
    | e1 != op(e1,e1) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f370,plain,
    ( ~ sP45
    | e1 = op(e1,e1) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f374,plain,
    ( ~ sP44
    | e1 = op(e2,e2) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f375,plain,
    ( ~ sP44
    | e1 != op(e1,e1) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f376,plain,
    ( ~ sP44
    | e1 = op(e1,e1) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f378,plain,
    ( ~ sP43
    | e1 = op(e3,e3) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f379,plain,
    ( ~ sP43
    | e1 != op(e1,e1) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f380,plain,
    ( ~ sP43
    | e1 = op(e1,e1) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f381,plain,
    ( ~ sP42
    | e0 != op(e0,e2) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f382,plain,
    ( ~ sP42
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f144]) ).

fof(f383,plain,
    ( ~ sP42
    | e2 != op(e1,e1) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f384,plain,
    ( ~ sP42
    | e1 = op(e1,e2) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f385,plain,
    ( ~ sP41
    | e1 != op(e1,e2) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f386,plain,
    ( ~ sP41
    | e2 = op(e1,e1) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f388,plain,
    ( ~ sP41
    | e1 = op(e1,e2) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f389,plain,
    ( ~ sP40
    | e2 != op(e2,e2) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f390,plain,
    ( ~ sP40
    | e2 = op(e2,e2) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f393,plain,
    ( ~ sP39
    | e3 != op(e3,e2) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f394,plain,
    ( ~ sP39
    | e2 = op(e3,e3) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f395,plain,
    ( ~ sP39
    | e2 != op(e1,e1) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f396,plain,
    ( ~ sP39
    | e1 = op(e1,e2) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f397,plain,
    ( ~ sP38
    | e0 != op(e0,e3) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f398,plain,
    ( ~ sP38
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f148]) ).

fof(f399,plain,
    ( ~ sP38
    | e3 != op(e1,e1) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f400,plain,
    ( ~ sP38
    | e1 = op(e1,e3) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f401,plain,
    ( ~ sP37
    | e1 != op(e1,e3) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f402,plain,
    ( ~ sP37
    | e3 = op(e1,e1) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f404,plain,
    ( ~ sP37
    | e1 = op(e1,e3) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f405,plain,
    ( ~ sP36
    | e2 != op(e2,e3) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f406,plain,
    ( ~ sP36
    | e3 = op(e2,e2) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f407,plain,
    ( ~ sP36
    | e3 != op(e1,e1) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f408,plain,
    ( ~ sP36
    | e1 = op(e1,e3) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f409,plain,
    ( ~ sP35
    | e3 != op(e3,e3) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f410,plain,
    ( ~ sP35
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f413,plain,
    ( ~ sP34
    | e0 != op(e0,e0) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f414,plain,
    ( ~ sP34
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f417,plain,
    ( ~ sP33
    | e1 != op(e1,e0) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f418,plain,
    ( ~ sP33
    | e0 = op(e1,e1) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f419,plain,
    ( ~ sP33
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f420,plain,
    ( ~ sP33
    | e2 = op(e2,e0) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f421,plain,
    ( ~ sP32
    | e2 != op(e2,e0) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f422,plain,
    ( ~ sP32
    | e0 = op(e2,e2) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f424,plain,
    ( ~ sP32
    | e2 = op(e2,e0) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f425,plain,
    ( ~ sP31
    | e3 != op(e3,e0) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f426,plain,
    ( ~ sP31
    | e0 = op(e3,e3) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f427,plain,
    ( ~ sP31
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f428,plain,
    ( ~ sP31
    | e2 = op(e2,e0) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f429,plain,
    ( ~ sP30
    | e0 != op(e0,e1) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f430,plain,
    ( ~ sP30
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f156]) ).

fof(f431,plain,
    ( ~ sP30
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f432,plain,
    ( ~ sP30
    | e2 = op(e2,e1) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f433,plain,
    ( ~ sP29
    | e1 != op(e1,e1) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f434,plain,
    ( ~ sP29
    | e1 = op(e1,e1) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f437,plain,
    ( ~ sP28
    | e2 != op(e2,e1) ),
    inference(cnf_transformation,[],[f158]) ).

fof(f438,plain,
    ( ~ sP28
    | e1 = op(e2,e2) ),
    inference(cnf_transformation,[],[f158]) ).

fof(f440,plain,
    ( ~ sP28
    | e2 = op(e2,e1) ),
    inference(cnf_transformation,[],[f158]) ).

fof(f441,plain,
    ( ~ sP27
    | e3 != op(e3,e1) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f442,plain,
    ( ~ sP27
    | e1 = op(e3,e3) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f443,plain,
    ( ~ sP27
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f444,plain,
    ( ~ sP27
    | e2 = op(e2,e1) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f446,plain,
    ( ~ sP26
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f160]) ).

fof(f447,plain,
    ( ~ sP26
    | e2 != op(e2,e2) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f448,plain,
    ( ~ sP26
    | e2 = op(e2,e2) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f450,plain,
    ( ~ sP25
    | e2 = op(e1,e1) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f451,plain,
    ( ~ sP25
    | e2 != op(e2,e2) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f452,plain,
    ( ~ sP25
    | e2 = op(e2,e2) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f453,plain,
    ( ~ sP24
    | e2 != op(e2,e2) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f454,plain,
    ( ~ sP24
    | e2 = op(e2,e2) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f458,plain,
    ( ~ sP23
    | e2 = op(e3,e3) ),
    inference(cnf_transformation,[],[f163]) ).

fof(f459,plain,
    ( ~ sP23
    | e2 != op(e2,e2) ),
    inference(cnf_transformation,[],[f163]) ).

fof(f460,plain,
    ( ~ sP23
    | e2 = op(e2,e2) ),
    inference(cnf_transformation,[],[f163]) ).

fof(f461,plain,
    ( ~ sP22
    | e0 != op(e0,e3) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f462,plain,
    ( ~ sP22
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f164]) ).

fof(f463,plain,
    ( ~ sP22
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f464,plain,
    ( ~ sP22
    | e2 = op(e2,e3) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f465,plain,
    ( ~ sP21
    | e1 != op(e1,e3) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f466,plain,
    ( ~ sP21
    | e3 = op(e1,e1) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f467,plain,
    ( ~ sP21
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f468,plain,
    ( ~ sP21
    | e2 = op(e2,e3) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f469,plain,
    ( ~ sP20
    | e2 != op(e2,e3) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f470,plain,
    ( ~ sP20
    | e3 = op(e2,e2) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f472,plain,
    ( ~ sP20
    | e2 = op(e2,e3) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f473,plain,
    ( ~ sP19
    | e3 != op(e3,e3) ),
    inference(cnf_transformation,[],[f167]) ).

fof(f474,plain,
    ( ~ sP19
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f167]) ).

fof(f477,plain,
    ( ~ sP18
    | e0 != op(e0,e0) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f478,plain,
    ( ~ sP18
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f481,plain,
    ( ~ sP17
    | e1 != op(e1,e0) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f482,plain,
    ( ~ sP17
    | e0 = op(e1,e1) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f483,plain,
    ( ~ sP17
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f484,plain,
    ( ~ sP17
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f485,plain,
    ( ~ sP16
    | e2 != op(e2,e0) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f486,plain,
    ( ~ sP16
    | e0 = op(e2,e2) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f487,plain,
    ( ~ sP16
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f488,plain,
    ( ~ sP16
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f489,plain,
    ( ~ sP15
    | e3 != op(e3,e0) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f490,plain,
    ( ~ sP15
    | e0 = op(e3,e3) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f492,plain,
    ( ~ sP15
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f493,plain,
    ( ~ sP14
    | e0 != op(e0,e1) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f494,plain,
    ( ~ sP14
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f172]) ).

fof(f495,plain,
    ( ~ sP14
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f496,plain,
    ( ~ sP14
    | e3 = op(e3,e1) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f497,plain,
    ( ~ sP13
    | e1 != op(e1,e1) ),
    inference(cnf_transformation,[],[f173]) ).

fof(f498,plain,
    ( ~ sP13
    | e1 = op(e1,e1) ),
    inference(cnf_transformation,[],[f173]) ).

fof(f501,plain,
    ( ~ sP12
    | e2 != op(e2,e1) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f502,plain,
    ( ~ sP12
    | e1 = op(e2,e2) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f503,plain,
    ( ~ sP12
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f504,plain,
    ( ~ sP12
    | e3 = op(e3,e1) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f505,plain,
    ( ~ sP11
    | e3 != op(e3,e1) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f506,plain,
    ( ~ sP11
    | e1 = op(e3,e3) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f508,plain,
    ( ~ sP11
    | e3 = op(e3,e1) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f509,plain,
    ( ~ sP10
    | e0 != op(e0,e2) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f510,plain,
    ( ~ sP10
    | op(e0,e0) = e2 ),
    inference(cnf_transformation,[],[f176]) ).

fof(f511,plain,
    ( ~ sP10
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f512,plain,
    ( ~ sP10
    | e3 = op(e3,e2) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f513,plain,
    ( ~ sP9
    | e1 != op(e1,e2) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f514,plain,
    ( ~ sP9
    | e2 = op(e1,e1) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f515,plain,
    ( ~ sP9
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f516,plain,
    ( ~ sP9
    | e3 = op(e3,e2) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f517,plain,
    ( ~ sP8
    | e2 != op(e2,e2) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f518,plain,
    ( ~ sP8
    | e2 = op(e2,e2) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f521,plain,
    ( ~ sP7
    | e3 != op(e3,e2) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f522,plain,
    ( ~ sP7
    | e2 = op(e3,e3) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f524,plain,
    ( ~ sP7
    | e3 = op(e3,e2) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f526,plain,
    ( ~ sP6
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[],[f180]) ).

fof(f527,plain,
    ( ~ sP6
    | e3 != op(e3,e3) ),
    inference(cnf_transformation,[],[f180]) ).

fof(f528,plain,
    ( ~ sP6
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f180]) ).

fof(f530,plain,
    ( ~ sP5
    | e3 = op(e1,e1) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f531,plain,
    ( ~ sP5
    | e3 != op(e3,e3) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f532,plain,
    ( ~ sP5
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f534,plain,
    ( ~ sP4
    | e3 = op(e2,e2) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f535,plain,
    ( ~ sP4
    | e3 != op(e3,e3) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f536,plain,
    ( ~ sP4
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f537,plain,
    ( ~ sP3
    | e3 != op(e3,e3) ),
    inference(cnf_transformation,[],[f183]) ).

fof(f538,plain,
    ( ~ sP3
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f183]) ).

fof(f541,plain,
    ( ~ sP2
    | e3 = op(e3,e1)
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f542,plain,
    ( ~ sP2
    | e2 = op(e2,e1)
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f544,plain,
    ( ~ sP2
    | e0 = op(e0,e1)
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[],[f184]) ).

fof(f545,plain,
    ( ~ sP2
    | e3 = op(e1,op(e1,e3)) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f546,plain,
    ( ~ sP2
    | e2 = op(e1,op(e1,e2)) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f547,plain,
    ( ~ sP2
    | e1 = op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f548,plain,
    ( ~ sP2
    | e0 = op(e1,op(e1,e0)) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f549,plain,
    ( ~ sP1
    | e3 = op(e3,e2)
    | e2 != op(e3,e3) ),
    inference(cnf_transformation,[],[f185]) ).

fof(f551,plain,
    ( ~ sP1
    | e1 = op(e1,e2)
    | e2 != op(e1,e1) ),
    inference(cnf_transformation,[],[f185]) ).

fof(f552,plain,
    ( ~ sP1
    | e0 = op(e0,e2)
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[],[f185]) ).

fof(f553,plain,
    ( ~ sP1
    | e3 = op(e2,op(e2,e3)) ),
    inference(cnf_transformation,[],[f185]) ).

fof(f554,plain,
    ( ~ sP1
    | e2 = op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f185]) ).

fof(f555,plain,
    ( ~ sP1
    | e1 = op(e2,op(e2,e1)) ),
    inference(cnf_transformation,[],[f185]) ).

fof(f556,plain,
    ( ~ sP1
    | e0 = op(e2,op(e2,e0)) ),
    inference(cnf_transformation,[],[f185]) ).

fof(f565,plain,
    ( sP0
    | sP1
    | sP2
    | e3 = op(e3,e0)
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f566,plain,
    ( sP0
    | sP1
    | sP2
    | e2 = op(e2,e0)
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f567,plain,
    ( sP0
    | sP1
    | sP2
    | e1 = op(e1,e0)
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f569,plain,
    ( sP0
    | sP1
    | sP2
    | e3 = op(e0,op(e0,e3)) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f570,plain,
    ( sP0
    | sP1
    | sP2
    | e2 = op(e0,op(e0,e2)) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f571,plain,
    ( sP0
    | sP1
    | sP2
    | e1 = op(e0,op(e0,e1)) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f572,plain,
    ( sP0
    | sP1
    | sP2
    | e0 = op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f573,plain,
    ( sP3
    | sP4
    | sP5
    | sP6
    | sP7
    | sP8
    | sP9
    | sP10
    | sP11
    | sP12
    | sP13
    | sP14
    | sP15
    | sP16
    | sP17
    | sP18
    | sP19
    | sP20
    | sP21
    | sP22
    | sP23
    | sP24
    | sP25
    | sP26
    | sP27
    | sP28
    | sP29
    | sP30
    | sP31
    | sP32
    | sP33
    | sP34
    | sP35
    | sP36
    | sP37
    | sP38
    | sP39
    | sP40
    | sP41
    | sP42
    | sP43
    | sP44
    | sP45
    | sP46
    | sP47
    | sP48
    | sP49
    | sP50
    | sP51
    | sP52
    | sP53
    | sP54
    | sP55
    | sP56
    | sP57
    | sP58
    | sP59
    | sP60
    | sP61
    | sP62
    | sP63
    | sP64
    | sP65
    | e0 != op(e0,e0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f574,plain,
    ( sP3
    | sP4
    | sP5
    | sP6
    | sP7
    | sP8
    | sP9
    | sP10
    | sP11
    | sP12
    | sP13
    | sP14
    | sP15
    | sP16
    | sP17
    | sP18
    | sP19
    | sP20
    | sP21
    | sP22
    | sP23
    | sP24
    | sP25
    | sP26
    | sP27
    | sP28
    | sP29
    | sP30
    | sP31
    | sP32
    | sP33
    | sP34
    | sP35
    | sP36
    | sP37
    | sP38
    | sP39
    | sP40
    | sP41
    | sP42
    | sP43
    | sP44
    | sP45
    | sP46
    | sP47
    | sP48
    | sP49
    | sP50
    | sP51
    | sP52
    | sP53
    | sP54
    | sP55
    | sP56
    | sP57
    | sP58
    | sP59
    | sP60
    | sP61
    | sP62
    | sP63
    | sP64
    | sP65
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f575,plain,
    ( sP3
    | sP4
    | sP5
    | sP6
    | sP7
    | sP8
    | sP9
    | sP10
    | sP11
    | sP12
    | sP13
    | sP14
    | sP15
    | sP16
    | sP17
    | sP18
    | sP19
    | sP20
    | sP21
    | sP22
    | sP23
    | sP24
    | sP25
    | sP26
    | sP27
    | sP28
    | sP29
    | sP30
    | sP31
    | sP32
    | sP33
    | sP34
    | sP35
    | sP36
    | sP37
    | sP38
    | sP39
    | sP40
    | sP41
    | sP42
    | sP43
    | sP44
    | sP45
    | sP46
    | sP47
    | sP48
    | sP49
    | sP50
    | sP51
    | sP52
    | sP53
    | sP54
    | sP55
    | sP56
    | sP57
    | sP58
    | sP59
    | sP60
    | sP61
    | sP62
    | sP63
    | sP64
    | sP65
    | e0 != op(e0,e0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f577,plain,
    ( op(e0,e0) != e3
    | e2 != op(op(e0,e0),e0)
    | e1 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f578,plain,
    ( op(e0,e0) != e2
    | e3 != op(op(e0,e0),e0)
    | e1 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f579,plain,
    ( op(e0,e0) != e3
    | e1 != op(op(e0,e0),e0)
    | e2 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f580,plain,
    ( op(e0,e0) != e1
    | e3 != op(op(e0,e0),e0)
    | e2 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f581,plain,
    ( op(e0,e0) != e2
    | e1 != op(op(e0,e0),e0)
    | e3 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f582,plain,
    ( op(e0,e0) != e1
    | e2 != op(op(e0,e0),e0)
    | e3 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f583,plain,
    ( e3 != op(e1,e1)
    | e2 != op(op(e1,e1),e1)
    | e0 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f584,plain,
    ( e2 != op(e1,e1)
    | e3 != op(op(e1,e1),e1)
    | e0 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f585,plain,
    ( e3 != op(e1,e1)
    | e0 != op(op(e1,e1),e1)
    | e2 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f586,plain,
    ( e0 != op(e1,e1)
    | e3 != op(op(e1,e1),e1)
    | e2 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f587,plain,
    ( e2 != op(e1,e1)
    | e0 != op(op(e1,e1),e1)
    | e3 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f588,plain,
    ( e0 != op(e1,e1)
    | e2 != op(op(e1,e1),e1)
    | e3 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f589,plain,
    ( e3 != op(e2,e2)
    | e1 != op(op(e2,e2),e2)
    | e0 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f590,plain,
    ( e1 != op(e2,e2)
    | e3 != op(op(e2,e2),e2)
    | e0 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f591,plain,
    ( e3 != op(e2,e2)
    | e0 != op(op(e2,e2),e2)
    | e1 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f592,plain,
    ( e0 != op(e2,e2)
    | e3 != op(op(e2,e2),e2)
    | e1 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f593,plain,
    ( e1 != op(e2,e2)
    | e0 != op(op(e2,e2),e2)
    | e3 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f594,plain,
    ( e0 != op(e2,e2)
    | e1 != op(op(e2,e2),e2)
    | e3 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f595,plain,
    ( e2 != op(e3,e3)
    | e1 != op(op(e3,e3),e3)
    | e0 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f596,plain,
    ( e1 != op(e3,e3)
    | e2 != op(op(e3,e3),e3)
    | e0 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f597,plain,
    ( e2 != op(e3,e3)
    | e0 != op(op(e3,e3),e3)
    | e1 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f598,plain,
    ( e0 != op(e3,e3)
    | e2 != op(op(e3,e3),e3)
    | e1 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f599,plain,
    ( e1 != op(e3,e3)
    | e0 != op(op(e3,e3),e3)
    | e2 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f600,plain,
    ( e0 != op(e3,e3)
    | e1 != op(op(e3,e3),e3)
    | e2 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_49,plain,
    ( ( op(e0,e0) = e3 )
    | ( op(e0,e0) = e2 )
    | ( op(e0,e0) = e1 )
    | ( op(e0,e0) = e0 ) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_50,plain,
    ( ( op(e0,e1) = e3 )
    | ( op(e0,e1) = e2 )
    | ( op(e0,e1) = e1 )
    | ( op(e0,e1) = e0 ) ),
    inference(cnf_transformation,[],[f201]) ).

tcf(c_51,plain,
    ( ( op(e0,e2) = e3 )
    | ( op(e0,e2) = e2 )
    | ( op(e0,e2) = e1 )
    | ( op(e0,e2) = e0 ) ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_52,plain,
    ( ( op(e0,e3) = e3 )
    | ( op(e0,e3) = e2 )
    | ( op(e0,e3) = e1 )
    | ( op(e0,e3) = e0 ) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_53,plain,
    ( ( op(e1,e0) = e3 )
    | ( op(e1,e0) = e2 )
    | ( op(e1,e0) = e1 )
    | ( op(e1,e0) = e0 ) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_54,plain,
    ( ( op(e1,e1) = e3 )
    | ( op(e1,e1) = e2 )
    | ( op(e1,e1) = e1 )
    | ( op(e1,e1) = e0 ) ),
    inference(cnf_transformation,[],[f197]) ).

tcf(c_55,plain,
    ( ( op(e1,e2) = e3 )
    | ( op(e1,e2) = e2 )
    | ( op(e1,e2) = e1 )
    | ( op(e1,e2) = e0 ) ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_56,plain,
    ( ( op(e1,e3) = e3 )
    | ( op(e1,e3) = e2 )
    | ( op(e1,e3) = e1 )
    | ( op(e1,e3) = e0 ) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_57,plain,
    ( ( op(e2,e0) = e3 )
    | ( op(e2,e0) = e2 )
    | ( op(e2,e0) = e1 )
    | ( op(e2,e0) = e0 ) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_58,plain,
    ( ( op(e2,e1) = e3 )
    | ( op(e2,e1) = e2 )
    | ( op(e2,e1) = e1 )
    | ( op(e2,e1) = e0 ) ),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_59,plain,
    ( ( op(e2,e2) = e3 )
    | ( op(e2,e2) = e2 )
    | ( op(e2,e2) = e1 )
    | ( op(e2,e2) = e0 ) ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_60,plain,
    ( ( op(e2,e3) = e3 )
    | ( op(e2,e3) = e2 )
    | ( op(e2,e3) = e1 )
    | ( op(e2,e3) = e0 ) ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_61,plain,
    ( ( op(e3,e0) = e3 )
    | ( op(e3,e0) = e2 )
    | ( op(e3,e0) = e1 )
    | ( op(e3,e0) = e0 ) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_62,plain,
    ( ( op(e3,e1) = e3 )
    | ( op(e3,e1) = e2 )
    | ( op(e3,e1) = e1 )
    | ( op(e3,e1) = e0 ) ),
    inference(cnf_transformation,[],[f189]) ).

tcf(c_63,plain,
    ( ( op(e3,e2) = e3 )
    | ( op(e3,e2) = e2 )
    | ( op(e3,e2) = e1 )
    | ( op(e3,e2) = e0 ) ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_64,plain,
    ( ( op(e3,e3) = e3 )
    | ( op(e3,e3) = e2 )
    | ( op(e3,e3) = e1 )
    | ( op(e3,e3) = e0 ) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_65,plain,
    ( ( op(e0,e3) = e0 )
    | ( op(e0,e2) = e0 )
    | ( op(e0,e1) = e0 )
    | ( op(e0,e0) = e0 ) ),
    inference(cnf_transformation,[],[f234]) ).

tcf(c_66,plain,
    ( ( op(e3,e0) = e0 )
    | ( op(e2,e0) = e0 )
    | ( op(e1,e0) = e0 )
    | ( op(e0,e0) = e0 ) ),
    inference(cnf_transformation,[],[f233]) ).

tcf(c_67,plain,
    ( ( op(e0,e3) = e1 )
    | ( op(e0,e2) = e1 )
    | ( op(e0,e1) = e1 )
    | ( op(e0,e0) = e1 ) ),
    inference(cnf_transformation,[],[f232]) ).

tcf(c_68,plain,
    ( ( op(e3,e0) = e1 )
    | ( op(e2,e0) = e1 )
    | ( op(e1,e0) = e1 )
    | ( op(e0,e0) = e1 ) ),
    inference(cnf_transformation,[],[f231]) ).

tcf(c_69,plain,
    ( ( op(e0,e3) = e2 )
    | ( op(e0,e2) = e2 )
    | ( op(e0,e1) = e2 )
    | ( op(e0,e0) = e2 ) ),
    inference(cnf_transformation,[],[f230]) ).

tcf(c_70,plain,
    ( ( op(e3,e0) = e2 )
    | ( op(e2,e0) = e2 )
    | ( op(e1,e0) = e2 )
    | ( op(e0,e0) = e2 ) ),
    inference(cnf_transformation,[],[f229]) ).

tcf(c_71,plain,
    ( ( op(e0,e3) = e3 )
    | ( op(e0,e2) = e3 )
    | ( op(e0,e1) = e3 )
    | ( op(e0,e0) = e3 ) ),
    inference(cnf_transformation,[],[f228]) ).

tcf(c_72,plain,
    ( ( op(e3,e0) = e3 )
    | ( op(e2,e0) = e3 )
    | ( op(e1,e0) = e3 )
    | ( op(e0,e0) = e3 ) ),
    inference(cnf_transformation,[],[f227]) ).

tcf(c_73,plain,
    ( ( op(e1,e3) = e0 )
    | ( op(e1,e2) = e0 )
    | ( op(e1,e1) = e0 )
    | ( op(e1,e0) = e0 ) ),
    inference(cnf_transformation,[],[f226]) ).

tcf(c_74,plain,
    ( ( op(e3,e1) = e0 )
    | ( op(e2,e1) = e0 )
    | ( op(e1,e1) = e0 )
    | ( op(e0,e1) = e0 ) ),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_75,plain,
    ( ( op(e1,e3) = e1 )
    | ( op(e1,e2) = e1 )
    | ( op(e1,e1) = e1 )
    | ( op(e1,e0) = e1 ) ),
    inference(cnf_transformation,[],[f224]) ).

tcf(c_76,plain,
    ( ( op(e3,e1) = e1 )
    | ( op(e2,e1) = e1 )
    | ( op(e1,e1) = e1 )
    | ( op(e0,e1) = e1 ) ),
    inference(cnf_transformation,[],[f223]) ).

tcf(c_77,plain,
    ( ( op(e1,e3) = e2 )
    | ( op(e1,e2) = e2 )
    | ( op(e1,e1) = e2 )
    | ( op(e1,e0) = e2 ) ),
    inference(cnf_transformation,[],[f222]) ).

tcf(c_78,plain,
    ( ( op(e3,e1) = e2 )
    | ( op(e2,e1) = e2 )
    | ( op(e1,e1) = e2 )
    | ( op(e0,e1) = e2 ) ),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_79,plain,
    ( ( op(e1,e3) = e3 )
    | ( op(e1,e2) = e3 )
    | ( op(e1,e1) = e3 )
    | ( op(e1,e0) = e3 ) ),
    inference(cnf_transformation,[],[f220]) ).

tcf(c_80,plain,
    ( ( op(e3,e1) = e3 )
    | ( op(e2,e1) = e3 )
    | ( op(e1,e1) = e3 )
    | ( op(e0,e1) = e3 ) ),
    inference(cnf_transformation,[],[f219]) ).

tcf(c_81,plain,
    ( ( op(e2,e3) = e0 )
    | ( op(e2,e2) = e0 )
    | ( op(e2,e1) = e0 )
    | ( op(e2,e0) = e0 ) ),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_82,plain,
    ( ( op(e3,e2) = e0 )
    | ( op(e2,e2) = e0 )
    | ( op(e1,e2) = e0 )
    | ( op(e0,e2) = e0 ) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_83,plain,
    ( ( op(e2,e3) = e1 )
    | ( op(e2,e2) = e1 )
    | ( op(e2,e1) = e1 )
    | ( op(e2,e0) = e1 ) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_84,plain,
    ( ( op(e3,e2) = e1 )
    | ( op(e2,e2) = e1 )
    | ( op(e1,e2) = e1 )
    | ( op(e0,e2) = e1 ) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_85,plain,
    ( ( op(e2,e3) = e2 )
    | ( op(e2,e2) = e2 )
    | ( op(e2,e1) = e2 )
    | ( op(e2,e0) = e2 ) ),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_86,plain,
    ( ( op(e3,e2) = e2 )
    | ( op(e2,e2) = e2 )
    | ( op(e1,e2) = e2 )
    | ( op(e0,e2) = e2 ) ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_87,plain,
    ( ( op(e2,e3) = e3 )
    | ( op(e2,e2) = e3 )
    | ( op(e2,e1) = e3 )
    | ( op(e2,e0) = e3 ) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_88,plain,
    ( ( op(e3,e2) = e3 )
    | ( op(e2,e2) = e3 )
    | ( op(e1,e2) = e3 )
    | ( op(e0,e2) = e3 ) ),
    inference(cnf_transformation,[],[f211]) ).

tcf(c_89,plain,
    ( ( op(e3,e3) = e0 )
    | ( op(e3,e2) = e0 )
    | ( op(e3,e1) = e0 )
    | ( op(e3,e0) = e0 ) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_90,plain,
    ( ( op(e3,e3) = e0 )
    | ( op(e2,e3) = e0 )
    | ( op(e1,e3) = e0 )
    | ( op(e0,e3) = e0 ) ),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_91,plain,
    ( ( op(e3,e3) = e1 )
    | ( op(e3,e2) = e1 )
    | ( op(e3,e1) = e1 )
    | ( op(e3,e0) = e1 ) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_92,plain,
    ( ( op(e3,e3) = e1 )
    | ( op(e2,e3) = e1 )
    | ( op(e1,e3) = e1 )
    | ( op(e0,e3) = e1 ) ),
    inference(cnf_transformation,[],[f207]) ).

tcf(c_93,plain,
    ( ( op(e3,e3) = e2 )
    | ( op(e3,e2) = e2 )
    | ( op(e3,e1) = e2 )
    | ( op(e3,e0) = e2 ) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_94,plain,
    ( ( op(e3,e3) = e2 )
    | ( op(e2,e3) = e2 )
    | ( op(e1,e3) = e2 )
    | ( op(e0,e3) = e2 ) ),
    inference(cnf_transformation,[],[f205]) ).

tcf(c_95,plain,
    ( ( op(e3,e3) = e3 )
    | ( op(e3,e2) = e3 )
    | ( op(e3,e1) = e3 )
    | ( op(e3,e0) = e3 ) ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_96,plain,
    ( ( op(e3,e3) = e3 )
    | ( op(e2,e3) = e3 )
    | ( op(e1,e3) = e3 )
    | ( op(e0,e3) = e3 ) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_97,plain,
    op(e0,e0) != op(e1,e0),
    inference(cnf_transformation,[],[f282]) ).

tcf(c_98,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f281]) ).

tcf(c_99,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f280]) ).

tcf(c_100,plain,
    op(e1,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f279]) ).

tcf(c_101,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f278]) ).

tcf(c_102,plain,
    op(e2,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f277]) ).

tcf(c_103,plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[],[f276]) ).

tcf(c_104,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f275]) ).

tcf(c_105,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f274]) ).

tcf(c_106,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f273]) ).

tcf(c_107,plain,
    op(e1,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f272]) ).

tcf(c_108,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f271]) ).

tcf(c_109,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],[f270]) ).

tcf(c_110,plain,
    op(e0,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f269]) ).

tcf(c_111,plain,
    op(e0,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f268]) ).

tcf(c_112,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f267]) ).

tcf(c_113,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f266]) ).

tcf(c_114,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f265]) ).

tcf(c_115,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[],[f264]) ).

tcf(c_116,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f263]) ).

tcf(c_117,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f262]) ).

tcf(c_118,plain,
    op(e1,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f261]) ).

tcf(c_119,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f260]) ).

tcf(c_120,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f259]) ).

tcf(c_121,plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[],[f258]) ).

tcf(c_122,plain,
    op(e0,e0) != op(e0,e2),
    inference(cnf_transformation,[],[f257]) ).

tcf(c_123,plain,
    op(e0,e0) != op(e0,e3),
    inference(cnf_transformation,[],[f256]) ).

tcf(c_124,plain,
    op(e0,e1) != op(e0,e2),
    inference(cnf_transformation,[],[f255]) ).

tcf(c_125,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],[f254]) ).

tcf(c_126,plain,
    op(e0,e2) != op(e0,e3),
    inference(cnf_transformation,[],[f253]) ).

tcf(c_127,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[],[f252]) ).

tcf(c_128,plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[],[f251]) ).

tcf(c_129,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f250]) ).

tcf(c_130,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f249]) ).

tcf(c_131,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f248]) ).

tcf(c_132,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[],[f247]) ).

tcf(c_133,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[],[f246]) ).

tcf(c_134,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[],[f245]) ).

tcf(c_135,plain,
    op(e2,e0) != op(e2,e3),
    inference(cnf_transformation,[],[f244]) ).

tcf(c_136,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f243]) ).

tcf(c_137,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[],[f242]) ).

tcf(c_138,plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[],[f241]) ).

tcf(c_139,plain,
    op(e3,e0) != op(e3,e1),
    inference(cnf_transformation,[],[f240]) ).

tcf(c_140,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[],[f239]) ).

tcf(c_141,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[],[f238]) ).

tcf(c_142,plain,
    op(e3,e1) != op(e3,e2),
    inference(cnf_transformation,[],[f237]) ).

tcf(c_143,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f236]) ).

tcf(c_144,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f235]) ).

tcf(c_145,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f288]) ).

tcf(c_146,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f287]) ).

tcf(c_147,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f286]) ).

tcf(c_148,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f285]) ).

tcf(c_149,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f284]) ).

tcf(c_150,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f283]) ).

tcf(c_151,plain,
    ( ( op(e0,e0) = e0 )
    | ~ sP65 ),
    inference(cnf_transformation,[],[f292]) ).

tcf(c_152,plain,
    ( ~ sP65
    | ( op(e0,e0) != e0 ) ),
    inference(cnf_transformation,[],[f291]) ).

tcf(c_153,plain,
    ( ( op(e1,e1) = e0 )
    | ~ sP65 ),
    inference(cnf_transformation,[],[f290]) ).

tcf(c_155,plain,
    ( ( op(e0,e0) = e0 )
    | ~ sP64 ),
    inference(cnf_transformation,[],[f296]) ).

tcf(c_156,plain,
    ( ~ sP64
    | ( op(e0,e0) != e0 ) ),
    inference(cnf_transformation,[],[f295]) ).

tcf(c_157,plain,
    ( ( op(e2,e2) = e0 )
    | ~ sP64 ),
    inference(cnf_transformation,[],[f294]) ).

tcf(c_159,plain,
    ( ( op(e0,e0) = e0 )
    | ~ sP63 ),
    inference(cnf_transformation,[],[f300]) ).

tcf(c_160,plain,
    ( ~ sP63
    | ( op(e0,e0) != e0 ) ),
    inference(cnf_transformation,[],[f299]) ).

tcf(c_161,plain,
    ( ( op(e3,e3) = e0 )
    | ~ sP63 ),
    inference(cnf_transformation,[],[f298]) ).

tcf(c_163,plain,
    ( ( op(e0,e1) = e0 )
    | ~ sP62 ),
    inference(cnf_transformation,[],[f304]) ).

tcf(c_165,plain,
    ( ( op(e0,e0) = e1 )
    | ~ sP62 ),
    inference(cnf_transformation,[],[f302]) ).

tcf(c_166,plain,
    ( ~ sP62
    | ( op(e0,e1) != e0 ) ),
    inference(cnf_transformation,[],[f301]) ).

tcf(c_169,plain,
    ( ( op(e1,e1) = e1 )
    | ~ sP61 ),
    inference(cnf_transformation,[],[f306]) ).

tcf(c_170,plain,
    ( ~ sP61
    | ( op(e1,e1) != e1 ) ),
    inference(cnf_transformation,[],[f305]) ).

tcf(c_171,plain,
    ( ( op(e0,e1) = e0 )
    | ~ sP60 ),
    inference(cnf_transformation,[],[f312]) ).

tcf(c_172,plain,
    ( ~ sP60
    | ( op(e0,e0) != e1 ) ),
    inference(cnf_transformation,[],[f311]) ).

tcf(c_173,plain,
    ( ( op(e2,e2) = e1 )
    | ~ sP60 ),
    inference(cnf_transformation,[],[f310]) ).

tcf(c_174,plain,
    ( ~ sP60
    | ( op(e2,e1) != e2 ) ),
    inference(cnf_transformation,[],[f309]) ).

tcf(c_175,plain,
    ( ( op(e0,e1) = e0 )
    | ~ sP59 ),
    inference(cnf_transformation,[],[f316]) ).

tcf(c_176,plain,
    ( ~ sP59
    | ( op(e0,e0) != e1 ) ),
    inference(cnf_transformation,[],[f315]) ).

tcf(c_177,plain,
    ( ( op(e3,e3) = e1 )
    | ~ sP59 ),
    inference(cnf_transformation,[],[f314]) ).

tcf(c_178,plain,
    ( ~ sP59
    | ( op(e3,e1) != e3 ) ),
    inference(cnf_transformation,[],[f313]) ).

tcf(c_179,plain,
    ( ( op(e0,e2) = e0 )
    | ~ sP58 ),
    inference(cnf_transformation,[],[f320]) ).

tcf(c_181,plain,
    ( ( op(e0,e0) = e2 )
    | ~ sP58 ),
    inference(cnf_transformation,[],[f318]) ).

tcf(c_182,plain,
    ( ~ sP58
    | ( op(e0,e2) != e0 ) ),
    inference(cnf_transformation,[],[f317]) ).

tcf(c_183,plain,
    ( ( op(e0,e2) = e0 )
    | ~ sP57 ),
    inference(cnf_transformation,[],[f324]) ).

tcf(c_184,plain,
    ( ~ sP57
    | ( op(e0,e0) != e2 ) ),
    inference(cnf_transformation,[],[f323]) ).

tcf(c_185,plain,
    ( ( op(e1,e1) = e2 )
    | ~ sP57 ),
    inference(cnf_transformation,[],[f322]) ).

tcf(c_186,plain,
    ( ~ sP57
    | ( op(e1,e2) != e1 ) ),
    inference(cnf_transformation,[],[f321]) ).

tcf(c_189,plain,
    ( ( op(e2,e2) = e2 )
    | ~ sP56 ),
    inference(cnf_transformation,[],[f326]) ).

tcf(c_190,plain,
    ( ~ sP56
    | ( op(e2,e2) != e2 ) ),
    inference(cnf_transformation,[],[f325]) ).

tcf(c_191,plain,
    ( ( op(e0,e2) = e0 )
    | ~ sP55 ),
    inference(cnf_transformation,[],[f332]) ).

tcf(c_192,plain,
    ( ~ sP55
    | ( op(e0,e0) != e2 ) ),
    inference(cnf_transformation,[],[f331]) ).

tcf(c_193,plain,
    ( ( op(e3,e3) = e2 )
    | ~ sP55 ),
    inference(cnf_transformation,[],[f330]) ).

tcf(c_194,plain,
    ( ~ sP55
    | ( op(e3,e2) != e3 ) ),
    inference(cnf_transformation,[],[f329]) ).

tcf(c_195,plain,
    ( ( op(e0,e3) = e0 )
    | ~ sP54 ),
    inference(cnf_transformation,[],[f336]) ).

tcf(c_197,plain,
    ( ( op(e0,e0) = e3 )
    | ~ sP54 ),
    inference(cnf_transformation,[],[f334]) ).

tcf(c_198,plain,
    ( ~ sP54
    | ( op(e0,e3) != e0 ) ),
    inference(cnf_transformation,[],[f333]) ).

tcf(c_199,plain,
    ( ( op(e0,e3) = e0 )
    | ~ sP53 ),
    inference(cnf_transformation,[],[f340]) ).

tcf(c_200,plain,
    ( ~ sP53
    | ( op(e0,e0) != e3 ) ),
    inference(cnf_transformation,[],[f339]) ).

tcf(c_201,plain,
    ( ( op(e1,e1) = e3 )
    | ~ sP53 ),
    inference(cnf_transformation,[],[f338]) ).

tcf(c_202,plain,
    ( ~ sP53
    | ( op(e1,e3) != e1 ) ),
    inference(cnf_transformation,[],[f337]) ).

tcf(c_203,plain,
    ( ( op(e0,e3) = e0 )
    | ~ sP52 ),
    inference(cnf_transformation,[],[f344]) ).

tcf(c_204,plain,
    ( ~ sP52
    | ( op(e0,e0) != e3 ) ),
    inference(cnf_transformation,[],[f343]) ).

tcf(c_205,plain,
    ( ( op(e2,e2) = e3 )
    | ~ sP52 ),
    inference(cnf_transformation,[],[f342]) ).

tcf(c_206,plain,
    ( ~ sP52
    | ( op(e2,e3) != e2 ) ),
    inference(cnf_transformation,[],[f341]) ).

tcf(c_209,plain,
    ( ( op(e3,e3) = e3 )
    | ~ sP51 ),
    inference(cnf_transformation,[],[f346]) ).

tcf(c_210,plain,
    ( ~ sP51
    | ( op(e3,e3) != e3 ) ),
    inference(cnf_transformation,[],[f345]) ).

tcf(c_213,plain,
    ( ( op(e0,e0) = e0 )
    | ~ sP50 ),
    inference(cnf_transformation,[],[f350]) ).

tcf(c_214,plain,
    ( ~ sP50
    | ( op(e0,e0) != e0 ) ),
    inference(cnf_transformation,[],[f349]) ).

tcf(c_215,plain,
    ( ( op(e1,e0) = e1 )
    | ~ sP49 ),
    inference(cnf_transformation,[],[f356]) ).

tcf(c_217,plain,
    ( ( op(e1,e1) = e0 )
    | ~ sP49 ),
    inference(cnf_transformation,[],[f354]) ).

tcf(c_218,plain,
    ( ~ sP49
    | ( op(e1,e0) != e1 ) ),
    inference(cnf_transformation,[],[f353]) ).

tcf(c_219,plain,
    ( ( op(e1,e0) = e1 )
    | ~ sP48 ),
    inference(cnf_transformation,[],[f360]) ).

tcf(c_220,plain,
    ( ~ sP48
    | ( op(e1,e1) != e0 ) ),
    inference(cnf_transformation,[],[f359]) ).

tcf(c_221,plain,
    ( ( op(e2,e2) = e0 )
    | ~ sP48 ),
    inference(cnf_transformation,[],[f358]) ).

tcf(c_222,plain,
    ( ~ sP48
    | ( op(e2,e0) != e2 ) ),
    inference(cnf_transformation,[],[f357]) ).

tcf(c_223,plain,
    ( ( op(e1,e0) = e1 )
    | ~ sP47 ),
    inference(cnf_transformation,[],[f364]) ).

tcf(c_224,plain,
    ( ~ sP47
    | ( op(e1,e1) != e0 ) ),
    inference(cnf_transformation,[],[f363]) ).

tcf(c_225,plain,
    ( ( op(e3,e3) = e0 )
    | ~ sP47 ),
    inference(cnf_transformation,[],[f362]) ).

tcf(c_226,plain,
    ( ~ sP47
    | ( op(e3,e0) != e3 ) ),
    inference(cnf_transformation,[],[f361]) ).

tcf(c_227,plain,
    ( ( op(e1,e1) = e1 )
    | ~ sP46 ),
    inference(cnf_transformation,[],[f368]) ).

tcf(c_228,plain,
    ( ~ sP46
    | ( op(e1,e1) != e1 ) ),
    inference(cnf_transformation,[],[f367]) ).

tcf(c_229,plain,
    ( ( op(e0,e0) = e1 )
    | ~ sP46 ),
    inference(cnf_transformation,[],[f366]) ).

tcf(c_233,plain,
    ( ( op(e1,e1) = e1 )
    | ~ sP45 ),
    inference(cnf_transformation,[],[f370]) ).

tcf(c_234,plain,
    ( ~ sP45
    | ( op(e1,e1) != e1 ) ),
    inference(cnf_transformation,[],[f369]) ).

tcf(c_235,plain,
    ( ( op(e1,e1) = e1 )
    | ~ sP44 ),
    inference(cnf_transformation,[],[f376]) ).

tcf(c_236,plain,
    ( ~ sP44
    | ( op(e1,e1) != e1 ) ),
    inference(cnf_transformation,[],[f375]) ).

tcf(c_237,plain,
    ( ( op(e2,e2) = e1 )
    | ~ sP44 ),
    inference(cnf_transformation,[],[f374]) ).

tcf(c_239,plain,
    ( ( op(e1,e1) = e1 )
    | ~ sP43 ),
    inference(cnf_transformation,[],[f380]) ).

tcf(c_240,plain,
    ( ~ sP43
    | ( op(e1,e1) != e1 ) ),
    inference(cnf_transformation,[],[f379]) ).

tcf(c_241,plain,
    ( ( op(e3,e3) = e1 )
    | ~ sP43 ),
    inference(cnf_transformation,[],[f378]) ).

tcf(c_243,plain,
    ( ( op(e1,e2) = e1 )
    | ~ sP42 ),
    inference(cnf_transformation,[],[f384]) ).

tcf(c_244,plain,
    ( ~ sP42
    | ( op(e1,e1) != e2 ) ),
    inference(cnf_transformation,[],[f383]) ).

tcf(c_245,plain,
    ( ( op(e0,e0) = e2 )
    | ~ sP42 ),
    inference(cnf_transformation,[],[f382]) ).

tcf(c_246,plain,
    ( ~ sP42
    | ( op(e0,e2) != e0 ) ),
    inference(cnf_transformation,[],[f381]) ).

tcf(c_247,plain,
    ( ( op(e1,e2) = e1 )
    | ~ sP41 ),
    inference(cnf_transformation,[],[f388]) ).

tcf(c_249,plain,
    ( ( op(e1,e1) = e2 )
    | ~ sP41 ),
    inference(cnf_transformation,[],[f386]) ).

tcf(c_250,plain,
    ( ~ sP41
    | ( op(e1,e2) != e1 ) ),
    inference(cnf_transformation,[],[f385]) ).

tcf(c_253,plain,
    ( ( op(e2,e2) = e2 )
    | ~ sP40 ),
    inference(cnf_transformation,[],[f390]) ).

tcf(c_254,plain,
    ( ~ sP40
    | ( op(e2,e2) != e2 ) ),
    inference(cnf_transformation,[],[f389]) ).

tcf(c_255,plain,
    ( ( op(e1,e2) = e1 )
    | ~ sP39 ),
    inference(cnf_transformation,[],[f396]) ).

tcf(c_256,plain,
    ( ~ sP39
    | ( op(e1,e1) != e2 ) ),
    inference(cnf_transformation,[],[f395]) ).

tcf(c_257,plain,
    ( ( op(e3,e3) = e2 )
    | ~ sP39 ),
    inference(cnf_transformation,[],[f394]) ).

tcf(c_258,plain,
    ( ~ sP39
    | ( op(e3,e2) != e3 ) ),
    inference(cnf_transformation,[],[f393]) ).

tcf(c_259,plain,
    ( ( op(e1,e3) = e1 )
    | ~ sP38 ),
    inference(cnf_transformation,[],[f400]) ).

tcf(c_260,plain,
    ( ~ sP38
    | ( op(e1,e1) != e3 ) ),
    inference(cnf_transformation,[],[f399]) ).

tcf(c_261,plain,
    ( ( op(e0,e0) = e3 )
    | ~ sP38 ),
    inference(cnf_transformation,[],[f398]) ).

tcf(c_262,plain,
    ( ~ sP38
    | ( op(e0,e3) != e0 ) ),
    inference(cnf_transformation,[],[f397]) ).

tcf(c_263,plain,
    ( ( op(e1,e3) = e1 )
    | ~ sP37 ),
    inference(cnf_transformation,[],[f404]) ).

tcf(c_265,plain,
    ( ( op(e1,e1) = e3 )
    | ~ sP37 ),
    inference(cnf_transformation,[],[f402]) ).

tcf(c_266,plain,
    ( ~ sP37
    | ( op(e1,e3) != e1 ) ),
    inference(cnf_transformation,[],[f401]) ).

tcf(c_267,plain,
    ( ( op(e1,e3) = e1 )
    | ~ sP36 ),
    inference(cnf_transformation,[],[f408]) ).

tcf(c_268,plain,
    ( ~ sP36
    | ( op(e1,e1) != e3 ) ),
    inference(cnf_transformation,[],[f407]) ).

tcf(c_269,plain,
    ( ( op(e2,e2) = e3 )
    | ~ sP36 ),
    inference(cnf_transformation,[],[f406]) ).

tcf(c_270,plain,
    ( ~ sP36
    | ( op(e2,e3) != e2 ) ),
    inference(cnf_transformation,[],[f405]) ).

tcf(c_273,plain,
    ( ( op(e3,e3) = e3 )
    | ~ sP35 ),
    inference(cnf_transformation,[],[f410]) ).

tcf(c_274,plain,
    ( ~ sP35
    | ( op(e3,e3) != e3 ) ),
    inference(cnf_transformation,[],[f409]) ).

tcf(c_277,plain,
    ( ( op(e0,e0) = e0 )
    | ~ sP34 ),
    inference(cnf_transformation,[],[f414]) ).

tcf(c_278,plain,
    ( ~ sP34
    | ( op(e0,e0) != e0 ) ),
    inference(cnf_transformation,[],[f413]) ).

tcf(c_279,plain,
    ( ( op(e2,e0) = e2 )
    | ~ sP33 ),
    inference(cnf_transformation,[],[f420]) ).

tcf(c_280,plain,
    ( ~ sP33
    | ( op(e2,e2) != e0 ) ),
    inference(cnf_transformation,[],[f419]) ).

tcf(c_281,plain,
    ( ( op(e1,e1) = e0 )
    | ~ sP33 ),
    inference(cnf_transformation,[],[f418]) ).

tcf(c_282,plain,
    ( ~ sP33
    | ( op(e1,e0) != e1 ) ),
    inference(cnf_transformation,[],[f417]) ).

tcf(c_283,plain,
    ( ( op(e2,e0) = e2 )
    | ~ sP32 ),
    inference(cnf_transformation,[],[f424]) ).

tcf(c_285,plain,
    ( ( op(e2,e2) = e0 )
    | ~ sP32 ),
    inference(cnf_transformation,[],[f422]) ).

tcf(c_286,plain,
    ( ~ sP32
    | ( op(e2,e0) != e2 ) ),
    inference(cnf_transformation,[],[f421]) ).

tcf(c_287,plain,
    ( ( op(e2,e0) = e2 )
    | ~ sP31 ),
    inference(cnf_transformation,[],[f428]) ).

tcf(c_288,plain,
    ( ~ sP31
    | ( op(e2,e2) != e0 ) ),
    inference(cnf_transformation,[],[f427]) ).

tcf(c_289,plain,
    ( ( op(e3,e3) = e0 )
    | ~ sP31 ),
    inference(cnf_transformation,[],[f426]) ).

tcf(c_290,plain,
    ( ~ sP31
    | ( op(e3,e0) != e3 ) ),
    inference(cnf_transformation,[],[f425]) ).

tcf(c_291,plain,
    ( ( op(e2,e1) = e2 )
    | ~ sP30 ),
    inference(cnf_transformation,[],[f432]) ).

tcf(c_292,plain,
    ( ~ sP30
    | ( op(e2,e2) != e1 ) ),
    inference(cnf_transformation,[],[f431]) ).

tcf(c_293,plain,
    ( ( op(e0,e0) = e1 )
    | ~ sP30 ),
    inference(cnf_transformation,[],[f430]) ).

tcf(c_294,plain,
    ( ~ sP30
    | ( op(e0,e1) != e0 ) ),
    inference(cnf_transformation,[],[f429]) ).

tcf(c_297,plain,
    ( ( op(e1,e1) = e1 )
    | ~ sP29 ),
    inference(cnf_transformation,[],[f434]) ).

tcf(c_298,plain,
    ( ~ sP29
    | ( op(e1,e1) != e1 ) ),
    inference(cnf_transformation,[],[f433]) ).

tcf(c_299,plain,
    ( ( op(e2,e1) = e2 )
    | ~ sP28 ),
    inference(cnf_transformation,[],[f440]) ).

tcf(c_301,plain,
    ( ( op(e2,e2) = e1 )
    | ~ sP28 ),
    inference(cnf_transformation,[],[f438]) ).

tcf(c_302,plain,
    ( ~ sP28
    | ( op(e2,e1) != e2 ) ),
    inference(cnf_transformation,[],[f437]) ).

tcf(c_303,plain,
    ( ( op(e2,e1) = e2 )
    | ~ sP27 ),
    inference(cnf_transformation,[],[f444]) ).

tcf(c_304,plain,
    ( ~ sP27
    | ( op(e2,e2) != e1 ) ),
    inference(cnf_transformation,[],[f443]) ).

tcf(c_305,plain,
    ( ( op(e3,e3) = e1 )
    | ~ sP27 ),
    inference(cnf_transformation,[],[f442]) ).

tcf(c_306,plain,
    ( ~ sP27
    | ( op(e3,e1) != e3 ) ),
    inference(cnf_transformation,[],[f441]) ).

tcf(c_307,plain,
    ( ( op(e2,e2) = e2 )
    | ~ sP26 ),
    inference(cnf_transformation,[],[f448]) ).

tcf(c_308,plain,
    ( ~ sP26
    | ( op(e2,e2) != e2 ) ),
    inference(cnf_transformation,[],[f447]) ).

tcf(c_309,plain,
    ( ( op(e0,e0) = e2 )
    | ~ sP26 ),
    inference(cnf_transformation,[],[f446]) ).

tcf(c_311,plain,
    ( ( op(e2,e2) = e2 )
    | ~ sP25 ),
    inference(cnf_transformation,[],[f452]) ).

tcf(c_312,plain,
    ( ~ sP25
    | ( op(e2,e2) != e2 ) ),
    inference(cnf_transformation,[],[f451]) ).

tcf(c_313,plain,
    ( ( op(e1,e1) = e2 )
    | ~ sP25 ),
    inference(cnf_transformation,[],[f450]) ).

tcf(c_317,plain,
    ( ( op(e2,e2) = e2 )
    | ~ sP24 ),
    inference(cnf_transformation,[],[f454]) ).

tcf(c_318,plain,
    ( ~ sP24
    | ( op(e2,e2) != e2 ) ),
    inference(cnf_transformation,[],[f453]) ).

tcf(c_319,plain,
    ( ( op(e2,e2) = e2 )
    | ~ sP23 ),
    inference(cnf_transformation,[],[f460]) ).

tcf(c_320,plain,
    ( ~ sP23
    | ( op(e2,e2) != e2 ) ),
    inference(cnf_transformation,[],[f459]) ).

tcf(c_321,plain,
    ( ( op(e3,e3) = e2 )
    | ~ sP23 ),
    inference(cnf_transformation,[],[f458]) ).

tcf(c_323,plain,
    ( ( op(e2,e3) = e2 )
    | ~ sP22 ),
    inference(cnf_transformation,[],[f464]) ).

tcf(c_324,plain,
    ( ~ sP22
    | ( op(e2,e2) != e3 ) ),
    inference(cnf_transformation,[],[f463]) ).

tcf(c_325,plain,
    ( ( op(e0,e0) = e3 )
    | ~ sP22 ),
    inference(cnf_transformation,[],[f462]) ).

tcf(c_326,plain,
    ( ~ sP22
    | ( op(e0,e3) != e0 ) ),
    inference(cnf_transformation,[],[f461]) ).

tcf(c_327,plain,
    ( ( op(e2,e3) = e2 )
    | ~ sP21 ),
    inference(cnf_transformation,[],[f468]) ).

tcf(c_328,plain,
    ( ~ sP21
    | ( op(e2,e2) != e3 ) ),
    inference(cnf_transformation,[],[f467]) ).

tcf(c_329,plain,
    ( ( op(e1,e1) = e3 )
    | ~ sP21 ),
    inference(cnf_transformation,[],[f466]) ).

tcf(c_330,plain,
    ( ~ sP21
    | ( op(e1,e3) != e1 ) ),
    inference(cnf_transformation,[],[f465]) ).

tcf(c_331,plain,
    ( ( op(e2,e3) = e2 )
    | ~ sP20 ),
    inference(cnf_transformation,[],[f472]) ).

tcf(c_333,plain,
    ( ( op(e2,e2) = e3 )
    | ~ sP20 ),
    inference(cnf_transformation,[],[f470]) ).

tcf(c_334,plain,
    ( ~ sP20
    | ( op(e2,e3) != e2 ) ),
    inference(cnf_transformation,[],[f469]) ).

tcf(c_337,plain,
    ( ( op(e3,e3) = e3 )
    | ~ sP19 ),
    inference(cnf_transformation,[],[f474]) ).

tcf(c_338,plain,
    ( ~ sP19
    | ( op(e3,e3) != e3 ) ),
    inference(cnf_transformation,[],[f473]) ).

tcf(c_341,plain,
    ( ( op(e0,e0) = e0 )
    | ~ sP18 ),
    inference(cnf_transformation,[],[f478]) ).

tcf(c_342,plain,
    ( ~ sP18
    | ( op(e0,e0) != e0 ) ),
    inference(cnf_transformation,[],[f477]) ).

tcf(c_343,plain,
    ( ( op(e3,e0) = e3 )
    | ~ sP17 ),
    inference(cnf_transformation,[],[f484]) ).

tcf(c_344,plain,
    ( ~ sP17
    | ( op(e3,e3) != e0 ) ),
    inference(cnf_transformation,[],[f483]) ).

tcf(c_345,plain,
    ( ( op(e1,e1) = e0 )
    | ~ sP17 ),
    inference(cnf_transformation,[],[f482]) ).

tcf(c_346,plain,
    ( ~ sP17
    | ( op(e1,e0) != e1 ) ),
    inference(cnf_transformation,[],[f481]) ).

tcf(c_347,plain,
    ( ( op(e3,e0) = e3 )
    | ~ sP16 ),
    inference(cnf_transformation,[],[f488]) ).

tcf(c_348,plain,
    ( ~ sP16
    | ( op(e3,e3) != e0 ) ),
    inference(cnf_transformation,[],[f487]) ).

tcf(c_349,plain,
    ( ( op(e2,e2) = e0 )
    | ~ sP16 ),
    inference(cnf_transformation,[],[f486]) ).

tcf(c_350,plain,
    ( ~ sP16
    | ( op(e2,e0) != e2 ) ),
    inference(cnf_transformation,[],[f485]) ).

tcf(c_351,plain,
    ( ( op(e3,e0) = e3 )
    | ~ sP15 ),
    inference(cnf_transformation,[],[f492]) ).

tcf(c_353,plain,
    ( ( op(e3,e3) = e0 )
    | ~ sP15 ),
    inference(cnf_transformation,[],[f490]) ).

tcf(c_354,plain,
    ( ~ sP15
    | ( op(e3,e0) != e3 ) ),
    inference(cnf_transformation,[],[f489]) ).

tcf(c_355,plain,
    ( ( op(e3,e1) = e3 )
    | ~ sP14 ),
    inference(cnf_transformation,[],[f496]) ).

tcf(c_356,plain,
    ( ~ sP14
    | ( op(e3,e3) != e1 ) ),
    inference(cnf_transformation,[],[f495]) ).

tcf(c_357,plain,
    ( ( op(e0,e0) = e1 )
    | ~ sP14 ),
    inference(cnf_transformation,[],[f494]) ).

tcf(c_358,plain,
    ( ~ sP14
    | ( op(e0,e1) != e0 ) ),
    inference(cnf_transformation,[],[f493]) ).

tcf(c_361,plain,
    ( ( op(e1,e1) = e1 )
    | ~ sP13 ),
    inference(cnf_transformation,[],[f498]) ).

tcf(c_362,plain,
    ( ~ sP13
    | ( op(e1,e1) != e1 ) ),
    inference(cnf_transformation,[],[f497]) ).

tcf(c_363,plain,
    ( ( op(e3,e1) = e3 )
    | ~ sP12 ),
    inference(cnf_transformation,[],[f504]) ).

tcf(c_364,plain,
    ( ~ sP12
    | ( op(e3,e3) != e1 ) ),
    inference(cnf_transformation,[],[f503]) ).

tcf(c_365,plain,
    ( ( op(e2,e2) = e1 )
    | ~ sP12 ),
    inference(cnf_transformation,[],[f502]) ).

tcf(c_366,plain,
    ( ~ sP12
    | ( op(e2,e1) != e2 ) ),
    inference(cnf_transformation,[],[f501]) ).

tcf(c_367,plain,
    ( ( op(e3,e1) = e3 )
    | ~ sP11 ),
    inference(cnf_transformation,[],[f508]) ).

tcf(c_369,plain,
    ( ( op(e3,e3) = e1 )
    | ~ sP11 ),
    inference(cnf_transformation,[],[f506]) ).

tcf(c_370,plain,
    ( ~ sP11
    | ( op(e3,e1) != e3 ) ),
    inference(cnf_transformation,[],[f505]) ).

tcf(c_371,plain,
    ( ( op(e3,e2) = e3 )
    | ~ sP10 ),
    inference(cnf_transformation,[],[f512]) ).

tcf(c_372,plain,
    ( ~ sP10
    | ( op(e3,e3) != e2 ) ),
    inference(cnf_transformation,[],[f511]) ).

tcf(c_373,plain,
    ( ( op(e0,e0) = e2 )
    | ~ sP10 ),
    inference(cnf_transformation,[],[f510]) ).

tcf(c_374,plain,
    ( ~ sP10
    | ( op(e0,e2) != e0 ) ),
    inference(cnf_transformation,[],[f509]) ).

tcf(c_375,plain,
    ( ( op(e3,e2) = e3 )
    | ~ sP9 ),
    inference(cnf_transformation,[],[f516]) ).

tcf(c_376,plain,
    ( ~ sP9
    | ( op(e3,e3) != e2 ) ),
    inference(cnf_transformation,[],[f515]) ).

tcf(c_377,plain,
    ( ( op(e1,e1) = e2 )
    | ~ sP9 ),
    inference(cnf_transformation,[],[f514]) ).

tcf(c_378,plain,
    ( ~ sP9
    | ( op(e1,e2) != e1 ) ),
    inference(cnf_transformation,[],[f513]) ).

tcf(c_381,plain,
    ( ( op(e2,e2) = e2 )
    | ~ sP8 ),
    inference(cnf_transformation,[],[f518]) ).

tcf(c_382,plain,
    ( ~ sP8
    | ( op(e2,e2) != e2 ) ),
    inference(cnf_transformation,[],[f517]) ).

tcf(c_383,plain,
    ( ( op(e3,e2) = e3 )
    | ~ sP7 ),
    inference(cnf_transformation,[],[f524]) ).

tcf(c_385,plain,
    ( ( op(e3,e3) = e2 )
    | ~ sP7 ),
    inference(cnf_transformation,[],[f522]) ).

tcf(c_386,plain,
    ( ~ sP7
    | ( op(e3,e2) != e3 ) ),
    inference(cnf_transformation,[],[f521]) ).

tcf(c_387,plain,
    ( ( op(e3,e3) = e3 )
    | ~ sP6 ),
    inference(cnf_transformation,[],[f528]) ).

tcf(c_388,plain,
    ( ~ sP6
    | ( op(e3,e3) != e3 ) ),
    inference(cnf_transformation,[],[f527]) ).

tcf(c_389,plain,
    ( ( op(e0,e0) = e3 )
    | ~ sP6 ),
    inference(cnf_transformation,[],[f526]) ).

tcf(c_391,plain,
    ( ( op(e3,e3) = e3 )
    | ~ sP5 ),
    inference(cnf_transformation,[],[f532]) ).

tcf(c_392,plain,
    ( ~ sP5
    | ( op(e3,e3) != e3 ) ),
    inference(cnf_transformation,[],[f531]) ).

tcf(c_393,plain,
    ( ( op(e1,e1) = e3 )
    | ~ sP5 ),
    inference(cnf_transformation,[],[f530]) ).

tcf(c_395,plain,
    ( ( op(e3,e3) = e3 )
    | ~ sP4 ),
    inference(cnf_transformation,[],[f536]) ).

tcf(c_396,plain,
    ( ~ sP4
    | ( op(e3,e3) != e3 ) ),
    inference(cnf_transformation,[],[f535]) ).

tcf(c_397,plain,
    ( ( op(e2,e2) = e3 )
    | ~ sP4 ),
    inference(cnf_transformation,[],[f534]) ).

tcf(c_401,plain,
    ( ( op(e3,e3) = e3 )
    | ~ sP3 ),
    inference(cnf_transformation,[],[f538]) ).

tcf(c_402,plain,
    ( ~ sP3
    | ( op(e3,e3) != e3 ) ),
    inference(cnf_transformation,[],[f537]) ).

tcf(c_403,plain,
    ( ( op(e1,op(e1,e0)) = e0 )
    | ~ sP2 ),
    inference(cnf_transformation,[],[f548]) ).

tcf(c_404,plain,
    ( ( op(e1,op(e1,e1)) = e1 )
    | ~ sP2 ),
    inference(cnf_transformation,[],[f547]) ).

tcf(c_405,plain,
    ( ( op(e1,op(e1,e2)) = e2 )
    | ~ sP2 ),
    inference(cnf_transformation,[],[f546]) ).

tcf(c_406,plain,
    ( ( op(e1,op(e1,e3)) = e3 )
    | ~ sP2 ),
    inference(cnf_transformation,[],[f545]) ).

tcf(c_407,plain,
    ( ( op(e0,e1) = e0 )
    | ~ sP2
    | ( op(e0,e0) != e1 ) ),
    inference(cnf_transformation,[],[f544]) ).

tcf(c_408,plain,
    ( ( op(e2,e1) = e2 )
    | ~ sP2
    | ( op(e2,e2) != e1 ) ),
    inference(cnf_transformation,[],[f542]) ).

tcf(c_409,plain,
    ( ( op(e3,e1) = e3 )
    | ~ sP2
    | ( op(e3,e3) != e1 ) ),
    inference(cnf_transformation,[],[f541]) ).

tcf(c_410,plain,
    ( ( op(e2,op(e2,e0)) = e0 )
    | ~ sP1 ),
    inference(cnf_transformation,[],[f556]) ).

tcf(c_411,plain,
    ( ( op(e2,op(e2,e1)) = e1 )
    | ~ sP1 ),
    inference(cnf_transformation,[],[f555]) ).

tcf(c_412,plain,
    ( ( op(e2,op(e2,e2)) = e2 )
    | ~ sP1 ),
    inference(cnf_transformation,[],[f554]) ).

tcf(c_413,plain,
    ( ( op(e2,op(e2,e3)) = e3 )
    | ~ sP1 ),
    inference(cnf_transformation,[],[f553]) ).

tcf(c_414,plain,
    ( ( op(e0,e2) = e0 )
    | ~ sP1
    | ( op(e0,e0) != e2 ) ),
    inference(cnf_transformation,[],[f552]) ).

tcf(c_415,plain,
    ( ( op(e1,e2) = e1 )
    | ~ sP1
    | ( op(e1,e1) != e2 ) ),
    inference(cnf_transformation,[],[f551]) ).

tcf(c_416,plain,
    ( ( op(e3,e2) = e3 )
    | ~ sP1
    | ( op(e3,e3) != e2 ) ),
    inference(cnf_transformation,[],[f549]) ).

tcf(c_425,plain,
    ( sP3
    | sP4
    | sP5
    | sP6
    | sP7
    | sP8
    | sP9
    | sP10
    | sP11
    | sP12
    | sP13
    | sP14
    | sP15
    | sP16
    | sP17
    | sP18
    | sP19
    | sP20
    | sP21
    | sP22
    | sP23
    | sP24
    | sP25
    | sP26
    | sP27
    | sP28
    | sP29
    | sP30
    | sP31
    | sP32
    | sP33
    | sP34
    | sP35
    | sP36
    | sP37
    | sP38
    | sP39
    | sP40
    | sP41
    | sP42
    | sP43
    | sP44
    | sP45
    | sP46
    | sP47
    | sP48
    | sP49
    | sP50
    | sP51
    | sP52
    | sP53
    | sP54
    | sP55
    | sP56
    | sP57
    | sP58
    | sP59
    | sP60
    | sP61
    | sP62
    | sP63
    | sP64
    | sP65
    | ( op(e0,e0) != e0 ) ),
    inference(cnf_transformation,[],[f575]) ).

tcf(c_426,plain,
    ( sP3
    | sP4
    | sP5
    | sP6
    | sP7
    | sP8
    | sP9
    | sP10
    | sP11
    | sP12
    | sP13
    | sP14
    | sP15
    | sP16
    | sP17
    | sP18
    | sP19
    | sP20
    | sP21
    | sP22
    | sP23
    | sP24
    | sP25
    | sP26
    | sP27
    | sP28
    | sP29
    | sP30
    | sP31
    | sP32
    | sP33
    | sP34
    | sP35
    | sP36
    | sP37
    | sP38
    | sP39
    | sP40
    | sP41
    | sP42
    | sP43
    | sP44
    | sP45
    | sP46
    | sP47
    | sP48
    | sP49
    | sP50
    | sP51
    | sP52
    | sP53
    | sP54
    | sP55
    | sP56
    | sP57
    | sP58
    | sP59
    | sP60
    | sP61
    | sP62
    | sP63
    | sP64
    | sP65
    | ( op(e0,e0) = e0 ) ),
    inference(cnf_transformation,[],[f574]) ).

tcf(c_427,plain,
    ( sP3
    | sP4
    | sP5
    | sP6
    | sP7
    | sP8
    | sP9
    | sP10
    | sP11
    | sP12
    | sP13
    | sP14
    | sP15
    | sP16
    | sP17
    | sP18
    | sP19
    | sP20
    | sP21
    | sP22
    | sP23
    | sP24
    | sP25
    | sP26
    | sP27
    | sP28
    | sP29
    | sP30
    | sP31
    | sP32
    | sP33
    | sP34
    | sP35
    | sP36
    | sP37
    | sP38
    | sP39
    | sP40
    | sP41
    | sP42
    | sP43
    | sP44
    | sP45
    | sP46
    | sP47
    | sP48
    | sP49
    | sP50
    | sP51
    | sP52
    | sP53
    | sP54
    | sP55
    | sP56
    | sP57
    | sP58
    | sP59
    | sP60
    | sP61
    | sP62
    | sP63
    | sP64
    | sP65
    | ( op(e0,e0) != e0 ) ),
    inference(cnf_transformation,[],[f573]) ).

tcf(c_428,plain,
    ( sP0
    | sP1
    | sP2
    | ( op(e0,op(e0,e0)) = e0 ) ),
    inference(cnf_transformation,[],[f572]) ).

tcf(c_429,plain,
    ( sP0
    | sP1
    | sP2
    | ( op(e0,op(e0,e1)) = e1 ) ),
    inference(cnf_transformation,[],[f571]) ).

tcf(c_430,plain,
    ( sP0
    | sP1
    | sP2
    | ( op(e0,op(e0,e2)) = e2 ) ),
    inference(cnf_transformation,[],[f570]) ).

tcf(c_431,plain,
    ( sP0
    | sP1
    | sP2
    | ( op(e0,op(e0,e3)) = e3 ) ),
    inference(cnf_transformation,[],[f569]) ).

tcf(c_432,plain,
    ( sP0
    | sP1
    | sP2
    | ( op(e1,e0) = e1 )
    | ( op(e1,e1) != e0 ) ),
    inference(cnf_transformation,[],[f567]) ).

tcf(c_433,plain,
    ( sP0
    | sP1
    | sP2
    | ( op(e2,e0) = e2 )
    | ( op(e2,e2) != e0 ) ),
    inference(cnf_transformation,[],[f566]) ).

tcf(c_434,plain,
    ( sP0
    | sP1
    | sP2
    | ( op(e3,e0) = e3 )
    | ( op(e3,e3) != e0 ) ),
    inference(cnf_transformation,[],[f565]) ).

tcf(c_435,plain,
    ( ( op(e0,e0) != e3 )
    | ( op(op(e0,e0),e0) != e2 )
    | ( op(op(e0,e0),op(e0,e0)) != e1 ) ),
    inference(cnf_transformation,[],[f577]) ).

tcf(c_436,plain,
    ( ( op(e0,e0) != e2 )
    | ( op(op(e0,e0),e0) != e3 )
    | ( op(op(e0,e0),op(e0,e0)) != e1 ) ),
    inference(cnf_transformation,[],[f578]) ).

tcf(c_437,plain,
    ( ( op(e0,e0) != e3 )
    | ( op(op(e0,e0),e0) != e1 )
    | ( op(op(e0,e0),op(e0,e0)) != e2 ) ),
    inference(cnf_transformation,[],[f579]) ).

tcf(c_438,plain,
    ( ( op(e0,e0) != e1 )
    | ( op(op(e0,e0),e0) != e3 )
    | ( op(op(e0,e0),op(e0,e0)) != e2 ) ),
    inference(cnf_transformation,[],[f580]) ).

tcf(c_439,plain,
    ( ( op(e0,e0) != e2 )
    | ( op(op(e0,e0),e0) != e1 )
    | ( op(op(e0,e0),op(e0,e0)) != e3 ) ),
    inference(cnf_transformation,[],[f581]) ).

tcf(c_440,plain,
    ( ( op(e0,e0) != e1 )
    | ( op(op(e0,e0),e0) != e2 )
    | ( op(op(e0,e0),op(e0,e0)) != e3 ) ),
    inference(cnf_transformation,[],[f582]) ).

tcf(c_441,plain,
    ( ( op(e1,e1) != e3 )
    | ( op(op(e1,e1),e1) != e2 )
    | ( op(op(e1,e1),op(e1,e1)) != e0 ) ),
    inference(cnf_transformation,[],[f583]) ).

tcf(c_442,plain,
    ( ( op(e1,e1) != e2 )
    | ( op(op(e1,e1),e1) != e3 )
    | ( op(op(e1,e1),op(e1,e1)) != e0 ) ),
    inference(cnf_transformation,[],[f584]) ).

tcf(c_443,plain,
    ( ( op(e1,e1) != e3 )
    | ( op(op(e1,e1),e1) != e0 )
    | ( op(op(e1,e1),op(e1,e1)) != e2 ) ),
    inference(cnf_transformation,[],[f585]) ).

tcf(c_444,plain,
    ( ( op(e1,e1) != e0 )
    | ( op(op(e1,e1),e1) != e3 )
    | ( op(op(e1,e1),op(e1,e1)) != e2 ) ),
    inference(cnf_transformation,[],[f586]) ).

tcf(c_445,plain,
    ( ( op(e1,e1) != e2 )
    | ( op(op(e1,e1),e1) != e0 )
    | ( op(op(e1,e1),op(e1,e1)) != e3 ) ),
    inference(cnf_transformation,[],[f587]) ).

tcf(c_446,plain,
    ( ( op(e1,e1) != e0 )
    | ( op(op(e1,e1),e1) != e2 )
    | ( op(op(e1,e1),op(e1,e1)) != e3 ) ),
    inference(cnf_transformation,[],[f588]) ).

tcf(c_447,plain,
    ( ( op(e2,e2) != e3 )
    | ( op(op(e2,e2),e2) != e1 )
    | ( op(op(e2,e2),op(e2,e2)) != e0 ) ),
    inference(cnf_transformation,[],[f589]) ).

tcf(c_448,plain,
    ( ( op(e2,e2) != e1 )
    | ( op(op(e2,e2),e2) != e3 )
    | ( op(op(e2,e2),op(e2,e2)) != e0 ) ),
    inference(cnf_transformation,[],[f590]) ).

tcf(c_449,plain,
    ( ( op(e2,e2) != e3 )
    | ( op(op(e2,e2),e2) != e0 )
    | ( op(op(e2,e2),op(e2,e2)) != e1 ) ),
    inference(cnf_transformation,[],[f591]) ).

tcf(c_450,plain,
    ( ( op(e2,e2) != e0 )
    | ( op(op(e2,e2),e2) != e3 )
    | ( op(op(e2,e2),op(e2,e2)) != e1 ) ),
    inference(cnf_transformation,[],[f592]) ).

tcf(c_451,plain,
    ( ( op(e2,e2) != e1 )
    | ( op(op(e2,e2),e2) != e0 )
    | ( op(op(e2,e2),op(e2,e2)) != e3 ) ),
    inference(cnf_transformation,[],[f593]) ).

tcf(c_452,plain,
    ( ( op(e2,e2) != e0 )
    | ( op(op(e2,e2),e2) != e1 )
    | ( op(op(e2,e2),op(e2,e2)) != e3 ) ),
    inference(cnf_transformation,[],[f594]) ).

tcf(c_453,plain,
    ( ( op(e3,e3) != e2 )
    | ( op(op(e3,e3),e3) != e1 )
    | ( op(op(e3,e3),op(e3,e3)) != e0 ) ),
    inference(cnf_transformation,[],[f595]) ).

tcf(c_454,plain,
    ( ( op(e3,e3) != e1 )
    | ( op(op(e3,e3),e3) != e2 )
    | ( op(op(e3,e3),op(e3,e3)) != e0 ) ),
    inference(cnf_transformation,[],[f596]) ).

tcf(c_455,plain,
    ( ( op(e3,e3) != e2 )
    | ( op(op(e3,e3),e3) != e0 )
    | ( op(op(e3,e3),op(e3,e3)) != e1 ) ),
    inference(cnf_transformation,[],[f597]) ).

tcf(c_456,plain,
    ( ( op(e3,e3) != e0 )
    | ( op(op(e3,e3),e3) != e2 )
    | ( op(op(e3,e3),op(e3,e3)) != e1 ) ),
    inference(cnf_transformation,[],[f598]) ).

tcf(c_457,plain,
    ( ( op(e3,e3) != e1 )
    | ( op(op(e3,e3),e3) != e0 )
    | ( op(op(e3,e3),op(e3,e3)) != e2 ) ),
    inference(cnf_transformation,[],[f599]) ).

tcf(c_458,plain,
    ( ( op(e3,e3) != e0 )
    | ( op(op(e3,e3),e3) != e1 )
    | ( op(op(e3,e3),op(e3,e3)) != e2 ) ),
    inference(cnf_transformation,[],[f600]) ).

tcf(c_459,plain,
    ~ sP3,
    inference(global_subsumption_just,[status(thm)],[c_401,c_401,c_402]) ).

tcf(c_463,plain,
    ~ sP4,
    inference(global_subsumption_just,[status(thm)],[c_397,c_395,c_396]) ).

tcf(c_467,plain,
    ~ sP5,
    inference(global_subsumption_just,[status(thm)],[c_393,c_391,c_392]) ).

tcf(c_471,plain,
    ~ sP6,
    inference(global_subsumption_just,[status(thm)],[c_389,c_387,c_388]) ).

tcf(c_475,plain,
    ~ sP7,
    inference(global_subsumption_just,[status(thm)],[c_385,c_383,c_386]) ).

tcf(c_479,plain,
    ~ sP8,
    inference(global_subsumption_just,[status(thm)],[c_381,c_381,c_382]) ).

tcf(c_483,plain,
    ~ sP11,
    inference(global_subsumption_just,[status(thm)],[c_369,c_367,c_370]) ).

tcf(c_487,plain,
    ~ sP13,
    inference(global_subsumption_just,[status(thm)],[c_361,c_361,c_362]) ).

tcf(c_491,plain,
    ~ sP15,
    inference(global_subsumption_just,[status(thm)],[c_353,c_351,c_354]) ).

tcf(c_495,plain,
    ~ sP18,
    inference(global_subsumption_just,[status(thm)],[c_341,c_341,c_342]) ).

tcf(c_499,plain,
    ~ sP19,
    inference(global_subsumption_just,[status(thm)],[c_337,c_337,c_338]) ).

tcf(c_503,plain,
    ~ sP20,
    inference(global_subsumption_just,[status(thm)],[c_333,c_331,c_334]) ).

tcf(c_507,plain,
    ~ sP23,
    inference(global_subsumption_just,[status(thm)],[c_321,c_319,c_320]) ).

tcf(c_511,plain,
    ~ sP24,
    inference(global_subsumption_just,[status(thm)],[c_317,c_317,c_318]) ).

tcf(c_515,plain,
    ~ sP25,
    inference(global_subsumption_just,[status(thm)],[c_313,c_311,c_312]) ).

tcf(c_519,plain,
    ~ sP26,
    inference(global_subsumption_just,[status(thm)],[c_309,c_307,c_308]) ).

tcf(c_523,plain,
    ~ sP28,
    inference(global_subsumption_just,[status(thm)],[c_301,c_299,c_302]) ).

tcf(c_527,plain,
    ~ sP29,
    inference(global_subsumption_just,[status(thm)],[c_297,c_297,c_298]) ).

tcf(c_531,plain,
    ~ sP32,
    inference(global_subsumption_just,[status(thm)],[c_285,c_283,c_286]) ).

tcf(c_535,plain,
    ~ sP34,
    inference(global_subsumption_just,[status(thm)],[c_277,c_277,c_278]) ).

tcf(c_539,plain,
    ~ sP35,
    inference(global_subsumption_just,[status(thm)],[c_273,c_273,c_274]) ).

tcf(c_543,plain,
    ~ sP37,
    inference(global_subsumption_just,[status(thm)],[c_265,c_263,c_266]) ).

tcf(c_547,plain,
    ~ sP40,
    inference(global_subsumption_just,[status(thm)],[c_253,c_253,c_254]) ).

tcf(c_551,plain,
    ~ sP41,
    inference(global_subsumption_just,[status(thm)],[c_249,c_247,c_250]) ).

tcf(c_555,plain,
    ~ sP43,
    inference(global_subsumption_just,[status(thm)],[c_241,c_239,c_240]) ).

tcf(c_559,plain,
    ~ sP44,
    inference(global_subsumption_just,[status(thm)],[c_237,c_235,c_236]) ).

tcf(c_563,plain,
    ~ sP45,
    inference(global_subsumption_just,[status(thm)],[c_233,c_233,c_234]) ).

tcf(c_567,plain,
    ~ sP46,
    inference(global_subsumption_just,[status(thm)],[c_229,c_227,c_228]) ).

tcf(c_571,plain,
    ~ sP49,
    inference(global_subsumption_just,[status(thm)],[c_217,c_215,c_218]) ).

tcf(c_575,plain,
    ~ sP50,
    inference(global_subsumption_just,[status(thm)],[c_213,c_213,c_214]) ).

tcf(c_579,plain,
    ~ sP51,
    inference(global_subsumption_just,[status(thm)],[c_209,c_209,c_210]) ).

tcf(c_583,plain,
    ~ sP54,
    inference(global_subsumption_just,[status(thm)],[c_197,c_195,c_198]) ).

tcf(c_587,plain,
    ~ sP56,
    inference(global_subsumption_just,[status(thm)],[c_189,c_189,c_190]) ).

tcf(c_591,plain,
    ~ sP58,
    inference(global_subsumption_just,[status(thm)],[c_181,c_179,c_182]) ).

tcf(c_595,plain,
    ~ sP61,
    inference(global_subsumption_just,[status(thm)],[c_169,c_169,c_170]) ).

tcf(c_599,plain,
    ~ sP62,
    inference(global_subsumption_just,[status(thm)],[c_165,c_163,c_166]) ).

tcf(c_603,plain,
    ~ sP63,
    inference(global_subsumption_just,[status(thm)],[c_161,c_159,c_160]) ).

tcf(c_607,plain,
    ~ sP64,
    inference(global_subsumption_just,[status(thm)],[c_157,c_155,c_156]) ).

tcf(c_611,plain,
    ~ sP65,
    inference(global_subsumption_just,[status(thm)],[c_153,c_151,c_152]) ).

tcf(c_771,plain,
    ( sP9
    | sP10
    | sP14
    | sP21
    | sP22
    | sP27
    | sP30
    | sP31
    | sP38
    | sP39
    | sP42
    | sP47
    | sP48
    | sP55
    | sP59
    | sP60
    | sP57
    | sP53
    | sP52
    | sP36
    | sP33
    | sP17
    | sP16
    | sP12 ),
    inference(global_subsumption_just,[status(thm)],[c_426,c_426,c_427,c_459,c_463,c_467,c_471,c_475,c_479,c_483,c_487,c_491,c_495,c_499,c_503,c_507,c_511,c_515,c_519,c_523,c_527,c_531,c_535,c_539,c_543,c_547,c_551,c_555,c_559,c_563,c_567,c_571,c_575,c_579,c_583,c_587,c_591,c_595,c_599,c_603,c_607,c_611]) ).

tcf(c_772,plain,
    ( sP9
    | sP10
    | sP12
    | sP14
    | sP16
    | sP17
    | sP21
    | sP22
    | sP27
    | sP30
    | sP31
    | sP33
    | sP36
    | sP38
    | sP39
    | sP42
    | sP47
    | sP48
    | sP52
    | sP53
    | sP55
    | sP57
    | sP59
    | sP60 ),
    inference(renaming,[status(thm)],[c_771]) ).

tcf(c_777,plain,
    ( sP9
    | sP10
    | sP14
    | sP21
    | sP22
    | sP27
    | sP30
    | sP31
    | sP38
    | sP39
    | sP42
    | sP47
    | sP48
    | sP55
    | sP59
    | sP60
    | sP57
    | sP53
    | sP52
    | sP36
    | sP33
    | sP17
    | sP16
    | sP12 ),
    inference(global_subsumption_just,[status(thm)],[c_425,c_772]) ).

tcf(c_778,plain,
    ( sP9
    | sP10
    | sP12
    | sP14
    | sP16
    | sP17
    | sP21
    | sP22
    | sP27
    | sP30
    | sP31
    | sP33
    | sP36
    | sP38
    | sP39
    | sP42
    | sP47
    | sP48
    | sP52
    | sP53
    | sP55
    | sP57
    | sP59
    | sP60 ),
    inference(renaming,[status(thm)],[c_777]) ).

fof(f54,definition,
    ( ~ sP0
    | ( ( op(e3,e3) = e3
        | op(e3,e3) != e3 )
      & ( op(e2,e3) = e2
        | op(e2,e2) != e3 )
      & ( op(e1,e3) = e1
        | op(e1,e1) != e3 )
      & ( op(e0,e3) = e0
        | op(e0,e0) != e3 )
      & op(e3,op(e3,e3)) = e3
      & op(e3,op(e3,e2)) = e2
      & op(e3,op(e3,e1)) = e1
      & op(e3,op(e3,e0)) = e0 ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f55,definition,
    ( ~ sP1
    | ( ( op(e3,e2) = e3
        | op(e3,e3) != e2 )
      & ( op(e2,e2) = e2
        | op(e2,e2) != e2 )
      & ( op(e1,e2) = e1
        | op(e1,e1) != e2 )
      & ( op(e0,e2) = e0
        | op(e0,e0) != e2 )
      & op(e2,op(e2,e3)) = e3
      & op(e2,op(e2,e2)) = e2
      & op(e2,op(e2,e1)) = e1
      & op(e2,op(e2,e0)) = e0 ) ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f56,definition,
    ( ~ sP2
    | ( ( op(e3,e1) = e3
        | op(e3,e3) != e1 )
      & ( op(e2,e1) = e2
        | op(e2,e2) != e1 )
      & ( op(e1,e1) = e1
        | op(e1,e1) != e1 )
      & ( op(e0,e1) = e0
        | op(e0,e0) != e1 )
      & op(e1,op(e1,e3)) = e3
      & op(e1,op(e1,e2)) = e2
      & op(e1,op(e1,e1)) = e1
      & op(e1,op(e1,e0)) = e0 ) ),
    introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).

fof(f57,definition,
    ( ~ sP3
    | ( op(e3,e3) != e3
      & op(e3,e3) = e3
      & op(e3,e3) != e3
      & op(e3,e3) = e3 ) ),
    introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).

fof(f58,definition,
    ( ~ sP4
    | ( op(e2,e3) != e2
      & op(e2,e2) = e3
      & op(e3,e3) != e3
      & op(e3,e3) = e3 ) ),
    introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).

fof(f59,definition,
    ( ~ sP5
    | ( op(e1,e3) != e1
      & op(e1,e1) = e3
      & op(e3,e3) != e3
      & op(e3,e3) = e3 ) ),
    introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).

fof(f60,definition,
    ( ~ sP6
    | ( op(e0,e3) != e0
      & op(e0,e0) = e3
      & op(e3,e3) != e3
      & op(e3,e3) = e3 ) ),
    introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).

fof(f61,definition,
    ( ~ sP7
    | ( op(e3,e2) != e3
      & op(e3,e3) = e2
      & op(e3,e3) != e2
      & op(e3,e2) = e3 ) ),
    introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).

fof(f62,definition,
    ( ~ sP8
    | ( op(e2,e2) != e2
      & op(e2,e2) = e2
      & op(e3,e3) != e2
      & op(e3,e2) = e3 ) ),
    introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).

fof(f63,definition,
    ( ~ sP9
    | ( op(e1,e2) != e1
      & op(e1,e1) = e2
      & op(e3,e3) != e2
      & op(e3,e2) = e3 ) ),
    introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).

fof(f64,definition,
    ( ~ sP10
    | ( op(e0,e2) != e0
      & op(e0,e0) = e2
      & op(e3,e3) != e2
      & op(e3,e2) = e3 ) ),
    introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).

fof(f65,definition,
    ( ~ sP11
    | ( op(e3,e1) != e3
      & op(e3,e3) = e1
      & op(e3,e3) != e1
      & op(e3,e1) = e3 ) ),
    introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).

fof(f66,definition,
    ( ~ sP12
    | ( op(e2,e1) != e2
      & op(e2,e2) = e1
      & op(e3,e3) != e1
      & op(e3,e1) = e3 ) ),
    introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).

fof(f67,definition,
    ( ~ sP13
    | ( op(e1,e1) != e1
      & op(e1,e1) = e1
      & op(e3,e3) != e1
      & op(e3,e1) = e3 ) ),
    introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).

fof(f68,definition,
    ( ~ sP14
    | ( op(e0,e1) != e0
      & op(e0,e0) = e1
      & op(e3,e3) != e1
      & op(e3,e1) = e3 ) ),
    introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).

fof(f69,definition,
    ( ~ sP15
    | ( op(e3,e0) != e3
      & op(e3,e3) = e0
      & op(e3,e3) != e0
      & op(e3,e0) = e3 ) ),
    introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).

fof(f70,definition,
    ( ~ sP16
    | ( op(e2,e0) != e2
      & op(e2,e2) = e0
      & op(e3,e3) != e0
      & op(e3,e0) = e3 ) ),
    introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).

fof(f71,definition,
    ( ~ sP17
    | ( op(e1,e0) != e1
      & op(e1,e1) = e0
      & op(e3,e3) != e0
      & op(e3,e0) = e3 ) ),
    introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).

fof(f72,definition,
    ( ~ sP18
    | ( op(e0,e0) != e0
      & op(e0,e0) = e0
      & op(e3,e3) != e0
      & op(e3,e0) = e3 ) ),
    introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).

fof(f73,definition,
    ( ~ sP19
    | ( op(e3,e3) != e3
      & op(e3,e3) = e3
      & op(e2,e2) != e3
      & op(e2,e3) = e2 ) ),
    introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).

fof(f74,definition,
    ( ~ sP20
    | ( op(e2,e3) != e2
      & op(e2,e2) = e3
      & op(e2,e2) != e3
      & op(e2,e3) = e2 ) ),
    introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).

fof(f75,definition,
    ( ~ sP21
    | ( op(e1,e3) != e1
      & op(e1,e1) = e3
      & op(e2,e2) != e3
      & op(e2,e3) = e2 ) ),
    introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).

fof(f76,definition,
    ( ~ sP22
    | ( op(e0,e3) != e0
      & op(e0,e0) = e3
      & op(e2,e2) != e3
      & op(e2,e3) = e2 ) ),
    introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).

fof(f77,definition,
    ( ~ sP23
    | ( op(e3,e2) != e3
      & op(e3,e3) = e2
      & op(e2,e2) != e2
      & op(e2,e2) = e2 ) ),
    introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).

fof(f78,definition,
    ( ~ sP24
    | ( op(e2,e2) != e2
      & op(e2,e2) = e2
      & op(e2,e2) != e2
      & op(e2,e2) = e2 ) ),
    introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).

fof(f79,definition,
    ( ~ sP25
    | ( op(e1,e2) != e1
      & op(e1,e1) = e2
      & op(e2,e2) != e2
      & op(e2,e2) = e2 ) ),
    introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).

fof(f80,definition,
    ( ~ sP26
    | ( op(e0,e2) != e0
      & op(e0,e0) = e2
      & op(e2,e2) != e2
      & op(e2,e2) = e2 ) ),
    introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).

fof(f81,definition,
    ( ~ sP27
    | ( op(e3,e1) != e3
      & op(e3,e3) = e1
      & op(e2,e2) != e1
      & op(e2,e1) = e2 ) ),
    introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).

fof(f82,definition,
    ( ~ sP28
    | ( op(e2,e1) != e2
      & op(e2,e2) = e1
      & op(e2,e2) != e1
      & op(e2,e1) = e2 ) ),
    introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).

fof(f83,definition,
    ( ~ sP29
    | ( op(e1,e1) != e1
      & op(e1,e1) = e1
      & op(e2,e2) != e1
      & op(e2,e1) = e2 ) ),
    introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).

fof(f84,definition,
    ( ~ sP30
    | ( op(e0,e1) != e0
      & op(e0,e0) = e1
      & op(e2,e2) != e1
      & op(e2,e1) = e2 ) ),
    introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).

fof(f85,definition,
    ( ~ sP31
    | ( op(e3,e0) != e3
      & op(e3,e3) = e0
      & op(e2,e2) != e0
      & op(e2,e0) = e2 ) ),
    introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).

fof(f86,definition,
    ( ~ sP32
    | ( op(e2,e0) != e2
      & op(e2,e2) = e0
      & op(e2,e2) != e0
      & op(e2,e0) = e2 ) ),
    introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).

fof(f87,definition,
    ( ~ sP33
    | ( op(e1,e0) != e1
      & op(e1,e1) = e0
      & op(e2,e2) != e0
      & op(e2,e0) = e2 ) ),
    introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).

fof(f88,definition,
    ( ~ sP34
    | ( op(e0,e0) != e0
      & op(e0,e0) = e0
      & op(e2,e2) != e0
      & op(e2,e0) = e2 ) ),
    introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).

fof(f89,definition,
    ( ~ sP35
    | ( op(e3,e3) != e3
      & op(e3,e3) = e3
      & op(e1,e1) != e3
      & op(e1,e3) = e1 ) ),
    introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).

fof(f90,definition,
    ( ~ sP36
    | ( op(e2,e3) != e2
      & op(e2,e2) = e3
      & op(e1,e1) != e3
      & op(e1,e3) = e1 ) ),
    introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).

fof(f91,definition,
    ( ~ sP37
    | ( op(e1,e3) != e1
      & op(e1,e1) = e3
      & op(e1,e1) != e3
      & op(e1,e3) = e1 ) ),
    introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).

fof(f92,definition,
    ( ~ sP38
    | ( op(e0,e3) != e0
      & op(e0,e0) = e3
      & op(e1,e1) != e3
      & op(e1,e3) = e1 ) ),
    introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).

fof(f93,definition,
    ( ~ sP39
    | ( op(e3,e2) != e3
      & op(e3,e3) = e2
      & op(e1,e1) != e2
      & op(e1,e2) = e1 ) ),
    introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).

fof(f94,definition,
    ( ~ sP40
    | ( op(e2,e2) != e2
      & op(e2,e2) = e2
      & op(e1,e1) != e2
      & op(e1,e2) = e1 ) ),
    introduced(definition,[new_symbols(definition,[sP40])],[predicate_definition_introduction]) ).

fof(f95,definition,
    ( ~ sP41
    | ( op(e1,e2) != e1
      & op(e1,e1) = e2
      & op(e1,e1) != e2
      & op(e1,e2) = e1 ) ),
    introduced(definition,[new_symbols(definition,[sP41])],[predicate_definition_introduction]) ).

fof(f96,definition,
    ( ~ sP42
    | ( op(e0,e2) != e0
      & op(e0,e0) = e2
      & op(e1,e1) != e2
      & op(e1,e2) = e1 ) ),
    introduced(definition,[new_symbols(definition,[sP42])],[predicate_definition_introduction]) ).

fof(f97,definition,
    ( ~ sP43
    | ( op(e3,e1) != e3
      & op(e3,e3) = e1
      & op(e1,e1) != e1
      & op(e1,e1) = e1 ) ),
    introduced(definition,[new_symbols(definition,[sP43])],[predicate_definition_introduction]) ).

fof(f98,definition,
    ( ~ sP44
    | ( op(e2,e1) != e2
      & op(e2,e2) = e1
      & op(e1,e1) != e1
      & op(e1,e1) = e1 ) ),
    introduced(definition,[new_symbols(definition,[sP44])],[predicate_definition_introduction]) ).

fof(f99,definition,
    ( ~ sP45
    | ( op(e1,e1) != e1
      & op(e1,e1) = e1
      & op(e1,e1) != e1
      & op(e1,e1) = e1 ) ),
    introduced(definition,[new_symbols(definition,[sP45])],[predicate_definition_introduction]) ).

fof(f100,definition,
    ( ~ sP46
    | ( op(e0,e1) != e0
      & op(e0,e0) = e1
      & op(e1,e1) != e1
      & op(e1,e1) = e1 ) ),
    introduced(definition,[new_symbols(definition,[sP46])],[predicate_definition_introduction]) ).

fof(f101,definition,
    ( ~ sP47
    | ( op(e3,e0) != e3
      & op(e3,e3) = e0
      & op(e1,e1) != e0
      & op(e1,e0) = e1 ) ),
    introduced(definition,[new_symbols(definition,[sP47])],[predicate_definition_introduction]) ).

fof(f102,definition,
    ( ~ sP48
    | ( op(e2,e0) != e2
      & op(e2,e2) = e0
      & op(e1,e1) != e0
      & op(e1,e0) = e1 ) ),
    introduced(definition,[new_symbols(definition,[sP48])],[predicate_definition_introduction]) ).

fof(f103,definition,
    ( ~ sP49
    | ( op(e1,e0) != e1
      & op(e1,e1) = e0
      & op(e1,e1) != e0
      & op(e1,e0) = e1 ) ),
    introduced(definition,[new_symbols(definition,[sP49])],[predicate_definition_introduction]) ).

fof(f104,definition,
    ( ~ sP50
    | ( op(e0,e0) != e0
      & op(e0,e0) = e0
      & op(e1,e1) != e0
      & op(e1,e0) = e1 ) ),
    introduced(definition,[new_symbols(definition,[sP50])],[predicate_definition_introduction]) ).

fof(f105,definition,
    ( ~ sP51
    | ( op(e3,e3) != e3
      & op(e3,e3) = e3
      & op(e0,e0) != e3
      & op(e0,e3) = e0 ) ),
    introduced(definition,[new_symbols(definition,[sP51])],[predicate_definition_introduction]) ).

fof(f106,definition,
    ( ~ sP52
    | ( op(e2,e3) != e2
      & op(e2,e2) = e3
      & op(e0,e0) != e3
      & op(e0,e3) = e0 ) ),
    introduced(definition,[new_symbols(definition,[sP52])],[predicate_definition_introduction]) ).

fof(f107,definition,
    ( ~ sP53
    | ( op(e1,e3) != e1
      & op(e1,e1) = e3
      & op(e0,e0) != e3
      & op(e0,e3) = e0 ) ),
    introduced(definition,[new_symbols(definition,[sP53])],[predicate_definition_introduction]) ).

fof(f108,definition,
    ( ~ sP54
    | ( op(e0,e3) != e0
      & op(e0,e0) = e3
      & op(e0,e0) != e3
      & op(e0,e3) = e0 ) ),
    introduced(definition,[new_symbols(definition,[sP54])],[predicate_definition_introduction]) ).

fof(f109,definition,
    ( ~ sP55
    | ( op(e3,e2) != e3
      & op(e3,e3) = e2
      & op(e0,e0) != e2
      & op(e0,e2) = e0 ) ),
    introduced(definition,[new_symbols(definition,[sP55])],[predicate_definition_introduction]) ).

fof(f110,definition,
    ( ~ sP56
    | ( op(e2,e2) != e2
      & op(e2,e2) = e2
      & op(e0,e0) != e2
      & op(e0,e2) = e0 ) ),
    introduced(definition,[new_symbols(definition,[sP56])],[predicate_definition_introduction]) ).

fof(f111,definition,
    ( ~ sP57
    | ( op(e1,e2) != e1
      & op(e1,e1) = e2
      & op(e0,e0) != e2
      & op(e0,e2) = e0 ) ),
    introduced(definition,[new_symbols(definition,[sP57])],[predicate_definition_introduction]) ).

fof(f112,definition,
    ( ~ sP58
    | ( op(e0,e2) != e0
      & op(e0,e0) = e2
      & op(e0,e0) != e2
      & op(e0,e2) = e0 ) ),
    introduced(definition,[new_symbols(definition,[sP58])],[predicate_definition_introduction]) ).

fof(f113,definition,
    ( ~ sP59
    | ( op(e3,e1) != e3
      & op(e3,e3) = e1
      & op(e0,e0) != e1
      & op(e0,e1) = e0 ) ),
    introduced(definition,[new_symbols(definition,[sP59])],[predicate_definition_introduction]) ).

fof(f114,definition,
    ( ~ sP60
    | ( op(e2,e1) != e2
      & op(e2,e2) = e1
      & op(e0,e0) != e1
      & op(e0,e1) = e0 ) ),
    introduced(definition,[new_symbols(definition,[sP60])],[predicate_definition_introduction]) ).

fof(f115,definition,
    ( ~ sP61
    | ( op(e1,e1) != e1
      & op(e1,e1) = e1
      & op(e0,e0) != e1
      & op(e0,e1) = e0 ) ),
    introduced(definition,[new_symbols(definition,[sP61])],[predicate_definition_introduction]) ).

fof(f116,definition,
    ( ~ sP62
    | ( op(e0,e1) != e0
      & op(e0,e0) = e1
      & op(e0,e0) != e1
      & op(e0,e1) = e0 ) ),
    introduced(definition,[new_symbols(definition,[sP62])],[predicate_definition_introduction]) ).

fof(f117,definition,
    ( ~ sP63
    | ( op(e3,e0) != e3
      & op(e3,e3) = e0
      & op(e0,e0) != e0
      & op(e0,e0) = e0 ) ),
    introduced(definition,[new_symbols(definition,[sP63])],[predicate_definition_introduction]) ).

fof(f118,definition,
    ( ~ sP64
    | ( op(e2,e0) != e2
      & op(e2,e2) = e0
      & op(e0,e0) != e0
      & op(e0,e0) = e0 ) ),
    introduced(definition,[new_symbols(definition,[sP64])],[predicate_definition_introduction]) ).

fof(f119,definition,
    ( ~ sP65
    | ( op(e1,e0) != e1
      & op(e1,e1) = e0
      & op(e0,e0) != e0
      & op(e0,e0) = e0 ) ),
    introduced(definition,[new_symbols(definition,[sP65])],[predicate_definition_introduction]) ).

fof(f120,plain,
    ( ( sP0
      | sP1
      | sP2
      | ( ( op(e3,e0) = e3
          | op(e3,e3) != e0 )
        & ( op(e2,e0) = e2
          | op(e2,e2) != e0 )
        & ( op(e1,e0) = e1
          | op(e1,e1) != e0 )
        & ( op(e0,e0) = e0
          | op(e0,e0) != e0 )
        & op(e0,op(e0,e3)) = e3
        & op(e0,op(e0,e2)) = e2
        & op(e0,op(e0,e1)) = e1
        & op(e0,op(e0,e0)) = e0 ) )
    & ( sP3
      | sP4
      | sP5
      | sP6
      | sP7
      | sP8
      | sP9
      | sP10
      | sP11
      | sP12
      | sP13
      | sP14
      | sP15
      | sP16
      | sP17
      | sP18
      | sP19
      | sP20
      | sP21
      | sP22
      | sP23
      | sP24
      | sP25
      | sP26
      | sP27
      | sP28
      | sP29
      | sP30
      | sP31
      | sP32
      | sP33
      | sP34
      | sP35
      | sP36
      | sP37
      | sP38
      | sP39
      | sP40
      | sP41
      | sP42
      | sP43
      | sP44
      | sP45
      | sP46
      | sP47
      | sP48
      | sP49
      | sP50
      | sP51
      | sP52
      | sP53
      | sP54
      | sP55
      | sP56
      | sP57
      | sP58
      | sP59
      | sP60
      | sP61
      | sP62
      | sP63
      | sP64
      | sP65
      | ( op(e0,e0) != e0
        & op(e0,e0) = e0
        & op(e0,e0) != e0
        & op(e0,e0) = e0 ) ) ),
    inference(definition_folding,[],[f5,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54]) ).

fof(f186,plain,
    ( ~ sP0
    | ( ( op(e3,e3) = e3
        | op(e3,e3) != e3 )
      & ( op(e2,e3) = e2
        | op(e2,e2) != e3 )
      & ( op(e1,e3) = e1
        | op(e1,e1) != e3 )
      & ( op(e0,e3) = e0
        | op(e0,e0) != e3 )
      & op(e3,op(e3,e3)) = e3
      & op(e3,op(e3,e2)) = e2
      & op(e3,op(e3,e1)) = e1
      & op(e3,op(e3,e0)) = e0 ) ),
    inference(nnf_transformation,[],[f54]) ).

fof(f558,plain,
    ( ~ sP0
    | e2 = op(e2,e3)
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f559,plain,
    ( ~ sP0
    | e1 = op(e1,e3)
    | e3 != op(e1,e1) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f560,plain,
    ( ~ sP0
    | e0 = op(e0,e3)
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f186]) ).

fof(f561,plain,
    ( ~ sP0
    | e3 = op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f562,plain,
    ( ~ sP0
    | e2 = op(e3,op(e3,e2)) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f563,plain,
    ( ~ sP0
    | e1 = op(e3,op(e3,e1)) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f564,plain,
    ( ~ sP0
    | e0 = op(e3,op(e3,e0)) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_417,plain,
    ( ( op(e3,op(e3,e0)) = e0 )
    | ~ sP0 ),
    inference(cnf_transformation,[],[f564]) ).

tcf(c_418,plain,
    ( ( op(e3,op(e3,e1)) = e1 )
    | ~ sP0 ),
    inference(cnf_transformation,[],[f563]) ).

tcf(c_419,plain,
    ( ( op(e3,op(e3,e2)) = e2 )
    | ~ sP0 ),
    inference(cnf_transformation,[],[f562]) ).

tcf(c_420,plain,
    ( ( op(e3,op(e3,e3)) = e3 )
    | ~ sP0 ),
    inference(cnf_transformation,[],[f561]) ).

tcf(c_421,plain,
    ( ( op(e0,e3) = e0 )
    | ~ sP0
    | ( op(e0,e0) != e3 ) ),
    inference(cnf_transformation,[],[f560]) ).

tcf(c_422,plain,
    ( ( op(e1,e3) = e1 )
    | ~ sP0
    | ( op(e1,e1) != e3 ) ),
    inference(cnf_transformation,[],[f559]) ).

tcf(c_423,plain,
    ( ( op(e2,e3) = e2 )
    | ~ sP0
    | ( op(e2,e2) != e3 ) ),
    inference(cnf_transformation,[],[f558]) ).

tcf(c_3660,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_778,c_458,c_457,c_456,c_455,c_454,c_453,c_452,c_451,c_450,c_449,c_448,c_447,c_446,c_445,c_444,c_443,c_442,c_441,c_440,c_439,c_438,c_437,c_436,c_435,c_434,c_433,c_432,c_431,c_430,c_429,c_428,c_423,c_422,c_421,c_420,c_419,c_418,c_417,c_416,c_415,c_414,c_413,c_412,c_411,c_410,c_409,c_408,c_407,c_406,c_405,c_404,c_403,c_378,c_377,c_376,c_375,c_374,c_373,c_372,c_371,c_366,c_365,c_364,c_363,c_358,c_357,c_356,c_355,c_350,c_349,c_348,c_347,c_346,c_345,c_344,c_343,c_330,c_329,c_328,c_327,c_326,c_325,c_324,c_323,c_306,c_305,c_304,c_303,c_294,c_293,c_292,c_291,c_290,c_289,c_288,c_287,c_282,c_281,c_280,c_279,c_270,c_269,c_268,c_267,c_262,c_261,c_260,c_259,c_258,c_257,c_256,c_255,c_246,c_245,c_244,c_243,c_226,c_225,c_224,c_223,c_222,c_221,c_220,c_219,c_206,c_205,c_204,c_203,c_202,c_201,c_200,c_199,c_194,c_193,c_192,c_191,c_186,c_185,c_184,c_183,c_178,c_177,c_176,c_175,c_174,c_173,c_172,c_171,c_150,c_149,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_141,c_140,c_139,c_138,c_137,c_136,c_135,c_134,c_133,c_132,c_131,c_130,c_129,c_128,c_127,c_126,c_125,c_124,c_123,c_122,c_121,c_120,c_119,c_118,c_117,c_116,c_115,c_114,c_113,c_112,c_111,c_110,c_109,c_108,c_107,c_106,c_105,c_104,c_103,c_102,c_101,c_100,c_99,c_98,c_97,c_96,c_95,c_94,c_93,c_92,c_91,c_90,c_89,c_88,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ALG154+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.35  % Computer : n002.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Fri Sep 25 04:58:04 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.40  Running first-order theorem proving
% 0.16/0.40  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.41  
% 0.16/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.41  
% 0.16/0.41  % Detected problem language: tptp
% 0.16/0.43  % Proving...
% 3.38/1.29  % SZS status Started for theBenchmark.p
% 3.38/1.29  % SZS status Unsatisfiable for theBenchmark.p
% 3.38/1.29  
% 3.38/1.29  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.38/1.29  
% 3.38/1.29  % ------  iProver source info
% 3.38/1.29  
% 3.38/1.29  % git: date: 2026-07-19 20:42:38 +0200
% 3.38/1.29  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.38/1.29  % git: non_committed_changes: false
% 3.38/1.29  
% 3.38/1.29  % ------ Parsing...
% 3.38/1.29  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.38/1.29  
% 3.38/1.29  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 39 0s  sf_e  pe_s  pe_e % 
% 3.38/1.29  
% 3.38/1.29  % ------ Preprocessing...% 
% 3.38/1.29  
% 3.38/1.29  % SZS status Unsatisfiable for theBenchmark.p
% 3.38/1.29  
% 3.38/1.29  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.29/1.31  
% 4.29/1.31  
%------------------------------------------------------------------------------