TSTP Solution File: ALG064+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : ALG064+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 14 16:47:32 EDT 2022

% Result   : Theorem 0.31s 17.49s
% Output   : CNFRefutation 0.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  319 ( 104 unt;   0 def)
%            Number of atoms       : 2861 (2326 equ)
%            Maximal formula atoms :  250 (   8 avg)
%            Number of connectives : 3888 (1346   ~;1791   |; 735   &)
%                                         (   8 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  101 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   9 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ~ ( ( op(e0,e0) = e0
        | op(e1,e1) = e0
        | op(e2,e2) = e0
        | op(e3,e3) = e0
        | op(e4,e4) = e0 )
      & ( op(e0,e0) = e1
        | op(e1,e1) = e1
        | op(e2,e2) = e1
        | op(e3,e3) = e1
        | op(e4,e4) = e1 )
      & ( op(e0,e0) = e2
        | op(e1,e1) = e2
        | op(e2,e2) = e2
        | op(e3,e3) = e2
        | op(e4,e4) = e2 )
      & ( op(e0,e0) = e3
        | op(e1,e1) = e3
        | op(e2,e2) = e3
        | op(e3,e3) = e3
        | op(e4,e4) = e3 )
      & ( op(e0,e0) = e4
        | op(e1,e1) = e4
        | op(e2,e2) = e4
        | op(e3,e3) = e4
        | op(e4,e4) = e4 )
      & ( ( op(e0,e0) != op(e0,e0)
          & op(op(e0,e0),e0) = e0
          & op(op(e0,e0),e0) != e0 )
        | ( op(e1,e0) != op(e0,e1)
          & op(op(e0,e1),e1) = e0
          & op(op(e0,e1),e0) != e1 )
        | ( op(e2,e0) != op(e0,e2)
          & op(op(e0,e2),e2) = e0
          & op(op(e0,e2),e0) != e2 )
        | ( op(e3,e0) != op(e0,e3)
          & op(op(e0,e3),e3) = e0
          & op(op(e0,e3),e0) != e3 )
        | ( op(e4,e0) != op(e0,e4)
          & op(op(e0,e4),e4) = e0
          & op(op(e0,e4),e0) != e4 )
        | ( op(e0,e1) != op(e1,e0)
          & op(op(e1,e0),e0) = e1
          & op(op(e1,e0),e1) != e0 )
        | ( op(e1,e1) != op(e1,e1)
          & op(op(e1,e1),e1) = e1
          & op(op(e1,e1),e1) != e1 )
        | ( op(e2,e1) != op(e1,e2)
          & op(op(e1,e2),e2) = e1
          & op(op(e1,e2),e1) != e2 )
        | ( op(e3,e1) != op(e1,e3)
          & op(op(e1,e3),e3) = e1
          & op(op(e1,e3),e1) != e3 )
        | ( op(e4,e1) != op(e1,e4)
          & op(op(e1,e4),e4) = e1
          & op(op(e1,e4),e1) != e4 )
        | ( op(e0,e2) != op(e2,e0)
          & op(op(e2,e0),e0) = e2
          & op(op(e2,e0),e2) != e0 )
        | ( op(e1,e2) != op(e2,e1)
          & op(op(e2,e1),e1) = e2
          & op(op(e2,e1),e2) != e1 )
        | ( op(e2,e2) != op(e2,e2)
          & op(op(e2,e2),e2) = e2
          & op(op(e2,e2),e2) != e2 )
        | ( op(e3,e2) != op(e2,e3)
          & op(op(e2,e3),e3) = e2
          & op(op(e2,e3),e2) != e3 )
        | ( op(e4,e2) != op(e2,e4)
          & op(op(e2,e4),e4) = e2
          & op(op(e2,e4),e2) != e4 )
        | ( op(e0,e3) != op(e3,e0)
          & op(op(e3,e0),e0) = e3
          & op(op(e3,e0),e3) != e0 )
        | ( op(e1,e3) != op(e3,e1)
          & op(op(e3,e1),e1) = e3
          & op(op(e3,e1),e3) != e1 )
        | ( op(e2,e3) != op(e3,e2)
          & op(op(e3,e2),e2) = e3
          & op(op(e3,e2),e3) != e2 )
        | ( op(e3,e3) != op(e3,e3)
          & op(op(e3,e3),e3) = e3
          & op(op(e3,e3),e3) != e3 )
        | ( op(e4,e3) != op(e3,e4)
          & op(op(e3,e4),e4) = e3
          & op(op(e3,e4),e3) != e4 )
        | ( op(e0,e4) != op(e4,e0)
          & op(op(e4,e0),e0) = e4
          & op(op(e4,e0),e4) != e0 )
        | ( op(e1,e4) != op(e4,e1)
          & op(op(e4,e1),e1) = e4
          & op(op(e4,e1),e4) != e1 )
        | ( op(e2,e4) != op(e4,e2)
          & op(op(e4,e2),e2) = e4
          & op(op(e4,e2),e4) != e2 )
        | ( op(e3,e4) != op(e4,e3)
          & op(op(e4,e3),e3) = e4
          & op(op(e4,e3),e4) != e3 )
        | ( op(e4,e4) != op(e4,e4)
          & op(op(e4,e4),e4) = e4
          & op(op(e4,e4),e4) != e4 ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',co1) ).

fof(ax6,axiom,
    ( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
    & e2 = op(op(e1,e1),op(e1,e1))
    & e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
    & e4 = op(e1,e1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',ax6) ).

fof(ax5,axiom,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e0 != e4
    & e1 != e2
    & e1 != e3
    & e1 != e4
    & e2 != e3
    & e2 != e4
    & e3 != e4 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',ax5) ).

fof(ax2,axiom,
    ( op(unit,e0) = e0
    & op(e0,unit) = e0
    & op(unit,e1) = e1
    & op(e1,unit) = e1
    & op(unit,e2) = e2
    & op(e2,unit) = e2
    & op(unit,e3) = e3
    & op(e3,unit) = e3
    & op(unit,e4) = e4
    & op(e4,unit) = e4
    & ( unit = e0
      | unit = e1
      | unit = e2
      | unit = e3
      | unit = e4 ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',ax2) ).

fof(ax4,axiom,
    ( op(e0,e0) != op(e1,e0)
    & op(e0,e0) != op(e2,e0)
    & op(e0,e0) != op(e3,e0)
    & op(e0,e0) != op(e4,e0)
    & op(e1,e0) != op(e2,e0)
    & op(e1,e0) != op(e3,e0)
    & op(e1,e0) != op(e4,e0)
    & op(e2,e0) != op(e3,e0)
    & op(e2,e0) != op(e4,e0)
    & op(e3,e0) != op(e4,e0)
    & op(e0,e1) != op(e1,e1)
    & op(e0,e1) != op(e2,e1)
    & op(e0,e1) != op(e3,e1)
    & op(e0,e1) != op(e4,e1)
    & op(e1,e1) != op(e2,e1)
    & op(e1,e1) != op(e3,e1)
    & op(e1,e1) != op(e4,e1)
    & op(e2,e1) != op(e3,e1)
    & op(e2,e1) != op(e4,e1)
    & op(e3,e1) != op(e4,e1)
    & op(e0,e2) != op(e1,e2)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e2) != op(e3,e2)
    & op(e0,e2) != op(e4,e2)
    & op(e1,e2) != op(e2,e2)
    & op(e1,e2) != op(e3,e2)
    & op(e1,e2) != op(e4,e2)
    & op(e2,e2) != op(e3,e2)
    & op(e2,e2) != op(e4,e2)
    & op(e3,e2) != op(e4,e2)
    & op(e0,e3) != op(e1,e3)
    & op(e0,e3) != op(e2,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e0,e3) != op(e4,e3)
    & op(e1,e3) != op(e2,e3)
    & op(e1,e3) != op(e3,e3)
    & op(e1,e3) != op(e4,e3)
    & op(e2,e3) != op(e3,e3)
    & op(e2,e3) != op(e4,e3)
    & op(e3,e3) != op(e4,e3)
    & op(e0,e4) != op(e1,e4)
    & op(e0,e4) != op(e2,e4)
    & op(e0,e4) != op(e3,e4)
    & op(e0,e4) != op(e4,e4)
    & op(e1,e4) != op(e2,e4)
    & op(e1,e4) != op(e3,e4)
    & op(e1,e4) != op(e4,e4)
    & op(e2,e4) != op(e3,e4)
    & op(e2,e4) != op(e4,e4)
    & op(e3,e4) != op(e4,e4)
    & op(e0,e0) != op(e0,e1)
    & op(e0,e0) != op(e0,e2)
    & op(e0,e0) != op(e0,e3)
    & op(e0,e0) != op(e0,e4)
    & op(e0,e1) != op(e0,e2)
    & op(e0,e1) != op(e0,e3)
    & op(e0,e1) != op(e0,e4)
    & op(e0,e2) != op(e0,e3)
    & op(e0,e2) != op(e0,e4)
    & op(e0,e3) != op(e0,e4)
    & op(e1,e0) != op(e1,e1)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e0) != op(e1,e3)
    & op(e1,e0) != op(e1,e4)
    & op(e1,e1) != op(e1,e2)
    & op(e1,e1) != op(e1,e3)
    & op(e1,e1) != op(e1,e4)
    & op(e1,e2) != op(e1,e3)
    & op(e1,e2) != op(e1,e4)
    & op(e1,e3) != op(e1,e4)
    & op(e2,e0) != op(e2,e1)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e2,e3)
    & op(e2,e0) != op(e2,e4)
    & op(e2,e1) != op(e2,e2)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e1) != op(e2,e4)
    & op(e2,e2) != op(e2,e3)
    & op(e2,e2) != op(e2,e4)
    & op(e2,e3) != op(e2,e4)
    & op(e3,e0) != op(e3,e1)
    & op(e3,e0) != op(e3,e2)
    & op(e3,e0) != op(e3,e3)
    & op(e3,e0) != op(e3,e4)
    & op(e3,e1) != op(e3,e2)
    & op(e3,e1) != op(e3,e3)
    & op(e3,e1) != op(e3,e4)
    & op(e3,e2) != op(e3,e3)
    & op(e3,e2) != op(e3,e4)
    & op(e3,e3) != op(e3,e4)
    & op(e4,e0) != op(e4,e1)
    & op(e4,e0) != op(e4,e2)
    & op(e4,e0) != op(e4,e3)
    & op(e4,e0) != op(e4,e4)
    & op(e4,e1) != op(e4,e2)
    & op(e4,e1) != op(e4,e3)
    & op(e4,e1) != op(e4,e4)
    & op(e4,e2) != op(e4,e3)
    & op(e4,e2) != op(e4,e4)
    & op(e4,e3) != op(e4,e4) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',ax4) ).

fof(ax1,axiom,
    ( ( op(e0,e0) = e0
      | op(e0,e0) = e1
      | op(e0,e0) = e2
      | op(e0,e0) = e3
      | op(e0,e0) = e4 )
    & ( op(e0,e1) = e0
      | op(e0,e1) = e1
      | op(e0,e1) = e2
      | op(e0,e1) = e3
      | op(e0,e1) = e4 )
    & ( op(e0,e2) = e0
      | op(e0,e2) = e1
      | op(e0,e2) = e2
      | op(e0,e2) = e3
      | op(e0,e2) = e4 )
    & ( op(e0,e3) = e0
      | op(e0,e3) = e1
      | op(e0,e3) = e2
      | op(e0,e3) = e3
      | op(e0,e3) = e4 )
    & ( op(e0,e4) = e0
      | op(e0,e4) = e1
      | op(e0,e4) = e2
      | op(e0,e4) = e3
      | op(e0,e4) = e4 )
    & ( op(e1,e0) = e0
      | op(e1,e0) = e1
      | op(e1,e0) = e2
      | op(e1,e0) = e3
      | op(e1,e0) = e4 )
    & ( op(e1,e1) = e0
      | op(e1,e1) = e1
      | op(e1,e1) = e2
      | op(e1,e1) = e3
      | op(e1,e1) = e4 )
    & ( op(e1,e2) = e0
      | op(e1,e2) = e1
      | op(e1,e2) = e2
      | op(e1,e2) = e3
      | op(e1,e2) = e4 )
    & ( op(e1,e3) = e0
      | op(e1,e3) = e1
      | op(e1,e3) = e2
      | op(e1,e3) = e3
      | op(e1,e3) = e4 )
    & ( op(e1,e4) = e0
      | op(e1,e4) = e1
      | op(e1,e4) = e2
      | op(e1,e4) = e3
      | op(e1,e4) = e4 )
    & ( op(e2,e0) = e0
      | op(e2,e0) = e1
      | op(e2,e0) = e2
      | op(e2,e0) = e3
      | op(e2,e0) = e4 )
    & ( op(e2,e1) = e0
      | op(e2,e1) = e1
      | op(e2,e1) = e2
      | op(e2,e1) = e3
      | op(e2,e1) = e4 )
    & ( op(e2,e2) = e0
      | op(e2,e2) = e1
      | op(e2,e2) = e2
      | op(e2,e2) = e3
      | op(e2,e2) = e4 )
    & ( op(e2,e3) = e0
      | op(e2,e3) = e1
      | op(e2,e3) = e2
      | op(e2,e3) = e3
      | op(e2,e3) = e4 )
    & ( op(e2,e4) = e0
      | op(e2,e4) = e1
      | op(e2,e4) = e2
      | op(e2,e4) = e3
      | op(e2,e4) = e4 )
    & ( op(e3,e0) = e0
      | op(e3,e0) = e1
      | op(e3,e0) = e2
      | op(e3,e0) = e3
      | op(e3,e0) = e4 )
    & ( op(e3,e1) = e0
      | op(e3,e1) = e1
      | op(e3,e1) = e2
      | op(e3,e1) = e3
      | op(e3,e1) = e4 )
    & ( op(e3,e2) = e0
      | op(e3,e2) = e1
      | op(e3,e2) = e2
      | op(e3,e2) = e3
      | op(e3,e2) = e4 )
    & ( op(e3,e3) = e0
      | op(e3,e3) = e1
      | op(e3,e3) = e2
      | op(e3,e3) = e3
      | op(e3,e3) = e4 )
    & ( op(e3,e4) = e0
      | op(e3,e4) = e1
      | op(e3,e4) = e2
      | op(e3,e4) = e3
      | op(e3,e4) = e4 )
    & ( op(e4,e0) = e0
      | op(e4,e0) = e1
      | op(e4,e0) = e2
      | op(e4,e0) = e3
      | op(e4,e0) = e4 )
    & ( op(e4,e1) = e0
      | op(e4,e1) = e1
      | op(e4,e1) = e2
      | op(e4,e1) = e3
      | op(e4,e1) = e4 )
    & ( op(e4,e2) = e0
      | op(e4,e2) = e1
      | op(e4,e2) = e2
      | op(e4,e2) = e3
      | op(e4,e2) = e4 )
    & ( op(e4,e3) = e0
      | op(e4,e3) = e1
      | op(e4,e3) = e2
      | op(e4,e3) = e3
      | op(e4,e3) = e4 )
    & ( op(e4,e4) = e0
      | op(e4,e4) = e1
      | op(e4,e4) = e2
      | op(e4,e4) = e3
      | op(e4,e4) = e4 ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',ax1) ).

fof(ax3,axiom,
    ( ( op(e0,e0) = e0
      | op(e0,e1) = e0
      | op(e0,e2) = e0
      | op(e0,e3) = e0
      | op(e0,e4) = e0 )
    & ( op(e0,e0) = e0
      | op(e1,e0) = e0
      | op(e2,e0) = e0
      | op(e3,e0) = e0
      | op(e4,e0) = e0 )
    & ( op(e0,e0) = e1
      | op(e0,e1) = e1
      | op(e0,e2) = e1
      | op(e0,e3) = e1
      | op(e0,e4) = e1 )
    & ( op(e0,e0) = e1
      | op(e1,e0) = e1
      | op(e2,e0) = e1
      | op(e3,e0) = e1
      | op(e4,e0) = e1 )
    & ( op(e0,e0) = e2
      | op(e0,e1) = e2
      | op(e0,e2) = e2
      | op(e0,e3) = e2
      | op(e0,e4) = e2 )
    & ( op(e0,e0) = e2
      | op(e1,e0) = e2
      | op(e2,e0) = e2
      | op(e3,e0) = e2
      | op(e4,e0) = e2 )
    & ( op(e0,e0) = e3
      | op(e0,e1) = e3
      | op(e0,e2) = e3
      | op(e0,e3) = e3
      | op(e0,e4) = e3 )
    & ( op(e0,e0) = e3
      | op(e1,e0) = e3
      | op(e2,e0) = e3
      | op(e3,e0) = e3
      | op(e4,e0) = e3 )
    & ( op(e0,e0) = e4
      | op(e0,e1) = e4
      | op(e0,e2) = e4
      | op(e0,e3) = e4
      | op(e0,e4) = e4 )
    & ( op(e0,e0) = e4
      | op(e1,e0) = e4
      | op(e2,e0) = e4
      | op(e3,e0) = e4
      | op(e4,e0) = e4 )
    & ( op(e1,e0) = e0
      | op(e1,e1) = e0
      | op(e1,e2) = e0
      | op(e1,e3) = e0
      | op(e1,e4) = e0 )
    & ( op(e0,e1) = e0
      | op(e1,e1) = e0
      | op(e2,e1) = e0
      | op(e3,e1) = e0
      | op(e4,e1) = e0 )
    & ( op(e1,e0) = e1
      | op(e1,e1) = e1
      | op(e1,e2) = e1
      | op(e1,e3) = e1
      | op(e1,e4) = e1 )
    & ( op(e0,e1) = e1
      | op(e1,e1) = e1
      | op(e2,e1) = e1
      | op(e3,e1) = e1
      | op(e4,e1) = e1 )
    & ( op(e1,e0) = e2
      | op(e1,e1) = e2
      | op(e1,e2) = e2
      | op(e1,e3) = e2
      | op(e1,e4) = e2 )
    & ( op(e0,e1) = e2
      | op(e1,e1) = e2
      | op(e2,e1) = e2
      | op(e3,e1) = e2
      | op(e4,e1) = e2 )
    & ( op(e1,e0) = e3
      | op(e1,e1) = e3
      | op(e1,e2) = e3
      | op(e1,e3) = e3
      | op(e1,e4) = e3 )
    & ( op(e0,e1) = e3
      | op(e1,e1) = e3
      | op(e2,e1) = e3
      | op(e3,e1) = e3
      | op(e4,e1) = e3 )
    & ( op(e1,e0) = e4
      | op(e1,e1) = e4
      | op(e1,e2) = e4
      | op(e1,e3) = e4
      | op(e1,e4) = e4 )
    & ( op(e0,e1) = e4
      | op(e1,e1) = e4
      | op(e2,e1) = e4
      | op(e3,e1) = e4
      | op(e4,e1) = e4 )
    & ( op(e2,e0) = e0
      | op(e2,e1) = e0
      | op(e2,e2) = e0
      | op(e2,e3) = e0
      | op(e2,e4) = e0 )
    & ( op(e0,e2) = e0
      | op(e1,e2) = e0
      | op(e2,e2) = e0
      | op(e3,e2) = e0
      | op(e4,e2) = e0 )
    & ( op(e2,e0) = e1
      | op(e2,e1) = e1
      | op(e2,e2) = e1
      | op(e2,e3) = e1
      | op(e2,e4) = e1 )
    & ( op(e0,e2) = e1
      | op(e1,e2) = e1
      | op(e2,e2) = e1
      | op(e3,e2) = e1
      | op(e4,e2) = e1 )
    & ( op(e2,e0) = e2
      | op(e2,e1) = e2
      | op(e2,e2) = e2
      | op(e2,e3) = e2
      | op(e2,e4) = e2 )
    & ( op(e0,e2) = e2
      | op(e1,e2) = e2
      | op(e2,e2) = e2
      | op(e3,e2) = e2
      | op(e4,e2) = e2 )
    & ( op(e2,e0) = e3
      | op(e2,e1) = e3
      | op(e2,e2) = e3
      | op(e2,e3) = e3
      | op(e2,e4) = e3 )
    & ( op(e0,e2) = e3
      | op(e1,e2) = e3
      | op(e2,e2) = e3
      | op(e3,e2) = e3
      | op(e4,e2) = e3 )
    & ( op(e2,e0) = e4
      | op(e2,e1) = e4
      | op(e2,e2) = e4
      | op(e2,e3) = e4
      | op(e2,e4) = e4 )
    & ( op(e0,e2) = e4
      | op(e1,e2) = e4
      | op(e2,e2) = e4
      | op(e3,e2) = e4
      | op(e4,e2) = e4 )
    & ( op(e3,e0) = e0
      | op(e3,e1) = e0
      | op(e3,e2) = e0
      | op(e3,e3) = e0
      | op(e3,e4) = e0 )
    & ( op(e0,e3) = e0
      | op(e1,e3) = e0
      | op(e2,e3) = e0
      | op(e3,e3) = e0
      | op(e4,e3) = e0 )
    & ( op(e3,e0) = e1
      | op(e3,e1) = e1
      | op(e3,e2) = e1
      | op(e3,e3) = e1
      | op(e3,e4) = e1 )
    & ( op(e0,e3) = e1
      | op(e1,e3) = e1
      | op(e2,e3) = e1
      | op(e3,e3) = e1
      | op(e4,e3) = e1 )
    & ( op(e3,e0) = e2
      | op(e3,e1) = e2
      | op(e3,e2) = e2
      | op(e3,e3) = e2
      | op(e3,e4) = e2 )
    & ( op(e0,e3) = e2
      | op(e1,e3) = e2
      | op(e2,e3) = e2
      | op(e3,e3) = e2
      | op(e4,e3) = e2 )
    & ( op(e3,e0) = e3
      | op(e3,e1) = e3
      | op(e3,e2) = e3
      | op(e3,e3) = e3
      | op(e3,e4) = e3 )
    & ( op(e0,e3) = e3
      | op(e1,e3) = e3
      | op(e2,e3) = e3
      | op(e3,e3) = e3
      | op(e4,e3) = e3 )
    & ( op(e3,e0) = e4
      | op(e3,e1) = e4
      | op(e3,e2) = e4
      | op(e3,e3) = e4
      | op(e3,e4) = e4 )
    & ( op(e0,e3) = e4
      | op(e1,e3) = e4
      | op(e2,e3) = e4
      | op(e3,e3) = e4
      | op(e4,e3) = e4 )
    & ( op(e4,e0) = e0
      | op(e4,e1) = e0
      | op(e4,e2) = e0
      | op(e4,e3) = e0
      | op(e4,e4) = e0 )
    & ( op(e0,e4) = e0
      | op(e1,e4) = e0
      | op(e2,e4) = e0
      | op(e3,e4) = e0
      | op(e4,e4) = e0 )
    & ( op(e4,e0) = e1
      | op(e4,e1) = e1
      | op(e4,e2) = e1
      | op(e4,e3) = e1
      | op(e4,e4) = e1 )
    & ( op(e0,e4) = e1
      | op(e1,e4) = e1
      | op(e2,e4) = e1
      | op(e3,e4) = e1
      | op(e4,e4) = e1 )
    & ( op(e4,e0) = e2
      | op(e4,e1) = e2
      | op(e4,e2) = e2
      | op(e4,e3) = e2
      | op(e4,e4) = e2 )
    & ( op(e0,e4) = e2
      | op(e1,e4) = e2
      | op(e2,e4) = e2
      | op(e3,e4) = e2
      | op(e4,e4) = e2 )
    & ( op(e4,e0) = e3
      | op(e4,e1) = e3
      | op(e4,e2) = e3
      | op(e4,e3) = e3
      | op(e4,e4) = e3 )
    & ( op(e0,e4) = e3
      | op(e1,e4) = e3
      | op(e2,e4) = e3
      | op(e3,e4) = e3
      | op(e4,e4) = e3 )
    & ( op(e4,e0) = e4
      | op(e4,e1) = e4
      | op(e4,e2) = e4
      | op(e4,e3) = e4
      | op(e4,e4) = e4 )
    & ( op(e0,e4) = e4
      | op(e1,e4) = e4
      | op(e2,e4) = e4
      | op(e3,e4) = e4
      | op(e4,e4) = e4 ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',ax3) ).

fof(c_0_7,plain,
    ( epred8_0
  <=> ( ( op(e0,e0) != op(e0,e0)
        & op(op(e0,e0),e0) = e0
        & op(op(e0,e0),e0) != e0 )
      | ( op(e1,e0) != op(e0,e1)
        & op(op(e0,e1),e1) = e0
        & op(op(e0,e1),e0) != e1 )
      | ( op(e2,e0) != op(e0,e2)
        & op(op(e0,e2),e2) = e0
        & op(op(e0,e2),e0) != e2 )
      | ( op(e3,e0) != op(e0,e3)
        & op(op(e0,e3),e3) = e0
        & op(op(e0,e3),e0) != e3 )
      | ( op(e4,e0) != op(e0,e4)
        & op(op(e0,e4),e4) = e0
        & op(op(e0,e4),e0) != e4 )
      | ( op(e0,e1) != op(e1,e0)
        & op(op(e1,e0),e0) = e1
        & op(op(e1,e0),e1) != e0 )
      | ( op(e1,e1) != op(e1,e1)
        & op(op(e1,e1),e1) = e1
        & op(op(e1,e1),e1) != e1 )
      | ( op(e2,e1) != op(e1,e2)
        & op(op(e1,e2),e2) = e1
        & op(op(e1,e2),e1) != e2 )
      | ( op(e3,e1) != op(e1,e3)
        & op(op(e1,e3),e3) = e1
        & op(op(e1,e3),e1) != e3 )
      | ( op(e4,e1) != op(e1,e4)
        & op(op(e1,e4),e4) = e1
        & op(op(e1,e4),e1) != e4 )
      | ( op(e0,e2) != op(e2,e0)
        & op(op(e2,e0),e0) = e2
        & op(op(e2,e0),e2) != e0 )
      | ( op(e1,e2) != op(e2,e1)
        & op(op(e2,e1),e1) = e2
        & op(op(e2,e1),e2) != e1 )
      | ( op(e2,e2) != op(e2,e2)
        & op(op(e2,e2),e2) = e2
        & op(op(e2,e2),e2) != e2 )
      | ( op(e3,e2) != op(e2,e3)
        & op(op(e2,e3),e3) = e2
        & op(op(e2,e3),e2) != e3 )
      | ( op(e4,e2) != op(e2,e4)
        & op(op(e2,e4),e4) = e2
        & op(op(e2,e4),e2) != e4 )
      | ( op(e0,e3) != op(e3,e0)
        & op(op(e3,e0),e0) = e3
        & op(op(e3,e0),e3) != e0 )
      | ( op(e1,e3) != op(e3,e1)
        & op(op(e3,e1),e1) = e3
        & op(op(e3,e1),e3) != e1 )
      | ( op(e2,e3) != op(e3,e2)
        & op(op(e3,e2),e2) = e3
        & op(op(e3,e2),e3) != e2 )
      | ( op(e3,e3) != op(e3,e3)
        & op(op(e3,e3),e3) = e3
        & op(op(e3,e3),e3) != e3 )
      | ( op(e4,e3) != op(e3,e4)
        & op(op(e3,e4),e4) = e3
        & op(op(e3,e4),e3) != e4 )
      | ( op(e0,e4) != op(e4,e0)
        & op(op(e4,e0),e0) = e4
        & op(op(e4,e0),e4) != e0 )
      | ( op(e1,e4) != op(e4,e1)
        & op(op(e4,e1),e1) = e4
        & op(op(e4,e1),e4) != e1 )
      | ( op(e2,e4) != op(e4,e2)
        & op(op(e4,e2),e2) = e4
        & op(op(e4,e2),e4) != e2 )
      | ( op(e3,e4) != op(e4,e3)
        & op(op(e4,e3),e3) = e4
        & op(op(e4,e3),e4) != e3 ) ) ),
    introduced(definition) ).

fof(c_0_8,negated_conjecture,
    ~ ~ ( ( op(e0,e0) = e0
          | op(e1,e1) = e0
          | op(e2,e2) = e0
          | op(e3,e3) = e0
          | op(e4,e4) = e0 )
        & ( op(e0,e0) = e1
          | op(e1,e1) = e1
          | op(e2,e2) = e1
          | op(e3,e3) = e1
          | op(e4,e4) = e1 )
        & ( op(e0,e0) = e2
          | op(e1,e1) = e2
          | op(e2,e2) = e2
          | op(e3,e3) = e2
          | op(e4,e4) = e2 )
        & ( op(e0,e0) = e3
          | op(e1,e1) = e3
          | op(e2,e2) = e3
          | op(e3,e3) = e3
          | op(e4,e4) = e3 )
        & ( op(e0,e0) = e4
          | op(e1,e1) = e4
          | op(e2,e2) = e4
          | op(e3,e3) = e4
          | op(e4,e4) = e4 )
        & ( epred8_0
          | ( op(e4,e4) != op(e4,e4)
            & op(op(e4,e4),e4) = e4
            & op(op(e4,e4),e4) != e4 ) ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[co1]),c_0_7]) ).

fof(c_0_9,negated_conjecture,
    ( ( op(e0,e0) = e0
      | op(e1,e1) = e0
      | op(e2,e2) = e0
      | op(e3,e3) = e0
      | op(e4,e4) = e0 )
    & ( op(e0,e0) = e1
      | op(e1,e1) = e1
      | op(e2,e2) = e1
      | op(e3,e3) = e1
      | op(e4,e4) = e1 )
    & ( op(e0,e0) = e2
      | op(e1,e1) = e2
      | op(e2,e2) = e2
      | op(e3,e3) = e2
      | op(e4,e4) = e2 )
    & ( op(e0,e0) = e3
      | op(e1,e1) = e3
      | op(e2,e2) = e3
      | op(e3,e3) = e3
      | op(e4,e4) = e3 )
    & ( op(e0,e0) = e4
      | op(e1,e1) = e4
      | op(e2,e2) = e4
      | op(e3,e3) = e4
      | op(e4,e4) = e4 )
    & ( op(e4,e4) != op(e4,e4)
      | epred8_0 )
    & ( op(op(e4,e4),e4) = e4
      | epred8_0 )
    & ( op(op(e4,e4),e4) != e4
      | epred8_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])]) ).

cnf(c_0_10,plain,
    e2 = op(op(e1,e1),op(e1,e1)),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_11,plain,
    e4 = op(e1,e1),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_12,negated_conjecture,
    ( op(e4,e4) = e0
    | op(e3,e3) = e0
    | op(e2,e2) = e0
    | op(e1,e1) = e0
    | op(e0,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,plain,
    op(e4,e4) = e2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_11]) ).

cnf(c_0_14,plain,
    e0 != e4,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_15,plain,
    e0 != e2,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_16,plain,
    e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_17,plain,
    op(e4,unit) = e4,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_18,plain,
    ( unit = e4
    | unit = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_19,plain,
    e2 != e4,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_20,negated_conjecture,
    ( op(e3,e3) = e0
    | op(e2,e2) = e0
    | op(e0,e0) = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_11]),c_0_13]),c_0_14]),c_0_15]) ).

cnf(c_0_21,plain,
    op(e2,e2) = e3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_11]),c_0_11]),c_0_13]),c_0_11]),c_0_11]),c_0_13]) ).

cnf(c_0_22,plain,
    e0 != e3,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_23,plain,
    op(e0,unit) = e0,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_24,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | unit = e3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_13]),c_0_19]) ).

fof(c_0_25,plain,
    ( epred1_0
  <=> ( ( op(e0,e0) != op(e0,e0)
        & op(op(e0,e0),e0) = e0
        & op(op(e0,e0),e0) != e0 )
      | ( op(e1,e0) != op(e0,e1)
        & op(op(e0,e1),e1) = e0
        & op(op(e0,e1),e0) != e1 )
      | ( op(e2,e0) != op(e0,e2)
        & op(op(e0,e2),e2) = e0
        & op(op(e0,e2),e0) != e2 ) ) ),
    introduced(definition) ).

cnf(c_0_26,plain,
    op(e0,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_27,negated_conjecture,
    ( op(e0,e0) = e0
    | op(e3,e3) = e0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).

cnf(c_0_28,plain,
    op(e0,e0) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_29,plain,
    ( op(e0,e3) = e0
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_30,plain,
    e0 = op(e1,op(op(e1,e1),op(e1,e1))),
    inference(split_conjunct,[status(thm)],[ax6]) ).

fof(c_0_31,plain,
    ( epred1_0
   => ( ( op(e0,e0) != op(e0,e0)
        & op(op(e0,e0),e0) = e0
        & op(op(e0,e0),e0) != e0 )
      | ( op(e1,e0) != op(e0,e1)
        & op(op(e0,e1),e1) = e0
        & op(op(e0,e1),e0) != e1 )
      | ( op(e2,e0) != op(e0,e2)
        & op(op(e0,e2),e2) = e0
        & op(op(e0,e2),e0) != e2 ) ) ),
    inference(split_equiv,[status(thm)],[c_0_25]) ).

cnf(c_0_32,negated_conjecture,
    ( op(e0,e0) = e0
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_33,plain,
    ( unit = e0
    | unit = e1
    | unit = e2
    | op(e0,e0) != e0 ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_34,plain,
    op(e0,e2) != op(e1,e2),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_35,plain,
    op(e1,e2) = e0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_11]),c_0_11]),c_0_13]) ).

fof(c_0_36,plain,
    ( ( op(e2,e0) != op(e0,e2)
      | op(e1,e0) != op(e0,e1)
      | op(e0,e0) != op(e0,e0)
      | ~ epred1_0 )
    & ( op(op(e0,e2),e2) = e0
      | op(e1,e0) != op(e0,e1)
      | op(e0,e0) != op(e0,e0)
      | ~ epred1_0 )
    & ( op(op(e0,e2),e0) != e2
      | op(e1,e0) != op(e0,e1)
      | op(e0,e0) != op(e0,e0)
      | ~ epred1_0 )
    & ( op(e2,e0) != op(e0,e2)
      | op(op(e0,e1),e1) = e0
      | op(e0,e0) != op(e0,e0)
      | ~ epred1_0 )
    & ( op(op(e0,e2),e2) = e0
      | op(op(e0,e1),e1) = e0
      | op(e0,e0) != op(e0,e0)
      | ~ epred1_0 )
    & ( op(op(e0,e2),e0) != e2
      | op(op(e0,e1),e1) = e0
      | op(e0,e0) != op(e0,e0)
      | ~ epred1_0 )
    & ( op(e2,e0) != op(e0,e2)
      | op(op(e0,e1),e0) != e1
      | op(e0,e0) != op(e0,e0)
      | ~ epred1_0 )
    & ( op(op(e0,e2),e2) = e0
      | op(op(e0,e1),e0) != e1
      | op(e0,e0) != op(e0,e0)
      | ~ epred1_0 )
    & ( op(op(e0,e2),e0) != e2
      | op(op(e0,e1),e0) != e1
      | op(e0,e0) != op(e0,e0)
      | ~ epred1_0 )
    & ( op(e2,e0) != op(e0,e2)
      | op(e1,e0) != op(e0,e1)
      | op(op(e0,e0),e0) = e0
      | ~ epred1_0 )
    & ( op(op(e0,e2),e2) = e0
      | op(e1,e0) != op(e0,e1)
      | op(op(e0,e0),e0) = e0
      | ~ epred1_0 )
    & ( op(op(e0,e2),e0) != e2
      | op(e1,e0) != op(e0,e1)
      | op(op(e0,e0),e0) = e0
      | ~ epred1_0 )
    & ( op(e2,e0) != op(e0,e2)
      | op(op(e0,e1),e1) = e0
      | op(op(e0,e0),e0) = e0
      | ~ epred1_0 )
    & ( op(op(e0,e2),e2) = e0
      | op(op(e0,e1),e1) = e0
      | op(op(e0,e0),e0) = e0
      | ~ epred1_0 )
    & ( op(op(e0,e2),e0) != e2
      | op(op(e0,e1),e1) = e0
      | op(op(e0,e0),e0) = e0
      | ~ epred1_0 )
    & ( op(e2,e0) != op(e0,e2)
      | op(op(e0,e1),e0) != e1
      | op(op(e0,e0),e0) = e0
      | ~ epred1_0 )
    & ( op(op(e0,e2),e2) = e0
      | op(op(e0,e1),e0) != e1
      | op(op(e0,e0),e0) = e0
      | ~ epred1_0 )
    & ( op(op(e0,e2),e0) != e2
      | op(op(e0,e1),e0) != e1
      | op(op(e0,e0),e0) = e0
      | ~ epred1_0 )
    & ( op(e2,e0) != op(e0,e2)
      | op(e1,e0) != op(e0,e1)
      | op(op(e0,e0),e0) != e0
      | ~ epred1_0 )
    & ( op(op(e0,e2),e2) = e0
      | op(e1,e0) != op(e0,e1)
      | op(op(e0,e0),e0) != e0
      | ~ epred1_0 )
    & ( op(op(e0,e2),e0) != e2
      | op(e1,e0) != op(e0,e1)
      | op(op(e0,e0),e0) != e0
      | ~ epred1_0 )
    & ( op(e2,e0) != op(e0,e2)
      | op(op(e0,e1),e1) = e0
      | op(op(e0,e0),e0) != e0
      | ~ epred1_0 )
    & ( op(op(e0,e2),e2) = e0
      | op(op(e0,e1),e1) = e0
      | op(op(e0,e0),e0) != e0
      | ~ epred1_0 )
    & ( op(op(e0,e2),e0) != e2
      | op(op(e0,e1),e1) = e0
      | op(op(e0,e0),e0) != e0
      | ~ epred1_0 )
    & ( op(e2,e0) != op(e0,e2)
      | op(op(e0,e1),e0) != e1
      | op(op(e0,e0),e0) != e0
      | ~ epred1_0 )
    & ( op(op(e0,e2),e2) = e0
      | op(op(e0,e1),e0) != e1
      | op(op(e0,e0),e0) != e0
      | ~ epred1_0 )
    & ( op(op(e0,e2),e0) != e2
      | op(op(e0,e1),e0) != e1
      | op(op(e0,e0),e0) != e0
      | ~ epred1_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).

cnf(c_0_37,negated_conjecture,
    ( unit = e0
    | unit = e1
    | unit = e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_29]),c_0_33]) ).

cnf(c_0_38,plain,
    op(e0,e2) != e0,
    inference(rw,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_39,plain,
    ( op(op(e0,e1),e1) = e0
    | ~ epred1_0
    | $false
    | op(e2,e0) != op(e0,e2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_40,plain,
    op(unit,e1) = e1,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_41,negated_conjecture,
    ( unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_37]),c_0_38]) ).

cnf(c_0_42,plain,
    ( op(op(e0,e1),e1) = e0
    | op(e2,e0) != op(e0,e2)
    | ~ epred1_0 ),
    inference(cn,[status(thm)],[c_0_39]) ).

cnf(c_0_43,negated_conjecture,
    ( op(e0,e1) = e1
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_44,plain,
    op(e2,unit) = e2,
    inference(split_conjunct,[status(thm)],[ax2]) ).

fof(c_0_45,plain,
    ( epred2_0
  <=> ( ( op(e0,e0) != op(e0,e0)
        & op(op(e0,e0),e0) = e0
        & op(op(e0,e0),e0) != e0 )
      | ( op(e1,e0) != op(e0,e1)
        & op(op(e0,e1),e1) = e0
        & op(op(e0,e1),e0) != e1 )
      | ( op(e2,e0) != op(e0,e2)
        & op(op(e0,e2),e2) = e0
        & op(op(e0,e2),e0) != e2 )
      | ( op(e3,e0) != op(e0,e3)
        & op(op(e0,e3),e3) = e0
        & op(op(e0,e3),e0) != e3 )
      | ( op(e4,e0) != op(e0,e4)
        & op(op(e0,e4),e4) = e0
        & op(op(e0,e4),e0) != e4 )
      | ( op(e0,e1) != op(e1,e0)
        & op(op(e1,e0),e0) = e1
        & op(op(e1,e0),e1) != e0 ) ) ),
    introduced(definition) ).

cnf(c_0_46,plain,
    ( unit = e1
    | op(e2,e0) != op(e0,e2)
    | ~ epred1_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_11]),c_0_14]) ).

cnf(c_0_47,negated_conjecture,
    ( op(e2,e0) = e2
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_44,c_0_41]) ).

cnf(c_0_48,plain,
    op(unit,e2) = e2,
    inference(split_conjunct,[status(thm)],[ax2]) ).

fof(c_0_49,plain,
    ( epred2_0
   => ( epred1_0
      | ( op(e3,e0) != op(e0,e3)
        & op(op(e0,e3),e3) = e0
        & op(op(e0,e3),e0) != e3 )
      | ( op(e4,e0) != op(e0,e4)
        & op(op(e0,e4),e4) = e0
        & op(op(e0,e4),e0) != e4 )
      | ( op(e0,e1) != op(e1,e0)
        & op(op(e1,e0),e0) = e1
        & op(op(e1,e0),e1) != e0 ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_45]),c_0_25]) ).

cnf(c_0_50,negated_conjecture,
    ( unit = e1
    | op(e0,e2) != e2
    | ~ epred1_0 ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_51,negated_conjecture,
    ( op(e0,e2) = e2
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_48,c_0_41]) ).

cnf(c_0_52,plain,
    op(e2,e4) != op(e4,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

fof(c_0_53,plain,
    ( epred3_0
  <=> ( ( op(e0,e0) != op(e0,e0)
        & op(op(e0,e0),e0) = e0
        & op(op(e0,e0),e0) != e0 )
      | ( op(e1,e0) != op(e0,e1)
        & op(op(e0,e1),e1) = e0
        & op(op(e0,e1),e0) != e1 )
      | ( op(e2,e0) != op(e0,e2)
        & op(op(e0,e2),e2) = e0
        & op(op(e0,e2),e0) != e2 )
      | ( op(e3,e0) != op(e0,e3)
        & op(op(e0,e3),e3) = e0
        & op(op(e0,e3),e0) != e3 )
      | ( op(e4,e0) != op(e0,e4)
        & op(op(e0,e4),e4) = e0
        & op(op(e0,e4),e0) != e4 )
      | ( op(e0,e1) != op(e1,e0)
        & op(op(e1,e0),e0) = e1
        & op(op(e1,e0),e1) != e0 )
      | ( op(e1,e1) != op(e1,e1)
        & op(op(e1,e1),e1) = e1
        & op(op(e1,e1),e1) != e1 )
      | ( op(e2,e1) != op(e1,e2)
        & op(op(e1,e2),e2) = e1
        & op(op(e1,e2),e1) != e2 )
      | ( op(e3,e1) != op(e1,e3)
        & op(op(e1,e3),e3) = e1
        & op(op(e1,e3),e1) != e3 ) ) ),
    introduced(definition) ).

cnf(c_0_54,negated_conjecture,
    ( op(e4,e4) = e1
    | op(e3,e3) = e1
    | op(e2,e2) = e1
    | op(e1,e1) = e1
    | op(e0,e0) = e1 ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_55,plain,
    e1 != e4,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_56,plain,
    e1 != e2,
    inference(split_conjunct,[status(thm)],[ax5]) ).

fof(c_0_57,plain,
    ( ( op(e0,e1) != op(e1,e0)
      | op(e4,e0) != op(e0,e4)
      | op(e3,e0) != op(e0,e3)
      | epred1_0
      | ~ epred2_0 )
    & ( op(op(e1,e0),e0) = e1
      | op(e4,e0) != op(e0,e4)
      | op(e3,e0) != op(e0,e3)
      | epred1_0
      | ~ epred2_0 )
    & ( op(op(e1,e0),e1) != e0
      | op(e4,e0) != op(e0,e4)
      | op(e3,e0) != op(e0,e3)
      | epred1_0
      | ~ epred2_0 )
    & ( op(e0,e1) != op(e1,e0)
      | op(op(e0,e4),e4) = e0
      | op(e3,e0) != op(e0,e3)
      | epred1_0
      | ~ epred2_0 )
    & ( op(op(e1,e0),e0) = e1
      | op(op(e0,e4),e4) = e0
      | op(e3,e0) != op(e0,e3)
      | epred1_0
      | ~ epred2_0 )
    & ( op(op(e1,e0),e1) != e0
      | op(op(e0,e4),e4) = e0
      | op(e3,e0) != op(e0,e3)
      | epred1_0
      | ~ epred2_0 )
    & ( op(e0,e1) != op(e1,e0)
      | op(op(e0,e4),e0) != e4
      | op(e3,e0) != op(e0,e3)
      | epred1_0
      | ~ epred2_0 )
    & ( op(op(e1,e0),e0) = e1
      | op(op(e0,e4),e0) != e4
      | op(e3,e0) != op(e0,e3)
      | epred1_0
      | ~ epred2_0 )
    & ( op(op(e1,e0),e1) != e0
      | op(op(e0,e4),e0) != e4
      | op(e3,e0) != op(e0,e3)
      | epred1_0
      | ~ epred2_0 )
    & ( op(e0,e1) != op(e1,e0)
      | op(e4,e0) != op(e0,e4)
      | op(op(e0,e3),e3) = e0
      | epred1_0
      | ~ epred2_0 )
    & ( op(op(e1,e0),e0) = e1
      | op(e4,e0) != op(e0,e4)
      | op(op(e0,e3),e3) = e0
      | epred1_0
      | ~ epred2_0 )
    & ( op(op(e1,e0),e1) != e0
      | op(e4,e0) != op(e0,e4)
      | op(op(e0,e3),e3) = e0
      | epred1_0
      | ~ epred2_0 )
    & ( op(e0,e1) != op(e1,e0)
      | op(op(e0,e4),e4) = e0
      | op(op(e0,e3),e3) = e0
      | epred1_0
      | ~ epred2_0 )
    & ( op(op(e1,e0),e0) = e1
      | op(op(e0,e4),e4) = e0
      | op(op(e0,e3),e3) = e0
      | epred1_0
      | ~ epred2_0 )
    & ( op(op(e1,e0),e1) != e0
      | op(op(e0,e4),e4) = e0
      | op(op(e0,e3),e3) = e0
      | epred1_0
      | ~ epred2_0 )
    & ( op(e0,e1) != op(e1,e0)
      | op(op(e0,e4),e0) != e4
      | op(op(e0,e3),e3) = e0
      | epred1_0
      | ~ epred2_0 )
    & ( op(op(e1,e0),e0) = e1
      | op(op(e0,e4),e0) != e4
      | op(op(e0,e3),e3) = e0
      | epred1_0
      | ~ epred2_0 )
    & ( op(op(e1,e0),e1) != e0
      | op(op(e0,e4),e0) != e4
      | op(op(e0,e3),e3) = e0
      | epred1_0
      | ~ epred2_0 )
    & ( op(e0,e1) != op(e1,e0)
      | op(e4,e0) != op(e0,e4)
      | op(op(e0,e3),e0) != e3
      | epred1_0
      | ~ epred2_0 )
    & ( op(op(e1,e0),e0) = e1
      | op(e4,e0) != op(e0,e4)
      | op(op(e0,e3),e0) != e3
      | epred1_0
      | ~ epred2_0 )
    & ( op(op(e1,e0),e1) != e0
      | op(e4,e0) != op(e0,e4)
      | op(op(e0,e3),e0) != e3
      | epred1_0
      | ~ epred2_0 )
    & ( op(e0,e1) != op(e1,e0)
      | op(op(e0,e4),e4) = e0
      | op(op(e0,e3),e0) != e3
      | epred1_0
      | ~ epred2_0 )
    & ( op(op(e1,e0),e0) = e1
      | op(op(e0,e4),e4) = e0
      | op(op(e0,e3),e0) != e3
      | epred1_0
      | ~ epred2_0 )
    & ( op(op(e1,e0),e1) != e0
      | op(op(e0,e4),e4) = e0
      | op(op(e0,e3),e0) != e3
      | epred1_0
      | ~ epred2_0 )
    & ( op(e0,e1) != op(e1,e0)
      | op(op(e0,e4),e0) != e4
      | op(op(e0,e3),e0) != e3
      | epred1_0
      | ~ epred2_0 )
    & ( op(op(e1,e0),e0) = e1
      | op(op(e0,e4),e0) != e4
      | op(op(e0,e3),e0) != e3
      | epred1_0
      | ~ epred2_0 )
    & ( op(op(e1,e0),e1) != e0
      | op(op(e0,e4),e0) != e4
      | op(op(e0,e3),e0) != e3
      | epred1_0
      | ~ epred2_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])]) ).

cnf(c_0_58,plain,
    op(unit,e4) = e4,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_59,plain,
    op(e1,unit) = e1,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_60,negated_conjecture,
    ( unit = e1
    | ~ epred1_0 ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_61,plain,
    ( op(e2,e4) = e4
    | op(e2,e4) = e3
    | op(e2,e4) = e2
    | op(e2,e4) = e1
    | op(e2,e4) = e0 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_62,plain,
    op(e2,e4) != e2,
    inference(rw,[status(thm)],[c_0_52,c_0_13]) ).

cnf(c_0_63,plain,
    op(e2,e2) != op(e2,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

fof(c_0_64,plain,
    ( epred3_0
   => ( epred2_0
      | ( op(e1,e1) != op(e1,e1)
        & op(op(e1,e1),e1) = e1
        & op(op(e1,e1),e1) != e1 )
      | ( op(e2,e1) != op(e1,e2)
        & op(op(e1,e2),e2) = e1
        & op(op(e1,e2),e1) != e2 )
      | ( op(e3,e1) != op(e1,e3)
        & op(op(e1,e3),e3) = e1
        & op(op(e1,e3),e1) != e3 ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_53]),c_0_45]) ).

cnf(c_0_65,plain,
    op(e1,e1) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_66,negated_conjecture,
    ( op(e3,e3) = e1
    | op(e2,e2) = e1
    | op(e0,e0) = e1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_11]),c_0_13]),c_0_55]),c_0_56]) ).

cnf(c_0_67,plain,
    e1 != e3,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_68,plain,
    ( epred1_0
    | op(op(e0,e4),e4) = e0
    | ~ epred2_0
    | op(e3,e0) != op(e0,e3)
    | op(e0,e1) != op(e1,e0) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_69,negated_conjecture,
    ( op(e0,e4) = e4
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_58,c_0_41]) ).

cnf(c_0_70,negated_conjecture,
    ~ epred1_0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_11]),c_0_55]) ).

cnf(c_0_71,plain,
    op(e3,unit) = e3,
    inference(split_conjunct,[status(thm)],[ax2]) ).

cnf(c_0_72,plain,
    op(unit,e3) = e3,
    inference(split_conjunct,[status(thm)],[ax2]) ).

fof(c_0_73,plain,
    ( epred4_0
  <=> ( ( op(e0,e0) != op(e0,e0)
        & op(op(e0,e0),e0) = e0
        & op(op(e0,e0),e0) != e0 )
      | ( op(e1,e0) != op(e0,e1)
        & op(op(e0,e1),e1) = e0
        & op(op(e0,e1),e0) != e1 )
      | ( op(e2,e0) != op(e0,e2)
        & op(op(e0,e2),e2) = e0
        & op(op(e0,e2),e0) != e2 )
      | ( op(e3,e0) != op(e0,e3)
        & op(op(e0,e3),e3) = e0
        & op(op(e0,e3),e0) != e3 )
      | ( op(e4,e0) != op(e0,e4)
        & op(op(e0,e4),e4) = e0
        & op(op(e0,e4),e0) != e4 )
      | ( op(e0,e1) != op(e1,e0)
        & op(op(e1,e0),e0) = e1
        & op(op(e1,e0),e1) != e0 )
      | ( op(e1,e1) != op(e1,e1)
        & op(op(e1,e1),e1) = e1
        & op(op(e1,e1),e1) != e1 )
      | ( op(e2,e1) != op(e1,e2)
        & op(op(e1,e2),e2) = e1
        & op(op(e1,e2),e1) != e2 )
      | ( op(e3,e1) != op(e1,e3)
        & op(op(e1,e3),e3) = e1
        & op(op(e1,e3),e1) != e3 )
      | ( op(e4,e1) != op(e1,e4)
        & op(op(e1,e4),e4) = e1
        & op(op(e1,e4),e1) != e4 )
      | ( op(e0,e2) != op(e2,e0)
        & op(op(e2,e0),e0) = e2
        & op(op(e2,e0),e2) != e0 )
      | ( op(e1,e2) != op(e2,e1)
        & op(op(e2,e1),e1) = e2
        & op(op(e2,e1),e2) != e1 ) ) ),
    introduced(definition) ).

cnf(c_0_74,plain,
    op(e1,e4) != op(e4,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_75,plain,
    op(e1,e1) != op(e1,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_76,plain,
    ( op(e2,e4) = e4
    | op(e2,e4) = e3
    | op(e2,e4) = e1
    | op(e2,e4) = e0 ),
    inference(sr,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_77,plain,
    op(e2,e4) != e3,
    inference(rw,[status(thm)],[c_0_63,c_0_21]) ).

fof(c_0_78,plain,
    ( ( op(e3,e1) != op(e1,e3)
      | op(e2,e1) != op(e1,e2)
      | op(e1,e1) != op(e1,e1)
      | epred2_0
      | ~ epred3_0 )
    & ( op(op(e1,e3),e3) = e1
      | op(e2,e1) != op(e1,e2)
      | op(e1,e1) != op(e1,e1)
      | epred2_0
      | ~ epred3_0 )
    & ( op(op(e1,e3),e1) != e3
      | op(e2,e1) != op(e1,e2)
      | op(e1,e1) != op(e1,e1)
      | epred2_0
      | ~ epred3_0 )
    & ( op(e3,e1) != op(e1,e3)
      | op(op(e1,e2),e2) = e1
      | op(e1,e1) != op(e1,e1)
      | epred2_0
      | ~ epred3_0 )
    & ( op(op(e1,e3),e3) = e1
      | op(op(e1,e2),e2) = e1
      | op(e1,e1) != op(e1,e1)
      | epred2_0
      | ~ epred3_0 )
    & ( op(op(e1,e3),e1) != e3
      | op(op(e1,e2),e2) = e1
      | op(e1,e1) != op(e1,e1)
      | epred2_0
      | ~ epred3_0 )
    & ( op(e3,e1) != op(e1,e3)
      | op(op(e1,e2),e1) != e2
      | op(e1,e1) != op(e1,e1)
      | epred2_0
      | ~ epred3_0 )
    & ( op(op(e1,e3),e3) = e1
      | op(op(e1,e2),e1) != e2
      | op(e1,e1) != op(e1,e1)
      | epred2_0
      | ~ epred3_0 )
    & ( op(op(e1,e3),e1) != e3
      | op(op(e1,e2),e1) != e2
      | op(e1,e1) != op(e1,e1)
      | epred2_0
      | ~ epred3_0 )
    & ( op(e3,e1) != op(e1,e3)
      | op(e2,e1) != op(e1,e2)
      | op(op(e1,e1),e1) = e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(op(e1,e3),e3) = e1
      | op(e2,e1) != op(e1,e2)
      | op(op(e1,e1),e1) = e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(op(e1,e3),e1) != e3
      | op(e2,e1) != op(e1,e2)
      | op(op(e1,e1),e1) = e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(e3,e1) != op(e1,e3)
      | op(op(e1,e2),e2) = e1
      | op(op(e1,e1),e1) = e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(op(e1,e3),e3) = e1
      | op(op(e1,e2),e2) = e1
      | op(op(e1,e1),e1) = e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(op(e1,e3),e1) != e3
      | op(op(e1,e2),e2) = e1
      | op(op(e1,e1),e1) = e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(e3,e1) != op(e1,e3)
      | op(op(e1,e2),e1) != e2
      | op(op(e1,e1),e1) = e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(op(e1,e3),e3) = e1
      | op(op(e1,e2),e1) != e2
      | op(op(e1,e1),e1) = e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(op(e1,e3),e1) != e3
      | op(op(e1,e2),e1) != e2
      | op(op(e1,e1),e1) = e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(e3,e1) != op(e1,e3)
      | op(e2,e1) != op(e1,e2)
      | op(op(e1,e1),e1) != e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(op(e1,e3),e3) = e1
      | op(e2,e1) != op(e1,e2)
      | op(op(e1,e1),e1) != e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(op(e1,e3),e1) != e3
      | op(e2,e1) != op(e1,e2)
      | op(op(e1,e1),e1) != e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(e3,e1) != op(e1,e3)
      | op(op(e1,e2),e2) = e1
      | op(op(e1,e1),e1) != e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(op(e1,e3),e3) = e1
      | op(op(e1,e2),e2) = e1
      | op(op(e1,e1),e1) != e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(op(e1,e3),e1) != e3
      | op(op(e1,e2),e2) = e1
      | op(op(e1,e1),e1) != e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(e3,e1) != op(e1,e3)
      | op(op(e1,e2),e1) != e2
      | op(op(e1,e1),e1) != e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(op(e1,e3),e3) = e1
      | op(op(e1,e2),e1) != e2
      | op(op(e1,e1),e1) != e1
      | epred2_0
      | ~ epred3_0 )
    & ( op(op(e1,e3),e1) != e3
      | op(op(e1,e2),e1) != e2
      | op(op(e1,e1),e1) != e1
      | epred2_0
      | ~ epred3_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])]) ).

cnf(c_0_79,plain,
    ( op(e1,e3) = e4
    | op(e1,e3) = e3
    | op(e1,e3) = e2
    | op(e1,e3) = e1
    | op(e1,e3) = e0 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_80,plain,
    op(e1,e3) != e4,
    inference(rw,[status(thm)],[c_0_65,c_0_11]) ).

cnf(c_0_81,plain,
    op(e1,e2) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_82,plain,
    op(e1,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_83,negated_conjecture,
    ( op(e0,e0) = e1
    | op(e3,e3) = e1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_21]),c_0_67]) ).

cnf(c_0_84,plain,
    ( unit = e1
    | op(e0,e1) != op(e1,e0)
    | op(e3,e0) != op(e0,e3)
    | ~ epred2_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_13]),c_0_15]),c_0_70]) ).

cnf(c_0_85,negated_conjecture,
    ( op(e3,e0) = e3
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_71,c_0_41]) ).

cnf(c_0_86,negated_conjecture,
    ( op(e0,e3) = e3
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_72,c_0_41]) ).

fof(c_0_87,plain,
    ( epred4_0
   => ( epred3_0
      | ( op(e4,e1) != op(e1,e4)
        & op(op(e1,e4),e4) = e1
        & op(op(e1,e4),e1) != e4 )
      | ( op(e0,e2) != op(e2,e0)
        & op(op(e2,e0),e0) = e2
        & op(op(e2,e0),e2) != e0 )
      | ( op(e1,e2) != op(e2,e1)
        & op(op(e2,e1),e1) = e2
        & op(op(e2,e1),e2) != e1 ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_73]),c_0_53]) ).

cnf(c_0_88,plain,
    ( op(e1,e4) = e4
    | op(e1,e4) = e3
    | op(e1,e4) = e2
    | op(e1,e4) = e1
    | op(e1,e4) = e0 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_89,plain,
    op(e1,e4) != e2,
    inference(rw,[status(thm)],[c_0_74,c_0_13]) ).

cnf(c_0_90,plain,
    op(e1,e4) != e4,
    inference(rw,[status(thm)],[c_0_75,c_0_11]) ).

cnf(c_0_91,plain,
    op(e1,e2) != op(e1,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_92,plain,
    op(e0,e4) != op(e2,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_93,plain,
    ( op(e2,e4) = e0
    | op(e2,e4) = e1
    | op(e2,e4) = e4 ),
    inference(sr,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_94,plain,
    ( epred2_0
    | op(op(e1,e3),e3) = e1
    | ~ epred3_0
    | $false
    | op(e2,e1) != op(e1,e2) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_95,plain,
    op(e0,e3) != op(e1,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_96,plain,
    ( op(e1,e3) = e3
    | op(e1,e3) = e2
    | op(e1,e3) = e1
    | op(e1,e3) = e0 ),
    inference(sr,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_97,plain,
    op(e1,e3) != e0,
    inference(rw,[status(thm)],[c_0_81,c_0_35]) ).

cnf(c_0_98,negated_conjecture,
    ( op(e0,e0) = e1
    | op(e1,e3) != e1 ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_99,negated_conjecture,
    ( op(e0,e0) = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_23,c_0_41]) ).

cnf(c_0_100,plain,
    e0 != e1,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_101,negated_conjecture,
    ( unit = e1
    | op(e0,e1) != op(e1,e0)
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).

cnf(c_0_102,negated_conjecture,
    ( op(e1,e0) = e1
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_41]) ).

cnf(c_0_103,plain,
    op(e1,e1) != op(e2,e1),
    inference(split_conjunct,[status(thm)],[ax4]) ).

fof(c_0_104,plain,
    ( ( op(e1,e2) != op(e2,e1)
      | op(e0,e2) != op(e2,e0)
      | op(e4,e1) != op(e1,e4)
      | epred3_0
      | ~ epred4_0 )
    & ( op(op(e2,e1),e1) = e2
      | op(e0,e2) != op(e2,e0)
      | op(e4,e1) != op(e1,e4)
      | epred3_0
      | ~ epred4_0 )
    & ( op(op(e2,e1),e2) != e1
      | op(e0,e2) != op(e2,e0)
      | op(e4,e1) != op(e1,e4)
      | epred3_0
      | ~ epred4_0 )
    & ( op(e1,e2) != op(e2,e1)
      | op(op(e2,e0),e0) = e2
      | op(e4,e1) != op(e1,e4)
      | epred3_0
      | ~ epred4_0 )
    & ( op(op(e2,e1),e1) = e2
      | op(op(e2,e0),e0) = e2
      | op(e4,e1) != op(e1,e4)
      | epred3_0
      | ~ epred4_0 )
    & ( op(op(e2,e1),e2) != e1
      | op(op(e2,e0),e0) = e2
      | op(e4,e1) != op(e1,e4)
      | epred3_0
      | ~ epred4_0 )
    & ( op(e1,e2) != op(e2,e1)
      | op(op(e2,e0),e2) != e0
      | op(e4,e1) != op(e1,e4)
      | epred3_0
      | ~ epred4_0 )
    & ( op(op(e2,e1),e1) = e2
      | op(op(e2,e0),e2) != e0
      | op(e4,e1) != op(e1,e4)
      | epred3_0
      | ~ epred4_0 )
    & ( op(op(e2,e1),e2) != e1
      | op(op(e2,e0),e2) != e0
      | op(e4,e1) != op(e1,e4)
      | epred3_0
      | ~ epred4_0 )
    & ( op(e1,e2) != op(e2,e1)
      | op(e0,e2) != op(e2,e0)
      | op(op(e1,e4),e4) = e1
      | epred3_0
      | ~ epred4_0 )
    & ( op(op(e2,e1),e1) = e2
      | op(e0,e2) != op(e2,e0)
      | op(op(e1,e4),e4) = e1
      | epred3_0
      | ~ epred4_0 )
    & ( op(op(e2,e1),e2) != e1
      | op(e0,e2) != op(e2,e0)
      | op(op(e1,e4),e4) = e1
      | epred3_0
      | ~ epred4_0 )
    & ( op(e1,e2) != op(e2,e1)
      | op(op(e2,e0),e0) = e2
      | op(op(e1,e4),e4) = e1
      | epred3_0
      | ~ epred4_0 )
    & ( op(op(e2,e1),e1) = e2
      | op(op(e2,e0),e0) = e2
      | op(op(e1,e4),e4) = e1
      | epred3_0
      | ~ epred4_0 )
    & ( op(op(e2,e1),e2) != e1
      | op(op(e2,e0),e0) = e2
      | op(op(e1,e4),e4) = e1
      | epred3_0
      | ~ epred4_0 )
    & ( op(e1,e2) != op(e2,e1)
      | op(op(e2,e0),e2) != e0
      | op(op(e1,e4),e4) = e1
      | epred3_0
      | ~ epred4_0 )
    & ( op(op(e2,e1),e1) = e2
      | op(op(e2,e0),e2) != e0
      | op(op(e1,e4),e4) = e1
      | epred3_0
      | ~ epred4_0 )
    & ( op(op(e2,e1),e2) != e1
      | op(op(e2,e0),e2) != e0
      | op(op(e1,e4),e4) = e1
      | epred3_0
      | ~ epred4_0 )
    & ( op(e1,e2) != op(e2,e1)
      | op(e0,e2) != op(e2,e0)
      | op(op(e1,e4),e1) != e4
      | epred3_0
      | ~ epred4_0 )
    & ( op(op(e2,e1),e1) = e2
      | op(e0,e2) != op(e2,e0)
      | op(op(e1,e4),e1) != e4
      | epred3_0
      | ~ epred4_0 )
    & ( op(op(e2,e1),e2) != e1
      | op(e0,e2) != op(e2,e0)
      | op(op(e1,e4),e1) != e4
      | epred3_0
      | ~ epred4_0 )
    & ( op(e1,e2) != op(e2,e1)
      | op(op(e2,e0),e0) = e2
      | op(op(e1,e4),e1) != e4
      | epred3_0
      | ~ epred4_0 )
    & ( op(op(e2,e1),e1) = e2
      | op(op(e2,e0),e0) = e2
      | op(op(e1,e4),e1) != e4
      | epred3_0
      | ~ epred4_0 )
    & ( op(op(e2,e1),e2) != e1
      | op(op(e2,e0),e0) = e2
      | op(op(e1,e4),e1) != e4
      | epred3_0
      | ~ epred4_0 )
    & ( op(e1,e2) != op(e2,e1)
      | op(op(e2,e0),e2) != e0
      | op(op(e1,e4),e1) != e4
      | epred3_0
      | ~ epred4_0 )
    & ( op(op(e2,e1),e1) = e2
      | op(op(e2,e0),e2) != e0
      | op(op(e1,e4),e1) != e4
      | epred3_0
      | ~ epred4_0 )
    & ( op(op(e2,e1),e2) != e1
      | op(op(e2,e0),e2) != e0
      | op(op(e1,e4),e1) != e4
      | epred3_0
      | ~ epred4_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])]) ).

cnf(c_0_105,plain,
    ( op(e1,e4) = e3
    | op(e1,e4) = e1
    | op(e1,e4) = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_88,c_0_89]),c_0_90]) ).

cnf(c_0_106,plain,
    op(e1,e4) != e0,
    inference(rw,[status(thm)],[c_0_91,c_0_35]) ).

cnf(c_0_107,plain,
    op(e2,e1) != op(e2,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_108,plain,
    ( op(e2,e4) = e1
    | op(e2,e4) = e0
    | op(e0,e4) != e4 ),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_109,plain,
    ( op(op(e1,e3),e3) = e1
    | epred2_0
    | op(e2,e1) != op(e1,e2)
    | ~ epred3_0 ),
    inference(cn,[status(thm)],[c_0_94]) ).

cnf(c_0_110,negated_conjecture,
    ( unit = e1
    | op(e1,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_95,c_0_86]) ).

cnf(c_0_111,plain,
    ( op(e1,e3) = e1
    | op(e1,e3) = e2
    | op(e1,e3) = e3 ),
    inference(sr,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_112,negated_conjecture,
    ( unit = e1
    | op(e1,e3) != e1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]) ).

cnf(c_0_113,negated_conjecture,
    ( unit = e1
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_43]),c_0_102]) ).

cnf(c_0_114,plain,
    ( op(e2,e1) = e4
    | op(e2,e1) = e3
    | op(e2,e1) = e2
    | op(e2,e1) = e1
    | op(e2,e1) = e0 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_115,plain,
    op(e2,e1) != e4,
    inference(rw,[status(thm)],[c_0_103,c_0_11]) ).

cnf(c_0_116,plain,
    op(e2,e1) != op(e2,e2),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_117,plain,
    ( op(e4,e4) = e0
    | op(e4,e3) = e0
    | op(e4,e2) = e0
    | op(e4,e1) = e0
    | op(e4,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_118,plain,
    op(e1,e2) != op(e4,e2),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_119,plain,
    ( epred3_0
    | ~ epred4_0
    | op(op(e1,e4),e1) != e4
    | op(e0,e2) != op(e2,e0)
    | op(e1,e2) != op(e2,e1) ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_120,plain,
    op(e1,e0) != op(e1,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_121,plain,
    ( op(e1,e4) = e1
    | op(e1,e4) = e3 ),
    inference(sr,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_122,plain,
    op(e1,e3) != op(e1,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_123,plain,
    op(e2,e3) != op(e2,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_124,plain,
    ( op(e2,e4) = e1
    | op(e2,e1) != e0
    | op(e0,e4) != e4 ),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_125,plain,
    ( op(op(e1,e3),e3) = e1
    | epred2_0
    | op(e2,e1) != e0
    | ~ epred3_0 ),
    inference(rw,[status(thm)],[c_0_109,c_0_35]) ).

cnf(c_0_126,negated_conjecture,
    ( op(e1,e3) = e2
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]) ).

cnf(c_0_127,negated_conjecture,
    ~ epred2_0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_113]),c_0_11]),c_0_55]) ).

cnf(c_0_128,plain,
    op(e2,e0) != op(e2,e1),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_129,plain,
    ( op(e2,e1) = e3
    | op(e2,e1) = e2
    | op(e2,e1) = e1
    | op(e2,e1) = e0 ),
    inference(sr,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_130,plain,
    op(e2,e1) != e3,
    inference(rw,[status(thm)],[c_0_116,c_0_21]) ).

cnf(c_0_131,plain,
    ( op(e4,e3) = e0
    | op(e4,e2) = e0
    | op(e4,e1) = e0
    | op(e4,e0) = e0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_13]),c_0_15]) ).

cnf(c_0_132,plain,
    op(e4,e2) != e0,
    inference(rw,[status(thm)],[c_0_118,c_0_35]) ).

cnf(c_0_133,plain,
    ( epred3_0
    | op(op(e1,e4),e4) = e1
    | ~ epred4_0
    | op(e0,e2) != op(e2,e0)
    | op(e1,e2) != op(e2,e1) ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_134,plain,
    ( op(e1,e4) = e3
    | op(e1,e3) = e3
    | op(e1,e2) = e3
    | op(e1,e1) = e3
    | op(e1,e0) = e3 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_135,plain,
    e3 != e4,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_136,plain,
    ( epred3_0
    | op(e2,e0) != op(e0,e2)
    | op(op(e1,e4),e1) != e4
    | op(e2,e1) != e0
    | ~ epred4_0 ),
    inference(rw,[status(thm)],[c_0_119,c_0_35]) ).

cnf(c_0_137,plain,
    ( op(e1,e4) = e1
    | op(e1,e0) != e3 ),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_138,plain,
    ( op(e1,e4) = e1
    | op(e1,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_122,c_0_121]) ).

cnf(c_0_139,plain,
    ( op(e2,e3) != e1
    | op(e2,e1) != e0
    | op(e0,e4) != e4 ),
    inference(spm,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_140,plain,
    ( op(e2,e3) = e1
    | unit = e1
    | op(e2,e1) != e0
    | ~ epred3_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127]) ).

cnf(c_0_141,negated_conjecture,
    ( unit = e1
    | op(e2,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_128,c_0_47]) ).

cnf(c_0_142,plain,
    ( op(e2,e1) = e0
    | op(e2,e1) = e1
    | op(e2,e1) = e2 ),
    inference(sr,[status(thm)],[c_0_129,c_0_130]) ).

cnf(c_0_143,plain,
    ( op(e4,e4) = e3
    | op(e4,e3) = e3
    | op(e4,e2) = e3
    | op(e4,e1) = e3
    | op(e4,e0) = e3 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_144,plain,
    e2 != e3,
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_145,plain,
    op(e2,e2) != op(e4,e2),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_146,plain,
    op(e3,e4) != op(e4,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_147,plain,
    op(e1,e2) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_148,plain,
    op(e0,e3) != op(e4,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_149,plain,
    ( op(e4,e0) = e0
    | op(e4,e1) = e0
    | op(e4,e3) = e0 ),
    inference(sr,[status(thm)],[c_0_131,c_0_132]) ).

cnf(c_0_150,plain,
    ( op(op(e1,e4),e4) = e1
    | epred3_0
    | op(e2,e0) != op(e0,e2)
    | op(e2,e1) != e0
    | ~ epred4_0 ),
    inference(rw,[status(thm)],[c_0_133,c_0_35]) ).

cnf(c_0_151,plain,
    ( op(e1,e4) = e3
    | op(e1,e3) = e3
    | op(e1,e0) = e3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_11]),c_0_35]),c_0_135]),c_0_22]) ).

cnf(c_0_152,plain,
    ( epred3_0
    | op(e2,e0) != op(e0,e2)
    | op(e2,e1) != e0
    | op(e1,e0) != e3
    | ~ epred4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_11])]) ).

cnf(c_0_153,plain,
    ( epred3_0
    | op(e2,e0) != op(e0,e2)
    | op(e2,e1) != e0
    | op(e1,e3) != e3
    | ~ epred4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_138]),c_0_11])]) ).

cnf(c_0_154,plain,
    ( unit = e1
    | op(e2,e1) != e0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_69]) ).

cnf(c_0_155,negated_conjecture,
    ( op(e2,e1) = e1
    | op(e2,e1) = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_156,plain,
    ( op(e4,e3) = e3
    | op(e4,e2) = e3
    | op(e4,e1) = e3
    | op(e4,e0) = e3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_13]),c_0_144]) ).

cnf(c_0_157,plain,
    op(e4,e2) != e3,
    inference(rw,[status(thm)],[c_0_145,c_0_21]) ).

cnf(c_0_158,plain,
    ( op(e3,e4) = e4
    | op(e3,e4) = e3
    | op(e3,e4) = e2
    | op(e3,e4) = e1
    | op(e3,e4) = e0 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_159,plain,
    op(e3,e4) != e2,
    inference(rw,[status(thm)],[c_0_146,c_0_13]) ).

cnf(c_0_160,plain,
    ( op(e3,e4) = e0
    | op(e3,e3) = e0
    | op(e3,e2) = e0
    | op(e3,e1) = e0
    | op(e3,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_161,plain,
    op(e3,e2) != e0,
    inference(rw,[status(thm)],[c_0_147,c_0_35]) ).

cnf(c_0_162,plain,
    op(e0,e0) != op(e4,e0),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_163,plain,
    ( op(e4,e1) = e0
    | op(e4,e0) = e0
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_164,plain,
    op(e2,e4) != op(e3,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_165,plain,
    ( op(e3,e4) = e1
    | epred3_0
    | op(e2,e0) != op(e0,e2)
    | op(e2,e1) != e0
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152]),c_0_153]) ).

cnf(c_0_166,plain,
    op(e0,e1) != op(e2,e1),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_167,negated_conjecture,
    ( op(e2,e1) = e1
    | unit = e1
    | ~ epred3_0 ),
    inference(spm,[status(thm)],[c_0_154,c_0_155]) ).

cnf(c_0_168,plain,
    op(e3,e3) != op(e4,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_169,plain,
    ( op(e4,e0) = e3
    | op(e4,e1) = e3
    | op(e4,e3) = e3 ),
    inference(sr,[status(thm)],[c_0_156,c_0_157]) ).

fof(c_0_170,plain,
    ( epred7_0
  <=> ( ( op(e0,e0) != op(e0,e0)
        & op(op(e0,e0),e0) = e0
        & op(op(e0,e0),e0) != e0 )
      | ( op(e1,e0) != op(e0,e1)
        & op(op(e0,e1),e1) = e0
        & op(op(e0,e1),e0) != e1 )
      | ( op(e2,e0) != op(e0,e2)
        & op(op(e0,e2),e2) = e0
        & op(op(e0,e2),e0) != e2 )
      | ( op(e3,e0) != op(e0,e3)
        & op(op(e0,e3),e3) = e0
        & op(op(e0,e3),e0) != e3 )
      | ( op(e4,e0) != op(e0,e4)
        & op(op(e0,e4),e4) = e0
        & op(op(e0,e4),e0) != e4 )
      | ( op(e0,e1) != op(e1,e0)
        & op(op(e1,e0),e0) = e1
        & op(op(e1,e0),e1) != e0 )
      | ( op(e1,e1) != op(e1,e1)
        & op(op(e1,e1),e1) = e1
        & op(op(e1,e1),e1) != e1 )
      | ( op(e2,e1) != op(e1,e2)
        & op(op(e1,e2),e2) = e1
        & op(op(e1,e2),e1) != e2 )
      | ( op(e3,e1) != op(e1,e3)
        & op(op(e1,e3),e3) = e1
        & op(op(e1,e3),e1) != e3 )
      | ( op(e4,e1) != op(e1,e4)
        & op(op(e1,e4),e4) = e1
        & op(op(e1,e4),e1) != e4 )
      | ( op(e0,e2) != op(e2,e0)
        & op(op(e2,e0),e0) = e2
        & op(op(e2,e0),e2) != e0 )
      | ( op(e1,e2) != op(e2,e1)
        & op(op(e2,e1),e1) = e2
        & op(op(e2,e1),e2) != e1 )
      | ( op(e2,e2) != op(e2,e2)
        & op(op(e2,e2),e2) = e2
        & op(op(e2,e2),e2) != e2 )
      | ( op(e3,e2) != op(e2,e3)
        & op(op(e2,e3),e3) = e2
        & op(op(e2,e3),e2) != e3 )
      | ( op(e4,e2) != op(e2,e4)
        & op(op(e2,e4),e4) = e2
        & op(op(e2,e4),e2) != e4 )
      | ( op(e0,e3) != op(e3,e0)
        & op(op(e3,e0),e0) = e3
        & op(op(e3,e0),e3) != e0 )
      | ( op(e1,e3) != op(e3,e1)
        & op(op(e3,e1),e1) = e3
        & op(op(e3,e1),e3) != e1 )
      | ( op(e2,e3) != op(e3,e2)
        & op(op(e3,e2),e2) = e3
        & op(op(e3,e2),e3) != e2 )
      | ( op(e3,e3) != op(e3,e3)
        & op(op(e3,e3),e3) = e3
        & op(op(e3,e3),e3) != e3 )
      | ( op(e4,e3) != op(e3,e4)
        & op(op(e3,e4),e4) = e3
        & op(op(e3,e4),e3) != e4 )
      | ( op(e0,e4) != op(e4,e0)
        & op(op(e4,e0),e0) = e4
        & op(op(e4,e0),e4) != e0 ) ) ),
    introduced(definition) ).

fof(c_0_171,plain,
    ( epred6_0
  <=> ( ( op(e0,e0) != op(e0,e0)
        & op(op(e0,e0),e0) = e0
        & op(op(e0,e0),e0) != e0 )
      | ( op(e1,e0) != op(e0,e1)
        & op(op(e0,e1),e1) = e0
        & op(op(e0,e1),e0) != e1 )
      | ( op(e2,e0) != op(e0,e2)
        & op(op(e0,e2),e2) = e0
        & op(op(e0,e2),e0) != e2 )
      | ( op(e3,e0) != op(e0,e3)
        & op(op(e0,e3),e3) = e0
        & op(op(e0,e3),e0) != e3 )
      | ( op(e4,e0) != op(e0,e4)
        & op(op(e0,e4),e4) = e0
        & op(op(e0,e4),e0) != e4 )
      | ( op(e0,e1) != op(e1,e0)
        & op(op(e1,e0),e0) = e1
        & op(op(e1,e0),e1) != e0 )
      | ( op(e1,e1) != op(e1,e1)
        & op(op(e1,e1),e1) = e1
        & op(op(e1,e1),e1) != e1 )
      | ( op(e2,e1) != op(e1,e2)
        & op(op(e1,e2),e2) = e1
        & op(op(e1,e2),e1) != e2 )
      | ( op(e3,e1) != op(e1,e3)
        & op(op(e1,e3),e3) = e1
        & op(op(e1,e3),e1) != e3 )
      | ( op(e4,e1) != op(e1,e4)
        & op(op(e1,e4),e4) = e1
        & op(op(e1,e4),e1) != e4 )
      | ( op(e0,e2) != op(e2,e0)
        & op(op(e2,e0),e0) = e2
        & op(op(e2,e0),e2) != e0 )
      | ( op(e1,e2) != op(e2,e1)
        & op(op(e2,e1),e1) = e2
        & op(op(e2,e1),e2) != e1 )
      | ( op(e2,e2) != op(e2,e2)
        & op(op(e2,e2),e2) = e2
        & op(op(e2,e2),e2) != e2 )
      | ( op(e3,e2) != op(e2,e3)
        & op(op(e2,e3),e3) = e2
        & op(op(e2,e3),e2) != e3 )
      | ( op(e4,e2) != op(e2,e4)
        & op(op(e2,e4),e4) = e2
        & op(op(e2,e4),e2) != e4 )
      | ( op(e0,e3) != op(e3,e0)
        & op(op(e3,e0),e0) = e3
        & op(op(e3,e0),e3) != e0 )
      | ( op(e1,e3) != op(e3,e1)
        & op(op(e3,e1),e1) = e3
        & op(op(e3,e1),e3) != e1 )
      | ( op(e2,e3) != op(e3,e2)
        & op(op(e3,e2),e2) = e3
        & op(op(e3,e2),e3) != e2 ) ) ),
    introduced(definition) ).

cnf(c_0_172,plain,
    op(e0,e4) != op(e3,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_173,plain,
    ( op(e3,e4) = e4
    | op(e3,e4) = e3
    | op(e3,e4) = e1
    | op(e3,e4) = e0 ),
    inference(sr,[status(thm)],[c_0_158,c_0_159]) ).

cnf(c_0_174,plain,
    ( op(e3,e0) = e0
    | op(e3,e1) = e0
    | op(e3,e3) = e0
    | op(e3,e4) = e0 ),
    inference(sr,[status(thm)],[c_0_160,c_0_161]) ).

cnf(c_0_175,plain,
    op(e3,e1) != op(e4,e1),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_176,plain,
    ( op(e4,e1) = e0
    | op(e0,e3) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_32]) ).

cnf(c_0_177,plain,
    ( epred3_0
    | op(e2,e0) != op(e0,e2)
    | op(e2,e4) != e1
    | op(e2,e1) != e0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_178,negated_conjecture,
    ( unit = e1
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_43]) ).

cnf(c_0_179,plain,
    ( op(e3,e4) = e2
    | op(e3,e3) = e2
    | op(e3,e2) = e2
    | op(e3,e1) = e2
    | op(e3,e0) = e2 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_180,plain,
    ( op(e4,e1) = e0
    | op(e4,e0) = e0
    | op(e3,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_168,c_0_149]) ).

cnf(c_0_181,plain,
    ( op(e4,e1) = e3
    | op(e4,e0) = e3
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_148,c_0_169]) ).

cnf(c_0_182,negated_conjecture,
    ( op(e4,e0) = e4
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_17,c_0_41]) ).

fof(c_0_183,plain,
    ( epred7_0
   => ( epred6_0
      | ( op(e3,e3) != op(e3,e3)
        & op(op(e3,e3),e3) = e3
        & op(op(e3,e3),e3) != e3 )
      | ( op(e4,e3) != op(e3,e4)
        & op(op(e3,e4),e4) = e3
        & op(op(e3,e4),e3) != e4 )
      | ( op(e0,e4) != op(e4,e0)
        & op(op(e4,e0),e0) = e4
        & op(op(e4,e0),e4) != e0 ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_170]),c_0_171]) ).

cnf(c_0_184,plain,
    op(e3,e0) != op(e3,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_185,plain,
    ( op(e3,e4) = e0
    | op(e3,e4) = e1
    | op(e3,e4) = e3
    | op(e0,e4) != e4 ),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_186,plain,
    ( op(e3,e3) = e0
    | op(e3,e1) = e0
    | op(e3,e0) = e0
    | op(e2,e4) != e0 ),
    inference(spm,[status(thm)],[c_0_164,c_0_174]) ).

cnf(c_0_187,plain,
    ( op(e3,e1) != e0
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_175,c_0_176]) ).

cnf(c_0_188,plain,
    ( op(e4,e2) = e4
    | op(e3,e2) = e4
    | op(e2,e2) = e4
    | op(e1,e2) = e4
    | op(e0,e2) = e4 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

fof(c_0_189,plain,
    ( epred5_0
  <=> ( ( op(e0,e0) != op(e0,e0)
        & op(op(e0,e0),e0) = e0
        & op(op(e0,e0),e0) != e0 )
      | ( op(e1,e0) != op(e0,e1)
        & op(op(e0,e1),e1) = e0
        & op(op(e0,e1),e0) != e1 )
      | ( op(e2,e0) != op(e0,e2)
        & op(op(e0,e2),e2) = e0
        & op(op(e0,e2),e0) != e2 )
      | ( op(e3,e0) != op(e0,e3)
        & op(op(e0,e3),e3) = e0
        & op(op(e0,e3),e0) != e3 )
      | ( op(e4,e0) != op(e0,e4)
        & op(op(e0,e4),e4) = e0
        & op(op(e0,e4),e0) != e4 )
      | ( op(e0,e1) != op(e1,e0)
        & op(op(e1,e0),e0) = e1
        & op(op(e1,e0),e1) != e0 )
      | ( op(e1,e1) != op(e1,e1)
        & op(op(e1,e1),e1) = e1
        & op(op(e1,e1),e1) != e1 )
      | ( op(e2,e1) != op(e1,e2)
        & op(op(e1,e2),e2) = e1
        & op(op(e1,e2),e1) != e2 )
      | ( op(e3,e1) != op(e1,e3)
        & op(op(e1,e3),e3) = e1
        & op(op(e1,e3),e1) != e3 )
      | ( op(e4,e1) != op(e1,e4)
        & op(op(e1,e4),e4) = e1
        & op(op(e1,e4),e1) != e4 )
      | ( op(e0,e2) != op(e2,e0)
        & op(op(e2,e0),e0) = e2
        & op(op(e2,e0),e2) != e0 )
      | ( op(e1,e2) != op(e2,e1)
        & op(op(e2,e1),e1) = e2
        & op(op(e2,e1),e2) != e1 )
      | ( op(e2,e2) != op(e2,e2)
        & op(op(e2,e2),e2) = e2
        & op(op(e2,e2),e2) != e2 )
      | ( op(e3,e2) != op(e2,e3)
        & op(op(e2,e3),e3) = e2
        & op(op(e2,e3),e2) != e3 )
      | ( op(e4,e2) != op(e2,e4)
        & op(op(e2,e4),e4) = e2
        & op(op(e2,e4),e2) != e4 ) ) ),
    introduced(definition) ).

cnf(c_0_190,plain,
    op(e4,e2) != op(e4,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_191,plain,
    ( epred3_0
    | op(e2,e0) != op(e0,e2)
    | op(e2,e1) != e0
    | op(e0,e4) != e4
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_177,c_0_124]) ).

cnf(c_0_192,negated_conjecture,
    ~ epred3_0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_178]),c_0_11]),c_0_55]) ).

cnf(c_0_193,plain,
    ( op(e3,e3) = e2
    | op(e3,e2) = e2
    | op(e3,e1) = e2
    | op(e3,e0) = e2 ),
    inference(sr,[status(thm)],[c_0_179,c_0_159]) ).

cnf(c_0_194,plain,
    ( op(e4,e1) = e0
    | op(e0,e0) != e0
    | op(e3,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_162,c_0_180]) ).

cnf(c_0_195,negated_conjecture,
    ( op(e4,e1) = e3
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_135]),c_0_86]) ).

fof(c_0_196,plain,
    ( ( op(e0,e4) != op(e4,e0)
      | op(e4,e3) != op(e3,e4)
      | op(e3,e3) != op(e3,e3)
      | epred6_0
      | ~ epred7_0 )
    & ( op(op(e4,e0),e0) = e4
      | op(e4,e3) != op(e3,e4)
      | op(e3,e3) != op(e3,e3)
      | epred6_0
      | ~ epred7_0 )
    & ( op(op(e4,e0),e4) != e0
      | op(e4,e3) != op(e3,e4)
      | op(e3,e3) != op(e3,e3)
      | epred6_0
      | ~ epred7_0 )
    & ( op(e0,e4) != op(e4,e0)
      | op(op(e3,e4),e4) = e3
      | op(e3,e3) != op(e3,e3)
      | epred6_0
      | ~ epred7_0 )
    & ( op(op(e4,e0),e0) = e4
      | op(op(e3,e4),e4) = e3
      | op(e3,e3) != op(e3,e3)
      | epred6_0
      | ~ epred7_0 )
    & ( op(op(e4,e0),e4) != e0
      | op(op(e3,e4),e4) = e3
      | op(e3,e3) != op(e3,e3)
      | epred6_0
      | ~ epred7_0 )
    & ( op(e0,e4) != op(e4,e0)
      | op(op(e3,e4),e3) != e4
      | op(e3,e3) != op(e3,e3)
      | epred6_0
      | ~ epred7_0 )
    & ( op(op(e4,e0),e0) = e4
      | op(op(e3,e4),e3) != e4
      | op(e3,e3) != op(e3,e3)
      | epred6_0
      | ~ epred7_0 )
    & ( op(op(e4,e0),e4) != e0
      | op(op(e3,e4),e3) != e4
      | op(e3,e3) != op(e3,e3)
      | epred6_0
      | ~ epred7_0 )
    & ( op(e0,e4) != op(e4,e0)
      | op(e4,e3) != op(e3,e4)
      | op(op(e3,e3),e3) = e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(op(e4,e0),e0) = e4
      | op(e4,e3) != op(e3,e4)
      | op(op(e3,e3),e3) = e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(op(e4,e0),e4) != e0
      | op(e4,e3) != op(e3,e4)
      | op(op(e3,e3),e3) = e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(e0,e4) != op(e4,e0)
      | op(op(e3,e4),e4) = e3
      | op(op(e3,e3),e3) = e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(op(e4,e0),e0) = e4
      | op(op(e3,e4),e4) = e3
      | op(op(e3,e3),e3) = e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(op(e4,e0),e4) != e0
      | op(op(e3,e4),e4) = e3
      | op(op(e3,e3),e3) = e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(e0,e4) != op(e4,e0)
      | op(op(e3,e4),e3) != e4
      | op(op(e3,e3),e3) = e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(op(e4,e0),e0) = e4
      | op(op(e3,e4),e3) != e4
      | op(op(e3,e3),e3) = e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(op(e4,e0),e4) != e0
      | op(op(e3,e4),e3) != e4
      | op(op(e3,e3),e3) = e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(e0,e4) != op(e4,e0)
      | op(e4,e3) != op(e3,e4)
      | op(op(e3,e3),e3) != e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(op(e4,e0),e0) = e4
      | op(e4,e3) != op(e3,e4)
      | op(op(e3,e3),e3) != e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(op(e4,e0),e4) != e0
      | op(e4,e3) != op(e3,e4)
      | op(op(e3,e3),e3) != e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(e0,e4) != op(e4,e0)
      | op(op(e3,e4),e4) = e3
      | op(op(e3,e3),e3) != e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(op(e4,e0),e0) = e4
      | op(op(e3,e4),e4) = e3
      | op(op(e3,e3),e3) != e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(op(e4,e0),e4) != e0
      | op(op(e3,e4),e4) = e3
      | op(op(e3,e3),e3) != e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(e0,e4) != op(e4,e0)
      | op(op(e3,e4),e3) != e4
      | op(op(e3,e3),e3) != e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(op(e4,e0),e0) = e4
      | op(op(e3,e4),e3) != e4
      | op(op(e3,e3),e3) != e3
      | epred6_0
      | ~ epred7_0 )
    & ( op(op(e4,e0),e4) != e0
      | op(op(e3,e4),e3) != e4
      | op(op(e3,e3),e3) != e3
      | epred6_0
      | ~ epred7_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_183])]) ).

cnf(c_0_197,plain,
    ( op(e4,e4) = e0
    | op(e3,e4) = e0
    | op(e2,e4) = e0
    | op(e1,e4) = e0
    | op(e0,e4) = e0 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_198,plain,
    ( op(e3,e4) = e1
    | op(e3,e4) = e0
    | op(e3,e0) != e3
    | op(e0,e4) != e4 ),
    inference(spm,[status(thm)],[c_0_184,c_0_185]) ).

fof(c_0_199,plain,
    ( epred8_0
   => ( epred7_0
      | ( op(e1,e4) != op(e4,e1)
        & op(op(e4,e1),e1) = e4
        & op(op(e4,e1),e4) != e1 )
      | ( op(e2,e4) != op(e4,e2)
        & op(op(e4,e2),e2) = e4
        & op(op(e4,e2),e4) != e2 )
      | ( op(e3,e4) != op(e4,e3)
        & op(op(e4,e3),e3) = e4
        & op(op(e4,e3),e4) != e3 ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_7]),c_0_170]) ).

cnf(c_0_200,plain,
    op(e0,e0) != op(e3,e0),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_201,plain,
    ( op(e3,e0) = e0
    | op(e0,e3) != e0
    | op(e2,e4) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_186]),c_0_187]) ).

cnf(c_0_202,plain,
    ( op(e2,e4) = e0
    | op(e2,e3) = e0
    | op(e2,e2) = e0
    | op(e2,e1) = e0
    | op(e2,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_203,plain,
    op(e2,e1) != op(e4,e1),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_204,plain,
    ( op(e4,e1) = e3
    | op(e3,e1) = e3
    | op(e2,e1) = e3
    | op(e1,e1) = e3
    | op(e0,e1) = e3 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_205,plain,
    op(e2,e3) != op(e4,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_206,plain,
    op(e2,e3) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_207,plain,
    ( op(e4,e3) = e4
    | op(e3,e3) = e4
    | op(e2,e3) = e4
    | op(e1,e3) = e4
    | op(e0,e3) = e4 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_208,plain,
    ( op(e4,e2) = e4
    | op(e3,e2) = e4
    | op(e2,e2) = e4
    | op(e0,e2) = e4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_35]),c_0_14]) ).

fof(c_0_209,plain,
    ( epred5_0
   => ( epred4_0
      | ( op(e2,e2) != op(e2,e2)
        & op(op(e2,e2),e2) = e2
        & op(op(e2,e2),e2) != e2 )
      | ( op(e3,e2) != op(e2,e3)
        & op(op(e2,e3),e3) = e2
        & op(op(e2,e3),e2) != e3 )
      | ( op(e4,e2) != op(e2,e4)
        & op(op(e2,e4),e4) = e2
        & op(op(e2,e4),e2) != e4 ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_189]),c_0_73]) ).

cnf(c_0_210,plain,
    ( op(e4,e2) = e4
    | op(e4,e2) = e3
    | op(e4,e2) = e2
    | op(e4,e2) = e1
    | op(e4,e2) = e0 ),
    inference(split_conjunct,[status(thm)],[ax1]) ).

cnf(c_0_211,plain,
    op(e4,e2) != e2,
    inference(rw,[status(thm)],[c_0_190,c_0_13]) ).

cnf(c_0_212,plain,
    ( unit = e1
    | op(e2,e1) != e0
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_47]),c_0_192]),c_0_69]),c_0_51]) ).

cnf(c_0_213,plain,
    op(e0,e2) != op(e3,e2),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_214,plain,
    ( op(e3,e0) = e2
    | op(e3,e1) = e2
    | op(e3,e2) = e2
    | op(e1,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_82,c_0_193]) ).

cnf(c_0_215,negated_conjecture,
    ( unit = e1
    | op(e3,e3) != e0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_22]),c_0_99]) ).

cnf(c_0_216,plain,
    ( epred6_0
    | op(op(e3,e4),e4) = e3
    | ~ epred7_0
    | $false
    | op(e0,e4) != op(e4,e0) ),
    inference(split_conjunct,[status(thm)],[c_0_196]) ).

cnf(c_0_217,plain,
    ( op(e3,e4) = e0
    | op(e2,e4) = e0
    | op(e1,e4) = e0
    | op(e0,e4) = e0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_13]),c_0_15]) ).

cnf(c_0_218,plain,
    ( op(e3,e4) = e1
    | op(e0,e4) != e0
    | op(e3,e0) != e3
    | op(e0,e4) != e4 ),
    inference(spm,[status(thm)],[c_0_172,c_0_198]) ).

cnf(c_0_219,plain,
    ( op(e2,e4) = e1
    | op(e0,e4) != e0
    | op(e0,e4) != e4 ),
    inference(spm,[status(thm)],[c_0_92,c_0_108]) ).

fof(c_0_220,plain,
    ( ( op(e3,e4) != op(e4,e3)
      | op(e2,e4) != op(e4,e2)
      | op(e1,e4) != op(e4,e1)
      | epred7_0
      | ~ epred8_0 )
    & ( op(op(e4,e3),e3) = e4
      | op(e2,e4) != op(e4,e2)
      | op(e1,e4) != op(e4,e1)
      | epred7_0
      | ~ epred8_0 )
    & ( op(op(e4,e3),e4) != e3
      | op(e2,e4) != op(e4,e2)
      | op(e1,e4) != op(e4,e1)
      | epred7_0
      | ~ epred8_0 )
    & ( op(e3,e4) != op(e4,e3)
      | op(op(e4,e2),e2) = e4
      | op(e1,e4) != op(e4,e1)
      | epred7_0
      | ~ epred8_0 )
    & ( op(op(e4,e3),e3) = e4
      | op(op(e4,e2),e2) = e4
      | op(e1,e4) != op(e4,e1)
      | epred7_0
      | ~ epred8_0 )
    & ( op(op(e4,e3),e4) != e3
      | op(op(e4,e2),e2) = e4
      | op(e1,e4) != op(e4,e1)
      | epred7_0
      | ~ epred8_0 )
    & ( op(e3,e4) != op(e4,e3)
      | op(op(e4,e2),e4) != e2
      | op(e1,e4) != op(e4,e1)
      | epred7_0
      | ~ epred8_0 )
    & ( op(op(e4,e3),e3) = e4
      | op(op(e4,e2),e4) != e2
      | op(e1,e4) != op(e4,e1)
      | epred7_0
      | ~ epred8_0 )
    & ( op(op(e4,e3),e4) != e3
      | op(op(e4,e2),e4) != e2
      | op(e1,e4) != op(e4,e1)
      | epred7_0
      | ~ epred8_0 )
    & ( op(e3,e4) != op(e4,e3)
      | op(e2,e4) != op(e4,e2)
      | op(op(e4,e1),e1) = e4
      | epred7_0
      | ~ epred8_0 )
    & ( op(op(e4,e3),e3) = e4
      | op(e2,e4) != op(e4,e2)
      | op(op(e4,e1),e1) = e4
      | epred7_0
      | ~ epred8_0 )
    & ( op(op(e4,e3),e4) != e3
      | op(e2,e4) != op(e4,e2)
      | op(op(e4,e1),e1) = e4
      | epred7_0
      | ~ epred8_0 )
    & ( op(e3,e4) != op(e4,e3)
      | op(op(e4,e2),e2) = e4
      | op(op(e4,e1),e1) = e4
      | epred7_0
      | ~ epred8_0 )
    & ( op(op(e4,e3),e3) = e4
      | op(op(e4,e2),e2) = e4
      | op(op(e4,e1),e1) = e4
      | epred7_0
      | ~ epred8_0 )
    & ( op(op(e4,e3),e4) != e3
      | op(op(e4,e2),e2) = e4
      | op(op(e4,e1),e1) = e4
      | epred7_0
      | ~ epred8_0 )
    & ( op(e3,e4) != op(e4,e3)
      | op(op(e4,e2),e4) != e2
      | op(op(e4,e1),e1) = e4
      | epred7_0
      | ~ epred8_0 )
    & ( op(op(e4,e3),e3) = e4
      | op(op(e4,e2),e4) != e2
      | op(op(e4,e1),e1) = e4
      | epred7_0
      | ~ epred8_0 )
    & ( op(op(e4,e3),e4) != e3
      | op(op(e4,e2),e4) != e2
      | op(op(e4,e1),e1) = e4
      | epred7_0
      | ~ epred8_0 )
    & ( op(e3,e4) != op(e4,e3)
      | op(e2,e4) != op(e4,e2)
      | op(op(e4,e1),e4) != e1
      | epred7_0
      | ~ epred8_0 )
    & ( op(op(e4,e3),e3) = e4
      | op(e2,e4) != op(e4,e2)
      | op(op(e4,e1),e4) != e1
      | epred7_0
      | ~ epred8_0 )
    & ( op(op(e4,e3),e4) != e3
      | op(e2,e4) != op(e4,e2)
      | op(op(e4,e1),e4) != e1
      | epred7_0
      | ~ epred8_0 )
    & ( op(e3,e4) != op(e4,e3)
      | op(op(e4,e2),e2) = e4
      | op(op(e4,e1),e4) != e1
      | epred7_0
      | ~ epred8_0 )
    & ( op(op(e4,e3),e3) = e4
      | op(op(e4,e2),e2) = e4
      | op(op(e4,e1),e4) != e1
      | epred7_0
      | ~ epred8_0 )
    & ( op(op(e4,e3),e4) != e3
      | op(op(e4,e2),e2) = e4
      | op(op(e4,e1),e4) != e1
      | epred7_0
      | ~ epred8_0 )
    & ( op(e3,e4) != op(e4,e3)
      | op(op(e4,e2),e4) != e2
      | op(op(e4,e1),e4) != e1
      | epred7_0
      | ~ epred8_0 )
    & ( op(op(e4,e3),e3) = e4
      | op(op(e4,e2),e4) != e2
      | op(op(e4,e1),e4) != e1
      | epred7_0
      | ~ epred8_0 )
    & ( op(op(e4,e3),e4) != e3
      | op(op(e4,e2),e4) != e2
      | op(op(e4,e1),e4) != e1
      | epred7_0
      | ~ epred8_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_199])]) ).

cnf(c_0_221,negated_conjecture,
    ( epred8_0
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_222,plain,
    ( op(e0,e3) != e0
    | op(e2,e4) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_32]) ).

cnf(c_0_223,plain,
    ( op(e2,e0) = e0
    | op(e2,e1) = e0
    | op(e2,e3) = e0
    | op(e2,e4) = e0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_21]),c_0_22]) ).

cnf(c_0_224,plain,
    ( op(e2,e1) != e0
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_203,c_0_176]) ).

cnf(c_0_225,plain,
    ( op(e4,e1) = e3
    | op(e3,e1) = e3
    | op(e2,e1) = e3
    | op(e0,e1) = e3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_11]),c_0_135]) ).

cnf(c_0_226,plain,
    ( op(e4,e1) = e0
    | op(e4,e0) = e0
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_205,c_0_149]) ).

cnf(c_0_227,negated_conjecture,
    ( op(e0,e0) = e0
    | op(e2,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_206,c_0_27]) ).

cnf(c_0_228,plain,
    op(e4,e0) != op(e4,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_229,plain,
    ( op(e4,e3) = e4
    | op(e3,e3) = e4
    | op(e2,e3) = e4
    | op(e0,e3) = e4 ),
    inference(sr,[status(thm)],[c_0_207,c_0_80]) ).

cnf(c_0_230,plain,
    op(e0,e3) != op(e0,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_231,plain,
    op(e4,e0) != op(e4,e2),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_232,plain,
    ( op(e0,e2) = e4
    | op(e3,e2) = e4
    | op(e4,e2) = e4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_21]),c_0_135]) ).

cnf(c_0_233,plain,
    op(e0,e2) != op(e0,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

fof(c_0_234,plain,
    ( ( op(e4,e2) != op(e2,e4)
      | op(e3,e2) != op(e2,e3)
      | op(e2,e2) != op(e2,e2)
      | epred4_0
      | ~ epred5_0 )
    & ( op(op(e2,e4),e4) = e2
      | op(e3,e2) != op(e2,e3)
      | op(e2,e2) != op(e2,e2)
      | epred4_0
      | ~ epred5_0 )
    & ( op(op(e2,e4),e2) != e4
      | op(e3,e2) != op(e2,e3)
      | op(e2,e2) != op(e2,e2)
      | epred4_0
      | ~ epred5_0 )
    & ( op(e4,e2) != op(e2,e4)
      | op(op(e2,e3),e3) = e2
      | op(e2,e2) != op(e2,e2)
      | epred4_0
      | ~ epred5_0 )
    & ( op(op(e2,e4),e4) = e2
      | op(op(e2,e3),e3) = e2
      | op(e2,e2) != op(e2,e2)
      | epred4_0
      | ~ epred5_0 )
    & ( op(op(e2,e4),e2) != e4
      | op(op(e2,e3),e3) = e2
      | op(e2,e2) != op(e2,e2)
      | epred4_0
      | ~ epred5_0 )
    & ( op(e4,e2) != op(e2,e4)
      | op(op(e2,e3),e2) != e3
      | op(e2,e2) != op(e2,e2)
      | epred4_0
      | ~ epred5_0 )
    & ( op(op(e2,e4),e4) = e2
      | op(op(e2,e3),e2) != e3
      | op(e2,e2) != op(e2,e2)
      | epred4_0
      | ~ epred5_0 )
    & ( op(op(e2,e4),e2) != e4
      | op(op(e2,e3),e2) != e3
      | op(e2,e2) != op(e2,e2)
      | epred4_0
      | ~ epred5_0 )
    & ( op(e4,e2) != op(e2,e4)
      | op(e3,e2) != op(e2,e3)
      | op(op(e2,e2),e2) = e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(op(e2,e4),e4) = e2
      | op(e3,e2) != op(e2,e3)
      | op(op(e2,e2),e2) = e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(op(e2,e4),e2) != e4
      | op(e3,e2) != op(e2,e3)
      | op(op(e2,e2),e2) = e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(e4,e2) != op(e2,e4)
      | op(op(e2,e3),e3) = e2
      | op(op(e2,e2),e2) = e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(op(e2,e4),e4) = e2
      | op(op(e2,e3),e3) = e2
      | op(op(e2,e2),e2) = e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(op(e2,e4),e2) != e4
      | op(op(e2,e3),e3) = e2
      | op(op(e2,e2),e2) = e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(e4,e2) != op(e2,e4)
      | op(op(e2,e3),e2) != e3
      | op(op(e2,e2),e2) = e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(op(e2,e4),e4) = e2
      | op(op(e2,e3),e2) != e3
      | op(op(e2,e2),e2) = e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(op(e2,e4),e2) != e4
      | op(op(e2,e3),e2) != e3
      | op(op(e2,e2),e2) = e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(e4,e2) != op(e2,e4)
      | op(e3,e2) != op(e2,e3)
      | op(op(e2,e2),e2) != e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(op(e2,e4),e4) = e2
      | op(e3,e2) != op(e2,e3)
      | op(op(e2,e2),e2) != e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(op(e2,e4),e2) != e4
      | op(e3,e2) != op(e2,e3)
      | op(op(e2,e2),e2) != e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(e4,e2) != op(e2,e4)
      | op(op(e2,e3),e3) = e2
      | op(op(e2,e2),e2) != e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(op(e2,e4),e4) = e2
      | op(op(e2,e3),e3) = e2
      | op(op(e2,e2),e2) != e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(op(e2,e4),e2) != e4
      | op(op(e2,e3),e3) = e2
      | op(op(e2,e2),e2) != e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(e4,e2) != op(e2,e4)
      | op(op(e2,e3),e2) != e3
      | op(op(e2,e2),e2) != e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(op(e2,e4),e4) = e2
      | op(op(e2,e3),e2) != e3
      | op(op(e2,e2),e2) != e2
      | epred4_0
      | ~ epred5_0 )
    & ( op(op(e2,e4),e2) != e4
      | op(op(e2,e3),e2) != e3
      | op(op(e2,e2),e2) != e2
      | epred4_0
      | ~ epred5_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_209])]) ).

cnf(c_0_235,plain,
    ( op(e4,e2) = e4
    | op(e4,e2) = e3
    | op(e4,e2) = e1
    | op(e4,e2) = e0 ),
    inference(sr,[status(thm)],[c_0_210,c_0_211]) ).

cnf(c_0_236,negated_conjecture,
    ( op(e2,e1) = e1
    | unit = e1
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_212,c_0_155]) ).

fof(c_0_237,plain,
    ( epred6_0
   => ( epred5_0
      | ( op(e0,e3) != op(e3,e0)
        & op(op(e3,e0),e0) = e3
        & op(op(e3,e0),e3) != e0 )
      | ( op(e1,e3) != op(e3,e1)
        & op(op(e3,e1),e1) = e3
        & op(op(e3,e1),e3) != e1 )
      | ( op(e2,e3) != op(e3,e2)
        & op(op(e3,e2),e2) = e3
        & op(op(e3,e2),e3) != e2 ) ) ),
    inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_171]),c_0_189]) ).

cnf(c_0_238,plain,
    ( op(e3,e1) = e2
    | op(e3,e0) = e2
    | op(e0,e2) != e2
    | op(e1,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_213,c_0_214]) ).

cnf(c_0_239,negated_conjecture,
    ( op(e3,e0) = e0
    | op(e3,e1) = e0
    | unit = e1
    | op(e2,e4) != e0 ),
    inference(spm,[status(thm)],[c_0_215,c_0_186]) ).

cnf(c_0_240,plain,
    ( op(op(e3,e4),e4) = e3
    | epred6_0
    | op(e4,e0) != op(e0,e4)
    | ~ epred7_0 ),
    inference(cn,[status(thm)],[c_0_216]) ).

cnf(c_0_241,plain,
    ( op(e0,e4) = e0
    | op(e2,e4) = e0
    | op(e3,e4) = e0 ),
    inference(sr,[status(thm)],[c_0_217,c_0_106]) ).

cnf(c_0_242,plain,
    ( op(e0,e4) != e0
    | op(e3,e0) != e3
    | op(e0,e4) != e4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_218]),c_0_219]) ).

cnf(c_0_243,plain,
    ( epred7_0
    | op(op(e4,e1),e1) = e4
    | op(op(e4,e3),e3) = e4
    | ~ epred8_0
    | op(e2,e4) != op(e4,e2) ),
    inference(split_conjunct,[status(thm)],[c_0_220]) ).

cnf(c_0_244,negated_conjecture,
    epred8_0,
    inference(cn,[status(thm)],[c_0_221]) ).

cnf(c_0_245,plain,
    ( op(e4,e3) = e0
    | op(e3,e3) = e0
    | op(e2,e3) = e0
    | op(e1,e3) = e0
    | op(e0,e3) = e0 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_246,plain,
    op(e0,e3) != op(e2,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_247,plain,
    ( op(e2,e3) = e0
    | op(e2,e0) = e0
    | op(e0,e3) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_224]) ).

cnf(c_0_248,plain,
    op(e3,e0) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_249,plain,
    ( op(e0,e1) = e3
    | op(e3,e1) = e3
    | op(e4,e1) = e3 ),
    inference(sr,[status(thm)],[c_0_225,c_0_130]) ).

cnf(c_0_250,plain,
    ( op(e4,e1) = e0
    | op(e2,e3) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_226]),c_0_227]) ).

cnf(c_0_251,plain,
    op(e0,e1) != op(e0,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_252,plain,
    ( op(e0,e3) = e4
    | op(e2,e3) = e4
    | op(e3,e3) = e4
    | op(e4,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_228,c_0_229]) ).

cnf(c_0_253,negated_conjecture,
    ( unit = e1
    | op(e0,e3) != e4 ),
    inference(spm,[status(thm)],[c_0_230,c_0_69]) ).

cnf(c_0_254,plain,
    ( op(e3,e2) = e4
    | op(e0,e2) = e4
    | op(e4,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_231,c_0_232]) ).

cnf(c_0_255,negated_conjecture,
    ( unit = e1
    | op(e0,e2) != e4 ),
    inference(spm,[status(thm)],[c_0_233,c_0_69]) ).

cnf(c_0_256,plain,
    ( epred4_0
    | ~ epred5_0
    | $false
    | op(e3,e2) != op(e2,e3)
    | op(e4,e2) != op(e2,e4) ),
    inference(split_conjunct,[status(thm)],[c_0_234]) ).

cnf(c_0_257,plain,
    op(e3,e2) != op(e4,e2),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_258,plain,
    ( op(e4,e2) = e1
    | op(e4,e2) = e4 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_235,c_0_132]),c_0_157]) ).

cnf(c_0_259,plain,
    ( epred4_0
    | op(op(e2,e4),e4) = e2
    | ~ epred5_0
    | $false
    | op(e3,e2) != op(e2,e3) ),
    inference(split_conjunct,[status(thm)],[c_0_234]) ).

cnf(c_0_260,plain,
    op(e0,e4) != op(e4,e4),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_261,negated_conjecture,
    ( unit = e1
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_236]),c_0_43]) ).

fof(c_0_262,plain,
    ( ( op(e2,e3) != op(e3,e2)
      | op(e1,e3) != op(e3,e1)
      | op(e0,e3) != op(e3,e0)
      | epred5_0
      | ~ epred6_0 )
    & ( op(op(e3,e2),e2) = e3
      | op(e1,e3) != op(e3,e1)
      | op(e0,e3) != op(e3,e0)
      | epred5_0
      | ~ epred6_0 )
    & ( op(op(e3,e2),e3) != e2
      | op(e1,e3) != op(e3,e1)
      | op(e0,e3) != op(e3,e0)
      | epred5_0
      | ~ epred6_0 )
    & ( op(e2,e3) != op(e3,e2)
      | op(op(e3,e1),e1) = e3
      | op(e0,e3) != op(e3,e0)
      | epred5_0
      | ~ epred6_0 )
    & ( op(op(e3,e2),e2) = e3
      | op(op(e3,e1),e1) = e3
      | op(e0,e3) != op(e3,e0)
      | epred5_0
      | ~ epred6_0 )
    & ( op(op(e3,e2),e3) != e2
      | op(op(e3,e1),e1) = e3
      | op(e0,e3) != op(e3,e0)
      | epred5_0
      | ~ epred6_0 )
    & ( op(e2,e3) != op(e3,e2)
      | op(op(e3,e1),e3) != e1
      | op(e0,e3) != op(e3,e0)
      | epred5_0
      | ~ epred6_0 )
    & ( op(op(e3,e2),e2) = e3
      | op(op(e3,e1),e3) != e1
      | op(e0,e3) != op(e3,e0)
      | epred5_0
      | ~ epred6_0 )
    & ( op(op(e3,e2),e3) != e2
      | op(op(e3,e1),e3) != e1
      | op(e0,e3) != op(e3,e0)
      | epred5_0
      | ~ epred6_0 )
    & ( op(e2,e3) != op(e3,e2)
      | op(e1,e3) != op(e3,e1)
      | op(op(e3,e0),e0) = e3
      | epred5_0
      | ~ epred6_0 )
    & ( op(op(e3,e2),e2) = e3
      | op(e1,e3) != op(e3,e1)
      | op(op(e3,e0),e0) = e3
      | epred5_0
      | ~ epred6_0 )
    & ( op(op(e3,e2),e3) != e2
      | op(e1,e3) != op(e3,e1)
      | op(op(e3,e0),e0) = e3
      | epred5_0
      | ~ epred6_0 )
    & ( op(e2,e3) != op(e3,e2)
      | op(op(e3,e1),e1) = e3
      | op(op(e3,e0),e0) = e3
      | epred5_0
      | ~ epred6_0 )
    & ( op(op(e3,e2),e2) = e3
      | op(op(e3,e1),e1) = e3
      | op(op(e3,e0),e0) = e3
      | epred5_0
      | ~ epred6_0 )
    & ( op(op(e3,e2),e3) != e2
      | op(op(e3,e1),e1) = e3
      | op(op(e3,e0),e0) = e3
      | epred5_0
      | ~ epred6_0 )
    & ( op(e2,e3) != op(e3,e2)
      | op(op(e3,e1),e3) != e1
      | op(op(e3,e0),e0) = e3
      | epred5_0
      | ~ epred6_0 )
    & ( op(op(e3,e2),e2) = e3
      | op(op(e3,e1),e3) != e1
      | op(op(e3,e0),e0) = e3
      | epred5_0
      | ~ epred6_0 )
    & ( op(op(e3,e2),e3) != e2
      | op(op(e3,e1),e3) != e1
      | op(op(e3,e0),e0) = e3
      | epred5_0
      | ~ epred6_0 )
    & ( op(e2,e3) != op(e3,e2)
      | op(e1,e3) != op(e3,e1)
      | op(op(e3,e0),e3) != e0
      | epred5_0
      | ~ epred6_0 )
    & ( op(op(e3,e2),e2) = e3
      | op(e1,e3) != op(e3,e1)
      | op(op(e3,e0),e3) != e0
      | epred5_0
      | ~ epred6_0 )
    & ( op(op(e3,e2),e3) != e2
      | op(e1,e3) != op(e3,e1)
      | op(op(e3,e0),e3) != e0
      | epred5_0
      | ~ epred6_0 )
    & ( op(e2,e3) != op(e3,e2)
      | op(op(e3,e1),e1) = e3
      | op(op(e3,e0),e3) != e0
      | epred5_0
      | ~ epred6_0 )
    & ( op(op(e3,e2),e2) = e3
      | op(op(e3,e1),e1) = e3
      | op(op(e3,e0),e3) != e0
      | epred5_0
      | ~ epred6_0 )
    & ( op(op(e3,e2),e3) != e2
      | op(op(e3,e1),e1) = e3
      | op(op(e3,e0),e3) != e0
      | epred5_0
      | ~ epred6_0 )
    & ( op(e2,e3) != op(e3,e2)
      | op(op(e3,e1),e3) != e1
      | op(op(e3,e0),e3) != e0
      | epred5_0
      | ~ epred6_0 )
    & ( op(op(e3,e2),e2) = e3
      | op(op(e3,e1),e3) != e1
      | op(op(e3,e0),e3) != e0
      | epred5_0
      | ~ epred6_0 )
    & ( op(op(e3,e2),e3) != e2
      | op(op(e3,e1),e3) != e1
      | op(op(e3,e0),e3) != e0
      | epred5_0
      | ~ epred6_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_237])]) ).

cnf(c_0_263,negated_conjecture,
    ( op(e3,e1) = e2
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_238]),c_0_144]),c_0_126]),c_0_51]) ).

cnf(c_0_264,negated_conjecture,
    ( op(e3,e1) = e0
    | unit = e1
    | op(e2,e4) != e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_239]),c_0_22]) ).

cnf(c_0_265,plain,
    ( op(e2,e4) = e0
    | op(e0,e4) = e0
    | op(e0,e4) = e3
    | epred6_0
    | op(e4,e0) != op(e0,e4)
    | ~ epred7_0 ),
    inference(spm,[status(thm)],[c_0_240,c_0_241]) ).

cnf(c_0_266,negated_conjecture,
    ( unit = e1
    | op(e0,e4) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_85]),c_0_69]) ).

cnf(c_0_267,plain,
    ( op(op(e4,e3),e3) = e4
    | op(op(e4,e1),e1) = e4
    | epred7_0
    | op(e4,e2) != op(e2,e4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_244])]) ).

cnf(c_0_268,plain,
    ( op(e0,e3) = e0
    | op(e2,e3) = e0
    | op(e3,e3) = e0
    | op(e4,e3) = e0 ),
    inference(sr,[status(thm)],[c_0_245,c_0_97]) ).

cnf(c_0_269,plain,
    op(e1,e1) != op(e3,e1),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_270,plain,
    op(e0,e0) != op(e2,e0),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_271,plain,
    ( op(e2,e0) = e0
    | op(e0,e3) != e0 ),
    inference(spm,[status(thm)],[c_0_246,c_0_247]) ).

cnf(c_0_272,negated_conjecture,
    ( unit = e1
    | op(e3,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_248,c_0_85]) ).

cnf(c_0_273,plain,
    ( op(e3,e1) = e3
    | op(e0,e1) = e3
    | op(e2,e3) != e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_22]) ).

cnf(c_0_274,negated_conjecture,
    ( unit = e1
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_251,c_0_86]) ).

cnf(c_0_275,plain,
    op(e3,e2) != op(e3,e3),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_276,negated_conjecture,
    ( op(e3,e3) = e4
    | op(e2,e3) = e4
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_182]),c_0_253]) ).

cnf(c_0_277,negated_conjecture,
    ( op(e3,e2) = e4
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_182]),c_0_255]) ).

cnf(c_0_278,plain,
    ( epred4_0
    | op(e3,e2) != op(e2,e3)
    | op(e4,e2) != op(e2,e4)
    | ~ epred5_0 ),
    inference(cn,[status(thm)],[c_0_256]) ).

cnf(c_0_279,plain,
    ( op(e4,e2) = e1
    | op(e3,e2) != e4 ),
    inference(spm,[status(thm)],[c_0_257,c_0_258]) ).

cnf(c_0_280,plain,
    ( op(op(e2,e4),e4) = e2
    | epred4_0
    | op(e3,e2) != op(e2,e3)
    | ~ epred5_0 ),
    inference(cn,[status(thm)],[c_0_259]) ).

cnf(c_0_281,plain,
    ( op(e2,e4) = e1
    | op(e2,e4) = e0
    | op(e2,e3) != e4 ),
    inference(spm,[status(thm)],[c_0_123,c_0_93]) ).

cnf(c_0_282,plain,
    op(e0,e4) != e2,
    inference(rw,[status(thm)],[c_0_260,c_0_13]) ).

cnf(c_0_283,negated_conjecture,
    ~ epred4_0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_261]),c_0_11]),c_0_55]) ).

cnf(c_0_284,plain,
    ( op(e2,e4) = e4
    | op(e2,e3) = e4
    | op(e2,e2) = e4
    | op(e2,e1) = e4
    | op(e2,e0) = e4 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_285,plain,
    ( epred5_0
    | op(op(e3,e2),e2) = e3
    | ~ epred6_0
    | op(e0,e3) != op(e3,e0)
    | op(e1,e3) != op(e3,e1) ),
    inference(split_conjunct,[status(thm)],[c_0_262]) ).

cnf(c_0_286,negated_conjecture,
    ( unit = e1
    | op(e2,e4) != e0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_15]) ).

cnf(c_0_287,negated_conjecture,
    ( op(e0,e4) = e3
    | op(e2,e4) = e0
    | unit = e1
    | epred6_0
    | ~ epred7_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_182]),c_0_69]),c_0_266]) ).

cnf(c_0_288,plain,
    ( op(op(e4,e1),e1) = e4
    | op(e3,e3) = e0
    | op(e2,e3) = e0
    | op(e0,e3) = e0
    | op(e0,e3) = e4
    | epred7_0
    | op(e4,e2) != op(e2,e4) ),
    inference(spm,[status(thm)],[c_0_267,c_0_268]) ).

cnf(c_0_289,plain,
    op(e3,e1) != e4,
    inference(rw,[status(thm)],[c_0_269,c_0_11]) ).

cnf(c_0_290,plain,
    op(e0,e3) != e0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_32]) ).

cnf(c_0_291,negated_conjecture,
    ( unit = e1
    | op(e2,e3) != e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_274]) ).

cnf(c_0_292,negated_conjecture,
    ( op(e2,e3) = e4
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_277]) ).

cnf(c_0_293,plain,
    ( epred4_0
    | op(e3,e2) != op(e2,e3)
    | op(e2,e4) != e1
    | op(e3,e2) != e4
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_278,c_0_279]) ).

cnf(c_0_294,plain,
    ( op(e2,e4) = e1
    | op(e3,e2) != op(e2,e3)
    | op(e2,e3) != e4
    | ~ epred5_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_282]),c_0_283]) ).

cnf(c_0_295,plain,
    ( op(e2,e4) = e4
    | op(e2,e3) = e4
    | op(e2,e2) = e4
    | op(e2,e0) = e4 ),
    inference(sr,[status(thm)],[c_0_284,c_0_115]) ).

cnf(c_0_296,plain,
    ( unit = e1
    | epred5_0
    | op(e3,e0) != op(e0,e3)
    | op(e3,e1) != op(e1,e3)
    | ~ epred6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_277]),c_0_157]) ).

cnf(c_0_297,negated_conjecture,
    ( op(e0,e4) = e3
    | unit = e1
    | epred6_0
    | ~ epred7_0 ),
    inference(spm,[status(thm)],[c_0_286,c_0_287]) ).

cnf(c_0_298,negated_conjecture,
    ( unit = e1
    | epred7_0
    | op(e4,e2) != op(e2,e4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_195]),c_0_289]),c_0_290]),c_0_253]),c_0_291]),c_0_215]) ).

cnf(c_0_299,plain,
    ( op(e4,e2) = e1
    | op(e4,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_231,c_0_258]) ).

cnf(c_0_300,negated_conjecture,
    ( op(e2,e4) = e1
    | unit = e1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_281]),c_0_292]) ).

cnf(c_0_301,plain,
    ( unit = e1
    | epred4_0
    | op(e2,e3) != e4
    | op(e2,e4) != e1
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_293,c_0_277]) ).

cnf(c_0_302,negated_conjecture,
    ( op(e2,e4) = e1
    | unit = e1
    | op(e2,e3) != e4
    | ~ epred5_0 ),
    inference(spm,[status(thm)],[c_0_294,c_0_277]) ).

cnf(c_0_303,plain,
    ( op(e2,e0) = e4
    | op(e2,e3) = e4
    | op(e2,e4) = e4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_295,c_0_21]),c_0_135]) ).

cnf(c_0_304,plain,
    op(e2,e0) != op(e4,e0),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_305,negated_conjecture,
    ( unit = e1
    | epred5_0
    | op(e3,e1) != op(e1,e3)
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_85]),c_0_86]) ).

cnf(c_0_306,negated_conjecture,
    ( unit = e1
    | epred6_0
    | ~ epred7_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_297]),c_0_135]) ).

cnf(c_0_307,negated_conjecture,
    ( unit = e1
    | epred7_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_299]),c_0_182]),c_0_300]) ).

cnf(c_0_308,plain,
    ( unit = e1
    | op(e2,e3) != e4
    | ~ epred5_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_302]),c_0_283]) ).

cnf(c_0_309,plain,
    ( op(e2,e3) = e4
    | op(e2,e0) = e4
    | op(e0,e4) != e4 ),
    inference(spm,[status(thm)],[c_0_92,c_0_303]) ).

cnf(c_0_310,negated_conjecture,
    ( unit = e1
    | op(e2,e0) != e4 ),
    inference(spm,[status(thm)],[c_0_304,c_0_182]) ).

cnf(c_0_311,negated_conjecture,
    ( unit = e1
    | epred5_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_263]),c_0_126]) ).

cnf(c_0_312,negated_conjecture,
    ( epred6_0
    | ~ epred7_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_306]),c_0_11]),c_0_55]) ).

cnf(c_0_313,negated_conjecture,
    epred7_0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_307]),c_0_11]),c_0_55]) ).

cnf(c_0_314,plain,
    ( unit = e1
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_309]),c_0_69]),c_0_310]) ).

cnf(c_0_315,negated_conjecture,
    ( epred5_0
    | ~ epred6_0 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_311]),c_0_11]),c_0_55]) ).

cnf(c_0_316,negated_conjecture,
    epred6_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_312,c_0_313])]) ).

cnf(c_0_317,plain,
    ~ epred5_0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_314]),c_0_11]),c_0_55]) ).

cnf(c_0_318,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_315,c_0_316])]),c_0_317]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ALG064+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun  8 12:06:07 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.31/17.49  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.31/17.49  # Preprocessing time       : 0.026 s
% 0.31/17.49  
% 0.31/17.49  # Proof found!
% 0.31/17.49  # SZS status Theorem
% 0.31/17.49  # SZS output start CNFRefutation
% See solution above
% 0.31/17.49  # Proof object total steps             : 319
% 0.31/17.49  # Proof object clause steps            : 286
% 0.31/17.49  # Proof object formula steps           : 33
% 0.31/17.49  # Proof object conjectures             : 72
% 0.31/17.49  # Proof object clause conjectures      : 69
% 0.31/17.49  # Proof object formula conjectures     : 3
% 0.31/17.49  # Proof object initial clauses used    : 106
% 0.31/17.49  # Proof object initial formulas used   : 7
% 0.31/17.49  # Proof object generating inferences   : 115
% 0.31/17.49  # Proof object simplifying inferences  : 181
% 0.31/17.49  # Training examples: 0 positive, 0 negative
% 0.31/17.49  # Parsed axioms                        : 7
% 0.31/17.49  # Removed by relevancy pruning/SinE    : 0
% 0.31/17.49  # Initial clauses                      : 424
% 0.31/17.49  # Removed in clause preprocessing      : 0
% 0.31/17.49  # Initial clauses in saturation        : 424
% 0.31/17.49  # Processed clauses                    : 43479
% 0.31/17.49  # ...of these trivial                  : 1028
% 0.31/17.49  # ...subsumed                          : 33707
% 0.31/17.49  # ...remaining for further processing  : 8744
% 0.31/17.49  # Other redundant clauses eliminated   : 0
% 0.31/17.49  # Clauses deleted for lack of memory   : 502699
% 0.31/17.49  # Backward-subsumed                    : 2554
% 0.31/17.49  # Backward-rewritten                   : 563
% 0.31/17.49  # Generated clauses                    : 993266
% 0.31/17.49  # ...of the previous two non-trivial   : 847668
% 0.31/17.49  # Contextual simplify-reflections      : 34814
% 0.31/17.49  # Paramodulations                      : 992316
% 0.31/17.49  # Factorizations                       : 918
% 0.31/17.49  # Equation resolutions                 : 0
% 0.31/17.49  # Current number of processed clauses  : 5595
% 0.31/17.49  #    Positive orientable unit clauses  : 17
% 0.31/17.49  #    Positive unorientable unit clauses: 0
% 0.31/17.49  #    Negative unit clauses             : 114
% 0.31/17.49  #    Non-unit-clauses                  : 5464
% 0.31/17.49  # Current number of unprocessed clauses: 106614
% 0.31/17.49  # ...number of literals in the above   : 749567
% 0.31/17.49  # Current number of archived formulas  : 0
% 0.31/17.49  # Current number of archived clauses   : 3149
% 0.31/17.49  # Clause-clause subsumption calls (NU) : 6602708
% 0.31/17.49  # Rec. Clause-clause subsumption calls : 228029
% 0.31/17.49  # Non-unit clause-clause subsumptions  : 51778
% 0.31/17.49  # Unit Clause-clause subsumption calls : 11289
% 0.31/17.49  # Rewrite failures with RHS unbound    : 0
% 0.31/17.49  # BW rewrite match attempts            : 4
% 0.31/17.49  # BW rewrite match successes           : 4
% 0.31/17.49  # Condensation attempts                : 0
% 0.31/17.49  # Condensation successes               : 0
% 0.31/17.49  # Termbank termtop insertions          : 16714079
% 0.31/17.49  
% 0.31/17.49  # -------------------------------------------------
% 0.31/17.49  # User time                : 16.353 s
% 0.31/17.49  # System time              : 0.131 s
% 0.31/17.49  # Total time               : 16.484 s
% 0.31/17.49  # Maximum resident set size: 132324 pages
% 0.31/23.40  eprover: CPU time limit exceeded, terminating
% 0.31/23.41  eprover: CPU time limit exceeded, terminating
% 0.31/23.41  eprover: CPU time limit exceeded, terminating
% 0.31/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.42  eprover: No such file or directory
% 0.31/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.42  eprover: No such file or directory
% 0.31/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.42  eprover: No such file or directory
% 0.31/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.43  eprover: No such file or directory
% 0.31/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.43  eprover: No such file or directory
% 0.31/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.43  eprover: No such file or directory
% 0.31/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.43  eprover: No such file or directory
% 0.31/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.43  eprover: No such file or directory
% 0.31/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.43  eprover: No such file or directory
% 0.31/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.44  eprover: No such file or directory
% 0.31/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.44  eprover: No such file or directory
% 0.31/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.44  eprover: No such file or directory
% 0.31/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.44  eprover: No such file or directory
% 0.31/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.44  eprover: No such file or directory
% 0.31/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.44  eprover: No such file or directory
% 0.31/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.44  eprover: No such file or directory
% 0.31/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.45  eprover: No such file or directory
% 0.31/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.45  eprover: No such file or directory
% 0.31/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.45  eprover: No such file or directory
% 0.31/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.45  eprover: No such file or directory
% 0.31/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.45  eprover: No such file or directory
% 0.31/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.45  eprover: No such file or directory
% 0.31/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.45  eprover: No such file or directory
% 0.31/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.46  eprover: No such file or directory
% 0.31/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.46  eprover: No such file or directory
% 0.31/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.46  eprover: No such file or directory
% 0.31/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.46  eprover: No such file or directory
% 0.31/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.46  eprover: No such file or directory
% 0.31/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.46  eprover: No such file or directory
% 0.31/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.47  eprover: No such file or directory
% 0.31/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.47  eprover: No such file or directory
% 0.31/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.47  eprover: No such file or directory
% 0.31/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.47  eprover: No such file or directory
%------------------------------------------------------------------------------