TSTP Solution File: ALG188+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : ALG188+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:10:42 EDT 2024

% Result   : Theorem 0.21s 0.40s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  225
% Syntax   : Number of formulae    :  853 ( 101 unt;   0 def)
%            Number of atoms       : 3862 (2545 equ)
%            Maximal formula atoms :  425 (   4 avg)
%            Number of connectives : 4927 (1918   ~;1618   |;1168   &)
%                                         ( 149 <=>;  74  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  126 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :  225 ( 223 usr; 224 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ( op(e0,e0) = e0
    & op(e0,e1) = e3
    & op(e0,e2) = e4
    & op(e0,e3) = e1
    & op(e0,e4) = e2
    & op(e1,e0) = e4
    & op(e1,e1) = e1
    & op(e1,e2) = e3
    & op(e1,e3) = e2
    & op(e1,e4) = e0
    & op(e2,e0) = e1
    & op(e2,e1) = e0
    & op(e2,e2) = e2
    & op(e2,e3) = e4
    & op(e2,e4) = e3
    & op(e3,e0) = e2
    & op(e3,e1) = e4
    & op(e3,e2) = e0
    & op(e3,e3) = e3
    & op(e3,e4) = e1
    & op(e4,e0) = e3
    & op(e4,e1) = e2
    & op(e4,e2) = e1
    & op(e4,e3) = e0
    & op(e4,e4) = e4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,conjecture,
    ( op(e0,op(e0,e0)) = e0
    & op(e0,op(e0,e1)) = e1
    & op(e0,op(e0,e2)) = e2
    & op(e0,op(e0,e3)) = e3
    & op(e0,op(e0,e4)) = e4
    & op(e1,op(e1,e0)) = e0
    & op(e1,op(e1,e1)) = e1
    & op(e1,op(e1,e2)) = e2
    & op(e1,op(e1,e3)) = e3
    & op(e1,op(e1,e4)) = e4
    & op(e2,op(e2,e0)) = e0
    & op(e2,op(e2,e1)) = e1
    & op(e2,op(e2,e2)) = e2
    & op(e2,op(e2,e3)) = e3
    & op(e2,op(e2,e4)) = e4
    & op(e3,op(e3,e0)) = e0
    & op(e3,op(e3,e1)) = e1
    & op(e3,op(e3,e2)) = e2
    & op(e3,op(e3,e3)) = e3
    & op(e3,op(e3,e4)) = e4
    & op(e4,op(e4,e0)) = e0
    & op(e4,op(e4,e1)) = e1
    & op(e4,op(e4,e2)) = e2
    & op(e4,op(e4,e3)) = e3
    & op(e4,op(e4,e4)) = e4
    & ( 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 )
    & ( 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 )
    & op(op(e0,e0),op(e0,e0)) = e0
    & op(op(e1,e0),op(e0,e1)) = e0
    & op(op(e2,e0),op(e0,e2)) = e0
    & op(op(e3,e0),op(e0,e3)) = e0
    & op(op(e4,e0),op(e0,e4)) = e0
    & op(op(e0,e1),op(e1,e0)) = e1
    & op(op(e1,e1),op(e1,e1)) = e1
    & op(op(e2,e1),op(e1,e2)) = e1
    & op(op(e3,e1),op(e1,e3)) = e1
    & op(op(e4,e1),op(e1,e4)) = e1
    & op(op(e0,e2),op(e2,e0)) = e2
    & op(op(e1,e2),op(e2,e1)) = e2
    & op(op(e2,e2),op(e2,e2)) = e2
    & op(op(e3,e2),op(e2,e3)) = e2
    & op(op(e4,e2),op(e2,e4)) = e2
    & op(op(e0,e3),op(e3,e0)) = e3
    & op(op(e1,e3),op(e3,e1)) = e3
    & op(op(e2,e3),op(e3,e2)) = e3
    & op(op(e3,e3),op(e3,e3)) = e3
    & op(op(e4,e3),op(e3,e4)) = e3
    & op(op(e0,e4),op(e4,e0)) = e4
    & op(op(e1,e4),op(e4,e1)) = e4
    & op(op(e2,e4),op(e4,e2)) = e4
    & op(op(e3,e4),op(e4,e3)) = e4
    & op(op(e4,e4),op(e4,e4)) = e4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ~ ( op(e0,op(e0,e0)) = e0
      & op(e0,op(e0,e1)) = e1
      & op(e0,op(e0,e2)) = e2
      & op(e0,op(e0,e3)) = e3
      & op(e0,op(e0,e4)) = e4
      & op(e1,op(e1,e0)) = e0
      & op(e1,op(e1,e1)) = e1
      & op(e1,op(e1,e2)) = e2
      & op(e1,op(e1,e3)) = e3
      & op(e1,op(e1,e4)) = e4
      & op(e2,op(e2,e0)) = e0
      & op(e2,op(e2,e1)) = e1
      & op(e2,op(e2,e2)) = e2
      & op(e2,op(e2,e3)) = e3
      & op(e2,op(e2,e4)) = e4
      & op(e3,op(e3,e0)) = e0
      & op(e3,op(e3,e1)) = e1
      & op(e3,op(e3,e2)) = e2
      & op(e3,op(e3,e3)) = e3
      & op(e3,op(e3,e4)) = e4
      & op(e4,op(e4,e0)) = e0
      & op(e4,op(e4,e1)) = e1
      & op(e4,op(e4,e2)) = e2
      & op(e4,op(e4,e3)) = e3
      & op(e4,op(e4,e4)) = e4
      & ( 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 )
      & ( 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 )
      & op(op(e0,e0),op(e0,e0)) = e0
      & op(op(e1,e0),op(e0,e1)) = e0
      & op(op(e2,e0),op(e0,e2)) = e0
      & op(op(e3,e0),op(e0,e3)) = e0
      & op(op(e4,e0),op(e0,e4)) = e0
      & op(op(e0,e1),op(e1,e0)) = e1
      & op(op(e1,e1),op(e1,e1)) = e1
      & op(op(e2,e1),op(e1,e2)) = e1
      & op(op(e3,e1),op(e1,e3)) = e1
      & op(op(e4,e1),op(e1,e4)) = e1
      & op(op(e0,e2),op(e2,e0)) = e2
      & op(op(e1,e2),op(e2,e1)) = e2
      & op(op(e2,e2),op(e2,e2)) = e2
      & op(op(e3,e2),op(e2,e3)) = e2
      & op(op(e4,e2),op(e2,e4)) = e2
      & op(op(e0,e3),op(e3,e0)) = e3
      & op(op(e1,e3),op(e3,e1)) = e3
      & op(op(e2,e3),op(e3,e2)) = e3
      & op(op(e3,e3),op(e3,e3)) = e3
      & op(op(e4,e3),op(e3,e4)) = e3
      & op(op(e0,e4),op(e4,e0)) = e4
      & op(op(e1,e4),op(e4,e1)) = e4
      & op(op(e2,e4),op(e4,e2)) = e4
      & op(op(e3,e4),op(e4,e3)) = e4
      & op(op(e4,e4),op(e4,e4)) = e4 ),
    inference(negated_conjecture,[status(cth)],[f3]) ).

fof(f15,plain,
    op(e0,e0) = e0,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f16,plain,
    op(e0,e1) = e3,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f17,plain,
    op(e0,e2) = e4,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f18,plain,
    op(e0,e3) = e1,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f19,plain,
    op(e0,e4) = e2,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f20,plain,
    op(e1,e0) = e4,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f21,plain,
    op(e1,e1) = e1,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f22,plain,
    op(e1,e2) = e3,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f23,plain,
    op(e1,e3) = e2,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f24,plain,
    op(e1,e4) = e0,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f25,plain,
    op(e2,e0) = e1,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f26,plain,
    op(e2,e1) = e0,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f27,plain,
    op(e2,e2) = e2,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f28,plain,
    op(e2,e3) = e4,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f29,plain,
    op(e2,e4) = e3,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f30,plain,
    op(e3,e0) = e2,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f31,plain,
    op(e3,e1) = e4,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f32,plain,
    op(e3,e2) = e0,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f33,plain,
    op(e3,e3) = e3,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f34,plain,
    op(e3,e4) = e1,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f35,plain,
    op(e4,e0) = e3,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f36,plain,
    op(e4,e1) = e2,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f37,plain,
    op(e4,e2) = e1,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f38,plain,
    op(e4,e3) = e0,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f39,plain,
    op(e4,e4) = e4,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f40,plain,
    ( op(e0,op(e0,e0)) != e0
    | op(e0,op(e0,e1)) != e1
    | op(e0,op(e0,e2)) != e2
    | op(e0,op(e0,e3)) != e3
    | op(e0,op(e0,e4)) != e4
    | op(e1,op(e1,e0)) != e0
    | op(e1,op(e1,e1)) != e1
    | op(e1,op(e1,e2)) != e2
    | op(e1,op(e1,e3)) != e3
    | op(e1,op(e1,e4)) != e4
    | op(e2,op(e2,e0)) != e0
    | op(e2,op(e2,e1)) != e1
    | op(e2,op(e2,e2)) != e2
    | op(e2,op(e2,e3)) != e3
    | op(e2,op(e2,e4)) != e4
    | op(e3,op(e3,e0)) != e0
    | op(e3,op(e3,e1)) != e1
    | op(e3,op(e3,e2)) != e2
    | op(e3,op(e3,e3)) != e3
    | op(e3,op(e3,e4)) != e4
    | op(e4,op(e4,e0)) != e0
    | op(e4,op(e4,e1)) != e1
    | op(e4,op(e4,e2)) != e2
    | op(e4,op(e4,e3)) != e3
    | op(e4,op(e4,e4)) != e4
    | ( 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 )
    | ( 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 )
    | op(op(e0,e0),op(e0,e0)) != e0
    | op(op(e1,e0),op(e0,e1)) != e0
    | op(op(e2,e0),op(e0,e2)) != e0
    | op(op(e3,e0),op(e0,e3)) != e0
    | op(op(e4,e0),op(e0,e4)) != e0
    | op(op(e0,e1),op(e1,e0)) != e1
    | op(op(e1,e1),op(e1,e1)) != e1
    | op(op(e2,e1),op(e1,e2)) != e1
    | op(op(e3,e1),op(e1,e3)) != e1
    | op(op(e4,e1),op(e1,e4)) != e1
    | op(op(e0,e2),op(e2,e0)) != e2
    | op(op(e1,e2),op(e2,e1)) != e2
    | op(op(e2,e2),op(e2,e2)) != e2
    | op(op(e3,e2),op(e2,e3)) != e2
    | op(op(e4,e2),op(e2,e4)) != e2
    | op(op(e0,e3),op(e3,e0)) != e3
    | op(op(e1,e3),op(e3,e1)) != e3
    | op(op(e2,e3),op(e3,e2)) != e3
    | op(op(e3,e3),op(e3,e3)) != e3
    | op(op(e4,e3),op(e3,e4)) != e3
    | op(op(e0,e4),op(e4,e0)) != e4
    | op(op(e1,e4),op(e4,e1)) != e4
    | op(op(e2,e4),op(e4,e2)) != e4
    | op(op(e3,e4),op(e4,e3)) != e4
    | op(op(e4,e4),op(e4,e4)) != e4 ),
    inference(pre_NNF_transformation,[status(esa)],[f4]) ).

fof(f41,plain,
    ( pd0_0
   => ( op(e0,e0) != e0
      & op(e0,e0) != e1
      & op(e0,e0) != e2
      & op(e0,e0) != e3
      & op(e0,e0) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f42,plain,
    ( pd0_1
   => ( op(e0,e1) != e0
      & op(e0,e1) != e1
      & op(e0,e1) != e2
      & op(e0,e1) != e3
      & op(e0,e1) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f43,plain,
    ( pd0_2
   => ( op(e0,e2) != e0
      & op(e0,e2) != e1
      & op(e0,e2) != e2
      & op(e0,e2) != e3
      & op(e0,e2) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f44,plain,
    ( pd0_3
   => ( op(e0,e3) != e0
      & op(e0,e3) != e1
      & op(e0,e3) != e2
      & op(e0,e3) != e3
      & op(e0,e3) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f45,plain,
    ( pd0_4
   => ( op(e0,e4) != e0
      & op(e0,e4) != e1
      & op(e0,e4) != e2
      & op(e0,e4) != e3
      & op(e0,e4) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f46,plain,
    ( pd0_5
   => ( op(e1,e0) != e0
      & op(e1,e0) != e1
      & op(e1,e0) != e2
      & op(e1,e0) != e3
      & op(e1,e0) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f47,plain,
    ( pd0_6
   => ( op(e1,e1) != e0
      & op(e1,e1) != e1
      & op(e1,e1) != e2
      & op(e1,e1) != e3
      & op(e1,e1) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f48,plain,
    ( pd0_7
   => ( op(e1,e2) != e0
      & op(e1,e2) != e1
      & op(e1,e2) != e2
      & op(e1,e2) != e3
      & op(e1,e2) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f49,plain,
    ( pd0_8
   => ( op(e1,e3) != e0
      & op(e1,e3) != e1
      & op(e1,e3) != e2
      & op(e1,e3) != e3
      & op(e1,e3) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f50,plain,
    ( pd0_9
   => ( op(e1,e4) != e0
      & op(e1,e4) != e1
      & op(e1,e4) != e2
      & op(e1,e4) != e3
      & op(e1,e4) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f51,plain,
    ( pd0_10
   => ( op(e2,e0) != e0
      & op(e2,e0) != e1
      & op(e2,e0) != e2
      & op(e2,e0) != e3
      & op(e2,e0) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f52,plain,
    ( pd0_11
   => ( op(e2,e1) != e0
      & op(e2,e1) != e1
      & op(e2,e1) != e2
      & op(e2,e1) != e3
      & op(e2,e1) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f53,plain,
    ( pd0_12
   => ( op(e2,e2) != e0
      & op(e2,e2) != e1
      & op(e2,e2) != e2
      & op(e2,e2) != e3
      & op(e2,e2) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f54,plain,
    ( pd0_13
   => ( op(e2,e3) != e0
      & op(e2,e3) != e1
      & op(e2,e3) != e2
      & op(e2,e3) != e3
      & op(e2,e3) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f55,plain,
    ( pd0_14
   => ( op(e2,e4) != e0
      & op(e2,e4) != e1
      & op(e2,e4) != e2
      & op(e2,e4) != e3
      & op(e2,e4) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f56,plain,
    ( pd0_15
   => ( op(e3,e0) != e0
      & op(e3,e0) != e1
      & op(e3,e0) != e2
      & op(e3,e0) != e3
      & op(e3,e0) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f57,plain,
    ( pd0_16
   => ( op(e3,e1) != e0
      & op(e3,e1) != e1
      & op(e3,e1) != e2
      & op(e3,e1) != e3
      & op(e3,e1) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f58,plain,
    ( pd0_17
   => ( op(e3,e2) != e0
      & op(e3,e2) != e1
      & op(e3,e2) != e2
      & op(e3,e2) != e3
      & op(e3,e2) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f59,plain,
    ( pd0_18
   => ( op(e3,e3) != e0
      & op(e3,e3) != e1
      & op(e3,e3) != e2
      & op(e3,e3) != e3
      & op(e3,e3) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f60,plain,
    ( pd0_19
   => ( op(e3,e4) != e0
      & op(e3,e4) != e1
      & op(e3,e4) != e2
      & op(e3,e4) != e3
      & op(e3,e4) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f61,plain,
    ( pd0_20
   => ( op(e4,e0) != e0
      & op(e4,e0) != e1
      & op(e4,e0) != e2
      & op(e4,e0) != e3
      & op(e4,e0) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f62,plain,
    ( pd0_21
   => ( op(e4,e1) != e0
      & op(e4,e1) != e1
      & op(e4,e1) != e2
      & op(e4,e1) != e3
      & op(e4,e1) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f63,plain,
    ( pd0_22
   => ( op(e4,e2) != e0
      & op(e4,e2) != e1
      & op(e4,e2) != e2
      & op(e4,e2) != e3
      & op(e4,e2) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f64,plain,
    ( pd0_23
   => ( op(e4,e3) != e0
      & op(e4,e3) != e1
      & op(e4,e3) != e2
      & op(e4,e3) != e3
      & op(e4,e3) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f65,plain,
    ( pd0_24
   => ( op(e4,e4) != e0
      & op(e4,e4) != e1
      & op(e4,e4) != e2
      & op(e4,e4) != e3
      & op(e4,e4) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f66,plain,
    ( pd0_25
   => ( op(e0,e0) != e0
      & op(e0,e1) != e0
      & op(e0,e2) != e0
      & op(e0,e3) != e0
      & op(e0,e4) != e0 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f67,plain,
    ( pd0_26
   => ( op(e0,e0) != e0
      & op(e1,e0) != e0
      & op(e2,e0) != e0
      & op(e3,e0) != e0
      & op(e4,e0) != e0 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f68,plain,
    ( pd0_27
   => ( op(e0,e0) != e1
      & op(e0,e1) != e1
      & op(e0,e2) != e1
      & op(e0,e3) != e1
      & op(e0,e4) != e1 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f69,plain,
    ( pd0_28
   => ( op(e0,e0) != e1
      & op(e1,e0) != e1
      & op(e2,e0) != e1
      & op(e3,e0) != e1
      & op(e4,e0) != e1 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f70,plain,
    ( pd0_29
   => ( op(e0,e0) != e2
      & op(e0,e1) != e2
      & op(e0,e2) != e2
      & op(e0,e3) != e2
      & op(e0,e4) != e2 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f71,plain,
    ( pd0_30
   => ( op(e0,e0) != e2
      & op(e1,e0) != e2
      & op(e2,e0) != e2
      & op(e3,e0) != e2
      & op(e4,e0) != e2 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f72,plain,
    ( pd0_31
   => ( op(e0,e0) != e3
      & op(e0,e1) != e3
      & op(e0,e2) != e3
      & op(e0,e3) != e3
      & op(e0,e4) != e3 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f73,plain,
    ( pd0_32
   => ( op(e0,e0) != e3
      & op(e1,e0) != e3
      & op(e2,e0) != e3
      & op(e3,e0) != e3
      & op(e4,e0) != e3 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f74,plain,
    ( pd0_33
   => ( op(e0,e0) != e4
      & op(e0,e1) != e4
      & op(e0,e2) != e4
      & op(e0,e3) != e4
      & op(e0,e4) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f75,plain,
    ( pd0_34
   => ( op(e0,e0) != e4
      & op(e1,e0) != e4
      & op(e2,e0) != e4
      & op(e3,e0) != e4
      & op(e4,e0) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f76,plain,
    ( pd0_35
   => ( op(e1,e0) != e0
      & op(e1,e1) != e0
      & op(e1,e2) != e0
      & op(e1,e3) != e0
      & op(e1,e4) != e0 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f77,plain,
    ( pd0_36
   => ( op(e0,e1) != e0
      & op(e1,e1) != e0
      & op(e2,e1) != e0
      & op(e3,e1) != e0
      & op(e4,e1) != e0 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f78,plain,
    ( pd0_37
   => ( op(e1,e0) != e1
      & op(e1,e1) != e1
      & op(e1,e2) != e1
      & op(e1,e3) != e1
      & op(e1,e4) != e1 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f79,plain,
    ( pd0_38
   => ( op(e0,e1) != e1
      & op(e1,e1) != e1
      & op(e2,e1) != e1
      & op(e3,e1) != e1
      & op(e4,e1) != e1 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f80,plain,
    ( pd0_39
   => ( op(e1,e0) != e2
      & op(e1,e1) != e2
      & op(e1,e2) != e2
      & op(e1,e3) != e2
      & op(e1,e4) != e2 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f81,plain,
    ( pd0_40
   => ( op(e0,e1) != e2
      & op(e1,e1) != e2
      & op(e2,e1) != e2
      & op(e3,e1) != e2
      & op(e4,e1) != e2 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f82,plain,
    ( pd0_41
   => ( op(e1,e0) != e3
      & op(e1,e1) != e3
      & op(e1,e2) != e3
      & op(e1,e3) != e3
      & op(e1,e4) != e3 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f83,plain,
    ( pd0_42
   => ( op(e0,e1) != e3
      & op(e1,e1) != e3
      & op(e2,e1) != e3
      & op(e3,e1) != e3
      & op(e4,e1) != e3 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f84,plain,
    ( pd0_43
   => ( op(e1,e0) != e4
      & op(e1,e1) != e4
      & op(e1,e2) != e4
      & op(e1,e3) != e4
      & op(e1,e4) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f85,plain,
    ( pd0_44
   => ( op(e0,e1) != e4
      & op(e1,e1) != e4
      & op(e2,e1) != e4
      & op(e3,e1) != e4
      & op(e4,e1) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f86,plain,
    ( pd0_45
   => ( op(e2,e0) != e0
      & op(e2,e1) != e0
      & op(e2,e2) != e0
      & op(e2,e3) != e0
      & op(e2,e4) != e0 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f87,plain,
    ( pd0_46
   => ( op(e0,e2) != e0
      & op(e1,e2) != e0
      & op(e2,e2) != e0
      & op(e3,e2) != e0
      & op(e4,e2) != e0 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f88,plain,
    ( pd0_47
   => ( op(e2,e0) != e1
      & op(e2,e1) != e1
      & op(e2,e2) != e1
      & op(e2,e3) != e1
      & op(e2,e4) != e1 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f89,plain,
    ( pd0_48
   => ( op(e0,e2) != e1
      & op(e1,e2) != e1
      & op(e2,e2) != e1
      & op(e3,e2) != e1
      & op(e4,e2) != e1 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f90,plain,
    ( pd0_49
   => ( op(e2,e0) != e2
      & op(e2,e1) != e2
      & op(e2,e2) != e2
      & op(e2,e3) != e2
      & op(e2,e4) != e2 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f91,plain,
    ( pd0_50
   => ( op(e0,e2) != e2
      & op(e1,e2) != e2
      & op(e2,e2) != e2
      & op(e3,e2) != e2
      & op(e4,e2) != e2 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f92,plain,
    ( pd0_51
   => ( op(e2,e0) != e3
      & op(e2,e1) != e3
      & op(e2,e2) != e3
      & op(e2,e3) != e3
      & op(e2,e4) != e3 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f93,plain,
    ( pd0_52
   => ( op(e0,e2) != e3
      & op(e1,e2) != e3
      & op(e2,e2) != e3
      & op(e3,e2) != e3
      & op(e4,e2) != e3 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f94,plain,
    ( pd0_53
   => ( op(e2,e0) != e4
      & op(e2,e1) != e4
      & op(e2,e2) != e4
      & op(e2,e3) != e4
      & op(e2,e4) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f95,plain,
    ( pd0_54
   => ( op(e0,e2) != e4
      & op(e1,e2) != e4
      & op(e2,e2) != e4
      & op(e3,e2) != e4
      & op(e4,e2) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f96,plain,
    ( pd0_55
   => ( op(e3,e0) != e0
      & op(e3,e1) != e0
      & op(e3,e2) != e0
      & op(e3,e3) != e0
      & op(e3,e4) != e0 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f97,plain,
    ( pd0_56
   => ( op(e0,e3) != e0
      & op(e1,e3) != e0
      & op(e2,e3) != e0
      & op(e3,e3) != e0
      & op(e4,e3) != e0 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f98,plain,
    ( pd0_57
   => ( op(e3,e0) != e1
      & op(e3,e1) != e1
      & op(e3,e2) != e1
      & op(e3,e3) != e1
      & op(e3,e4) != e1 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f99,plain,
    ( pd0_58
   => ( op(e0,e3) != e1
      & op(e1,e3) != e1
      & op(e2,e3) != e1
      & op(e3,e3) != e1
      & op(e4,e3) != e1 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f100,plain,
    ( pd0_59
   => ( op(e3,e0) != e2
      & op(e3,e1) != e2
      & op(e3,e2) != e2
      & op(e3,e3) != e2
      & op(e3,e4) != e2 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f101,plain,
    ( pd0_60
   => ( op(e0,e3) != e2
      & op(e1,e3) != e2
      & op(e2,e3) != e2
      & op(e3,e3) != e2
      & op(e4,e3) != e2 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f102,plain,
    ( pd0_61
   => ( op(e3,e0) != e3
      & op(e3,e1) != e3
      & op(e3,e2) != e3
      & op(e3,e3) != e3
      & op(e3,e4) != e3 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f103,plain,
    ( pd0_62
   => ( op(e0,e3) != e3
      & op(e1,e3) != e3
      & op(e2,e3) != e3
      & op(e3,e3) != e3
      & op(e4,e3) != e3 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f104,plain,
    ( pd0_63
   => ( op(e3,e0) != e4
      & op(e3,e1) != e4
      & op(e3,e2) != e4
      & op(e3,e3) != e4
      & op(e3,e4) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f105,plain,
    ( pd0_64
   => ( op(e0,e3) != e4
      & op(e1,e3) != e4
      & op(e2,e3) != e4
      & op(e3,e3) != e4
      & op(e4,e3) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f106,plain,
    ( pd0_65
   => ( op(e4,e0) != e0
      & op(e4,e1) != e0
      & op(e4,e2) != e0
      & op(e4,e3) != e0
      & op(e4,e4) != e0 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f107,plain,
    ( pd0_66
   => ( op(e0,e4) != e0
      & op(e1,e4) != e0
      & op(e2,e4) != e0
      & op(e3,e4) != e0
      & op(e4,e4) != e0 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f108,plain,
    ( pd0_67
   => ( op(e4,e0) != e1
      & op(e4,e1) != e1
      & op(e4,e2) != e1
      & op(e4,e3) != e1
      & op(e4,e4) != e1 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f109,plain,
    ( pd0_68
   => ( op(e0,e4) != e1
      & op(e1,e4) != e1
      & op(e2,e4) != e1
      & op(e3,e4) != e1
      & op(e4,e4) != e1 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f110,plain,
    ( pd0_69
   => ( op(e4,e0) != e2
      & op(e4,e1) != e2
      & op(e4,e2) != e2
      & op(e4,e3) != e2
      & op(e4,e4) != e2 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f111,plain,
    ( pd0_70
   => ( op(e0,e4) != e2
      & op(e1,e4) != e2
      & op(e2,e4) != e2
      & op(e3,e4) != e2
      & op(e4,e4) != e2 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f112,plain,
    ( pd0_71
   => ( op(e4,e0) != e3
      & op(e4,e1) != e3
      & op(e4,e2) != e3
      & op(e4,e3) != e3
      & op(e4,e4) != e3 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f113,plain,
    ( pd0_72
   => ( op(e0,e4) != e3
      & op(e1,e4) != e3
      & op(e2,e4) != e3
      & op(e3,e4) != e3
      & op(e4,e4) != e3 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f114,plain,
    ( pd0_73
   => ( op(e4,e0) != e4
      & op(e4,e1) != e4
      & op(e4,e2) != e4
      & op(e4,e3) != e4
      & op(e4,e4) != e4 ) ),
    introduced(predicate_definition,[f40]) ).

fof(f115,plain,
    ( op(e0,op(e0,e0)) != e0
    | op(e0,op(e0,e1)) != e1
    | op(e0,op(e0,e2)) != e2
    | op(e0,op(e0,e3)) != e3
    | op(e0,op(e0,e4)) != e4
    | op(e1,op(e1,e0)) != e0
    | op(e1,op(e1,e1)) != e1
    | op(e1,op(e1,e2)) != e2
    | op(e1,op(e1,e3)) != e3
    | op(e1,op(e1,e4)) != e4
    | op(e2,op(e2,e0)) != e0
    | op(e2,op(e2,e1)) != e1
    | op(e2,op(e2,e2)) != e2
    | op(e2,op(e2,e3)) != e3
    | op(e2,op(e2,e4)) != e4
    | op(e3,op(e3,e0)) != e0
    | op(e3,op(e3,e1)) != e1
    | op(e3,op(e3,e2)) != e2
    | op(e3,op(e3,e3)) != e3
    | op(e3,op(e3,e4)) != e4
    | op(e4,op(e4,e0)) != e0
    | op(e4,op(e4,e1)) != e1
    | op(e4,op(e4,e2)) != e2
    | op(e4,op(e4,e3)) != e3
    | op(e4,op(e4,e4)) != e4
    | pd0_0
    | pd0_1
    | pd0_2
    | pd0_3
    | pd0_4
    | pd0_5
    | pd0_6
    | pd0_7
    | pd0_8
    | pd0_9
    | pd0_10
    | pd0_11
    | pd0_12
    | pd0_13
    | pd0_14
    | pd0_15
    | pd0_16
    | pd0_17
    | pd0_18
    | pd0_19
    | pd0_20
    | pd0_21
    | pd0_22
    | pd0_23
    | pd0_24
    | pd0_25
    | pd0_26
    | pd0_27
    | pd0_28
    | pd0_29
    | pd0_30
    | pd0_31
    | pd0_32
    | pd0_33
    | pd0_34
    | pd0_35
    | pd0_36
    | pd0_37
    | pd0_38
    | pd0_39
    | pd0_40
    | pd0_41
    | pd0_42
    | pd0_43
    | pd0_44
    | pd0_45
    | pd0_46
    | pd0_47
    | pd0_48
    | pd0_49
    | pd0_50
    | pd0_51
    | pd0_52
    | pd0_53
    | pd0_54
    | pd0_55
    | pd0_56
    | pd0_57
    | pd0_58
    | pd0_59
    | pd0_60
    | pd0_61
    | pd0_62
    | pd0_63
    | pd0_64
    | pd0_65
    | pd0_66
    | pd0_67
    | pd0_68
    | pd0_69
    | pd0_70
    | pd0_71
    | pd0_72
    | pd0_73
    | ( op(e0,e4) != e4
      & op(e1,e4) != e4
      & op(e2,e4) != e4
      & op(e3,e4) != e4
      & op(e4,e4) != e4 )
    | op(op(e0,e0),op(e0,e0)) != e0
    | op(op(e1,e0),op(e0,e1)) != e0
    | op(op(e2,e0),op(e0,e2)) != e0
    | op(op(e3,e0),op(e0,e3)) != e0
    | op(op(e4,e0),op(e0,e4)) != e0
    | op(op(e0,e1),op(e1,e0)) != e1
    | op(op(e1,e1),op(e1,e1)) != e1
    | op(op(e2,e1),op(e1,e2)) != e1
    | op(op(e3,e1),op(e1,e3)) != e1
    | op(op(e4,e1),op(e1,e4)) != e1
    | op(op(e0,e2),op(e2,e0)) != e2
    | op(op(e1,e2),op(e2,e1)) != e2
    | op(op(e2,e2),op(e2,e2)) != e2
    | op(op(e3,e2),op(e2,e3)) != e2
    | op(op(e4,e2),op(e2,e4)) != e2
    | op(op(e0,e3),op(e3,e0)) != e3
    | op(op(e1,e3),op(e3,e1)) != e3
    | op(op(e2,e3),op(e3,e2)) != e3
    | op(op(e3,e3),op(e3,e3)) != e3
    | op(op(e4,e3),op(e3,e4)) != e3
    | op(op(e0,e4),op(e4,e0)) != e4
    | op(op(e1,e4),op(e4,e1)) != e4
    | op(op(e2,e4),op(e4,e2)) != e4
    | op(op(e3,e4),op(e4,e3)) != e4
    | op(op(e4,e4),op(e4,e4)) != e4 ),
    inference(formula_renaming,[status(thm)],[f40,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41]) ).

fof(f120,plain,
    ( op(e0,op(e0,e0)) != e0
    | op(e0,op(e0,e1)) != e1
    | op(e0,op(e0,e2)) != e2
    | op(e0,op(e0,e3)) != e3
    | op(e0,op(e0,e4)) != e4
    | op(e1,op(e1,e0)) != e0
    | op(e1,op(e1,e1)) != e1
    | op(e1,op(e1,e2)) != e2
    | op(e1,op(e1,e3)) != e3
    | op(e1,op(e1,e4)) != e4
    | op(e2,op(e2,e0)) != e0
    | op(e2,op(e2,e1)) != e1
    | op(e2,op(e2,e2)) != e2
    | op(e2,op(e2,e3)) != e3
    | op(e2,op(e2,e4)) != e4
    | op(e3,op(e3,e0)) != e0
    | op(e3,op(e3,e1)) != e1
    | op(e3,op(e3,e2)) != e2
    | op(e3,op(e3,e3)) != e3
    | op(e3,op(e3,e4)) != e4
    | op(e4,op(e4,e0)) != e0
    | op(e4,op(e4,e1)) != e1
    | op(e4,op(e4,e2)) != e2
    | op(e4,op(e4,e3)) != e3
    | op(e4,op(e4,e4)) != e4
    | pd0_0
    | pd0_1
    | pd0_2
    | pd0_3
    | pd0_4
    | pd0_5
    | pd0_6
    | pd0_7
    | pd0_8
    | pd0_9
    | pd0_10
    | pd0_11
    | pd0_12
    | pd0_13
    | pd0_14
    | pd0_15
    | pd0_16
    | pd0_17
    | pd0_18
    | pd0_19
    | pd0_20
    | pd0_21
    | pd0_22
    | pd0_23
    | pd0_24
    | pd0_25
    | pd0_26
    | pd0_27
    | pd0_28
    | pd0_29
    | pd0_30
    | pd0_31
    | pd0_32
    | pd0_33
    | pd0_34
    | pd0_35
    | pd0_36
    | pd0_37
    | pd0_38
    | pd0_39
    | pd0_40
    | pd0_41
    | pd0_42
    | pd0_43
    | pd0_44
    | pd0_45
    | pd0_46
    | pd0_47
    | pd0_48
    | pd0_49
    | pd0_50
    | pd0_51
    | pd0_52
    | pd0_53
    | pd0_54
    | pd0_55
    | pd0_56
    | pd0_57
    | pd0_58
    | pd0_59
    | pd0_60
    | pd0_61
    | pd0_62
    | pd0_63
    | pd0_64
    | pd0_65
    | pd0_66
    | pd0_67
    | pd0_68
    | pd0_69
    | pd0_70
    | pd0_71
    | pd0_72
    | pd0_73
    | op(e4,e4) != e4
    | op(op(e0,e0),op(e0,e0)) != e0
    | op(op(e1,e0),op(e0,e1)) != e0
    | op(op(e2,e0),op(e0,e2)) != e0
    | op(op(e3,e0),op(e0,e3)) != e0
    | op(op(e4,e0),op(e0,e4)) != e0
    | op(op(e0,e1),op(e1,e0)) != e1
    | op(op(e1,e1),op(e1,e1)) != e1
    | op(op(e2,e1),op(e1,e2)) != e1
    | op(op(e3,e1),op(e1,e3)) != e1
    | op(op(e4,e1),op(e1,e4)) != e1
    | op(op(e0,e2),op(e2,e0)) != e2
    | op(op(e1,e2),op(e2,e1)) != e2
    | op(op(e2,e2),op(e2,e2)) != e2
    | op(op(e3,e2),op(e2,e3)) != e2
    | op(op(e4,e2),op(e2,e4)) != e2
    | op(op(e0,e3),op(e3,e0)) != e3
    | op(op(e1,e3),op(e3,e1)) != e3
    | op(op(e2,e3),op(e3,e2)) != e3
    | op(op(e3,e3),op(e3,e3)) != e3
    | op(op(e4,e3),op(e3,e4)) != e3
    | op(op(e0,e4),op(e4,e0)) != e4
    | op(op(e1,e4),op(e4,e1)) != e4
    | op(op(e2,e4),op(e4,e2)) != e4
    | op(op(e3,e4),op(e4,e3)) != e4
    | op(op(e4,e4),op(e4,e4)) != e4 ),
    inference(cnf_transformation,[status(esa)],[f115]) ).

fof(f121,plain,
    ( ~ pd0_0
    | ( op(e0,e0) != e0
      & op(e0,e0) != e1
      & op(e0,e0) != e2
      & op(e0,e0) != e3
      & op(e0,e0) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f41]) ).

fof(f122,plain,
    ( ~ pd0_0
    | op(e0,e0) != e0 ),
    inference(cnf_transformation,[status(esa)],[f121]) ).

fof(f127,plain,
    ( ~ pd0_1
    | ( op(e0,e1) != e0
      & op(e0,e1) != e1
      & op(e0,e1) != e2
      & op(e0,e1) != e3
      & op(e0,e1) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f42]) ).

fof(f131,plain,
    ( ~ pd0_1
    | op(e0,e1) != e3 ),
    inference(cnf_transformation,[status(esa)],[f127]) ).

fof(f133,plain,
    ( ~ pd0_2
    | ( op(e0,e2) != e0
      & op(e0,e2) != e1
      & op(e0,e2) != e2
      & op(e0,e2) != e3
      & op(e0,e2) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f43]) ).

fof(f138,plain,
    ( ~ pd0_2
    | op(e0,e2) != e4 ),
    inference(cnf_transformation,[status(esa)],[f133]) ).

fof(f139,plain,
    ( ~ pd0_3
    | ( op(e0,e3) != e0
      & op(e0,e3) != e1
      & op(e0,e3) != e2
      & op(e0,e3) != e3
      & op(e0,e3) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f44]) ).

fof(f141,plain,
    ( ~ pd0_3
    | op(e0,e3) != e1 ),
    inference(cnf_transformation,[status(esa)],[f139]) ).

fof(f145,plain,
    ( ~ pd0_4
    | ( op(e0,e4) != e0
      & op(e0,e4) != e1
      & op(e0,e4) != e2
      & op(e0,e4) != e3
      & op(e0,e4) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f45]) ).

fof(f148,plain,
    ( ~ pd0_4
    | op(e0,e4) != e2 ),
    inference(cnf_transformation,[status(esa)],[f145]) ).

fof(f151,plain,
    ( ~ pd0_5
    | ( op(e1,e0) != e0
      & op(e1,e0) != e1
      & op(e1,e0) != e2
      & op(e1,e0) != e3
      & op(e1,e0) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f46]) ).

fof(f156,plain,
    ( ~ pd0_5
    | op(e1,e0) != e4 ),
    inference(cnf_transformation,[status(esa)],[f151]) ).

fof(f157,plain,
    ( ~ pd0_6
    | ( op(e1,e1) != e0
      & op(e1,e1) != e1
      & op(e1,e1) != e2
      & op(e1,e1) != e3
      & op(e1,e1) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f47]) ).

fof(f159,plain,
    ( ~ pd0_6
    | op(e1,e1) != e1 ),
    inference(cnf_transformation,[status(esa)],[f157]) ).

fof(f163,plain,
    ( ~ pd0_7
    | ( op(e1,e2) != e0
      & op(e1,e2) != e1
      & op(e1,e2) != e2
      & op(e1,e2) != e3
      & op(e1,e2) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f48]) ).

fof(f167,plain,
    ( ~ pd0_7
    | op(e1,e2) != e3 ),
    inference(cnf_transformation,[status(esa)],[f163]) ).

fof(f169,plain,
    ( ~ pd0_8
    | ( op(e1,e3) != e0
      & op(e1,e3) != e1
      & op(e1,e3) != e2
      & op(e1,e3) != e3
      & op(e1,e3) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f49]) ).

fof(f172,plain,
    ( ~ pd0_8
    | op(e1,e3) != e2 ),
    inference(cnf_transformation,[status(esa)],[f169]) ).

fof(f175,plain,
    ( ~ pd0_9
    | ( op(e1,e4) != e0
      & op(e1,e4) != e1
      & op(e1,e4) != e2
      & op(e1,e4) != e3
      & op(e1,e4) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f50]) ).

fof(f176,plain,
    ( ~ pd0_9
    | op(e1,e4) != e0 ),
    inference(cnf_transformation,[status(esa)],[f175]) ).

fof(f181,plain,
    ( ~ pd0_10
    | ( op(e2,e0) != e0
      & op(e2,e0) != e1
      & op(e2,e0) != e2
      & op(e2,e0) != e3
      & op(e2,e0) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f51]) ).

fof(f183,plain,
    ( ~ pd0_10
    | op(e2,e0) != e1 ),
    inference(cnf_transformation,[status(esa)],[f181]) ).

fof(f187,plain,
    ( ~ pd0_11
    | ( op(e2,e1) != e0
      & op(e2,e1) != e1
      & op(e2,e1) != e2
      & op(e2,e1) != e3
      & op(e2,e1) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f52]) ).

fof(f188,plain,
    ( ~ pd0_11
    | op(e2,e1) != e0 ),
    inference(cnf_transformation,[status(esa)],[f187]) ).

fof(f193,plain,
    ( ~ pd0_12
    | ( op(e2,e2) != e0
      & op(e2,e2) != e1
      & op(e2,e2) != e2
      & op(e2,e2) != e3
      & op(e2,e2) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f53]) ).

fof(f196,plain,
    ( ~ pd0_12
    | op(e2,e2) != e2 ),
    inference(cnf_transformation,[status(esa)],[f193]) ).

fof(f199,plain,
    ( ~ pd0_13
    | ( op(e2,e3) != e0
      & op(e2,e3) != e1
      & op(e2,e3) != e2
      & op(e2,e3) != e3
      & op(e2,e3) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f54]) ).

fof(f204,plain,
    ( ~ pd0_13
    | op(e2,e3) != e4 ),
    inference(cnf_transformation,[status(esa)],[f199]) ).

fof(f205,plain,
    ( ~ pd0_14
    | ( op(e2,e4) != e0
      & op(e2,e4) != e1
      & op(e2,e4) != e2
      & op(e2,e4) != e3
      & op(e2,e4) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f55]) ).

fof(f209,plain,
    ( ~ pd0_14
    | op(e2,e4) != e3 ),
    inference(cnf_transformation,[status(esa)],[f205]) ).

fof(f211,plain,
    ( ~ pd0_15
    | ( op(e3,e0) != e0
      & op(e3,e0) != e1
      & op(e3,e0) != e2
      & op(e3,e0) != e3
      & op(e3,e0) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f56]) ).

fof(f214,plain,
    ( ~ pd0_15
    | op(e3,e0) != e2 ),
    inference(cnf_transformation,[status(esa)],[f211]) ).

fof(f217,plain,
    ( ~ pd0_16
    | ( op(e3,e1) != e0
      & op(e3,e1) != e1
      & op(e3,e1) != e2
      & op(e3,e1) != e3
      & op(e3,e1) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f57]) ).

fof(f222,plain,
    ( ~ pd0_16
    | op(e3,e1) != e4 ),
    inference(cnf_transformation,[status(esa)],[f217]) ).

fof(f223,plain,
    ( ~ pd0_17
    | ( op(e3,e2) != e0
      & op(e3,e2) != e1
      & op(e3,e2) != e2
      & op(e3,e2) != e3
      & op(e3,e2) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f58]) ).

fof(f224,plain,
    ( ~ pd0_17
    | op(e3,e2) != e0 ),
    inference(cnf_transformation,[status(esa)],[f223]) ).

fof(f229,plain,
    ( ~ pd0_18
    | ( op(e3,e3) != e0
      & op(e3,e3) != e1
      & op(e3,e3) != e2
      & op(e3,e3) != e3
      & op(e3,e3) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f59]) ).

fof(f233,plain,
    ( ~ pd0_18
    | op(e3,e3) != e3 ),
    inference(cnf_transformation,[status(esa)],[f229]) ).

fof(f235,plain,
    ( ~ pd0_19
    | ( op(e3,e4) != e0
      & op(e3,e4) != e1
      & op(e3,e4) != e2
      & op(e3,e4) != e3
      & op(e3,e4) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f60]) ).

fof(f237,plain,
    ( ~ pd0_19
    | op(e3,e4) != e1 ),
    inference(cnf_transformation,[status(esa)],[f235]) ).

fof(f241,plain,
    ( ~ pd0_20
    | ( op(e4,e0) != e0
      & op(e4,e0) != e1
      & op(e4,e0) != e2
      & op(e4,e0) != e3
      & op(e4,e0) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f61]) ).

fof(f245,plain,
    ( ~ pd0_20
    | op(e4,e0) != e3 ),
    inference(cnf_transformation,[status(esa)],[f241]) ).

fof(f247,plain,
    ( ~ pd0_21
    | ( op(e4,e1) != e0
      & op(e4,e1) != e1
      & op(e4,e1) != e2
      & op(e4,e1) != e3
      & op(e4,e1) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f62]) ).

fof(f250,plain,
    ( ~ pd0_21
    | op(e4,e1) != e2 ),
    inference(cnf_transformation,[status(esa)],[f247]) ).

fof(f253,plain,
    ( ~ pd0_22
    | ( op(e4,e2) != e0
      & op(e4,e2) != e1
      & op(e4,e2) != e2
      & op(e4,e2) != e3
      & op(e4,e2) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f63]) ).

fof(f255,plain,
    ( ~ pd0_22
    | op(e4,e2) != e1 ),
    inference(cnf_transformation,[status(esa)],[f253]) ).

fof(f259,plain,
    ( ~ pd0_23
    | ( op(e4,e3) != e0
      & op(e4,e3) != e1
      & op(e4,e3) != e2
      & op(e4,e3) != e3
      & op(e4,e3) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f64]) ).

fof(f260,plain,
    ( ~ pd0_23
    | op(e4,e3) != e0 ),
    inference(cnf_transformation,[status(esa)],[f259]) ).

fof(f265,plain,
    ( ~ pd0_24
    | ( op(e4,e4) != e0
      & op(e4,e4) != e1
      & op(e4,e4) != e2
      & op(e4,e4) != e3
      & op(e4,e4) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f65]) ).

fof(f270,plain,
    ( ~ pd0_24
    | op(e4,e4) != e4 ),
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f271,plain,
    ( ~ pd0_25
    | ( op(e0,e0) != e0
      & op(e0,e1) != e0
      & op(e0,e2) != e0
      & op(e0,e3) != e0
      & op(e0,e4) != e0 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f66]) ).

fof(f272,plain,
    ( ~ pd0_25
    | op(e0,e0) != e0 ),
    inference(cnf_transformation,[status(esa)],[f271]) ).

fof(f277,plain,
    ( ~ pd0_26
    | ( op(e0,e0) != e0
      & op(e1,e0) != e0
      & op(e2,e0) != e0
      & op(e3,e0) != e0
      & op(e4,e0) != e0 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f67]) ).

fof(f278,plain,
    ( ~ pd0_26
    | op(e0,e0) != e0 ),
    inference(cnf_transformation,[status(esa)],[f277]) ).

fof(f283,plain,
    ( ~ pd0_27
    | ( op(e0,e0) != e1
      & op(e0,e1) != e1
      & op(e0,e2) != e1
      & op(e0,e3) != e1
      & op(e0,e4) != e1 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f68]) ).

fof(f287,plain,
    ( ~ pd0_27
    | op(e0,e3) != e1 ),
    inference(cnf_transformation,[status(esa)],[f283]) ).

fof(f289,plain,
    ( ~ pd0_28
    | ( op(e0,e0) != e1
      & op(e1,e0) != e1
      & op(e2,e0) != e1
      & op(e3,e0) != e1
      & op(e4,e0) != e1 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f69]) ).

fof(f292,plain,
    ( ~ pd0_28
    | op(e2,e0) != e1 ),
    inference(cnf_transformation,[status(esa)],[f289]) ).

fof(f295,plain,
    ( ~ pd0_29
    | ( op(e0,e0) != e2
      & op(e0,e1) != e2
      & op(e0,e2) != e2
      & op(e0,e3) != e2
      & op(e0,e4) != e2 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f70]) ).

fof(f300,plain,
    ( ~ pd0_29
    | op(e0,e4) != e2 ),
    inference(cnf_transformation,[status(esa)],[f295]) ).

fof(f301,plain,
    ( ~ pd0_30
    | ( op(e0,e0) != e2
      & op(e1,e0) != e2
      & op(e2,e0) != e2
      & op(e3,e0) != e2
      & op(e4,e0) != e2 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f71]) ).

fof(f305,plain,
    ( ~ pd0_30
    | op(e3,e0) != e2 ),
    inference(cnf_transformation,[status(esa)],[f301]) ).

fof(f307,plain,
    ( ~ pd0_31
    | ( op(e0,e0) != e3
      & op(e0,e1) != e3
      & op(e0,e2) != e3
      & op(e0,e3) != e3
      & op(e0,e4) != e3 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f72]) ).

fof(f309,plain,
    ( ~ pd0_31
    | op(e0,e1) != e3 ),
    inference(cnf_transformation,[status(esa)],[f307]) ).

fof(f313,plain,
    ( ~ pd0_32
    | ( op(e0,e0) != e3
      & op(e1,e0) != e3
      & op(e2,e0) != e3
      & op(e3,e0) != e3
      & op(e4,e0) != e3 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f73]) ).

fof(f318,plain,
    ( ~ pd0_32
    | op(e4,e0) != e3 ),
    inference(cnf_transformation,[status(esa)],[f313]) ).

fof(f319,plain,
    ( ~ pd0_33
    | ( op(e0,e0) != e4
      & op(e0,e1) != e4
      & op(e0,e2) != e4
      & op(e0,e3) != e4
      & op(e0,e4) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f74]) ).

fof(f322,plain,
    ( ~ pd0_33
    | op(e0,e2) != e4 ),
    inference(cnf_transformation,[status(esa)],[f319]) ).

fof(f325,plain,
    ( ~ pd0_34
    | ( op(e0,e0) != e4
      & op(e1,e0) != e4
      & op(e2,e0) != e4
      & op(e3,e0) != e4
      & op(e4,e0) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f75]) ).

fof(f327,plain,
    ( ~ pd0_34
    | op(e1,e0) != e4 ),
    inference(cnf_transformation,[status(esa)],[f325]) ).

fof(f331,plain,
    ( ~ pd0_35
    | ( op(e1,e0) != e0
      & op(e1,e1) != e0
      & op(e1,e2) != e0
      & op(e1,e3) != e0
      & op(e1,e4) != e0 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f76]) ).

fof(f336,plain,
    ( ~ pd0_35
    | op(e1,e4) != e0 ),
    inference(cnf_transformation,[status(esa)],[f331]) ).

fof(f337,plain,
    ( ~ pd0_36
    | ( op(e0,e1) != e0
      & op(e1,e1) != e0
      & op(e2,e1) != e0
      & op(e3,e1) != e0
      & op(e4,e1) != e0 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f77]) ).

fof(f340,plain,
    ( ~ pd0_36
    | op(e2,e1) != e0 ),
    inference(cnf_transformation,[status(esa)],[f337]) ).

fof(f343,plain,
    ( ~ pd0_37
    | ( op(e1,e0) != e1
      & op(e1,e1) != e1
      & op(e1,e2) != e1
      & op(e1,e3) != e1
      & op(e1,e4) != e1 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f78]) ).

fof(f345,plain,
    ( ~ pd0_37
    | op(e1,e1) != e1 ),
    inference(cnf_transformation,[status(esa)],[f343]) ).

fof(f349,plain,
    ( ~ pd0_38
    | ( op(e0,e1) != e1
      & op(e1,e1) != e1
      & op(e2,e1) != e1
      & op(e3,e1) != e1
      & op(e4,e1) != e1 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f79]) ).

fof(f351,plain,
    ( ~ pd0_38
    | op(e1,e1) != e1 ),
    inference(cnf_transformation,[status(esa)],[f349]) ).

fof(f355,plain,
    ( ~ pd0_39
    | ( op(e1,e0) != e2
      & op(e1,e1) != e2
      & op(e1,e2) != e2
      & op(e1,e3) != e2
      & op(e1,e4) != e2 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f80]) ).

fof(f359,plain,
    ( ~ pd0_39
    | op(e1,e3) != e2 ),
    inference(cnf_transformation,[status(esa)],[f355]) ).

fof(f361,plain,
    ( ~ pd0_40
    | ( op(e0,e1) != e2
      & op(e1,e1) != e2
      & op(e2,e1) != e2
      & op(e3,e1) != e2
      & op(e4,e1) != e2 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f81]) ).

fof(f366,plain,
    ( ~ pd0_40
    | op(e4,e1) != e2 ),
    inference(cnf_transformation,[status(esa)],[f361]) ).

fof(f367,plain,
    ( ~ pd0_41
    | ( op(e1,e0) != e3
      & op(e1,e1) != e3
      & op(e1,e2) != e3
      & op(e1,e3) != e3
      & op(e1,e4) != e3 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f82]) ).

fof(f370,plain,
    ( ~ pd0_41
    | op(e1,e2) != e3 ),
    inference(cnf_transformation,[status(esa)],[f367]) ).

fof(f373,plain,
    ( ~ pd0_42
    | ( op(e0,e1) != e3
      & op(e1,e1) != e3
      & op(e2,e1) != e3
      & op(e3,e1) != e3
      & op(e4,e1) != e3 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f83]) ).

fof(f374,plain,
    ( ~ pd0_42
    | op(e0,e1) != e3 ),
    inference(cnf_transformation,[status(esa)],[f373]) ).

fof(f379,plain,
    ( ~ pd0_43
    | ( op(e1,e0) != e4
      & op(e1,e1) != e4
      & op(e1,e2) != e4
      & op(e1,e3) != e4
      & op(e1,e4) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f84]) ).

fof(f380,plain,
    ( ~ pd0_43
    | op(e1,e0) != e4 ),
    inference(cnf_transformation,[status(esa)],[f379]) ).

fof(f385,plain,
    ( ~ pd0_44
    | ( op(e0,e1) != e4
      & op(e1,e1) != e4
      & op(e2,e1) != e4
      & op(e3,e1) != e4
      & op(e4,e1) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f85]) ).

fof(f389,plain,
    ( ~ pd0_44
    | op(e3,e1) != e4 ),
    inference(cnf_transformation,[status(esa)],[f385]) ).

fof(f391,plain,
    ( ~ pd0_45
    | ( op(e2,e0) != e0
      & op(e2,e1) != e0
      & op(e2,e2) != e0
      & op(e2,e3) != e0
      & op(e2,e4) != e0 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f86]) ).

fof(f393,plain,
    ( ~ pd0_45
    | op(e2,e1) != e0 ),
    inference(cnf_transformation,[status(esa)],[f391]) ).

fof(f397,plain,
    ( ~ pd0_46
    | ( op(e0,e2) != e0
      & op(e1,e2) != e0
      & op(e2,e2) != e0
      & op(e3,e2) != e0
      & op(e4,e2) != e0 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f87]) ).

fof(f401,plain,
    ( ~ pd0_46
    | op(e3,e2) != e0 ),
    inference(cnf_transformation,[status(esa)],[f397]) ).

fof(f403,plain,
    ( ~ pd0_47
    | ( op(e2,e0) != e1
      & op(e2,e1) != e1
      & op(e2,e2) != e1
      & op(e2,e3) != e1
      & op(e2,e4) != e1 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f88]) ).

fof(f404,plain,
    ( ~ pd0_47
    | op(e2,e0) != e1 ),
    inference(cnf_transformation,[status(esa)],[f403]) ).

fof(f409,plain,
    ( ~ pd0_48
    | ( op(e0,e2) != e1
      & op(e1,e2) != e1
      & op(e2,e2) != e1
      & op(e3,e2) != e1
      & op(e4,e2) != e1 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f89]) ).

fof(f414,plain,
    ( ~ pd0_48
    | op(e4,e2) != e1 ),
    inference(cnf_transformation,[status(esa)],[f409]) ).

fof(f415,plain,
    ( ~ pd0_49
    | ( op(e2,e0) != e2
      & op(e2,e1) != e2
      & op(e2,e2) != e2
      & op(e2,e3) != e2
      & op(e2,e4) != e2 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f90]) ).

fof(f418,plain,
    ( ~ pd0_49
    | op(e2,e2) != e2 ),
    inference(cnf_transformation,[status(esa)],[f415]) ).

fof(f421,plain,
    ( ~ pd0_50
    | ( op(e0,e2) != e2
      & op(e1,e2) != e2
      & op(e2,e2) != e2
      & op(e3,e2) != e2
      & op(e4,e2) != e2 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f91]) ).

fof(f424,plain,
    ( ~ pd0_50
    | op(e2,e2) != e2 ),
    inference(cnf_transformation,[status(esa)],[f421]) ).

fof(f427,plain,
    ( ~ pd0_51
    | ( op(e2,e0) != e3
      & op(e2,e1) != e3
      & op(e2,e2) != e3
      & op(e2,e3) != e3
      & op(e2,e4) != e3 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f92]) ).

fof(f432,plain,
    ( ~ pd0_51
    | op(e2,e4) != e3 ),
    inference(cnf_transformation,[status(esa)],[f427]) ).

fof(f433,plain,
    ( ~ pd0_52
    | ( op(e0,e2) != e3
      & op(e1,e2) != e3
      & op(e2,e2) != e3
      & op(e3,e2) != e3
      & op(e4,e2) != e3 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f93]) ).

fof(f435,plain,
    ( ~ pd0_52
    | op(e1,e2) != e3 ),
    inference(cnf_transformation,[status(esa)],[f433]) ).

fof(f439,plain,
    ( ~ pd0_53
    | ( op(e2,e0) != e4
      & op(e2,e1) != e4
      & op(e2,e2) != e4
      & op(e2,e3) != e4
      & op(e2,e4) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f94]) ).

fof(f443,plain,
    ( ~ pd0_53
    | op(e2,e3) != e4 ),
    inference(cnf_transformation,[status(esa)],[f439]) ).

fof(f445,plain,
    ( ~ pd0_54
    | ( op(e0,e2) != e4
      & op(e1,e2) != e4
      & op(e2,e2) != e4
      & op(e3,e2) != e4
      & op(e4,e2) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f95]) ).

fof(f446,plain,
    ( ~ pd0_54
    | op(e0,e2) != e4 ),
    inference(cnf_transformation,[status(esa)],[f445]) ).

fof(f451,plain,
    ( ~ pd0_55
    | ( op(e3,e0) != e0
      & op(e3,e1) != e0
      & op(e3,e2) != e0
      & op(e3,e3) != e0
      & op(e3,e4) != e0 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f96]) ).

fof(f454,plain,
    ( ~ pd0_55
    | op(e3,e2) != e0 ),
    inference(cnf_transformation,[status(esa)],[f451]) ).

fof(f457,plain,
    ( ~ pd0_56
    | ( op(e0,e3) != e0
      & op(e1,e3) != e0
      & op(e2,e3) != e0
      & op(e3,e3) != e0
      & op(e4,e3) != e0 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f97]) ).

fof(f462,plain,
    ( ~ pd0_56
    | op(e4,e3) != e0 ),
    inference(cnf_transformation,[status(esa)],[f457]) ).

fof(f463,plain,
    ( ~ pd0_57
    | ( op(e3,e0) != e1
      & op(e3,e1) != e1
      & op(e3,e2) != e1
      & op(e3,e3) != e1
      & op(e3,e4) != e1 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f98]) ).

fof(f468,plain,
    ( ~ pd0_57
    | op(e3,e4) != e1 ),
    inference(cnf_transformation,[status(esa)],[f463]) ).

fof(f469,plain,
    ( ~ pd0_58
    | ( op(e0,e3) != e1
      & op(e1,e3) != e1
      & op(e2,e3) != e1
      & op(e3,e3) != e1
      & op(e4,e3) != e1 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f99]) ).

fof(f470,plain,
    ( ~ pd0_58
    | op(e0,e3) != e1 ),
    inference(cnf_transformation,[status(esa)],[f469]) ).

fof(f475,plain,
    ( ~ pd0_59
    | ( op(e3,e0) != e2
      & op(e3,e1) != e2
      & op(e3,e2) != e2
      & op(e3,e3) != e2
      & op(e3,e4) != e2 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f100]) ).

fof(f476,plain,
    ( ~ pd0_59
    | op(e3,e0) != e2 ),
    inference(cnf_transformation,[status(esa)],[f475]) ).

fof(f481,plain,
    ( ~ pd0_60
    | ( op(e0,e3) != e2
      & op(e1,e3) != e2
      & op(e2,e3) != e2
      & op(e3,e3) != e2
      & op(e4,e3) != e2 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f101]) ).

fof(f483,plain,
    ( ~ pd0_60
    | op(e1,e3) != e2 ),
    inference(cnf_transformation,[status(esa)],[f481]) ).

fof(f487,plain,
    ( ~ pd0_61
    | ( op(e3,e0) != e3
      & op(e3,e1) != e3
      & op(e3,e2) != e3
      & op(e3,e3) != e3
      & op(e3,e4) != e3 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f102]) ).

fof(f491,plain,
    ( ~ pd0_61
    | op(e3,e3) != e3 ),
    inference(cnf_transformation,[status(esa)],[f487]) ).

fof(f493,plain,
    ( ~ pd0_62
    | ( op(e0,e3) != e3
      & op(e1,e3) != e3
      & op(e2,e3) != e3
      & op(e3,e3) != e3
      & op(e4,e3) != e3 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f103]) ).

fof(f497,plain,
    ( ~ pd0_62
    | op(e3,e3) != e3 ),
    inference(cnf_transformation,[status(esa)],[f493]) ).

fof(f499,plain,
    ( ~ pd0_63
    | ( op(e3,e0) != e4
      & op(e3,e1) != e4
      & op(e3,e2) != e4
      & op(e3,e3) != e4
      & op(e3,e4) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f104]) ).

fof(f501,plain,
    ( ~ pd0_63
    | op(e3,e1) != e4 ),
    inference(cnf_transformation,[status(esa)],[f499]) ).

fof(f505,plain,
    ( ~ pd0_64
    | ( op(e0,e3) != e4
      & op(e1,e3) != e4
      & op(e2,e3) != e4
      & op(e3,e3) != e4
      & op(e4,e3) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f105]) ).

fof(f508,plain,
    ( ~ pd0_64
    | op(e2,e3) != e4 ),
    inference(cnf_transformation,[status(esa)],[f505]) ).

fof(f511,plain,
    ( ~ pd0_65
    | ( op(e4,e0) != e0
      & op(e4,e1) != e0
      & op(e4,e2) != e0
      & op(e4,e3) != e0
      & op(e4,e4) != e0 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f106]) ).

fof(f515,plain,
    ( ~ pd0_65
    | op(e4,e3) != e0 ),
    inference(cnf_transformation,[status(esa)],[f511]) ).

fof(f517,plain,
    ( ~ pd0_66
    | ( op(e0,e4) != e0
      & op(e1,e4) != e0
      & op(e2,e4) != e0
      & op(e3,e4) != e0
      & op(e4,e4) != e0 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f107]) ).

fof(f519,plain,
    ( ~ pd0_66
    | op(e1,e4) != e0 ),
    inference(cnf_transformation,[status(esa)],[f517]) ).

fof(f523,plain,
    ( ~ pd0_67
    | ( op(e4,e0) != e1
      & op(e4,e1) != e1
      & op(e4,e2) != e1
      & op(e4,e3) != e1
      & op(e4,e4) != e1 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f108]) ).

fof(f526,plain,
    ( ~ pd0_67
    | op(e4,e2) != e1 ),
    inference(cnf_transformation,[status(esa)],[f523]) ).

fof(f529,plain,
    ( ~ pd0_68
    | ( op(e0,e4) != e1
      & op(e1,e4) != e1
      & op(e2,e4) != e1
      & op(e3,e4) != e1
      & op(e4,e4) != e1 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f109]) ).

fof(f533,plain,
    ( ~ pd0_68
    | op(e3,e4) != e1 ),
    inference(cnf_transformation,[status(esa)],[f529]) ).

fof(f535,plain,
    ( ~ pd0_69
    | ( op(e4,e0) != e2
      & op(e4,e1) != e2
      & op(e4,e2) != e2
      & op(e4,e3) != e2
      & op(e4,e4) != e2 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f110]) ).

fof(f537,plain,
    ( ~ pd0_69
    | op(e4,e1) != e2 ),
    inference(cnf_transformation,[status(esa)],[f535]) ).

fof(f541,plain,
    ( ~ pd0_70
    | ( op(e0,e4) != e2
      & op(e1,e4) != e2
      & op(e2,e4) != e2
      & op(e3,e4) != e2
      & op(e4,e4) != e2 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f111]) ).

fof(f542,plain,
    ( ~ pd0_70
    | op(e0,e4) != e2 ),
    inference(cnf_transformation,[status(esa)],[f541]) ).

fof(f547,plain,
    ( ~ pd0_71
    | ( op(e4,e0) != e3
      & op(e4,e1) != e3
      & op(e4,e2) != e3
      & op(e4,e3) != e3
      & op(e4,e4) != e3 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f112]) ).

fof(f548,plain,
    ( ~ pd0_71
    | op(e4,e0) != e3 ),
    inference(cnf_transformation,[status(esa)],[f547]) ).

fof(f553,plain,
    ( ~ pd0_72
    | ( op(e0,e4) != e3
      & op(e1,e4) != e3
      & op(e2,e4) != e3
      & op(e3,e4) != e3
      & op(e4,e4) != e3 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f113]) ).

fof(f556,plain,
    ( ~ pd0_72
    | op(e2,e4) != e3 ),
    inference(cnf_transformation,[status(esa)],[f553]) ).

fof(f559,plain,
    ( ~ pd0_73
    | ( op(e4,e0) != e4
      & op(e4,e1) != e4
      & op(e4,e2) != e4
      & op(e4,e3) != e4
      & op(e4,e4) != e4 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f114]) ).

fof(f564,plain,
    ( ~ pd0_73
    | op(e4,e4) != e4 ),
    inference(cnf_transformation,[status(esa)],[f559]) ).

fof(f565,plain,
    ( spl0_0
  <=> op(e0,op(e0,e0)) = e0 ),
    introduced(split_symbol_definition) ).

fof(f567,plain,
    ( op(e0,op(e0,e0)) != e0
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f565]) ).

fof(f568,plain,
    ( spl0_1
  <=> op(e0,op(e0,e1)) = e1 ),
    introduced(split_symbol_definition) ).

fof(f570,plain,
    ( op(e0,op(e0,e1)) != e1
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f568]) ).

fof(f571,plain,
    ( spl0_2
  <=> op(e0,op(e0,e2)) = e2 ),
    introduced(split_symbol_definition) ).

fof(f573,plain,
    ( op(e0,op(e0,e2)) != e2
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f571]) ).

fof(f574,plain,
    ( spl0_3
  <=> op(e0,op(e0,e3)) = e3 ),
    introduced(split_symbol_definition) ).

fof(f576,plain,
    ( op(e0,op(e0,e3)) != e3
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f574]) ).

fof(f577,plain,
    ( spl0_4
  <=> op(e0,op(e0,e4)) = e4 ),
    introduced(split_symbol_definition) ).

fof(f579,plain,
    ( op(e0,op(e0,e4)) != e4
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f577]) ).

fof(f580,plain,
    ( spl0_5
  <=> op(e1,op(e1,e0)) = e0 ),
    introduced(split_symbol_definition) ).

fof(f582,plain,
    ( op(e1,op(e1,e0)) != e0
    | spl0_5 ),
    inference(component_clause,[status(thm)],[f580]) ).

fof(f583,plain,
    ( spl0_6
  <=> op(e1,op(e1,e1)) = e1 ),
    introduced(split_symbol_definition) ).

fof(f585,plain,
    ( op(e1,op(e1,e1)) != e1
    | spl0_6 ),
    inference(component_clause,[status(thm)],[f583]) ).

fof(f586,plain,
    ( spl0_7
  <=> op(e1,op(e1,e2)) = e2 ),
    introduced(split_symbol_definition) ).

fof(f588,plain,
    ( op(e1,op(e1,e2)) != e2
    | spl0_7 ),
    inference(component_clause,[status(thm)],[f586]) ).

fof(f589,plain,
    ( spl0_8
  <=> op(e1,op(e1,e3)) = e3 ),
    introduced(split_symbol_definition) ).

fof(f591,plain,
    ( op(e1,op(e1,e3)) != e3
    | spl0_8 ),
    inference(component_clause,[status(thm)],[f589]) ).

fof(f592,plain,
    ( spl0_9
  <=> op(e1,op(e1,e4)) = e4 ),
    introduced(split_symbol_definition) ).

fof(f594,plain,
    ( op(e1,op(e1,e4)) != e4
    | spl0_9 ),
    inference(component_clause,[status(thm)],[f592]) ).

fof(f595,plain,
    ( spl0_10
  <=> op(e2,op(e2,e0)) = e0 ),
    introduced(split_symbol_definition) ).

fof(f597,plain,
    ( op(e2,op(e2,e0)) != e0
    | spl0_10 ),
    inference(component_clause,[status(thm)],[f595]) ).

fof(f598,plain,
    ( spl0_11
  <=> op(e2,op(e2,e1)) = e1 ),
    introduced(split_symbol_definition) ).

fof(f600,plain,
    ( op(e2,op(e2,e1)) != e1
    | spl0_11 ),
    inference(component_clause,[status(thm)],[f598]) ).

fof(f601,plain,
    ( spl0_12
  <=> op(e2,op(e2,e2)) = e2 ),
    introduced(split_symbol_definition) ).

fof(f603,plain,
    ( op(e2,op(e2,e2)) != e2
    | spl0_12 ),
    inference(component_clause,[status(thm)],[f601]) ).

fof(f604,plain,
    ( spl0_13
  <=> op(e2,op(e2,e3)) = e3 ),
    introduced(split_symbol_definition) ).

fof(f606,plain,
    ( op(e2,op(e2,e3)) != e3
    | spl0_13 ),
    inference(component_clause,[status(thm)],[f604]) ).

fof(f607,plain,
    ( spl0_14
  <=> op(e2,op(e2,e4)) = e4 ),
    introduced(split_symbol_definition) ).

fof(f609,plain,
    ( op(e2,op(e2,e4)) != e4
    | spl0_14 ),
    inference(component_clause,[status(thm)],[f607]) ).

fof(f610,plain,
    ( spl0_15
  <=> op(e3,op(e3,e0)) = e0 ),
    introduced(split_symbol_definition) ).

fof(f612,plain,
    ( op(e3,op(e3,e0)) != e0
    | spl0_15 ),
    inference(component_clause,[status(thm)],[f610]) ).

fof(f613,plain,
    ( spl0_16
  <=> op(e3,op(e3,e1)) = e1 ),
    introduced(split_symbol_definition) ).

fof(f615,plain,
    ( op(e3,op(e3,e1)) != e1
    | spl0_16 ),
    inference(component_clause,[status(thm)],[f613]) ).

fof(f616,plain,
    ( spl0_17
  <=> op(e3,op(e3,e2)) = e2 ),
    introduced(split_symbol_definition) ).

fof(f618,plain,
    ( op(e3,op(e3,e2)) != e2
    | spl0_17 ),
    inference(component_clause,[status(thm)],[f616]) ).

fof(f619,plain,
    ( spl0_18
  <=> op(e3,op(e3,e3)) = e3 ),
    introduced(split_symbol_definition) ).

fof(f621,plain,
    ( op(e3,op(e3,e3)) != e3
    | spl0_18 ),
    inference(component_clause,[status(thm)],[f619]) ).

fof(f622,plain,
    ( spl0_19
  <=> op(e3,op(e3,e4)) = e4 ),
    introduced(split_symbol_definition) ).

fof(f624,plain,
    ( op(e3,op(e3,e4)) != e4
    | spl0_19 ),
    inference(component_clause,[status(thm)],[f622]) ).

fof(f625,plain,
    ( spl0_20
  <=> op(e4,op(e4,e0)) = e0 ),
    introduced(split_symbol_definition) ).

fof(f627,plain,
    ( op(e4,op(e4,e0)) != e0
    | spl0_20 ),
    inference(component_clause,[status(thm)],[f625]) ).

fof(f628,plain,
    ( spl0_21
  <=> op(e4,op(e4,e1)) = e1 ),
    introduced(split_symbol_definition) ).

fof(f630,plain,
    ( op(e4,op(e4,e1)) != e1
    | spl0_21 ),
    inference(component_clause,[status(thm)],[f628]) ).

fof(f631,plain,
    ( spl0_22
  <=> op(e4,op(e4,e2)) = e2 ),
    introduced(split_symbol_definition) ).

fof(f633,plain,
    ( op(e4,op(e4,e2)) != e2
    | spl0_22 ),
    inference(component_clause,[status(thm)],[f631]) ).

fof(f634,plain,
    ( spl0_23
  <=> op(e4,op(e4,e3)) = e3 ),
    introduced(split_symbol_definition) ).

fof(f636,plain,
    ( op(e4,op(e4,e3)) != e3
    | spl0_23 ),
    inference(component_clause,[status(thm)],[f634]) ).

fof(f637,plain,
    ( spl0_24
  <=> op(e4,op(e4,e4)) = e4 ),
    introduced(split_symbol_definition) ).

fof(f639,plain,
    ( op(e4,op(e4,e4)) != e4
    | spl0_24 ),
    inference(component_clause,[status(thm)],[f637]) ).

fof(f640,plain,
    ( spl0_25
  <=> pd0_0 ),
    introduced(split_symbol_definition) ).

fof(f643,plain,
    ( spl0_26
  <=> pd0_1 ),
    introduced(split_symbol_definition) ).

fof(f646,plain,
    ( spl0_27
  <=> pd0_2 ),
    introduced(split_symbol_definition) ).

fof(f649,plain,
    ( spl0_28
  <=> pd0_3 ),
    introduced(split_symbol_definition) ).

fof(f652,plain,
    ( spl0_29
  <=> pd0_4 ),
    introduced(split_symbol_definition) ).

fof(f655,plain,
    ( spl0_30
  <=> pd0_5 ),
    introduced(split_symbol_definition) ).

fof(f658,plain,
    ( spl0_31
  <=> pd0_6 ),
    introduced(split_symbol_definition) ).

fof(f661,plain,
    ( spl0_32
  <=> pd0_7 ),
    introduced(split_symbol_definition) ).

fof(f664,plain,
    ( spl0_33
  <=> pd0_8 ),
    introduced(split_symbol_definition) ).

fof(f667,plain,
    ( spl0_34
  <=> pd0_9 ),
    introduced(split_symbol_definition) ).

fof(f670,plain,
    ( spl0_35
  <=> pd0_10 ),
    introduced(split_symbol_definition) ).

fof(f673,plain,
    ( spl0_36
  <=> pd0_11 ),
    introduced(split_symbol_definition) ).

fof(f676,plain,
    ( spl0_37
  <=> pd0_12 ),
    introduced(split_symbol_definition) ).

fof(f679,plain,
    ( spl0_38
  <=> pd0_13 ),
    introduced(split_symbol_definition) ).

fof(f682,plain,
    ( spl0_39
  <=> pd0_14 ),
    introduced(split_symbol_definition) ).

fof(f685,plain,
    ( spl0_40
  <=> pd0_15 ),
    introduced(split_symbol_definition) ).

fof(f688,plain,
    ( spl0_41
  <=> pd0_16 ),
    introduced(split_symbol_definition) ).

fof(f691,plain,
    ( spl0_42
  <=> pd0_17 ),
    introduced(split_symbol_definition) ).

fof(f694,plain,
    ( spl0_43
  <=> pd0_18 ),
    introduced(split_symbol_definition) ).

fof(f697,plain,
    ( spl0_44
  <=> pd0_19 ),
    introduced(split_symbol_definition) ).

fof(f700,plain,
    ( spl0_45
  <=> pd0_20 ),
    introduced(split_symbol_definition) ).

fof(f703,plain,
    ( spl0_46
  <=> pd0_21 ),
    introduced(split_symbol_definition) ).

fof(f706,plain,
    ( spl0_47
  <=> pd0_22 ),
    introduced(split_symbol_definition) ).

fof(f709,plain,
    ( spl0_48
  <=> pd0_23 ),
    introduced(split_symbol_definition) ).

fof(f712,plain,
    ( spl0_49
  <=> pd0_24 ),
    introduced(split_symbol_definition) ).

fof(f715,plain,
    ( spl0_50
  <=> pd0_25 ),
    introduced(split_symbol_definition) ).

fof(f718,plain,
    ( spl0_51
  <=> pd0_26 ),
    introduced(split_symbol_definition) ).

fof(f721,plain,
    ( spl0_52
  <=> pd0_27 ),
    introduced(split_symbol_definition) ).

fof(f724,plain,
    ( spl0_53
  <=> pd0_28 ),
    introduced(split_symbol_definition) ).

fof(f727,plain,
    ( spl0_54
  <=> pd0_29 ),
    introduced(split_symbol_definition) ).

fof(f730,plain,
    ( spl0_55
  <=> pd0_30 ),
    introduced(split_symbol_definition) ).

fof(f733,plain,
    ( spl0_56
  <=> pd0_31 ),
    introduced(split_symbol_definition) ).

fof(f736,plain,
    ( spl0_57
  <=> pd0_32 ),
    introduced(split_symbol_definition) ).

fof(f739,plain,
    ( spl0_58
  <=> pd0_33 ),
    introduced(split_symbol_definition) ).

fof(f742,plain,
    ( spl0_59
  <=> pd0_34 ),
    introduced(split_symbol_definition) ).

fof(f745,plain,
    ( spl0_60
  <=> pd0_35 ),
    introduced(split_symbol_definition) ).

fof(f748,plain,
    ( spl0_61
  <=> pd0_36 ),
    introduced(split_symbol_definition) ).

fof(f751,plain,
    ( spl0_62
  <=> pd0_37 ),
    introduced(split_symbol_definition) ).

fof(f754,plain,
    ( spl0_63
  <=> pd0_38 ),
    introduced(split_symbol_definition) ).

fof(f757,plain,
    ( spl0_64
  <=> pd0_39 ),
    introduced(split_symbol_definition) ).

fof(f760,plain,
    ( spl0_65
  <=> pd0_40 ),
    introduced(split_symbol_definition) ).

fof(f763,plain,
    ( spl0_66
  <=> pd0_41 ),
    introduced(split_symbol_definition) ).

fof(f766,plain,
    ( spl0_67
  <=> pd0_42 ),
    introduced(split_symbol_definition) ).

fof(f769,plain,
    ( spl0_68
  <=> pd0_43 ),
    introduced(split_symbol_definition) ).

fof(f772,plain,
    ( spl0_69
  <=> pd0_44 ),
    introduced(split_symbol_definition) ).

fof(f775,plain,
    ( spl0_70
  <=> pd0_45 ),
    introduced(split_symbol_definition) ).

fof(f778,plain,
    ( spl0_71
  <=> pd0_46 ),
    introduced(split_symbol_definition) ).

fof(f781,plain,
    ( spl0_72
  <=> pd0_47 ),
    introduced(split_symbol_definition) ).

fof(f784,plain,
    ( spl0_73
  <=> pd0_48 ),
    introduced(split_symbol_definition) ).

fof(f787,plain,
    ( spl0_74
  <=> pd0_49 ),
    introduced(split_symbol_definition) ).

fof(f790,plain,
    ( spl0_75
  <=> pd0_50 ),
    introduced(split_symbol_definition) ).

fof(f793,plain,
    ( spl0_76
  <=> pd0_51 ),
    introduced(split_symbol_definition) ).

fof(f796,plain,
    ( spl0_77
  <=> pd0_52 ),
    introduced(split_symbol_definition) ).

fof(f799,plain,
    ( spl0_78
  <=> pd0_53 ),
    introduced(split_symbol_definition) ).

fof(f802,plain,
    ( spl0_79
  <=> pd0_54 ),
    introduced(split_symbol_definition) ).

fof(f805,plain,
    ( spl0_80
  <=> pd0_55 ),
    introduced(split_symbol_definition) ).

fof(f808,plain,
    ( spl0_81
  <=> pd0_56 ),
    introduced(split_symbol_definition) ).

fof(f811,plain,
    ( spl0_82
  <=> pd0_57 ),
    introduced(split_symbol_definition) ).

fof(f814,plain,
    ( spl0_83
  <=> pd0_58 ),
    introduced(split_symbol_definition) ).

fof(f817,plain,
    ( spl0_84
  <=> pd0_59 ),
    introduced(split_symbol_definition) ).

fof(f820,plain,
    ( spl0_85
  <=> pd0_60 ),
    introduced(split_symbol_definition) ).

fof(f823,plain,
    ( spl0_86
  <=> pd0_61 ),
    introduced(split_symbol_definition) ).

fof(f826,plain,
    ( spl0_87
  <=> pd0_62 ),
    introduced(split_symbol_definition) ).

fof(f829,plain,
    ( spl0_88
  <=> pd0_63 ),
    introduced(split_symbol_definition) ).

fof(f832,plain,
    ( spl0_89
  <=> pd0_64 ),
    introduced(split_symbol_definition) ).

fof(f835,plain,
    ( spl0_90
  <=> pd0_65 ),
    introduced(split_symbol_definition) ).

fof(f838,plain,
    ( spl0_91
  <=> pd0_66 ),
    introduced(split_symbol_definition) ).

fof(f841,plain,
    ( spl0_92
  <=> pd0_67 ),
    introduced(split_symbol_definition) ).

fof(f844,plain,
    ( spl0_93
  <=> pd0_68 ),
    introduced(split_symbol_definition) ).

fof(f847,plain,
    ( spl0_94
  <=> pd0_69 ),
    introduced(split_symbol_definition) ).

fof(f850,plain,
    ( spl0_95
  <=> pd0_70 ),
    introduced(split_symbol_definition) ).

fof(f853,plain,
    ( spl0_96
  <=> pd0_71 ),
    introduced(split_symbol_definition) ).

fof(f856,plain,
    ( spl0_97
  <=> pd0_72 ),
    introduced(split_symbol_definition) ).

fof(f859,plain,
    ( spl0_98
  <=> pd0_73 ),
    introduced(split_symbol_definition) ).

fof(f865,plain,
    ( spl0_100
  <=> op(op(e0,e0),op(e0,e0)) = e0 ),
    introduced(split_symbol_definition) ).

fof(f867,plain,
    ( op(op(e0,e0),op(e0,e0)) != e0
    | spl0_100 ),
    inference(component_clause,[status(thm)],[f865]) ).

fof(f868,plain,
    ( spl0_101
  <=> op(op(e1,e0),op(e0,e1)) = e0 ),
    introduced(split_symbol_definition) ).

fof(f870,plain,
    ( op(op(e1,e0),op(e0,e1)) != e0
    | spl0_101 ),
    inference(component_clause,[status(thm)],[f868]) ).

fof(f871,plain,
    ( spl0_102
  <=> op(op(e2,e0),op(e0,e2)) = e0 ),
    introduced(split_symbol_definition) ).

fof(f873,plain,
    ( op(op(e2,e0),op(e0,e2)) != e0
    | spl0_102 ),
    inference(component_clause,[status(thm)],[f871]) ).

fof(f874,plain,
    ( spl0_103
  <=> op(op(e3,e0),op(e0,e3)) = e0 ),
    introduced(split_symbol_definition) ).

fof(f876,plain,
    ( op(op(e3,e0),op(e0,e3)) != e0
    | spl0_103 ),
    inference(component_clause,[status(thm)],[f874]) ).

fof(f877,plain,
    ( spl0_104
  <=> op(op(e4,e0),op(e0,e4)) = e0 ),
    introduced(split_symbol_definition) ).

fof(f879,plain,
    ( op(op(e4,e0),op(e0,e4)) != e0
    | spl0_104 ),
    inference(component_clause,[status(thm)],[f877]) ).

fof(f880,plain,
    ( spl0_105
  <=> op(op(e0,e1),op(e1,e0)) = e1 ),
    introduced(split_symbol_definition) ).

fof(f882,plain,
    ( op(op(e0,e1),op(e1,e0)) != e1
    | spl0_105 ),
    inference(component_clause,[status(thm)],[f880]) ).

fof(f883,plain,
    ( spl0_106
  <=> op(op(e1,e1),op(e1,e1)) = e1 ),
    introduced(split_symbol_definition) ).

fof(f885,plain,
    ( op(op(e1,e1),op(e1,e1)) != e1
    | spl0_106 ),
    inference(component_clause,[status(thm)],[f883]) ).

fof(f886,plain,
    ( spl0_107
  <=> op(op(e2,e1),op(e1,e2)) = e1 ),
    introduced(split_symbol_definition) ).

fof(f888,plain,
    ( op(op(e2,e1),op(e1,e2)) != e1
    | spl0_107 ),
    inference(component_clause,[status(thm)],[f886]) ).

fof(f889,plain,
    ( spl0_108
  <=> op(op(e3,e1),op(e1,e3)) = e1 ),
    introduced(split_symbol_definition) ).

fof(f891,plain,
    ( op(op(e3,e1),op(e1,e3)) != e1
    | spl0_108 ),
    inference(component_clause,[status(thm)],[f889]) ).

fof(f892,plain,
    ( spl0_109
  <=> op(op(e4,e1),op(e1,e4)) = e1 ),
    introduced(split_symbol_definition) ).

fof(f894,plain,
    ( op(op(e4,e1),op(e1,e4)) != e1
    | spl0_109 ),
    inference(component_clause,[status(thm)],[f892]) ).

fof(f895,plain,
    ( spl0_110
  <=> op(op(e0,e2),op(e2,e0)) = e2 ),
    introduced(split_symbol_definition) ).

fof(f897,plain,
    ( op(op(e0,e2),op(e2,e0)) != e2
    | spl0_110 ),
    inference(component_clause,[status(thm)],[f895]) ).

fof(f898,plain,
    ( spl0_111
  <=> op(op(e1,e2),op(e2,e1)) = e2 ),
    introduced(split_symbol_definition) ).

fof(f900,plain,
    ( op(op(e1,e2),op(e2,e1)) != e2
    | spl0_111 ),
    inference(component_clause,[status(thm)],[f898]) ).

fof(f901,plain,
    ( spl0_112
  <=> op(op(e2,e2),op(e2,e2)) = e2 ),
    introduced(split_symbol_definition) ).

fof(f903,plain,
    ( op(op(e2,e2),op(e2,e2)) != e2
    | spl0_112 ),
    inference(component_clause,[status(thm)],[f901]) ).

fof(f904,plain,
    ( spl0_113
  <=> op(op(e3,e2),op(e2,e3)) = e2 ),
    introduced(split_symbol_definition) ).

fof(f906,plain,
    ( op(op(e3,e2),op(e2,e3)) != e2
    | spl0_113 ),
    inference(component_clause,[status(thm)],[f904]) ).

fof(f907,plain,
    ( spl0_114
  <=> op(op(e4,e2),op(e2,e4)) = e2 ),
    introduced(split_symbol_definition) ).

fof(f909,plain,
    ( op(op(e4,e2),op(e2,e4)) != e2
    | spl0_114 ),
    inference(component_clause,[status(thm)],[f907]) ).

fof(f910,plain,
    ( spl0_115
  <=> op(op(e0,e3),op(e3,e0)) = e3 ),
    introduced(split_symbol_definition) ).

fof(f912,plain,
    ( op(op(e0,e3),op(e3,e0)) != e3
    | spl0_115 ),
    inference(component_clause,[status(thm)],[f910]) ).

fof(f913,plain,
    ( spl0_116
  <=> op(op(e1,e3),op(e3,e1)) = e3 ),
    introduced(split_symbol_definition) ).

fof(f915,plain,
    ( op(op(e1,e3),op(e3,e1)) != e3
    | spl0_116 ),
    inference(component_clause,[status(thm)],[f913]) ).

fof(f916,plain,
    ( spl0_117
  <=> op(op(e2,e3),op(e3,e2)) = e3 ),
    introduced(split_symbol_definition) ).

fof(f918,plain,
    ( op(op(e2,e3),op(e3,e2)) != e3
    | spl0_117 ),
    inference(component_clause,[status(thm)],[f916]) ).

fof(f919,plain,
    ( spl0_118
  <=> op(op(e3,e3),op(e3,e3)) = e3 ),
    introduced(split_symbol_definition) ).

fof(f921,plain,
    ( op(op(e3,e3),op(e3,e3)) != e3
    | spl0_118 ),
    inference(component_clause,[status(thm)],[f919]) ).

fof(f922,plain,
    ( spl0_119
  <=> op(op(e4,e3),op(e3,e4)) = e3 ),
    introduced(split_symbol_definition) ).

fof(f924,plain,
    ( op(op(e4,e3),op(e3,e4)) != e3
    | spl0_119 ),
    inference(component_clause,[status(thm)],[f922]) ).

fof(f925,plain,
    ( spl0_120
  <=> op(op(e0,e4),op(e4,e0)) = e4 ),
    introduced(split_symbol_definition) ).

fof(f927,plain,
    ( op(op(e0,e4),op(e4,e0)) != e4
    | spl0_120 ),
    inference(component_clause,[status(thm)],[f925]) ).

fof(f928,plain,
    ( spl0_121
  <=> op(op(e1,e4),op(e4,e1)) = e4 ),
    introduced(split_symbol_definition) ).

fof(f930,plain,
    ( op(op(e1,e4),op(e4,e1)) != e4
    | spl0_121 ),
    inference(component_clause,[status(thm)],[f928]) ).

fof(f931,plain,
    ( spl0_122
  <=> op(op(e2,e4),op(e4,e2)) = e4 ),
    introduced(split_symbol_definition) ).

fof(f933,plain,
    ( op(op(e2,e4),op(e4,e2)) != e4
    | spl0_122 ),
    inference(component_clause,[status(thm)],[f931]) ).

fof(f934,plain,
    ( spl0_123
  <=> op(op(e3,e4),op(e4,e3)) = e4 ),
    introduced(split_symbol_definition) ).

fof(f936,plain,
    ( op(op(e3,e4),op(e4,e3)) != e4
    | spl0_123 ),
    inference(component_clause,[status(thm)],[f934]) ).

fof(f937,plain,
    ( spl0_124
  <=> op(op(e4,e4),op(e4,e4)) = e4 ),
    introduced(split_symbol_definition) ).

fof(f939,plain,
    ( op(op(e4,e4),op(e4,e4)) != e4
    | spl0_124 ),
    inference(component_clause,[status(thm)],[f937]) ).

fof(f953,plain,
    ( spl0_128
  <=> op(e4,e4) = e4 ),
    introduced(split_symbol_definition) ).

fof(f955,plain,
    ( op(e4,e4) != e4
    | spl0_128 ),
    inference(component_clause,[status(thm)],[f953]) ).

fof(f956,plain,
    ( ~ spl0_0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_20
    | ~ spl0_21
    | ~ spl0_22
    | ~ spl0_23
    | ~ spl0_24
    | spl0_25
    | spl0_26
    | spl0_27
    | spl0_28
    | spl0_29
    | spl0_30
    | spl0_31
    | spl0_32
    | spl0_33
    | spl0_34
    | spl0_35
    | spl0_36
    | spl0_37
    | spl0_38
    | spl0_39
    | spl0_40
    | spl0_41
    | spl0_42
    | spl0_43
    | spl0_44
    | spl0_45
    | spl0_46
    | spl0_47
    | spl0_48
    | spl0_49
    | spl0_50
    | spl0_51
    | spl0_52
    | spl0_53
    | spl0_54
    | spl0_55
    | spl0_56
    | spl0_57
    | spl0_58
    | spl0_59
    | spl0_60
    | spl0_61
    | spl0_62
    | spl0_63
    | spl0_64
    | spl0_65
    | spl0_66
    | spl0_67
    | spl0_68
    | spl0_69
    | spl0_70
    | spl0_71
    | spl0_72
    | spl0_73
    | spl0_74
    | spl0_75
    | spl0_76
    | spl0_77
    | spl0_78
    | spl0_79
    | spl0_80
    | spl0_81
    | spl0_82
    | spl0_83
    | spl0_84
    | spl0_85
    | spl0_86
    | spl0_87
    | spl0_88
    | spl0_89
    | spl0_90
    | spl0_91
    | spl0_92
    | spl0_93
    | spl0_94
    | spl0_95
    | spl0_96
    | spl0_97
    | spl0_98
    | ~ spl0_128
    | ~ spl0_100
    | ~ spl0_101
    | ~ spl0_102
    | ~ spl0_103
    | ~ spl0_104
    | ~ spl0_105
    | ~ spl0_106
    | ~ spl0_107
    | ~ spl0_108
    | ~ spl0_109
    | ~ spl0_110
    | ~ spl0_111
    | ~ spl0_112
    | ~ spl0_113
    | ~ spl0_114
    | ~ spl0_115
    | ~ spl0_116
    | ~ spl0_117
    | ~ spl0_118
    | ~ spl0_119
    | ~ spl0_120
    | ~ spl0_121
    | ~ spl0_122
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(split_clause,[status(thm)],[f120,f565,f568,f571,f574,f577,f580,f583,f586,f589,f592,f595,f598,f601,f604,f607,f610,f613,f616,f619,f622,f625,f628,f631,f634,f637,f640,f643,f646,f649,f652,f655,f658,f661,f664,f667,f670,f673,f676,f679,f682,f685,f688,f691,f694,f697,f700,f703,f706,f709,f712,f715,f718,f721,f724,f727,f730,f733,f736,f739,f742,f745,f748,f751,f754,f757,f760,f763,f766,f769,f772,f775,f778,f781,f784,f787,f790,f793,f796,f799,f802,f805,f808,f811,f814,f817,f820,f823,f826,f829,f832,f835,f838,f841,f844,f847,f850,f853,f856,f859,f953,f865,f868,f871,f874,f877,f880,f883,f886,f889,f892,f895,f898,f901,f904,f907,f910,f913,f916,f919,f922,f925,f928,f931,f934,f937]) ).

fof(f957,plain,
    ( spl0_129
  <=> op(e0,e0) = e0 ),
    introduced(split_symbol_definition) ).

fof(f959,plain,
    ( op(e0,e0) != e0
    | spl0_129 ),
    inference(component_clause,[status(thm)],[f957]) ).

fof(f960,plain,
    ( ~ spl0_25
    | ~ spl0_129 ),
    inference(split_clause,[status(thm)],[f122,f640,f957]) ).

fof(f989,plain,
    ( spl0_137
  <=> op(e0,e1) = e3 ),
    introduced(split_symbol_definition) ).

fof(f991,plain,
    ( op(e0,e1) != e3
    | spl0_137 ),
    inference(component_clause,[status(thm)],[f989]) ).

fof(f992,plain,
    ( ~ spl0_26
    | ~ spl0_137 ),
    inference(split_clause,[status(thm)],[f131,f643,f989]) ).

fof(f1013,plain,
    ( spl0_143
  <=> op(e0,e2) = e4 ),
    introduced(split_symbol_definition) ).

fof(f1015,plain,
    ( op(e0,e2) != e4
    | spl0_143 ),
    inference(component_clause,[status(thm)],[f1013]) ).

fof(f1016,plain,
    ( ~ spl0_27
    | ~ spl0_143 ),
    inference(split_clause,[status(thm)],[f138,f646,f1013]) ).

fof(f1021,plain,
    ( spl0_145
  <=> op(e0,e3) = e1 ),
    introduced(split_symbol_definition) ).

fof(f1023,plain,
    ( op(e0,e3) != e1
    | spl0_145 ),
    inference(component_clause,[status(thm)],[f1021]) ).

fof(f1024,plain,
    ( ~ spl0_28
    | ~ spl0_145 ),
    inference(split_clause,[status(thm)],[f141,f649,f1021]) ).

fof(f1045,plain,
    ( spl0_151
  <=> op(e0,e4) = e2 ),
    introduced(split_symbol_definition) ).

fof(f1047,plain,
    ( op(e0,e4) != e2
    | spl0_151 ),
    inference(component_clause,[status(thm)],[f1045]) ).

fof(f1048,plain,
    ( ~ spl0_29
    | ~ spl0_151 ),
    inference(split_clause,[status(thm)],[f148,f652,f1045]) ).

fof(f1070,plain,
    ( spl0_157
  <=> op(e1,e0) = e4 ),
    introduced(split_symbol_definition) ).

fof(f1072,plain,
    ( op(e1,e0) != e4
    | spl0_157 ),
    inference(component_clause,[status(thm)],[f1070]) ).

fof(f1073,plain,
    ( ~ spl0_30
    | ~ spl0_157 ),
    inference(split_clause,[status(thm)],[f156,f655,f1070]) ).

fof(f1078,plain,
    ( spl0_159
  <=> op(e1,e1) = e1 ),
    introduced(split_symbol_definition) ).

fof(f1080,plain,
    ( op(e1,e1) != e1
    | spl0_159 ),
    inference(component_clause,[status(thm)],[f1078]) ).

fof(f1081,plain,
    ( ~ spl0_31
    | ~ spl0_159 ),
    inference(split_clause,[status(thm)],[f159,f658,f1078]) ).

fof(f1106,plain,
    ( spl0_166
  <=> op(e1,e2) = e3 ),
    introduced(split_symbol_definition) ).

fof(f1108,plain,
    ( op(e1,e2) != e3
    | spl0_166 ),
    inference(component_clause,[status(thm)],[f1106]) ).

fof(f1109,plain,
    ( ~ spl0_32
    | ~ spl0_166 ),
    inference(split_clause,[status(thm)],[f167,f661,f1106]) ).

fof(f1122,plain,
    ( spl0_170
  <=> op(e1,e3) = e2 ),
    introduced(split_symbol_definition) ).

fof(f1124,plain,
    ( op(e1,e3) != e2
    | spl0_170 ),
    inference(component_clause,[status(thm)],[f1122]) ).

fof(f1125,plain,
    ( ~ spl0_33
    | ~ spl0_170 ),
    inference(split_clause,[status(thm)],[f172,f664,f1122]) ).

fof(f1134,plain,
    ( spl0_173
  <=> op(e1,e4) = e0 ),
    introduced(split_symbol_definition) ).

fof(f1136,plain,
    ( op(e1,e4) != e0
    | spl0_173 ),
    inference(component_clause,[status(thm)],[f1134]) ).

fof(f1137,plain,
    ( ~ spl0_34
    | ~ spl0_173 ),
    inference(split_clause,[status(thm)],[f176,f667,f1134]) ).

fof(f1155,plain,
    ( spl0_178
  <=> op(e2,e0) = e1 ),
    introduced(split_symbol_definition) ).

fof(f1157,plain,
    ( op(e2,e0) != e1
    | spl0_178 ),
    inference(component_clause,[status(thm)],[f1155]) ).

fof(f1158,plain,
    ( ~ spl0_35
    | ~ spl0_178 ),
    inference(split_clause,[status(thm)],[f183,f670,f1155]) ).

fof(f1171,plain,
    ( spl0_182
  <=> op(e2,e1) = e0 ),
    introduced(split_symbol_definition) ).

fof(f1173,plain,
    ( op(e2,e1) != e0
    | spl0_182 ),
    inference(component_clause,[status(thm)],[f1171]) ).

fof(f1174,plain,
    ( ~ spl0_36
    | ~ spl0_182 ),
    inference(split_clause,[status(thm)],[f188,f673,f1171]) ).

fof(f1199,plain,
    ( spl0_189
  <=> op(e2,e2) = e2 ),
    introduced(split_symbol_definition) ).

fof(f1201,plain,
    ( op(e2,e2) != e2
    | spl0_189 ),
    inference(component_clause,[status(thm)],[f1199]) ).

fof(f1202,plain,
    ( ~ spl0_37
    | ~ spl0_189 ),
    inference(split_clause,[status(thm)],[f196,f676,f1199]) ).

fof(f1227,plain,
    ( spl0_196
  <=> op(e2,e3) = e4 ),
    introduced(split_symbol_definition) ).

fof(f1229,plain,
    ( op(e2,e3) != e4
    | spl0_196 ),
    inference(component_clause,[status(thm)],[f1227]) ).

fof(f1230,plain,
    ( ~ spl0_38
    | ~ spl0_196 ),
    inference(split_clause,[status(thm)],[f204,f679,f1227]) ).

fof(f1243,plain,
    ( spl0_200
  <=> op(e2,e4) = e3 ),
    introduced(split_symbol_definition) ).

fof(f1245,plain,
    ( op(e2,e4) != e3
    | spl0_200 ),
    inference(component_clause,[status(thm)],[f1243]) ).

fof(f1246,plain,
    ( ~ spl0_39
    | ~ spl0_200 ),
    inference(split_clause,[status(thm)],[f209,f682,f1243]) ).

fof(f1256,plain,
    ( spl0_203
  <=> op(e3,e0) = e2 ),
    introduced(split_symbol_definition) ).

fof(f1258,plain,
    ( op(e3,e0) != e2
    | spl0_203 ),
    inference(component_clause,[status(thm)],[f1256]) ).

fof(f1259,plain,
    ( ~ spl0_40
    | ~ spl0_203 ),
    inference(split_clause,[status(thm)],[f214,f685,f1256]) ).

fof(f1284,plain,
    ( spl0_210
  <=> op(e3,e1) = e4 ),
    introduced(split_symbol_definition) ).

fof(f1286,plain,
    ( op(e3,e1) != e4
    | spl0_210 ),
    inference(component_clause,[status(thm)],[f1284]) ).

fof(f1287,plain,
    ( ~ spl0_41
    | ~ spl0_210 ),
    inference(split_clause,[status(thm)],[f222,f688,f1284]) ).

fof(f1288,plain,
    ( spl0_211
  <=> op(e3,e2) = e0 ),
    introduced(split_symbol_definition) ).

fof(f1290,plain,
    ( op(e3,e2) != e0
    | spl0_211 ),
    inference(component_clause,[status(thm)],[f1288]) ).

fof(f1291,plain,
    ( ~ spl0_42
    | ~ spl0_211 ),
    inference(split_clause,[status(thm)],[f224,f691,f1288]) ).

fof(f1320,plain,
    ( spl0_219
  <=> op(e3,e3) = e3 ),
    introduced(split_symbol_definition) ).

fof(f1322,plain,
    ( op(e3,e3) != e3
    | spl0_219 ),
    inference(component_clause,[status(thm)],[f1320]) ).

fof(f1323,plain,
    ( ~ spl0_43
    | ~ spl0_219 ),
    inference(split_clause,[status(thm)],[f233,f694,f1320]) ).

fof(f1332,plain,
    ( spl0_222
  <=> op(e3,e4) = e1 ),
    introduced(split_symbol_definition) ).

fof(f1334,plain,
    ( op(e3,e4) != e1
    | spl0_222 ),
    inference(component_clause,[status(thm)],[f1332]) ).

fof(f1335,plain,
    ( ~ spl0_44
    | ~ spl0_222 ),
    inference(split_clause,[status(thm)],[f237,f697,f1332]) ).

fof(f1357,plain,
    ( spl0_228
  <=> op(e4,e0) = e3 ),
    introduced(split_symbol_definition) ).

fof(f1359,plain,
    ( op(e4,e0) != e3
    | spl0_228 ),
    inference(component_clause,[status(thm)],[f1357]) ).

fof(f1360,plain,
    ( ~ spl0_45
    | ~ spl0_228 ),
    inference(split_clause,[status(thm)],[f245,f700,f1357]) ).

fof(f1373,plain,
    ( spl0_232
  <=> op(e4,e1) = e2 ),
    introduced(split_symbol_definition) ).

fof(f1375,plain,
    ( op(e4,e1) != e2
    | spl0_232 ),
    inference(component_clause,[status(thm)],[f1373]) ).

fof(f1376,plain,
    ( ~ spl0_46
    | ~ spl0_232 ),
    inference(split_clause,[status(thm)],[f250,f703,f1373]) ).

fof(f1389,plain,
    ( spl0_236
  <=> op(e4,e2) = e1 ),
    introduced(split_symbol_definition) ).

fof(f1391,plain,
    ( op(e4,e2) != e1
    | spl0_236 ),
    inference(component_clause,[status(thm)],[f1389]) ).

fof(f1392,plain,
    ( ~ spl0_47
    | ~ spl0_236 ),
    inference(split_clause,[status(thm)],[f255,f706,f1389]) ).

fof(f1405,plain,
    ( spl0_240
  <=> op(e4,e3) = e0 ),
    introduced(split_symbol_definition) ).

fof(f1407,plain,
    ( op(e4,e3) != e0
    | spl0_240 ),
    inference(component_clause,[status(thm)],[f1405]) ).

fof(f1408,plain,
    ( ~ spl0_48
    | ~ spl0_240 ),
    inference(split_clause,[status(thm)],[f260,f709,f1405]) ).

fof(f1441,plain,
    ( ~ spl0_49
    | ~ spl0_128 ),
    inference(split_clause,[status(thm)],[f270,f712,f953]) ).

fof(f1442,plain,
    ( ~ spl0_50
    | ~ spl0_129 ),
    inference(split_clause,[status(thm)],[f272,f715,f957]) ).

fof(f1447,plain,
    ( ~ spl0_51
    | ~ spl0_129 ),
    inference(split_clause,[status(thm)],[f278,f718,f957]) ).

fof(f1455,plain,
    ( ~ spl0_52
    | ~ spl0_145 ),
    inference(split_clause,[status(thm)],[f287,f721,f1021]) ).

fof(f1459,plain,
    ( ~ spl0_53
    | ~ spl0_178 ),
    inference(split_clause,[status(thm)],[f292,f724,f1155]) ).

fof(f1466,plain,
    ( ~ spl0_54
    | ~ spl0_151 ),
    inference(split_clause,[status(thm)],[f300,f727,f1045]) ).

fof(f1470,plain,
    ( ~ spl0_55
    | ~ spl0_203 ),
    inference(split_clause,[status(thm)],[f305,f730,f1256]) ).

fof(f1473,plain,
    ( ~ spl0_56
    | ~ spl0_137 ),
    inference(split_clause,[status(thm)],[f309,f733,f989]) ).

fof(f1481,plain,
    ( ~ spl0_57
    | ~ spl0_228 ),
    inference(split_clause,[status(thm)],[f318,f736,f1357]) ).

fof(f1484,plain,
    ( ~ spl0_58
    | ~ spl0_143 ),
    inference(split_clause,[status(thm)],[f322,f739,f1013]) ).

fof(f1488,plain,
    ( ~ spl0_59
    | ~ spl0_157 ),
    inference(split_clause,[status(thm)],[f327,f742,f1070]) ).

fof(f1496,plain,
    ( ~ spl0_60
    | ~ spl0_173 ),
    inference(split_clause,[status(thm)],[f336,f745,f1134]) ).

fof(f1499,plain,
    ( ~ spl0_61
    | ~ spl0_182 ),
    inference(split_clause,[status(thm)],[f340,f748,f1171]) ).

fof(f1503,plain,
    ( ~ spl0_62
    | ~ spl0_159 ),
    inference(split_clause,[status(thm)],[f345,f751,f1078]) ).

fof(f1508,plain,
    ( ~ spl0_63
    | ~ spl0_159 ),
    inference(split_clause,[status(thm)],[f351,f754,f1078]) ).

fof(f1515,plain,
    ( ~ spl0_64
    | ~ spl0_170 ),
    inference(split_clause,[status(thm)],[f359,f757,f1122]) ).

fof(f1521,plain,
    ( ~ spl0_65
    | ~ spl0_232 ),
    inference(split_clause,[status(thm)],[f366,f760,f1373]) ).

fof(f1524,plain,
    ( ~ spl0_66
    | ~ spl0_166 ),
    inference(split_clause,[status(thm)],[f370,f763,f1106]) ).

fof(f1527,plain,
    ( ~ spl0_67
    | ~ spl0_137 ),
    inference(split_clause,[status(thm)],[f374,f766,f989]) ).

fof(f1532,plain,
    ( ~ spl0_68
    | ~ spl0_157 ),
    inference(split_clause,[status(thm)],[f380,f769,f1070]) ).

fof(f1540,plain,
    ( ~ spl0_69
    | ~ spl0_210 ),
    inference(split_clause,[status(thm)],[f389,f772,f1284]) ).

fof(f1543,plain,
    ( ~ spl0_70
    | ~ spl0_182 ),
    inference(split_clause,[status(thm)],[f393,f775,f1171]) ).

fof(f1550,plain,
    ( ~ spl0_71
    | ~ spl0_211 ),
    inference(split_clause,[status(thm)],[f401,f778,f1288]) ).

fof(f1552,plain,
    ( ~ spl0_72
    | ~ spl0_178 ),
    inference(split_clause,[status(thm)],[f404,f781,f1155]) ).

fof(f1561,plain,
    ( ~ spl0_73
    | ~ spl0_236 ),
    inference(split_clause,[status(thm)],[f414,f784,f1389]) ).

fof(f1564,plain,
    ( ~ spl0_74
    | ~ spl0_189 ),
    inference(split_clause,[status(thm)],[f418,f787,f1199]) ).

fof(f1569,plain,
    ( ~ spl0_75
    | ~ spl0_189 ),
    inference(split_clause,[status(thm)],[f424,f790,f1199]) ).

fof(f1576,plain,
    ( ~ spl0_76
    | ~ spl0_200 ),
    inference(split_clause,[status(thm)],[f432,f793,f1243]) ).

fof(f1578,plain,
    ( ~ spl0_77
    | ~ spl0_166 ),
    inference(split_clause,[status(thm)],[f435,f796,f1106]) ).

fof(f1585,plain,
    ( ~ spl0_78
    | ~ spl0_196 ),
    inference(split_clause,[status(thm)],[f443,f799,f1227]) ).

fof(f1587,plain,
    ( ~ spl0_79
    | ~ spl0_143 ),
    inference(split_clause,[status(thm)],[f446,f802,f1013]) ).

fof(f1594,plain,
    ( ~ spl0_80
    | ~ spl0_211 ),
    inference(split_clause,[status(thm)],[f454,f805,f1288]) ).

fof(f1601,plain,
    ( ~ spl0_81
    | ~ spl0_240 ),
    inference(split_clause,[status(thm)],[f462,f808,f1405]) ).

fof(f1606,plain,
    ( ~ spl0_82
    | ~ spl0_222 ),
    inference(split_clause,[status(thm)],[f468,f811,f1332]) ).

fof(f1607,plain,
    ( ~ spl0_83
    | ~ spl0_145 ),
    inference(split_clause,[status(thm)],[f470,f814,f1021]) ).

fof(f1612,plain,
    ( ~ spl0_84
    | ~ spl0_203 ),
    inference(split_clause,[status(thm)],[f476,f817,f1256]) ).

fof(f1618,plain,
    ( ~ spl0_85
    | ~ spl0_170 ),
    inference(split_clause,[status(thm)],[f483,f820,f1122]) ).

fof(f1625,plain,
    ( ~ spl0_86
    | ~ spl0_219 ),
    inference(split_clause,[status(thm)],[f491,f823,f1320]) ).

fof(f1630,plain,
    ( ~ spl0_87
    | ~ spl0_219 ),
    inference(split_clause,[status(thm)],[f497,f826,f1320]) ).

fof(f1633,plain,
    ( ~ spl0_88
    | ~ spl0_210 ),
    inference(split_clause,[status(thm)],[f501,f829,f1284]) ).

fof(f1639,plain,
    ( ~ spl0_89
    | ~ spl0_196 ),
    inference(split_clause,[status(thm)],[f508,f832,f1227]) ).

fof(f1645,plain,
    ( ~ spl0_90
    | ~ spl0_240 ),
    inference(split_clause,[status(thm)],[f515,f835,f1405]) ).

fof(f1648,plain,
    ( ~ spl0_91
    | ~ spl0_173 ),
    inference(split_clause,[status(thm)],[f519,f838,f1134]) ).

fof(f1654,plain,
    ( ~ spl0_92
    | ~ spl0_236 ),
    inference(split_clause,[status(thm)],[f526,f841,f1389]) ).

fof(f1660,plain,
    ( ~ spl0_93
    | ~ spl0_222 ),
    inference(split_clause,[status(thm)],[f533,f844,f1332]) ).

fof(f1663,plain,
    ( ~ spl0_94
    | ~ spl0_232 ),
    inference(split_clause,[status(thm)],[f537,f847,f1373]) ).

fof(f1667,plain,
    ( ~ spl0_95
    | ~ spl0_151 ),
    inference(split_clause,[status(thm)],[f542,f850,f1045]) ).

fof(f1672,plain,
    ( ~ spl0_96
    | ~ spl0_228 ),
    inference(split_clause,[status(thm)],[f548,f853,f1357]) ).

fof(f1679,plain,
    ( ~ spl0_97
    | ~ spl0_200 ),
    inference(split_clause,[status(thm)],[f556,f856,f1243]) ).

fof(f1686,plain,
    ( ~ spl0_98
    | ~ spl0_128 ),
    inference(split_clause,[status(thm)],[f564,f859,f953]) ).

fof(f1687,plain,
    ( e4 != e4
    | spl0_128 ),
    inference(forward_demodulation,[status(thm)],[f39,f955]) ).

fof(f1688,plain,
    ( $false
    | spl0_128 ),
    inference(trivial_equality_resolution,[status(esa)],[f1687]) ).

fof(f1689,plain,
    spl0_128,
    inference(contradiction_clause,[status(thm)],[f1688]) ).

fof(f1696,plain,
    ( e3 != e3
    | spl0_200 ),
    inference(forward_demodulation,[status(thm)],[f29,f1245]) ).

fof(f1697,plain,
    ( $false
    | spl0_200 ),
    inference(trivial_equality_resolution,[status(esa)],[f1696]) ).

fof(f1698,plain,
    spl0_200,
    inference(contradiction_clause,[status(thm)],[f1697]) ).

fof(f1704,plain,
    ( e3 != e3
    | spl0_228 ),
    inference(forward_demodulation,[status(thm)],[f35,f1359]) ).

fof(f1705,plain,
    ( $false
    | spl0_228 ),
    inference(trivial_equality_resolution,[status(esa)],[f1704]) ).

fof(f1706,plain,
    spl0_228,
    inference(contradiction_clause,[status(thm)],[f1705]) ).

fof(f1711,plain,
    ( e2 != e2
    | spl0_151 ),
    inference(forward_demodulation,[status(thm)],[f19,f1047]) ).

fof(f1712,plain,
    ( $false
    | spl0_151 ),
    inference(trivial_equality_resolution,[status(esa)],[f1711]) ).

fof(f1713,plain,
    spl0_151,
    inference(contradiction_clause,[status(thm)],[f1712]) ).

fof(f1716,plain,
    ( e2 != e2
    | spl0_232 ),
    inference(forward_demodulation,[status(thm)],[f36,f1375]) ).

fof(f1717,plain,
    ( $false
    | spl0_232 ),
    inference(trivial_equality_resolution,[status(esa)],[f1716]) ).

fof(f1718,plain,
    spl0_232,
    inference(contradiction_clause,[status(thm)],[f1717]) ).

fof(f1721,plain,
    ( e1 != e1
    | spl0_222 ),
    inference(forward_demodulation,[status(thm)],[f34,f1334]) ).

fof(f1722,plain,
    ( $false
    | spl0_222 ),
    inference(trivial_equality_resolution,[status(esa)],[f1721]) ).

fof(f1723,plain,
    spl0_222,
    inference(contradiction_clause,[status(thm)],[f1722]) ).

fof(f1728,plain,
    ( e1 != e1
    | spl0_236 ),
    inference(forward_demodulation,[status(thm)],[f37,f1391]) ).

fof(f1729,plain,
    ( $false
    | spl0_236 ),
    inference(trivial_equality_resolution,[status(esa)],[f1728]) ).

fof(f1730,plain,
    spl0_236,
    inference(contradiction_clause,[status(thm)],[f1729]) ).

fof(f1736,plain,
    ( e0 != e0
    | spl0_173 ),
    inference(forward_demodulation,[status(thm)],[f24,f1136]) ).

fof(f1737,plain,
    ( $false
    | spl0_173 ),
    inference(trivial_equality_resolution,[status(esa)],[f1736]) ).

fof(f1738,plain,
    spl0_173,
    inference(contradiction_clause,[status(thm)],[f1737]) ).

fof(f1740,plain,
    ( e0 != e0
    | spl0_240 ),
    inference(forward_demodulation,[status(thm)],[f38,f1407]) ).

fof(f1741,plain,
    ( $false
    | spl0_240 ),
    inference(trivial_equality_resolution,[status(esa)],[f1740]) ).

fof(f1742,plain,
    spl0_240,
    inference(contradiction_clause,[status(thm)],[f1741]) ).

fof(f1747,plain,
    ( e4 != e4
    | spl0_196 ),
    inference(forward_demodulation,[status(thm)],[f28,f1229]) ).

fof(f1748,plain,
    ( $false
    | spl0_196 ),
    inference(trivial_equality_resolution,[status(esa)],[f1747]) ).

fof(f1749,plain,
    spl0_196,
    inference(contradiction_clause,[status(thm)],[f1748]) ).

fof(f1754,plain,
    ( e4 != e4
    | spl0_210 ),
    inference(forward_demodulation,[status(thm)],[f31,f1286]) ).

fof(f1755,plain,
    ( $false
    | spl0_210 ),
    inference(trivial_equality_resolution,[status(esa)],[f1754]) ).

fof(f1756,plain,
    spl0_210,
    inference(contradiction_clause,[status(thm)],[f1755]) ).

fof(f1758,plain,
    ( e3 != e3
    | spl0_219 ),
    inference(forward_demodulation,[status(thm)],[f33,f1322]) ).

fof(f1759,plain,
    ( $false
    | spl0_219 ),
    inference(trivial_equality_resolution,[status(esa)],[f1758]) ).

fof(f1760,plain,
    spl0_219,
    inference(contradiction_clause,[status(thm)],[f1759]) ).

fof(f1769,plain,
    ( e2 != e2
    | spl0_170 ),
    inference(forward_demodulation,[status(thm)],[f23,f1124]) ).

fof(f1770,plain,
    ( $false
    | spl0_170 ),
    inference(trivial_equality_resolution,[status(esa)],[f1769]) ).

fof(f1771,plain,
    spl0_170,
    inference(contradiction_clause,[status(thm)],[f1770]) ).

fof(f1775,plain,
    ( e2 != e2
    | spl0_203 ),
    inference(forward_demodulation,[status(thm)],[f30,f1258]) ).

fof(f1776,plain,
    ( $false
    | spl0_203 ),
    inference(trivial_equality_resolution,[status(esa)],[f1775]) ).

fof(f1777,plain,
    spl0_203,
    inference(contradiction_clause,[status(thm)],[f1776]) ).

fof(f1781,plain,
    ( e1 != e1
    | spl0_145 ),
    inference(forward_demodulation,[status(thm)],[f18,f1023]) ).

fof(f1782,plain,
    ( $false
    | spl0_145 ),
    inference(trivial_equality_resolution,[status(esa)],[f1781]) ).

fof(f1783,plain,
    spl0_145,
    inference(contradiction_clause,[status(thm)],[f1782]) ).

fof(f1791,plain,
    ( e0 != e0
    | spl0_211 ),
    inference(forward_demodulation,[status(thm)],[f32,f1290]) ).

fof(f1792,plain,
    ( $false
    | spl0_211 ),
    inference(trivial_equality_resolution,[status(esa)],[f1791]) ).

fof(f1793,plain,
    spl0_211,
    inference(contradiction_clause,[status(thm)],[f1792]) ).

fof(f1798,plain,
    ( e4 != e4
    | spl0_143 ),
    inference(forward_demodulation,[status(thm)],[f17,f1015]) ).

fof(f1799,plain,
    ( $false
    | spl0_143 ),
    inference(trivial_equality_resolution,[status(esa)],[f1798]) ).

fof(f1800,plain,
    spl0_143,
    inference(contradiction_clause,[status(thm)],[f1799]) ).

fof(f1805,plain,
    ( e3 != e3
    | spl0_166 ),
    inference(forward_demodulation,[status(thm)],[f22,f1108]) ).

fof(f1806,plain,
    ( $false
    | spl0_166 ),
    inference(trivial_equality_resolution,[status(esa)],[f1805]) ).

fof(f1807,plain,
    spl0_166,
    inference(contradiction_clause,[status(thm)],[f1806]) ).

fof(f1811,plain,
    ( e2 != e2
    | spl0_189 ),
    inference(forward_demodulation,[status(thm)],[f27,f1201]) ).

fof(f1812,plain,
    ( $false
    | spl0_189 ),
    inference(trivial_equality_resolution,[status(esa)],[f1811]) ).

fof(f1813,plain,
    spl0_189,
    inference(contradiction_clause,[status(thm)],[f1812]) ).

fof(f1822,plain,
    ( e1 != e1
    | spl0_178 ),
    inference(forward_demodulation,[status(thm)],[f25,f1157]) ).

fof(f1823,plain,
    ( $false
    | spl0_178 ),
    inference(trivial_equality_resolution,[status(esa)],[f1822]) ).

fof(f1824,plain,
    spl0_178,
    inference(contradiction_clause,[status(thm)],[f1823]) ).

fof(f1828,plain,
    ( e0 != e0
    | spl0_182 ),
    inference(forward_demodulation,[status(thm)],[f26,f1173]) ).

fof(f1829,plain,
    ( $false
    | spl0_182 ),
    inference(trivial_equality_resolution,[status(esa)],[f1828]) ).

fof(f1830,plain,
    spl0_182,
    inference(contradiction_clause,[status(thm)],[f1829]) ).

fof(f1835,plain,
    ( e4 != e4
    | spl0_157 ),
    inference(forward_demodulation,[status(thm)],[f20,f1072]) ).

fof(f1836,plain,
    ( $false
    | spl0_157 ),
    inference(trivial_equality_resolution,[status(esa)],[f1835]) ).

fof(f1837,plain,
    spl0_157,
    inference(contradiction_clause,[status(thm)],[f1836]) ).

fof(f1839,plain,
    ( e3 != e3
    | spl0_137 ),
    inference(forward_demodulation,[status(thm)],[f16,f991]) ).

fof(f1840,plain,
    ( $false
    | spl0_137 ),
    inference(trivial_equality_resolution,[status(esa)],[f1839]) ).

fof(f1841,plain,
    spl0_137,
    inference(contradiction_clause,[status(thm)],[f1840]) ).

fof(f1846,plain,
    ( e1 != e1
    | spl0_159 ),
    inference(forward_demodulation,[status(thm)],[f21,f1080]) ).

fof(f1847,plain,
    ( $false
    | spl0_159 ),
    inference(trivial_equality_resolution,[status(esa)],[f1846]) ).

fof(f1848,plain,
    spl0_159,
    inference(contradiction_clause,[status(thm)],[f1847]) ).

fof(f1859,plain,
    ( e0 != e0
    | spl0_129 ),
    inference(forward_demodulation,[status(thm)],[f15,f959]) ).

fof(f1860,plain,
    ( $false
    | spl0_129 ),
    inference(trivial_equality_resolution,[status(esa)],[f1859]) ).

fof(f1861,plain,
    spl0_129,
    inference(contradiction_clause,[status(thm)],[f1860]) ).

fof(f1862,plain,
    ( op(e4,op(e4,e4)) != e4
    | spl0_124 ),
    inference(forward_demodulation,[status(thm)],[f39,f939]) ).

fof(f1863,plain,
    ( op(e4,e4) != e4
    | spl0_124 ),
    inference(forward_demodulation,[status(thm)],[f39,f1862]) ).

fof(f1864,plain,
    ( e4 != e4
    | spl0_124 ),
    inference(forward_demodulation,[status(thm)],[f39,f1863]) ).

fof(f1865,plain,
    ( $false
    | spl0_124 ),
    inference(trivial_equality_resolution,[status(esa)],[f1864]) ).

fof(f1866,plain,
    spl0_124,
    inference(contradiction_clause,[status(thm)],[f1865]) ).

fof(f1867,plain,
    ( op(e1,op(e4,e3)) != e4
    | spl0_123 ),
    inference(forward_demodulation,[status(thm)],[f34,f936]) ).

fof(f1868,plain,
    ( op(e1,e0) != e4
    | spl0_123 ),
    inference(forward_demodulation,[status(thm)],[f38,f1867]) ).

fof(f1869,plain,
    ( e4 != e4
    | spl0_123 ),
    inference(forward_demodulation,[status(thm)],[f20,f1868]) ).

fof(f1870,plain,
    ( $false
    | spl0_123 ),
    inference(trivial_equality_resolution,[status(esa)],[f1869]) ).

fof(f1871,plain,
    spl0_123,
    inference(contradiction_clause,[status(thm)],[f1870]) ).

fof(f1874,plain,
    ( op(e3,op(e4,e2)) != e4
    | spl0_122 ),
    inference(forward_demodulation,[status(thm)],[f29,f933]) ).

fof(f1875,plain,
    ( op(e3,e1) != e4
    | spl0_122 ),
    inference(forward_demodulation,[status(thm)],[f37,f1874]) ).

fof(f1876,plain,
    ( e4 != e4
    | spl0_122 ),
    inference(forward_demodulation,[status(thm)],[f31,f1875]) ).

fof(f1877,plain,
    ( $false
    | spl0_122 ),
    inference(trivial_equality_resolution,[status(esa)],[f1876]) ).

fof(f1878,plain,
    spl0_122,
    inference(contradiction_clause,[status(thm)],[f1877]) ).

fof(f1881,plain,
    ( op(e0,op(e4,e1)) != e4
    | spl0_121 ),
    inference(forward_demodulation,[status(thm)],[f24,f930]) ).

fof(f1882,plain,
    ( op(e0,e2) != e4
    | spl0_121 ),
    inference(forward_demodulation,[status(thm)],[f36,f1881]) ).

fof(f1883,plain,
    ( e4 != e4
    | spl0_121 ),
    inference(forward_demodulation,[status(thm)],[f17,f1882]) ).

fof(f1884,plain,
    ( $false
    | spl0_121 ),
    inference(trivial_equality_resolution,[status(esa)],[f1883]) ).

fof(f1885,plain,
    spl0_121,
    inference(contradiction_clause,[status(thm)],[f1884]) ).

fof(f1888,plain,
    ( op(e2,op(e4,e0)) != e4
    | spl0_120 ),
    inference(forward_demodulation,[status(thm)],[f19,f927]) ).

fof(f1889,plain,
    ( op(e2,e3) != e4
    | spl0_120 ),
    inference(forward_demodulation,[status(thm)],[f35,f1888]) ).

fof(f1890,plain,
    ( e4 != e4
    | spl0_120 ),
    inference(forward_demodulation,[status(thm)],[f28,f1889]) ).

fof(f1891,plain,
    ( $false
    | spl0_120 ),
    inference(trivial_equality_resolution,[status(esa)],[f1890]) ).

fof(f1892,plain,
    spl0_120,
    inference(contradiction_clause,[status(thm)],[f1891]) ).

fof(f1895,plain,
    ( op(e0,op(e3,e4)) != e3
    | spl0_119 ),
    inference(forward_demodulation,[status(thm)],[f38,f924]) ).

fof(f1896,plain,
    ( op(e0,e1) != e3
    | spl0_119 ),
    inference(forward_demodulation,[status(thm)],[f34,f1895]) ).

fof(f1897,plain,
    ( e3 != e3
    | spl0_119 ),
    inference(forward_demodulation,[status(thm)],[f16,f1896]) ).

fof(f1898,plain,
    ( $false
    | spl0_119 ),
    inference(trivial_equality_resolution,[status(esa)],[f1897]) ).

fof(f1899,plain,
    spl0_119,
    inference(contradiction_clause,[status(thm)],[f1898]) ).

fof(f1902,plain,
    ( op(e3,op(e3,e3)) != e3
    | spl0_118 ),
    inference(forward_demodulation,[status(thm)],[f33,f921]) ).

fof(f1903,plain,
    ( op(e3,e3) != e3
    | spl0_118 ),
    inference(forward_demodulation,[status(thm)],[f33,f1902]) ).

fof(f1904,plain,
    ( e3 != e3
    | spl0_118 ),
    inference(forward_demodulation,[status(thm)],[f33,f1903]) ).

fof(f1905,plain,
    ( $false
    | spl0_118 ),
    inference(trivial_equality_resolution,[status(esa)],[f1904]) ).

fof(f1906,plain,
    spl0_118,
    inference(contradiction_clause,[status(thm)],[f1905]) ).

fof(f1909,plain,
    ( op(e4,op(e3,e2)) != e3
    | spl0_117 ),
    inference(forward_demodulation,[status(thm)],[f28,f918]) ).

fof(f1910,plain,
    ( op(e4,e0) != e3
    | spl0_117 ),
    inference(forward_demodulation,[status(thm)],[f32,f1909]) ).

fof(f1911,plain,
    ( e3 != e3
    | spl0_117 ),
    inference(forward_demodulation,[status(thm)],[f35,f1910]) ).

fof(f1912,plain,
    ( $false
    | spl0_117 ),
    inference(trivial_equality_resolution,[status(esa)],[f1911]) ).

fof(f1913,plain,
    spl0_117,
    inference(contradiction_clause,[status(thm)],[f1912]) ).

fof(f1916,plain,
    ( op(e2,op(e3,e1)) != e3
    | spl0_116 ),
    inference(forward_demodulation,[status(thm)],[f23,f915]) ).

fof(f1917,plain,
    ( op(e2,e4) != e3
    | spl0_116 ),
    inference(forward_demodulation,[status(thm)],[f31,f1916]) ).

fof(f1918,plain,
    ( e3 != e3
    | spl0_116 ),
    inference(forward_demodulation,[status(thm)],[f29,f1917]) ).

fof(f1919,plain,
    ( $false
    | spl0_116 ),
    inference(trivial_equality_resolution,[status(esa)],[f1918]) ).

fof(f1920,plain,
    spl0_116,
    inference(contradiction_clause,[status(thm)],[f1919]) ).

fof(f1923,plain,
    ( op(e1,op(e3,e0)) != e3
    | spl0_115 ),
    inference(forward_demodulation,[status(thm)],[f18,f912]) ).

fof(f1924,plain,
    ( op(e1,e2) != e3
    | spl0_115 ),
    inference(forward_demodulation,[status(thm)],[f30,f1923]) ).

fof(f1925,plain,
    ( e3 != e3
    | spl0_115 ),
    inference(forward_demodulation,[status(thm)],[f22,f1924]) ).

fof(f1926,plain,
    ( $false
    | spl0_115 ),
    inference(trivial_equality_resolution,[status(esa)],[f1925]) ).

fof(f1927,plain,
    spl0_115,
    inference(contradiction_clause,[status(thm)],[f1926]) ).

fof(f1930,plain,
    ( op(e1,op(e2,e4)) != e2
    | spl0_114 ),
    inference(forward_demodulation,[status(thm)],[f37,f909]) ).

fof(f1931,plain,
    ( op(e1,e3) != e2
    | spl0_114 ),
    inference(forward_demodulation,[status(thm)],[f29,f1930]) ).

fof(f1932,plain,
    ( e2 != e2
    | spl0_114 ),
    inference(forward_demodulation,[status(thm)],[f23,f1931]) ).

fof(f1933,plain,
    ( $false
    | spl0_114 ),
    inference(trivial_equality_resolution,[status(esa)],[f1932]) ).

fof(f1934,plain,
    spl0_114,
    inference(contradiction_clause,[status(thm)],[f1933]) ).

fof(f1937,plain,
    ( op(e0,op(e2,e3)) != e2
    | spl0_113 ),
    inference(forward_demodulation,[status(thm)],[f32,f906]) ).

fof(f1938,plain,
    ( op(e0,e4) != e2
    | spl0_113 ),
    inference(forward_demodulation,[status(thm)],[f28,f1937]) ).

fof(f1939,plain,
    ( e2 != e2
    | spl0_113 ),
    inference(forward_demodulation,[status(thm)],[f19,f1938]) ).

fof(f1940,plain,
    ( $false
    | spl0_113 ),
    inference(trivial_equality_resolution,[status(esa)],[f1939]) ).

fof(f1941,plain,
    spl0_113,
    inference(contradiction_clause,[status(thm)],[f1940]) ).

fof(f1944,plain,
    ( op(e2,op(e2,e2)) != e2
    | spl0_112 ),
    inference(forward_demodulation,[status(thm)],[f27,f903]) ).

fof(f1945,plain,
    ( op(e2,e2) != e2
    | spl0_112 ),
    inference(forward_demodulation,[status(thm)],[f27,f1944]) ).

fof(f1946,plain,
    ( e2 != e2
    | spl0_112 ),
    inference(forward_demodulation,[status(thm)],[f27,f1945]) ).

fof(f1947,plain,
    ( $false
    | spl0_112 ),
    inference(trivial_equality_resolution,[status(esa)],[f1946]) ).

fof(f1948,plain,
    spl0_112,
    inference(contradiction_clause,[status(thm)],[f1947]) ).

fof(f1951,plain,
    ( op(e3,op(e2,e1)) != e2
    | spl0_111 ),
    inference(forward_demodulation,[status(thm)],[f22,f900]) ).

fof(f1952,plain,
    ( op(e3,e0) != e2
    | spl0_111 ),
    inference(forward_demodulation,[status(thm)],[f26,f1951]) ).

fof(f1953,plain,
    ( e2 != e2
    | spl0_111 ),
    inference(forward_demodulation,[status(thm)],[f30,f1952]) ).

fof(f1954,plain,
    ( $false
    | spl0_111 ),
    inference(trivial_equality_resolution,[status(esa)],[f1953]) ).

fof(f1955,plain,
    spl0_111,
    inference(contradiction_clause,[status(thm)],[f1954]) ).

fof(f1958,plain,
    ( op(e4,op(e2,e0)) != e2
    | spl0_110 ),
    inference(forward_demodulation,[status(thm)],[f17,f897]) ).

fof(f1959,plain,
    ( op(e4,e1) != e2
    | spl0_110 ),
    inference(forward_demodulation,[status(thm)],[f25,f1958]) ).

fof(f1960,plain,
    ( e2 != e2
    | spl0_110 ),
    inference(forward_demodulation,[status(thm)],[f36,f1959]) ).

fof(f1961,plain,
    ( $false
    | spl0_110 ),
    inference(trivial_equality_resolution,[status(esa)],[f1960]) ).

fof(f1962,plain,
    spl0_110,
    inference(contradiction_clause,[status(thm)],[f1961]) ).

fof(f1965,plain,
    ( op(e2,op(e1,e4)) != e1
    | spl0_109 ),
    inference(forward_demodulation,[status(thm)],[f36,f894]) ).

fof(f1966,plain,
    ( op(e2,e0) != e1
    | spl0_109 ),
    inference(forward_demodulation,[status(thm)],[f24,f1965]) ).

fof(f1967,plain,
    ( e1 != e1
    | spl0_109 ),
    inference(forward_demodulation,[status(thm)],[f25,f1966]) ).

fof(f1968,plain,
    ( $false
    | spl0_109 ),
    inference(trivial_equality_resolution,[status(esa)],[f1967]) ).

fof(f1969,plain,
    spl0_109,
    inference(contradiction_clause,[status(thm)],[f1968]) ).

fof(f1972,plain,
    ( op(e4,op(e1,e3)) != e1
    | spl0_108 ),
    inference(forward_demodulation,[status(thm)],[f31,f891]) ).

fof(f1973,plain,
    ( op(e4,e2) != e1
    | spl0_108 ),
    inference(forward_demodulation,[status(thm)],[f23,f1972]) ).

fof(f1974,plain,
    ( e1 != e1
    | spl0_108 ),
    inference(forward_demodulation,[status(thm)],[f37,f1973]) ).

fof(f1975,plain,
    ( $false
    | spl0_108 ),
    inference(trivial_equality_resolution,[status(esa)],[f1974]) ).

fof(f1976,plain,
    spl0_108,
    inference(contradiction_clause,[status(thm)],[f1975]) ).

fof(f1979,plain,
    ( op(e0,op(e1,e2)) != e1
    | spl0_107 ),
    inference(forward_demodulation,[status(thm)],[f26,f888]) ).

fof(f1980,plain,
    ( op(e0,e3) != e1
    | spl0_107 ),
    inference(forward_demodulation,[status(thm)],[f22,f1979]) ).

fof(f1981,plain,
    ( e1 != e1
    | spl0_107 ),
    inference(forward_demodulation,[status(thm)],[f18,f1980]) ).

fof(f1982,plain,
    ( $false
    | spl0_107 ),
    inference(trivial_equality_resolution,[status(esa)],[f1981]) ).

fof(f1983,plain,
    spl0_107,
    inference(contradiction_clause,[status(thm)],[f1982]) ).

fof(f1986,plain,
    ( op(e1,op(e1,e1)) != e1
    | spl0_106 ),
    inference(forward_demodulation,[status(thm)],[f21,f885]) ).

fof(f1987,plain,
    ( op(e1,e1) != e1
    | spl0_106 ),
    inference(forward_demodulation,[status(thm)],[f21,f1986]) ).

fof(f1988,plain,
    ( e1 != e1
    | spl0_106 ),
    inference(forward_demodulation,[status(thm)],[f21,f1987]) ).

fof(f1989,plain,
    ( $false
    | spl0_106 ),
    inference(trivial_equality_resolution,[status(esa)],[f1988]) ).

fof(f1990,plain,
    spl0_106,
    inference(contradiction_clause,[status(thm)],[f1989]) ).

fof(f1993,plain,
    ( op(e3,op(e1,e0)) != e1
    | spl0_105 ),
    inference(forward_demodulation,[status(thm)],[f16,f882]) ).

fof(f1994,plain,
    ( op(e3,e4) != e1
    | spl0_105 ),
    inference(forward_demodulation,[status(thm)],[f20,f1993]) ).

fof(f1995,plain,
    ( e1 != e1
    | spl0_105 ),
    inference(forward_demodulation,[status(thm)],[f34,f1994]) ).

fof(f1996,plain,
    ( $false
    | spl0_105 ),
    inference(trivial_equality_resolution,[status(esa)],[f1995]) ).

fof(f1997,plain,
    spl0_105,
    inference(contradiction_clause,[status(thm)],[f1996]) ).

fof(f2000,plain,
    ( op(e3,op(e0,e4)) != e0
    | spl0_104 ),
    inference(forward_demodulation,[status(thm)],[f35,f879]) ).

fof(f2001,plain,
    ( op(e3,e2) != e0
    | spl0_104 ),
    inference(forward_demodulation,[status(thm)],[f19,f2000]) ).

fof(f2002,plain,
    ( e0 != e0
    | spl0_104 ),
    inference(forward_demodulation,[status(thm)],[f32,f2001]) ).

fof(f2003,plain,
    ( $false
    | spl0_104 ),
    inference(trivial_equality_resolution,[status(esa)],[f2002]) ).

fof(f2004,plain,
    spl0_104,
    inference(contradiction_clause,[status(thm)],[f2003]) ).

fof(f2007,plain,
    ( op(e2,op(e0,e3)) != e0
    | spl0_103 ),
    inference(forward_demodulation,[status(thm)],[f30,f876]) ).

fof(f2008,plain,
    ( op(e2,e1) != e0
    | spl0_103 ),
    inference(forward_demodulation,[status(thm)],[f18,f2007]) ).

fof(f2009,plain,
    ( e0 != e0
    | spl0_103 ),
    inference(forward_demodulation,[status(thm)],[f26,f2008]) ).

fof(f2010,plain,
    ( $false
    | spl0_103 ),
    inference(trivial_equality_resolution,[status(esa)],[f2009]) ).

fof(f2011,plain,
    spl0_103,
    inference(contradiction_clause,[status(thm)],[f2010]) ).

fof(f2014,plain,
    ( op(e1,op(e0,e2)) != e0
    | spl0_102 ),
    inference(forward_demodulation,[status(thm)],[f25,f873]) ).

fof(f2015,plain,
    ( op(e1,e4) != e0
    | spl0_102 ),
    inference(forward_demodulation,[status(thm)],[f17,f2014]) ).

fof(f2016,plain,
    ( e0 != e0
    | spl0_102 ),
    inference(forward_demodulation,[status(thm)],[f24,f2015]) ).

fof(f2017,plain,
    ( $false
    | spl0_102 ),
    inference(trivial_equality_resolution,[status(esa)],[f2016]) ).

fof(f2018,plain,
    spl0_102,
    inference(contradiction_clause,[status(thm)],[f2017]) ).

fof(f2021,plain,
    ( op(e4,op(e0,e1)) != e0
    | spl0_101 ),
    inference(forward_demodulation,[status(thm)],[f20,f870]) ).

fof(f2022,plain,
    ( op(e4,e3) != e0
    | spl0_101 ),
    inference(forward_demodulation,[status(thm)],[f16,f2021]) ).

fof(f2023,plain,
    ( e0 != e0
    | spl0_101 ),
    inference(forward_demodulation,[status(thm)],[f38,f2022]) ).

fof(f2024,plain,
    ( $false
    | spl0_101 ),
    inference(trivial_equality_resolution,[status(esa)],[f2023]) ).

fof(f2025,plain,
    spl0_101,
    inference(contradiction_clause,[status(thm)],[f2024]) ).

fof(f2028,plain,
    ( op(e0,op(e0,e0)) != e0
    | spl0_100 ),
    inference(forward_demodulation,[status(thm)],[f15,f867]) ).

fof(f2029,plain,
    ( op(e0,e0) != e0
    | spl0_100 ),
    inference(forward_demodulation,[status(thm)],[f15,f2028]) ).

fof(f2030,plain,
    ( e0 != e0
    | spl0_100 ),
    inference(forward_demodulation,[status(thm)],[f15,f2029]) ).

fof(f2031,plain,
    ( $false
    | spl0_100 ),
    inference(trivial_equality_resolution,[status(esa)],[f2030]) ).

fof(f2032,plain,
    spl0_100,
    inference(contradiction_clause,[status(thm)],[f2031]) ).

fof(f2035,plain,
    ( op(e4,e4) != e4
    | spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f39,f639]) ).

fof(f2036,plain,
    ( e4 != e4
    | spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f39,f2035]) ).

fof(f2037,plain,
    ( $false
    | spl0_24 ),
    inference(trivial_equality_resolution,[status(esa)],[f2036]) ).

fof(f2038,plain,
    spl0_24,
    inference(contradiction_clause,[status(thm)],[f2037]) ).

fof(f2041,plain,
    ( op(e4,e0) != e3
    | spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f38,f636]) ).

fof(f2042,plain,
    ( e3 != e3
    | spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f35,f2041]) ).

fof(f2043,plain,
    ( $false
    | spl0_23 ),
    inference(trivial_equality_resolution,[status(esa)],[f2042]) ).

fof(f2044,plain,
    spl0_23,
    inference(contradiction_clause,[status(thm)],[f2043]) ).

fof(f2046,plain,
    ( op(e4,e1) != e2
    | spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f37,f633]) ).

fof(f2047,plain,
    ( e2 != e2
    | spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f36,f2046]) ).

fof(f2048,plain,
    ( $false
    | spl0_22 ),
    inference(trivial_equality_resolution,[status(esa)],[f2047]) ).

fof(f2049,plain,
    spl0_22,
    inference(contradiction_clause,[status(thm)],[f2048]) ).

fof(f2051,plain,
    ( op(e4,e2) != e1
    | spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f36,f630]) ).

fof(f2052,plain,
    ( e1 != e1
    | spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f37,f2051]) ).

fof(f2053,plain,
    ( $false
    | spl0_21 ),
    inference(trivial_equality_resolution,[status(esa)],[f2052]) ).

fof(f2054,plain,
    spl0_21,
    inference(contradiction_clause,[status(thm)],[f2053]) ).

fof(f2056,plain,
    ( op(e4,e3) != e0
    | spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f35,f627]) ).

fof(f2057,plain,
    ( e0 != e0
    | spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f38,f2056]) ).

fof(f2058,plain,
    ( $false
    | spl0_20 ),
    inference(trivial_equality_resolution,[status(esa)],[f2057]) ).

fof(f2059,plain,
    spl0_20,
    inference(contradiction_clause,[status(thm)],[f2058]) ).

fof(f2061,plain,
    ( op(e3,e1) != e4
    | spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f34,f624]) ).

fof(f2062,plain,
    ( e4 != e4
    | spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f31,f2061]) ).

fof(f2063,plain,
    ( $false
    | spl0_19 ),
    inference(trivial_equality_resolution,[status(esa)],[f2062]) ).

fof(f2064,plain,
    spl0_19,
    inference(contradiction_clause,[status(thm)],[f2063]) ).

fof(f2066,plain,
    ( op(e3,e3) != e3
    | spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f33,f621]) ).

fof(f2067,plain,
    ( e3 != e3
    | spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f33,f2066]) ).

fof(f2068,plain,
    ( $false
    | spl0_18 ),
    inference(trivial_equality_resolution,[status(esa)],[f2067]) ).

fof(f2069,plain,
    spl0_18,
    inference(contradiction_clause,[status(thm)],[f2068]) ).

fof(f2071,plain,
    ( op(e3,e0) != e2
    | spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f32,f618]) ).

fof(f2072,plain,
    ( e2 != e2
    | spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f30,f2071]) ).

fof(f2073,plain,
    ( $false
    | spl0_17 ),
    inference(trivial_equality_resolution,[status(esa)],[f2072]) ).

fof(f2074,plain,
    spl0_17,
    inference(contradiction_clause,[status(thm)],[f2073]) ).

fof(f2076,plain,
    ( op(e3,e4) != e1
    | spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f31,f615]) ).

fof(f2077,plain,
    ( e1 != e1
    | spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f34,f2076]) ).

fof(f2078,plain,
    ( $false
    | spl0_16 ),
    inference(trivial_equality_resolution,[status(esa)],[f2077]) ).

fof(f2079,plain,
    spl0_16,
    inference(contradiction_clause,[status(thm)],[f2078]) ).

fof(f2081,plain,
    ( op(e3,e2) != e0
    | spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f30,f612]) ).

fof(f2082,plain,
    ( e0 != e0
    | spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f32,f2081]) ).

fof(f2083,plain,
    ( $false
    | spl0_15 ),
    inference(trivial_equality_resolution,[status(esa)],[f2082]) ).

fof(f2084,plain,
    spl0_15,
    inference(contradiction_clause,[status(thm)],[f2083]) ).

fof(f2086,plain,
    ( op(e2,e3) != e4
    | spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f29,f609]) ).

fof(f2087,plain,
    ( e4 != e4
    | spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f28,f2086]) ).

fof(f2088,plain,
    ( $false
    | spl0_14 ),
    inference(trivial_equality_resolution,[status(esa)],[f2087]) ).

fof(f2089,plain,
    spl0_14,
    inference(contradiction_clause,[status(thm)],[f2088]) ).

fof(f2091,plain,
    ( op(e2,e4) != e3
    | spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f28,f606]) ).

fof(f2092,plain,
    ( e3 != e3
    | spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f29,f2091]) ).

fof(f2093,plain,
    ( $false
    | spl0_13 ),
    inference(trivial_equality_resolution,[status(esa)],[f2092]) ).

fof(f2094,plain,
    spl0_13,
    inference(contradiction_clause,[status(thm)],[f2093]) ).

fof(f2096,plain,
    ( op(e2,e2) != e2
    | spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f27,f603]) ).

fof(f2097,plain,
    ( e2 != e2
    | spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f27,f2096]) ).

fof(f2098,plain,
    ( $false
    | spl0_12 ),
    inference(trivial_equality_resolution,[status(esa)],[f2097]) ).

fof(f2099,plain,
    spl0_12,
    inference(contradiction_clause,[status(thm)],[f2098]) ).

fof(f2101,plain,
    ( op(e2,e0) != e1
    | spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f26,f600]) ).

fof(f2102,plain,
    ( e1 != e1
    | spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f25,f2101]) ).

fof(f2103,plain,
    ( $false
    | spl0_11 ),
    inference(trivial_equality_resolution,[status(esa)],[f2102]) ).

fof(f2104,plain,
    spl0_11,
    inference(contradiction_clause,[status(thm)],[f2103]) ).

fof(f2106,plain,
    ( op(e2,e1) != e0
    | spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f25,f597]) ).

fof(f2107,plain,
    ( e0 != e0
    | spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f26,f2106]) ).

fof(f2108,plain,
    ( $false
    | spl0_10 ),
    inference(trivial_equality_resolution,[status(esa)],[f2107]) ).

fof(f2109,plain,
    spl0_10,
    inference(contradiction_clause,[status(thm)],[f2108]) ).

fof(f2111,plain,
    ( op(e1,e0) != e4
    | spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f24,f594]) ).

fof(f2112,plain,
    ( e4 != e4
    | spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f20,f2111]) ).

fof(f2113,plain,
    ( $false
    | spl0_9 ),
    inference(trivial_equality_resolution,[status(esa)],[f2112]) ).

fof(f2114,plain,
    spl0_9,
    inference(contradiction_clause,[status(thm)],[f2113]) ).

fof(f2116,plain,
    ( op(e1,e2) != e3
    | spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f23,f591]) ).

fof(f2117,plain,
    ( e3 != e3
    | spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f22,f2116]) ).

fof(f2118,plain,
    ( $false
    | spl0_8 ),
    inference(trivial_equality_resolution,[status(esa)],[f2117]) ).

fof(f2119,plain,
    spl0_8,
    inference(contradiction_clause,[status(thm)],[f2118]) ).

fof(f2121,plain,
    ( op(e1,e3) != e2
    | spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f22,f588]) ).

fof(f2122,plain,
    ( e2 != e2
    | spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f23,f2121]) ).

fof(f2123,plain,
    ( $false
    | spl0_7 ),
    inference(trivial_equality_resolution,[status(esa)],[f2122]) ).

fof(f2124,plain,
    spl0_7,
    inference(contradiction_clause,[status(thm)],[f2123]) ).

fof(f2126,plain,
    ( op(e1,e1) != e1
    | spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f21,f585]) ).

fof(f2127,plain,
    ( e1 != e1
    | spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f21,f2126]) ).

fof(f2128,plain,
    ( $false
    | spl0_6 ),
    inference(trivial_equality_resolution,[status(esa)],[f2127]) ).

fof(f2129,plain,
    spl0_6,
    inference(contradiction_clause,[status(thm)],[f2128]) ).

fof(f2131,plain,
    ( op(e1,e4) != e0
    | spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f20,f582]) ).

fof(f2132,plain,
    ( e0 != e0
    | spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f24,f2131]) ).

fof(f2133,plain,
    ( $false
    | spl0_5 ),
    inference(trivial_equality_resolution,[status(esa)],[f2132]) ).

fof(f2134,plain,
    spl0_5,
    inference(contradiction_clause,[status(thm)],[f2133]) ).

fof(f2136,plain,
    ( op(e0,e2) != e4
    | spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f19,f579]) ).

fof(f2137,plain,
    ( e4 != e4
    | spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f17,f2136]) ).

fof(f2138,plain,
    ( $false
    | spl0_4 ),
    inference(trivial_equality_resolution,[status(esa)],[f2137]) ).

fof(f2139,plain,
    spl0_4,
    inference(contradiction_clause,[status(thm)],[f2138]) ).

fof(f2141,plain,
    ( op(e0,e1) != e3
    | spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f18,f576]) ).

fof(f2142,plain,
    ( e3 != e3
    | spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f16,f2141]) ).

fof(f2143,plain,
    ( $false
    | spl0_3 ),
    inference(trivial_equality_resolution,[status(esa)],[f2142]) ).

fof(f2144,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f2143]) ).

fof(f2146,plain,
    ( op(e0,e4) != e2
    | spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f17,f573]) ).

fof(f2147,plain,
    ( e2 != e2
    | spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f19,f2146]) ).

fof(f2148,plain,
    ( $false
    | spl0_2 ),
    inference(trivial_equality_resolution,[status(esa)],[f2147]) ).

fof(f2149,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f2148]) ).

fof(f2151,plain,
    ( op(e0,e0) != e0
    | spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f15,f567]) ).

fof(f2152,plain,
    ( e0 != e0
    | spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f15,f2151]) ).

fof(f2153,plain,
    ( $false
    | spl0_0 ),
    inference(trivial_equality_resolution,[status(esa)],[f2152]) ).

fof(f2154,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f2153]) ).

fof(f2156,plain,
    ( op(e0,e3) != e1
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f16,f570]) ).

fof(f2157,plain,
    ( e1 != e1
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f18,f2156]) ).

fof(f2158,plain,
    ( $false
    | spl0_1 ),
    inference(trivial_equality_resolution,[status(esa)],[f2157]) ).

fof(f2159,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f2158]) ).

fof(f2160,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f956,f960,f992,f1016,f1024,f1048,f1073,f1081,f1109,f1125,f1137,f1158,f1174,f1202,f1230,f1246,f1259,f1287,f1291,f1323,f1335,f1360,f1376,f1392,f1408,f1441,f1442,f1447,f1455,f1459,f1466,f1470,f1473,f1481,f1484,f1488,f1496,f1499,f1503,f1508,f1515,f1521,f1524,f1527,f1532,f1540,f1543,f1550,f1552,f1561,f1564,f1569,f1576,f1578,f1585,f1587,f1594,f1601,f1606,f1607,f1612,f1618,f1625,f1630,f1633,f1639,f1645,f1648,f1654,f1660,f1663,f1667,f1672,f1679,f1686,f1689,f1698,f1706,f1713,f1718,f1723,f1730,f1738,f1742,f1749,f1756,f1760,f1771,f1777,f1783,f1793,f1800,f1807,f1813,f1824,f1830,f1837,f1841,f1848,f1861,f1866,f1871,f1878,f1885,f1892,f1899,f1906,f1913,f1920,f1927,f1934,f1941,f1948,f1955,f1962,f1969,f1976,f1983,f1990,f1997,f2004,f2011,f2018,f2025,f2032,f2038,f2044,f2049,f2054,f2059,f2064,f2069,f2074,f2079,f2084,f2089,f2094,f2099,f2104,f2109,f2114,f2119,f2124,f2129,f2134,f2139,f2144,f2149,f2154,f2159]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : ALG188+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35  % Computer : n029.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Mon Apr 29 23:53:20 EDT 2024
% 0.15/0.35  % CPUTime  : 
% 0.21/0.37  % Drodi V3.6.0
% 0.21/0.40  % Refutation found
% 0.21/0.40  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.40  % Elapsed time: 0.040975 seconds
% 0.21/0.40  % CPU time: 0.146295 seconds
% 0.21/0.40  % Total memory used: 11.730 MB
% 0.21/0.40  % Net memory used: 11.504 MB
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