%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : ALG151+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n006.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 20:10:21 EDT 2024

% Result   : Unsatisfiable 5.65s 1.13s
% Output   : CNFRefutation 5.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  169
% Syntax   : Number of formulae    : 1691 (  55 unt;   0 def)
%            Number of atoms       : 7814 (4541 equ)
%            Maximal formula atoms :  208 (   4 avg)
%            Number of connectives : 11382 (5259   ~;4347   |;1636   &)
%                                         ( 122 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  142 ( 140 usr; 141 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f30,plain,
    ( op(e0,e0) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f31,plain,
    ( op(e0,e1) = e0
    | op(e0,e1) = e1
    | op(e0,e1) = e2
    | op(e0,e1) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f32,plain,
    ( op(e0,e2) = e0
    | op(e0,e2) = e1
    | op(e0,e2) = e2
    | op(e0,e2) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f33,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e0,e3) = e2
    | op(e0,e3) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f34,plain,
    ( op(e1,e0) = e0
    | op(e1,e0) = e1
    | op(e1,e0) = e2
    | op(e1,e0) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f35,plain,
    ( op(e1,e1) = e0
    | op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f36,plain,
    ( op(e1,e2) = e0
    | op(e1,e2) = e1
    | op(e1,e2) = e2
    | op(e1,e2) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f37,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | op(e1,e3) = e2
    | op(e1,e3) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f38,plain,
    ( op(e2,e0) = e0
    | op(e2,e0) = e1
    | op(e2,e0) = e2
    | op(e2,e0) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f39,plain,
    ( op(e2,e1) = e0
    | op(e2,e1) = e1
    | op(e2,e1) = e2
    | op(e2,e1) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f40,plain,
    ( op(e2,e2) = e0
    | op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f41,plain,
    ( op(e2,e3) = e0
    | op(e2,e3) = e1
    | op(e2,e3) = e2
    | op(e2,e3) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f42,plain,
    ( op(e3,e0) = e0
    | op(e3,e0) = e1
    | op(e3,e0) = e2
    | op(e3,e0) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f43,plain,
    ( op(e3,e1) = e0
    | op(e3,e1) = e1
    | op(e3,e1) = e2
    | op(e3,e1) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f44,plain,
    ( op(e3,e2) = e0
    | op(e3,e2) = e1
    | op(e3,e2) = e2
    | op(e3,e2) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f45,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | op(e3,e3) = e3 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f46,plain,
    ( op(e0,e0) = e0
    | op(e0,e1) = e0
    | op(e0,e2) = e0
    | op(e0,e3) = e0 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f47,plain,
    ( op(e0,e0) = e0
    | op(e1,e0) = e0
    | op(e2,e0) = e0
    | op(e3,e0) = e0 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f48,plain,
    ( op(e0,e0) = e1
    | op(e0,e1) = e1
    | op(e0,e2) = e1
    | op(e0,e3) = e1 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f49,plain,
    ( op(e0,e0) = e1
    | op(e1,e0) = e1
    | op(e2,e0) = e1
    | op(e3,e0) = e1 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f50,plain,
    ( op(e0,e0) = e2
    | op(e0,e1) = e2
    | op(e0,e2) = e2
    | op(e0,e3) = e2 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f51,plain,
    ( op(e0,e0) = e2
    | op(e1,e0) = e2
    | op(e2,e0) = e2
    | op(e3,e0) = e2 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f52,plain,
    ( op(e0,e0) = e3
    | op(e0,e1) = e3
    | op(e0,e2) = e3
    | op(e0,e3) = e3 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f53,plain,
    ( op(e0,e0) = e3
    | op(e1,e0) = e3
    | op(e2,e0) = e3
    | op(e3,e0) = e3 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f54,plain,
    ( op(e1,e0) = e0
    | op(e1,e1) = e0
    | op(e1,e2) = e0
    | op(e1,e3) = e0 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f55,plain,
    ( op(e0,e1) = e0
    | op(e1,e1) = e0
    | op(e2,e1) = e0
    | op(e3,e1) = e0 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f56,plain,
    ( op(e1,e0) = e1
    | op(e1,e1) = e1
    | op(e1,e2) = e1
    | op(e1,e3) = e1 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f57,plain,
    ( op(e0,e1) = e1
    | op(e1,e1) = e1
    | op(e2,e1) = e1
    | op(e3,e1) = e1 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f58,plain,
    ( op(e1,e0) = e2
    | op(e1,e1) = e2
    | op(e1,e2) = e2
    | op(e1,e3) = e2 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f59,plain,
    ( op(e0,e1) = e2
    | op(e1,e1) = e2
    | op(e2,e1) = e2
    | op(e3,e1) = e2 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f60,plain,
    ( op(e1,e0) = e3
    | op(e1,e1) = e3
    | op(e1,e2) = e3
    | op(e1,e3) = e3 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f61,plain,
    ( op(e0,e1) = e3
    | op(e1,e1) = e3
    | op(e2,e1) = e3
    | op(e3,e1) = e3 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f62,plain,
    ( op(e2,e0) = e0
    | op(e2,e1) = e0
    | op(e2,e2) = e0
    | op(e2,e3) = e0 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f63,plain,
    ( op(e0,e2) = e0
    | op(e1,e2) = e0
    | op(e2,e2) = e0
    | op(e3,e2) = e0 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f64,plain,
    ( op(e2,e0) = e1
    | op(e2,e1) = e1
    | op(e2,e2) = e1
    | op(e2,e3) = e1 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f65,plain,
    ( op(e0,e2) = e1
    | op(e1,e2) = e1
    | op(e2,e2) = e1
    | op(e3,e2) = e1 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f66,plain,
    ( op(e2,e0) = e2
    | op(e2,e1) = e2
    | op(e2,e2) = e2
    | op(e2,e3) = e2 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f67,plain,
    ( op(e0,e2) = e2
    | op(e1,e2) = e2
    | op(e2,e2) = e2
    | op(e3,e2) = e2 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f68,plain,
    ( op(e2,e0) = e3
    | op(e2,e1) = e3
    | op(e2,e2) = e3
    | op(e2,e3) = e3 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f69,plain,
    ( op(e0,e2) = e3
    | op(e1,e2) = e3
    | op(e2,e2) = e3
    | op(e3,e2) = e3 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f70,plain,
    ( op(e3,e0) = e0
    | op(e3,e1) = e0
    | op(e3,e2) = e0
    | op(e3,e3) = e0 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f71,plain,
    ( op(e0,e3) = e0
    | op(e1,e3) = e0
    | op(e2,e3) = e0
    | op(e3,e3) = e0 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f72,plain,
    ( op(e3,e0) = e1
    | op(e3,e1) = e1
    | op(e3,e2) = e1
    | op(e3,e3) = e1 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f73,plain,
    ( op(e0,e3) = e1
    | op(e1,e3) = e1
    | op(e2,e3) = e1
    | op(e3,e3) = e1 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f74,plain,
    ( op(e3,e0) = e2
    | op(e3,e1) = e2
    | op(e3,e2) = e2
    | op(e3,e3) = e2 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f75,plain,
    ( op(e0,e3) = e2
    | op(e1,e3) = e2
    | op(e2,e3) = e2
    | op(e3,e3) = e2 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f76,plain,
    ( op(e3,e0) = e3
    | op(e3,e1) = e3
    | op(e3,e2) = e3
    | op(e3,e3) = e3 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f77,plain,
    ( op(e0,e3) = e3
    | op(e1,e3) = e3
    | op(e2,e3) = e3
    | op(e3,e3) = e3 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f78,plain,
    op(e0,e0) != op(e1,e0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f79,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f80,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f81,plain,
    op(e1,e0) != op(e2,e0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f82,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f83,plain,
    op(e2,e0) != op(e3,e0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f84,plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f85,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f86,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f87,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f88,plain,
    op(e1,e1) != op(e3,e1),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f89,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f90,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f91,plain,
    op(e0,e2) != op(e2,e2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f92,plain,
    op(e0,e2) != op(e3,e2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f93,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f94,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f95,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f96,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f97,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f98,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f99,plain,
    op(e1,e3) != op(e2,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f100,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f101,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f102,plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f103,plain,
    op(e0,e0) != op(e0,e2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f104,plain,
    op(e0,e0) != op(e0,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f105,plain,
    op(e0,e1) != op(e0,e2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f106,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f107,plain,
    op(e0,e2) != op(e0,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f108,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f109,plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f110,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f111,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f112,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f113,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f114,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f115,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f116,plain,
    op(e2,e0) != op(e2,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f117,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f118,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f119,plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f120,plain,
    op(e3,e0) != op(e3,e1),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f121,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f122,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f123,plain,
    op(e3,e1) != op(e3,e2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f124,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f125,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f126,plain,
    e0 != e1,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f127,plain,
    e0 != e2,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f128,plain,
    e0 != e3,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f129,plain,
    e1 != e2,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f130,plain,
    e1 != e3,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f131,plain,
    e2 != e3,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f132,plain,
    ( pd0_0
   => ( ( 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,e0) != e0
          | op(e0,e0) = e0 )
        & ( op(e1,e1) != e0
          | op(e1,e0) = e1 )
        & ( op(e2,e2) != e0
          | op(e2,e0) = e2 )
        & ( op(e3,e3) != e0
          | op(e3,e0) = e3 ) )
      | ( 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(e0,e0) != e1
          | op(e0,e1) = e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) = e1 )
        & ( op(e2,e2) != e1
          | op(e2,e1) = e2 )
        & ( op(e3,e3) != e1
          | op(e3,e1) = e3 ) )
      | ( 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(e0,e0) != e2
          | op(e0,e2) = e0 )
        & ( op(e1,e1) != e2
          | op(e1,e2) = e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) = e2 )
        & ( op(e3,e3) != e2
          | op(e3,e2) = e3 ) ) ) ),
    introduced(predicate_definition,[f5]) ).

fof(f133,plain,
    ( pd0_1
   => ( ( op(e0,e0) = e0
        & op(e0,e0) = e0
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e0,e1) = e0
        & op(e1,e0) = e0
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e0,e2) = e0
        & op(e2,e0) = e0
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) )
      | ( op(e0,e3) = e0
        & op(e3,e0) = e0
        & ( op(e3,e0) != e3
          | op(e3,e3) != e0 )
        & ( op(e3,e1) != e3
          | op(e3,e3) != e1 )
        & ( op(e3,e2) != e3
          | op(e3,e3) != e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) != e3 ) )
      | ( op(e1,e0) = e1
        & op(e0,e1) = e1
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e1,e1) = e1
        & op(e1,e1) = e1
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e1,e2) = e1
        & op(e2,e1) = e1
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) )
      | ( op(e1,e3) = e1
        & op(e3,e1) = e1
        & ( op(e3,e0) != e3
          | op(e3,e3) != e0 )
        & ( op(e3,e1) != e3
          | op(e3,e3) != e1 )
        & ( op(e3,e2) != e3
          | op(e3,e3) != e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) != e3 ) )
      | ( op(e2,e0) = e2
        & op(e0,e2) = e2
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e2,e1) = e2
        & op(e1,e2) = e2
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e2,e2) = e2
        & op(e2,e2) = e2
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) )
      | ( op(e2,e3) = e2
        & op(e3,e2) = e2
        & ( op(e3,e0) != e3
          | op(e3,e3) != e0 )
        & ( op(e3,e1) != e3
          | op(e3,e3) != e1 )
        & ( op(e3,e2) != e3
          | op(e3,e3) != e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) != e3 ) )
      | ( op(e3,e0) = e3
        & op(e0,e3) = e3
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e3,e1) = e3
        & op(e1,e3) = e3
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e3,e2) = e3
        & op(e2,e3) = e3
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) ) ) ),
    introduced(predicate_definition,[f5]) ).

fof(f134,plain,
    ( ( pd0_0
      | ( 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(e0,e0) != e3
          | op(e0,e3) = e0 )
        & ( op(e1,e1) != e3
          | op(e1,e3) = e1 )
        & ( op(e2,e2) != e3
          | op(e2,e3) = e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) = e3 ) ) )
    & ( pd0_1
      | ( op(e3,e3) = e3
        & op(e3,e3) = e3
        & ( op(e3,e0) != e3
          | op(e3,e3) != e0 )
        & ( op(e3,e1) != e3
          | op(e3,e3) != e1 )
        & ( op(e3,e2) != e3
          | op(e3,e3) != e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) != e3 ) ) ) ),
    inference(formula_renaming,[status(thm)],[f5,f133,f132]) ).

fof(f135,plain,
    ( pd0_0
    | op(e3,op(e3,e0)) = e0 ),
    inference(cnf_transformation,[status(esa)],[f134]) ).

fof(f136,plain,
    ( pd0_0
    | op(e3,op(e3,e1)) = e1 ),
    inference(cnf_transformation,[status(esa)],[f134]) ).

fof(f137,plain,
    ( pd0_0
    | op(e3,op(e3,e2)) = e2 ),
    inference(cnf_transformation,[status(esa)],[f134]) ).

fof(f138,plain,
    ( pd0_0
    | op(e3,op(e3,e3)) = e3 ),
    inference(cnf_transformation,[status(esa)],[f134]) ).

fof(f139,plain,
    ( pd0_0
    | op(e0,e0) != e3
    | op(e0,e3) = e0 ),
    inference(cnf_transformation,[status(esa)],[f134]) ).

fof(f140,plain,
    ( pd0_0
    | op(e1,e1) != e3
    | op(e1,e3) = e1 ),
    inference(cnf_transformation,[status(esa)],[f134]) ).

fof(f141,plain,
    ( pd0_0
    | op(e2,e2) != e3
    | op(e2,e3) = e2 ),
    inference(cnf_transformation,[status(esa)],[f134]) ).

fof(f143,plain,
    ( pd0_1
    | op(e3,e3) = e3 ),
    inference(cnf_transformation,[status(esa)],[f134]) ).

fof(f145,plain,
    ( pd0_1
    | op(e3,e0) != e3
    | op(e3,e3) != e0 ),
    inference(cnf_transformation,[status(esa)],[f134]) ).

fof(f146,plain,
    ( pd0_1
    | op(e3,e1) != e3
    | op(e3,e3) != e1 ),
    inference(cnf_transformation,[status(esa)],[f134]) ).

fof(f147,plain,
    ( pd0_1
    | op(e3,e2) != e3
    | op(e3,e3) != e2 ),
    inference(cnf_transformation,[status(esa)],[f134]) ).

fof(f148,plain,
    ( pd0_1
    | op(e3,e3) != e3
    | op(e3,e3) != e3 ),
    inference(cnf_transformation,[status(esa)],[f134]) ).

fof(f149,plain,
    ( e0 != op(e1,e1)
    | e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
    | e3 != op(op(e1,e1),op(e1,e1)) ),
    inference(pre_NNF_transformation,[status(esa)],[f6]) ).

fof(f150,plain,
    ( e0 != op(e1,e1)
    | e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
    | e3 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[status(esa)],[f149]) ).

fof(f151,plain,
    ( e0 != op(e1,e1)
    | e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
    | e2 != op(op(e1,e1),op(e1,e1)) ),
    inference(pre_NNF_transformation,[status(esa)],[f7]) ).

fof(f152,plain,
    ( e0 != op(e1,e1)
    | e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
    | e2 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[status(esa)],[f151]) ).

fof(f153,plain,
    ( e0 != op(e2,e2)
    | e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | e3 != op(op(e2,e2),op(e2,e2)) ),
    inference(pre_NNF_transformation,[status(esa)],[f8]) ).

fof(f154,plain,
    ( e0 != op(e2,e2)
    | e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | e3 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[status(esa)],[f153]) ).

fof(f155,plain,
    ( e0 != op(e2,e2)
    | e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | e1 != op(op(e2,e2),op(e2,e2)) ),
    inference(pre_NNF_transformation,[status(esa)],[f9]) ).

fof(f156,plain,
    ( e0 != op(e2,e2)
    | e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | e1 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[status(esa)],[f155]) ).

fof(f157,plain,
    ( e0 != op(e3,e3)
    | e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
    | e2 != op(op(e3,e3),op(e3,e3)) ),
    inference(pre_NNF_transformation,[status(esa)],[f10]) ).

fof(f158,plain,
    ( e0 != op(e3,e3)
    | e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
    | e2 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[status(esa)],[f157]) ).

fof(f159,plain,
    ( e0 != op(e3,e3)
    | e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
    | e1 != op(op(e3,e3),op(e3,e3)) ),
    inference(pre_NNF_transformation,[status(esa)],[f11]) ).

fof(f160,plain,
    ( e0 != op(e3,e3)
    | e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
    | e1 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[status(esa)],[f159]) ).

fof(f161,plain,
    ( e1 != op(e0,e0)
    | e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
    | e3 != op(op(e0,e0),op(e0,e0)) ),
    inference(pre_NNF_transformation,[status(esa)],[f12]) ).

fof(f162,plain,
    ( e1 != op(e0,e0)
    | e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
    | e3 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[status(esa)],[f161]) ).

fof(f163,plain,
    ( e1 != op(e0,e0)
    | e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
    | e2 != op(op(e0,e0),op(e0,e0)) ),
    inference(pre_NNF_transformation,[status(esa)],[f13]) ).

fof(f164,plain,
    ( e1 != op(e0,e0)
    | e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
    | e2 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[status(esa)],[f163]) ).

fof(f165,plain,
    ( e1 != op(e2,e2)
    | e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | e3 != op(op(e2,e2),op(e2,e2)) ),
    inference(pre_NNF_transformation,[status(esa)],[f14]) ).

fof(f166,plain,
    ( e1 != op(e2,e2)
    | e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | e3 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[status(esa)],[f165]) ).

fof(f167,plain,
    ( e1 != op(e2,e2)
    | e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | e0 != op(op(e2,e2),op(e2,e2)) ),
    inference(pre_NNF_transformation,[status(esa)],[f15]) ).

fof(f168,plain,
    ( e1 != op(e2,e2)
    | e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | e0 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[status(esa)],[f167]) ).

fof(f169,plain,
    ( e1 != op(e3,e3)
    | e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
    | e2 != op(op(e3,e3),op(e3,e3)) ),
    inference(pre_NNF_transformation,[status(esa)],[f16]) ).

fof(f170,plain,
    ( e1 != op(e3,e3)
    | e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
    | e2 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[status(esa)],[f169]) ).

fof(f171,plain,
    ( e1 != op(e3,e3)
    | e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
    | e0 != op(op(e3,e3),op(e3,e3)) ),
    inference(pre_NNF_transformation,[status(esa)],[f17]) ).

fof(f172,plain,
    ( e1 != op(e3,e3)
    | e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
    | e0 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[status(esa)],[f171]) ).

fof(f173,plain,
    ( e2 != op(e0,e0)
    | e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
    | e3 != op(op(e0,e0),op(e0,e0)) ),
    inference(pre_NNF_transformation,[status(esa)],[f18]) ).

fof(f174,plain,
    ( e2 != op(e0,e0)
    | e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
    | e3 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[status(esa)],[f173]) ).

fof(f175,plain,
    ( e2 != op(e0,e0)
    | e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
    | e1 != op(op(e0,e0),op(e0,e0)) ),
    inference(pre_NNF_transformation,[status(esa)],[f19]) ).

fof(f176,plain,
    ( e2 != op(e0,e0)
    | e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
    | e1 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[status(esa)],[f175]) ).

fof(f177,plain,
    ( e2 != op(e1,e1)
    | e0 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
    | e3 != op(op(e1,e1),op(e1,e1)) ),
    inference(pre_NNF_transformation,[status(esa)],[f20]) ).

fof(f178,plain,
    ( e2 != op(e1,e1)
    | e0 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
    | e3 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[status(esa)],[f177]) ).

fof(f179,plain,
    ( e2 != op(e1,e1)
    | e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
    | e0 != op(op(e1,e1),op(e1,e1)) ),
    inference(pre_NNF_transformation,[status(esa)],[f21]) ).

fof(f180,plain,
    ( e2 != op(e1,e1)
    | e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
    | e0 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[status(esa)],[f179]) ).

fof(f181,plain,
    ( e2 != op(e3,e3)
    | e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
    | e1 != op(op(e3,e3),op(e3,e3)) ),
    inference(pre_NNF_transformation,[status(esa)],[f22]) ).

fof(f182,plain,
    ( e2 != op(e3,e3)
    | e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
    | e1 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[status(esa)],[f181]) ).

fof(f183,plain,
    ( e2 != op(e3,e3)
    | e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
    | e0 != op(op(e3,e3),op(e3,e3)) ),
    inference(pre_NNF_transformation,[status(esa)],[f23]) ).

fof(f184,plain,
    ( e2 != op(e3,e3)
    | e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
    | e0 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[status(esa)],[f183]) ).

fof(f185,plain,
    ( e3 != op(e0,e0)
    | e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
    | e2 != op(op(e0,e0),op(e0,e0)) ),
    inference(pre_NNF_transformation,[status(esa)],[f24]) ).

fof(f186,plain,
    ( e3 != op(e0,e0)
    | e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
    | e2 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[status(esa)],[f185]) ).

fof(f187,plain,
    ( e3 != op(e0,e0)
    | e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
    | e1 != op(op(e0,e0),op(e0,e0)) ),
    inference(pre_NNF_transformation,[status(esa)],[f25]) ).

fof(f188,plain,
    ( e3 != op(e0,e0)
    | e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
    | e1 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[status(esa)],[f187]) ).

fof(f189,plain,
    ( e3 != op(e1,e1)
    | e0 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
    | e2 != op(op(e1,e1),op(e1,e1)) ),
    inference(pre_NNF_transformation,[status(esa)],[f26]) ).

fof(f190,plain,
    ( e3 != op(e1,e1)
    | e0 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
    | e2 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[status(esa)],[f189]) ).

fof(f191,plain,
    ( e3 != op(e1,e1)
    | e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
    | e0 != op(op(e1,e1),op(e1,e1)) ),
    inference(pre_NNF_transformation,[status(esa)],[f27]) ).

fof(f192,plain,
    ( e3 != op(e1,e1)
    | e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
    | e0 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[status(esa)],[f191]) ).

fof(f193,plain,
    ( e3 != op(e2,e2)
    | e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | e1 != op(op(e2,e2),op(e2,e2)) ),
    inference(pre_NNF_transformation,[status(esa)],[f28]) ).

fof(f194,plain,
    ( e3 != op(e2,e2)
    | e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | e1 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[status(esa)],[f193]) ).

fof(f195,plain,
    ( e3 != op(e2,e2)
    | e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | e0 != op(op(e2,e2),op(e2,e2)) ),
    inference(pre_NNF_transformation,[status(esa)],[f29]) ).

fof(f196,plain,
    ( e3 != op(e2,e2)
    | e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | e0 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[status(esa)],[f195]) ).

fof(f197,plain,
    ( ~ pd0_0
    | ( 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,e0) != e0
        | op(e0,e0) = e0 )
      & ( op(e1,e1) != e0
        | op(e1,e0) = e1 )
      & ( op(e2,e2) != e0
        | op(e2,e0) = e2 )
      & ( op(e3,e3) != e0
        | op(e3,e0) = e3 ) )
    | ( 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(e0,e0) != e1
        | op(e0,e1) = e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) = e1 )
      & ( op(e2,e2) != e1
        | op(e2,e1) = e2 )
      & ( op(e3,e3) != e1
        | op(e3,e1) = e3 ) )
    | ( 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(e0,e0) != e2
        | op(e0,e2) = e0 )
      & ( op(e1,e1) != e2
        | op(e1,e2) = e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) = e2 )
      & ( op(e3,e3) != e2
        | op(e3,e2) = e3 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f132]) ).

fof(f198,plain,
    ( pd0_2
   => ( ( 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,e0) != e0
          | op(e0,e0) = e0 )
        & ( op(e1,e1) != e0
          | op(e1,e0) = e1 )
        & ( op(e2,e2) != e0
          | op(e2,e0) = e2 )
        & ( op(e3,e3) != e0
          | op(e3,e0) = e3 ) )
      | ( 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(e0,e0) != e1
          | op(e0,e1) = e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) = e1 )
        & ( op(e2,e2) != e1
          | op(e2,e1) = e2 )
        & ( op(e3,e3) != e1
          | op(e3,e1) = e3 ) ) ) ),
    introduced(predicate_definition,[f197]) ).

fof(f199,plain,
    ( ~ pd0_0
    | pd0_2
    | ( 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(e0,e0) != e2
        | op(e0,e2) = e0 )
      & ( op(e1,e1) != e2
        | op(e1,e2) = e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) = e2 )
      & ( op(e3,e3) != e2
        | op(e3,e2) = e3 ) ) ),
    inference(formula_renaming,[status(thm)],[f197,f198]) ).

fof(f200,plain,
    ( ~ pd0_0
    | pd0_2
    | op(e2,op(e2,e0)) = e0 ),
    inference(cnf_transformation,[status(esa)],[f199]) ).

fof(f201,plain,
    ( ~ pd0_0
    | pd0_2
    | op(e2,op(e2,e1)) = e1 ),
    inference(cnf_transformation,[status(esa)],[f199]) ).

fof(f202,plain,
    ( ~ pd0_0
    | pd0_2
    | op(e2,op(e2,e2)) = e2 ),
    inference(cnf_transformation,[status(esa)],[f199]) ).

fof(f204,plain,
    ( ~ pd0_0
    | pd0_2
    | op(e0,e0) != e2
    | op(e0,e2) = e0 ),
    inference(cnf_transformation,[status(esa)],[f199]) ).

fof(f205,plain,
    ( ~ pd0_0
    | pd0_2
    | op(e1,e1) != e2
    | op(e1,e2) = e1 ),
    inference(cnf_transformation,[status(esa)],[f199]) ).

fof(f207,plain,
    ( ~ pd0_0
    | pd0_2
    | op(e3,e3) != e2
    | op(e3,e2) = e3 ),
    inference(cnf_transformation,[status(esa)],[f199]) ).

fof(f208,plain,
    ( ~ pd0_1
    | ( op(e0,e0) = e0
      & op(e0,e0) = e0
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e0,e1) = e0
      & op(e1,e0) = e0
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e0,e2) = e0
      & op(e2,e0) = e0
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) )
    | ( op(e0,e3) = e0
      & op(e3,e0) = e0
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) )
    | ( op(e1,e0) = e1
      & op(e0,e1) = e1
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e1,e1) = e1
      & op(e1,e1) = e1
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e1,e2) = e1
      & op(e2,e1) = e1
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) )
    | ( op(e1,e3) = e1
      & op(e3,e1) = e1
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) )
    | ( op(e2,e0) = e2
      & op(e0,e2) = e2
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e2,e1) = e2
      & op(e1,e2) = e2
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e2,e2) = e2
      & op(e2,e2) = e2
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) )
    | ( op(e2,e3) = e2
      & op(e3,e2) = e2
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) )
    | ( op(e3,e0) = e3
      & op(e0,e3) = e3
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e3,e1) = e3
      & op(e1,e3) = e3
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e3,e2) = e3
      & op(e2,e3) = e3
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f133]) ).

fof(f209,plain,
    ( pd0_3
   => ( ( op(e0,e0) = e0
        & op(e0,e0) = e0
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e0,e1) = e0
        & op(e1,e0) = e0
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e0,e2) = e0
        & op(e2,e0) = e0
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) )
      | ( op(e0,e3) = e0
        & op(e3,e0) = e0
        & ( op(e3,e0) != e3
          | op(e3,e3) != e0 )
        & ( op(e3,e1) != e3
          | op(e3,e3) != e1 )
        & ( op(e3,e2) != e3
          | op(e3,e3) != e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) != e3 ) )
      | ( op(e1,e0) = e1
        & op(e0,e1) = e1
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e1,e1) = e1
        & op(e1,e1) = e1
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e1,e2) = e1
        & op(e2,e1) = e1
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) )
      | ( op(e1,e3) = e1
        & op(e3,e1) = e1
        & ( op(e3,e0) != e3
          | op(e3,e3) != e0 )
        & ( op(e3,e1) != e3
          | op(e3,e3) != e1 )
        & ( op(e3,e2) != e3
          | op(e3,e3) != e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) != e3 ) )
      | ( op(e2,e0) = e2
        & op(e0,e2) = e2
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e2,e1) = e2
        & op(e1,e2) = e2
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e2,e2) = e2
        & op(e2,e2) = e2
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) )
      | ( op(e2,e3) = e2
        & op(e3,e2) = e2
        & ( op(e3,e0) != e3
          | op(e3,e3) != e0 )
        & ( op(e3,e1) != e3
          | op(e3,e3) != e1 )
        & ( op(e3,e2) != e3
          | op(e3,e3) != e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) != e3 ) )
      | ( op(e3,e0) = e3
        & op(e0,e3) = e3
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e3,e1) = e3
        & op(e1,e3) = e3
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) ) ) ),
    introduced(predicate_definition,[f208]) ).

fof(f210,plain,
    ( ~ pd0_1
    | pd0_3
    | ( op(e3,e2) = e3
      & op(e2,e3) = e3
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) ) ),
    inference(formula_renaming,[status(thm)],[f208,f209]) ).

fof(f211,plain,
    ( ~ pd0_1
    | pd0_3
    | op(e3,e2) = e3 ),
    inference(cnf_transformation,[status(esa)],[f210]) ).

fof(f212,plain,
    ( ~ pd0_1
    | pd0_3
    | op(e2,e3) = e3 ),
    inference(cnf_transformation,[status(esa)],[f210]) ).

fof(f213,plain,
    ( ~ pd0_1
    | pd0_3
    | op(e2,e0) != e2
    | op(e2,e2) != e0 ),
    inference(cnf_transformation,[status(esa)],[f210]) ).

fof(f214,plain,
    ( ~ pd0_1
    | pd0_3
    | op(e2,e1) != e2
    | op(e2,e2) != e1 ),
    inference(cnf_transformation,[status(esa)],[f210]) ).

fof(f215,plain,
    ( ~ pd0_1
    | pd0_3
    | op(e2,e2) != e2
    | op(e2,e2) != e2 ),
    inference(cnf_transformation,[status(esa)],[f210]) ).

fof(f217,plain,
    ( ~ pd0_2
    | ( 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,e0) != e0
        | op(e0,e0) = e0 )
      & ( op(e1,e1) != e0
        | op(e1,e0) = e1 )
      & ( op(e2,e2) != e0
        | op(e2,e0) = e2 )
      & ( op(e3,e3) != e0
        | op(e3,e0) = e3 ) )
    | ( 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(e0,e0) != e1
        | op(e0,e1) = e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) = e1 )
      & ( op(e2,e2) != e1
        | op(e2,e1) = e2 )
      & ( op(e3,e3) != e1
        | op(e3,e1) = e3 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f198]) ).

fof(f218,plain,
    ( pd0_4
   => ( 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,e0) != e0
        | op(e0,e0) = e0 )
      & ( op(e1,e1) != e0
        | op(e1,e0) = e1 )
      & ( op(e2,e2) != e0
        | op(e2,e0) = e2 )
      & ( op(e3,e3) != e0
        | op(e3,e0) = e3 ) ) ),
    introduced(predicate_definition,[f217]) ).

fof(f219,plain,
    ( ~ pd0_2
    | pd0_4
    | ( 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(e0,e0) != e1
        | op(e0,e1) = e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) = e1 )
      & ( op(e2,e2) != e1
        | op(e2,e1) = e2 )
      & ( op(e3,e3) != e1
        | op(e3,e1) = e3 ) ) ),
    inference(formula_renaming,[status(thm)],[f217,f218]) ).

fof(f220,plain,
    ( ~ pd0_2
    | pd0_4
    | op(e1,op(e1,e0)) = e0 ),
    inference(cnf_transformation,[status(esa)],[f219]) ).

fof(f221,plain,
    ( ~ pd0_2
    | pd0_4
    | op(e1,op(e1,e1)) = e1 ),
    inference(cnf_transformation,[status(esa)],[f219]) ).

fof(f222,plain,
    ( ~ pd0_2
    | pd0_4
    | op(e1,op(e1,e2)) = e2 ),
    inference(cnf_transformation,[status(esa)],[f219]) ).

fof(f223,plain,
    ( ~ pd0_2
    | pd0_4
    | op(e1,op(e1,e3)) = e3 ),
    inference(cnf_transformation,[status(esa)],[f219]) ).

fof(f224,plain,
    ( ~ pd0_2
    | pd0_4
    | op(e0,e0) != e1
    | op(e0,e1) = e0 ),
    inference(cnf_transformation,[status(esa)],[f219]) ).

fof(f226,plain,
    ( ~ pd0_2
    | pd0_4
    | op(e2,e2) != e1
    | op(e2,e1) = e2 ),
    inference(cnf_transformation,[status(esa)],[f219]) ).

fof(f227,plain,
    ( ~ pd0_2
    | pd0_4
    | op(e3,e3) != e1
    | op(e3,e1) = e3 ),
    inference(cnf_transformation,[status(esa)],[f219]) ).

fof(f228,plain,
    ( ~ pd0_3
    | ( op(e0,e0) = e0
      & op(e0,e0) = e0
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e0,e1) = e0
      & op(e1,e0) = e0
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e0,e2) = e0
      & op(e2,e0) = e0
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) )
    | ( op(e0,e3) = e0
      & op(e3,e0) = e0
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) )
    | ( op(e1,e0) = e1
      & op(e0,e1) = e1
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e1,e1) = e1
      & op(e1,e1) = e1
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e1,e2) = e1
      & op(e2,e1) = e1
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) )
    | ( op(e1,e3) = e1
      & op(e3,e1) = e1
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) )
    | ( op(e2,e0) = e2
      & op(e0,e2) = e2
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e2,e1) = e2
      & op(e1,e2) = e2
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e2,e2) = e2
      & op(e2,e2) = e2
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) )
    | ( op(e2,e3) = e2
      & op(e3,e2) = e2
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) )
    | ( op(e3,e0) = e3
      & op(e0,e3) = e3
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e3,e1) = e3
      & op(e1,e3) = e3
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f209]) ).

fof(f229,plain,
    ( pd0_5
   => ( ( op(e0,e0) = e0
        & op(e0,e0) = e0
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e0,e1) = e0
        & op(e1,e0) = e0
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e0,e2) = e0
        & op(e2,e0) = e0
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) )
      | ( op(e0,e3) = e0
        & op(e3,e0) = e0
        & ( op(e3,e0) != e3
          | op(e3,e3) != e0 )
        & ( op(e3,e1) != e3
          | op(e3,e3) != e1 )
        & ( op(e3,e2) != e3
          | op(e3,e3) != e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) != e3 ) )
      | ( op(e1,e0) = e1
        & op(e0,e1) = e1
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e1,e1) = e1
        & op(e1,e1) = e1
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e1,e2) = e1
        & op(e2,e1) = e1
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) )
      | ( op(e1,e3) = e1
        & op(e3,e1) = e1
        & ( op(e3,e0) != e3
          | op(e3,e3) != e0 )
        & ( op(e3,e1) != e3
          | op(e3,e3) != e1 )
        & ( op(e3,e2) != e3
          | op(e3,e3) != e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) != e3 ) )
      | ( op(e2,e0) = e2
        & op(e0,e2) = e2
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e2,e1) = e2
        & op(e1,e2) = e2
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e2,e2) = e2
        & op(e2,e2) = e2
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) )
      | ( op(e2,e3) = e2
        & op(e3,e2) = e2
        & ( op(e3,e0) != e3
          | op(e3,e3) != e0 )
        & ( op(e3,e1) != e3
          | op(e3,e3) != e1 )
        & ( op(e3,e2) != e3
          | op(e3,e3) != e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) != e3 ) )
      | ( op(e3,e0) = e3
        & op(e0,e3) = e3
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) ) ) ),
    introduced(predicate_definition,[f228]) ).

fof(f230,plain,
    ( ~ pd0_3
    | pd0_5
    | ( op(e3,e1) = e3
      & op(e1,e3) = e3
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) ) ),
    inference(formula_renaming,[status(thm)],[f228,f229]) ).

fof(f231,plain,
    ( ~ pd0_3
    | pd0_5
    | op(e3,e1) = e3 ),
    inference(cnf_transformation,[status(esa)],[f230]) ).

fof(f232,plain,
    ( ~ pd0_3
    | pd0_5
    | op(e1,e3) = e3 ),
    inference(cnf_transformation,[status(esa)],[f230]) ).

fof(f233,plain,
    ( ~ pd0_3
    | pd0_5
    | op(e1,e0) != e1
    | op(e1,e1) != e0 ),
    inference(cnf_transformation,[status(esa)],[f230]) ).

fof(f234,plain,
    ( ~ pd0_3
    | pd0_5
    | op(e1,e1) != e1
    | op(e1,e1) != e1 ),
    inference(cnf_transformation,[status(esa)],[f230]) ).

fof(f235,plain,
    ( ~ pd0_3
    | pd0_5
    | op(e1,e2) != e1
    | op(e1,e1) != e2 ),
    inference(cnf_transformation,[status(esa)],[f230]) ).

fof(f237,plain,
    ( ~ pd0_4
    | ( 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,e0) != e0
        | op(e0,e0) = e0 )
      & ( op(e1,e1) != e0
        | op(e1,e0) = e1 )
      & ( op(e2,e2) != e0
        | op(e2,e0) = e2 )
      & ( op(e3,e3) != e0
        | op(e3,e0) = e3 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f218]) ).

fof(f238,plain,
    ( ~ pd0_4
    | op(e0,op(e0,e0)) = e0 ),
    inference(cnf_transformation,[status(esa)],[f237]) ).

fof(f239,plain,
    ( ~ pd0_4
    | op(e0,op(e0,e1)) = e1 ),
    inference(cnf_transformation,[status(esa)],[f237]) ).

fof(f240,plain,
    ( ~ pd0_4
    | op(e0,op(e0,e2)) = e2 ),
    inference(cnf_transformation,[status(esa)],[f237]) ).

fof(f241,plain,
    ( ~ pd0_4
    | op(e0,op(e0,e3)) = e3 ),
    inference(cnf_transformation,[status(esa)],[f237]) ).

fof(f243,plain,
    ( ~ pd0_4
    | op(e1,e1) != e0
    | op(e1,e0) = e1 ),
    inference(cnf_transformation,[status(esa)],[f237]) ).

fof(f244,plain,
    ( ~ pd0_4
    | op(e2,e2) != e0
    | op(e2,e0) = e2 ),
    inference(cnf_transformation,[status(esa)],[f237]) ).

fof(f245,plain,
    ( ~ pd0_4
    | op(e3,e3) != e0
    | op(e3,e0) = e3 ),
    inference(cnf_transformation,[status(esa)],[f237]) ).

fof(f246,plain,
    ( ~ pd0_5
    | ( op(e0,e0) = e0
      & op(e0,e0) = e0
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e0,e1) = e0
      & op(e1,e0) = e0
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e0,e2) = e0
      & op(e2,e0) = e0
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) )
    | ( op(e0,e3) = e0
      & op(e3,e0) = e0
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) )
    | ( op(e1,e0) = e1
      & op(e0,e1) = e1
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e1,e1) = e1
      & op(e1,e1) = e1
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e1,e2) = e1
      & op(e2,e1) = e1
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) )
    | ( op(e1,e3) = e1
      & op(e3,e1) = e1
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) )
    | ( op(e2,e0) = e2
      & op(e0,e2) = e2
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e2,e1) = e2
      & op(e1,e2) = e2
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e2,e2) = e2
      & op(e2,e2) = e2
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) )
    | ( op(e2,e3) = e2
      & op(e3,e2) = e2
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) )
    | ( op(e3,e0) = e3
      & op(e0,e3) = e3
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f229]) ).

fof(f247,plain,
    ( pd0_6
   => ( ( op(e0,e0) = e0
        & op(e0,e0) = e0
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e0,e1) = e0
        & op(e1,e0) = e0
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e0,e2) = e0
        & op(e2,e0) = e0
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) )
      | ( op(e0,e3) = e0
        & op(e3,e0) = e0
        & ( op(e3,e0) != e3
          | op(e3,e3) != e0 )
        & ( op(e3,e1) != e3
          | op(e3,e3) != e1 )
        & ( op(e3,e2) != e3
          | op(e3,e3) != e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) != e3 ) )
      | ( op(e1,e0) = e1
        & op(e0,e1) = e1
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e1,e1) = e1
        & op(e1,e1) = e1
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e1,e2) = e1
        & op(e2,e1) = e1
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) )
      | ( op(e1,e3) = e1
        & op(e3,e1) = e1
        & ( op(e3,e0) != e3
          | op(e3,e3) != e0 )
        & ( op(e3,e1) != e3
          | op(e3,e3) != e1 )
        & ( op(e3,e2) != e3
          | op(e3,e3) != e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) != e3 ) )
      | ( op(e2,e0) = e2
        & op(e0,e2) = e2
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e2,e1) = e2
        & op(e1,e2) = e2
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e2,e2) = e2
        & op(e2,e2) = e2
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) )
      | ( op(e2,e3) = e2
        & op(e3,e2) = e2
        & ( op(e3,e0) != e3
          | op(e3,e3) != e0 )
        & ( op(e3,e1) != e3
          | op(e3,e3) != e1 )
        & ( op(e3,e2) != e3
          | op(e3,e3) != e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) != e3 ) ) ) ),
    introduced(predicate_definition,[f246]) ).

fof(f248,plain,
    ( ~ pd0_5
    | pd0_6
    | ( op(e3,e0) = e3
      & op(e0,e3) = e3
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) ) ),
    inference(formula_renaming,[status(thm)],[f246,f247]) ).

fof(f249,plain,
    ( ~ pd0_5
    | pd0_6
    | op(e3,e0) = e3 ),
    inference(cnf_transformation,[status(esa)],[f248]) ).

fof(f250,plain,
    ( ~ pd0_5
    | pd0_6
    | op(e0,e3) = e3 ),
    inference(cnf_transformation,[status(esa)],[f248]) ).

fof(f251,plain,
    ( ~ pd0_5
    | pd0_6
    | op(e0,e0) != e0
    | op(e0,e0) != e0 ),
    inference(cnf_transformation,[status(esa)],[f248]) ).

fof(f252,plain,
    ( ~ pd0_5
    | pd0_6
    | op(e0,e1) != e0
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[status(esa)],[f248]) ).

fof(f253,plain,
    ( ~ pd0_5
    | pd0_6
    | op(e0,e2) != e0
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[status(esa)],[f248]) ).

fof(f254,plain,
    ( ~ pd0_5
    | pd0_6
    | op(e0,e3) != e0
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[status(esa)],[f248]) ).

fof(f255,plain,
    ( ~ pd0_6
    | ( op(e0,e0) = e0
      & op(e0,e0) = e0
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e0,e1) = e0
      & op(e1,e0) = e0
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e0,e2) = e0
      & op(e2,e0) = e0
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) )
    | ( op(e0,e3) = e0
      & op(e3,e0) = e0
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) )
    | ( op(e1,e0) = e1
      & op(e0,e1) = e1
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e1,e1) = e1
      & op(e1,e1) = e1
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e1,e2) = e1
      & op(e2,e1) = e1
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) )
    | ( op(e1,e3) = e1
      & op(e3,e1) = e1
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) )
    | ( op(e2,e0) = e2
      & op(e0,e2) = e2
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e2,e1) = e2
      & op(e1,e2) = e2
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e2,e2) = e2
      & op(e2,e2) = e2
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) )
    | ( op(e2,e3) = e2
      & op(e3,e2) = e2
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f247]) ).

fof(f256,plain,
    ( pd0_7
   => ( ( op(e0,e0) = e0
        & op(e0,e0) = e0
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e0,e1) = e0
        & op(e1,e0) = e0
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e0,e2) = e0
        & op(e2,e0) = e0
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) )
      | ( op(e0,e3) = e0
        & op(e3,e0) = e0
        & ( op(e3,e0) != e3
          | op(e3,e3) != e0 )
        & ( op(e3,e1) != e3
          | op(e3,e3) != e1 )
        & ( op(e3,e2) != e3
          | op(e3,e3) != e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) != e3 ) )
      | ( op(e1,e0) = e1
        & op(e0,e1) = e1
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e1,e1) = e1
        & op(e1,e1) = e1
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e1,e2) = e1
        & op(e2,e1) = e1
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) )
      | ( op(e1,e3) = e1
        & op(e3,e1) = e1
        & ( op(e3,e0) != e3
          | op(e3,e3) != e0 )
        & ( op(e3,e1) != e3
          | op(e3,e3) != e1 )
        & ( op(e3,e2) != e3
          | op(e3,e3) != e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) != e3 ) )
      | ( op(e2,e0) = e2
        & op(e0,e2) = e2
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e2,e1) = e2
        & op(e1,e2) = e2
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e2,e2) = e2
        & op(e2,e2) = e2
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) ) ) ),
    introduced(predicate_definition,[f255]) ).

fof(f257,plain,
    ( ~ pd0_6
    | pd0_7
    | ( op(e2,e3) = e2
      & op(e3,e2) = e2
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) ) ),
    inference(formula_renaming,[status(thm)],[f255,f256]) ).

fof(f258,plain,
    ( ~ pd0_6
    | pd0_7
    | op(e2,e3) = e2 ),
    inference(cnf_transformation,[status(esa)],[f257]) ).

fof(f259,plain,
    ( ~ pd0_6
    | pd0_7
    | op(e3,e2) = e2 ),
    inference(cnf_transformation,[status(esa)],[f257]) ).

fof(f260,plain,
    ( ~ pd0_6
    | pd0_7
    | op(e3,e0) != e3
    | op(e3,e3) != e0 ),
    inference(cnf_transformation,[status(esa)],[f257]) ).

fof(f261,plain,
    ( ~ pd0_6
    | pd0_7
    | op(e3,e1) != e3
    | op(e3,e3) != e1 ),
    inference(cnf_transformation,[status(esa)],[f257]) ).

fof(f263,plain,
    ( ~ pd0_6
    | pd0_7
    | op(e3,e3) != e3
    | op(e3,e3) != e3 ),
    inference(cnf_transformation,[status(esa)],[f257]) ).

fof(f264,plain,
    ( ~ pd0_7
    | ( op(e0,e0) = e0
      & op(e0,e0) = e0
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e0,e1) = e0
      & op(e1,e0) = e0
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e0,e2) = e0
      & op(e2,e0) = e0
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) )
    | ( op(e0,e3) = e0
      & op(e3,e0) = e0
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) )
    | ( op(e1,e0) = e1
      & op(e0,e1) = e1
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e1,e1) = e1
      & op(e1,e1) = e1
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e1,e2) = e1
      & op(e2,e1) = e1
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) )
    | ( op(e1,e3) = e1
      & op(e3,e1) = e1
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) )
    | ( op(e2,e0) = e2
      & op(e0,e2) = e2
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e2,e1) = e2
      & op(e1,e2) = e2
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e2,e2) = e2
      & op(e2,e2) = e2
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f256]) ).

fof(f265,plain,
    ( pd0_8
   => ( ( op(e0,e0) = e0
        & op(e0,e0) = e0
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e0,e1) = e0
        & op(e1,e0) = e0
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e0,e2) = e0
        & op(e2,e0) = e0
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) )
      | ( op(e0,e3) = e0
        & op(e3,e0) = e0
        & ( op(e3,e0) != e3
          | op(e3,e3) != e0 )
        & ( op(e3,e1) != e3
          | op(e3,e3) != e1 )
        & ( op(e3,e2) != e3
          | op(e3,e3) != e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) != e3 ) )
      | ( op(e1,e0) = e1
        & op(e0,e1) = e1
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e1,e1) = e1
        & op(e1,e1) = e1
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e1,e2) = e1
        & op(e2,e1) = e1
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) )
      | ( op(e1,e3) = e1
        & op(e3,e1) = e1
        & ( op(e3,e0) != e3
          | op(e3,e3) != e0 )
        & ( op(e3,e1) != e3
          | op(e3,e3) != e1 )
        & ( op(e3,e2) != e3
          | op(e3,e3) != e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) != e3 ) )
      | ( op(e2,e0) = e2
        & op(e0,e2) = e2
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e2,e1) = e2
        & op(e1,e2) = e2
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) ) ) ),
    introduced(predicate_definition,[f264]) ).

fof(f266,plain,
    ( ~ pd0_7
    | pd0_8
    | ( op(e2,e2) = e2
      & op(e2,e2) = e2
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) ) ),
    inference(formula_renaming,[status(thm)],[f264,f265]) ).

fof(f267,plain,
    ( ~ pd0_7
    | pd0_8
    | op(e2,e2) = e2 ),
    inference(cnf_transformation,[status(esa)],[f266]) ).

fof(f271,plain,
    ( ~ pd0_7
    | pd0_8
    | op(e2,e2) != e2
    | op(e2,e2) != e2 ),
    inference(cnf_transformation,[status(esa)],[f266]) ).

fof(f273,plain,
    ( ~ pd0_8
    | ( op(e0,e0) = e0
      & op(e0,e0) = e0
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e0,e1) = e0
      & op(e1,e0) = e0
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e0,e2) = e0
      & op(e2,e0) = e0
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) )
    | ( op(e0,e3) = e0
      & op(e3,e0) = e0
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) )
    | ( op(e1,e0) = e1
      & op(e0,e1) = e1
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e1,e1) = e1
      & op(e1,e1) = e1
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e1,e2) = e1
      & op(e2,e1) = e1
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) )
    | ( op(e1,e3) = e1
      & op(e3,e1) = e1
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) )
    | ( op(e2,e0) = e2
      & op(e0,e2) = e2
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e2,e1) = e2
      & op(e1,e2) = e2
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f265]) ).

fof(f274,plain,
    ( pd0_9
   => ( ( op(e0,e0) = e0
        & op(e0,e0) = e0
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e0,e1) = e0
        & op(e1,e0) = e0
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e0,e2) = e0
        & op(e2,e0) = e0
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) )
      | ( op(e0,e3) = e0
        & op(e3,e0) = e0
        & ( op(e3,e0) != e3
          | op(e3,e3) != e0 )
        & ( op(e3,e1) != e3
          | op(e3,e3) != e1 )
        & ( op(e3,e2) != e3
          | op(e3,e3) != e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) != e3 ) )
      | ( op(e1,e0) = e1
        & op(e0,e1) = e1
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e1,e1) = e1
        & op(e1,e1) = e1
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e1,e2) = e1
        & op(e2,e1) = e1
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) )
      | ( op(e1,e3) = e1
        & op(e3,e1) = e1
        & ( op(e3,e0) != e3
          | op(e3,e3) != e0 )
        & ( op(e3,e1) != e3
          | op(e3,e3) != e1 )
        & ( op(e3,e2) != e3
          | op(e3,e3) != e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) != e3 ) )
      | ( op(e2,e0) = e2
        & op(e0,e2) = e2
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) ) ) ),
    introduced(predicate_definition,[f273]) ).

fof(f275,plain,
    ( ~ pd0_8
    | pd0_9
    | ( op(e2,e1) = e2
      & op(e1,e2) = e2
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) ) ),
    inference(formula_renaming,[status(thm)],[f273,f274]) ).

fof(f276,plain,
    ( ~ pd0_8
    | pd0_9
    | op(e2,e1) = e2 ),
    inference(cnf_transformation,[status(esa)],[f275]) ).

fof(f277,plain,
    ( ~ pd0_8
    | pd0_9
    | op(e1,e2) = e2 ),
    inference(cnf_transformation,[status(esa)],[f275]) ).

fof(f278,plain,
    ( ~ pd0_8
    | pd0_9
    | op(e1,e0) != e1
    | op(e1,e1) != e0 ),
    inference(cnf_transformation,[status(esa)],[f275]) ).

fof(f279,plain,
    ( ~ pd0_8
    | pd0_9
    | op(e1,e1) != e1
    | op(e1,e1) != e1 ),
    inference(cnf_transformation,[status(esa)],[f275]) ).

fof(f281,plain,
    ( ~ pd0_8
    | pd0_9
    | op(e1,e3) != e1
    | op(e1,e1) != e3 ),
    inference(cnf_transformation,[status(esa)],[f275]) ).

fof(f282,plain,
    ( ~ pd0_9
    | ( op(e0,e0) = e0
      & op(e0,e0) = e0
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e0,e1) = e0
      & op(e1,e0) = e0
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e0,e2) = e0
      & op(e2,e0) = e0
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) )
    | ( op(e0,e3) = e0
      & op(e3,e0) = e0
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) )
    | ( op(e1,e0) = e1
      & op(e0,e1) = e1
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e1,e1) = e1
      & op(e1,e1) = e1
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e1,e2) = e1
      & op(e2,e1) = e1
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) )
    | ( op(e1,e3) = e1
      & op(e3,e1) = e1
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) )
    | ( op(e2,e0) = e2
      & op(e0,e2) = e2
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f274]) ).

fof(f283,plain,
    ( pd0_10
   => ( ( op(e0,e0) = e0
        & op(e0,e0) = e0
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e0,e1) = e0
        & op(e1,e0) = e0
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e0,e2) = e0
        & op(e2,e0) = e0
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) )
      | ( op(e0,e3) = e0
        & op(e3,e0) = e0
        & ( op(e3,e0) != e3
          | op(e3,e3) != e0 )
        & ( op(e3,e1) != e3
          | op(e3,e3) != e1 )
        & ( op(e3,e2) != e3
          | op(e3,e3) != e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) != e3 ) )
      | ( op(e1,e0) = e1
        & op(e0,e1) = e1
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e1,e1) = e1
        & op(e1,e1) = e1
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e1,e2) = e1
        & op(e2,e1) = e1
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) )
      | ( op(e1,e3) = e1
        & op(e3,e1) = e1
        & ( op(e3,e0) != e3
          | op(e3,e3) != e0 )
        & ( op(e3,e1) != e3
          | op(e3,e3) != e1 )
        & ( op(e3,e2) != e3
          | op(e3,e3) != e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) != e3 ) ) ) ),
    introduced(predicate_definition,[f282]) ).

fof(f284,plain,
    ( ~ pd0_9
    | pd0_10
    | ( op(e2,e0) = e2
      & op(e0,e2) = e2
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) ) ),
    inference(formula_renaming,[status(thm)],[f282,f283]) ).

fof(f285,plain,
    ( ~ pd0_9
    | pd0_10
    | op(e2,e0) = e2 ),
    inference(cnf_transformation,[status(esa)],[f284]) ).

fof(f286,plain,
    ( ~ pd0_9
    | pd0_10
    | op(e0,e2) = e2 ),
    inference(cnf_transformation,[status(esa)],[f284]) ).

fof(f287,plain,
    ( ~ pd0_9
    | pd0_10
    | op(e0,e0) != e0
    | op(e0,e0) != e0 ),
    inference(cnf_transformation,[status(esa)],[f284]) ).

fof(f288,plain,
    ( ~ pd0_9
    | pd0_10
    | op(e0,e1) != e0
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[status(esa)],[f284]) ).

fof(f290,plain,
    ( ~ pd0_9
    | pd0_10
    | op(e0,e3) != e0
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[status(esa)],[f284]) ).

fof(f291,plain,
    ( ~ pd0_10
    | ( op(e0,e0) = e0
      & op(e0,e0) = e0
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e0,e1) = e0
      & op(e1,e0) = e0
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e0,e2) = e0
      & op(e2,e0) = e0
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) )
    | ( op(e0,e3) = e0
      & op(e3,e0) = e0
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) )
    | ( op(e1,e0) = e1
      & op(e0,e1) = e1
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e1,e1) = e1
      & op(e1,e1) = e1
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e1,e2) = e1
      & op(e2,e1) = e1
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) )
    | ( op(e1,e3) = e1
      & op(e3,e1) = e1
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f283]) ).

fof(f292,plain,
    ( pd0_11
   => ( ( op(e0,e0) = e0
        & op(e0,e0) = e0
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e0,e1) = e0
        & op(e1,e0) = e0
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e0,e2) = e0
        & op(e2,e0) = e0
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) )
      | ( op(e0,e3) = e0
        & op(e3,e0) = e0
        & ( op(e3,e0) != e3
          | op(e3,e3) != e0 )
        & ( op(e3,e1) != e3
          | op(e3,e3) != e1 )
        & ( op(e3,e2) != e3
          | op(e3,e3) != e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) != e3 ) )
      | ( op(e1,e0) = e1
        & op(e0,e1) = e1
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e1,e1) = e1
        & op(e1,e1) = e1
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e1,e2) = e1
        & op(e2,e1) = e1
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) ) ) ),
    introduced(predicate_definition,[f291]) ).

fof(f293,plain,
    ( ~ pd0_10
    | pd0_11
    | ( op(e1,e3) = e1
      & op(e3,e1) = e1
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) ) ),
    inference(formula_renaming,[status(thm)],[f291,f292]) ).

fof(f294,plain,
    ( ~ pd0_10
    | pd0_11
    | op(e1,e3) = e1 ),
    inference(cnf_transformation,[status(esa)],[f293]) ).

fof(f295,plain,
    ( ~ pd0_10
    | pd0_11
    | op(e3,e1) = e1 ),
    inference(cnf_transformation,[status(esa)],[f293]) ).

fof(f296,plain,
    ( ~ pd0_10
    | pd0_11
    | op(e3,e0) != e3
    | op(e3,e3) != e0 ),
    inference(cnf_transformation,[status(esa)],[f293]) ).

fof(f298,plain,
    ( ~ pd0_10
    | pd0_11
    | op(e3,e2) != e3
    | op(e3,e3) != e2 ),
    inference(cnf_transformation,[status(esa)],[f293]) ).

fof(f299,plain,
    ( ~ pd0_10
    | pd0_11
    | op(e3,e3) != e3
    | op(e3,e3) != e3 ),
    inference(cnf_transformation,[status(esa)],[f293]) ).

fof(f300,plain,
    ( ~ pd0_11
    | ( op(e0,e0) = e0
      & op(e0,e0) = e0
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e0,e1) = e0
      & op(e1,e0) = e0
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e0,e2) = e0
      & op(e2,e0) = e0
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) )
    | ( op(e0,e3) = e0
      & op(e3,e0) = e0
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) )
    | ( op(e1,e0) = e1
      & op(e0,e1) = e1
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e1,e1) = e1
      & op(e1,e1) = e1
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e1,e2) = e1
      & op(e2,e1) = e1
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f292]) ).

fof(f301,plain,
    ( pd0_12
   => ( ( op(e0,e0) = e0
        & op(e0,e0) = e0
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e0,e1) = e0
        & op(e1,e0) = e0
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e0,e2) = e0
        & op(e2,e0) = e0
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) )
      | ( op(e0,e3) = e0
        & op(e3,e0) = e0
        & ( op(e3,e0) != e3
          | op(e3,e3) != e0 )
        & ( op(e3,e1) != e3
          | op(e3,e3) != e1 )
        & ( op(e3,e2) != e3
          | op(e3,e3) != e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) != e3 ) )
      | ( op(e1,e0) = e1
        & op(e0,e1) = e1
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e1,e1) = e1
        & op(e1,e1) = e1
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) ) ) ),
    introduced(predicate_definition,[f300]) ).

fof(f302,plain,
    ( ~ pd0_11
    | pd0_12
    | ( op(e1,e2) = e1
      & op(e2,e1) = e1
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) ) ),
    inference(formula_renaming,[status(thm)],[f300,f301]) ).

fof(f303,plain,
    ( ~ pd0_11
    | pd0_12
    | op(e1,e2) = e1 ),
    inference(cnf_transformation,[status(esa)],[f302]) ).

fof(f304,plain,
    ( ~ pd0_11
    | pd0_12
    | op(e2,e1) = e1 ),
    inference(cnf_transformation,[status(esa)],[f302]) ).

fof(f305,plain,
    ( ~ pd0_11
    | pd0_12
    | op(e2,e0) != e2
    | op(e2,e2) != e0 ),
    inference(cnf_transformation,[status(esa)],[f302]) ).

fof(f307,plain,
    ( ~ pd0_11
    | pd0_12
    | op(e2,e2) != e2
    | op(e2,e2) != e2 ),
    inference(cnf_transformation,[status(esa)],[f302]) ).

fof(f308,plain,
    ( ~ pd0_11
    | pd0_12
    | op(e2,e3) != e2
    | op(e2,e2) != e3 ),
    inference(cnf_transformation,[status(esa)],[f302]) ).

fof(f309,plain,
    ( ~ pd0_12
    | ( op(e0,e0) = e0
      & op(e0,e0) = e0
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e0,e1) = e0
      & op(e1,e0) = e0
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e0,e2) = e0
      & op(e2,e0) = e0
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) )
    | ( op(e0,e3) = e0
      & op(e3,e0) = e0
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) )
    | ( op(e1,e0) = e1
      & op(e0,e1) = e1
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e1,e1) = e1
      & op(e1,e1) = e1
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f301]) ).

fof(f310,plain,
    ( pd0_13
   => ( ( op(e0,e0) = e0
        & op(e0,e0) = e0
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e0,e1) = e0
        & op(e1,e0) = e0
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e0,e2) = e0
        & op(e2,e0) = e0
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) )
      | ( op(e0,e3) = e0
        & op(e3,e0) = e0
        & ( op(e3,e0) != e3
          | op(e3,e3) != e0 )
        & ( op(e3,e1) != e3
          | op(e3,e3) != e1 )
        & ( op(e3,e2) != e3
          | op(e3,e3) != e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) != e3 ) )
      | ( op(e1,e0) = e1
        & op(e0,e1) = e1
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) ) ) ),
    introduced(predicate_definition,[f309]) ).

fof(f311,plain,
    ( ~ pd0_12
    | pd0_13
    | ( op(e1,e1) = e1
      & op(e1,e1) = e1
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) ) ),
    inference(formula_renaming,[status(thm)],[f309,f310]) ).

fof(f312,plain,
    ( ~ pd0_12
    | pd0_13
    | op(e1,e1) = e1 ),
    inference(cnf_transformation,[status(esa)],[f311]) ).

fof(f314,plain,
    ( ~ pd0_12
    | pd0_13
    | op(e1,e0) != e1
    | op(e1,e1) != e0 ),
    inference(cnf_transformation,[status(esa)],[f311]) ).

fof(f315,plain,
    ( ~ pd0_12
    | pd0_13
    | op(e1,e1) != e1
    | op(e1,e1) != e1 ),
    inference(cnf_transformation,[status(esa)],[f311]) ).

fof(f317,plain,
    ( ~ pd0_12
    | pd0_13
    | op(e1,e3) != e1
    | op(e1,e1) != e3 ),
    inference(cnf_transformation,[status(esa)],[f311]) ).

fof(f318,plain,
    ( ~ pd0_13
    | ( op(e0,e0) = e0
      & op(e0,e0) = e0
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e0,e1) = e0
      & op(e1,e0) = e0
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e0,e2) = e0
      & op(e2,e0) = e0
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) )
    | ( op(e0,e3) = e0
      & op(e3,e0) = e0
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) )
    | ( op(e1,e0) = e1
      & op(e0,e1) = e1
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f310]) ).

fof(f319,plain,
    ( pd0_14
   => ( ( op(e0,e0) = e0
        & op(e0,e0) = e0
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e0,e1) = e0
        & op(e1,e0) = e0
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e0,e2) = e0
        & op(e2,e0) = e0
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) )
      | ( op(e0,e3) = e0
        & op(e3,e0) = e0
        & ( op(e3,e0) != e3
          | op(e3,e3) != e0 )
        & ( op(e3,e1) != e3
          | op(e3,e3) != e1 )
        & ( op(e3,e2) != e3
          | op(e3,e3) != e2 )
        & ( op(e3,e3) != e3
          | op(e3,e3) != e3 ) ) ) ),
    introduced(predicate_definition,[f318]) ).

fof(f320,plain,
    ( ~ pd0_13
    | pd0_14
    | ( op(e1,e0) = e1
      & op(e0,e1) = e1
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) ) ),
    inference(formula_renaming,[status(thm)],[f318,f319]) ).

fof(f321,plain,
    ( ~ pd0_13
    | pd0_14
    | op(e1,e0) = e1 ),
    inference(cnf_transformation,[status(esa)],[f320]) ).

fof(f322,plain,
    ( ~ pd0_13
    | pd0_14
    | op(e0,e1) = e1 ),
    inference(cnf_transformation,[status(esa)],[f320]) ).

fof(f323,plain,
    ( ~ pd0_13
    | pd0_14
    | op(e0,e0) != e0
    | op(e0,e0) != e0 ),
    inference(cnf_transformation,[status(esa)],[f320]) ).

fof(f325,plain,
    ( ~ pd0_13
    | pd0_14
    | op(e0,e2) != e0
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[status(esa)],[f320]) ).

fof(f326,plain,
    ( ~ pd0_13
    | pd0_14
    | op(e0,e3) != e0
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[status(esa)],[f320]) ).

fof(f327,plain,
    ( ~ pd0_14
    | ( op(e0,e0) = e0
      & op(e0,e0) = e0
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e0,e1) = e0
      & op(e1,e0) = e0
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e0,e2) = e0
      & op(e2,e0) = e0
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) )
    | ( op(e0,e3) = e0
      & op(e3,e0) = e0
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f319]) ).

fof(f328,plain,
    ( pd0_15
   => ( ( op(e0,e0) = e0
        & op(e0,e0) = e0
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e0,e1) = e0
        & op(e1,e0) = e0
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) )
      | ( op(e0,e2) = e0
        & op(e2,e0) = e0
        & ( op(e2,e0) != e2
          | op(e2,e2) != e0 )
        & ( op(e2,e1) != e2
          | op(e2,e2) != e1 )
        & ( op(e2,e2) != e2
          | op(e2,e2) != e2 )
        & ( op(e2,e3) != e2
          | op(e2,e2) != e3 ) ) ) ),
    introduced(predicate_definition,[f327]) ).

fof(f329,plain,
    ( ~ pd0_14
    | pd0_15
    | ( op(e0,e3) = e0
      & op(e3,e0) = e0
      & ( op(e3,e0) != e3
        | op(e3,e3) != e0 )
      & ( op(e3,e1) != e3
        | op(e3,e3) != e1 )
      & ( op(e3,e2) != e3
        | op(e3,e3) != e2 )
      & ( op(e3,e3) != e3
        | op(e3,e3) != e3 ) ) ),
    inference(formula_renaming,[status(thm)],[f327,f328]) ).

fof(f330,plain,
    ( ~ pd0_14
    | pd0_15
    | op(e0,e3) = e0 ),
    inference(cnf_transformation,[status(esa)],[f329]) ).

fof(f331,plain,
    ( ~ pd0_14
    | pd0_15
    | op(e3,e0) = e0 ),
    inference(cnf_transformation,[status(esa)],[f329]) ).

fof(f332,plain,
    ( ~ pd0_14
    | pd0_15
    | op(e3,e0) != e3
    | op(e3,e3) != e0 ),
    inference(cnf_transformation,[status(esa)],[f329]) ).

fof(f333,plain,
    ( ~ pd0_14
    | pd0_15
    | op(e3,e1) != e3
    | op(e3,e3) != e1 ),
    inference(cnf_transformation,[status(esa)],[f329]) ).

fof(f334,plain,
    ( ~ pd0_14
    | pd0_15
    | op(e3,e2) != e3
    | op(e3,e3) != e2 ),
    inference(cnf_transformation,[status(esa)],[f329]) ).

fof(f335,plain,
    ( ~ pd0_14
    | pd0_15
    | op(e3,e3) != e3
    | op(e3,e3) != e3 ),
    inference(cnf_transformation,[status(esa)],[f329]) ).

fof(f336,plain,
    ( ~ pd0_15
    | ( op(e0,e0) = e0
      & op(e0,e0) = e0
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e0,e1) = e0
      & op(e1,e0) = e0
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) )
    | ( op(e0,e2) = e0
      & op(e2,e0) = e0
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f328]) ).

fof(f337,plain,
    ( pd0_16
   => ( ( op(e0,e0) = e0
        & op(e0,e0) = e0
        & ( op(e0,e0) != e0
          | op(e0,e0) != e0 )
        & ( op(e0,e1) != e0
          | op(e0,e0) != e1 )
        & ( op(e0,e2) != e0
          | op(e0,e0) != e2 )
        & ( op(e0,e3) != e0
          | op(e0,e0) != e3 ) )
      | ( op(e0,e1) = e0
        & op(e1,e0) = e0
        & ( op(e1,e0) != e1
          | op(e1,e1) != e0 )
        & ( op(e1,e1) != e1
          | op(e1,e1) != e1 )
        & ( op(e1,e2) != e1
          | op(e1,e1) != e2 )
        & ( op(e1,e3) != e1
          | op(e1,e1) != e3 ) ) ) ),
    introduced(predicate_definition,[f336]) ).

fof(f338,plain,
    ( ~ pd0_15
    | pd0_16
    | ( op(e0,e2) = e0
      & op(e2,e0) = e0
      & ( op(e2,e0) != e2
        | op(e2,e2) != e0 )
      & ( op(e2,e1) != e2
        | op(e2,e2) != e1 )
      & ( op(e2,e2) != e2
        | op(e2,e2) != e2 )
      & ( op(e2,e3) != e2
        | op(e2,e2) != e3 ) ) ),
    inference(formula_renaming,[status(thm)],[f336,f337]) ).

fof(f339,plain,
    ( ~ pd0_15
    | pd0_16
    | op(e0,e2) = e0 ),
    inference(cnf_transformation,[status(esa)],[f338]) ).

fof(f340,plain,
    ( ~ pd0_15
    | pd0_16
    | op(e2,e0) = e0 ),
    inference(cnf_transformation,[status(esa)],[f338]) ).

fof(f342,plain,
    ( ~ pd0_15
    | pd0_16
    | op(e2,e1) != e2
    | op(e2,e2) != e1 ),
    inference(cnf_transformation,[status(esa)],[f338]) ).

fof(f343,plain,
    ( ~ pd0_15
    | pd0_16
    | op(e2,e2) != e2
    | op(e2,e2) != e2 ),
    inference(cnf_transformation,[status(esa)],[f338]) ).

fof(f344,plain,
    ( ~ pd0_15
    | pd0_16
    | op(e2,e3) != e2
    | op(e2,e2) != e3 ),
    inference(cnf_transformation,[status(esa)],[f338]) ).

fof(f345,plain,
    ( ~ pd0_16
    | ( op(e0,e0) = e0
      & op(e0,e0) = e0
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) )
    | ( op(e0,e1) = e0
      & op(e1,e0) = e0
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f337]) ).

fof(f346,plain,
    ( pd0_17
   => ( op(e0,e0) = e0
      & op(e0,e0) = e0
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) ) ),
    introduced(predicate_definition,[f345]) ).

fof(f347,plain,
    ( ~ pd0_16
    | pd0_17
    | ( op(e0,e1) = e0
      & op(e1,e0) = e0
      & ( op(e1,e0) != e1
        | op(e1,e1) != e0 )
      & ( op(e1,e1) != e1
        | op(e1,e1) != e1 )
      & ( op(e1,e2) != e1
        | op(e1,e1) != e2 )
      & ( op(e1,e3) != e1
        | op(e1,e1) != e3 ) ) ),
    inference(formula_renaming,[status(thm)],[f345,f346]) ).

fof(f348,plain,
    ( ~ pd0_16
    | pd0_17
    | op(e0,e1) = e0 ),
    inference(cnf_transformation,[status(esa)],[f347]) ).

fof(f349,plain,
    ( ~ pd0_16
    | pd0_17
    | op(e1,e0) = e0 ),
    inference(cnf_transformation,[status(esa)],[f347]) ).

fof(f350,plain,
    ( ~ pd0_16
    | pd0_17
    | op(e1,e0) != e1
    | op(e1,e1) != e0 ),
    inference(cnf_transformation,[status(esa)],[f347]) ).

fof(f351,plain,
    ( ~ pd0_16
    | pd0_17
    | op(e1,e1) != e1
    | op(e1,e1) != e1 ),
    inference(cnf_transformation,[status(esa)],[f347]) ).

fof(f352,plain,
    ( ~ pd0_16
    | pd0_17
    | op(e1,e2) != e1
    | op(e1,e1) != e2 ),
    inference(cnf_transformation,[status(esa)],[f347]) ).

fof(f353,plain,
    ( ~ pd0_16
    | pd0_17
    | op(e1,e3) != e1
    | op(e1,e1) != e3 ),
    inference(cnf_transformation,[status(esa)],[f347]) ).

fof(f354,plain,
    ( ~ pd0_17
    | ( op(e0,e0) = e0
      & op(e0,e0) = e0
      & ( op(e0,e0) != e0
        | op(e0,e0) != e0 )
      & ( op(e0,e1) != e0
        | op(e0,e0) != e1 )
      & ( op(e0,e2) != e0
        | op(e0,e0) != e2 )
      & ( op(e0,e3) != e0
        | op(e0,e0) != e3 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f346]) ).

fof(f355,plain,
    ( ~ pd0_17
    | op(e0,e0) = e0 ),
    inference(cnf_transformation,[status(esa)],[f354]) ).

fof(f357,plain,
    ( ~ pd0_17
    | op(e0,e0) != e0
    | op(e0,e0) != e0 ),
    inference(cnf_transformation,[status(esa)],[f354]) ).

fof(f358,plain,
    ( ~ pd0_17
    | op(e0,e1) != e0
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[status(esa)],[f354]) ).

fof(f359,plain,
    ( ~ pd0_17
    | op(e0,e2) != e0
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[status(esa)],[f354]) ).

fof(f360,plain,
    ( ~ pd0_17
    | op(e0,e3) != e0
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[status(esa)],[f354]) ).

fof(f361,plain,
    ( spl0_0
  <=> op(e0,e0) = e0 ),
    introduced(split_symbol_definition) ).

fof(f362,plain,
    ( op(e0,e0) = e0
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f361]) ).

fof(f364,plain,
    ( spl0_1
  <=> op(e0,e0) = e1 ),
    introduced(split_symbol_definition) ).

fof(f365,plain,
    ( op(e0,e0) = e1
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f364]) ).

fof(f367,plain,
    ( spl0_2
  <=> op(e0,e0) = e2 ),
    introduced(split_symbol_definition) ).

fof(f368,plain,
    ( op(e0,e0) = e2
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f367]) ).

fof(f370,plain,
    ( spl0_3
  <=> op(e0,e0) = e3 ),
    introduced(split_symbol_definition) ).

fof(f371,plain,
    ( op(e0,e0) = e3
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f370]) ).

fof(f373,plain,
    ( spl0_0
    | spl0_1
    | spl0_2
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f30,f361,f364,f367,f370]) ).

fof(f374,plain,
    ( spl0_4
  <=> op(e0,e1) = e0 ),
    introduced(split_symbol_definition) ).

fof(f375,plain,
    ( op(e0,e1) = e0
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f374]) ).

fof(f377,plain,
    ( spl0_5
  <=> op(e0,e1) = e1 ),
    introduced(split_symbol_definition) ).

fof(f378,plain,
    ( op(e0,e1) = e1
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f377]) ).

fof(f380,plain,
    ( spl0_6
  <=> op(e0,e1) = e2 ),
    introduced(split_symbol_definition) ).

fof(f381,plain,
    ( op(e0,e1) = e2
    | ~ spl0_6 ),
    inference(component_clause,[status(thm)],[f380]) ).

fof(f383,plain,
    ( spl0_7
  <=> op(e0,e1) = e3 ),
    introduced(split_symbol_definition) ).

fof(f384,plain,
    ( op(e0,e1) = e3
    | ~ spl0_7 ),
    inference(component_clause,[status(thm)],[f383]) ).

fof(f386,plain,
    ( spl0_4
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(split_clause,[status(thm)],[f31,f374,f377,f380,f383]) ).

fof(f387,plain,
    ( spl0_8
  <=> op(e0,e2) = e0 ),
    introduced(split_symbol_definition) ).

fof(f388,plain,
    ( op(e0,e2) = e0
    | ~ spl0_8 ),
    inference(component_clause,[status(thm)],[f387]) ).

fof(f390,plain,
    ( spl0_9
  <=> op(e0,e2) = e1 ),
    introduced(split_symbol_definition) ).

fof(f391,plain,
    ( op(e0,e2) = e1
    | ~ spl0_9 ),
    inference(component_clause,[status(thm)],[f390]) ).

fof(f393,plain,
    ( spl0_10
  <=> op(e0,e2) = e2 ),
    introduced(split_symbol_definition) ).

fof(f394,plain,
    ( op(e0,e2) = e2
    | ~ spl0_10 ),
    inference(component_clause,[status(thm)],[f393]) ).

fof(f396,plain,
    ( spl0_11
  <=> op(e0,e2) = e3 ),
    introduced(split_symbol_definition) ).

fof(f397,plain,
    ( op(e0,e2) = e3
    | ~ spl0_11 ),
    inference(component_clause,[status(thm)],[f396]) ).

fof(f399,plain,
    ( spl0_8
    | spl0_9
    | spl0_10
    | spl0_11 ),
    inference(split_clause,[status(thm)],[f32,f387,f390,f393,f396]) ).

fof(f400,plain,
    ( spl0_12
  <=> op(e0,e3) = e0 ),
    introduced(split_symbol_definition) ).

fof(f401,plain,
    ( op(e0,e3) = e0
    | ~ spl0_12 ),
    inference(component_clause,[status(thm)],[f400]) ).

fof(f403,plain,
    ( spl0_13
  <=> op(e0,e3) = e1 ),
    introduced(split_symbol_definition) ).

fof(f404,plain,
    ( op(e0,e3) = e1
    | ~ spl0_13 ),
    inference(component_clause,[status(thm)],[f403]) ).

fof(f406,plain,
    ( spl0_14
  <=> op(e0,e3) = e2 ),
    introduced(split_symbol_definition) ).

fof(f407,plain,
    ( op(e0,e3) = e2
    | ~ spl0_14 ),
    inference(component_clause,[status(thm)],[f406]) ).

fof(f409,plain,
    ( spl0_15
  <=> op(e0,e3) = e3 ),
    introduced(split_symbol_definition) ).

fof(f410,plain,
    ( op(e0,e3) = e3
    | ~ spl0_15 ),
    inference(component_clause,[status(thm)],[f409]) ).

fof(f412,plain,
    ( spl0_12
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(split_clause,[status(thm)],[f33,f400,f403,f406,f409]) ).

fof(f413,plain,
    ( spl0_16
  <=> op(e1,e0) = e0 ),
    introduced(split_symbol_definition) ).

fof(f414,plain,
    ( op(e1,e0) = e0
    | ~ spl0_16 ),
    inference(component_clause,[status(thm)],[f413]) ).

fof(f416,plain,
    ( spl0_17
  <=> op(e1,e0) = e1 ),
    introduced(split_symbol_definition) ).

fof(f417,plain,
    ( op(e1,e0) = e1
    | ~ spl0_17 ),
    inference(component_clause,[status(thm)],[f416]) ).

fof(f419,plain,
    ( spl0_18
  <=> op(e1,e0) = e2 ),
    introduced(split_symbol_definition) ).

fof(f420,plain,
    ( op(e1,e0) = e2
    | ~ spl0_18 ),
    inference(component_clause,[status(thm)],[f419]) ).

fof(f422,plain,
    ( spl0_19
  <=> op(e1,e0) = e3 ),
    introduced(split_symbol_definition) ).

fof(f423,plain,
    ( op(e1,e0) = e3
    | ~ spl0_19 ),
    inference(component_clause,[status(thm)],[f422]) ).

fof(f425,plain,
    ( spl0_16
    | spl0_17
    | spl0_18
    | spl0_19 ),
    inference(split_clause,[status(thm)],[f34,f413,f416,f419,f422]) ).

fof(f426,plain,
    ( spl0_20
  <=> op(e1,e1) = e0 ),
    introduced(split_symbol_definition) ).

fof(f427,plain,
    ( op(e1,e1) = e0
    | ~ spl0_20 ),
    inference(component_clause,[status(thm)],[f426]) ).

fof(f429,plain,
    ( spl0_21
  <=> op(e1,e1) = e1 ),
    introduced(split_symbol_definition) ).

fof(f430,plain,
    ( op(e1,e1) = e1
    | ~ spl0_21 ),
    inference(component_clause,[status(thm)],[f429]) ).

fof(f432,plain,
    ( spl0_22
  <=> op(e1,e1) = e2 ),
    introduced(split_symbol_definition) ).

fof(f433,plain,
    ( op(e1,e1) = e2
    | ~ spl0_22 ),
    inference(component_clause,[status(thm)],[f432]) ).

fof(f435,plain,
    ( spl0_23
  <=> op(e1,e1) = e3 ),
    introduced(split_symbol_definition) ).

fof(f436,plain,
    ( op(e1,e1) = e3
    | ~ spl0_23 ),
    inference(component_clause,[status(thm)],[f435]) ).

fof(f438,plain,
    ( spl0_20
    | spl0_21
    | spl0_22
    | spl0_23 ),
    inference(split_clause,[status(thm)],[f35,f426,f429,f432,f435]) ).

fof(f439,plain,
    ( spl0_24
  <=> op(e1,e2) = e0 ),
    introduced(split_symbol_definition) ).

fof(f440,plain,
    ( op(e1,e2) = e0
    | ~ spl0_24 ),
    inference(component_clause,[status(thm)],[f439]) ).

fof(f442,plain,
    ( spl0_25
  <=> op(e1,e2) = e1 ),
    introduced(split_symbol_definition) ).

fof(f443,plain,
    ( op(e1,e2) = e1
    | ~ spl0_25 ),
    inference(component_clause,[status(thm)],[f442]) ).

fof(f445,plain,
    ( spl0_26
  <=> op(e1,e2) = e2 ),
    introduced(split_symbol_definition) ).

fof(f446,plain,
    ( op(e1,e2) = e2
    | ~ spl0_26 ),
    inference(component_clause,[status(thm)],[f445]) ).

fof(f448,plain,
    ( spl0_27
  <=> op(e1,e2) = e3 ),
    introduced(split_symbol_definition) ).

fof(f449,plain,
    ( op(e1,e2) = e3
    | ~ spl0_27 ),
    inference(component_clause,[status(thm)],[f448]) ).

fof(f451,plain,
    ( spl0_24
    | spl0_25
    | spl0_26
    | spl0_27 ),
    inference(split_clause,[status(thm)],[f36,f439,f442,f445,f448]) ).

fof(f452,plain,
    ( spl0_28
  <=> op(e1,e3) = e0 ),
    introduced(split_symbol_definition) ).

fof(f453,plain,
    ( op(e1,e3) = e0
    | ~ spl0_28 ),
    inference(component_clause,[status(thm)],[f452]) ).

fof(f455,plain,
    ( spl0_29
  <=> op(e1,e3) = e1 ),
    introduced(split_symbol_definition) ).

fof(f456,plain,
    ( op(e1,e3) = e1
    | ~ spl0_29 ),
    inference(component_clause,[status(thm)],[f455]) ).

fof(f458,plain,
    ( spl0_30
  <=> op(e1,e3) = e2 ),
    introduced(split_symbol_definition) ).

fof(f459,plain,
    ( op(e1,e3) = e2
    | ~ spl0_30 ),
    inference(component_clause,[status(thm)],[f458]) ).

fof(f461,plain,
    ( spl0_31
  <=> op(e1,e3) = e3 ),
    introduced(split_symbol_definition) ).

fof(f462,plain,
    ( op(e1,e3) = e3
    | ~ spl0_31 ),
    inference(component_clause,[status(thm)],[f461]) ).

fof(f464,plain,
    ( spl0_28
    | spl0_29
    | spl0_30
    | spl0_31 ),
    inference(split_clause,[status(thm)],[f37,f452,f455,f458,f461]) ).

fof(f465,plain,
    ( spl0_32
  <=> op(e2,e0) = e0 ),
    introduced(split_symbol_definition) ).

fof(f466,plain,
    ( op(e2,e0) = e0
    | ~ spl0_32 ),
    inference(component_clause,[status(thm)],[f465]) ).

fof(f468,plain,
    ( spl0_33
  <=> op(e2,e0) = e1 ),
    introduced(split_symbol_definition) ).

fof(f469,plain,
    ( op(e2,e0) = e1
    | ~ spl0_33 ),
    inference(component_clause,[status(thm)],[f468]) ).

fof(f471,plain,
    ( spl0_34
  <=> op(e2,e0) = e2 ),
    introduced(split_symbol_definition) ).

fof(f472,plain,
    ( op(e2,e0) = e2
    | ~ spl0_34 ),
    inference(component_clause,[status(thm)],[f471]) ).

fof(f474,plain,
    ( spl0_35
  <=> op(e2,e0) = e3 ),
    introduced(split_symbol_definition) ).

fof(f475,plain,
    ( op(e2,e0) = e3
    | ~ spl0_35 ),
    inference(component_clause,[status(thm)],[f474]) ).

fof(f477,plain,
    ( spl0_32
    | spl0_33
    | spl0_34
    | spl0_35 ),
    inference(split_clause,[status(thm)],[f38,f465,f468,f471,f474]) ).

fof(f478,plain,
    ( spl0_36
  <=> op(e2,e1) = e0 ),
    introduced(split_symbol_definition) ).

fof(f479,plain,
    ( op(e2,e1) = e0
    | ~ spl0_36 ),
    inference(component_clause,[status(thm)],[f478]) ).

fof(f481,plain,
    ( spl0_37
  <=> op(e2,e1) = e1 ),
    introduced(split_symbol_definition) ).

fof(f482,plain,
    ( op(e2,e1) = e1
    | ~ spl0_37 ),
    inference(component_clause,[status(thm)],[f481]) ).

fof(f484,plain,
    ( spl0_38
  <=> op(e2,e1) = e2 ),
    introduced(split_symbol_definition) ).

fof(f485,plain,
    ( op(e2,e1) = e2
    | ~ spl0_38 ),
    inference(component_clause,[status(thm)],[f484]) ).

fof(f487,plain,
    ( spl0_39
  <=> op(e2,e1) = e3 ),
    introduced(split_symbol_definition) ).

fof(f488,plain,
    ( op(e2,e1) = e3
    | ~ spl0_39 ),
    inference(component_clause,[status(thm)],[f487]) ).

fof(f490,plain,
    ( spl0_36
    | spl0_37
    | spl0_38
    | spl0_39 ),
    inference(split_clause,[status(thm)],[f39,f478,f481,f484,f487]) ).

fof(f491,plain,
    ( spl0_40
  <=> op(e2,e2) = e0 ),
    introduced(split_symbol_definition) ).

fof(f492,plain,
    ( op(e2,e2) = e0
    | ~ spl0_40 ),
    inference(component_clause,[status(thm)],[f491]) ).

fof(f494,plain,
    ( spl0_41
  <=> op(e2,e2) = e1 ),
    introduced(split_symbol_definition) ).

fof(f495,plain,
    ( op(e2,e2) = e1
    | ~ spl0_41 ),
    inference(component_clause,[status(thm)],[f494]) ).

fof(f497,plain,
    ( spl0_42
  <=> op(e2,e2) = e2 ),
    introduced(split_symbol_definition) ).

fof(f498,plain,
    ( op(e2,e2) = e2
    | ~ spl0_42 ),
    inference(component_clause,[status(thm)],[f497]) ).

fof(f500,plain,
    ( spl0_43
  <=> op(e2,e2) = e3 ),
    introduced(split_symbol_definition) ).

fof(f501,plain,
    ( op(e2,e2) = e3
    | ~ spl0_43 ),
    inference(component_clause,[status(thm)],[f500]) ).

fof(f503,plain,
    ( spl0_40
    | spl0_41
    | spl0_42
    | spl0_43 ),
    inference(split_clause,[status(thm)],[f40,f491,f494,f497,f500]) ).

fof(f504,plain,
    ( spl0_44
  <=> op(e2,e3) = e0 ),
    introduced(split_symbol_definition) ).

fof(f505,plain,
    ( op(e2,e3) = e0
    | ~ spl0_44 ),
    inference(component_clause,[status(thm)],[f504]) ).

fof(f507,plain,
    ( spl0_45
  <=> op(e2,e3) = e1 ),
    introduced(split_symbol_definition) ).

fof(f508,plain,
    ( op(e2,e3) = e1
    | ~ spl0_45 ),
    inference(component_clause,[status(thm)],[f507]) ).

fof(f510,plain,
    ( spl0_46
  <=> op(e2,e3) = e2 ),
    introduced(split_symbol_definition) ).

fof(f511,plain,
    ( op(e2,e3) = e2
    | ~ spl0_46 ),
    inference(component_clause,[status(thm)],[f510]) ).

fof(f513,plain,
    ( spl0_47
  <=> op(e2,e3) = e3 ),
    introduced(split_symbol_definition) ).

fof(f514,plain,
    ( op(e2,e3) = e3
    | ~ spl0_47 ),
    inference(component_clause,[status(thm)],[f513]) ).

fof(f516,plain,
    ( spl0_44
    | spl0_45
    | spl0_46
    | spl0_47 ),
    inference(split_clause,[status(thm)],[f41,f504,f507,f510,f513]) ).

fof(f517,plain,
    ( spl0_48
  <=> op(e3,e0) = e0 ),
    introduced(split_symbol_definition) ).

fof(f518,plain,
    ( op(e3,e0) = e0
    | ~ spl0_48 ),
    inference(component_clause,[status(thm)],[f517]) ).

fof(f520,plain,
    ( spl0_49
  <=> op(e3,e0) = e1 ),
    introduced(split_symbol_definition) ).

fof(f521,plain,
    ( op(e3,e0) = e1
    | ~ spl0_49 ),
    inference(component_clause,[status(thm)],[f520]) ).

fof(f523,plain,
    ( spl0_50
  <=> op(e3,e0) = e2 ),
    introduced(split_symbol_definition) ).

fof(f524,plain,
    ( op(e3,e0) = e2
    | ~ spl0_50 ),
    inference(component_clause,[status(thm)],[f523]) ).

fof(f526,plain,
    ( spl0_51
  <=> op(e3,e0) = e3 ),
    introduced(split_symbol_definition) ).

fof(f527,plain,
    ( op(e3,e0) = e3
    | ~ spl0_51 ),
    inference(component_clause,[status(thm)],[f526]) ).

fof(f529,plain,
    ( spl0_48
    | spl0_49
    | spl0_50
    | spl0_51 ),
    inference(split_clause,[status(thm)],[f42,f517,f520,f523,f526]) ).

fof(f530,plain,
    ( spl0_52
  <=> op(e3,e1) = e0 ),
    introduced(split_symbol_definition) ).

fof(f531,plain,
    ( op(e3,e1) = e0
    | ~ spl0_52 ),
    inference(component_clause,[status(thm)],[f530]) ).

fof(f533,plain,
    ( spl0_53
  <=> op(e3,e1) = e1 ),
    introduced(split_symbol_definition) ).

fof(f534,plain,
    ( op(e3,e1) = e1
    | ~ spl0_53 ),
    inference(component_clause,[status(thm)],[f533]) ).

fof(f536,plain,
    ( spl0_54
  <=> op(e3,e1) = e2 ),
    introduced(split_symbol_definition) ).

fof(f537,plain,
    ( op(e3,e1) = e2
    | ~ spl0_54 ),
    inference(component_clause,[status(thm)],[f536]) ).

fof(f539,plain,
    ( spl0_55
  <=> op(e3,e1) = e3 ),
    introduced(split_symbol_definition) ).

fof(f540,plain,
    ( op(e3,e1) = e3
    | ~ spl0_55 ),
    inference(component_clause,[status(thm)],[f539]) ).

fof(f542,plain,
    ( spl0_52
    | spl0_53
    | spl0_54
    | spl0_55 ),
    inference(split_clause,[status(thm)],[f43,f530,f533,f536,f539]) ).

fof(f543,plain,
    ( spl0_56
  <=> op(e3,e2) = e0 ),
    introduced(split_symbol_definition) ).

fof(f544,plain,
    ( op(e3,e2) = e0
    | ~ spl0_56 ),
    inference(component_clause,[status(thm)],[f543]) ).

fof(f546,plain,
    ( spl0_57
  <=> op(e3,e2) = e1 ),
    introduced(split_symbol_definition) ).

fof(f547,plain,
    ( op(e3,e2) = e1
    | ~ spl0_57 ),
    inference(component_clause,[status(thm)],[f546]) ).

fof(f549,plain,
    ( spl0_58
  <=> op(e3,e2) = e2 ),
    introduced(split_symbol_definition) ).

fof(f550,plain,
    ( op(e3,e2) = e2
    | ~ spl0_58 ),
    inference(component_clause,[status(thm)],[f549]) ).

fof(f552,plain,
    ( spl0_59
  <=> op(e3,e2) = e3 ),
    introduced(split_symbol_definition) ).

fof(f553,plain,
    ( op(e3,e2) = e3
    | ~ spl0_59 ),
    inference(component_clause,[status(thm)],[f552]) ).

fof(f555,plain,
    ( spl0_56
    | spl0_57
    | spl0_58
    | spl0_59 ),
    inference(split_clause,[status(thm)],[f44,f543,f546,f549,f552]) ).

fof(f556,plain,
    ( spl0_60
  <=> op(e3,e3) = e0 ),
    introduced(split_symbol_definition) ).

fof(f557,plain,
    ( op(e3,e3) = e0
    | ~ spl0_60 ),
    inference(component_clause,[status(thm)],[f556]) ).

fof(f559,plain,
    ( spl0_61
  <=> op(e3,e3) = e1 ),
    introduced(split_symbol_definition) ).

fof(f560,plain,
    ( op(e3,e3) = e1
    | ~ spl0_61 ),
    inference(component_clause,[status(thm)],[f559]) ).

fof(f562,plain,
    ( spl0_62
  <=> op(e3,e3) = e2 ),
    introduced(split_symbol_definition) ).

fof(f563,plain,
    ( op(e3,e3) = e2
    | ~ spl0_62 ),
    inference(component_clause,[status(thm)],[f562]) ).

fof(f565,plain,
    ( spl0_63
  <=> op(e3,e3) = e3 ),
    introduced(split_symbol_definition) ).

fof(f566,plain,
    ( op(e3,e3) = e3
    | ~ spl0_63 ),
    inference(component_clause,[status(thm)],[f565]) ).

fof(f568,plain,
    ( spl0_60
    | spl0_61
    | spl0_62
    | spl0_63 ),
    inference(split_clause,[status(thm)],[f45,f556,f559,f562,f565]) ).

fof(f569,plain,
    ( spl0_0
    | spl0_4
    | spl0_8
    | spl0_12 ),
    inference(split_clause,[status(thm)],[f46,f361,f374,f387,f400]) ).

fof(f570,plain,
    ( spl0_0
    | spl0_16
    | spl0_32
    | spl0_48 ),
    inference(split_clause,[status(thm)],[f47,f361,f413,f465,f517]) ).

fof(f571,plain,
    ( spl0_1
    | spl0_5
    | spl0_9
    | spl0_13 ),
    inference(split_clause,[status(thm)],[f48,f364,f377,f390,f403]) ).

fof(f572,plain,
    ( spl0_1
    | spl0_17
    | spl0_33
    | spl0_49 ),
    inference(split_clause,[status(thm)],[f49,f364,f416,f468,f520]) ).

fof(f573,plain,
    ( spl0_2
    | spl0_6
    | spl0_10
    | spl0_14 ),
    inference(split_clause,[status(thm)],[f50,f367,f380,f393,f406]) ).

fof(f574,plain,
    ( spl0_2
    | spl0_18
    | spl0_34
    | spl0_50 ),
    inference(split_clause,[status(thm)],[f51,f367,f419,f471,f523]) ).

fof(f575,plain,
    ( spl0_3
    | spl0_7
    | spl0_11
    | spl0_15 ),
    inference(split_clause,[status(thm)],[f52,f370,f383,f396,f409]) ).

fof(f576,plain,
    ( spl0_3
    | spl0_19
    | spl0_35
    | spl0_51 ),
    inference(split_clause,[status(thm)],[f53,f370,f422,f474,f526]) ).

fof(f577,plain,
    ( spl0_16
    | spl0_20
    | spl0_24
    | spl0_28 ),
    inference(split_clause,[status(thm)],[f54,f413,f426,f439,f452]) ).

fof(f578,plain,
    ( spl0_4
    | spl0_20
    | spl0_36
    | spl0_52 ),
    inference(split_clause,[status(thm)],[f55,f374,f426,f478,f530]) ).

fof(f579,plain,
    ( spl0_17
    | spl0_21
    | spl0_25
    | spl0_29 ),
    inference(split_clause,[status(thm)],[f56,f416,f429,f442,f455]) ).

fof(f580,plain,
    ( spl0_5
    | spl0_21
    | spl0_37
    | spl0_53 ),
    inference(split_clause,[status(thm)],[f57,f377,f429,f481,f533]) ).

fof(f581,plain,
    ( spl0_18
    | spl0_22
    | spl0_26
    | spl0_30 ),
    inference(split_clause,[status(thm)],[f58,f419,f432,f445,f458]) ).

fof(f582,plain,
    ( spl0_6
    | spl0_22
    | spl0_38
    | spl0_54 ),
    inference(split_clause,[status(thm)],[f59,f380,f432,f484,f536]) ).

fof(f583,plain,
    ( spl0_19
    | spl0_23
    | spl0_27
    | spl0_31 ),
    inference(split_clause,[status(thm)],[f60,f422,f435,f448,f461]) ).

fof(f584,plain,
    ( spl0_7
    | spl0_23
    | spl0_39
    | spl0_55 ),
    inference(split_clause,[status(thm)],[f61,f383,f435,f487,f539]) ).

fof(f585,plain,
    ( spl0_32
    | spl0_36
    | spl0_40
    | spl0_44 ),
    inference(split_clause,[status(thm)],[f62,f465,f478,f491,f504]) ).

fof(f586,plain,
    ( spl0_8
    | spl0_24
    | spl0_40
    | spl0_56 ),
    inference(split_clause,[status(thm)],[f63,f387,f439,f491,f543]) ).

fof(f587,plain,
    ( spl0_33
    | spl0_37
    | spl0_41
    | spl0_45 ),
    inference(split_clause,[status(thm)],[f64,f468,f481,f494,f507]) ).

fof(f588,plain,
    ( spl0_9
    | spl0_25
    | spl0_41
    | spl0_57 ),
    inference(split_clause,[status(thm)],[f65,f390,f442,f494,f546]) ).

fof(f589,plain,
    ( spl0_34
    | spl0_38
    | spl0_42
    | spl0_46 ),
    inference(split_clause,[status(thm)],[f66,f471,f484,f497,f510]) ).

fof(f590,plain,
    ( spl0_10
    | spl0_26
    | spl0_42
    | spl0_58 ),
    inference(split_clause,[status(thm)],[f67,f393,f445,f497,f549]) ).

fof(f591,plain,
    ( spl0_35
    | spl0_39
    | spl0_43
    | spl0_47 ),
    inference(split_clause,[status(thm)],[f68,f474,f487,f500,f513]) ).

fof(f592,plain,
    ( spl0_11
    | spl0_27
    | spl0_43
    | spl0_59 ),
    inference(split_clause,[status(thm)],[f69,f396,f448,f500,f552]) ).

fof(f593,plain,
    ( spl0_48
    | spl0_52
    | spl0_56
    | spl0_60 ),
    inference(split_clause,[status(thm)],[f70,f517,f530,f543,f556]) ).

fof(f594,plain,
    ( spl0_12
    | spl0_28
    | spl0_44
    | spl0_60 ),
    inference(split_clause,[status(thm)],[f71,f400,f452,f504,f556]) ).

fof(f595,plain,
    ( spl0_49
    | spl0_53
    | spl0_57
    | spl0_61 ),
    inference(split_clause,[status(thm)],[f72,f520,f533,f546,f559]) ).

fof(f596,plain,
    ( spl0_13
    | spl0_29
    | spl0_45
    | spl0_61 ),
    inference(split_clause,[status(thm)],[f73,f403,f455,f507,f559]) ).

fof(f597,plain,
    ( spl0_50
    | spl0_54
    | spl0_58
    | spl0_62 ),
    inference(split_clause,[status(thm)],[f74,f523,f536,f549,f562]) ).

fof(f598,plain,
    ( spl0_14
    | spl0_30
    | spl0_46
    | spl0_62 ),
    inference(split_clause,[status(thm)],[f75,f406,f458,f510,f562]) ).

fof(f599,plain,
    ( spl0_51
    | spl0_55
    | spl0_59
    | spl0_63 ),
    inference(split_clause,[status(thm)],[f76,f526,f539,f552,f565]) ).

fof(f600,plain,
    ( spl0_15
    | spl0_31
    | spl0_47
    | spl0_63 ),
    inference(split_clause,[status(thm)],[f77,f409,f461,f513,f565]) ).

fof(f601,plain,
    ( spl0_64
  <=> pd0_0 ),
    introduced(split_symbol_definition) ).

fof(f604,plain,
    ( spl0_65
  <=> op(e3,op(e3,e0)) = e0 ),
    introduced(split_symbol_definition) ).

fof(f605,plain,
    ( op(e3,op(e3,e0)) = e0
    | ~ spl0_65 ),
    inference(component_clause,[status(thm)],[f604]) ).

fof(f606,plain,
    ( op(e3,op(e3,e0)) != e0
    | spl0_65 ),
    inference(component_clause,[status(thm)],[f604]) ).

fof(f607,plain,
    ( spl0_64
    | spl0_65 ),
    inference(split_clause,[status(thm)],[f135,f601,f604]) ).

fof(f608,plain,
    ( spl0_66
  <=> op(e3,op(e3,e1)) = e1 ),
    introduced(split_symbol_definition) ).

fof(f609,plain,
    ( op(e3,op(e3,e1)) = e1
    | ~ spl0_66 ),
    inference(component_clause,[status(thm)],[f608]) ).

fof(f610,plain,
    ( op(e3,op(e3,e1)) != e1
    | spl0_66 ),
    inference(component_clause,[status(thm)],[f608]) ).

fof(f611,plain,
    ( spl0_64
    | spl0_66 ),
    inference(split_clause,[status(thm)],[f136,f601,f608]) ).

fof(f612,plain,
    ( spl0_67
  <=> op(e3,op(e3,e2)) = e2 ),
    introduced(split_symbol_definition) ).

fof(f613,plain,
    ( op(e3,op(e3,e2)) = e2
    | ~ spl0_67 ),
    inference(component_clause,[status(thm)],[f612]) ).

fof(f615,plain,
    ( spl0_64
    | spl0_67 ),
    inference(split_clause,[status(thm)],[f137,f601,f612]) ).

fof(f616,plain,
    ( spl0_68
  <=> op(e3,op(e3,e3)) = e3 ),
    introduced(split_symbol_definition) ).

fof(f617,plain,
    ( op(e3,op(e3,e3)) = e3
    | ~ spl0_68 ),
    inference(component_clause,[status(thm)],[f616]) ).

fof(f619,plain,
    ( spl0_64
    | spl0_68 ),
    inference(split_clause,[status(thm)],[f138,f601,f616]) ).

fof(f620,plain,
    ( spl0_64
    | ~ spl0_3
    | spl0_12 ),
    inference(split_clause,[status(thm)],[f139,f601,f370,f400]) ).

fof(f621,plain,
    ( spl0_64
    | ~ spl0_23
    | spl0_29 ),
    inference(split_clause,[status(thm)],[f140,f601,f435,f455]) ).

fof(f622,plain,
    ( spl0_64
    | ~ spl0_43
    | spl0_46 ),
    inference(split_clause,[status(thm)],[f141,f601,f500,f510]) ).

fof(f624,plain,
    ( spl0_69
  <=> pd0_1 ),
    introduced(split_symbol_definition) ).

fof(f627,plain,
    ( spl0_69
    | spl0_63 ),
    inference(split_clause,[status(thm)],[f143,f624,f565]) ).

fof(f629,plain,
    ( spl0_69
    | ~ spl0_51
    | ~ spl0_60 ),
    inference(split_clause,[status(thm)],[f145,f624,f526,f556]) ).

fof(f630,plain,
    ( spl0_69
    | ~ spl0_55
    | ~ spl0_61 ),
    inference(split_clause,[status(thm)],[f146,f624,f539,f559]) ).

fof(f631,plain,
    ( spl0_69
    | ~ spl0_59
    | ~ spl0_62 ),
    inference(split_clause,[status(thm)],[f147,f624,f552,f562]) ).

fof(f632,plain,
    ( spl0_69
    | ~ spl0_63 ),
    inference(split_clause,[status(thm)],[f148,f624,f565]) ).

fof(f633,plain,
    ( spl0_70
  <=> e2 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
    introduced(split_symbol_definition) ).

fof(f635,plain,
    ( e2 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
    | spl0_70 ),
    inference(component_clause,[status(thm)],[f633]) ).

fof(f636,plain,
    ( spl0_71
  <=> e3 = op(op(e1,e1),op(e1,e1)) ),
    introduced(split_symbol_definition) ).

fof(f638,plain,
    ( e3 != op(op(e1,e1),op(e1,e1))
    | spl0_71 ),
    inference(component_clause,[status(thm)],[f636]) ).

fof(f639,plain,
    ( ~ spl0_20
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(split_clause,[status(thm)],[f150,f426,f633,f636]) ).

fof(f640,plain,
    ( spl0_72
  <=> e3 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
    introduced(split_symbol_definition) ).

fof(f642,plain,
    ( e3 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
    | spl0_72 ),
    inference(component_clause,[status(thm)],[f640]) ).

fof(f643,plain,
    ( spl0_73
  <=> e2 = op(op(e1,e1),op(e1,e1)) ),
    introduced(split_symbol_definition) ).

fof(f645,plain,
    ( e2 != op(op(e1,e1),op(e1,e1))
    | spl0_73 ),
    inference(component_clause,[status(thm)],[f643]) ).

fof(f646,plain,
    ( ~ spl0_20
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(split_clause,[status(thm)],[f152,f426,f640,f643]) ).

fof(f647,plain,
    ( spl0_74
  <=> e1 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
    introduced(split_symbol_definition) ).

fof(f649,plain,
    ( e1 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | spl0_74 ),
    inference(component_clause,[status(thm)],[f647]) ).

fof(f650,plain,
    ( spl0_75
  <=> e3 = op(op(e2,e2),op(e2,e2)) ),
    introduced(split_symbol_definition) ).

fof(f652,plain,
    ( e3 != op(op(e2,e2),op(e2,e2))
    | spl0_75 ),
    inference(component_clause,[status(thm)],[f650]) ).

fof(f653,plain,
    ( ~ spl0_40
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(split_clause,[status(thm)],[f154,f491,f647,f650]) ).

fof(f654,plain,
    ( spl0_76
  <=> e3 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
    introduced(split_symbol_definition) ).

fof(f656,plain,
    ( e3 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | spl0_76 ),
    inference(component_clause,[status(thm)],[f654]) ).

fof(f657,plain,
    ( spl0_77
  <=> e1 = op(op(e2,e2),op(e2,e2)) ),
    introduced(split_symbol_definition) ).

fof(f659,plain,
    ( e1 != op(op(e2,e2),op(e2,e2))
    | spl0_77 ),
    inference(component_clause,[status(thm)],[f657]) ).

fof(f660,plain,
    ( ~ spl0_40
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(split_clause,[status(thm)],[f156,f491,f654,f657]) ).

fof(f661,plain,
    ( spl0_78
  <=> e1 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) ),
    introduced(split_symbol_definition) ).

fof(f663,plain,
    ( e1 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
    | spl0_78 ),
    inference(component_clause,[status(thm)],[f661]) ).

fof(f664,plain,
    ( spl0_79
  <=> e2 = op(op(e3,e3),op(e3,e3)) ),
    introduced(split_symbol_definition) ).

fof(f665,plain,
    ( e2 = op(op(e3,e3),op(e3,e3))
    | ~ spl0_79 ),
    inference(component_clause,[status(thm)],[f664]) ).

fof(f666,plain,
    ( e2 != op(op(e3,e3),op(e3,e3))
    | spl0_79 ),
    inference(component_clause,[status(thm)],[f664]) ).

fof(f667,plain,
    ( ~ spl0_60
    | ~ spl0_78
    | ~ spl0_79 ),
    inference(split_clause,[status(thm)],[f158,f556,f661,f664]) ).

fof(f668,plain,
    ( spl0_80
  <=> e2 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) ),
    introduced(split_symbol_definition) ).

fof(f670,plain,
    ( e2 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
    | spl0_80 ),
    inference(component_clause,[status(thm)],[f668]) ).

fof(f671,plain,
    ( spl0_81
  <=> e1 = op(op(e3,e3),op(e3,e3)) ),
    introduced(split_symbol_definition) ).

fof(f673,plain,
    ( e1 != op(op(e3,e3),op(e3,e3))
    | spl0_81 ),
    inference(component_clause,[status(thm)],[f671]) ).

fof(f674,plain,
    ( ~ spl0_60
    | ~ spl0_80
    | ~ spl0_81 ),
    inference(split_clause,[status(thm)],[f160,f556,f668,f671]) ).

fof(f675,plain,
    ( spl0_82
  <=> e2 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
    introduced(split_symbol_definition) ).

fof(f677,plain,
    ( e2 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
    | spl0_82 ),
    inference(component_clause,[status(thm)],[f675]) ).

fof(f678,plain,
    ( spl0_83
  <=> e3 = op(op(e0,e0),op(e0,e0)) ),
    introduced(split_symbol_definition) ).

fof(f680,plain,
    ( e3 != op(op(e0,e0),op(e0,e0))
    | spl0_83 ),
    inference(component_clause,[status(thm)],[f678]) ).

fof(f681,plain,
    ( ~ spl0_1
    | ~ spl0_82
    | ~ spl0_83 ),
    inference(split_clause,[status(thm)],[f162,f364,f675,f678]) ).

fof(f682,plain,
    ( spl0_84
  <=> e3 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
    introduced(split_symbol_definition) ).

fof(f684,plain,
    ( e3 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
    | spl0_84 ),
    inference(component_clause,[status(thm)],[f682]) ).

fof(f685,plain,
    ( spl0_85
  <=> e2 = op(op(e0,e0),op(e0,e0)) ),
    introduced(split_symbol_definition) ).

fof(f686,plain,
    ( e2 = op(op(e0,e0),op(e0,e0))
    | ~ spl0_85 ),
    inference(component_clause,[status(thm)],[f685]) ).

fof(f687,plain,
    ( e2 != op(op(e0,e0),op(e0,e0))
    | spl0_85 ),
    inference(component_clause,[status(thm)],[f685]) ).

fof(f688,plain,
    ( ~ spl0_1
    | ~ spl0_84
    | ~ spl0_85 ),
    inference(split_clause,[status(thm)],[f164,f364,f682,f685]) ).

fof(f689,plain,
    ( spl0_86
  <=> e0 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) ),
    introduced(split_symbol_definition) ).

fof(f691,plain,
    ( e0 != op(op(op(e2,e2),op(e2,e2)),op(e2,e2))
    | spl0_86 ),
    inference(component_clause,[status(thm)],[f689]) ).

fof(f692,plain,
    ( ~ spl0_41
    | ~ spl0_86
    | ~ spl0_75 ),
    inference(split_clause,[status(thm)],[f166,f494,f689,f650]) ).

fof(f693,plain,
    ( spl0_87
  <=> e0 = op(op(e2,e2),op(e2,e2)) ),
    introduced(split_symbol_definition) ).

fof(f695,plain,
    ( e0 != op(op(e2,e2),op(e2,e2))
    | spl0_87 ),
    inference(component_clause,[status(thm)],[f693]) ).

fof(f696,plain,
    ( ~ spl0_41
    | ~ spl0_76
    | ~ spl0_87 ),
    inference(split_clause,[status(thm)],[f168,f494,f654,f693]) ).

fof(f697,plain,
    ( spl0_88
  <=> e0 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) ),
    introduced(split_symbol_definition) ).

fof(f699,plain,
    ( e0 != op(op(op(e3,e3),op(e3,e3)),op(e3,e3))
    | spl0_88 ),
    inference(component_clause,[status(thm)],[f697]) ).

fof(f700,plain,
    ( ~ spl0_61
    | ~ spl0_88
    | ~ spl0_79 ),
    inference(split_clause,[status(thm)],[f170,f559,f697,f664]) ).

fof(f701,plain,
    ( spl0_89
  <=> e0 = op(op(e3,e3),op(e3,e3)) ),
    introduced(split_symbol_definition) ).

fof(f703,plain,
    ( e0 != op(op(e3,e3),op(e3,e3))
    | spl0_89 ),
    inference(component_clause,[status(thm)],[f701]) ).

fof(f704,plain,
    ( ~ spl0_61
    | ~ spl0_80
    | ~ spl0_89 ),
    inference(split_clause,[status(thm)],[f172,f559,f668,f701]) ).

fof(f705,plain,
    ( spl0_90
  <=> e1 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) ),
    introduced(split_symbol_definition) ).

fof(f707,plain,
    ( e1 != op(op(op(e0,e0),op(e0,e0)),op(e0,e0))
    | spl0_90 ),
    inference(component_clause,[status(thm)],[f705]) ).

fof(f708,plain,
    ( ~ spl0_2
    | ~ spl0_90
    | ~ spl0_83 ),
    inference(split_clause,[status(thm)],[f174,f367,f705,f678]) ).

fof(f709,plain,
    ( spl0_91
  <=> e1 = op(op(e0,e0),op(e0,e0)) ),
    introduced(split_symbol_definition) ).

fof(f711,plain,
    ( e1 != op(op(e0,e0),op(e0,e0))
    | spl0_91 ),
    inference(component_clause,[status(thm)],[f709]) ).

fof(f712,plain,
    ( ~ spl0_2
    | ~ spl0_84
    | ~ spl0_91 ),
    inference(split_clause,[status(thm)],[f176,f367,f682,f709]) ).

fof(f713,plain,
    ( spl0_92
  <=> e0 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) ),
    introduced(split_symbol_definition) ).

fof(f714,plain,
    ( e0 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
    | ~ spl0_92 ),
    inference(component_clause,[status(thm)],[f713]) ).

fof(f715,plain,
    ( e0 != op(op(op(e1,e1),op(e1,e1)),op(e1,e1))
    | spl0_92 ),
    inference(component_clause,[status(thm)],[f713]) ).

fof(f716,plain,
    ( ~ spl0_22
    | ~ spl0_92
    | ~ spl0_71 ),
    inference(split_clause,[status(thm)],[f178,f432,f713,f636]) ).

fof(f717,plain,
    ( spl0_93
  <=> e0 = op(op(e1,e1),op(e1,e1)) ),
    introduced(split_symbol_definition) ).

fof(f718,plain,
    ( e0 = op(op(e1,e1),op(e1,e1))
    | ~ spl0_93 ),
    inference(component_clause,[status(thm)],[f717]) ).

fof(f719,plain,
    ( e0 != op(op(e1,e1),op(e1,e1))
    | spl0_93 ),
    inference(component_clause,[status(thm)],[f717]) ).

fof(f720,plain,
    ( ~ spl0_22
    | ~ spl0_72
    | ~ spl0_93 ),
    inference(split_clause,[status(thm)],[f180,f432,f640,f717]) ).

fof(f721,plain,
    ( ~ spl0_62
    | ~ spl0_88
    | ~ spl0_81 ),
    inference(split_clause,[status(thm)],[f182,f562,f697,f671]) ).

fof(f722,plain,
    ( ~ spl0_62
    | ~ spl0_78
    | ~ spl0_89 ),
    inference(split_clause,[status(thm)],[f184,f562,f661,f701]) ).

fof(f723,plain,
    ( ~ spl0_3
    | ~ spl0_90
    | ~ spl0_85 ),
    inference(split_clause,[status(thm)],[f186,f370,f705,f685]) ).

fof(f724,plain,
    ( ~ spl0_3
    | ~ spl0_82
    | ~ spl0_91 ),
    inference(split_clause,[status(thm)],[f188,f370,f675,f709]) ).

fof(f725,plain,
    ( ~ spl0_23
    | ~ spl0_92
    | ~ spl0_73 ),
    inference(split_clause,[status(thm)],[f190,f435,f713,f643]) ).

fof(f726,plain,
    ( ~ spl0_23
    | ~ spl0_70
    | ~ spl0_93 ),
    inference(split_clause,[status(thm)],[f192,f435,f633,f717]) ).

fof(f727,plain,
    ( ~ spl0_43
    | ~ spl0_86
    | ~ spl0_77 ),
    inference(split_clause,[status(thm)],[f194,f500,f689,f657]) ).

fof(f728,plain,
    ( ~ spl0_43
    | ~ spl0_74
    | ~ spl0_87 ),
    inference(split_clause,[status(thm)],[f196,f500,f647,f693]) ).

fof(f729,plain,
    ( spl0_94
  <=> pd0_2 ),
    introduced(split_symbol_definition) ).

fof(f732,plain,
    ( spl0_95
  <=> op(e2,op(e2,e0)) = e0 ),
    introduced(split_symbol_definition) ).

fof(f733,plain,
    ( op(e2,op(e2,e0)) = e0
    | ~ spl0_95 ),
    inference(component_clause,[status(thm)],[f732]) ).

fof(f734,plain,
    ( op(e2,op(e2,e0)) != e0
    | spl0_95 ),
    inference(component_clause,[status(thm)],[f732]) ).

fof(f735,plain,
    ( ~ spl0_64
    | spl0_94
    | spl0_95 ),
    inference(split_clause,[status(thm)],[f200,f601,f729,f732]) ).

fof(f736,plain,
    ( spl0_96
  <=> op(e2,op(e2,e1)) = e1 ),
    introduced(split_symbol_definition) ).

fof(f737,plain,
    ( op(e2,op(e2,e1)) = e1
    | ~ spl0_96 ),
    inference(component_clause,[status(thm)],[f736]) ).

fof(f738,plain,
    ( op(e2,op(e2,e1)) != e1
    | spl0_96 ),
    inference(component_clause,[status(thm)],[f736]) ).

fof(f739,plain,
    ( ~ spl0_64
    | spl0_94
    | spl0_96 ),
    inference(split_clause,[status(thm)],[f201,f601,f729,f736]) ).

fof(f740,plain,
    ( spl0_97
  <=> op(e2,op(e2,e2)) = e2 ),
    introduced(split_symbol_definition) ).

fof(f741,plain,
    ( op(e2,op(e2,e2)) = e2
    | ~ spl0_97 ),
    inference(component_clause,[status(thm)],[f740]) ).

fof(f743,plain,
    ( ~ spl0_64
    | spl0_94
    | spl0_97 ),
    inference(split_clause,[status(thm)],[f202,f601,f729,f740]) ).

fof(f744,plain,
    ( spl0_98
  <=> op(e2,op(e2,e3)) = e3 ),
    introduced(split_symbol_definition) ).

fof(f746,plain,
    ( op(e2,op(e2,e3)) != e3
    | spl0_98 ),
    inference(component_clause,[status(thm)],[f744]) ).

fof(f748,plain,
    ( ~ spl0_64
    | spl0_94
    | ~ spl0_2
    | spl0_8 ),
    inference(split_clause,[status(thm)],[f204,f601,f729,f367,f387]) ).

fof(f749,plain,
    ( ~ spl0_64
    | spl0_94
    | ~ spl0_22
    | spl0_25 ),
    inference(split_clause,[status(thm)],[f205,f601,f729,f432,f442]) ).

fof(f751,plain,
    ( ~ spl0_64
    | spl0_94
    | ~ spl0_62
    | spl0_59 ),
    inference(split_clause,[status(thm)],[f207,f601,f729,f562,f552]) ).

fof(f752,plain,
    ( spl0_99
  <=> pd0_3 ),
    introduced(split_symbol_definition) ).

fof(f755,plain,
    ( ~ spl0_69
    | spl0_99
    | spl0_59 ),
    inference(split_clause,[status(thm)],[f211,f624,f752,f552]) ).

fof(f756,plain,
    ( ~ spl0_69
    | spl0_99
    | spl0_47 ),
    inference(split_clause,[status(thm)],[f212,f624,f752,f513]) ).

fof(f757,plain,
    ( ~ spl0_69
    | spl0_99
    | ~ spl0_34
    | ~ spl0_40 ),
    inference(split_clause,[status(thm)],[f213,f624,f752,f471,f491]) ).

fof(f758,plain,
    ( ~ spl0_69
    | spl0_99
    | ~ spl0_38
    | ~ spl0_41 ),
    inference(split_clause,[status(thm)],[f214,f624,f752,f484,f494]) ).

fof(f759,plain,
    ( ~ spl0_69
    | spl0_99
    | ~ spl0_42 ),
    inference(split_clause,[status(thm)],[f215,f624,f752,f497]) ).

fof(f761,plain,
    ( spl0_100
  <=> pd0_4 ),
    introduced(split_symbol_definition) ).

fof(f764,plain,
    ( spl0_101
  <=> op(e1,op(e1,e0)) = e0 ),
    introduced(split_symbol_definition) ).

fof(f765,plain,
    ( op(e1,op(e1,e0)) = e0
    | ~ spl0_101 ),
    inference(component_clause,[status(thm)],[f764]) ).

fof(f767,plain,
    ( ~ spl0_94
    | spl0_100
    | spl0_101 ),
    inference(split_clause,[status(thm)],[f220,f729,f761,f764]) ).

fof(f768,plain,
    ( spl0_102
  <=> op(e1,op(e1,e1)) = e1 ),
    introduced(split_symbol_definition) ).

fof(f769,plain,
    ( op(e1,op(e1,e1)) = e1
    | ~ spl0_102 ),
    inference(component_clause,[status(thm)],[f768]) ).

fof(f771,plain,
    ( ~ spl0_94
    | spl0_100
    | spl0_102 ),
    inference(split_clause,[status(thm)],[f221,f729,f761,f768]) ).

fof(f772,plain,
    ( spl0_103
  <=> op(e1,op(e1,e2)) = e2 ),
    introduced(split_symbol_definition) ).

fof(f773,plain,
    ( op(e1,op(e1,e2)) = e2
    | ~ spl0_103 ),
    inference(component_clause,[status(thm)],[f772]) ).

fof(f775,plain,
    ( ~ spl0_94
    | spl0_100
    | spl0_103 ),
    inference(split_clause,[status(thm)],[f222,f729,f761,f772]) ).

fof(f776,plain,
    ( spl0_104
  <=> op(e1,op(e1,e3)) = e3 ),
    introduced(split_symbol_definition) ).

fof(f777,plain,
    ( op(e1,op(e1,e3)) = e3
    | ~ spl0_104 ),
    inference(component_clause,[status(thm)],[f776]) ).

fof(f778,plain,
    ( op(e1,op(e1,e3)) != e3
    | spl0_104 ),
    inference(component_clause,[status(thm)],[f776]) ).

fof(f779,plain,
    ( ~ spl0_94
    | spl0_100
    | spl0_104 ),
    inference(split_clause,[status(thm)],[f223,f729,f761,f776]) ).

fof(f780,plain,
    ( ~ spl0_94
    | spl0_100
    | ~ spl0_1
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f224,f729,f761,f364,f374]) ).

fof(f782,plain,
    ( ~ spl0_94
    | spl0_100
    | ~ spl0_41
    | spl0_38 ),
    inference(split_clause,[status(thm)],[f226,f729,f761,f494,f484]) ).

fof(f783,plain,
    ( ~ spl0_94
    | spl0_100
    | ~ spl0_61
    | spl0_55 ),
    inference(split_clause,[status(thm)],[f227,f729,f761,f559,f539]) ).

fof(f784,plain,
    ( spl0_105
  <=> pd0_5 ),
    introduced(split_symbol_definition) ).

fof(f787,plain,
    ( ~ spl0_99
    | spl0_105
    | spl0_55 ),
    inference(split_clause,[status(thm)],[f231,f752,f784,f539]) ).

fof(f788,plain,
    ( ~ spl0_99
    | spl0_105
    | spl0_31 ),
    inference(split_clause,[status(thm)],[f232,f752,f784,f461]) ).

fof(f789,plain,
    ( ~ spl0_99
    | spl0_105
    | ~ spl0_17
    | ~ spl0_20 ),
    inference(split_clause,[status(thm)],[f233,f752,f784,f416,f426]) ).

fof(f790,plain,
    ( ~ spl0_99
    | spl0_105
    | ~ spl0_21 ),
    inference(split_clause,[status(thm)],[f234,f752,f784,f429]) ).

fof(f791,plain,
    ( ~ spl0_99
    | spl0_105
    | ~ spl0_25
    | ~ spl0_22 ),
    inference(split_clause,[status(thm)],[f235,f752,f784,f442,f432]) ).

fof(f793,plain,
    ( spl0_106
  <=> op(e0,op(e0,e0)) = e0 ),
    introduced(split_symbol_definition) ).

fof(f794,plain,
    ( op(e0,op(e0,e0)) = e0
    | ~ spl0_106 ),
    inference(component_clause,[status(thm)],[f793]) ).

fof(f796,plain,
    ( ~ spl0_100
    | spl0_106 ),
    inference(split_clause,[status(thm)],[f238,f761,f793]) ).

fof(f797,plain,
    ( spl0_107
  <=> op(e0,op(e0,e1)) = e1 ),
    introduced(split_symbol_definition) ).

fof(f798,plain,
    ( op(e0,op(e0,e1)) = e1
    | ~ spl0_107 ),
    inference(component_clause,[status(thm)],[f797]) ).

fof(f800,plain,
    ( ~ spl0_100
    | spl0_107 ),
    inference(split_clause,[status(thm)],[f239,f761,f797]) ).

fof(f801,plain,
    ( spl0_108
  <=> op(e0,op(e0,e2)) = e2 ),
    introduced(split_symbol_definition) ).

fof(f802,plain,
    ( op(e0,op(e0,e2)) = e2
    | ~ spl0_108 ),
    inference(component_clause,[status(thm)],[f801]) ).

fof(f804,plain,
    ( ~ spl0_100
    | spl0_108 ),
    inference(split_clause,[status(thm)],[f240,f761,f801]) ).

fof(f805,plain,
    ( spl0_109
  <=> op(e0,op(e0,e3)) = e3 ),
    introduced(split_symbol_definition) ).

fof(f806,plain,
    ( op(e0,op(e0,e3)) = e3
    | ~ spl0_109 ),
    inference(component_clause,[status(thm)],[f805]) ).

fof(f807,plain,
    ( op(e0,op(e0,e3)) != e3
    | spl0_109 ),
    inference(component_clause,[status(thm)],[f805]) ).

fof(f808,plain,
    ( ~ spl0_100
    | spl0_109 ),
    inference(split_clause,[status(thm)],[f241,f761,f805]) ).

fof(f810,plain,
    ( ~ spl0_100
    | ~ spl0_20
    | spl0_17 ),
    inference(split_clause,[status(thm)],[f243,f761,f426,f416]) ).

fof(f811,plain,
    ( ~ spl0_100
    | ~ spl0_40
    | spl0_34 ),
    inference(split_clause,[status(thm)],[f244,f761,f491,f471]) ).

fof(f812,plain,
    ( ~ spl0_100
    | ~ spl0_60
    | spl0_51 ),
    inference(split_clause,[status(thm)],[f245,f761,f556,f526]) ).

fof(f813,plain,
    ( spl0_110
  <=> pd0_6 ),
    introduced(split_symbol_definition) ).

fof(f816,plain,
    ( ~ spl0_105
    | spl0_110
    | spl0_51 ),
    inference(split_clause,[status(thm)],[f249,f784,f813,f526]) ).

fof(f817,plain,
    ( ~ spl0_105
    | spl0_110
    | spl0_15 ),
    inference(split_clause,[status(thm)],[f250,f784,f813,f409]) ).

fof(f818,plain,
    ( ~ spl0_105
    | spl0_110
    | ~ spl0_0 ),
    inference(split_clause,[status(thm)],[f251,f784,f813,f361]) ).

fof(f819,plain,
    ( ~ spl0_105
    | spl0_110
    | ~ spl0_4
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f252,f784,f813,f374,f364]) ).

fof(f820,plain,
    ( ~ spl0_105
    | spl0_110
    | ~ spl0_8
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f253,f784,f813,f387,f367]) ).

fof(f821,plain,
    ( ~ spl0_105
    | spl0_110
    | ~ spl0_12
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f254,f784,f813,f400,f370]) ).

fof(f822,plain,
    ( spl0_111
  <=> pd0_7 ),
    introduced(split_symbol_definition) ).

fof(f825,plain,
    ( ~ spl0_110
    | spl0_111
    | spl0_46 ),
    inference(split_clause,[status(thm)],[f258,f813,f822,f510]) ).

fof(f826,plain,
    ( ~ spl0_110
    | spl0_111
    | spl0_58 ),
    inference(split_clause,[status(thm)],[f259,f813,f822,f549]) ).

fof(f827,plain,
    ( ~ spl0_110
    | spl0_111
    | ~ spl0_51
    | ~ spl0_60 ),
    inference(split_clause,[status(thm)],[f260,f813,f822,f526,f556]) ).

fof(f828,plain,
    ( ~ spl0_110
    | spl0_111
    | ~ spl0_55
    | ~ spl0_61 ),
    inference(split_clause,[status(thm)],[f261,f813,f822,f539,f559]) ).

fof(f830,plain,
    ( ~ spl0_110
    | spl0_111
    | ~ spl0_63 ),
    inference(split_clause,[status(thm)],[f263,f813,f822,f565]) ).

fof(f831,plain,
    ( spl0_112
  <=> pd0_8 ),
    introduced(split_symbol_definition) ).

fof(f834,plain,
    ( ~ spl0_111
    | spl0_112
    | spl0_42 ),
    inference(split_clause,[status(thm)],[f267,f822,f831,f497]) ).

fof(f838,plain,
    ( ~ spl0_111
    | spl0_112
    | ~ spl0_42 ),
    inference(split_clause,[status(thm)],[f271,f822,f831,f497]) ).

fof(f840,plain,
    ( spl0_113
  <=> pd0_9 ),
    introduced(split_symbol_definition) ).

fof(f843,plain,
    ( ~ spl0_112
    | spl0_113
    | spl0_38 ),
    inference(split_clause,[status(thm)],[f276,f831,f840,f484]) ).

fof(f844,plain,
    ( ~ spl0_112
    | spl0_113
    | spl0_26 ),
    inference(split_clause,[status(thm)],[f277,f831,f840,f445]) ).

fof(f845,plain,
    ( ~ spl0_112
    | spl0_113
    | ~ spl0_17
    | ~ spl0_20 ),
    inference(split_clause,[status(thm)],[f278,f831,f840,f416,f426]) ).

fof(f846,plain,
    ( ~ spl0_112
    | spl0_113
    | ~ spl0_21 ),
    inference(split_clause,[status(thm)],[f279,f831,f840,f429]) ).

fof(f848,plain,
    ( ~ spl0_112
    | spl0_113
    | ~ spl0_29
    | ~ spl0_23 ),
    inference(split_clause,[status(thm)],[f281,f831,f840,f455,f435]) ).

fof(f849,plain,
    ( spl0_114
  <=> pd0_10 ),
    introduced(split_symbol_definition) ).

fof(f852,plain,
    ( ~ spl0_113
    | spl0_114
    | spl0_34 ),
    inference(split_clause,[status(thm)],[f285,f840,f849,f471]) ).

fof(f853,plain,
    ( ~ spl0_113
    | spl0_114
    | spl0_10 ),
    inference(split_clause,[status(thm)],[f286,f840,f849,f393]) ).

fof(f854,plain,
    ( ~ spl0_113
    | spl0_114
    | ~ spl0_0 ),
    inference(split_clause,[status(thm)],[f287,f840,f849,f361]) ).

fof(f855,plain,
    ( ~ spl0_113
    | spl0_114
    | ~ spl0_4
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f288,f840,f849,f374,f364]) ).

fof(f857,plain,
    ( ~ spl0_113
    | spl0_114
    | ~ spl0_12
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f290,f840,f849,f400,f370]) ).

fof(f858,plain,
    ( spl0_115
  <=> pd0_11 ),
    introduced(split_symbol_definition) ).

fof(f861,plain,
    ( ~ spl0_114
    | spl0_115
    | spl0_29 ),
    inference(split_clause,[status(thm)],[f294,f849,f858,f455]) ).

fof(f862,plain,
    ( ~ spl0_114
    | spl0_115
    | spl0_53 ),
    inference(split_clause,[status(thm)],[f295,f849,f858,f533]) ).

fof(f863,plain,
    ( ~ spl0_114
    | spl0_115
    | ~ spl0_51
    | ~ spl0_60 ),
    inference(split_clause,[status(thm)],[f296,f849,f858,f526,f556]) ).

fof(f865,plain,
    ( ~ spl0_114
    | spl0_115
    | ~ spl0_59
    | ~ spl0_62 ),
    inference(split_clause,[status(thm)],[f298,f849,f858,f552,f562]) ).

fof(f866,plain,
    ( ~ spl0_114
    | spl0_115
    | ~ spl0_63 ),
    inference(split_clause,[status(thm)],[f299,f849,f858,f565]) ).

fof(f867,plain,
    ( spl0_116
  <=> pd0_12 ),
    introduced(split_symbol_definition) ).

fof(f870,plain,
    ( ~ spl0_115
    | spl0_116
    | spl0_25 ),
    inference(split_clause,[status(thm)],[f303,f858,f867,f442]) ).

fof(f871,plain,
    ( ~ spl0_115
    | spl0_116
    | spl0_37 ),
    inference(split_clause,[status(thm)],[f304,f858,f867,f481]) ).

fof(f872,plain,
    ( ~ spl0_115
    | spl0_116
    | ~ spl0_34
    | ~ spl0_40 ),
    inference(split_clause,[status(thm)],[f305,f858,f867,f471,f491]) ).

fof(f874,plain,
    ( ~ spl0_115
    | spl0_116
    | ~ spl0_42 ),
    inference(split_clause,[status(thm)],[f307,f858,f867,f497]) ).

fof(f875,plain,
    ( ~ spl0_115
    | spl0_116
    | ~ spl0_46
    | ~ spl0_43 ),
    inference(split_clause,[status(thm)],[f308,f858,f867,f510,f500]) ).

fof(f876,plain,
    ( spl0_117
  <=> pd0_13 ),
    introduced(split_symbol_definition) ).

fof(f879,plain,
    ( ~ spl0_116
    | spl0_117
    | spl0_21 ),
    inference(split_clause,[status(thm)],[f312,f867,f876,f429]) ).

fof(f881,plain,
    ( ~ spl0_116
    | spl0_117
    | ~ spl0_17
    | ~ spl0_20 ),
    inference(split_clause,[status(thm)],[f314,f867,f876,f416,f426]) ).

fof(f882,plain,
    ( ~ spl0_116
    | spl0_117
    | ~ spl0_21 ),
    inference(split_clause,[status(thm)],[f315,f867,f876,f429]) ).

fof(f884,plain,
    ( ~ spl0_116
    | spl0_117
    | ~ spl0_29
    | ~ spl0_23 ),
    inference(split_clause,[status(thm)],[f317,f867,f876,f455,f435]) ).

fof(f885,plain,
    ( spl0_118
  <=> pd0_14 ),
    introduced(split_symbol_definition) ).

fof(f888,plain,
    ( ~ spl0_117
    | spl0_118
    | spl0_17 ),
    inference(split_clause,[status(thm)],[f321,f876,f885,f416]) ).

fof(f889,plain,
    ( ~ spl0_117
    | spl0_118
    | spl0_5 ),
    inference(split_clause,[status(thm)],[f322,f876,f885,f377]) ).

fof(f890,plain,
    ( ~ spl0_117
    | spl0_118
    | ~ spl0_0 ),
    inference(split_clause,[status(thm)],[f323,f876,f885,f361]) ).

fof(f892,plain,
    ( ~ spl0_117
    | spl0_118
    | ~ spl0_8
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f325,f876,f885,f387,f367]) ).

fof(f893,plain,
    ( ~ spl0_117
    | spl0_118
    | ~ spl0_12
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f326,f876,f885,f400,f370]) ).

fof(f894,plain,
    ( spl0_119
  <=> pd0_15 ),
    introduced(split_symbol_definition) ).

fof(f897,plain,
    ( ~ spl0_118
    | spl0_119
    | spl0_12 ),
    inference(split_clause,[status(thm)],[f330,f885,f894,f400]) ).

fof(f898,plain,
    ( ~ spl0_118
    | spl0_119
    | spl0_48 ),
    inference(split_clause,[status(thm)],[f331,f885,f894,f517]) ).

fof(f899,plain,
    ( ~ spl0_118
    | spl0_119
    | ~ spl0_51
    | ~ spl0_60 ),
    inference(split_clause,[status(thm)],[f332,f885,f894,f526,f556]) ).

fof(f900,plain,
    ( ~ spl0_118
    | spl0_119
    | ~ spl0_55
    | ~ spl0_61 ),
    inference(split_clause,[status(thm)],[f333,f885,f894,f539,f559]) ).

fof(f901,plain,
    ( ~ spl0_118
    | spl0_119
    | ~ spl0_59
    | ~ spl0_62 ),
    inference(split_clause,[status(thm)],[f334,f885,f894,f552,f562]) ).

fof(f902,plain,
    ( ~ spl0_118
    | spl0_119
    | ~ spl0_63 ),
    inference(split_clause,[status(thm)],[f335,f885,f894,f565]) ).

fof(f903,plain,
    ( spl0_120
  <=> pd0_16 ),
    introduced(split_symbol_definition) ).

fof(f906,plain,
    ( ~ spl0_119
    | spl0_120
    | spl0_8 ),
    inference(split_clause,[status(thm)],[f339,f894,f903,f387]) ).

fof(f907,plain,
    ( ~ spl0_119
    | spl0_120
    | spl0_32 ),
    inference(split_clause,[status(thm)],[f340,f894,f903,f465]) ).

fof(f909,plain,
    ( ~ spl0_119
    | spl0_120
    | ~ spl0_38
    | ~ spl0_41 ),
    inference(split_clause,[status(thm)],[f342,f894,f903,f484,f494]) ).

fof(f910,plain,
    ( ~ spl0_119
    | spl0_120
    | ~ spl0_42 ),
    inference(split_clause,[status(thm)],[f343,f894,f903,f497]) ).

fof(f911,plain,
    ( ~ spl0_119
    | spl0_120
    | ~ spl0_46
    | ~ spl0_43 ),
    inference(split_clause,[status(thm)],[f344,f894,f903,f510,f500]) ).

fof(f912,plain,
    ( spl0_121
  <=> pd0_17 ),
    introduced(split_symbol_definition) ).

fof(f915,plain,
    ( ~ spl0_120
    | spl0_121
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f348,f903,f912,f374]) ).

fof(f916,plain,
    ( ~ spl0_120
    | spl0_121
    | spl0_16 ),
    inference(split_clause,[status(thm)],[f349,f903,f912,f413]) ).

fof(f917,plain,
    ( ~ spl0_120
    | spl0_121
    | ~ spl0_17
    | ~ spl0_20 ),
    inference(split_clause,[status(thm)],[f350,f903,f912,f416,f426]) ).

fof(f918,plain,
    ( ~ spl0_120
    | spl0_121
    | ~ spl0_21 ),
    inference(split_clause,[status(thm)],[f351,f903,f912,f429]) ).

fof(f919,plain,
    ( ~ spl0_120
    | spl0_121
    | ~ spl0_25
    | ~ spl0_22 ),
    inference(split_clause,[status(thm)],[f352,f903,f912,f442,f432]) ).

fof(f920,plain,
    ( ~ spl0_120
    | spl0_121
    | ~ spl0_29
    | ~ spl0_23 ),
    inference(split_clause,[status(thm)],[f353,f903,f912,f455,f435]) ).

fof(f921,plain,
    ( ~ spl0_121
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f355,f912,f361]) ).

fof(f923,plain,
    ( ~ spl0_121
    | ~ spl0_0 ),
    inference(split_clause,[status(thm)],[f357,f912,f361]) ).

fof(f924,plain,
    ( ~ spl0_121
    | ~ spl0_4
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f358,f912,f374,f364]) ).

fof(f925,plain,
    ( ~ spl0_121
    | ~ spl0_8
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f359,f912,f387,f367]) ).

fof(f926,plain,
    ( ~ spl0_121
    | ~ spl0_12
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f360,f912,f400,f370]) ).

fof(f927,plain,
    ( e3 = e2
    | ~ spl0_31
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f462,f459]) ).

fof(f928,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[status(thm)],[f927,f131]) ).

fof(f929,plain,
    ( ~ spl0_31
    | ~ spl0_30 ),
    inference(contradiction_clause,[status(thm)],[f928]) ).

fof(f930,plain,
    ( e3 = e2
    | ~ spl0_15
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f410,f407]) ).

fof(f931,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f930,f131]) ).

fof(f932,plain,
    ( ~ spl0_15
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f931]) ).

fof(f933,plain,
    ( e1 = e2
    | ~ spl0_53
    | ~ spl0_54 ),
    inference(forward_demodulation,[status(thm)],[f534,f537]) ).

fof(f934,plain,
    ( $false
    | ~ spl0_53
    | ~ spl0_54 ),
    inference(forward_subsumption_resolution,[status(thm)],[f933,f129]) ).

fof(f935,plain,
    ( ~ spl0_53
    | ~ spl0_54 ),
    inference(contradiction_clause,[status(thm)],[f934]) ).

fof(f936,plain,
    ( e0 = e2
    | ~ spl0_48
    | ~ spl0_50 ),
    inference(forward_demodulation,[status(thm)],[f518,f524]) ).

fof(f937,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[status(thm)],[f936,f127]) ).

fof(f938,plain,
    ( ~ spl0_48
    | ~ spl0_50 ),
    inference(contradiction_clause,[status(thm)],[f937]) ).

fof(f939,plain,
    ( e3 = e1
    | ~ spl0_47
    | ~ spl0_45 ),
    inference(forward_demodulation,[status(thm)],[f514,f508]) ).

fof(f940,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_45 ),
    inference(forward_subsumption_resolution,[status(thm)],[f939,f130]) ).

fof(f941,plain,
    ( ~ spl0_47
    | ~ spl0_45 ),
    inference(contradiction_clause,[status(thm)],[f940]) ).

fof(f942,plain,
    ( e2 = e1
    | ~ spl0_58
    | ~ spl0_57 ),
    inference(forward_demodulation,[status(thm)],[f550,f547]) ).

fof(f943,plain,
    ( $false
    | ~ spl0_58
    | ~ spl0_57 ),
    inference(forward_subsumption_resolution,[status(thm)],[f942,f129]) ).

fof(f944,plain,
    ( ~ spl0_58
    | ~ spl0_57 ),
    inference(contradiction_clause,[status(thm)],[f943]) ).

fof(f945,plain,
    ( e2 = e3
    | ~ spl0_26
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f446,f449]) ).

fof(f946,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f945,f131]) ).

fof(f947,plain,
    ( ~ spl0_26
    | ~ spl0_27 ),
    inference(contradiction_clause,[status(thm)],[f946]) ).

fof(f948,plain,
    ( e1 = e3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f378,f384]) ).

fof(f949,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[status(thm)],[f948,f130]) ).

fof(f950,plain,
    ( ~ spl0_5
    | ~ spl0_7 ),
    inference(contradiction_clause,[status(thm)],[f949]) ).

fof(f951,plain,
    ( op(e3,e1) = e0
    | ~ spl0_49
    | ~ spl0_65 ),
    inference(forward_demodulation,[status(thm)],[f521,f605]) ).

fof(f952,plain,
    ( op(e0,e1) = e3
    | ~ spl0_13
    | ~ spl0_109 ),
    inference(forward_demodulation,[status(thm)],[f404,f806]) ).

fof(f957,plain,
    ( e0 != op(e2,e1)
    | ~ spl0_32 ),
    inference(backward_demodulation,[status(thm)],[f466,f114]) ).

fof(f958,plain,
    ( e0 != e0
    | ~ spl0_36
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f479,f957]) ).

fof(f959,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_32 ),
    inference(trivial_equality_resolution,[status(esa)],[f958]) ).

fof(f960,plain,
    ( ~ spl0_36
    | ~ spl0_32 ),
    inference(contradiction_clause,[status(thm)],[f959]) ).

fof(f961,plain,
    ( e2 != op(e0,e3)
    | ~ spl0_10 ),
    inference(backward_demodulation,[status(thm)],[f394,f107]) ).

fof(f963,plain,
    ( op(e0,e1) != e2
    | ~ spl0_10 ),
    inference(backward_demodulation,[status(thm)],[f394,f105]) ).

fof(f965,plain,
    ( op(e0,e0) != e2
    | ~ spl0_10 ),
    inference(backward_demodulation,[status(thm)],[f394,f103]) ).

fof(f966,plain,
    ( ~ spl0_2
    | ~ spl0_10 ),
    inference(split_clause,[status(thm)],[f965,f367,f393]) ).

fof(f972,plain,
    ( e1 != op(e1,e3)
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f404,f96]) ).

fof(f975,plain,
    ( op(e0,e0) != e1
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f404,f104]) ).

fof(f976,plain,
    ( e1 != op(e3,e3)
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f404,f98]) ).

fof(f977,plain,
    ( op(e1,e2) != e3
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f462,f113]) ).

fof(f980,plain,
    ( op(e0,e3) != e3
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f462,f96]) ).

fof(f981,plain,
    ( ~ spl0_15
    | ~ spl0_31 ),
    inference(split_clause,[status(thm)],[f980,f409,f461]) ).

fof(f983,plain,
    ( e0 = e3
    | ~ spl0_49
    | ~ spl0_65
    | ~ spl0_55 ),
    inference(forward_demodulation,[status(thm)],[f951,f540]) ).

fof(f984,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_65
    | ~ spl0_55 ),
    inference(forward_subsumption_resolution,[status(thm)],[f983,f128]) ).

fof(f985,plain,
    ( ~ spl0_49
    | ~ spl0_65
    | ~ spl0_55 ),
    inference(contradiction_clause,[status(thm)],[f984]) ).

fof(f987,plain,
    ( e1 != op(e2,e3)
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f404,f97]) ).

fof(f989,plain,
    ( e2 != op(e1,e3)
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f420,f110]) ).

fof(f990,plain,
    ( e2 != op(e1,e2)
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f420,f109]) ).

fof(f992,plain,
    ( e2 != op(e1,e1)
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f420,f108]) ).

fof(f993,plain,
    ( e2 != e2
    | ~ spl0_22
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f433,f992]) ).

fof(f994,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_18 ),
    inference(trivial_equality_resolution,[status(esa)],[f993]) ).

fof(f995,plain,
    ( ~ spl0_22
    | ~ spl0_18 ),
    inference(contradiction_clause,[status(thm)],[f994]) ).

fof(f996,plain,
    ( e2 != op(e3,e0)
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f420,f82]) ).

fof(f997,plain,
    ( e2 != op(e2,e0)
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f420,f81]) ).

fof(f998,plain,
    ( op(e0,e0) != e2
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f420,f78]) ).

fof(f999,plain,
    ( e3 != op(e2,e1)
    | ~ spl0_13
    | ~ spl0_109 ),
    inference(forward_demodulation,[status(thm)],[f952,f85]) ).

fof(f1002,plain,
    ( op(e2,e2) != e3
    | ~ spl0_47 ),
    inference(backward_demodulation,[status(thm)],[f514,f119]) ).

fof(f1004,plain,
    ( op(e1,e3) != e3
    | ~ spl0_47 ),
    inference(backward_demodulation,[status(thm)],[f514,f99]) ).

fof(f1010,plain,
    ( e1 != op(e2,e2)
    | ~ spl0_37 ),
    inference(backward_demodulation,[status(thm)],[f482,f117]) ).

fof(f1012,plain,
    ( op(e1,e1) != e1
    | ~ spl0_37 ),
    inference(backward_demodulation,[status(thm)],[f482,f87]) ).

fof(f1013,plain,
    ( op(e0,e1) != e1
    | ~ spl0_37 ),
    inference(backward_demodulation,[status(thm)],[f482,f85]) ).

fof(f1015,plain,
    ( e0 != op(e1,e3)
    | ~ spl0_16 ),
    inference(backward_demodulation,[status(thm)],[f414,f110]) ).

fof(f1016,plain,
    ( e0 != op(e1,e2)
    | ~ spl0_16 ),
    inference(backward_demodulation,[status(thm)],[f414,f109]) ).

fof(f1017,plain,
    ( e0 != e0
    | ~ spl0_24
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f440,f1016]) ).

fof(f1018,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_16 ),
    inference(trivial_equality_resolution,[status(esa)],[f1017]) ).

fof(f1019,plain,
    ( ~ spl0_24
    | ~ spl0_16 ),
    inference(contradiction_clause,[status(thm)],[f1018]) ).

fof(f1020,plain,
    ( e1 = e3
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f391,f397]) ).

fof(f1021,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1020,f130]) ).

fof(f1022,plain,
    ( ~ spl0_9
    | ~ spl0_11 ),
    inference(contradiction_clause,[status(thm)],[f1021]) ).

fof(f1023,plain,
    ( e3 = e0
    | ~ spl0_47
    | ~ spl0_44 ),
    inference(forward_demodulation,[status(thm)],[f514,f505]) ).

fof(f1024,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_44 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1023,f128]) ).

fof(f1025,plain,
    ( ~ spl0_47
    | ~ spl0_44 ),
    inference(contradiction_clause,[status(thm)],[f1024]) ).

fof(f1026,plain,
    ( e1 = e3
    | ~ spl0_37
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f482,f488]) ).

fof(f1027,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1026,f130]) ).

fof(f1028,plain,
    ( ~ spl0_37
    | ~ spl0_39 ),
    inference(contradiction_clause,[status(thm)],[f1027]) ).

fof(f1029,plain,
    ( e3 = e1
    | ~ spl0_35
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f475,f469]) ).

fof(f1030,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1029,f130]) ).

fof(f1031,plain,
    ( ~ spl0_35
    | ~ spl0_33 ),
    inference(contradiction_clause,[status(thm)],[f1030]) ).

fof(f1033,plain,
    ( op(e0,e2) != e1
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f404,f107]) ).

fof(f1034,plain,
    ( e3 != op(e0,e2)
    | ~ spl0_13
    | ~ spl0_109 ),
    inference(forward_demodulation,[status(thm)],[f952,f105]) ).

fof(f1035,plain,
    ( op(e0,e2) != e0
    | ~ spl0_56 ),
    inference(forward_demodulation,[status(thm)],[f544,f92]) ).

fof(f1036,plain,
    ( op(e3,e0) = e1
    | ~ spl0_52
    | ~ spl0_66 ),
    inference(forward_demodulation,[status(thm)],[f531,f609]) ).

fof(f1041,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f365,f975]) ).

fof(f1042,plain,
    ( ~ spl0_13
    | ~ spl0_1 ),
    inference(contradiction_clause,[status(thm)],[f1041]) ).

fof(f1043,plain,
    ( e0 != op(e3,e2)
    | ~ spl0_48 ),
    inference(backward_demodulation,[status(thm)],[f518,f121]) ).

fof(f1044,plain,
    ( e0 != e0
    | ~ spl0_56
    | ~ spl0_48 ),
    inference(forward_demodulation,[status(thm)],[f544,f1043]) ).

fof(f1045,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_48 ),
    inference(trivial_equality_resolution,[status(esa)],[f1044]) ).

fof(f1046,plain,
    ( ~ spl0_56
    | ~ spl0_48 ),
    inference(contradiction_clause,[status(thm)],[f1045]) ).

fof(f1047,plain,
    ( e0 != op(e3,e1)
    | ~ spl0_48 ),
    inference(backward_demodulation,[status(thm)],[f518,f120]) ).

fof(f1048,plain,
    ( e0 != e0
    | ~ spl0_52
    | ~ spl0_48 ),
    inference(forward_demodulation,[status(thm)],[f531,f1047]) ).

fof(f1049,plain,
    ( $false
    | ~ spl0_52
    | ~ spl0_48 ),
    inference(trivial_equality_resolution,[status(esa)],[f1048]) ).

fof(f1050,plain,
    ( ~ spl0_52
    | ~ spl0_48 ),
    inference(contradiction_clause,[status(thm)],[f1049]) ).

fof(f1053,plain,
    ( op(e0,e0) != e1
    | ~ spl0_5 ),
    inference(backward_demodulation,[status(thm)],[f378,f102]) ).

fof(f1057,plain,
    ( e3 != op(e1,e2)
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f436,f111]) ).

fof(f1058,plain,
    ( e1 = e2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f378,f381]) ).

fof(f1059,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1058,f129]) ).

fof(f1060,plain,
    ( ~ spl0_5
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f1059]) ).

fof(f1062,plain,
    ( ~ spl0_43
    | ~ spl0_47 ),
    inference(split_clause,[status(thm)],[f1002,f500,f513]) ).

fof(f1070,plain,
    ( ~ spl0_50
    | ~ spl0_18 ),
    inference(split_clause,[status(thm)],[f996,f523,f419]) ).

fof(f1071,plain,
    ( ~ spl0_34
    | ~ spl0_18 ),
    inference(split_clause,[status(thm)],[f997,f471,f419]) ).

fof(f1072,plain,
    ( op(e2,e2) != e3
    | ~ spl0_59 ),
    inference(backward_demodulation,[status(thm)],[f553,f95]) ).

fof(f1073,plain,
    ( ~ spl0_43
    | ~ spl0_59 ),
    inference(split_clause,[status(thm)],[f1072,f500,f552]) ).

fof(f1074,plain,
    ( op(e3,e0) != e3
    | ~ spl0_59 ),
    inference(backward_demodulation,[status(thm)],[f553,f121]) ).

fof(f1075,plain,
    ( op(e3,e1) != e3
    | ~ spl0_59 ),
    inference(backward_demodulation,[status(thm)],[f553,f123]) ).

fof(f1077,plain,
    ( $false
    | ~ spl0_59
    | ~ spl0_51 ),
    inference(forward_subsumption_resolution,[status(thm)],[f527,f1074]) ).

fof(f1078,plain,
    ( ~ spl0_59
    | ~ spl0_51 ),
    inference(contradiction_clause,[status(thm)],[f1077]) ).

fof(f1079,plain,
    ( e1 != op(e3,e0)
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f469,f83]) ).

fof(f1081,plain,
    ( op(e1,e0) = e3
    | ~ spl0_28
    | ~ spl0_104 ),
    inference(forward_demodulation,[status(thm)],[f453,f777]) ).

fof(f1083,plain,
    ( spl0_7
    | ~ spl0_13
    | ~ spl0_109 ),
    inference(split_clause,[status(thm)],[f952,f383,f403,f805]) ).

fof(f1084,plain,
    ( ~ spl0_61
    | ~ spl0_13 ),
    inference(split_clause,[status(thm)],[f976,f559,f403]) ).

fof(f1085,plain,
    ( ~ spl0_45
    | ~ spl0_13 ),
    inference(split_clause,[status(thm)],[f987,f507,f403]) ).

fof(f1086,plain,
    ( ~ spl0_39
    | ~ spl0_13
    | ~ spl0_109 ),
    inference(split_clause,[status(thm)],[f999,f487,f403,f805]) ).

fof(f1087,plain,
    ( ~ spl0_11
    | ~ spl0_13
    | ~ spl0_109 ),
    inference(split_clause,[status(thm)],[f1034,f396,f403,f805]) ).

fof(f1088,plain,
    ( ~ spl0_29
    | ~ spl0_13 ),
    inference(split_clause,[status(thm)],[f972,f455,f403]) ).

fof(f1089,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[status(thm)],[f521,f1079]) ).

fof(f1090,plain,
    ( ~ spl0_33
    | ~ spl0_49 ),
    inference(contradiction_clause,[status(thm)],[f1089]) ).

fof(f1091,plain,
    ( e1 != op(e3,e3)
    | ~ spl0_53 ),
    inference(backward_demodulation,[status(thm)],[f534,f124]) ).

fof(f1092,plain,
    ( e1 != op(e3,e2)
    | ~ spl0_53 ),
    inference(backward_demodulation,[status(thm)],[f534,f123]) ).

fof(f1094,plain,
    ( op(e0,e1) != e1
    | ~ spl0_53 ),
    inference(backward_demodulation,[status(thm)],[f534,f86]) ).

fof(f1095,plain,
    ( ~ spl0_5
    | ~ spl0_53 ),
    inference(split_clause,[status(thm)],[f1094,f377,f533]) ).

fof(f1096,plain,
    ( e2 != op(e3,e3)
    | ~ spl0_58 ),
    inference(backward_demodulation,[status(thm)],[f550,f125]) ).

fof(f1099,plain,
    ( op(e1,e2) != e2
    | ~ spl0_58 ),
    inference(backward_demodulation,[status(thm)],[f550,f94]) ).

fof(f1100,plain,
    ( ~ spl0_26
    | ~ spl0_58 ),
    inference(split_clause,[status(thm)],[f1099,f445,f549]) ).

fof(f1101,plain,
    ( e0 != op(e3,e0)
    | ~ spl0_16 ),
    inference(backward_demodulation,[status(thm)],[f414,f82]) ).

fof(f1102,plain,
    ( ~ spl0_48
    | ~ spl0_16 ),
    inference(split_clause,[status(thm)],[f1101,f517,f413]) ).

fof(f1104,plain,
    ( op(e0,e0) != e0
    | ~ spl0_16 ),
    inference(backward_demodulation,[status(thm)],[f414,f78]) ).

fof(f1105,plain,
    ( e3 = e0
    | ~ spl0_19
    | ~ spl0_16 ),
    inference(forward_demodulation,[status(thm)],[f423,f414]) ).

fof(f1106,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1105,f128]) ).

fof(f1107,plain,
    ( ~ spl0_19
    | ~ spl0_16 ),
    inference(contradiction_clause,[status(thm)],[f1106]) ).

fof(f1110,plain,
    ( op(e3,e1) != e2
    | ~ spl0_58 ),
    inference(forward_demodulation,[status(thm)],[f550,f123]) ).

fof(f1111,plain,
    ( op(e3,e0) != e2
    | ~ spl0_58 ),
    inference(forward_demodulation,[status(thm)],[f550,f121]) ).

fof(f1115,plain,
    ( ~ spl0_1
    | ~ spl0_5 ),
    inference(split_clause,[status(thm)],[f1053,f364,f377]) ).

fof(f1116,plain,
    ( e0 = e1
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f375,f378]) ).

fof(f1117,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1116,f126]) ).

fof(f1118,plain,
    ( ~ spl0_4
    | ~ spl0_5 ),
    inference(contradiction_clause,[status(thm)],[f1117]) ).

fof(f1121,plain,
    ( e2 != op(e2,e3)
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f485,f118]) ).

fof(f1122,plain,
    ( e2 != e2
    | ~ spl0_46
    | ~ spl0_38 ),
    inference(forward_demodulation,[status(thm)],[f511,f1121]) ).

fof(f1123,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_38 ),
    inference(trivial_equality_resolution,[status(esa)],[f1122]) ).

fof(f1124,plain,
    ( ~ spl0_46
    | ~ spl0_38 ),
    inference(contradiction_clause,[status(thm)],[f1123]) ).

fof(f1127,plain,
    ( e1 != op(e1,e2)
    | ~ spl0_17 ),
    inference(backward_demodulation,[status(thm)],[f417,f109]) ).

fof(f1128,plain,
    ( ~ spl0_25
    | ~ spl0_17 ),
    inference(split_clause,[status(thm)],[f1127,f442,f416]) ).

fof(f1129,plain,
    ( e1 != op(e3,e0)
    | ~ spl0_17 ),
    inference(backward_demodulation,[status(thm)],[f417,f82]) ).

fof(f1130,plain,
    ( ~ spl0_49
    | ~ spl0_17 ),
    inference(split_clause,[status(thm)],[f1129,f520,f416]) ).

fof(f1131,plain,
    ( e1 != op(e2,e0)
    | ~ spl0_17 ),
    inference(backward_demodulation,[status(thm)],[f417,f81]) ).

fof(f1133,plain,
    ( op(e0,e3) != e0
    | ~ spl0_28 ),
    inference(backward_demodulation,[status(thm)],[f453,f96]) ).

fof(f1134,plain,
    ( ~ spl0_12
    | ~ spl0_28 ),
    inference(split_clause,[status(thm)],[f1133,f400,f452]) ).

fof(f1136,plain,
    ( op(e1,e1) != e0
    | ~ spl0_28 ),
    inference(backward_demodulation,[status(thm)],[f453,f112]) ).

fof(f1137,plain,
    ( ~ spl0_20
    | ~ spl0_28 ),
    inference(split_clause,[status(thm)],[f1136,f426,f452]) ).

fof(f1139,plain,
    ( op(e1,e2) != e0
    | ~ spl0_28 ),
    inference(backward_demodulation,[status(thm)],[f453,f113]) ).

fof(f1140,plain,
    ( op(e0,e0) != e3
    | ~ spl0_12
    | spl0_109 ),
    inference(forward_demodulation,[status(thm)],[f401,f807]) ).

fof(f1143,plain,
    ( e0 != op(e2,e3)
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f401,f97]) ).

fof(f1144,plain,
    ( op(e0,e2) != e0
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f401,f107]) ).

fof(f1151,plain,
    ( ~ spl0_27
    | ~ spl0_23 ),
    inference(split_clause,[status(thm)],[f1057,f448,f435]) ).

fof(f1154,plain,
    ( e0 != op(e2,e2)
    | ~ spl0_8 ),
    inference(backward_demodulation,[status(thm)],[f388,f91]) ).

fof(f1155,plain,
    ( ~ spl0_40
    | ~ spl0_8 ),
    inference(split_clause,[status(thm)],[f1154,f491,f387]) ).

fof(f1156,plain,
    ( op(e0,e0) = e2
    | ~ spl0_8
    | ~ spl0_108 ),
    inference(backward_demodulation,[status(thm)],[f388,f802]) ).

fof(f1157,plain,
    ( spl0_2
    | ~ spl0_8
    | ~ spl0_108 ),
    inference(split_clause,[status(thm)],[f1156,f367,f387,f801]) ).

fof(f1158,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f388,f1144]) ).

fof(f1159,plain,
    ( ~ spl0_12
    | ~ spl0_8 ),
    inference(contradiction_clause,[status(thm)],[f1158]) ).

fof(f1160,plain,
    ( op(e3,e3) = e2
    | ~ spl0_59
    | ~ spl0_67 ),
    inference(backward_demodulation,[status(thm)],[f553,f613]) ).

fof(f1161,plain,
    ( spl0_62
    | ~ spl0_59
    | ~ spl0_67 ),
    inference(split_clause,[status(thm)],[f1160,f562,f552,f612]) ).

fof(f1163,plain,
    ( e3 != op(e3,e3)
    | ~ spl0_59 ),
    inference(backward_demodulation,[status(thm)],[f553,f125]) ).

fof(f1164,plain,
    ( ~ spl0_63
    | ~ spl0_59 ),
    inference(split_clause,[status(thm)],[f1163,f565,f552]) ).

fof(f1166,plain,
    ( op(e1,e2) != e3
    | ~ spl0_59 ),
    inference(backward_demodulation,[status(thm)],[f553,f94]) ).

fof(f1170,plain,
    ( op(e0,e0) != e0
    | ~ spl0_32 ),
    inference(backward_demodulation,[status(thm)],[f466,f79]) ).

fof(f1171,plain,
    ( ~ spl0_0
    | ~ spl0_32 ),
    inference(split_clause,[status(thm)],[f1170,f361,f465]) ).

fof(f1172,plain,
    ( ~ spl0_41
    | ~ spl0_37 ),
    inference(split_clause,[status(thm)],[f1010,f494,f481]) ).

fof(f1184,plain,
    ( e0 != op(e3,e3)
    | ~ spl0_52 ),
    inference(backward_demodulation,[status(thm)],[f531,f124]) ).

fof(f1185,plain,
    ( ~ spl0_60
    | ~ spl0_52 ),
    inference(split_clause,[status(thm)],[f1184,f556,f530]) ).

fof(f1190,plain,
    ( op(e0,e0) != e1
    | ~ spl0_52
    | ~ spl0_66 ),
    inference(backward_demodulation,[status(thm)],[f1036,f80]) ).

fof(f1191,plain,
    ( ~ spl0_1
    | ~ spl0_52
    | ~ spl0_66 ),
    inference(split_clause,[status(thm)],[f1190,f364,f530,f608]) ).

fof(f1192,plain,
    ( e1 != op(e3,e3)
    | ~ spl0_52
    | ~ spl0_66 ),
    inference(backward_demodulation,[status(thm)],[f1036,f122]) ).

fof(f1193,plain,
    ( ~ spl0_61
    | ~ spl0_52
    | ~ spl0_66 ),
    inference(split_clause,[status(thm)],[f1192,f559,f530,f608]) ).

fof(f1194,plain,
    ( e3 = e0
    | ~ spl0_59
    | ~ spl0_56 ),
    inference(forward_demodulation,[status(thm)],[f553,f544]) ).

fof(f1195,plain,
    ( $false
    | ~ spl0_59
    | ~ spl0_56 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1194,f128]) ).

fof(f1196,plain,
    ( ~ spl0_59
    | ~ spl0_56 ),
    inference(contradiction_clause,[status(thm)],[f1195]) ).

fof(f1197,plain,
    ( e0 = e2
    | ~ spl0_52
    | ~ spl0_54 ),
    inference(forward_demodulation,[status(thm)],[f531,f537]) ).

fof(f1198,plain,
    ( $false
    | ~ spl0_52
    | ~ spl0_54 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1197,f127]) ).

fof(f1199,plain,
    ( ~ spl0_52
    | ~ spl0_54 ),
    inference(contradiction_clause,[status(thm)],[f1198]) ).

fof(f1205,plain,
    ( e2 != op(e3,e3)
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f407,f98]) ).

fof(f1206,plain,
    ( op(e0,e0) != e2
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f407,f104]) ).

fof(f1208,plain,
    ( op(e0,e2) != e3
    | ~ spl0_14
    | spl0_109 ),
    inference(forward_demodulation,[status(thm)],[f407,f807]) ).

fof(f1212,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f368,f1206]) ).

fof(f1213,plain,
    ( ~ spl0_14
    | ~ spl0_2 ),
    inference(contradiction_clause,[status(thm)],[f1212]) ).

fof(f1220,plain,
    ( e3 = e1
    | ~ spl0_19
    | ~ spl0_17 ),
    inference(forward_demodulation,[status(thm)],[f423,f417]) ).

fof(f1221,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1220,f130]) ).

fof(f1222,plain,
    ( ~ spl0_19
    | ~ spl0_17 ),
    inference(contradiction_clause,[status(thm)],[f1221]) ).

fof(f1223,plain,
    ( op(e1,e3) = e0
    | ~ spl0_19
    | ~ spl0_101 ),
    inference(forward_demodulation,[status(thm)],[f423,f765]) ).

fof(f1224,plain,
    ( e2 = e0
    | ~ spl0_30
    | ~ spl0_19
    | ~ spl0_101 ),
    inference(forward_demodulation,[status(thm)],[f459,f1223]) ).

fof(f1225,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_19
    | ~ spl0_101 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1224,f127]) ).

fof(f1226,plain,
    ( ~ spl0_30
    | ~ spl0_19
    | ~ spl0_101 ),
    inference(contradiction_clause,[status(thm)],[f1225]) ).

fof(f1233,plain,
    ( op(e1,e2) = e3
    | ~ spl0_30
    | ~ spl0_104 ),
    inference(forward_demodulation,[status(thm)],[f459,f777]) ).

fof(f1240,plain,
    ( e3 != e3
    | ~ spl0_30
    | ~ spl0_104
    | ~ spl0_59 ),
    inference(forward_demodulation,[status(thm)],[f1233,f1166]) ).

fof(f1241,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_104
    | ~ spl0_59 ),
    inference(trivial_equality_resolution,[status(esa)],[f1240]) ).

fof(f1242,plain,
    ( ~ spl0_30
    | ~ spl0_104
    | ~ spl0_59 ),
    inference(contradiction_clause,[status(thm)],[f1241]) ).

fof(f1247,plain,
    ( ~ spl0_6
    | ~ spl0_10 ),
    inference(split_clause,[status(thm)],[f963,f380,f393]) ).

fof(f1248,plain,
    ( ~ spl0_14
    | ~ spl0_10 ),
    inference(split_clause,[status(thm)],[f961,f406,f393]) ).

fof(f1257,plain,
    ( e3 = e2
    | ~ spl0_7
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f384,f381]) ).

fof(f1258,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1257,f131]) ).

fof(f1259,plain,
    ( ~ spl0_7
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f1258]) ).

fof(f1260,plain,
    ( ~ spl0_61
    | ~ spl0_53 ),
    inference(split_clause,[status(thm)],[f1091,f559,f533]) ).

fof(f1263,plain,
    ( op(e3,e0) != e1
    | ~ spl0_53 ),
    inference(backward_demodulation,[status(thm)],[f534,f120]) ).

fof(f1264,plain,
    ( ~ spl0_49
    | ~ spl0_53 ),
    inference(split_clause,[status(thm)],[f1263,f520,f533]) ).

fof(f1267,plain,
    ( op(e2,e1) != e1
    | ~ spl0_53 ),
    inference(backward_demodulation,[status(thm)],[f534,f89]) ).

fof(f1268,plain,
    ( ~ spl0_37
    | ~ spl0_53 ),
    inference(split_clause,[status(thm)],[f1267,f481,f533]) ).

fof(f1269,plain,
    ( ~ spl0_57
    | ~ spl0_53 ),
    inference(split_clause,[status(thm)],[f1092,f546,f533]) ).

fof(f1271,plain,
    ( ~ spl0_31
    | ~ spl0_47 ),
    inference(split_clause,[status(thm)],[f1004,f461,f513]) ).

fof(f1276,plain,
    ( op(e2,e1) != e3
    | ~ spl0_47 ),
    inference(backward_demodulation,[status(thm)],[f514,f118]) ).

fof(f1283,plain,
    ( op(e0,e1) != e0
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f401,f106]) ).

fof(f1289,plain,
    ( e0 != op(op(op(e3,e3),op(e3,e3)),e1)
    | ~ spl0_61
    | spl0_88 ),
    inference(backward_demodulation,[status(thm)],[f560,f699]) ).

fof(f1293,plain,
    ( e1 != op(e0,op(e2,e2))
    | ~ spl0_40
    | spl0_77 ),
    inference(forward_demodulation,[status(thm)],[f492,f659]) ).

fof(f1294,plain,
    ( e1 != op(e0,e0)
    | ~ spl0_40
    | spl0_77 ),
    inference(forward_demodulation,[status(thm)],[f492,f1293]) ).

fof(f1295,plain,
    ( e0 != op(op(e1,e1),e3)
    | ~ spl0_23
    | spl0_93 ),
    inference(backward_demodulation,[status(thm)],[f436,f719]) ).

fof(f1300,plain,
    ( e2 != op(op(e3,e3),e1)
    | ~ spl0_61
    | spl0_79 ),
    inference(backward_demodulation,[status(thm)],[f560,f666]) ).

fof(f1301,plain,
    ( e3 != op(e0,op(e2,e2))
    | ~ spl0_40
    | spl0_75 ),
    inference(forward_demodulation,[status(thm)],[f492,f652]) ).

fof(f1302,plain,
    ( op(e3,e1) = e3
    | ~ spl0_61
    | ~ spl0_68 ),
    inference(backward_demodulation,[status(thm)],[f560,f617]) ).

fof(f1311,plain,
    ( e3 != op(e3,e1)
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f436,f88]) ).

fof(f1322,plain,
    ( e1 != op(e3,e3)
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f456,f100]) ).

fof(f1323,plain,
    ( e1 != e1
    | ~ spl0_61
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f560,f1322]) ).

fof(f1324,plain,
    ( $false
    | ~ spl0_61
    | ~ spl0_29 ),
    inference(trivial_equality_resolution,[status(esa)],[f1323]) ).

fof(f1325,plain,
    ( ~ spl0_61
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f1324]) ).

fof(f1341,plain,
    ( e1 != op(op(op(e2,e2),op(e2,e2)),e0)
    | ~ spl0_40
    | spl0_74 ),
    inference(backward_demodulation,[status(thm)],[f492,f649]) ).

fof(f1342,plain,
    ( e1 != op(op(e0,op(e2,e2)),e0)
    | ~ spl0_40
    | spl0_74 ),
    inference(forward_demodulation,[status(thm)],[f492,f1341]) ).

fof(f1343,plain,
    ( e1 != op(op(e0,e0),e0)
    | ~ spl0_40
    | spl0_74 ),
    inference(forward_demodulation,[status(thm)],[f492,f1342]) ).

fof(f1344,plain,
    ( op(e2,e0) = e2
    | ~ spl0_40
    | ~ spl0_97 ),
    inference(backward_demodulation,[status(thm)],[f492,f741]) ).

fof(f1345,plain,
    ( spl0_34
    | ~ spl0_40
    | ~ spl0_97 ),
    inference(split_clause,[status(thm)],[f1344,f471,f491,f740]) ).

fof(f1346,plain,
    ( op(e0,e2) != e3
    | ~ spl0_59 ),
    inference(forward_demodulation,[status(thm)],[f553,f92]) ).

fof(f1353,plain,
    ( e0 = e1
    | ~ spl0_40
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f492,f495]) ).

fof(f1354,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1353,f126]) ).

fof(f1355,plain,
    ( ~ spl0_40
    | ~ spl0_41 ),
    inference(contradiction_clause,[status(thm)],[f1354]) ).

fof(f1356,plain,
    ( ~ spl0_62
    | ~ spl0_58 ),
    inference(split_clause,[status(thm)],[f1096,f562,f549]) ).

fof(f1357,plain,
    ( op(e0,e2) != e2
    | ~ spl0_58 ),
    inference(backward_demodulation,[status(thm)],[f550,f92]) ).

fof(f1358,plain,
    ( ~ spl0_10
    | ~ spl0_58 ),
    inference(split_clause,[status(thm)],[f1357,f393,f549]) ).

fof(f1359,plain,
    ( ~ spl0_50
    | ~ spl0_58 ),
    inference(split_clause,[status(thm)],[f1111,f523,f549]) ).

fof(f1373,plain,
    ( op(e3,e0) != e2
    | ~ spl0_62 ),
    inference(forward_demodulation,[status(thm)],[f563,f122]) ).

fof(f1375,plain,
    ( e0 != op(e2,e2)
    | ~ spl0_32 ),
    inference(backward_demodulation,[status(thm)],[f466,f115]) ).

fof(f1376,plain,
    ( e0 != op(e2,e3)
    | ~ spl0_32 ),
    inference(backward_demodulation,[status(thm)],[f466,f116]) ).

fof(f1377,plain,
    ( ~ spl0_44
    | ~ spl0_32 ),
    inference(split_clause,[status(thm)],[f1376,f504,f465]) ).

fof(f1380,plain,
    ( $false
    | ~ spl0_62
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[status(thm)],[f524,f1373]) ).

fof(f1381,plain,
    ( ~ spl0_62
    | ~ spl0_50 ),
    inference(contradiction_clause,[status(thm)],[f1380]) ).

fof(f1385,plain,
    ( e2 != op(op(op(e3,e3),op(e3,e3)),e1)
    | ~ spl0_61
    | spl0_80 ),
    inference(backward_demodulation,[status(thm)],[f560,f670]) ).

fof(f1391,plain,
    ( op(e2,e3) != e2
    | ~ spl0_62 ),
    inference(forward_demodulation,[status(thm)],[f563,f101]) ).

fof(f1393,plain,
    ( op(e0,e0) = e3
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(forward_demodulation,[status(thm)],[f401,f806]) ).

fof(f1395,plain,
    ( e3 = e1
    | ~ spl0_12
    | ~ spl0_109
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f1393,f365]) ).

fof(f1396,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_109
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1395,f130]) ).

fof(f1397,plain,
    ( ~ spl0_12
    | ~ spl0_109
    | ~ spl0_1 ),
    inference(contradiction_clause,[status(thm)],[f1396]) ).

fof(f1403,plain,
    ( ~ spl0_55
    | ~ spl0_23 ),
    inference(split_clause,[status(thm)],[f1311,f539,f435]) ).

fof(f1415,plain,
    ( op(e2,e2) = e0
    | ~ spl0_34
    | ~ spl0_95 ),
    inference(forward_demodulation,[status(thm)],[f472,f733]) ).

fof(f1415_001,plain,
    ( op(e2,e2) = e0
    | ~ spl0_34
    | ~ spl0_95 ),
    inference(forward_demodulation,[status(thm)],[f472,f733]) ).

fof(f1417,plain,
    ( e0 != op(e2,e1)
    | ~ spl0_4 ),
    inference(backward_demodulation,[status(thm)],[f375,f85]) ).

fof(f1418,plain,
    ( ~ spl0_36
    | ~ spl0_4 ),
    inference(split_clause,[status(thm)],[f1417,f478,f374]) ).

fof(f1423,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f375,f1283]) ).

fof(f1424,plain,
    ( ~ spl0_12
    | ~ spl0_4 ),
    inference(contradiction_clause,[status(thm)],[f1423]) ).

fof(f1445,plain,
    ( e3 = e2
    | ~ spl0_23
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f436,f433]) ).

fof(f1446,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1445,f131]) ).

fof(f1447,plain,
    ( ~ spl0_23
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f1446]) ).

fof(f1448,plain,
    ( op(e0,e1) != e3
    | ~ spl0_15 ),
    inference(backward_demodulation,[status(thm)],[f410,f106]) ).

fof(f1449,plain,
    ( ~ spl0_7
    | ~ spl0_15 ),
    inference(split_clause,[status(thm)],[f1448,f383,f409]) ).

fof(f1450,plain,
    ( op(e0,e0) != e3
    | ~ spl0_15 ),
    inference(backward_demodulation,[status(thm)],[f410,f104]) ).

fof(f1451,plain,
    ( ~ spl0_3
    | ~ spl0_15 ),
    inference(split_clause,[status(thm)],[f1450,f370,f409]) ).

fof(f1457,plain,
    ( e2 != op(e2,e3)
    | ~ spl0_34 ),
    inference(backward_demodulation,[status(thm)],[f472,f116]) ).

fof(f1472,plain,
    ( op(e0,e1) != e3
    | ~ spl0_23 ),
    inference(backward_demodulation,[status(thm)],[f436,f84]) ).

fof(f1473,plain,
    ( ~ spl0_7
    | ~ spl0_23 ),
    inference(split_clause,[status(thm)],[f1472,f383,f435]) ).

fof(f1477,plain,
    ( e0 != op(e2,e3)
    | ~ spl0_34
    | ~ spl0_95 ),
    inference(backward_demodulation,[status(thm)],[f1415,f119]) ).

fof(f1478,plain,
    ( op(e2,e1) != e0
    | ~ spl0_34
    | ~ spl0_95 ),
    inference(backward_demodulation,[status(thm)],[f1415,f117]) ).

fof(f1479,plain,
    ( ~ spl0_36
    | ~ spl0_34
    | ~ spl0_95 ),
    inference(split_clause,[status(thm)],[f1478,f478,f471,f732]) ).

fof(f1480,plain,
    ( op(e0,e2) != e0
    | ~ spl0_34
    | ~ spl0_95 ),
    inference(backward_demodulation,[status(thm)],[f1415,f91]) ).

fof(f1481,plain,
    ( ~ spl0_8
    | ~ spl0_34
    | ~ spl0_95 ),
    inference(split_clause,[status(thm)],[f1480,f387,f471,f732]) ).

fof(f1493,plain,
    ( ~ spl0_11
    | ~ spl0_59 ),
    inference(split_clause,[status(thm)],[f1346,f396,f552]) ).

fof(f1494,plain,
    ( ~ spl0_55
    | ~ spl0_59 ),
    inference(split_clause,[status(thm)],[f1075,f539,f552]) ).

fof(f1505,plain,
    ( op(e2,e1) = e2
    | ~ spl0_41
    | ~ spl0_97 ),
    inference(forward_demodulation,[status(thm)],[f495,f741]) ).

fof(f1510,plain,
    ( e0 != op(op(e1,op(e2,e2)),op(e2,e2))
    | ~ spl0_41
    | spl0_86 ),
    inference(forward_demodulation,[status(thm)],[f495,f691]) ).

fof(f1511,plain,
    ( e0 != op(op(e1,e1),op(e2,e2))
    | ~ spl0_41
    | spl0_86 ),
    inference(forward_demodulation,[status(thm)],[f495,f1510]) ).

fof(f1514,plain,
    ( e1 != op(e3,e2)
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f495,f95]) ).

fof(f1516,plain,
    ( e3 != op(op(e1,op(e2,e2)),op(e2,e2))
    | ~ spl0_41
    | spl0_76 ),
    inference(forward_demodulation,[status(thm)],[f495,f656]) ).

fof(f1517,plain,
    ( e3 != op(op(e1,e1),op(e2,e2))
    | ~ spl0_41
    | spl0_76 ),
    inference(forward_demodulation,[status(thm)],[f495,f1516]) ).

fof(f1525,plain,
    ( e2 = e3
    | ~ spl0_54
    | ~ spl0_55 ),
    inference(forward_demodulation,[status(thm)],[f537,f540]) ).

fof(f1526,plain,
    ( $false
    | ~ spl0_54
    | ~ spl0_55 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1525,f131]) ).

fof(f1527,plain,
    ( ~ spl0_54
    | ~ spl0_55 ),
    inference(contradiction_clause,[status(thm)],[f1526]) ).

fof(f1530,plain,
    ( e0 = e2
    | ~ spl0_60
    | ~ spl0_62 ),
    inference(forward_demodulation,[status(thm)],[f557,f563]) ).

fof(f1531,plain,
    ( $false
    | ~ spl0_60
    | ~ spl0_62 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1530,f127]) ).

fof(f1532,plain,
    ( ~ spl0_60
    | ~ spl0_62 ),
    inference(contradiction_clause,[status(thm)],[f1531]) ).

fof(f1534,plain,
    ( ~ spl0_46
    | ~ spl0_62 ),
    inference(split_clause,[status(thm)],[f1391,f510,f562]) ).

fof(f1544,plain,
    ( ~ spl0_39
    | ~ spl0_47 ),
    inference(split_clause,[status(thm)],[f1276,f487,f513]) ).

fof(f1550,plain,
    ( op(e0,e1) != e0
    | ~ spl0_8 ),
    inference(backward_demodulation,[status(thm)],[f388,f105]) ).

fof(f1551,plain,
    ( ~ spl0_4
    | ~ spl0_8 ),
    inference(split_clause,[status(thm)],[f1550,f374,f387]) ).

fof(f1562,plain,
    ( e3 != op(op(e1,e1),e1)
    | ~ spl0_41
    | spl0_76 ),
    inference(forward_demodulation,[status(thm)],[f495,f1517]) ).

fof(f1563,plain,
    ( e0 != op(op(e1,e1),e1)
    | ~ spl0_41
    | spl0_86 ),
    inference(forward_demodulation,[status(thm)],[f495,f1511]) ).

fof(f1565,plain,
    ( e2 != op(e3,e1)
    | ~ spl0_22 ),
    inference(backward_demodulation,[status(thm)],[f433,f88]) ).

fof(f1569,plain,
    ( op(e1,e1) != e2
    | ~ spl0_26 ),
    inference(backward_demodulation,[status(thm)],[f446,f111]) ).

fof(f1570,plain,
    ( ~ spl0_22
    | ~ spl0_26 ),
    inference(split_clause,[status(thm)],[f1569,f432,f445]) ).

fof(f1585,plain,
    ( op(e2,e3) != e3
    | ~ spl0_47
    | spl0_98 ),
    inference(forward_demodulation,[status(thm)],[f514,f746]) ).

fof(f1586,plain,
    ( e3 != e3
    | ~ spl0_47
    | spl0_98 ),
    inference(forward_demodulation,[status(thm)],[f514,f1585]) ).

fof(f1587,plain,
    ( $false
    | ~ spl0_47
    | spl0_98 ),
    inference(trivial_equality_resolution,[status(esa)],[f1586]) ).

fof(f1588,plain,
    ( ~ spl0_47
    | spl0_98 ),
    inference(contradiction_clause,[status(thm)],[f1587]) ).

fof(f1591,plain,
    ( op(e2,e2) != e2
    | ~ spl0_46 ),
    inference(forward_demodulation,[status(thm)],[f511,f119]) ).

fof(f1596,plain,
    ( e3 != op(e2,e2)
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f488,f117]) ).

fof(f1599,plain,
    ( op(e1,e0) != e0
    | ~ spl0_32 ),
    inference(backward_demodulation,[status(thm)],[f466,f81]) ).

fof(f1600,plain,
    ( ~ spl0_16
    | ~ spl0_32 ),
    inference(split_clause,[status(thm)],[f1599,f413,f465]) ).

fof(f1604,plain,
    ( e0 != op(e2,e1)
    | ~ spl0_22
    | ~ spl0_41
    | spl0_86 ),
    inference(backward_demodulation,[status(thm)],[f433,f1563]) ).

fof(f1608,plain,
    ( e0 != op(op(op(e1,e1),op(e1,e1)),e2)
    | ~ spl0_22
    | spl0_92 ),
    inference(backward_demodulation,[status(thm)],[f433,f715]) ).

fof(f1609,plain,
    ( e0 != op(op(e2,op(e1,e1)),e2)
    | ~ spl0_22
    | spl0_92 ),
    inference(forward_demodulation,[status(thm)],[f433,f1608]) ).

fof(f1610,plain,
    ( e0 != op(op(e2,e2),e2)
    | ~ spl0_22
    | spl0_92 ),
    inference(forward_demodulation,[status(thm)],[f433,f1609]) ).

fof(f1611,plain,
    ( e0 != op(e1,e2)
    | ~ spl0_41
    | ~ spl0_22
    | spl0_92 ),
    inference(forward_demodulation,[status(thm)],[f495,f1610]) ).

fof(f1628,plain,
    ( e3 != op(e3,e1)
    | ~ spl0_39 ),
    inference(backward_demodulation,[status(thm)],[f488,f89]) ).

fof(f1629,plain,
    ( ~ spl0_55
    | ~ spl0_39 ),
    inference(split_clause,[status(thm)],[f1628,f539,f487]) ).

fof(f1648,plain,
    ( e2 != op(e2,op(e1,e1))
    | ~ spl0_22
    | spl0_73 ),
    inference(forward_demodulation,[status(thm)],[f433,f645]) ).

fof(f1649,plain,
    ( e2 != op(e2,e2)
    | ~ spl0_22
    | spl0_73 ),
    inference(forward_demodulation,[status(thm)],[f433,f1648]) ).

fof(f1651,plain,
    ( e3 != op(e2,op(e1,e1))
    | ~ spl0_22
    | spl0_71 ),
    inference(forward_demodulation,[status(thm)],[f433,f638]) ).

fof(f1652,plain,
    ( e3 != op(e2,e2)
    | ~ spl0_22
    | spl0_71 ),
    inference(forward_demodulation,[status(thm)],[f433,f1651]) ).

fof(f1654,plain,
    ( e3 != op(e1,op(e2,e2))
    | ~ spl0_41
    | spl0_75 ),
    inference(forward_demodulation,[status(thm)],[f495,f652]) ).

fof(f1655,plain,
    ( e3 != op(e1,e1)
    | ~ spl0_41
    | spl0_75 ),
    inference(forward_demodulation,[status(thm)],[f495,f1654]) ).

fof(f1657,plain,
    ( op(e2,e3) = e1
    | ~ spl0_39
    | ~ spl0_96 ),
    inference(forward_demodulation,[status(thm)],[f488,f737]) ).

fof(f1657_002,plain,
    ( op(e2,e3) = e1
    | ~ spl0_39
    | ~ spl0_96 ),
    inference(forward_demodulation,[status(thm)],[f488,f737]) ).

fof(f1658,plain,
    ( e2 = e1
    | ~ spl0_46
    | ~ spl0_39
    | ~ spl0_96 ),
    inference(forward_demodulation,[status(thm)],[f511,f1657]) ).

fof(f1659,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_39
    | ~ spl0_96 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1658,f129]) ).

fof(f1660,plain,
    ( ~ spl0_46
    | ~ spl0_39
    | ~ spl0_96 ),
    inference(contradiction_clause,[status(thm)],[f1659]) ).

fof(f1664,plain,
    ( op(e0,e3) != e2
    | ~ spl0_46 ),
    inference(forward_demodulation,[status(thm)],[f511,f97]) ).

fof(f1673,plain,
    ( ~ spl0_0
    | ~ spl0_16 ),
    inference(split_clause,[status(thm)],[f1104,f361,f413]) ).

fof(f1674,plain,
    ( e0 != op(e1,e1)
    | ~ spl0_16 ),
    inference(backward_demodulation,[status(thm)],[f414,f108]) ).

fof(f1676,plain,
    ( op(e0,e0) != e1
    | ~ spl0_33 ),
    inference(backward_demodulation,[status(thm)],[f469,f79]) ).

fof(f1683,plain,
    ( e3 = e0
    | ~ spl0_3
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f371,f362]) ).

fof(f1684,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1683,f128]) ).

fof(f1685,plain,
    ( ~ spl0_3
    | ~ spl0_0 ),
    inference(contradiction_clause,[status(thm)],[f1684]) ).

fof(f1693,plain,
    ( op(e0,e0) != e1
    | ~ spl0_9 ),
    inference(backward_demodulation,[status(thm)],[f391,f103]) ).

fof(f1698,plain,
    ( ~ spl0_62
    | ~ spl0_14 ),
    inference(split_clause,[status(thm)],[f1205,f562,f406]) ).

fof(f1702,plain,
    ( e1 != op(op(op(e0,e0),op(e0,e0)),e3)
    | ~ spl0_3
    | spl0_90 ),
    inference(backward_demodulation,[status(thm)],[f371,f707]) ).

fof(f1703,plain,
    ( e1 != op(op(e3,op(e0,e0)),e3)
    | ~ spl0_3
    | spl0_90 ),
    inference(forward_demodulation,[status(thm)],[f371,f1702]) ).

fof(f1704,plain,
    ( e1 != op(op(e3,e3),e3)
    | ~ spl0_3
    | spl0_90 ),
    inference(forward_demodulation,[status(thm)],[f371,f1703]) ).

fof(f1707,plain,
    ( e2 != op(op(op(e0,e0),op(e0,e0)),e3)
    | ~ spl0_3
    | spl0_82 ),
    inference(backward_demodulation,[status(thm)],[f371,f677]) ).

fof(f1708,plain,
    ( e2 != op(op(e3,op(e0,e0)),e3)
    | ~ spl0_3
    | spl0_82 ),
    inference(forward_demodulation,[status(thm)],[f371,f1707]) ).

fof(f1709,plain,
    ( e2 != op(op(e3,e3),e3)
    | ~ spl0_3
    | spl0_82 ),
    inference(forward_demodulation,[status(thm)],[f371,f1708]) ).

fof(f1712,plain,
    ( e1 != op(op(e2,e2),e3)
    | ~ spl0_43
    | spl0_77 ),
    inference(backward_demodulation,[status(thm)],[f501,f659]) ).

fof(f1718,plain,
    ( ~ spl0_42
    | ~ spl0_22
    | spl0_73 ),
    inference(split_clause,[status(thm)],[f1649,f497,f432,f643]) ).

fof(f1722,plain,
    ( ~ spl0_43
    | ~ spl0_22
    | spl0_71 ),
    inference(split_clause,[status(thm)],[f1652,f500,f432,f636]) ).

fof(f1725,plain,
    ( op(e0,e3) = e0
    | ~ spl0_3
    | ~ spl0_106 ),
    inference(forward_demodulation,[status(thm)],[f371,f794]) ).

fof(f1726,plain,
    ( e2 = e0
    | ~ spl0_14
    | ~ spl0_3
    | ~ spl0_106 ),
    inference(forward_demodulation,[status(thm)],[f407,f1725]) ).

fof(f1727,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_3
    | ~ spl0_106 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1726,f127]) ).

fof(f1728,plain,
    ( ~ spl0_14
    | ~ spl0_3
    | ~ spl0_106 ),
    inference(contradiction_clause,[status(thm)],[f1727]) ).

fof(f1729,plain,
    ( ~ spl0_46
    | ~ spl0_34 ),
    inference(split_clause,[status(thm)],[f1457,f510,f471]) ).

fof(f1739,plain,
    ( ~ spl0_54
    | ~ spl0_22 ),
    inference(split_clause,[status(thm)],[f1565,f536,f432]) ).

fof(f1745,plain,
    ( ~ spl0_27
    | ~ spl0_31 ),
    inference(split_clause,[status(thm)],[f977,f448,f461]) ).

fof(f1758,plain,
    ( ~ spl0_54
    | ~ spl0_58 ),
    inference(split_clause,[status(thm)],[f1110,f536,f549]) ).

fof(f1759,plain,
    ( op(e2,e2) != e0
    | ~ spl0_34
    | spl0_95 ),
    inference(forward_demodulation,[status(thm)],[f472,f734]) ).

fof(f1764,plain,
    ( ~ spl0_42
    | ~ spl0_46 ),
    inference(split_clause,[status(thm)],[f1591,f497,f510]) ).

fof(f1765,plain,
    ( ~ spl0_14
    | ~ spl0_46 ),
    inference(split_clause,[status(thm)],[f1664,f406,f510]) ).

fof(f1766,plain,
    ( ~ spl0_3
    | ~ spl0_12
    | spl0_109 ),
    inference(split_clause,[status(thm)],[f1140,f370,f400,f805]) ).

fof(f1768,plain,
    ( ~ spl0_44
    | ~ spl0_12 ),
    inference(split_clause,[status(thm)],[f1143,f504,f400]) ).

fof(f1772,plain,
    ( ~ spl0_1
    | ~ spl0_9 ),
    inference(split_clause,[status(thm)],[f1693,f364,f390]) ).

fof(f1776,plain,
    ( e0 != op(op(op(e3,e3),e1),e1)
    | ~ spl0_61
    | spl0_88 ),
    inference(backward_demodulation,[status(thm)],[f560,f1289]) ).

fof(f1780,plain,
    ( e2 != op(op(e1,op(e3,e3)),e1)
    | ~ spl0_61
    | spl0_80 ),
    inference(forward_demodulation,[status(thm)],[f560,f1385]) ).

fof(f1781,plain,
    ( e2 != op(op(e1,e1),e1)
    | ~ spl0_61
    | spl0_80 ),
    inference(forward_demodulation,[status(thm)],[f560,f1780]) ).

fof(f1782,plain,
    ( e2 != op(e0,e1)
    | ~ spl0_20
    | ~ spl0_61
    | spl0_80 ),
    inference(forward_demodulation,[status(thm)],[f427,f1781]) ).

fof(f1802,plain,
    ( op(e2,e3) = e0
    | ~ spl0_35
    | ~ spl0_95 ),
    inference(forward_demodulation,[status(thm)],[f475,f733]) ).

fof(f1806,plain,
    ( ~ spl0_20
    | ~ spl0_16 ),
    inference(split_clause,[status(thm)],[f1674,f426,f413]) ).

fof(f1816,plain,
    ( e3 != op(e3,e0)
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f475,f83]) ).

fof(f1824,plain,
    ( e0 = e2
    | ~ spl0_35
    | ~ spl0_95
    | ~ spl0_46 ),
    inference(forward_demodulation,[status(thm)],[f1802,f511]) ).

fof(f1825,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_95
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1824,f127]) ).

fof(f1826,plain,
    ( ~ spl0_35
    | ~ spl0_95
    | ~ spl0_46 ),
    inference(contradiction_clause,[status(thm)],[f1825]) ).

fof(f1832,plain,
    ( op(e0,e1) != e2
    | ~ spl0_14 ),
    inference(backward_demodulation,[status(thm)],[f407,f106]) ).

fof(f1833,plain,
    ( ~ spl0_6
    | ~ spl0_14 ),
    inference(split_clause,[status(thm)],[f1832,f380,f406]) ).

fof(f1838,plain,
    ( e3 != op(e0,op(e1,e1))
    | ~ spl0_20
    | spl0_71 ),
    inference(forward_demodulation,[status(thm)],[f427,f638]) ).

fof(f1839,plain,
    ( e3 != op(e0,e0)
    | ~ spl0_20
    | spl0_71 ),
    inference(forward_demodulation,[status(thm)],[f427,f1838]) ).

fof(f1841,plain,
    ( e2 != op(e0,op(e1,e1))
    | ~ spl0_20
    | spl0_73 ),
    inference(forward_demodulation,[status(thm)],[f427,f645]) ).

fof(f1842,plain,
    ( e2 != op(e0,e0)
    | ~ spl0_20
    | spl0_73 ),
    inference(forward_demodulation,[status(thm)],[f427,f1841]) ).

fof(f1844,plain,
    ( e0 != op(e1,e2)
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f427,f111]) ).

fof(f1847,plain,
    ( e0 != op(e3,e1)
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f427,f88]) ).

fof(f1852,plain,
    ( ~ spl0_8
    | ~ spl0_56 ),
    inference(split_clause,[status(thm)],[f1035,f387,f543]) ).

fof(f1871,plain,
    ( op(e1,e2) != e2
    | ~ spl0_42 ),
    inference(backward_demodulation,[status(thm)],[f498,f93]) ).

fof(f1872,plain,
    ( op(e3,e2) = e0
    | ~ spl0_50
    | ~ spl0_65 ),
    inference(backward_demodulation,[status(thm)],[f524,f605]) ).

fof(f1873,plain,
    ( op(e1,e0) != e1
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f456,f110]) ).

fof(f1874,plain,
    ( ~ spl0_17
    | ~ spl0_29 ),
    inference(split_clause,[status(thm)],[f1873,f416,f455]) ).

fof(f1880,plain,
    ( op(e1,e1) != e1
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f456,f112]) ).

fof(f1890,plain,
    ( e3 != op(e0,e1)
    | ~ spl0_20
    | ~ spl0_41
    | spl0_76 ),
    inference(forward_demodulation,[status(thm)],[f427,f1562]) ).

fof(f1900,plain,
    ( e3 = e1
    | ~ spl0_55
    | ~ spl0_53 ),
    inference(forward_demodulation,[status(thm)],[f540,f534]) ).

fof(f1901,plain,
    ( $false
    | ~ spl0_55
    | ~ spl0_53 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1900,f130]) ).

fof(f1902,plain,
    ( ~ spl0_55
    | ~ spl0_53 ),
    inference(contradiction_clause,[status(thm)],[f1901]) ).

fof(f1911,plain,
    ( e3 != op(e3,e3)
    | ~ spl0_47 ),
    inference(backward_demodulation,[status(thm)],[f514,f101]) ).

fof(f1912,plain,
    ( ~ spl0_63
    | ~ spl0_47 ),
    inference(split_clause,[status(thm)],[f1911,f565,f513]) ).

fof(f1921,plain,
    ( e3 != op(e3,e3)
    | ~ spl0_55 ),
    inference(forward_demodulation,[status(thm)],[f540,f124]) ).

fof(f1935,plain,
    ( op(e1,e1) != e2
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f459,f112]) ).

fof(f1936,plain,
    ( ~ spl0_22
    | ~ spl0_30 ),
    inference(split_clause,[status(thm)],[f1935,f432,f458]) ).

fof(f1940,plain,
    ( e3 != op(op(op(e1,e1),op(e1,e1)),e2)
    | ~ spl0_22
    | spl0_72 ),
    inference(backward_demodulation,[status(thm)],[f433,f642]) ).

fof(f1946,plain,
    ( op(e0,e0) = e1
    | ~ spl0_4
    | ~ spl0_107 ),
    inference(backward_demodulation,[status(thm)],[f375,f798]) ).

fof(f1947,plain,
    ( spl0_1
    | ~ spl0_4
    | ~ spl0_107 ),
    inference(split_clause,[status(thm)],[f1946,f364,f374,f797]) ).

fof(f1949,plain,
    ( $false
    | ~ spl0_55
    | ~ spl0_63 ),
    inference(forward_subsumption_resolution,[status(thm)],[f566,f1921]) ).

fof(f1950,plain,
    ( ~ spl0_55
    | ~ spl0_63 ),
    inference(contradiction_clause,[status(thm)],[f1949]) ).

fof(f1954,plain,
    ( ~ spl0_28
    | ~ spl0_16 ),
    inference(split_clause,[status(thm)],[f1015,f452,f413]) ).

fof(f1964,plain,
    ( ~ spl0_9
    | ~ spl0_13 ),
    inference(split_clause,[status(thm)],[f1033,f390,f403]) ).

fof(f1970,plain,
    ( ~ spl0_21
    | ~ spl0_37 ),
    inference(split_clause,[status(thm)],[f1012,f429,f481]) ).

fof(f1991,plain,
    ( e1 != op(e2,e3)
    | ~ spl0_37 ),
    inference(backward_demodulation,[status(thm)],[f482,f118]) ).

fof(f1999,plain,
    ( e0 != op(e3,e3)
    | ~ spl0_28 ),
    inference(backward_demodulation,[status(thm)],[f453,f100]) ).

fof(f2000,plain,
    ( ~ spl0_60
    | ~ spl0_28 ),
    inference(split_clause,[status(thm)],[f1999,f556,f452]) ).

fof(f2007,plain,
    ( op(e0,e2) != e1
    | ~ spl0_57 ),
    inference(backward_demodulation,[status(thm)],[f547,f92]) ).

fof(f2008,plain,
    ( ~ spl0_9
    | ~ spl0_57 ),
    inference(split_clause,[status(thm)],[f2007,f390,f546]) ).

fof(f2025,plain,
    ( op(e1,e3) = e1
    | ~ spl0_23
    | ~ spl0_102 ),
    inference(backward_demodulation,[status(thm)],[f436,f769]) ).

fof(f2026,plain,
    ( spl0_29
    | ~ spl0_23
    | ~ spl0_102 ),
    inference(split_clause,[status(thm)],[f2025,f455,f435,f768]) ).

fof(f2033,plain,
    ( e0 = e2
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f375,f381]) ).

fof(f2034,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2033,f127]) ).

fof(f2035,plain,
    ( ~ spl0_4
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f2034]) ).

fof(f2039,plain,
    ( op(e3,e0) != e2
    | ~ spl0_54 ),
    inference(backward_demodulation,[status(thm)],[f537,f120]) ).

fof(f2040,plain,
    ( ~ spl0_50
    | ~ spl0_54 ),
    inference(split_clause,[status(thm)],[f2039,f523,f536]) ).

fof(f2055,plain,
    ( e1 = e3
    | ~ spl0_57
    | ~ spl0_59 ),
    inference(forward_demodulation,[status(thm)],[f547,f553]) ).

fof(f2056,plain,
    ( $false
    | ~ spl0_57
    | ~ spl0_59 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2055,f130]) ).

fof(f2057,plain,
    ( ~ spl0_57
    | ~ spl0_59 ),
    inference(contradiction_clause,[status(thm)],[f2056]) ).

fof(f2060,plain,
    ( e2 != op(e3,e3)
    | ~ spl0_30 ),
    inference(backward_demodulation,[status(thm)],[f459,f100]) ).

fof(f2061,plain,
    ( ~ spl0_62
    | ~ spl0_30 ),
    inference(split_clause,[status(thm)],[f2060,f562,f458]) ).

fof(f2062,plain,
    ( op(e0,e3) != e2
    | ~ spl0_30 ),
    inference(backward_demodulation,[status(thm)],[f459,f96]) ).

fof(f2082,plain,
    ( e2 = e1
    | ~ spl0_30
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f459,f456]) ).

fof(f2083,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2082,f129]) ).

fof(f2084,plain,
    ( ~ spl0_30
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f2083]) ).

fof(f2088,plain,
    ( e1 != op(e3,e2)
    | ~ spl0_49 ),
    inference(forward_demodulation,[status(thm)],[f521,f121]) ).

fof(f2094,plain,
    ( e2 != op(e2,e1)
    | ~ spl0_34 ),
    inference(backward_demodulation,[status(thm)],[f472,f114]) ).

fof(f2095,plain,
    ( ~ spl0_38
    | ~ spl0_34 ),
    inference(split_clause,[status(thm)],[f2094,f484,f471]) ).

fof(f2107,plain,
    ( op(e0,e1) != e0
    | ~ spl0_52 ),
    inference(backward_demodulation,[status(thm)],[f531,f86]) ).

fof(f2108,plain,
    ( ~ spl0_4
    | ~ spl0_52 ),
    inference(split_clause,[status(thm)],[f2107,f374,f530]) ).

fof(f2112,plain,
    ( e0 != op(e3,e2)
    | ~ spl0_52 ),
    inference(forward_demodulation,[status(thm)],[f531,f123]) ).

fof(f2113,plain,
    ( ~ spl0_56
    | ~ spl0_52 ),
    inference(split_clause,[status(thm)],[f2112,f543,f530]) ).

fof(f2114,plain,
    ( e1 != op(e3,e1)
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f430,f88]) ).

fof(f2123,plain,
    ( ~ spl0_57
    | ~ spl0_41 ),
    inference(split_clause,[status(thm)],[f1514,f546,f494]) ).

fof(f2124,plain,
    ( op(e1,e2) != e1
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f495,f93]) ).

fof(f2125,plain,
    ( ~ spl0_25
    | ~ spl0_41 ),
    inference(split_clause,[status(thm)],[f2124,f442,f494]) ).

fof(f2140,plain,
    ( op(e1,e1) != e2
    | ~ spl0_38 ),
    inference(backward_demodulation,[status(thm)],[f485,f87]) ).

fof(f2141,plain,
    ( ~ spl0_22
    | ~ spl0_38 ),
    inference(split_clause,[status(thm)],[f2140,f432,f484]) ).

fof(f2145,plain,
    ( e1 != op(e2,e3)
    | ~ spl0_62
    | ~ spl0_3
    | spl0_90 ),
    inference(forward_demodulation,[status(thm)],[f563,f1704]) ).

fof(f2157,plain,
    ( e0 != op(e3,e3)
    | ~ spl0_56 ),
    inference(backward_demodulation,[status(thm)],[f544,f125]) ).

fof(f2159,plain,
    ( op(e1,e2) != e0
    | ~ spl0_56 ),
    inference(backward_demodulation,[status(thm)],[f544,f94]) ).

fof(f2175,plain,
    ( e2 != op(op(e2,op(e3,e3)),op(e3,e3))
    | ~ spl0_62
    | spl0_80 ),
    inference(forward_demodulation,[status(thm)],[f563,f670]) ).

fof(f2176,plain,
    ( e2 != op(op(e2,e2),op(e3,e3))
    | ~ spl0_62
    | spl0_80 ),
    inference(forward_demodulation,[status(thm)],[f563,f2175]) ).

fof(f2177,plain,
    ( e2 != op(op(e2,e2),e2)
    | ~ spl0_62
    | spl0_80 ),
    inference(forward_demodulation,[status(thm)],[f563,f2176]) ).

fof(f2178,plain,
    ( e1 != op(e1,e2)
    | ~ spl0_9 ),
    inference(backward_demodulation,[status(thm)],[f391,f90]) ).

fof(f2179,plain,
    ( ~ spl0_25
    | ~ spl0_9 ),
    inference(split_clause,[status(thm)],[f2178,f442,f390]) ).

fof(f2200,plain,
    ( e3 != op(e0,e1)
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(backward_demodulation,[status(thm)],[f1393,f102]) ).

fof(f2211,plain,
    ( e3 != op(e3,e0)
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(backward_demodulation,[status(thm)],[f1393,f80]) ).

fof(f2235,plain,
    ( ~ spl0_3
    | ~ spl0_20
    | spl0_71 ),
    inference(split_clause,[status(thm)],[f1839,f370,f426,f636]) ).

fof(f2239,plain,
    ( e2 = e3
    | ~ spl0_42
    | ~ spl0_43 ),
    inference(forward_demodulation,[status(thm)],[f498,f501]) ).

fof(f2240,plain,
    ( $false
    | ~ spl0_42
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2239,f131]) ).

fof(f2241,plain,
    ( ~ spl0_42
    | ~ spl0_43 ),
    inference(contradiction_clause,[status(thm)],[f2240]) ).

fof(f2242,plain,
    ( ~ spl0_30
    | ~ spl0_18 ),
    inference(split_clause,[status(thm)],[f989,f458,f419]) ).

fof(f2243,plain,
    ( ~ spl0_26
    | ~ spl0_18 ),
    inference(split_clause,[status(thm)],[f990,f445,f419]) ).

fof(f2245,plain,
    ( e1 != op(e3,e2)
    | ~ spl0_25 ),
    inference(backward_demodulation,[status(thm)],[f443,f94]) ).

fof(f2246,plain,
    ( ~ spl0_57
    | ~ spl0_25 ),
    inference(split_clause,[status(thm)],[f2245,f546,f442]) ).

fof(f2257,plain,
    ( e0 != op(e2,e1)
    | ~ spl0_20 ),
    inference(backward_demodulation,[status(thm)],[f427,f87]) ).

fof(f2258,plain,
    ( ~ spl0_36
    | ~ spl0_20 ),
    inference(split_clause,[status(thm)],[f2257,f478,f426]) ).

fof(f2263,plain,
    ( ~ spl0_57
    | ~ spl0_49 ),
    inference(split_clause,[status(thm)],[f2088,f546,f520]) ).

fof(f2265,plain,
    ( op(e2,e2) = e1
    | ~ spl0_38
    | ~ spl0_96 ),
    inference(backward_demodulation,[status(thm)],[f485,f737]) ).

fof(f2266,plain,
    ( spl0_41
    | ~ spl0_38
    | ~ spl0_96 ),
    inference(split_clause,[status(thm)],[f2265,f494,f484,f736]) ).

fof(f2279,plain,
    ( e1 = e0
    | ~ spl0_45
    | ~ spl0_35
    | ~ spl0_95 ),
    inference(forward_demodulation,[status(thm)],[f508,f1802]) ).

fof(f2280,plain,
    ( $false
    | ~ spl0_45
    | ~ spl0_35
    | ~ spl0_95 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2279,f126]) ).

fof(f2281,plain,
    ( ~ spl0_45
    | ~ spl0_35
    | ~ spl0_95 ),
    inference(contradiction_clause,[status(thm)],[f2280]) ).

fof(f2282,plain,
    ( ~ spl0_14
    | ~ spl0_30 ),
    inference(split_clause,[status(thm)],[f2062,f406,f458]) ).

fof(f2291,plain,
    ( e2 = e3
    | ~ spl0_38
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f485,f488]) ).

fof(f2292,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2291,f131]) ).

fof(f2293,plain,
    ( ~ spl0_38
    | ~ spl0_39 ),
    inference(contradiction_clause,[status(thm)],[f2292]) ).

fof(f2294,plain,
    ( ~ spl0_26
    | ~ spl0_42 ),
    inference(split_clause,[status(thm)],[f1871,f445,f497]) ).

fof(f2295,plain,
    ( op(e2,e0) != e2
    | ~ spl0_42 ),
    inference(backward_demodulation,[status(thm)],[f498,f115]) ).

fof(f2296,plain,
    ( ~ spl0_34
    | ~ spl0_42 ),
    inference(split_clause,[status(thm)],[f2295,f471,f497]) ).

fof(f2320,plain,
    ( e2 != op(e2,e2)
    | ~ spl0_42
    | ~ spl0_62
    | spl0_80 ),
    inference(backward_demodulation,[status(thm)],[f498,f2177]) ).

fof(f2321,plain,
    ( ~ spl0_42
    | ~ spl0_62
    | spl0_80 ),
    inference(split_clause,[status(thm)],[f2320,f497,f562,f668]) ).

fof(f2333,plain,
    ( op(e2,e2) != e0
    | ~ spl0_56 ),
    inference(backward_demodulation,[status(thm)],[f544,f95]) ).

fof(f2338,plain,
    ( ~ spl0_24
    | ~ spl0_56 ),
    inference(split_clause,[status(thm)],[f2159,f439,f543]) ).

fof(f2339,plain,
    ( ~ spl0_60
    | ~ spl0_56 ),
    inference(split_clause,[status(thm)],[f2157,f556,f543]) ).

fof(f2357,plain,
    ( op(e1,e0) = e1
    | ~ spl0_20
    | ~ spl0_102 ),
    inference(backward_demodulation,[status(thm)],[f427,f769]) ).

fof(f2358,plain,
    ( spl0_17
    | ~ spl0_20
    | ~ spl0_102 ),
    inference(split_clause,[status(thm)],[f2357,f416,f426,f768]) ).

fof(f2360,plain,
    ( ~ spl0_24
    | ~ spl0_20 ),
    inference(split_clause,[status(thm)],[f1844,f439,f426]) ).

fof(f2380,plain,
    ( e1 != op(e0,e2)
    | ~ spl0_5 ),
    inference(backward_demodulation,[status(thm)],[f378,f105]) ).

fof(f2394,plain,
    ( op(e2,e2) != e2
    | ~ spl0_58 ),
    inference(backward_demodulation,[status(thm)],[f550,f95]) ).

fof(f2395,plain,
    ( ~ spl0_42
    | ~ spl0_58 ),
    inference(split_clause,[status(thm)],[f2394,f497,f549]) ).

fof(f2397,plain,
    ( e0 = e2
    | ~ spl0_56
    | ~ spl0_58 ),
    inference(forward_demodulation,[status(thm)],[f544,f550]) ).

fof(f2398,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_58 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2397,f127]) ).

fof(f2399,plain,
    ( ~ spl0_56
    | ~ spl0_58 ),
    inference(contradiction_clause,[status(thm)],[f2398]) ).

fof(f2401,plain,
    ( e1 != op(e0,e3)
    | ~ spl0_5 ),
    inference(backward_demodulation,[status(thm)],[f378,f106]) ).

fof(f2402,plain,
    ( ~ spl0_13
    | ~ spl0_5 ),
    inference(split_clause,[status(thm)],[f2401,f403,f377]) ).

fof(f2409,plain,
    ( spl0_19
    | ~ spl0_28
    | ~ spl0_104 ),
    inference(split_clause,[status(thm)],[f1081,f422,f452,f776]) ).

fof(f2410,plain,
    ( op(e1,e1) != e0
    | ~ spl0_28 ),
    inference(backward_demodulation,[status(thm)],[f453,f112]) ).

fof(f2415,plain,
    ( ~ spl0_33
    | ~ spl0_17 ),
    inference(split_clause,[status(thm)],[f1131,f468,f416]) ).

fof(f2422,plain,
    ( op(e1,e1) = e0
    | ~ spl0_17
    | ~ spl0_101 ),
    inference(forward_demodulation,[status(thm)],[f417,f765]) ).

fof(f2423,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_17
    | ~ spl0_101 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2422,f2410]) ).

fof(f2424,plain,
    ( ~ spl0_28
    | ~ spl0_17
    | ~ spl0_101 ),
    inference(contradiction_clause,[status(thm)],[f2423]) ).

fof(f2453,plain,
    ( ~ spl0_53
    | ~ spl0_21 ),
    inference(split_clause,[status(thm)],[f2114,f533,f429]) ).

fof(f2469,plain,
    ( ~ spl0_21
    | ~ spl0_29 ),
    inference(split_clause,[status(thm)],[f1880,f429,f455]) ).

fof(f2513,plain,
    ( e2 = e3
    | ~ spl0_46
    | ~ spl0_47 ),
    inference(forward_demodulation,[status(thm)],[f511,f514]) ).

fof(f2514,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2513,f131]) ).

fof(f2515,plain,
    ( ~ spl0_46
    | ~ spl0_47 ),
    inference(contradiction_clause,[status(thm)],[f2514]) ).

fof(f2527,plain,
    ( e1 != op(e1,e2)
    | ~ spl0_21 ),
    inference(backward_demodulation,[status(thm)],[f430,f111]) ).

fof(f2546,plain,
    ( op(e1,e2) = e0
    | ~ spl0_18
    | ~ spl0_101 ),
    inference(backward_demodulation,[status(thm)],[f420,f765]) ).

fof(f2547,plain,
    ( spl0_24
    | ~ spl0_18
    | ~ spl0_101 ),
    inference(split_clause,[status(thm)],[f2546,f439,f419,f764]) ).

fof(f2551,plain,
    ( ~ spl0_2
    | ~ spl0_18 ),
    inference(split_clause,[status(thm)],[f998,f367,f419]) ).

fof(f2583,plain,
    ( e3 != op(op(op(e0,e0),op(e0,e0)),e2)
    | ~ spl0_2
    | spl0_84 ),
    inference(backward_demodulation,[status(thm)],[f368,f684]) ).

fof(f2646,plain,
    ( e3 != op(e1,e2)
    | ~ spl0_19 ),
    inference(backward_demodulation,[status(thm)],[f423,f109]) ).

fof(f2647,plain,
    ( e3 != op(e3,e0)
    | ~ spl0_19 ),
    inference(backward_demodulation,[status(thm)],[f423,f82]) ).

fof(f2648,plain,
    ( ~ spl0_51
    | ~ spl0_19 ),
    inference(split_clause,[status(thm)],[f2647,f526,f422]) ).

fof(f2655,plain,
    ( op(e0,e0) != e3
    | ~ spl0_51 ),
    inference(backward_demodulation,[status(thm)],[f527,f80]) ).

fof(f2659,plain,
    ( e3 != op(e3,e1)
    | ~ spl0_51 ),
    inference(backward_demodulation,[status(thm)],[f527,f120]) ).

fof(f2660,plain,
    ( ~ spl0_55
    | ~ spl0_51 ),
    inference(split_clause,[status(thm)],[f2659,f539,f526]) ).

fof(f2661,plain,
    ( e3 != op(e3,e3)
    | ~ spl0_51 ),
    inference(backward_demodulation,[status(thm)],[f527,f122]) ).

fof(f2663,plain,
    ( e1 = e3
    | ~ spl0_49
    | ~ spl0_51 ),
    inference(forward_demodulation,[status(thm)],[f521,f527]) ).

fof(f2664,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_51 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2663,f130]) ).

fof(f2665,plain,
    ( ~ spl0_49
    | ~ spl0_51 ),
    inference(contradiction_clause,[status(thm)],[f2664]) ).

fof(f2668,plain,
    ( e2 != op(e1,e3)
    | ~ spl0_26 ),
    inference(backward_demodulation,[status(thm)],[f446,f113]) ).

fof(f2669,plain,
    ( ~ spl0_30
    | ~ spl0_26 ),
    inference(split_clause,[status(thm)],[f2668,f458,f445]) ).

fof(f2683,plain,
    ( op(e0,e1) != e2
    | ~ spl0_38 ),
    inference(backward_demodulation,[status(thm)],[f485,f85]) ).

fof(f2684,plain,
    ( ~ spl0_6
    | ~ spl0_38 ),
    inference(split_clause,[status(thm)],[f2683,f380,f484]) ).

fof(f2688,plain,
    ( op(e2,e2) = e1
    | ~ spl0_38
    | ~ spl0_96 ),
    inference(forward_demodulation,[status(thm)],[f485,f737]) ).

fof(f2689,plain,
    ( op(e2,e0) = e1
    | ~ spl0_36
    | ~ spl0_96 ),
    inference(backward_demodulation,[status(thm)],[f479,f737]) ).

fof(f2690,plain,
    ( spl0_33
    | ~ spl0_36
    | ~ spl0_96 ),
    inference(split_clause,[status(thm)],[f2689,f468,f478,f736]) ).

fof(f2691,plain,
    ( e0 != op(e2,e2)
    | ~ spl0_36 ),
    inference(backward_demodulation,[status(thm)],[f479,f117]) ).

fof(f2693,plain,
    ( e2 = e0
    | ~ spl0_38
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f485,f479]) ).

fof(f2694,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2693,f127]) ).

fof(f2695,plain,
    ( ~ spl0_38
    | ~ spl0_36 ),
    inference(contradiction_clause,[status(thm)],[f2694]) ).

fof(f2697,plain,
    ( op(e0,e0) != e2
    | ~ spl0_50 ),
    inference(backward_demodulation,[status(thm)],[f524,f80]) ).

fof(f2698,plain,
    ( ~ spl0_2
    | ~ spl0_50 ),
    inference(split_clause,[status(thm)],[f2697,f367,f523]) ).

fof(f2734,plain,
    ( e3 != op(e0,e3)
    | ~ spl0_11 ),
    inference(backward_demodulation,[status(thm)],[f397,f107]) ).

fof(f2735,plain,
    ( ~ spl0_15
    | ~ spl0_11 ),
    inference(split_clause,[status(thm)],[f2734,f409,f396]) ).

fof(f2738,plain,
    ( e3 != op(e2,e1)
    | ~ spl0_35 ),
    inference(backward_demodulation,[status(thm)],[f475,f114]) ).

fof(f2743,plain,
    ( ~ spl0_51
    | ~ spl0_35 ),
    inference(split_clause,[status(thm)],[f1816,f526,f474]) ).

fof(f2748,plain,
    ( e3 != op(op(op(e0,e0),e2),e2)
    | ~ spl0_2
    | spl0_84 ),
    inference(backward_demodulation,[status(thm)],[f368,f2583]) ).

fof(f2785,plain,
    ( op(e1,e0) = e2
    | ~ spl0_24
    | ~ spl0_103 ),
    inference(forward_demodulation,[status(thm)],[f440,f773]) ).

fof(f2786,plain,
    ( e1 = e2
    | ~ spl0_17
    | ~ spl0_24
    | ~ spl0_103 ),
    inference(forward_demodulation,[status(thm)],[f417,f2785]) ).

fof(f2787,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_24
    | ~ spl0_103 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2786,f129]) ).

fof(f2788,plain,
    ( ~ spl0_17
    | ~ spl0_24
    | ~ spl0_103 ),
    inference(contradiction_clause,[status(thm)],[f2787]) ).

fof(f2789,plain,
    ( op(e1,e3) = e3
    | ~ spl0_31
    | ~ spl0_104 ),
    inference(backward_demodulation,[status(thm)],[f462,f777]) ).

fof(f2829,plain,
    ( e1 != op(e3,e3)
    | ~ spl0_43
    | spl0_77 ),
    inference(forward_demodulation,[status(thm)],[f501,f1712]) ).

fof(f2834,plain,
    ( e3 != op(e1,e0)
    | ~ spl0_3 ),
    inference(backward_demodulation,[status(thm)],[f371,f78]) ).

fof(f2835,plain,
    ( ~ spl0_19
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f2834,f422,f370]) ).

fof(f2842,plain,
    ( e1 != op(op(op(e0,e0),op(e0,e0)),e3)
    | ~ spl0_3
    | spl0_90 ),
    inference(backward_demodulation,[status(thm)],[f371,f707]) ).

fof(f2863,plain,
    ( e3 != op(op(e2,op(e1,e1)),e2)
    | ~ spl0_22
    | spl0_72 ),
    inference(forward_demodulation,[status(thm)],[f433,f1940]) ).

fof(f2864,plain,
    ( e3 != op(op(e2,e2),e2)
    | ~ spl0_22
    | spl0_72 ),
    inference(forward_demodulation,[status(thm)],[f433,f2863]) ).

fof(f2872,plain,
    ( op(e1,e0) != e3
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f462,f110]) ).

fof(f2873,plain,
    ( ~ spl0_19
    | ~ spl0_31 ),
    inference(split_clause,[status(thm)],[f2872,f422,f461]) ).

fof(f2885,plain,
    ( e0 != op(e3,e3)
    | ~ spl0_44 ),
    inference(backward_demodulation,[status(thm)],[f505,f101]) ).

fof(f2886,plain,
    ( ~ spl0_60
    | ~ spl0_44 ),
    inference(split_clause,[status(thm)],[f2885,f556,f504]) ).

fof(f2889,plain,
    ( op(e0,e0) != e0
    | ~ spl0_48 ),
    inference(backward_demodulation,[status(thm)],[f518,f80]) ).

fof(f2891,plain,
    ( e0 != op(e3,e3)
    | ~ spl0_48 ),
    inference(backward_demodulation,[status(thm)],[f518,f122]) ).

fof(f2892,plain,
    ( ~ spl0_60
    | ~ spl0_48 ),
    inference(split_clause,[status(thm)],[f2891,f556,f517]) ).

fof(f2915,plain,
    ( op(e1,e1) = e3
    | ~ spl0_29
    | ~ spl0_104 ),
    inference(backward_demodulation,[status(thm)],[f456,f777]) ).

fof(f2916,plain,
    ( spl0_23
    | ~ spl0_29
    | ~ spl0_104 ),
    inference(split_clause,[status(thm)],[f2915,f435,f455,f776]) ).

fof(f2918,plain,
    ( e3 = e1
    | ~ spl0_31
    | ~ spl0_104
    | ~ spl0_29 ),
    inference(forward_demodulation,[status(thm)],[f2789,f456]) ).

fof(f2919,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_104
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2918,f130]) ).

fof(f2920,plain,
    ( ~ spl0_31
    | ~ spl0_104
    | ~ spl0_29 ),
    inference(contradiction_clause,[status(thm)],[f2919]) ).

fof(f2925,plain,
    ( op(e0,e0) != e2
    | ~ spl0_34 ),
    inference(backward_demodulation,[status(thm)],[f472,f79]) ).

fof(f2927,plain,
    ( op(e3,e1) = e3
    | ~ spl0_61
    | ~ spl0_68 ),
    inference(backward_demodulation,[status(thm)],[f560,f617]) ).

fof(f2928,plain,
    ( spl0_55
    | ~ spl0_61
    | ~ spl0_68 ),
    inference(split_clause,[status(thm)],[f2927,f539,f559,f616]) ).

fof(f2931,plain,
    ( op(e0,e1) != e3
    | ~ spl0_61
    | ~ spl0_68 ),
    inference(backward_demodulation,[status(thm)],[f1302,f86]) ).

fof(f2932,plain,
    ( ~ spl0_7
    | ~ spl0_61
    | ~ spl0_68 ),
    inference(split_clause,[status(thm)],[f2931,f383,f559,f616]) ).

fof(f2949,plain,
    ( ~ spl0_25
    | ~ spl0_21 ),
    inference(split_clause,[status(thm)],[f2527,f442,f429]) ).

fof(f2961,plain,
    ( ~ spl0_40
    | ~ spl0_36 ),
    inference(split_clause,[status(thm)],[f2691,f491,f478]) ).

fof(f2972,plain,
    ( ~ spl0_40
    | ~ spl0_34
    | spl0_95 ),
    inference(split_clause,[status(thm)],[f1759,f491,f471,f732]) ).

fof(f2980,plain,
    ( ~ spl0_40
    | ~ spl0_56 ),
    inference(split_clause,[status(thm)],[f2333,f491,f543]) ).

fof(f2987,plain,
    ( op(e3,e0) = e2
    | ~ spl0_56
    | ~ spl0_67 ),
    inference(backward_demodulation,[status(thm)],[f544,f613]) ).

fof(f2988,plain,
    ( spl0_50
    | ~ spl0_56
    | ~ spl0_67 ),
    inference(split_clause,[status(thm)],[f2987,f523,f543,f612]) ).

fof(f3071,plain,
    ( e3 != op(e0,e2)
    | ~ spl0_7 ),
    inference(backward_demodulation,[status(thm)],[f384,f105]) ).

fof(f3072,plain,
    ( ~ spl0_11
    | ~ spl0_7 ),
    inference(split_clause,[status(thm)],[f3071,f396,f383]) ).

fof(f3073,plain,
    ( e3 != op(e3,e1)
    | ~ spl0_7 ),
    inference(backward_demodulation,[status(thm)],[f384,f86]) ).

fof(f3074,plain,
    ( ~ spl0_55
    | ~ spl0_7 ),
    inference(split_clause,[status(thm)],[f3073,f539,f383]) ).

fof(f3082,plain,
    ( op(e1,e0) != e1
    | ~ spl0_21 ),
    inference(backward_demodulation,[status(thm)],[f430,f108]) ).

fof(f3083,plain,
    ( ~ spl0_17
    | ~ spl0_21 ),
    inference(split_clause,[status(thm)],[f3082,f416,f429]) ).

fof(f3118,plain,
    ( spl0_40
    | ~ spl0_34
    | ~ spl0_95 ),
    inference(split_clause,[status(thm)],[f1415,f491,f471,f732]) ).

fof(f3119,plain,
    ( ~ spl0_44
    | ~ spl0_34
    | ~ spl0_95 ),
    inference(split_clause,[status(thm)],[f1477,f504,f471,f732]) ).

fof(f3120,plain,
    ( e0 != op(e3,e2)
    | ~ spl0_34
    | ~ spl0_95 ),
    inference(backward_demodulation,[status(thm)],[f1415,f95]) ).

fof(f3121,plain,
    ( ~ spl0_56
    | ~ spl0_34
    | ~ spl0_95 ),
    inference(split_clause,[status(thm)],[f3120,f543,f471,f732]) ).

fof(f3123,plain,
    ( spl0_45
    | ~ spl0_39
    | ~ spl0_96 ),
    inference(split_clause,[status(thm)],[f1657,f507,f487,f736]) ).

fof(f3193,plain,
    ( spl0_38
    | ~ spl0_41
    | ~ spl0_97 ),
    inference(split_clause,[status(thm)],[f1505,f484,f494,f740]) ).

fof(f3200,plain,
    ( ~ spl0_2
    | ~ spl0_34 ),
    inference(split_clause,[status(thm)],[f2925,f367,f471]) ).

fof(f3205,plain,
    ( e2 != op(e3,e3)
    | ~ spl0_54 ),
    inference(backward_demodulation,[status(thm)],[f537,f124]) ).

fof(f3206,plain,
    ( ~ spl0_62
    | ~ spl0_54 ),
    inference(split_clause,[status(thm)],[f3205,f562,f536]) ).

fof(f3210,plain,
    ( op(e2,e2) = e0
    | ~ spl0_34
    | ~ spl0_95 ),
    inference(backward_demodulation,[status(thm)],[f472,f733]) ).

fof(f3237,plain,
    ( ~ spl0_0
    | ~ spl0_48 ),
    inference(split_clause,[status(thm)],[f2889,f361,f517]) ).

fof(f3239,plain,
    ( op(e1,e0) = e1
    | ~ spl0_20
    | ~ spl0_102 ),
    inference(backward_demodulation,[status(thm)],[f427,f769]) ).

fof(f3264,plain,
    ( e3 != op(e2,e2)
    | ~ spl0_11 ),
    inference(backward_demodulation,[status(thm)],[f397,f91]) ).

fof(f3279,plain,
    ( op(e1,e1) = e0
    | ~ spl0_20
    | ~ spl0_102
    | ~ spl0_101 ),
    inference(forward_demodulation,[status(thm)],[f3239,f765]) ).

fof(f3305,plain,
    ( e0 != op(e0,e3)
    | ~ spl0_0 ),
    inference(backward_demodulation,[status(thm)],[f362,f104]) ).

fof(f3306,plain,
    ( ~ spl0_12
    | ~ spl0_0 ),
    inference(split_clause,[status(thm)],[f3305,f400,f361]) ).

fof(f3309,plain,
    ( e0 != op(e0,e1)
    | ~ spl0_0 ),
    inference(backward_demodulation,[status(thm)],[f362,f102]) ).

fof(f3329,plain,
    ( e0 = e3
    | ~ spl0_48
    | ~ spl0_51 ),
    inference(forward_demodulation,[status(thm)],[f518,f527]) ).

fof(f3330,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_51 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3329,f128]) ).

fof(f3331,plain,
    ( ~ spl0_48
    | ~ spl0_51 ),
    inference(contradiction_clause,[status(thm)],[f3330]) ).

fof(f3333,plain,
    ( ~ spl0_3
    | ~ spl0_51 ),
    inference(split_clause,[status(thm)],[f2655,f370,f526]) ).

fof(f3334,plain,
    ( ~ spl0_63
    | ~ spl0_51 ),
    inference(split_clause,[status(thm)],[f2661,f565,f526]) ).

fof(f3338,plain,
    ( ~ spl0_43
    | ~ spl0_39 ),
    inference(split_clause,[status(thm)],[f1596,f500,f487]) ).

fof(f3339,plain,
    ( e0 != op(op(op(e2,e2),op(e2,e2)),e3)
    | ~ spl0_43
    | spl0_86 ),
    inference(backward_demodulation,[status(thm)],[f501,f691]) ).

fof(f3378,plain,
    ( e3 != op(e2,e2)
    | ~ spl0_30
    | ~ spl0_104 ),
    inference(backward_demodulation,[status(thm)],[f1233,f93]) ).

fof(f3379,plain,
    ( ~ spl0_43
    | ~ spl0_30
    | ~ spl0_104 ),
    inference(split_clause,[status(thm)],[f3378,f500,f458,f776]) ).

fof(f3390,plain,
    ( ~ spl0_7
    | ~ spl0_20
    | ~ spl0_41
    | spl0_76 ),
    inference(split_clause,[status(thm)],[f1890,f383,f426,f494,f654]) ).

fof(f3670,plain,
    ( e2 != op(op(op(e0,e0),op(e0,e0)),e1)
    | ~ spl0_1
    | spl0_82 ),
    inference(backward_demodulation,[status(thm)],[f365,f677]) ).

fof(f3671,plain,
    ( e2 != op(op(e1,op(e0,e0)),e1)
    | ~ spl0_1
    | spl0_82 ),
    inference(forward_demodulation,[status(thm)],[f365,f3670]) ).

fof(f3672,plain,
    ( e2 != op(op(e1,e1),e1)
    | ~ spl0_1
    | spl0_82 ),
    inference(forward_demodulation,[status(thm)],[f365,f3671]) ).

fof(f3706,plain,
    ( e3 != op(op(op(e1,e1),op(e1,e1)),e0)
    | ~ spl0_20
    | spl0_72 ),
    inference(backward_demodulation,[status(thm)],[f427,f642]) ).

fof(f3707,plain,
    ( e3 != op(op(e0,op(e1,e1)),e0)
    | ~ spl0_20
    | spl0_72 ),
    inference(forward_demodulation,[status(thm)],[f427,f3706]) ).

fof(f3708,plain,
    ( e3 != op(op(e0,e0),e0)
    | ~ spl0_20
    | spl0_72 ),
    inference(forward_demodulation,[status(thm)],[f427,f3707]) ).

fof(f3709,plain,
    ( e3 != op(e1,e0)
    | ~ spl0_1
    | ~ spl0_20
    | spl0_72 ),
    inference(forward_demodulation,[status(thm)],[f365,f3708]) ).

fof(f3710,plain,
    ( e3 != e3
    | ~ spl0_19
    | ~ spl0_1
    | ~ spl0_20
    | spl0_72 ),
    inference(forward_demodulation,[status(thm)],[f423,f3709]) ).

fof(f3711,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_1
    | ~ spl0_20
    | spl0_72 ),
    inference(trivial_equality_resolution,[status(esa)],[f3710]) ).

fof(f3712,plain,
    ( ~ spl0_19
    | ~ spl0_1
    | ~ spl0_20
    | spl0_72 ),
    inference(contradiction_clause,[status(thm)],[f3711]) ).

fof(f3725,plain,
    ( e0 != op(e1,op(e2,e2))
    | ~ spl0_38
    | ~ spl0_96
    | spl0_87 ),
    inference(forward_demodulation,[status(thm)],[f2688,f695]) ).

fof(f3726,plain,
    ( e0 != op(e1,e1)
    | ~ spl0_38
    | ~ spl0_96
    | spl0_87 ),
    inference(forward_demodulation,[status(thm)],[f2688,f3725]) ).

fof(f3727,plain,
    ( e0 != e0
    | ~ spl0_20
    | ~ spl0_38
    | ~ spl0_96
    | spl0_87 ),
    inference(forward_demodulation,[status(thm)],[f427,f3726]) ).

fof(f3728,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_38
    | ~ spl0_96
    | spl0_87 ),
    inference(trivial_equality_resolution,[status(esa)],[f3727]) ).

fof(f3729,plain,
    ( ~ spl0_20
    | ~ spl0_38
    | ~ spl0_96
    | spl0_87 ),
    inference(contradiction_clause,[status(thm)],[f3728]) ).

fof(f3734,plain,
    ( ~ spl0_2
    | ~ spl0_20
    | spl0_73 ),
    inference(split_clause,[status(thm)],[f1842,f367,f426,f643]) ).

fof(f3791,plain,
    ( ~ spl0_40
    | ~ spl0_32 ),
    inference(split_clause,[status(thm)],[f1375,f491,f465]) ).

fof(f3795,plain,
    ( ~ spl0_52
    | ~ spl0_20 ),
    inference(split_clause,[status(thm)],[f1847,f530,f426]) ).

fof(f3808,plain,
    ( e0 != op(e3,e1)
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f427,f88]) ).

fof(f3809,plain,
    ( e0 != e0
    | ~ spl0_49
    | ~ spl0_65
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f951,f3808]) ).

fof(f3810,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_65
    | ~ spl0_20 ),
    inference(trivial_equality_resolution,[status(esa)],[f3809]) ).

fof(f3811,plain,
    ( ~ spl0_49
    | ~ spl0_65
    | ~ spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f3810]) ).

fof(f3817,plain,
    ( ~ spl0_5
    | ~ spl0_37 ),
    inference(split_clause,[status(thm)],[f1013,f377,f481]) ).

fof(f3818,plain,
    ( ~ spl0_45
    | ~ spl0_37 ),
    inference(split_clause,[status(thm)],[f1991,f507,f481]) ).

fof(f3823,plain,
    ( op(e0,e0) = e3
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(forward_demodulation,[status(thm)],[f401,f806]) ).

fof(f3836,plain,
    ( op(e0,e0) != e3
    | ~ spl0_11 ),
    inference(backward_demodulation,[status(thm)],[f397,f103]) ).

fof(f3837,plain,
    ( ~ spl0_3
    | ~ spl0_11 ),
    inference(split_clause,[status(thm)],[f3836,f370,f396]) ).

fof(f3844,plain,
    ( ~ spl0_43
    | ~ spl0_11 ),
    inference(split_clause,[status(thm)],[f3264,f500,f396]) ).

fof(f3873,plain,
    ( e1 = e0
    | ~ spl0_37
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f482,f479]) ).

fof(f3874,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3873,f126]) ).

fof(f3875,plain,
    ( ~ spl0_37
    | ~ spl0_36 ),
    inference(contradiction_clause,[status(thm)],[f3874]) ).

fof(f3877,plain,
    ( e1 != op(e1,e1)
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f378,f84]) ).

fof(f3900,plain,
    ( e1 != op(op(op(e0,e0),e3),e3)
    | ~ spl0_3
    | spl0_90 ),
    inference(backward_demodulation,[status(thm)],[f371,f2842]) ).

fof(f3901,plain,
    ( e1 != op(op(e3,e3),e3)
    | ~ spl0_3
    | spl0_90 ),
    inference(forward_demodulation,[status(thm)],[f371,f3900]) ).

fof(f3922,plain,
    ( e0 != op(op(e1,e1),e1)
    | ~ spl0_61
    | spl0_88 ),
    inference(backward_demodulation,[status(thm)],[f560,f1776]) ).

fof(f3926,plain,
    ( ~ spl0_9
    | ~ spl0_5 ),
    inference(split_clause,[status(thm)],[f2380,f390,f377]) ).

fof(f4004,plain,
    ( e0 != op(e3,e1)
    | ~ spl0_23
    | ~ spl0_41
    | spl0_86 ),
    inference(forward_demodulation,[status(thm)],[f436,f1563]) ).

fof(f4031,plain,
    ( op(e0,e0) != e3
    | ~ spl0_35 ),
    inference(backward_demodulation,[status(thm)],[f475,f79]) ).

fof(f4032,plain,
    ( ~ spl0_3
    | ~ spl0_35 ),
    inference(split_clause,[status(thm)],[f4031,f370,f474]) ).

fof(f4066,plain,
    ( e2 != op(e1,e1)
    | ~ spl0_61
    | spl0_79 ),
    inference(forward_demodulation,[status(thm)],[f560,f1300]) ).

fof(f4068,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_41
    | spl0_86
    | ~ spl0_52 ),
    inference(forward_subsumption_resolution,[status(thm)],[f531,f4004]) ).

fof(f4069,plain,
    ( ~ spl0_23
    | ~ spl0_41
    | spl0_86
    | ~ spl0_52 ),
    inference(contradiction_clause,[status(thm)],[f4068]) ).

fof(f4159,plain,
    ( e3 != op(e0,e2)
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(backward_demodulation,[status(thm)],[f3823,f103]) ).

fof(f4188,plain,
    ( e2 != op(e1,e3)
    | ~ spl0_61
    | ~ spl0_3
    | spl0_82 ),
    inference(backward_demodulation,[status(thm)],[f560,f1709]) ).

fof(f4189,plain,
    ( ~ spl0_30
    | ~ spl0_61
    | ~ spl0_3
    | spl0_82 ),
    inference(split_clause,[status(thm)],[f4188,f458,f559,f370,f675]) ).

fof(f4270,plain,
    ( e0 != op(e3,e1)
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f479,f89]) ).

fof(f4344,plain,
    ( e1 != op(e3,op(e0,e0))
    | ~ spl0_3
    | spl0_91 ),
    inference(forward_demodulation,[status(thm)],[f371,f711]) ).

fof(f4345,plain,
    ( e1 != op(e3,e3)
    | ~ spl0_3
    | spl0_91 ),
    inference(forward_demodulation,[status(thm)],[f371,f4344]) ).

fof(f4346,plain,
    ( e1 != e1
    | ~ spl0_61
    | ~ spl0_3
    | spl0_91 ),
    inference(forward_demodulation,[status(thm)],[f560,f4345]) ).

fof(f4347,plain,
    ( $false
    | ~ spl0_61
    | ~ spl0_3
    | spl0_91 ),
    inference(trivial_equality_resolution,[status(esa)],[f4346]) ).

fof(f4348,plain,
    ( ~ spl0_61
    | ~ spl0_3
    | spl0_91 ),
    inference(contradiction_clause,[status(thm)],[f4347]) ).

fof(f4364,plain,
    ( e0 != op(e1,op(e3,e3))
    | ~ spl0_61
    | spl0_89 ),
    inference(forward_demodulation,[status(thm)],[f560,f703]) ).

fof(f4365,plain,
    ( e0 != op(e1,e1)
    | ~ spl0_61
    | spl0_89 ),
    inference(forward_demodulation,[status(thm)],[f560,f4364]) ).

fof(f4381,plain,
    ( op(e2,e2) != e1
    | ~ spl0_38
    | spl0_96 ),
    inference(backward_demodulation,[status(thm)],[f485,f738]) ).

fof(f4382,plain,
    ( ~ spl0_41
    | ~ spl0_38
    | spl0_96 ),
    inference(split_clause,[status(thm)],[f4381,f494,f484,f736]) ).

fof(f4385,plain,
    ( op(e3,e2) != e1
    | ~ spl0_61 ),
    inference(forward_demodulation,[status(thm)],[f560,f125]) ).

fof(f4392,plain,
    ( ~ spl0_23
    | ~ spl0_41
    | spl0_75 ),
    inference(split_clause,[status(thm)],[f1655,f435,f494,f650]) ).

fof(f4393,plain,
    ( ~ spl0_11
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(split_clause,[status(thm)],[f4159,f396,f400,f805]) ).

fof(f4395,plain,
    ( ~ spl0_51
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(split_clause,[status(thm)],[f2211,f526,f400,f805]) ).

fof(f4543,plain,
    ( e3 != op(op(e2,e2),e2)
    | ~ spl0_2
    | spl0_84 ),
    inference(forward_demodulation,[status(thm)],[f368,f2748]) ).

fof(f4544,plain,
    ( e3 != op(e1,e2)
    | ~ spl0_41
    | ~ spl0_2
    | spl0_84 ),
    inference(forward_demodulation,[status(thm)],[f495,f4543]) ).

fof(f4554,plain,
    ( $false
    | ~ spl0_61
    | spl0_79
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f433,f4066]) ).

fof(f4555,plain,
    ( ~ spl0_61
    | spl0_79
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f4554]) ).

fof(f4568,plain,
    ( op(e0,e2) != e3
    | ~ spl0_27 ),
    inference(backward_demodulation,[status(thm)],[f449,f90]) ).

fof(f4570,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_2
    | spl0_84
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f449,f4544]) ).

fof(f4571,plain,
    ( ~ spl0_41
    | ~ spl0_2
    | spl0_84
    | ~ spl0_27 ),
    inference(contradiction_clause,[status(thm)],[f4570]) ).

fof(f4580,plain,
    ( op(e3,e0) != e1
    | ~ spl0_52
    | spl0_66 ),
    inference(backward_demodulation,[status(thm)],[f531,f610]) ).

fof(f4599,plain,
    ( e2 = op(e1,op(e3,e3))
    | ~ spl0_61
    | ~ spl0_79 ),
    inference(forward_demodulation,[status(thm)],[f560,f665]) ).

fof(f4600,plain,
    ( e2 = op(e1,e1)
    | ~ spl0_61
    | ~ spl0_79 ),
    inference(forward_demodulation,[status(thm)],[f560,f4599]) ).

fof(f4601,plain,
    ( e0 != op(op(e1,op(e3,e3)),op(e3,e3))
    | ~ spl0_61
    | spl0_88 ),
    inference(forward_demodulation,[status(thm)],[f560,f699]) ).

fof(f4602,plain,
    ( e0 != op(op(e1,e1),op(e3,e3))
    | ~ spl0_61
    | spl0_88 ),
    inference(forward_demodulation,[status(thm)],[f560,f4601]) ).

fof(f4603,plain,
    ( e0 != op(e2,op(e3,e3))
    | ~ spl0_22
    | ~ spl0_61
    | spl0_88 ),
    inference(forward_demodulation,[status(thm)],[f433,f4602]) ).

fof(f4604,plain,
    ( e0 != op(e2,e1)
    | ~ spl0_22
    | ~ spl0_61
    | spl0_88 ),
    inference(forward_demodulation,[status(thm)],[f560,f4603]) ).

fof(f4612,plain,
    ( e1 != op(e2,op(e0,e0))
    | ~ spl0_2
    | spl0_91 ),
    inference(forward_demodulation,[status(thm)],[f368,f711]) ).

fof(f4613,plain,
    ( e1 != op(e2,e2)
    | ~ spl0_2
    | spl0_91 ),
    inference(forward_demodulation,[status(thm)],[f368,f4612]) ).

fof(f4614,plain,
    ( e1 != e1
    | ~ spl0_41
    | ~ spl0_2
    | spl0_91 ),
    inference(forward_demodulation,[status(thm)],[f495,f4613]) ).

fof(f4615,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_2
    | spl0_91 ),
    inference(trivial_equality_resolution,[status(esa)],[f4614]) ).

fof(f4616,plain,
    ( ~ spl0_41
    | ~ spl0_2
    | spl0_91 ),
    inference(contradiction_clause,[status(thm)],[f4615]) ).

fof(f4624,plain,
    ( ~ spl0_57
    | ~ spl0_61 ),
    inference(split_clause,[status(thm)],[f4385,f546,f559]) ).

fof(f4656,plain,
    ( e0 != op(op(e3,op(e2,e2)),e3)
    | ~ spl0_43
    | spl0_86 ),
    inference(forward_demodulation,[status(thm)],[f501,f3339]) ).

fof(f4657,plain,
    ( e0 != op(op(e3,e3),e3)
    | ~ spl0_43
    | spl0_86 ),
    inference(forward_demodulation,[status(thm)],[f501,f4656]) ).

fof(f4658,plain,
    ( e0 != op(e1,e3)
    | ~ spl0_61
    | ~ spl0_43
    | spl0_86 ),
    inference(forward_demodulation,[status(thm)],[f560,f4657]) ).

fof(f4659,plain,
    ( e0 != e0
    | ~ spl0_28
    | ~ spl0_61
    | ~ spl0_43
    | spl0_86 ),
    inference(forward_demodulation,[status(thm)],[f453,f4658]) ).

fof(f4660,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_61
    | ~ spl0_43
    | spl0_86 ),
    inference(trivial_equality_resolution,[status(esa)],[f4659]) ).

fof(f4661,plain,
    ( ~ spl0_28
    | ~ spl0_61
    | ~ spl0_43
    | spl0_86 ),
    inference(contradiction_clause,[status(thm)],[f4660]) ).

fof(f4662,plain,
    ( ~ spl0_20
    | ~ spl0_61
    | spl0_89 ),
    inference(split_clause,[status(thm)],[f4365,f426,f559,f701]) ).

fof(f4663,plain,
    ( ~ spl0_1
    | ~ spl0_40
    | spl0_77 ),
    inference(split_clause,[status(thm)],[f1294,f364,f491,f657]) ).

fof(f4716,plain,
    ( op(e1,e2) != e3
    | ~ spl0_59 ),
    inference(forward_demodulation,[status(thm)],[f553,f94]) ).

fof(f4774,plain,
    ( e1 != op(e1,e0)
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f365,f78]) ).

fof(f4829,plain,
    ( e2 != op(op(e0,op(e1,e1)),op(e1,e1))
    | ~ spl0_20
    | spl0_70 ),
    inference(forward_demodulation,[status(thm)],[f427,f635]) ).

fof(f4830,plain,
    ( e2 != op(op(e0,e0),op(e1,e1))
    | ~ spl0_20
    | spl0_70 ),
    inference(forward_demodulation,[status(thm)],[f427,f4829]) ).

fof(f4834,plain,
    ( op(e3,e0) != e0
    | ~ spl0_48
    | spl0_65 ),
    inference(backward_demodulation,[status(thm)],[f518,f606]) ).

fof(f4835,plain,
    ( ~ spl0_48
    | spl0_65 ),
    inference(split_clause,[status(thm)],[f4834,f517,f604]) ).

fof(f4904,plain,
    ( e1 != op(op(e2,e2),e0)
    | ~ spl0_34
    | ~ spl0_95
    | spl0_77 ),
    inference(backward_demodulation,[status(thm)],[f3210,f659]) ).

fof(f4905,plain,
    ( e1 != op(e0,e0)
    | ~ spl0_34
    | ~ spl0_95
    | spl0_77 ),
    inference(forward_demodulation,[status(thm)],[f3210,f4904]) ).

fof(f4906,plain,
    ( e1 != e1
    | ~ spl0_1
    | ~ spl0_34
    | ~ spl0_95
    | spl0_77 ),
    inference(forward_demodulation,[status(thm)],[f365,f4905]) ).

fof(f4907,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_34
    | ~ spl0_95
    | spl0_77 ),
    inference(trivial_equality_resolution,[status(esa)],[f4906]) ).

fof(f4908,plain,
    ( ~ spl0_1
    | ~ spl0_34
    | ~ spl0_95
    | spl0_77 ),
    inference(contradiction_clause,[status(thm)],[f4907]) ).

fof(f4913,plain,
    ( e0 != op(op(op(e1,e1),op(e1,e1)),e2)
    | ~ spl0_22
    | spl0_92 ),
    inference(backward_demodulation,[status(thm)],[f433,f715]) ).

fof(f4914,plain,
    ( ~ spl0_24
    | ~ spl0_41
    | ~ spl0_22
    | spl0_92 ),
    inference(split_clause,[status(thm)],[f1611,f439,f494,f432,f713]) ).

fof(f4970,plain,
    ( ~ spl0_52
    | ~ spl0_36 ),
    inference(split_clause,[status(thm)],[f4270,f530,f478]) ).

fof(f4981,plain,
    ( ~ spl0_24
    | ~ spl0_28 ),
    inference(split_clause,[status(thm)],[f1139,f439,f452]) ).

fof(f5086,plain,
    ( e1 = e2
    | ~ spl0_21
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f430,f433]) ).

fof(f5087,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5086,f129]) ).

fof(f5088,plain,
    ( ~ spl0_21
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f5087]) ).

fof(f5182,plain,
    ( op(e3,e2) = e3
    | ~ spl0_62
    | ~ spl0_68 ),
    inference(forward_demodulation,[status(thm)],[f563,f617]) ).

fof(f5183,plain,
    ( e1 = e3
    | ~ spl0_57
    | ~ spl0_62
    | ~ spl0_68 ),
    inference(forward_demodulation,[status(thm)],[f547,f5182]) ).

fof(f5184,plain,
    ( $false
    | ~ spl0_57
    | ~ spl0_62
    | ~ spl0_68 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5183,f130]) ).

fof(f5185,plain,
    ( ~ spl0_57
    | ~ spl0_62
    | ~ spl0_68 ),
    inference(contradiction_clause,[status(thm)],[f5184]) ).

fof(f5368,plain,
    ( e2 != op(e3,op(e1,e1))
    | ~ spl0_3
    | ~ spl0_20
    | spl0_70 ),
    inference(forward_demodulation,[status(thm)],[f371,f4830]) ).

fof(f5369,plain,
    ( e2 != op(e3,e0)
    | ~ spl0_102
    | ~ spl0_101
    | ~ spl0_3
    | ~ spl0_20
    | spl0_70 ),
    inference(forward_demodulation,[status(thm)],[f3279,f5368]) ).

fof(f5370,plain,
    ( e2 != e2
    | ~ spl0_50
    | ~ spl0_102
    | ~ spl0_101
    | ~ spl0_3
    | ~ spl0_20
    | spl0_70 ),
    inference(forward_demodulation,[status(thm)],[f524,f5369]) ).

fof(f5371,plain,
    ( $false
    | ~ spl0_50
    | ~ spl0_102
    | ~ spl0_101
    | ~ spl0_3
    | ~ spl0_20
    | spl0_70 ),
    inference(trivial_equality_resolution,[status(esa)],[f5370]) ).

fof(f5372,plain,
    ( ~ spl0_50
    | ~ spl0_102
    | ~ spl0_101
    | ~ spl0_3
    | ~ spl0_20
    | spl0_70 ),
    inference(contradiction_clause,[status(thm)],[f5371]) ).

fof(f5389,plain,
    ( e0 != op(op(e1,e1),e2)
    | ~ spl0_22
    | spl0_93 ),
    inference(backward_demodulation,[status(thm)],[f433,f719]) ).

fof(f5524,plain,
    ( ~ spl0_45
    | ~ spl0_62
    | ~ spl0_3
    | spl0_90 ),
    inference(split_clause,[status(thm)],[f2145,f507,f562,f370,f705]) ).

fof(f5532,plain,
    ( e0 != op(op(op(e1,e1),e2),e2)
    | ~ spl0_22
    | spl0_92 ),
    inference(backward_demodulation,[status(thm)],[f433,f4913]) ).

fof(f5586,plain,
    ( e0 != op(op(e3,e3),e2)
    | ~ spl0_62
    | spl0_89 ),
    inference(backward_demodulation,[status(thm)],[f563,f703]) ).

fof(f5587,plain,
    ( e0 != op(e2,e2)
    | ~ spl0_62
    | spl0_89 ),
    inference(forward_demodulation,[status(thm)],[f563,f5586]) ).

fof(f5612,plain,
    ( e1 != op(op(e3,e3),e2)
    | ~ spl0_62
    | spl0_81 ),
    inference(backward_demodulation,[status(thm)],[f563,f673]) ).

fof(f5613,plain,
    ( e1 != op(e2,e2)
    | ~ spl0_62
    | spl0_81 ),
    inference(forward_demodulation,[status(thm)],[f563,f5612]) ).

fof(f5626,plain,
    ( e0 != op(op(e2,e2),e2)
    | ~ spl0_22
    | spl0_92 ),
    inference(backward_demodulation,[status(thm)],[f433,f5532]) ).

fof(f5627,plain,
    ( e0 != op(e3,e2)
    | ~ spl0_43
    | ~ spl0_22
    | spl0_92 ),
    inference(forward_demodulation,[status(thm)],[f501,f5626]) ).

fof(f5632,plain,
    ( e0 != op(e2,e2)
    | ~ spl0_22
    | spl0_93 ),
    inference(backward_demodulation,[status(thm)],[f433,f5389]) ).

fof(f5640,plain,
    ( e2 != op(e3,op(e0,e0))
    | ~ spl0_3
    | spl0_85 ),
    inference(forward_demodulation,[status(thm)],[f371,f687]) ).

fof(f5641,plain,
    ( e2 != op(e3,e3)
    | ~ spl0_3
    | spl0_85 ),
    inference(forward_demodulation,[status(thm)],[f371,f5640]) ).

fof(f5642,plain,
    ( e2 != e2
    | ~ spl0_62
    | ~ spl0_3
    | spl0_85 ),
    inference(forward_demodulation,[status(thm)],[f563,f5641]) ).

fof(f5643,plain,
    ( $false
    | ~ spl0_62
    | ~ spl0_3
    | spl0_85 ),
    inference(trivial_equality_resolution,[status(esa)],[f5642]) ).

fof(f5644,plain,
    ( ~ spl0_62
    | ~ spl0_3
    | spl0_85 ),
    inference(contradiction_clause,[status(thm)],[f5643]) ).

fof(f5645,plain,
    ( e1 != op(op(e2,op(e3,e3)),op(e3,e3))
    | ~ spl0_62
    | spl0_78 ),
    inference(forward_demodulation,[status(thm)],[f563,f663]) ).

fof(f5646,plain,
    ( e1 != op(op(e2,e2),op(e3,e3))
    | ~ spl0_62
    | spl0_78 ),
    inference(forward_demodulation,[status(thm)],[f563,f5645]) ).

fof(f5647,plain,
    ( e1 != op(op(e2,e2),e2)
    | ~ spl0_62
    | spl0_78 ),
    inference(forward_demodulation,[status(thm)],[f563,f5646]) ).

fof(f5715,plain,
    ( e1 != op(e2,e0)
    | ~ spl0_2
    | ~ spl0_40
    | spl0_74 ),
    inference(forward_demodulation,[status(thm)],[f368,f1343]) ).

fof(f5796,plain,
    ( e3 != op(op(e0,e0),e2)
    | ~ spl0_2
    | spl0_83 ),
    inference(backward_demodulation,[status(thm)],[f368,f680]) ).

fof(f5797,plain,
    ( e3 != op(e2,e2)
    | ~ spl0_2
    | spl0_83 ),
    inference(forward_demodulation,[status(thm)],[f368,f5796]) ).

fof(f5810,plain,
    ( e0 != op(op(e2,e2),e3)
    | ~ spl0_43
    | spl0_87 ),
    inference(backward_demodulation,[status(thm)],[f501,f695]) ).

fof(f5874,plain,
    ( e3 != op(e3,e3)
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f410,f98]) ).

fof(f5879,plain,
    ( $false
    | ~ spl0_2
    | spl0_83
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[status(thm)],[f501,f5797]) ).

fof(f5880,plain,
    ( ~ spl0_2
    | spl0_83
    | ~ spl0_43 ),
    inference(contradiction_clause,[status(thm)],[f5879]) ).

fof(f5913,plain,
    ( e0 != op(op(e3,op(e1,e1)),op(e1,e1))
    | ~ spl0_23
    | spl0_92 ),
    inference(forward_demodulation,[status(thm)],[f436,f715]) ).

fof(f5914,plain,
    ( e0 != op(op(e3,e3),op(e1,e1))
    | ~ spl0_23
    | spl0_92 ),
    inference(forward_demodulation,[status(thm)],[f436,f5913]) ).

fof(f5915,plain,
    ( e0 != op(e2,op(e1,e1))
    | ~ spl0_62
    | ~ spl0_23
    | spl0_92 ),
    inference(forward_demodulation,[status(thm)],[f563,f5914]) ).

fof(f5916,plain,
    ( e0 != op(e2,e3)
    | ~ spl0_62
    | ~ spl0_23
    | spl0_92 ),
    inference(forward_demodulation,[status(thm)],[f436,f5915]) ).

fof(f5942,plain,
    ( e1 != op(op(e2,op(e0,e0)),op(e0,e0))
    | ~ spl0_2
    | spl0_90 ),
    inference(forward_demodulation,[status(thm)],[f368,f707]) ).

fof(f5943,plain,
    ( e1 != op(op(e2,e2),op(e0,e0))
    | ~ spl0_2
    | spl0_90 ),
    inference(forward_demodulation,[status(thm)],[f368,f5942]) ).

fof(f5944,plain,
    ( e1 != op(e3,op(e0,e0))
    | ~ spl0_43
    | ~ spl0_2
    | spl0_90 ),
    inference(forward_demodulation,[status(thm)],[f501,f5943]) ).

fof(f5945,plain,
    ( e1 != op(e3,e2)
    | ~ spl0_43
    | ~ spl0_2
    | spl0_90 ),
    inference(forward_demodulation,[status(thm)],[f368,f5944]) ).

fof(f5946,plain,
    ( e1 != e1
    | ~ spl0_57
    | ~ spl0_43
    | ~ spl0_2
    | spl0_90 ),
    inference(forward_demodulation,[status(thm)],[f547,f5945]) ).

fof(f5947,plain,
    ( $false
    | ~ spl0_57
    | ~ spl0_43
    | ~ spl0_2
    | spl0_90 ),
    inference(trivial_equality_resolution,[status(esa)],[f5946]) ).

fof(f5948,plain,
    ( ~ spl0_57
    | ~ spl0_43
    | ~ spl0_2
    | spl0_90 ),
    inference(contradiction_clause,[status(thm)],[f5947]) ).

fof(f5949,plain,
    ( ~ spl0_11
    | ~ spl0_27 ),
    inference(split_clause,[status(thm)],[f4568,f396,f448]) ).

fof(f5966,plain,
    ( e3 != op(e2,e3)
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f475,f116]) ).

fof(f6013,plain,
    ( ~ spl0_39
    | ~ spl0_35 ),
    inference(split_clause,[status(thm)],[f2738,f487,f474]) ).

fof(f6039,plain,
    ( e3 != op(e2,e0)
    | ~ spl0_2
    | ~ spl0_20
    | spl0_72 ),
    inference(forward_demodulation,[status(thm)],[f368,f3708]) ).

fof(f6040,plain,
    ( e3 != e3
    | ~ spl0_35
    | ~ spl0_2
    | ~ spl0_20
    | spl0_72 ),
    inference(forward_demodulation,[status(thm)],[f475,f6039]) ).

fof(f6041,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_2
    | ~ spl0_20
    | spl0_72 ),
    inference(trivial_equality_resolution,[status(esa)],[f6040]) ).

fof(f6042,plain,
    ( ~ spl0_35
    | ~ spl0_2
    | ~ spl0_20
    | spl0_72 ),
    inference(contradiction_clause,[status(thm)],[f6041]) ).

fof(f6055,plain,
    ( ~ spl0_40
    | ~ spl0_22
    | spl0_93 ),
    inference(split_clause,[status(thm)],[f5632,f491,f432,f717]) ).

fof(f6065,plain,
    ( e3 != op(e2,e3)
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f410,f97]) ).

fof(f6117,plain,
    ( ~ spl0_33
    | ~ spl0_2
    | ~ spl0_40
    | spl0_74 ),
    inference(split_clause,[status(thm)],[f5715,f468,f367,f491,f647]) ).

fof(f6269,plain,
    ( e1 != op(op(op(e3,e3),op(e3,e3)),e0)
    | ~ spl0_60
    | spl0_78 ),
    inference(backward_demodulation,[status(thm)],[f557,f663]) ).

fof(f6270,plain,
    ( e1 != op(op(e0,op(e3,e3)),e0)
    | ~ spl0_60
    | spl0_78 ),
    inference(forward_demodulation,[status(thm)],[f557,f6269]) ).

fof(f6271,plain,
    ( e1 != op(op(e0,e0),e0)
    | ~ spl0_60
    | spl0_78 ),
    inference(forward_demodulation,[status(thm)],[f557,f6270]) ).

fof(f6272,plain,
    ( e1 != op(e2,e0)
    | ~ spl0_2
    | ~ spl0_60
    | spl0_78 ),
    inference(forward_demodulation,[status(thm)],[f368,f6271]) ).

fof(f6274,plain,
    ( e1 != op(op(e3,e3),e0)
    | ~ spl0_60
    | spl0_81 ),
    inference(backward_demodulation,[status(thm)],[f557,f673]) ).

fof(f6275,plain,
    ( e1 != op(e0,e0)
    | ~ spl0_60
    | spl0_81 ),
    inference(forward_demodulation,[status(thm)],[f557,f6274]) ).

fof(f6281,plain,
    ( e0 = op(e2,op(e1,e1))
    | ~ spl0_22
    | ~ spl0_93 ),
    inference(forward_demodulation,[status(thm)],[f433,f718]) ).

fof(f6282,plain,
    ( e0 = op(e2,e2)
    | ~ spl0_22
    | ~ spl0_93 ),
    inference(forward_demodulation,[status(thm)],[f433,f6281]) ).

fof(f6295,plain,
    ( e3 != op(e0,e2)
    | ~ spl0_40
    | ~ spl0_22
    | spl0_72 ),
    inference(forward_demodulation,[status(thm)],[f492,f2864]) ).

fof(f6297,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_60
    | spl0_78
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[status(thm)],[f469,f6272]) ).

fof(f6298,plain,
    ( ~ spl0_2
    | ~ spl0_60
    | spl0_78
    | ~ spl0_33 ),
    inference(contradiction_clause,[status(thm)],[f6297]) ).

fof(f6299,plain,
    ( e2 != op(op(e3,e3),e0)
    | ~ spl0_60
    | spl0_79 ),
    inference(backward_demodulation,[status(thm)],[f557,f666]) ).

fof(f6300,plain,
    ( e2 != op(e0,e0)
    | ~ spl0_60
    | spl0_79 ),
    inference(forward_demodulation,[status(thm)],[f557,f6299]) ).

fof(f6303,plain,
    ( e2 != op(op(e0,e0),e1)
    | ~ spl0_1
    | spl0_85 ),
    inference(backward_demodulation,[status(thm)],[f365,f687]) ).

fof(f6310,plain,
    ( spl0_56
    | ~ spl0_50
    | ~ spl0_65 ),
    inference(split_clause,[status(thm)],[f1872,f543,f523,f604]) ).

fof(f6337,plain,
    ( op(e0,e3) != e3
    | ~ spl0_15
    | spl0_109 ),
    inference(forward_demodulation,[status(thm)],[f410,f807]) ).

fof(f6338,plain,
    ( e3 != e3
    | ~ spl0_15
    | spl0_109 ),
    inference(forward_demodulation,[status(thm)],[f410,f6337]) ).

fof(f6339,plain,
    ( $false
    | ~ spl0_15
    | spl0_109 ),
    inference(trivial_equality_resolution,[status(esa)],[f6338]) ).

fof(f6340,plain,
    ( ~ spl0_15
    | spl0_109 ),
    inference(contradiction_clause,[status(thm)],[f6339]) ).

fof(f6375,plain,
    ( op(e2,e1) != e1
    | ~ spl0_37
    | spl0_96 ),
    inference(forward_demodulation,[status(thm)],[f482,f738]) ).

fof(f6376,plain,
    ( e1 != e1
    | ~ spl0_37
    | spl0_96 ),
    inference(forward_demodulation,[status(thm)],[f482,f6375]) ).

fof(f6377,plain,
    ( $false
    | ~ spl0_37
    | spl0_96 ),
    inference(trivial_equality_resolution,[status(esa)],[f6376]) ).

fof(f6378,plain,
    ( ~ spl0_37
    | spl0_96 ),
    inference(contradiction_clause,[status(thm)],[f6377]) ).

fof(f6382,plain,
    ( ~ spl0_17
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f4774,f416,f364]) ).

fof(f6403,plain,
    ( e3 = e0
    | ~ spl0_35
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f475,f466]) ).

fof(f6404,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6403,f128]) ).

fof(f6405,plain,
    ( ~ spl0_35
    | ~ spl0_32 ),
    inference(contradiction_clause,[status(thm)],[f6404]) ).

fof(f6406,plain,
    ( ~ spl0_47
    | ~ spl0_35 ),
    inference(split_clause,[status(thm)],[f5966,f513,f474]) ).

fof(f6412,plain,
    ( e2 != op(e1,e1)
    | ~ spl0_1
    | spl0_85 ),
    inference(backward_demodulation,[status(thm)],[f365,f6303]) ).

fof(f6413,plain,
    ( ~ spl0_22
    | ~ spl0_1
    | spl0_85 ),
    inference(split_clause,[status(thm)],[f6412,f432,f364,f685]) ).

fof(f6416,plain,
    ( ~ spl0_49
    | ~ spl0_52
    | spl0_66 ),
    inference(split_clause,[status(thm)],[f4580,f520,f530,f608]) ).

fof(f6419,plain,
    ( op(e2,e0) = e2
    | ~ spl0_22
    | ~ spl0_93
    | ~ spl0_97 ),
    inference(forward_demodulation,[status(thm)],[f6282,f741]) ).

fof(f6420,plain,
    ( e3 = e2
    | ~ spl0_35
    | ~ spl0_22
    | ~ spl0_93
    | ~ spl0_97 ),
    inference(forward_demodulation,[status(thm)],[f475,f6419]) ).

fof(f6421,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_22
    | ~ spl0_93
    | ~ spl0_97 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6420,f131]) ).

fof(f6422,plain,
    ( ~ spl0_35
    | ~ spl0_22
    | ~ spl0_93
    | ~ spl0_97 ),
    inference(contradiction_clause,[status(thm)],[f6421]) ).

fof(f6448,plain,
    ( e3 != op(op(e0,op(e2,e2)),op(e2,e2))
    | ~ spl0_40
    | spl0_76 ),
    inference(forward_demodulation,[status(thm)],[f492,f656]) ).

fof(f6449,plain,
    ( e3 != op(op(e0,e0),op(e2,e2))
    | ~ spl0_40
    | spl0_76 ),
    inference(forward_demodulation,[status(thm)],[f492,f6448]) ).

fof(f6450,plain,
    ( e3 != op(e1,op(e2,e2))
    | ~ spl0_1
    | ~ spl0_40
    | spl0_76 ),
    inference(forward_demodulation,[status(thm)],[f365,f6449]) ).

fof(f6451,plain,
    ( e1 != op(op(e0,op(e2,e2)),op(e2,e2))
    | ~ spl0_40
    | spl0_74 ),
    inference(forward_demodulation,[status(thm)],[f492,f649]) ).

fof(f6452,plain,
    ( e1 != op(op(e0,e0),op(e2,e2))
    | ~ spl0_40
    | spl0_74 ),
    inference(forward_demodulation,[status(thm)],[f492,f6451]) ).

fof(f6576,plain,
    ( ~ spl0_6
    | ~ spl0_20
    | ~ spl0_61
    | spl0_80 ),
    inference(split_clause,[status(thm)],[f1782,f380,f426,f559,f668]) ).

fof(f6592,plain,
    ( e3 != op(op(e1,op(e0,e0)),op(e0,e0))
    | ~ spl0_1
    | spl0_84 ),
    inference(forward_demodulation,[status(thm)],[f365,f684]) ).

fof(f6593,plain,
    ( e3 != op(op(e1,e1),op(e0,e0))
    | ~ spl0_1
    | spl0_84 ),
    inference(forward_demodulation,[status(thm)],[f365,f6592]) ).

fof(f6594,plain,
    ( e3 != op(op(e1,e1),e1)
    | ~ spl0_1
    | spl0_84 ),
    inference(forward_demodulation,[status(thm)],[f365,f6593]) ).

fof(f6604,plain,
    ( e1 != op(e1,e3)
    | ~ spl0_25 ),
    inference(backward_demodulation,[status(thm)],[f443,f113]) ).

fof(f6605,plain,
    ( ~ spl0_29
    | ~ spl0_25 ),
    inference(split_clause,[status(thm)],[f6604,f455,f442]) ).

fof(f6620,plain,
    ( ~ spl0_1
    | ~ spl0_33 ),
    inference(split_clause,[status(thm)],[f1676,f364,f468]) ).

fof(f6626,plain,
    ( ~ spl0_47
    | ~ spl0_15 ),
    inference(split_clause,[status(thm)],[f6065,f513,f409]) ).

fof(f6635,plain,
    ( e2 = e3
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f420,f423]) ).

fof(f6636,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6635,f131]) ).

fof(f6637,plain,
    ( ~ spl0_18
    | ~ spl0_19 ),
    inference(contradiction_clause,[status(thm)],[f6636]) ).

fof(f6661,plain,
    ( ~ spl0_27
    | ~ spl0_59 ),
    inference(split_clause,[status(thm)],[f4716,f448,f552]) ).

fof(f6713,plain,
    ( e1 != op(e0,e2)
    | ~ spl0_40
    | ~ spl0_62
    | spl0_78 ),
    inference(backward_demodulation,[status(thm)],[f492,f5647]) ).

fof(f6714,plain,
    ( ~ spl0_9
    | ~ spl0_40
    | ~ spl0_62
    | spl0_78 ),
    inference(split_clause,[status(thm)],[f6713,f390,f491,f562,f661]) ).

fof(f6770,plain,
    ( e2 = e1
    | ~ spl0_10
    | ~ spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f394,f391]) ).

fof(f6771,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6770,f129]) ).

fof(f6772,plain,
    ( ~ spl0_10
    | ~ spl0_9 ),
    inference(contradiction_clause,[status(thm)],[f6771]) ).

fof(f6788,plain,
    ( e3 != op(e3,e3)
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f462,f100]) ).

fof(f6937,plain,
    ( ~ spl0_36
    | ~ spl0_22
    | ~ spl0_61
    | spl0_88 ),
    inference(split_clause,[status(thm)],[f4604,f478,f432,f559,f697]) ).

fof(f6982,plain,
    ( e0 != op(e2,e1)
    | ~ spl0_79
    | ~ spl0_61
    | spl0_88 ),
    inference(forward_demodulation,[status(thm)],[f4600,f3922]) ).

fof(f6983,plain,
    ( e0 != e0
    | ~ spl0_36
    | ~ spl0_79
    | ~ spl0_61
    | spl0_88 ),
    inference(forward_demodulation,[status(thm)],[f479,f6982]) ).

fof(f6984,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_79
    | ~ spl0_61
    | spl0_88 ),
    inference(trivial_equality_resolution,[status(esa)],[f6983]) ).

fof(f6985,plain,
    ( ~ spl0_36
    | ~ spl0_79
    | ~ spl0_61
    | spl0_88 ),
    inference(contradiction_clause,[status(thm)],[f6984]) ).

fof(f7053,plain,
    ( ~ spl0_2
    | ~ spl0_60
    | spl0_79 ),
    inference(split_clause,[status(thm)],[f6300,f367,f556,f664]) ).

fof(f7223,plain,
    ( ~ spl0_11
    | ~ spl0_40
    | ~ spl0_22
    | spl0_72 ),
    inference(split_clause,[status(thm)],[f6295,f396,f491,f432,f640]) ).

fof(f7232,plain,
    ( e3 != op(e0,op(e1,e1))
    | ~ spl0_93
    | spl0_72 ),
    inference(forward_demodulation,[status(thm)],[f718,f642]) ).

fof(f7233,plain,
    ( e3 != op(e0,e2)
    | ~ spl0_22
    | ~ spl0_93
    | spl0_72 ),
    inference(forward_demodulation,[status(thm)],[f433,f7232]) ).

fof(f7234,plain,
    ( e3 != e3
    | ~ spl0_11
    | ~ spl0_22
    | ~ spl0_93
    | spl0_72 ),
    inference(forward_demodulation,[status(thm)],[f397,f7233]) ).

fof(f7235,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_22
    | ~ spl0_93
    | spl0_72 ),
    inference(trivial_equality_resolution,[status(esa)],[f7234]) ).

fof(f7236,plain,
    ( ~ spl0_11
    | ~ spl0_22
    | ~ spl0_93
    | spl0_72 ),
    inference(contradiction_clause,[status(thm)],[f7235]) ).

fof(f7251,plain,
    ( op(e3,e1) != e0
    | ~ spl0_49
    | spl0_65 ),
    inference(backward_demodulation,[status(thm)],[f521,f606]) ).

fof(f7261,plain,
    ( e0 != op(e3,e3)
    | ~ spl0_43
    | spl0_87 ),
    inference(backward_demodulation,[status(thm)],[f501,f5810]) ).

fof(f7262,plain,
    ( ~ spl0_60
    | ~ spl0_43
    | spl0_87 ),
    inference(split_clause,[status(thm)],[f7261,f556,f500,f693]) ).

fof(f7354,plain,
    ( e1 != op(e0,e3)
    | ~ spl0_60
    | ~ spl0_3
    | spl0_90 ),
    inference(forward_demodulation,[status(thm)],[f557,f3901]) ).

fof(f7355,plain,
    ( e1 != e1
    | ~ spl0_13
    | ~ spl0_60
    | ~ spl0_3
    | spl0_90 ),
    inference(forward_demodulation,[status(thm)],[f404,f7354]) ).

fof(f7356,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_60
    | ~ spl0_3
    | spl0_90 ),
    inference(trivial_equality_resolution,[status(esa)],[f7355]) ).

fof(f7357,plain,
    ( ~ spl0_13
    | ~ spl0_60
    | ~ spl0_3
    | spl0_90 ),
    inference(contradiction_clause,[status(thm)],[f7356]) ).

fof(f7475,plain,
    ( e1 != op(op(e3,op(e2,e2)),op(e2,e2))
    | ~ spl0_43
    | spl0_74 ),
    inference(forward_demodulation,[status(thm)],[f501,f649]) ).

fof(f7476,plain,
    ( e1 != op(op(e3,e3),op(e2,e2))
    | ~ spl0_43
    | spl0_74 ),
    inference(forward_demodulation,[status(thm)],[f501,f7475]) ).

fof(f7477,plain,
    ( e1 != op(e0,op(e2,e2))
    | ~ spl0_60
    | ~ spl0_43
    | spl0_74 ),
    inference(forward_demodulation,[status(thm)],[f557,f7476]) ).

fof(f7478,plain,
    ( e1 != op(e0,e3)
    | ~ spl0_60
    | ~ spl0_43
    | spl0_74 ),
    inference(forward_demodulation,[status(thm)],[f501,f7477]) ).

fof(f7479,plain,
    ( e1 != e1
    | ~ spl0_13
    | ~ spl0_60
    | ~ spl0_43
    | spl0_74 ),
    inference(forward_demodulation,[status(thm)],[f404,f7478]) ).

fof(f7480,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_60
    | ~ spl0_43
    | spl0_74 ),
    inference(trivial_equality_resolution,[status(esa)],[f7479]) ).

fof(f7481,plain,
    ( ~ spl0_13
    | ~ spl0_60
    | ~ spl0_43
    | spl0_74 ),
    inference(contradiction_clause,[status(thm)],[f7480]) ).

fof(f7684,plain,
    ( ~ spl0_1
    | ~ spl0_60
    | spl0_81 ),
    inference(split_clause,[status(thm)],[f6275,f364,f556,f671]) ).

fof(f7731,plain,
    ( op(e2,e3) != e1
    | ~ spl0_39
    | spl0_96 ),
    inference(backward_demodulation,[status(thm)],[f488,f738]) ).

fof(f7755,plain,
    ( e2 != op(op(e0,op(e3,e3)),op(e3,e3))
    | ~ spl0_60
    | spl0_80 ),
    inference(forward_demodulation,[status(thm)],[f557,f670]) ).

fof(f7756,plain,
    ( e2 != op(op(e0,e0),op(e3,e3))
    | ~ spl0_60
    | spl0_80 ),
    inference(forward_demodulation,[status(thm)],[f557,f7755]) ).

fof(f7757,plain,
    ( e2 != op(e1,op(e3,e3))
    | ~ spl0_1
    | ~ spl0_60
    | spl0_80 ),
    inference(forward_demodulation,[status(thm)],[f365,f7756]) ).

fof(f7758,plain,
    ( e2 != op(e1,e0)
    | ~ spl0_1
    | ~ spl0_60
    | spl0_80 ),
    inference(forward_demodulation,[status(thm)],[f557,f7757]) ).

fof(f7759,plain,
    ( e2 != e2
    | ~ spl0_18
    | ~ spl0_1
    | ~ spl0_60
    | spl0_80 ),
    inference(forward_demodulation,[status(thm)],[f420,f7758]) ).

fof(f7760,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_1
    | ~ spl0_60
    | spl0_80 ),
    inference(trivial_equality_resolution,[status(esa)],[f7759]) ).

fof(f7761,plain,
    ( ~ spl0_18
    | ~ spl0_1
    | ~ spl0_60
    | spl0_80 ),
    inference(contradiction_clause,[status(thm)],[f7760]) ).

fof(f7774,plain,
    ( e0 != op(e3,e3)
    | ~ spl0_23
    | spl0_93 ),
    inference(backward_demodulation,[status(thm)],[f436,f1295]) ).

fof(f7824,plain,
    ( ~ spl0_61
    | ~ spl0_43
    | spl0_77 ),
    inference(split_clause,[status(thm)],[f2829,f559,f500,f657]) ).

fof(f7875,plain,
    ( op(e1,e3) != e0
    | ~ spl0_44 ),
    inference(backward_demodulation,[status(thm)],[f505,f99]) ).

fof(f8037,plain,
    ( ~ spl0_44
    | ~ spl0_62
    | ~ spl0_23
    | spl0_92 ),
    inference(split_clause,[status(thm)],[f5916,f504,f562,f435,f713]) ).

fof(f8168,plain,
    ( e2 != op(e3,op(e1,e1))
    | ~ spl0_23
    | spl0_73 ),
    inference(forward_demodulation,[status(thm)],[f436,f645]) ).

fof(f8169,plain,
    ( e2 != op(e3,e3)
    | ~ spl0_23
    | spl0_73 ),
    inference(forward_demodulation,[status(thm)],[f436,f8168]) ).

fof(f8170,plain,
    ( e2 != e2
    | ~ spl0_62
    | ~ spl0_23
    | spl0_73 ),
    inference(forward_demodulation,[status(thm)],[f563,f8169]) ).

fof(f8171,plain,
    ( $false
    | ~ spl0_62
    | ~ spl0_23
    | spl0_73 ),
    inference(trivial_equality_resolution,[status(esa)],[f8170]) ).

fof(f8172,plain,
    ( ~ spl0_62
    | ~ spl0_23
    | spl0_73 ),
    inference(contradiction_clause,[status(thm)],[f8171]) ).

fof(f8192,plain,
    ( op(e3,e2) = e3
    | ~ spl0_62
    | ~ spl0_68 ),
    inference(forward_demodulation,[status(thm)],[f563,f617]) ).

fof(f8372,plain,
    ( e3 != op(e0,e0)
    | ~ spl0_40
    | spl0_75 ),
    inference(forward_demodulation,[status(thm)],[f492,f1301]) ).

fof(f8405,plain,
    ( e1 != op(e2,e2)
    | ~ spl0_33 ),
    inference(forward_demodulation,[status(thm)],[f469,f115]) ).

fof(f8476,plain,
    ( ~ spl0_40
    | ~ spl0_62
    | spl0_89 ),
    inference(split_clause,[status(thm)],[f5587,f491,f562,f701]) ).

fof(f8524,plain,
    ( op(e1,e1) = e3
    | ~ spl0_29
    | ~ spl0_104 ),
    inference(forward_demodulation,[status(thm)],[f456,f777]) ).

fof(f8645,plain,
    ( ~ spl0_60
    | ~ spl0_23
    | spl0_93 ),
    inference(split_clause,[status(thm)],[f7774,f556,f435,f717]) ).

fof(f8664,plain,
    ( e1 != op(e3,op(e2,e2))
    | ~ spl0_3
    | ~ spl0_40
    | spl0_74 ),
    inference(forward_demodulation,[status(thm)],[f371,f6452]) ).

fof(f8665,plain,
    ( e1 != op(e3,e0)
    | ~ spl0_3
    | ~ spl0_40
    | spl0_74 ),
    inference(forward_demodulation,[status(thm)],[f492,f8664]) ).

fof(f8729,plain,
    ( e2 != op(op(e3,op(e1,e1)),op(e1,e1))
    | ~ spl0_29
    | ~ spl0_104
    | spl0_70 ),
    inference(forward_demodulation,[status(thm)],[f8524,f635]) ).

fof(f8730,plain,
    ( e2 != op(op(e3,e3),op(e1,e1))
    | ~ spl0_29
    | ~ spl0_104
    | spl0_70 ),
    inference(forward_demodulation,[status(thm)],[f8524,f8729]) ).

fof(f8731,plain,
    ( e2 != op(e0,op(e1,e1))
    | ~ spl0_60
    | ~ spl0_29
    | ~ spl0_104
    | spl0_70 ),
    inference(forward_demodulation,[status(thm)],[f557,f8730]) ).

fof(f8732,plain,
    ( e2 != op(e0,e3)
    | ~ spl0_60
    | ~ spl0_29
    | ~ spl0_104
    | spl0_70 ),
    inference(forward_demodulation,[status(thm)],[f8524,f8731]) ).

fof(f8733,plain,
    ( e2 != e2
    | ~ spl0_14
    | ~ spl0_60
    | ~ spl0_29
    | ~ spl0_104
    | spl0_70 ),
    inference(forward_demodulation,[status(thm)],[f407,f8732]) ).

fof(f8734,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_60
    | ~ spl0_29
    | ~ spl0_104
    | spl0_70 ),
    inference(trivial_equality_resolution,[status(esa)],[f8733]) ).

fof(f8735,plain,
    ( ~ spl0_14
    | ~ spl0_60
    | ~ spl0_29
    | ~ spl0_104
    | spl0_70 ),
    inference(contradiction_clause,[status(thm)],[f8734]) ).

fof(f8761,plain,
    ( ~ spl0_11
    | ~ spl0_14
    | spl0_109 ),
    inference(split_clause,[status(thm)],[f1208,f396,f406,f805]) ).

fof(f8764,plain,
    ( ~ spl0_28
    | ~ spl0_44 ),
    inference(split_clause,[status(thm)],[f7875,f452,f504]) ).

fof(f8795,plain,
    ( ~ spl0_4
    | ~ spl0_0 ),
    inference(split_clause,[status(thm)],[f3309,f374,f361]) ).

fof(f8870,plain,
    ( op(e1,e0) != e3
    | ~ spl0_28
    | spl0_104 ),
    inference(forward_demodulation,[status(thm)],[f453,f778]) ).

fof(f8896,plain,
    ( op(e1,e0) != e3
    | ~ spl0_23 ),
    inference(backward_demodulation,[status(thm)],[f436,f108]) ).

fof(f8897,plain,
    ( ~ spl0_19
    | ~ spl0_23 ),
    inference(split_clause,[status(thm)],[f8896,f422,f435]) ).

fof(f8898,plain,
    ( ~ spl0_52
    | ~ spl0_49
    | spl0_65 ),
    inference(split_clause,[status(thm)],[f7251,f530,f520,f604]) ).

fof(f8910,plain,
    ( op(e1,e3) != e1
    | ~ spl0_45 ),
    inference(forward_demodulation,[status(thm)],[f508,f99]) ).

fof(f8915,plain,
    ( op(e2,e2) != e1
    | ~ spl0_45 ),
    inference(forward_demodulation,[status(thm)],[f508,f119]) ).

fof(f8921,plain,
    ( ~ spl0_63
    | ~ spl0_15 ),
    inference(split_clause,[status(thm)],[f5874,f565,f409]) ).

fof(f8963,plain,
    ( $false
    | ~ spl0_28
    | spl0_104
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[status(thm)],[f423,f8870]) ).

fof(f8964,plain,
    ( ~ spl0_28
    | spl0_104
    | ~ spl0_19 ),
    inference(contradiction_clause,[status(thm)],[f8963]) ).

fof(f8968,plain,
    ( op(e3,e3) = e2
    | ~ spl0_62
    | ~ spl0_68
    | ~ spl0_67 ),
    inference(backward_demodulation,[status(thm)],[f8192,f613]) ).

fof(f8974,plain,
    ( ~ spl0_41
    | ~ spl0_62
    | spl0_81 ),
    inference(split_clause,[status(thm)],[f5613,f494,f562,f671]) ).

fof(f9129,plain,
    ( ~ spl0_36
    | ~ spl0_22
    | ~ spl0_41
    | spl0_86 ),
    inference(split_clause,[status(thm)],[f1604,f478,f432,f494,f689]) ).

fof(f9177,plain,
    ( e0 = op(op(e2,op(e1,e1)),op(e1,e1))
    | ~ spl0_22
    | ~ spl0_92 ),
    inference(forward_demodulation,[status(thm)],[f433,f714]) ).

fof(f9178,plain,
    ( e0 = op(op(e2,e2),op(e1,e1))
    | ~ spl0_22
    | ~ spl0_92 ),
    inference(forward_demodulation,[status(thm)],[f433,f9177]) ).

fof(f9179,plain,
    ( e0 = op(op(e2,e2),e2)
    | ~ spl0_22
    | ~ spl0_92 ),
    inference(forward_demodulation,[status(thm)],[f433,f9178]) ).

fof(f9186,plain,
    ( e2 = op(e1,op(e0,e0))
    | ~ spl0_1
    | ~ spl0_85 ),
    inference(forward_demodulation,[status(thm)],[f365,f686]) ).

fof(f9187,plain,
    ( e2 = op(e1,e1)
    | ~ spl0_1
    | ~ spl0_85 ),
    inference(forward_demodulation,[status(thm)],[f365,f9186]) ).

fof(f9225,plain,
    ( op(e0,e0) != e3
    | ~ spl0_7 ),
    inference(backward_demodulation,[status(thm)],[f384,f102]) ).

fof(f9276,plain,
    ( e0 != op(op(e2,op(e3,e3)),op(e3,e3))
    | ~ spl0_62
    | ~ spl0_68
    | ~ spl0_67
    | spl0_88 ),
    inference(forward_demodulation,[status(thm)],[f8968,f699]) ).

fof(f9277,plain,
    ( e0 != op(op(e2,e2),op(e3,e3))
    | ~ spl0_62
    | ~ spl0_68
    | ~ spl0_67
    | spl0_88 ),
    inference(forward_demodulation,[status(thm)],[f8968,f9276]) ).

fof(f9278,plain,
    ( e0 != op(op(e2,e2),e2)
    | ~ spl0_62
    | ~ spl0_68
    | ~ spl0_67
    | spl0_88 ),
    inference(forward_demodulation,[status(thm)],[f8968,f9277]) ).

fof(f9279,plain,
    ( e0 != e0
    | ~ spl0_22
    | ~ spl0_92
    | ~ spl0_62
    | ~ spl0_68
    | ~ spl0_67
    | spl0_88 ),
    inference(forward_demodulation,[status(thm)],[f9179,f9278]) ).

fof(f9280,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_92
    | ~ spl0_62
    | ~ spl0_68
    | ~ spl0_67
    | spl0_88 ),
    inference(trivial_equality_resolution,[status(esa)],[f9279]) ).

fof(f9281,plain,
    ( ~ spl0_22
    | ~ spl0_92
    | ~ spl0_62
    | ~ spl0_68
    | ~ spl0_67
    | spl0_88 ),
    inference(contradiction_clause,[status(thm)],[f9280]) ).

fof(f9287,plain,
    ( op(e0,e0) = e3
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(forward_demodulation,[status(thm)],[f401,f806]) ).

fof(f9305,plain,
    ( op(e2,e0) != e1
    | ~ spl0_36
    | spl0_96 ),
    inference(forward_demodulation,[status(thm)],[f479,f738]) ).

fof(f9306,plain,
    ( ~ spl0_33
    | ~ spl0_36
    | spl0_96 ),
    inference(split_clause,[status(thm)],[f9305,f468,f478,f736]) ).

fof(f9317,plain,
    ( ~ spl0_41
    | ~ spl0_33 ),
    inference(split_clause,[status(thm)],[f8405,f494,f468]) ).

fof(f9338,plain,
    ( ~ spl0_21
    | ~ spl0_5 ),
    inference(split_clause,[status(thm)],[f3877,f429,f377]) ).

fof(f9422,plain,
    ( op(e1,e3) != e3
    | ~ spl0_31
    | spl0_104 ),
    inference(forward_demodulation,[status(thm)],[f462,f778]) ).

fof(f9423,plain,
    ( e3 != e3
    | ~ spl0_31
    | spl0_104 ),
    inference(forward_demodulation,[status(thm)],[f462,f9422]) ).

fof(f9424,plain,
    ( $false
    | ~ spl0_31
    | spl0_104 ),
    inference(trivial_equality_resolution,[status(esa)],[f9423]) ).

fof(f9425,plain,
    ( ~ spl0_31
    | spl0_104 ),
    inference(contradiction_clause,[status(thm)],[f9424]) ).

fof(f9441,plain,
    ( e3 != op(op(e0,e0),e1)
    | ~ spl0_1
    | spl0_83 ),
    inference(backward_demodulation,[status(thm)],[f365,f680]) ).

fof(f9443,plain,
    ( ~ spl0_41
    | ~ spl0_45 ),
    inference(split_clause,[status(thm)],[f8915,f494,f507]) ).

fof(f9445,plain,
    ( ~ spl0_29
    | ~ spl0_45 ),
    inference(split_clause,[status(thm)],[f8910,f455,f507]) ).

fof(f9475,plain,
    ( e1 = e0
    | ~ spl0_45
    | ~ spl0_44 ),
    inference(forward_demodulation,[status(thm)],[f508,f505]) ).

fof(f9476,plain,
    ( $false
    | ~ spl0_45
    | ~ spl0_44 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9475,f126]) ).

fof(f9477,plain,
    ( ~ spl0_45
    | ~ spl0_44 ),
    inference(contradiction_clause,[status(thm)],[f9476]) ).

fof(f9614,plain,
    ( e3 != op(e2,e1)
    | ~ spl0_85
    | ~ spl0_1
    | spl0_84 ),
    inference(forward_demodulation,[status(thm)],[f9187,f6594]) ).

fof(f9615,plain,
    ( e3 != e3
    | ~ spl0_39
    | ~ spl0_85
    | ~ spl0_1
    | spl0_84 ),
    inference(forward_demodulation,[status(thm)],[f488,f9614]) ).

fof(f9616,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_85
    | ~ spl0_1
    | spl0_84 ),
    inference(trivial_equality_resolution,[status(esa)],[f9615]) ).

fof(f9617,plain,
    ( ~ spl0_39
    | ~ spl0_85
    | ~ spl0_1
    | spl0_84 ),
    inference(contradiction_clause,[status(thm)],[f9616]) ).

fof(f9633,plain,
    ( ~ spl0_63
    | ~ spl0_31 ),
    inference(split_clause,[status(thm)],[f6788,f565,f461]) ).

fof(f9680,plain,
    ( ~ spl0_3
    | ~ spl0_7 ),
    inference(split_clause,[status(thm)],[f9225,f370,f383]) ).

fof(f9751,plain,
    ( e1 = e2
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f404,f407]) ).

fof(f9752,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9751,f129]) ).

fof(f9753,plain,
    ( ~ spl0_13
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f9752]) ).

fof(f9808,plain,
    ( e3 != op(e1,e1)
    | ~ spl0_1
    | spl0_83 ),
    inference(backward_demodulation,[status(thm)],[f365,f9441]) ).

fof(f9809,plain,
    ( ~ spl0_23
    | ~ spl0_1
    | spl0_83 ),
    inference(split_clause,[status(thm)],[f9808,f435,f364,f678]) ).

fof(f10067,plain,
    ( spl0_3
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(split_clause,[status(thm)],[f9287,f370,f400,f805]) ).

fof(f10070,plain,
    ( ~ spl0_7
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(split_clause,[status(thm)],[f2200,f383,f400,f805]) ).

fof(f10079,plain,
    ( e3 != op(e1,e0)
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(forward_demodulation,[status(thm)],[f9287,f78]) ).

fof(f10080,plain,
    ( ~ spl0_19
    | ~ spl0_12
    | ~ spl0_109 ),
    inference(split_clause,[status(thm)],[f10079,f422,f400,f805]) ).

fof(f10113,plain,
    ( op(e0,e3) = e1
    | ~ spl0_7
    | ~ spl0_107 ),
    inference(forward_demodulation,[status(thm)],[f384,f798]) ).

fof(f10114,plain,
    ( e0 = e1
    | ~ spl0_12
    | ~ spl0_7
    | ~ spl0_107 ),
    inference(forward_demodulation,[status(thm)],[f401,f10113]) ).

fof(f10115,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_7
    | ~ spl0_107 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10114,f126]) ).

fof(f10116,plain,
    ( ~ spl0_12
    | ~ spl0_7
    | ~ spl0_107 ),
    inference(contradiction_clause,[status(thm)],[f10115]) ).

fof(f10151,plain,
    ( e3 != op(e2,e1)
    | ~ spl0_7 ),
    inference(backward_demodulation,[status(thm)],[f384,f85]) ).

fof(f10152,plain,
    ( ~ spl0_39
    | ~ spl0_7 ),
    inference(split_clause,[status(thm)],[f10151,f487,f383]) ).

fof(f10162,plain,
    ( ~ spl0_45
    | ~ spl0_39
    | spl0_96 ),
    inference(split_clause,[status(thm)],[f7731,f507,f487,f736]) ).

fof(f10165,plain,
    ( ~ spl0_27
    | ~ spl0_19 ),
    inference(split_clause,[status(thm)],[f2646,f448,f422]) ).

fof(f10362,plain,
    ( ~ spl0_49
    | ~ spl0_3
    | ~ spl0_40
    | spl0_74 ),
    inference(split_clause,[status(thm)],[f8665,f520,f370,f491,f647]) ).

fof(f10548,plain,
    ( e3 != op(e1,e0)
    | ~ spl0_1
    | ~ spl0_40
    | spl0_76 ),
    inference(forward_demodulation,[status(thm)],[f492,f6450]) ).

fof(f10549,plain,
    ( ~ spl0_19
    | ~ spl0_1
    | ~ spl0_40
    | spl0_76 ),
    inference(split_clause,[status(thm)],[f10548,f422,f364,f491,f654]) ).

fof(f10689,plain,
    ( ~ spl0_56
    | ~ spl0_43
    | ~ spl0_22
    | spl0_92 ),
    inference(split_clause,[status(thm)],[f5627,f543,f500,f432,f713]) ).

fof(f10831,plain,
    ( e2 != op(e3,e1)
    | ~ spl0_23
    | ~ spl0_1
    | spl0_82 ),
    inference(forward_demodulation,[status(thm)],[f436,f3672]) ).

fof(f10832,plain,
    ( e2 != e2
    | ~ spl0_54
    | ~ spl0_23
    | ~ spl0_1
    | spl0_82 ),
    inference(forward_demodulation,[status(thm)],[f537,f10831]) ).

fof(f10833,plain,
    ( $false
    | ~ spl0_54
    | ~ spl0_23
    | ~ spl0_1
    | spl0_82 ),
    inference(trivial_equality_resolution,[status(esa)],[f10832]) ).

fof(f10834,plain,
    ( ~ spl0_54
    | ~ spl0_23
    | ~ spl0_1
    | spl0_82 ),
    inference(contradiction_clause,[status(thm)],[f10833]) ).

fof(f10926,plain,
    ( ~ spl0_3
    | ~ spl0_40
    | spl0_75 ),
    inference(split_clause,[status(thm)],[f8372,f370,f491,f650]) ).

fof(f11018,plain,
    ( e3 != op(e0,op(e2,e2))
    | ~ spl0_34
    | ~ spl0_95
    | spl0_75 ),
    inference(forward_demodulation,[status(thm)],[f3210,f652]) ).

fof(f11019,plain,
    ( e3 != op(e0,e0)
    | ~ spl0_34
    | ~ spl0_95
    | spl0_75 ),
    inference(forward_demodulation,[status(thm)],[f3210,f11018]) ).

fof(f11020,plain,
    ( e3 != e3
    | ~ spl0_3
    | ~ spl0_34
    | ~ spl0_95
    | spl0_75 ),
    inference(forward_demodulation,[status(thm)],[f371,f11019]) ).

fof(f11021,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_34
    | ~ spl0_95
    | spl0_75 ),
    inference(trivial_equality_resolution,[status(esa)],[f11020]) ).

fof(f11022,plain,
    ( ~ spl0_3
    | ~ spl0_34
    | ~ spl0_95
    | spl0_75 ),
    inference(contradiction_clause,[status(thm)],[f11021]) ).

fof(f11023,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f373,f386,f399,f412,f425,f438,f451,f464,f477,f490,f503,f516,f529,f542,f555,f568,f569,f570,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f607,f611,f615,f619,f620,f621,f622,f627,f629,f630,f631,f632,f639,f646,f653,f660,f667,f674,f681,f688,f692,f696,f700,f704,f708,f712,f716,f720,f721,f722,f723,f724,f725,f726,f727,f728,f735,f739,f743,f748,f749,f751,f755,f756,f757,f758,f759,f767,f771,f775,f779,f780,f782,f783,f787,f788,f789,f790,f791,f796,f800,f804,f808,f810,f811,f812,f816,f817,f818,f819,f820,f821,f825,f826,f827,f828,f830,f834,f838,f843,f844,f845,f846,f848,f852,f853,f854,f855,f857,f861,f862,f863,f865,f866,f870,f871,f872,f874,f875,f879,f881,f882,f884,f888,f889,f890,f892,f893,f897,f898,f899,f900,f901,f902,f906,f907,f909,f910,f911,f915,f916,f917,f918,f919,f920,f921,f923,f924,f925,f926,f929,f932,f935,f938,f941,f944,f947,f950,f960,f966,f981,f985,f995,f1019,f1022,f1025,f1028,f1031,f1042,f1046,f1050,f1060,f1062,f1070,f1071,f1073,f1078,f1083,f1084,f1085,f1086,f1087,f1088,f1090,f1095,f1100,f1102,f1107,f1115,f1118,f1124,f1128,f1130,f1134,f1137,f1151,f1155,f1157,f1159,f1161,f1164,f1171,f1172,f1185,f1191,f1193,f1196,f1199,f1213,f1222,f1226,f1242,f1247,f1248,f1259,f1260,f1264,f1268,f1269,f1271,f1325,f1345,f1355,f1356,f1358,f1359,f1377,f1381,f1397,f1403,f1418,f1424,f1447,f1449,f1451,f1473,f1479,f1481,f1493,f1494,f1527,f1532,f1534,f1544,f1551,f1570,f1588,f1600,f1629,f1660,f1673,f1685,f1698,f1718,f1722,f1728,f1729,f1739,f1745,f1758,f1764,f1765,f1766,f1768,f1772,f1806,f1826,f1833,f1852,f1874,f1902,f1912,f1936,f1947,f1950,f1954,f1964,f1970,f2000,f2008,f2026,f2035,f2040,f2057,f2061,f2084,f2095,f2108,f2113,f2123,f2125,f2141,f2179,f2235,f2241,f2242,f2243,f2246,f2258,f2263,f2266,f2281,f2282,f2293,f2294,f2296,f2321,f2338,f2339,f2358,f2360,f2395,f2399,f2402,f2409,f2415,f2424,f2453,f2469,f2515,f2547,f2551,f2648,f2660,f2665,f2669,f2684,f2690,f2695,f2698,f2735,f2743,f2788,f2835,f2873,f2886,f2892,f2916,f2920,f2928,f2932,f2949,f2961,f2972,f2980,f2988,f3072,f3074,f3083,f3118,f3119,f3121,f3123,f3193,f3200,f3206,f3237,f3306,f3331,f3333,f3334,f3338,f3379,f3390,f3712,f3729,f3734,f3791,f3795,f3811,f3817,f3818,f3837,f3844,f3875,f3926,f4032,f4069,f4189,f4348,f4382,f4392,f4393,f4395,f4555,f4571,f4616,f4624,f4661,f4662,f4663,f4835,f4908,f4914,f4970,f4981,f5088,f5185,f5372,f5524,f5644,f5880,f5948,f5949,f6013,f6042,f6055,f6117,f6298,f6310,f6340,f6378,f6382,f6405,f6406,f6413,f6416,f6422,f6576,f6605,f6620,f6626,f6637,f6661,f6714,f6772,f6937,f6985,f7053,f7223,f7236,f7262,f7357,f7481,f7684,f7761,f7824,f8037,f8172,f8476,f8645,f8735,f8761,f8764,f8795,f8897,f8898,f8921,f8964,f8974,f9129,f9281,f9306,f9317,f9338,f9425,f9443,f9445,f9477,f9617,f9633,f9680,f9753,f9809,f10067,f10070,f10080,f10116,f10152,f10162,f10165,f10362,f10549,f10689,f10834,f10926,f11022]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : ALG151+1 : TPTP v8.1.2. Released v2.7.0.
% 0.13/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n006.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Apr 29 23:24:35 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.36  % Drodi V3.6.0
% 5.65/1.13  % Refutation found
% 5.65/1.13  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.65/1.13  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.65/1.14  % Elapsed time: 0.789887 seconds
% 5.65/1.14  % CPU time: 6.126103 seconds
% 5.65/1.14  % Total memory used: 56.978 MB
% 5.65/1.14  % Net memory used: 54.506 MB
%------------------------------------------------------------------------------