%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : ALG109+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n011.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 20:09:52 EDT 2024

% Result   : Theorem 31.42s 4.43s
% Output   : CNFRefutation 32.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :  508
% Syntax   : Number of formulae    : 2993 ( 221 unt;   0 def)
%            Number of atoms       : 20004 (14042 equ)
%            Maximal formula atoms :  304 (   6 avg)
%            Number of connectives : 29646 (12635   ~;9628   |;6892   &)
%                                         ( 389 <=>; 102  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  493 ( 491 usr; 492 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ( ( op1(e10,e10) = e10
      | op1(e10,e10) = e11
      | op1(e10,e10) = e12
      | op1(e10,e10) = e13 )
    & ( op1(e10,e11) = e10
      | op1(e10,e11) = e11
      | op1(e10,e11) = e12
      | op1(e10,e11) = e13 )
    & ( op1(e10,e12) = e10
      | op1(e10,e12) = e11
      | op1(e10,e12) = e12
      | op1(e10,e12) = e13 )
    & ( op1(e10,e13) = e10
      | op1(e10,e13) = e11
      | op1(e10,e13) = e12
      | op1(e10,e13) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e10) = e11
      | op1(e11,e10) = e12
      | op1(e11,e10) = e13 )
    & ( op1(e11,e11) = e10
      | op1(e11,e11) = e11
      | op1(e11,e11) = e12
      | op1(e11,e11) = e13 )
    & ( op1(e11,e12) = e10
      | op1(e11,e12) = e11
      | op1(e11,e12) = e12
      | op1(e11,e12) = e13 )
    & ( op1(e11,e13) = e10
      | op1(e11,e13) = e11
      | op1(e11,e13) = e12
      | op1(e11,e13) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e10) = e11
      | op1(e12,e10) = e12
      | op1(e12,e10) = e13 )
    & ( op1(e12,e11) = e10
      | op1(e12,e11) = e11
      | op1(e12,e11) = e12
      | op1(e12,e11) = e13 )
    & ( op1(e12,e12) = e10
      | op1(e12,e12) = e11
      | op1(e12,e12) = e12
      | op1(e12,e12) = e13 )
    & ( op1(e12,e13) = e10
      | op1(e12,e13) = e11
      | op1(e12,e13) = e12
      | op1(e12,e13) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e10) = e11
      | op1(e13,e10) = e12
      | op1(e13,e10) = e13 )
    & ( op1(e13,e11) = e10
      | op1(e13,e11) = e11
      | op1(e13,e11) = e12
      | op1(e13,e11) = e13 )
    & ( op1(e13,e12) = e10
      | op1(e13,e12) = e11
      | op1(e13,e12) = e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) = e10
      | op1(e13,e13) = e11
      | op1(e13,e13) = e12
      | op1(e13,e13) = e13 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ( ( op1(e10,e10) = e10
      | op1(e10,e11) = e10
      | op1(e10,e12) = e10
      | op1(e10,e13) = e10 )
    & ( op1(e10,e10) = e10
      | op1(e11,e10) = e10
      | op1(e12,e10) = e10
      | op1(e13,e10) = e10 )
    & ( op1(e10,e10) = e11
      | op1(e10,e11) = e11
      | op1(e10,e12) = e11
      | op1(e10,e13) = e11 )
    & ( op1(e10,e10) = e11
      | op1(e11,e10) = e11
      | op1(e12,e10) = e11
      | op1(e13,e10) = e11 )
    & ( op1(e10,e10) = e12
      | op1(e10,e11) = e12
      | op1(e10,e12) = e12
      | op1(e10,e13) = e12 )
    & ( op1(e10,e10) = e12
      | op1(e11,e10) = e12
      | op1(e12,e10) = e12
      | op1(e13,e10) = e12 )
    & ( op1(e10,e10) = e13
      | op1(e10,e11) = e13
      | op1(e10,e12) = e13
      | op1(e10,e13) = e13 )
    & ( op1(e10,e10) = e13
      | op1(e11,e10) = e13
      | op1(e12,e10) = e13
      | op1(e13,e10) = e13 )
    & ( op1(e11,e10) = e10
      | op1(e11,e11) = e10
      | op1(e11,e12) = e10
      | op1(e11,e13) = e10 )
    & ( op1(e10,e11) = e10
      | op1(e11,e11) = e10
      | op1(e12,e11) = e10
      | op1(e13,e11) = e10 )
    & ( op1(e11,e10) = e11
      | op1(e11,e11) = e11
      | op1(e11,e12) = e11
      | op1(e11,e13) = e11 )
    & ( op1(e10,e11) = e11
      | op1(e11,e11) = e11
      | op1(e12,e11) = e11
      | op1(e13,e11) = e11 )
    & ( op1(e11,e10) = e12
      | op1(e11,e11) = e12
      | op1(e11,e12) = e12
      | op1(e11,e13) = e12 )
    & ( op1(e10,e11) = e12
      | op1(e11,e11) = e12
      | op1(e12,e11) = e12
      | op1(e13,e11) = e12 )
    & ( op1(e11,e10) = e13
      | op1(e11,e11) = e13
      | op1(e11,e12) = e13
      | op1(e11,e13) = e13 )
    & ( op1(e10,e11) = e13
      | op1(e11,e11) = e13
      | op1(e12,e11) = e13
      | op1(e13,e11) = e13 )
    & ( op1(e12,e10) = e10
      | op1(e12,e11) = e10
      | op1(e12,e12) = e10
      | op1(e12,e13) = e10 )
    & ( op1(e10,e12) = e10
      | op1(e11,e12) = e10
      | op1(e12,e12) = e10
      | op1(e13,e12) = e10 )
    & ( op1(e12,e10) = e11
      | op1(e12,e11) = e11
      | op1(e12,e12) = e11
      | op1(e12,e13) = e11 )
    & ( op1(e10,e12) = e11
      | op1(e11,e12) = e11
      | op1(e12,e12) = e11
      | op1(e13,e12) = e11 )
    & ( op1(e12,e10) = e12
      | op1(e12,e11) = e12
      | op1(e12,e12) = e12
      | op1(e12,e13) = e12 )
    & ( op1(e10,e12) = e12
      | op1(e11,e12) = e12
      | op1(e12,e12) = e12
      | op1(e13,e12) = e12 )
    & ( op1(e12,e10) = e13
      | op1(e12,e11) = e13
      | op1(e12,e12) = e13
      | op1(e12,e13) = e13 )
    & ( op1(e10,e12) = e13
      | op1(e11,e12) = e13
      | op1(e12,e12) = e13
      | op1(e13,e12) = e13 )
    & ( op1(e13,e10) = e10
      | op1(e13,e11) = e10
      | op1(e13,e12) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e10,e13) = e10
      | op1(e11,e13) = e10
      | op1(e12,e13) = e10
      | op1(e13,e13) = e10 )
    & ( op1(e13,e10) = e11
      | op1(e13,e11) = e11
      | op1(e13,e12) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e10,e13) = e11
      | op1(e11,e13) = e11
      | op1(e12,e13) = e11
      | op1(e13,e13) = e11 )
    & ( op1(e13,e10) = e12
      | op1(e13,e11) = e12
      | op1(e13,e12) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e10,e13) = e12
      | op1(e11,e13) = e12
      | op1(e12,e13) = e12
      | op1(e13,e13) = e12 )
    & ( op1(e13,e10) = e13
      | op1(e13,e11) = e13
      | op1(e13,e12) = e13
      | op1(e13,e13) = e13 )
    & ( op1(e10,e13) = e13
      | op1(e11,e13) = e13
      | op1(e12,e13) = e13
      | op1(e13,e13) = e13 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ( ( op2(e20,e20) = e20
      | op2(e20,e20) = e21
      | op2(e20,e20) = e22
      | op2(e20,e20) = e23 )
    & ( op2(e20,e21) = e20
      | op2(e20,e21) = e21
      | op2(e20,e21) = e22
      | op2(e20,e21) = e23 )
    & ( op2(e20,e22) = e20
      | op2(e20,e22) = e21
      | op2(e20,e22) = e22
      | op2(e20,e22) = e23 )
    & ( op2(e20,e23) = e20
      | op2(e20,e23) = e21
      | op2(e20,e23) = e22
      | op2(e20,e23) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e20) = e21
      | op2(e21,e20) = e22
      | op2(e21,e20) = e23 )
    & ( op2(e21,e21) = e20
      | op2(e21,e21) = e21
      | op2(e21,e21) = e22
      | op2(e21,e21) = e23 )
    & ( op2(e21,e22) = e20
      | op2(e21,e22) = e21
      | op2(e21,e22) = e22
      | op2(e21,e22) = e23 )
    & ( op2(e21,e23) = e20
      | op2(e21,e23) = e21
      | op2(e21,e23) = e22
      | op2(e21,e23) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e20) = e21
      | op2(e22,e20) = e22
      | op2(e22,e20) = e23 )
    & ( op2(e22,e21) = e20
      | op2(e22,e21) = e21
      | op2(e22,e21) = e22
      | op2(e22,e21) = e23 )
    & ( op2(e22,e22) = e20
      | op2(e22,e22) = e21
      | op2(e22,e22) = e22
      | op2(e22,e22) = e23 )
    & ( op2(e22,e23) = e20
      | op2(e22,e23) = e21
      | op2(e22,e23) = e22
      | op2(e22,e23) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e20) = e21
      | op2(e23,e20) = e22
      | op2(e23,e20) = e23 )
    & ( op2(e23,e21) = e20
      | op2(e23,e21) = e21
      | op2(e23,e21) = e22
      | op2(e23,e21) = e23 )
    & ( op2(e23,e22) = e20
      | op2(e23,e22) = e21
      | op2(e23,e22) = e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) = e20
      | op2(e23,e23) = e21
      | op2(e23,e23) = e22
      | op2(e23,e23) = e23 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ( ( op2(e20,e20) = e20
      | op2(e20,e21) = e20
      | op2(e20,e22) = e20
      | op2(e20,e23) = e20 )
    & ( op2(e20,e20) = e20
      | op2(e21,e20) = e20
      | op2(e22,e20) = e20
      | op2(e23,e20) = e20 )
    & ( op2(e20,e20) = e21
      | op2(e20,e21) = e21
      | op2(e20,e22) = e21
      | op2(e20,e23) = e21 )
    & ( op2(e20,e20) = e21
      | op2(e21,e20) = e21
      | op2(e22,e20) = e21
      | op2(e23,e20) = e21 )
    & ( op2(e20,e20) = e22
      | op2(e20,e21) = e22
      | op2(e20,e22) = e22
      | op2(e20,e23) = e22 )
    & ( op2(e20,e20) = e22
      | op2(e21,e20) = e22
      | op2(e22,e20) = e22
      | op2(e23,e20) = e22 )
    & ( op2(e20,e20) = e23
      | op2(e20,e21) = e23
      | op2(e20,e22) = e23
      | op2(e20,e23) = e23 )
    & ( op2(e20,e20) = e23
      | op2(e21,e20) = e23
      | op2(e22,e20) = e23
      | op2(e23,e20) = e23 )
    & ( op2(e21,e20) = e20
      | op2(e21,e21) = e20
      | op2(e21,e22) = e20
      | op2(e21,e23) = e20 )
    & ( op2(e20,e21) = e20
      | op2(e21,e21) = e20
      | op2(e22,e21) = e20
      | op2(e23,e21) = e20 )
    & ( op2(e21,e20) = e21
      | op2(e21,e21) = e21
      | op2(e21,e22) = e21
      | op2(e21,e23) = e21 )
    & ( op2(e20,e21) = e21
      | op2(e21,e21) = e21
      | op2(e22,e21) = e21
      | op2(e23,e21) = e21 )
    & ( op2(e21,e20) = e22
      | op2(e21,e21) = e22
      | op2(e21,e22) = e22
      | op2(e21,e23) = e22 )
    & ( op2(e20,e21) = e22
      | op2(e21,e21) = e22
      | op2(e22,e21) = e22
      | op2(e23,e21) = e22 )
    & ( op2(e21,e20) = e23
      | op2(e21,e21) = e23
      | op2(e21,e22) = e23
      | op2(e21,e23) = e23 )
    & ( op2(e20,e21) = e23
      | op2(e21,e21) = e23
      | op2(e22,e21) = e23
      | op2(e23,e21) = e23 )
    & ( op2(e22,e20) = e20
      | op2(e22,e21) = e20
      | op2(e22,e22) = e20
      | op2(e22,e23) = e20 )
    & ( op2(e20,e22) = e20
      | op2(e21,e22) = e20
      | op2(e22,e22) = e20
      | op2(e23,e22) = e20 )
    & ( op2(e22,e20) = e21
      | op2(e22,e21) = e21
      | op2(e22,e22) = e21
      | op2(e22,e23) = e21 )
    & ( op2(e20,e22) = e21
      | op2(e21,e22) = e21
      | op2(e22,e22) = e21
      | op2(e23,e22) = e21 )
    & ( op2(e22,e20) = e22
      | op2(e22,e21) = e22
      | op2(e22,e22) = e22
      | op2(e22,e23) = e22 )
    & ( op2(e20,e22) = e22
      | op2(e21,e22) = e22
      | op2(e22,e22) = e22
      | op2(e23,e22) = e22 )
    & ( op2(e22,e20) = e23
      | op2(e22,e21) = e23
      | op2(e22,e22) = e23
      | op2(e22,e23) = e23 )
    & ( op2(e20,e22) = e23
      | op2(e21,e22) = e23
      | op2(e22,e22) = e23
      | op2(e23,e22) = e23 )
    & ( op2(e23,e20) = e20
      | op2(e23,e21) = e20
      | op2(e23,e22) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e20,e23) = e20
      | op2(e21,e23) = e20
      | op2(e22,e23) = e20
      | op2(e23,e23) = e20 )
    & ( op2(e23,e20) = e21
      | op2(e23,e21) = e21
      | op2(e23,e22) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e20,e23) = e21
      | op2(e21,e23) = e21
      | op2(e22,e23) = e21
      | op2(e23,e23) = e21 )
    & ( op2(e23,e20) = e22
      | op2(e23,e21) = e22
      | op2(e23,e22) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e20,e23) = e22
      | op2(e21,e23) = e22
      | op2(e22,e23) = e22
      | op2(e23,e23) = e22 )
    & ( op2(e23,e20) = e23
      | op2(e23,e21) = e23
      | op2(e23,e22) = e23
      | op2(e23,e23) = e23 )
    & ( op2(e20,e23) = e23
      | op2(e21,e23) = e23
      | op2(e22,e23) = e23
      | op2(e23,e23) = e23 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ( op1(e10,e10) != op1(e11,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e10,e10) != op1(e10,e11)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e12) != op1(e13,e13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ( op2(e20,e20) != op2(e21,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e20,e20) != op2(e20,e21)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e22) != op2(e23,e23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

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

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

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

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

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

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

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

fof(f17,axiom,
    ( h4(e10) = e23
    & h4(e11) = op2(e23,e23)
    & h4(e12) = op2(op2(e23,op2(e23,e23)),e23)
    & h4(e13) = op2(e23,op2(e23,e23)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,conjecture,
    ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
      & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
      & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
      & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
      & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
      & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
      & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
      & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
      & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
      & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
      & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
      & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
      & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
      & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
      & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
      & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
      & ( h1(e10) = e20
        | h1(e11) = e20
        | h1(e12) = e20
        | h1(e13) = e20 )
      & ( h1(e10) = e21
        | h1(e11) = e21
        | h1(e12) = e21
        | h1(e13) = e21 )
      & ( h1(e10) = e22
        | h1(e11) = e22
        | h1(e12) = e22
        | h1(e13) = e22 )
      & ( h1(e10) = e23
        | h1(e11) = e23
        | h1(e12) = e23
        | h1(e13) = e23 ) )
    | ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
      & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
      & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
      & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
      & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
      & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
      & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
      & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
      & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
      & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
      & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
      & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
      & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
      & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
      & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
      & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
      & ( h2(e10) = e20
        | h2(e11) = e20
        | h2(e12) = e20
        | h2(e13) = e20 )
      & ( h2(e10) = e21
        | h2(e11) = e21
        | h2(e12) = e21
        | h2(e13) = e21 )
      & ( h2(e10) = e22
        | h2(e11) = e22
        | h2(e12) = e22
        | h2(e13) = e22 )
      & ( h2(e10) = e23
        | h2(e11) = e23
        | h2(e12) = e23
        | h2(e13) = e23 ) )
    | ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
      & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
      & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
      & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
      & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
      & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
      & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
      & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
      & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
      & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
      & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
      & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
      & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
      & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
      & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
      & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
      & ( h3(e10) = e20
        | h3(e11) = e20
        | h3(e12) = e20
        | h3(e13) = e20 )
      & ( h3(e10) = e21
        | h3(e11) = e21
        | h3(e12) = e21
        | h3(e13) = e21 )
      & ( h3(e10) = e22
        | h3(e11) = e22
        | h3(e12) = e22
        | h3(e13) = e22 )
      & ( h3(e10) = e23
        | h3(e11) = e23
        | h3(e12) = e23
        | h3(e13) = e23 ) )
    | ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
      & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
      & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
      & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
      & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
      & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
      & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
      & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
      & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
      & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
      & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
      & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
      & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
      & ( h4(e10) = e20
        | h4(e11) = e20
        | h4(e12) = e20
        | h4(e13) = e20 )
      & ( h4(e10) = e21
        | h4(e11) = e21
        | h4(e12) = e21
        | h4(e13) = e21 )
      & ( h4(e10) = e22
        | h4(e11) = e22
        | h4(e12) = e22
        | h4(e13) = e22 )
      & ( h4(e10) = e23
        | h4(e11) = e23
        | h4(e12) = e23
        | h4(e13) = e23 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,negated_conjecture,
    ~ ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
        & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
        & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
        & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
        & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
        & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
        & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
        & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
        & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
        & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
        & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
        & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
        & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
        & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
        & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
        & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
        & ( h1(e10) = e20
          | h1(e11) = e20
          | h1(e12) = e20
          | h1(e13) = e20 )
        & ( h1(e10) = e21
          | h1(e11) = e21
          | h1(e12) = e21
          | h1(e13) = e21 )
        & ( h1(e10) = e22
          | h1(e11) = e22
          | h1(e12) = e22
          | h1(e13) = e22 )
        & ( h1(e10) = e23
          | h1(e11) = e23
          | h1(e12) = e23
          | h1(e13) = e23 ) )
      | ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
        & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
        & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
        & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
        & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
        & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
        & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
        & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
        & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
        & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
        & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
        & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
        & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
        & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
        & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
        & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
        & ( h2(e10) = e20
          | h2(e11) = e20
          | h2(e12) = e20
          | h2(e13) = e20 )
        & ( h2(e10) = e21
          | h2(e11) = e21
          | h2(e12) = e21
          | h2(e13) = e21 )
        & ( h2(e10) = e22
          | h2(e11) = e22
          | h2(e12) = e22
          | h2(e13) = e22 )
        & ( h2(e10) = e23
          | h2(e11) = e23
          | h2(e12) = e23
          | h2(e13) = e23 ) )
      | ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
        & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
        & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
        & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
        & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
        & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
        & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
        & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
        & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
        & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
        & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
        & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
        & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
        & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
        & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
        & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
        & ( h3(e10) = e20
          | h3(e11) = e20
          | h3(e12) = e20
          | h3(e13) = e20 )
        & ( h3(e10) = e21
          | h3(e11) = e21
          | h3(e12) = e21
          | h3(e13) = e21 )
        & ( h3(e10) = e22
          | h3(e11) = e22
          | h3(e12) = e22
          | h3(e13) = e22 )
        & ( h3(e10) = e23
          | h3(e11) = e23
          | h3(e12) = e23
          | h3(e13) = e23 ) )
      | ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
        & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
        & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
        & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
        & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
        & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
        & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
        & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
        & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
        & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
        & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
        & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
        & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
        & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
        & ( h4(e10) = e20
          | h4(e11) = e20
          | h4(e12) = e20
          | h4(e13) = e20 )
        & ( h4(e10) = e21
          | h4(e11) = e21
          | h4(e12) = e21
          | h4(e13) = e21 )
        & ( h4(e10) = e22
          | h4(e11) = e22
          | h4(e12) = e22
          | h4(e13) = e22 )
        & ( h4(e10) = e23
          | h4(e11) = e23
          | h4(e12) = e23
          | h4(e13) = e23 ) ) ),
    inference(negated_conjecture,[status(cth)],[f18]) ).

fof(f20,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e10) = e11
    | op1(e10,e10) = e12
    | op1(e10,e10) = e13 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f21,plain,
    ( op1(e10,e11) = e10
    | op1(e10,e11) = e11
    | op1(e10,e11) = e12
    | op1(e10,e11) = e13 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f24,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e10) = e11
    | op1(e11,e10) = e12
    | op1(e11,e10) = e13 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f26,plain,
    ( op1(e11,e12) = e10
    | op1(e11,e12) = e11
    | op1(e11,e12) = e12
    | op1(e11,e12) = e13 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f27,plain,
    ( op1(e11,e13) = e10
    | op1(e11,e13) = e11
    | op1(e11,e13) = e12
    | op1(e11,e13) = e13 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f28,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e10) = e11
    | op1(e12,e10) = e12
    | op1(e12,e10) = e13 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f29,plain,
    ( op1(e12,e11) = e10
    | op1(e12,e11) = e11
    | op1(e12,e11) = e12
    | op1(e12,e11) = e13 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f30,plain,
    ( op1(e12,e12) = e10
    | op1(e12,e12) = e11
    | op1(e12,e12) = e12
    | op1(e12,e12) = e13 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f31,plain,
    ( op1(e12,e13) = e10
    | op1(e12,e13) = e11
    | op1(e12,e13) = e12
    | op1(e12,e13) = e13 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f33,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f35,plain,
    ( op1(e13,e13) = e10
    | op1(e13,e13) = e11
    | op1(e13,e13) = e12
    | op1(e13,e13) = e13 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f36,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e11) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f37,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e10) = e10
    | op1(e12,e10) = e10
    | op1(e13,e10) = e10 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f40,plain,
    ( op1(e10,e10) = e12
    | op1(e10,e11) = e12
    | op1(e10,e12) = e12
    | op1(e10,e13) = e12 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f43,plain,
    ( op1(e10,e10) = e13
    | op1(e11,e10) = e13
    | op1(e12,e10) = e13
    | op1(e13,e10) = e13 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f44,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e11) = e10
    | op1(e11,e12) = e10
    | op1(e11,e13) = e10 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f45,plain,
    ( op1(e10,e11) = e10
    | op1(e11,e11) = e10
    | op1(e12,e11) = e10
    | op1(e13,e11) = e10 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f46,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e11) = e11
    | op1(e11,e12) = e11
    | op1(e11,e13) = e11 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f48,plain,
    ( op1(e11,e10) = e12
    | op1(e11,e11) = e12
    | op1(e11,e12) = e12
    | op1(e11,e13) = e12 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f49,plain,
    ( op1(e10,e11) = e12
    | op1(e11,e11) = e12
    | op1(e12,e11) = e12
    | op1(e13,e11) = e12 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f52,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e11) = e10
    | op1(e12,e12) = e10
    | op1(e12,e13) = e10 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f54,plain,
    ( op1(e12,e10) = e11
    | op1(e12,e11) = e11
    | op1(e12,e12) = e11
    | op1(e12,e13) = e11 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f55,plain,
    ( op1(e10,e12) = e11
    | op1(e11,e12) = e11
    | op1(e12,e12) = e11
    | op1(e13,e12) = e11 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f56,plain,
    ( op1(e12,e10) = e12
    | op1(e12,e11) = e12
    | op1(e12,e12) = e12
    | op1(e12,e13) = e12 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f59,plain,
    ( op1(e10,e12) = e13
    | op1(e11,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f60,plain,
    ( op1(e13,e10) = e10
    | op1(e13,e11) = e10
    | op1(e13,e12) = e10
    | op1(e13,e13) = e10 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f61,plain,
    ( op1(e10,e13) = e10
    | op1(e11,e13) = e10
    | op1(e12,e13) = e10
    | op1(e13,e13) = e10 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f62,plain,
    ( op1(e13,e10) = e11
    | op1(e13,e11) = e11
    | op1(e13,e12) = e11
    | op1(e13,e13) = e11 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f63,plain,
    ( op1(e10,e13) = e11
    | op1(e11,e13) = e11
    | op1(e12,e13) = e11
    | op1(e13,e13) = e11 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f65,plain,
    ( op1(e10,e13) = e12
    | op1(e11,e13) = e12
    | op1(e12,e13) = e12
    | op1(e13,e13) = e12 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f66,plain,
    ( op1(e13,e10) = e13
    | op1(e13,e11) = e13
    | op1(e13,e12) = e13
    | op1(e13,e13) = e13 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f67,plain,
    ( op1(e10,e13) = e13
    | op1(e11,e13) = e13
    | op1(e12,e13) = e13
    | op1(e13,e13) = e13 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f70,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e22) = e21
    | op2(e20,e22) = e22
    | op2(e20,e22) = e23 ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f71,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f72,plain,
    ( op2(e21,e20) = e20
    | op2(e21,e20) = e21
    | op2(e21,e20) = e22
    | op2(e21,e20) = e23 ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f73,plain,
    ( op2(e21,e21) = e20
    | op2(e21,e21) = e21
    | op2(e21,e21) = e22
    | op2(e21,e21) = e23 ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f74,plain,
    ( op2(e21,e22) = e20
    | op2(e21,e22) = e21
    | op2(e21,e22) = e22
    | op2(e21,e22) = e23 ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f75,plain,
    ( op2(e21,e23) = e20
    | op2(e21,e23) = e21
    | op2(e21,e23) = e22
    | op2(e21,e23) = e23 ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f77,plain,
    ( op2(e22,e21) = e20
    | op2(e22,e21) = e21
    | op2(e22,e21) = e22
    | op2(e22,e21) = e23 ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f78,plain,
    ( op2(e22,e22) = e20
    | op2(e22,e22) = e21
    | op2(e22,e22) = e22
    | op2(e22,e22) = e23 ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f79,plain,
    ( op2(e22,e23) = e20
    | op2(e22,e23) = e21
    | op2(e22,e23) = e22
    | op2(e22,e23) = e23 ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f80,plain,
    ( op2(e23,e20) = e20
    | op2(e23,e20) = e21
    | op2(e23,e20) = e22
    | op2(e23,e20) = e23 ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f81,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f82,plain,
    ( op2(e23,e22) = e20
    | op2(e23,e22) = e21
    | op2(e23,e22) = e22
    | op2(e23,e22) = e23 ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f83,plain,
    ( op2(e23,e23) = e20
    | op2(e23,e23) = e21
    | op2(e23,e23) = e22
    | op2(e23,e23) = e23 ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f84,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e21) = e20
    | op2(e20,e22) = e20
    | op2(e20,e23) = e20 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f85,plain,
    ( op2(e20,e20) = e20
    | op2(e21,e20) = e20
    | op2(e22,e20) = e20
    | op2(e23,e20) = e20 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f86,plain,
    ( op2(e20,e20) = e21
    | op2(e20,e21) = e21
    | op2(e20,e22) = e21
    | op2(e20,e23) = e21 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f88,plain,
    ( op2(e20,e20) = e22
    | op2(e20,e21) = e22
    | op2(e20,e22) = e22
    | op2(e20,e23) = e22 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f91,plain,
    ( op2(e20,e20) = e23
    | op2(e21,e20) = e23
    | op2(e22,e20) = e23
    | op2(e23,e20) = e23 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f92,plain,
    ( op2(e21,e20) = e20
    | op2(e21,e21) = e20
    | op2(e21,e22) = e20
    | op2(e21,e23) = e20 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f93,plain,
    ( op2(e20,e21) = e20
    | op2(e21,e21) = e20
    | op2(e22,e21) = e20
    | op2(e23,e21) = e20 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f94,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e21) = e21
    | op2(e21,e22) = e21
    | op2(e21,e23) = e21 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f95,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f96,plain,
    ( op2(e21,e20) = e22
    | op2(e21,e21) = e22
    | op2(e21,e22) = e22
    | op2(e21,e23) = e22 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f97,plain,
    ( op2(e20,e21) = e22
    | op2(e21,e21) = e22
    | op2(e22,e21) = e22
    | op2(e23,e21) = e22 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f98,plain,
    ( op2(e21,e20) = e23
    | op2(e21,e21) = e23
    | op2(e21,e22) = e23
    | op2(e21,e23) = e23 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f100,plain,
    ( op2(e22,e20) = e20
    | op2(e22,e21) = e20
    | op2(e22,e22) = e20
    | op2(e22,e23) = e20 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f101,plain,
    ( op2(e20,e22) = e20
    | op2(e21,e22) = e20
    | op2(e22,e22) = e20
    | op2(e23,e22) = e20 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f102,plain,
    ( op2(e22,e20) = e21
    | op2(e22,e21) = e21
    | op2(e22,e22) = e21
    | op2(e22,e23) = e21 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f103,plain,
    ( op2(e20,e22) = e21
    | op2(e21,e22) = e21
    | op2(e22,e22) = e21
    | op2(e23,e22) = e21 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f104,plain,
    ( op2(e22,e20) = e22
    | op2(e22,e21) = e22
    | op2(e22,e22) = e22
    | op2(e22,e23) = e22 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f105,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e22,e22) = e22
    | op2(e23,e22) = e22 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f107,plain,
    ( op2(e20,e22) = e23
    | op2(e21,e22) = e23
    | op2(e22,e22) = e23
    | op2(e23,e22) = e23 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f108,plain,
    ( op2(e23,e20) = e20
    | op2(e23,e21) = e20
    | op2(e23,e22) = e20
    | op2(e23,e23) = e20 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f109,plain,
    ( op2(e20,e23) = e20
    | op2(e21,e23) = e20
    | op2(e22,e23) = e20
    | op2(e23,e23) = e20 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f110,plain,
    ( op2(e23,e20) = e21
    | op2(e23,e21) = e21
    | op2(e23,e22) = e21
    | op2(e23,e23) = e21 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f111,plain,
    ( op2(e20,e23) = e21
    | op2(e21,e23) = e21
    | op2(e22,e23) = e21
    | op2(e23,e23) = e21 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f113,plain,
    ( op2(e20,e23) = e22
    | op2(e21,e23) = e22
    | op2(e22,e23) = e22
    | op2(e23,e23) = e22 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f114,plain,
    ( op2(e23,e20) = e23
    | op2(e23,e21) = e23
    | op2(e23,e22) = e23
    | op2(e23,e23) = e23 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f115,plain,
    ( op2(e20,e23) = e23
    | op2(e21,e23) = e23
    | op2(e22,e23) = e23
    | op2(e23,e23) = e23 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f116,plain,
    op1(e10,e10) != op1(e11,e10),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f117,plain,
    op1(e10,e10) != op1(e12,e10),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f119,plain,
    op1(e11,e10) != op1(e12,e10),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f120,plain,
    op1(e11,e10) != op1(e13,e10),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f121,plain,
    op1(e12,e10) != op1(e13,e10),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f123,plain,
    op1(e10,e11) != op1(e12,e11),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f124,plain,
    op1(e10,e11) != op1(e13,e11),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f125,plain,
    op1(e11,e11) != op1(e12,e11),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f126,plain,
    op1(e11,e11) != op1(e13,e11),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f128,plain,
    op1(e10,e12) != op1(e11,e12),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f129,plain,
    op1(e10,e12) != op1(e12,e12),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f130,plain,
    op1(e10,e12) != op1(e13,e12),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f131,plain,
    op1(e11,e12) != op1(e12,e12),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f132,plain,
    op1(e11,e12) != op1(e13,e12),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f133,plain,
    op1(e12,e12) != op1(e13,e12),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f134,plain,
    op1(e10,e13) != op1(e11,e13),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f135,plain,
    op1(e10,e13) != op1(e12,e13),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f136,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f137,plain,
    op1(e11,e13) != op1(e12,e13),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f139,plain,
    op1(e12,e13) != op1(e13,e13),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f141,plain,
    op1(e10,e10) != op1(e10,e12),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f143,plain,
    op1(e10,e11) != op1(e10,e12),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f147,plain,
    op1(e11,e10) != op1(e11,e12),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f148,plain,
    op1(e11,e10) != op1(e11,e13),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f149,plain,
    op1(e11,e11) != op1(e11,e12),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f150,plain,
    op1(e11,e11) != op1(e11,e13),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f151,plain,
    op1(e11,e12) != op1(e11,e13),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f152,plain,
    op1(e12,e10) != op1(e12,e11),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f153,plain,
    op1(e12,e10) != op1(e12,e12),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f154,plain,
    op1(e12,e10) != op1(e12,e13),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f155,plain,
    op1(e12,e11) != op1(e12,e12),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f157,plain,
    op1(e12,e12) != op1(e12,e13),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f158,plain,
    op1(e13,e10) != op1(e13,e11),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f159,plain,
    op1(e13,e10) != op1(e13,e12),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f160,plain,
    op1(e13,e10) != op1(e13,e13),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f161,plain,
    op1(e13,e11) != op1(e13,e12),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f162,plain,
    op1(e13,e11) != op1(e13,e13),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f163,plain,
    op1(e13,e12) != op1(e13,e13),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f164,plain,
    op2(e20,e20) != op2(e21,e20),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f167,plain,
    op2(e21,e20) != op2(e22,e20),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f169,plain,
    op2(e22,e20) != op2(e23,e20),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f171,plain,
    op2(e20,e21) != op2(e22,e21),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f172,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f173,plain,
    op2(e21,e21) != op2(e22,e21),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f174,plain,
    op2(e21,e21) != op2(e23,e21),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f175,plain,
    op2(e22,e21) != op2(e23,e21),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f176,plain,
    op2(e20,e22) != op2(e21,e22),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f177,plain,
    op2(e20,e22) != op2(e22,e22),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f178,plain,
    op2(e20,e22) != op2(e23,e22),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f179,plain,
    op2(e21,e22) != op2(e22,e22),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f180,plain,
    op2(e21,e22) != op2(e23,e22),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f181,plain,
    op2(e22,e22) != op2(e23,e22),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f182,plain,
    op2(e20,e23) != op2(e21,e23),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f183,plain,
    op2(e20,e23) != op2(e22,e23),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f184,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f185,plain,
    op2(e21,e23) != op2(e22,e23),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f186,plain,
    op2(e21,e23) != op2(e23,e23),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f187,plain,
    op2(e22,e23) != op2(e23,e23),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f189,plain,
    op2(e20,e20) != op2(e20,e22),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f190,plain,
    op2(e20,e20) != op2(e20,e23),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f191,plain,
    op2(e20,e21) != op2(e20,e22),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f192,plain,
    op2(e20,e21) != op2(e20,e23),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f193,plain,
    op2(e20,e22) != op2(e20,e23),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f195,plain,
    op2(e21,e20) != op2(e21,e22),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f196,plain,
    op2(e21,e20) != op2(e21,e23),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f197,plain,
    op2(e21,e21) != op2(e21,e22),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f198,plain,
    op2(e21,e21) != op2(e21,e23),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f199,plain,
    op2(e21,e22) != op2(e21,e23),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f200,plain,
    op2(e22,e20) != op2(e22,e21),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f201,plain,
    op2(e22,e20) != op2(e22,e22),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f202,plain,
    op2(e22,e20) != op2(e22,e23),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f203,plain,
    op2(e22,e21) != op2(e22,e22),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f204,plain,
    op2(e22,e21) != op2(e22,e23),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f205,plain,
    op2(e22,e22) != op2(e22,e23),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f206,plain,
    op2(e23,e20) != op2(e23,e21),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f207,plain,
    op2(e23,e20) != op2(e23,e22),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f209,plain,
    op2(e23,e21) != op2(e23,e22),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f211,plain,
    op2(e23,e22) != op2(e23,e23),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f212,plain,
    e10 != e11,
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f213,plain,
    e10 != e12,
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f214,plain,
    e10 != e13,
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f215,plain,
    e11 != e12,
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f216,plain,
    e11 != e13,
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f217,plain,
    e12 != e13,
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f218,plain,
    e20 != e21,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f219,plain,
    e20 != e22,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f220,plain,
    e20 != e23,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f221,plain,
    e21 != e22,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f222,plain,
    e21 != e23,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f223,plain,
    e22 != e23,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f240,plain,
    ( ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e12,e10) = e12
        & op1(e10,e12) = e12
        & op1(e10,e12) != e10
        & op1(e11,e12) != e11
        & op1(e12,e12) != e12
        & op1(e13,e12) != e13 )
      | ( op1(e12,e11) = e12
        & op1(e11,e12) = e12
        & op1(e10,e12) != e10
        & op1(e11,e12) != e11
        & op1(e12,e12) != e12
        & op1(e13,e12) != e13 )
      | ( op1(e12,e12) = e12
        & op1(e12,e12) = e12
        & op1(e10,e12) != e10
        & op1(e11,e12) != e11
        & op1(e12,e12) != e12
        & op1(e13,e12) != e13 )
      | ( op1(e12,e13) = e12
        & op1(e13,e12) = e12
        & op1(e10,e12) != e10
        & op1(e11,e12) != e11
        & op1(e12,e12) != e12
        & op1(e13,e12) != e13 )
      | ( op1(e13,e10) = e13
        & op1(e10,e13) = e13
        & op1(e10,e13) != e10
        & op1(e11,e13) != e11
        & op1(e12,e13) != e12
        & op1(e13,e13) != e13 )
      | ( op1(e13,e11) = e13
        & op1(e11,e13) = e13
        & op1(e10,e13) != e10
        & op1(e11,e13) != e11
        & op1(e12,e13) != e12
        & op1(e13,e13) != e13 )
      | ( op1(e13,e12) = e13
        & op1(e12,e13) = e13
        & op1(e10,e13) != e10
        & op1(e11,e13) != e11
        & op1(e12,e13) != e12
        & op1(e13,e13) != e13 )
      | ( op1(e13,e13) = e13
        & op1(e13,e13) = e13
        & op1(e10,e13) != e10
        & op1(e11,e13) != e11
        & op1(e12,e13) != e12
        & op1(e13,e13) != e13 ) )
    & ( ( op1(e10,e10) = op1(e10,e10)
        & op1(e10,e10) != op1(e10,e10)
        & op1(e10,op1(e10,e10)) = e10 )
      | ( op1(e11,e10) = op1(e10,e11)
        & op1(e11,e11) != op1(e10,e11)
        & op1(e11,op1(e10,e11)) = e11 )
      | ( op1(e12,e10) = op1(e10,e12)
        & op1(e12,e12) != op1(e10,e12)
        & op1(e12,op1(e10,e12)) = e12 )
      | ( op1(e13,e10) = op1(e10,e13)
        & op1(e13,e13) != op1(e10,e13)
        & op1(e13,op1(e10,e13)) = e13 )
      | ( op1(e10,e11) = op1(e11,e10)
        & op1(e10,e10) != op1(e11,e10)
        & op1(e10,op1(e11,e10)) = e10 )
      | ( op1(e11,e11) = op1(e11,e11)
        & op1(e11,e11) != op1(e11,e11)
        & op1(e11,op1(e11,e11)) = e11 )
      | ( op1(e12,e11) = op1(e11,e12)
        & op1(e12,e12) != op1(e11,e12)
        & op1(e12,op1(e11,e12)) = e12 )
      | ( op1(e13,e11) = op1(e11,e13)
        & op1(e13,e13) != op1(e11,e13)
        & op1(e13,op1(e11,e13)) = e13 )
      | ( op1(e10,e12) = op1(e12,e10)
        & op1(e10,e10) != op1(e12,e10)
        & op1(e10,op1(e12,e10)) = e10 )
      | ( op1(e11,e12) = op1(e12,e11)
        & op1(e11,e11) != op1(e12,e11)
        & op1(e11,op1(e12,e11)) = e11 )
      | ( op1(e12,e12) = op1(e12,e12)
        & op1(e12,e12) != op1(e12,e12)
        & op1(e12,op1(e12,e12)) = e12 )
      | ( op1(e13,e12) = op1(e12,e13)
        & op1(e13,e13) != op1(e12,e13)
        & op1(e13,op1(e12,e13)) = e13 )
      | ( op1(e10,e13) = op1(e13,e10)
        & op1(e10,e10) != op1(e13,e10)
        & op1(e10,op1(e13,e10)) = e10 )
      | ( op1(e11,e13) = op1(e13,e11)
        & op1(e11,e11) != op1(e13,e11)
        & op1(e11,op1(e13,e11)) = e11 )
      | ( op1(e12,e13) = op1(e13,e12)
        & op1(e12,e12) != op1(e13,e12)
        & op1(e12,op1(e13,e12)) = e12 )
      | ( op1(e13,e13) = op1(e13,e13)
        & op1(e13,e13) != op1(e13,e13)
        & op1(e13,op1(e13,e13)) = e13 ) )
    & ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | ( ( op1(e10,e10) != e10
              | op1(e10,e10) != e10 )
            & ( op1(e10,e10) != e11
              | op1(e10,e10) != e11 )
            & ( op1(e10,e10) != e12
              | op1(e10,e10) != e12 )
            & ( op1(e10,e10) != e13
              | op1(e10,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | ( ( op1(e10,e11) != e10
              | op1(e11,e10) != e10 )
            & ( op1(e10,e11) != e11
              | op1(e11,e10) != e11 )
            & ( op1(e10,e11) != e12
              | op1(e11,e10) != e12 )
            & ( op1(e10,e11) != e13
              | op1(e11,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | ( ( op1(e10,e12) != e10
              | op1(e12,e10) != e10 )
            & ( op1(e10,e12) != e11
              | op1(e12,e10) != e11 )
            & ( op1(e10,e12) != e12
              | op1(e12,e10) != e12 )
            & ( op1(e10,e12) != e13
              | op1(e12,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e13
        & ( op1(e10,e10) != e13
          | ( ( op1(e10,e13) != e10
              | op1(e13,e10) != e10 )
            & ( op1(e10,e13) != e11
              | op1(e13,e10) != e11 )
            & ( op1(e10,e13) != e12
              | op1(e13,e10) != e12 )
            & ( op1(e10,e13) != e13
              | op1(e13,e10) != e13 ) ) ) )
      | ( op1(e11,e11) = e10
        & ( op1(e11,e11) != e10
          | ( ( op1(e11,e10) != e10
              | op1(e10,e11) != e10 )
            & ( op1(e11,e10) != e11
              | op1(e10,e11) != e11 )
            & ( op1(e11,e10) != e12
              | op1(e10,e11) != e12 )
            & ( op1(e11,e10) != e13
              | op1(e10,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e11
        & ( op1(e11,e11) != e11
          | ( ( op1(e11,e11) != e10
              | op1(e11,e11) != e10 )
            & ( op1(e11,e11) != e11
              | op1(e11,e11) != e11 )
            & ( op1(e11,e11) != e12
              | op1(e11,e11) != e12 )
            & ( op1(e11,e11) != e13
              | op1(e11,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e12
        & ( op1(e11,e11) != e12
          | ( ( op1(e11,e12) != e10
              | op1(e12,e11) != e10 )
            & ( op1(e11,e12) != e11
              | op1(e12,e11) != e11 )
            & ( op1(e11,e12) != e12
              | op1(e12,e11) != e12 )
            & ( op1(e11,e12) != e13
              | op1(e12,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e13
        & ( op1(e11,e11) != e13
          | ( ( op1(e11,e13) != e10
              | op1(e13,e11) != e10 )
            & ( op1(e11,e13) != e11
              | op1(e13,e11) != e11 )
            & ( op1(e11,e13) != e12
              | op1(e13,e11) != e12 )
            & ( op1(e11,e13) != e13
              | op1(e13,e11) != e13 ) ) ) )
      | ( op1(e12,e12) = e10
        & ( op1(e12,e12) != e10
          | ( ( op1(e12,e10) != e10
              | op1(e10,e12) != e10 )
            & ( op1(e12,e10) != e11
              | op1(e10,e12) != e11 )
            & ( op1(e12,e10) != e12
              | op1(e10,e12) != e12 )
            & ( op1(e12,e10) != e13
              | op1(e10,e12) != e13 ) ) ) )
      | ( op1(e12,e12) = e11
        & ( op1(e12,e12) != e11
          | ( ( op1(e12,e11) != e10
              | op1(e11,e12) != e10 )
            & ( op1(e12,e11) != e11
              | op1(e11,e12) != e11 )
            & ( op1(e12,e11) != e12
              | op1(e11,e12) != e12 )
            & ( op1(e12,e11) != e13
              | op1(e11,e12) != e13 ) ) ) )
      | ( op1(e12,e12) = e12
        & ( op1(e12,e12) != e12
          | ( ( op1(e12,e12) != e10
              | op1(e12,e12) != e10 )
            & ( op1(e12,e12) != e11
              | op1(e12,e12) != e11 )
            & ( op1(e12,e12) != e12
              | op1(e12,e12) != e12 )
            & ( op1(e12,e12) != e13
              | op1(e12,e12) != e13 ) ) ) )
      | ( op1(e12,e12) = e13
        & ( op1(e12,e12) != e13
          | ( ( op1(e12,e13) != e10
              | op1(e13,e12) != e10 )
            & ( op1(e12,e13) != e11
              | op1(e13,e12) != e11 )
            & ( op1(e12,e13) != e12
              | op1(e13,e12) != e12 )
            & ( op1(e12,e13) != e13
              | op1(e13,e12) != e13 ) ) ) )
      | ( op1(e13,e13) = e10
        & ( op1(e13,e13) != e10
          | ( ( op1(e13,e10) != e10
              | op1(e10,e13) != e10 )
            & ( op1(e13,e10) != e11
              | op1(e10,e13) != e11 )
            & ( op1(e13,e10) != e12
              | op1(e10,e13) != e12 )
            & ( op1(e13,e10) != e13
              | op1(e10,e13) != e13 ) ) ) )
      | ( op1(e13,e13) = e11
        & ( op1(e13,e13) != e11
          | ( ( op1(e13,e11) != e10
              | op1(e11,e13) != e10 )
            & ( op1(e13,e11) != e11
              | op1(e11,e13) != e11 )
            & ( op1(e13,e11) != e12
              | op1(e11,e13) != e12 )
            & ( op1(e13,e11) != e13
              | op1(e11,e13) != e13 ) ) ) )
      | ( op1(e13,e13) = e12
        & ( op1(e13,e13) != e12
          | ( ( op1(e13,e12) != e10
              | op1(e12,e13) != e10 )
            & ( op1(e13,e12) != e11
              | op1(e12,e13) != e11 )
            & ( op1(e13,e12) != e12
              | op1(e12,e13) != e12 )
            & ( op1(e13,e12) != e13
              | op1(e12,e13) != e13 ) ) ) )
      | ( op1(e13,e13) = e13
        & ( op1(e13,e13) != e13
          | ( ( op1(e13,e13) != e10
              | op1(e13,e13) != e10 )
            & ( op1(e13,e13) != e11
              | op1(e13,e13) != e11 )
            & ( op1(e13,e13) != e12
              | op1(e13,e13) != e12 )
            & ( op1(e13,e13) != e13
              | op1(e13,e13) != e13 ) ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f10]) ).

fof(f241,plain,
    ( pd0_0
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e12,e10) = e12
        & op1(e10,e12) = e12
        & op1(e10,e12) != e10
        & op1(e11,e12) != e11
        & op1(e12,e12) != e12
        & op1(e13,e12) != e13 )
      | ( op1(e12,e11) = e12
        & op1(e11,e12) = e12
        & op1(e10,e12) != e10
        & op1(e11,e12) != e11
        & op1(e12,e12) != e12
        & op1(e13,e12) != e13 )
      | ( op1(e12,e12) = e12
        & op1(e12,e12) = e12
        & op1(e10,e12) != e10
        & op1(e11,e12) != e11
        & op1(e12,e12) != e12
        & op1(e13,e12) != e13 )
      | ( op1(e12,e13) = e12
        & op1(e13,e12) = e12
        & op1(e10,e12) != e10
        & op1(e11,e12) != e11
        & op1(e12,e12) != e12
        & op1(e13,e12) != e13 )
      | ( op1(e13,e10) = e13
        & op1(e10,e13) = e13
        & op1(e10,e13) != e10
        & op1(e11,e13) != e11
        & op1(e12,e13) != e12
        & op1(e13,e13) != e13 )
      | ( op1(e13,e11) = e13
        & op1(e11,e13) = e13
        & op1(e10,e13) != e10
        & op1(e11,e13) != e11
        & op1(e12,e13) != e12
        & op1(e13,e13) != e13 )
      | ( op1(e13,e12) = e13
        & op1(e12,e13) = e13
        & op1(e10,e13) != e10
        & op1(e11,e13) != e11
        & op1(e12,e13) != e12
        & op1(e13,e13) != e13 ) ) ),
    introduced(predicate_definition,[f240]) ).

fof(f242,plain,
    ( pd0_1
   => ( ( op1(e10,e10) = op1(e10,e10)
        & op1(e10,e10) != op1(e10,e10)
        & op1(e10,op1(e10,e10)) = e10 )
      | ( op1(e11,e10) = op1(e10,e11)
        & op1(e11,e11) != op1(e10,e11)
        & op1(e11,op1(e10,e11)) = e11 )
      | ( op1(e12,e10) = op1(e10,e12)
        & op1(e12,e12) != op1(e10,e12)
        & op1(e12,op1(e10,e12)) = e12 )
      | ( op1(e13,e10) = op1(e10,e13)
        & op1(e13,e13) != op1(e10,e13)
        & op1(e13,op1(e10,e13)) = e13 )
      | ( op1(e10,e11) = op1(e11,e10)
        & op1(e10,e10) != op1(e11,e10)
        & op1(e10,op1(e11,e10)) = e10 )
      | ( op1(e11,e11) = op1(e11,e11)
        & op1(e11,e11) != op1(e11,e11)
        & op1(e11,op1(e11,e11)) = e11 )
      | ( op1(e12,e11) = op1(e11,e12)
        & op1(e12,e12) != op1(e11,e12)
        & op1(e12,op1(e11,e12)) = e12 )
      | ( op1(e13,e11) = op1(e11,e13)
        & op1(e13,e13) != op1(e11,e13)
        & op1(e13,op1(e11,e13)) = e13 )
      | ( op1(e10,e12) = op1(e12,e10)
        & op1(e10,e10) != op1(e12,e10)
        & op1(e10,op1(e12,e10)) = e10 )
      | ( op1(e11,e12) = op1(e12,e11)
        & op1(e11,e11) != op1(e12,e11)
        & op1(e11,op1(e12,e11)) = e11 )
      | ( op1(e12,e12) = op1(e12,e12)
        & op1(e12,e12) != op1(e12,e12)
        & op1(e12,op1(e12,e12)) = e12 )
      | ( op1(e13,e12) = op1(e12,e13)
        & op1(e13,e13) != op1(e12,e13)
        & op1(e13,op1(e12,e13)) = e13 )
      | ( op1(e10,e13) = op1(e13,e10)
        & op1(e10,e10) != op1(e13,e10)
        & op1(e10,op1(e13,e10)) = e10 )
      | ( op1(e11,e13) = op1(e13,e11)
        & op1(e11,e11) != op1(e13,e11)
        & op1(e11,op1(e13,e11)) = e11 )
      | ( op1(e12,e13) = op1(e13,e12)
        & op1(e12,e12) != op1(e13,e12)
        & op1(e12,op1(e13,e12)) = e12 ) ) ),
    introduced(predicate_definition,[f240]) ).

fof(f243,plain,
    ( pd0_2
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | ( ( op1(e10,e10) != e10
              | op1(e10,e10) != e10 )
            & ( op1(e10,e10) != e11
              | op1(e10,e10) != e11 )
            & ( op1(e10,e10) != e12
              | op1(e10,e10) != e12 )
            & ( op1(e10,e10) != e13
              | op1(e10,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | ( ( op1(e10,e11) != e10
              | op1(e11,e10) != e10 )
            & ( op1(e10,e11) != e11
              | op1(e11,e10) != e11 )
            & ( op1(e10,e11) != e12
              | op1(e11,e10) != e12 )
            & ( op1(e10,e11) != e13
              | op1(e11,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | ( ( op1(e10,e12) != e10
              | op1(e12,e10) != e10 )
            & ( op1(e10,e12) != e11
              | op1(e12,e10) != e11 )
            & ( op1(e10,e12) != e12
              | op1(e12,e10) != e12 )
            & ( op1(e10,e12) != e13
              | op1(e12,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e13
        & ( op1(e10,e10) != e13
          | ( ( op1(e10,e13) != e10
              | op1(e13,e10) != e10 )
            & ( op1(e10,e13) != e11
              | op1(e13,e10) != e11 )
            & ( op1(e10,e13) != e12
              | op1(e13,e10) != e12 )
            & ( op1(e10,e13) != e13
              | op1(e13,e10) != e13 ) ) ) )
      | ( op1(e11,e11) = e10
        & ( op1(e11,e11) != e10
          | ( ( op1(e11,e10) != e10
              | op1(e10,e11) != e10 )
            & ( op1(e11,e10) != e11
              | op1(e10,e11) != e11 )
            & ( op1(e11,e10) != e12
              | op1(e10,e11) != e12 )
            & ( op1(e11,e10) != e13
              | op1(e10,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e11
        & ( op1(e11,e11) != e11
          | ( ( op1(e11,e11) != e10
              | op1(e11,e11) != e10 )
            & ( op1(e11,e11) != e11
              | op1(e11,e11) != e11 )
            & ( op1(e11,e11) != e12
              | op1(e11,e11) != e12 )
            & ( op1(e11,e11) != e13
              | op1(e11,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e12
        & ( op1(e11,e11) != e12
          | ( ( op1(e11,e12) != e10
              | op1(e12,e11) != e10 )
            & ( op1(e11,e12) != e11
              | op1(e12,e11) != e11 )
            & ( op1(e11,e12) != e12
              | op1(e12,e11) != e12 )
            & ( op1(e11,e12) != e13
              | op1(e12,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e13
        & ( op1(e11,e11) != e13
          | ( ( op1(e11,e13) != e10
              | op1(e13,e11) != e10 )
            & ( op1(e11,e13) != e11
              | op1(e13,e11) != e11 )
            & ( op1(e11,e13) != e12
              | op1(e13,e11) != e12 )
            & ( op1(e11,e13) != e13
              | op1(e13,e11) != e13 ) ) ) )
      | ( op1(e12,e12) = e10
        & ( op1(e12,e12) != e10
          | ( ( op1(e12,e10) != e10
              | op1(e10,e12) != e10 )
            & ( op1(e12,e10) != e11
              | op1(e10,e12) != e11 )
            & ( op1(e12,e10) != e12
              | op1(e10,e12) != e12 )
            & ( op1(e12,e10) != e13
              | op1(e10,e12) != e13 ) ) ) )
      | ( op1(e12,e12) = e11
        & ( op1(e12,e12) != e11
          | ( ( op1(e12,e11) != e10
              | op1(e11,e12) != e10 )
            & ( op1(e12,e11) != e11
              | op1(e11,e12) != e11 )
            & ( op1(e12,e11) != e12
              | op1(e11,e12) != e12 )
            & ( op1(e12,e11) != e13
              | op1(e11,e12) != e13 ) ) ) )
      | ( op1(e12,e12) = e12
        & ( op1(e12,e12) != e12
          | ( ( op1(e12,e12) != e10
              | op1(e12,e12) != e10 )
            & ( op1(e12,e12) != e11
              | op1(e12,e12) != e11 )
            & ( op1(e12,e12) != e12
              | op1(e12,e12) != e12 )
            & ( op1(e12,e12) != e13
              | op1(e12,e12) != e13 ) ) ) )
      | ( op1(e12,e12) = e13
        & ( op1(e12,e12) != e13
          | ( ( op1(e12,e13) != e10
              | op1(e13,e12) != e10 )
            & ( op1(e12,e13) != e11
              | op1(e13,e12) != e11 )
            & ( op1(e12,e13) != e12
              | op1(e13,e12) != e12 )
            & ( op1(e12,e13) != e13
              | op1(e13,e12) != e13 ) ) ) )
      | ( op1(e13,e13) = e10
        & ( op1(e13,e13) != e10
          | ( ( op1(e13,e10) != e10
              | op1(e10,e13) != e10 )
            & ( op1(e13,e10) != e11
              | op1(e10,e13) != e11 )
            & ( op1(e13,e10) != e12
              | op1(e10,e13) != e12 )
            & ( op1(e13,e10) != e13
              | op1(e10,e13) != e13 ) ) ) )
      | ( op1(e13,e13) = e11
        & ( op1(e13,e13) != e11
          | ( ( op1(e13,e11) != e10
              | op1(e11,e13) != e10 )
            & ( op1(e13,e11) != e11
              | op1(e11,e13) != e11 )
            & ( op1(e13,e11) != e12
              | op1(e11,e13) != e12 )
            & ( op1(e13,e11) != e13
              | op1(e11,e13) != e13 ) ) ) )
      | ( op1(e13,e13) = e12
        & ( op1(e13,e13) != e12
          | ( ( op1(e13,e12) != e10
              | op1(e12,e13) != e10 )
            & ( op1(e13,e12) != e11
              | op1(e12,e13) != e11 )
            & ( op1(e13,e12) != e12
              | op1(e12,e13) != e12 )
            & ( op1(e13,e12) != e13
              | op1(e12,e13) != e13 ) ) ) ) ) ),
    introduced(predicate_definition,[f240]) ).

fof(f244,plain,
    ( ( pd0_0
      | ( op1(e13,e13) = e13
        & op1(e13,e13) = e13
        & op1(e10,e13) != e10
        & op1(e11,e13) != e11
        & op1(e12,e13) != e12
        & op1(e13,e13) != e13 ) )
    & ( pd0_1
      | ( op1(e13,e13) = op1(e13,e13)
        & op1(e13,e13) != op1(e13,e13)
        & op1(e13,op1(e13,e13)) = e13 ) )
    & ( pd0_2
      | ( op1(e13,e13) = e13
        & ( op1(e13,e13) != e13
          | ( ( op1(e13,e13) != e10
              | op1(e13,e13) != e10 )
            & ( op1(e13,e13) != e11
              | op1(e13,e13) != e11 )
            & ( op1(e13,e13) != e12
              | op1(e13,e13) != e12 )
            & ( op1(e13,e13) != e13
              | op1(e13,e13) != e13 ) ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f240,f243,f242,f241]) ).

fof(f245,plain,
    ( pd0_0
    | op1(e13,e13) = e13 ),
    inference(cnf_transformation,[status(esa)],[f244]) ).

fof(f247,plain,
    ( pd0_0
    | op1(e10,e13) != e10 ),
    inference(cnf_transformation,[status(esa)],[f244]) ).

fof(f248,plain,
    ( pd0_0
    | op1(e11,e13) != e11 ),
    inference(cnf_transformation,[status(esa)],[f244]) ).

fof(f250,plain,
    ( pd0_0
    | op1(e13,e13) != e13 ),
    inference(cnf_transformation,[status(esa)],[f244]) ).

fof(f251,plain,
    ( pd0_1
    | op1(e13,e13) = op1(e13,e13) ),
    inference(cnf_transformation,[status(esa)],[f244]) ).

fof(f252,plain,
    ( pd0_1
    | op1(e13,e13) != op1(e13,e13) ),
    inference(cnf_transformation,[status(esa)],[f244]) ).

fof(f253,plain,
    ( pd0_1
    | op1(e13,op1(e13,e13)) = e13 ),
    inference(cnf_transformation,[status(esa)],[f244]) ).

fof(f254,plain,
    ( pd0_2
    | op1(e13,e13) = e13 ),
    inference(cnf_transformation,[status(esa)],[f244]) ).

fof(f258,plain,
    ( pd0_2
    | op1(e13,e13) != e13
    | op1(e13,e13) != e13
    | op1(e13,e13) != e13 ),
    inference(cnf_transformation,[status(esa)],[f244]) ).

fof(f259,plain,
    ( ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e23) = e21
        & op2(e23,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e22,e20) = e22
        & op2(e20,e22) = e22
        & op2(e20,e22) != e20
        & op2(e21,e22) != e21
        & op2(e22,e22) != e22
        & op2(e23,e22) != e23 )
      | ( op2(e22,e21) = e22
        & op2(e21,e22) = e22
        & op2(e20,e22) != e20
        & op2(e21,e22) != e21
        & op2(e22,e22) != e22
        & op2(e23,e22) != e23 )
      | ( op2(e22,e22) = e22
        & op2(e22,e22) = e22
        & op2(e20,e22) != e20
        & op2(e21,e22) != e21
        & op2(e22,e22) != e22
        & op2(e23,e22) != e23 )
      | ( op2(e22,e23) = e22
        & op2(e23,e22) = e22
        & op2(e20,e22) != e20
        & op2(e21,e22) != e21
        & op2(e22,e22) != e22
        & op2(e23,e22) != e23 )
      | ( op2(e23,e20) = e23
        & op2(e20,e23) = e23
        & op2(e20,e23) != e20
        & op2(e21,e23) != e21
        & op2(e22,e23) != e22
        & op2(e23,e23) != e23 )
      | ( op2(e23,e21) = e23
        & op2(e21,e23) = e23
        & op2(e20,e23) != e20
        & op2(e21,e23) != e21
        & op2(e22,e23) != e22
        & op2(e23,e23) != e23 )
      | ( op2(e23,e22) = e23
        & op2(e22,e23) = e23
        & op2(e20,e23) != e20
        & op2(e21,e23) != e21
        & op2(e22,e23) != e22
        & op2(e23,e23) != e23 )
      | ( op2(e23,e23) = e23
        & op2(e23,e23) = e23
        & op2(e20,e23) != e20
        & op2(e21,e23) != e21
        & op2(e22,e23) != e22
        & op2(e23,e23) != e23 ) )
    & ( ( op2(e20,e20) = op2(e20,e20)
        & op2(e20,e20) != op2(e20,e20)
        & op2(e20,op2(e20,e20)) = e20 )
      | ( op2(e21,e20) = op2(e20,e21)
        & op2(e21,e21) != op2(e20,e21)
        & op2(e21,op2(e20,e21)) = e21 )
      | ( op2(e22,e20) = op2(e20,e22)
        & op2(e22,e22) != op2(e20,e22)
        & op2(e22,op2(e20,e22)) = e22 )
      | ( op2(e23,e20) = op2(e20,e23)
        & op2(e23,e23) != op2(e20,e23)
        & op2(e23,op2(e20,e23)) = e23 )
      | ( op2(e20,e21) = op2(e21,e20)
        & op2(e20,e20) != op2(e21,e20)
        & op2(e20,op2(e21,e20)) = e20 )
      | ( op2(e21,e21) = op2(e21,e21)
        & op2(e21,e21) != op2(e21,e21)
        & op2(e21,op2(e21,e21)) = e21 )
      | ( op2(e22,e21) = op2(e21,e22)
        & op2(e22,e22) != op2(e21,e22)
        & op2(e22,op2(e21,e22)) = e22 )
      | ( op2(e23,e21) = op2(e21,e23)
        & op2(e23,e23) != op2(e21,e23)
        & op2(e23,op2(e21,e23)) = e23 )
      | ( op2(e20,e22) = op2(e22,e20)
        & op2(e20,e20) != op2(e22,e20)
        & op2(e20,op2(e22,e20)) = e20 )
      | ( op2(e21,e22) = op2(e22,e21)
        & op2(e21,e21) != op2(e22,e21)
        & op2(e21,op2(e22,e21)) = e21 )
      | ( op2(e22,e22) = op2(e22,e22)
        & op2(e22,e22) != op2(e22,e22)
        & op2(e22,op2(e22,e22)) = e22 )
      | ( op2(e23,e22) = op2(e22,e23)
        & op2(e23,e23) != op2(e22,e23)
        & op2(e23,op2(e22,e23)) = e23 )
      | ( op2(e20,e23) = op2(e23,e20)
        & op2(e20,e20) != op2(e23,e20)
        & op2(e20,op2(e23,e20)) = e20 )
      | ( op2(e21,e23) = op2(e23,e21)
        & op2(e21,e21) != op2(e23,e21)
        & op2(e21,op2(e23,e21)) = e21 )
      | ( op2(e22,e23) = op2(e23,e22)
        & op2(e22,e22) != op2(e23,e22)
        & op2(e22,op2(e23,e22)) = e22 )
      | ( op2(e23,e23) = op2(e23,e23)
        & op2(e23,e23) != op2(e23,e23)
        & op2(e23,op2(e23,e23)) = e23 ) )
    & ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | ( ( op2(e20,e20) != e20
              | op2(e20,e20) != e20 )
            & ( op2(e20,e20) != e21
              | op2(e20,e20) != e21 )
            & ( op2(e20,e20) != e22
              | op2(e20,e20) != e22 )
            & ( op2(e20,e20) != e23
              | op2(e20,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | ( ( op2(e20,e21) != e20
              | op2(e21,e20) != e20 )
            & ( op2(e20,e21) != e21
              | op2(e21,e20) != e21 )
            & ( op2(e20,e21) != e22
              | op2(e21,e20) != e22 )
            & ( op2(e20,e21) != e23
              | op2(e21,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | ( ( op2(e20,e22) != e20
              | op2(e22,e20) != e20 )
            & ( op2(e20,e22) != e21
              | op2(e22,e20) != e21 )
            & ( op2(e20,e22) != e22
              | op2(e22,e20) != e22 )
            & ( op2(e20,e22) != e23
              | op2(e22,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e23
        & ( op2(e20,e20) != e23
          | ( ( op2(e20,e23) != e20
              | op2(e23,e20) != e20 )
            & ( op2(e20,e23) != e21
              | op2(e23,e20) != e21 )
            & ( op2(e20,e23) != e22
              | op2(e23,e20) != e22 )
            & ( op2(e20,e23) != e23
              | op2(e23,e20) != e23 ) ) ) )
      | ( op2(e21,e21) = e20
        & ( op2(e21,e21) != e20
          | ( ( op2(e21,e20) != e20
              | op2(e20,e21) != e20 )
            & ( op2(e21,e20) != e21
              | op2(e20,e21) != e21 )
            & ( op2(e21,e20) != e22
              | op2(e20,e21) != e22 )
            & ( op2(e21,e20) != e23
              | op2(e20,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e21
        & ( op2(e21,e21) != e21
          | ( ( op2(e21,e21) != e20
              | op2(e21,e21) != e20 )
            & ( op2(e21,e21) != e21
              | op2(e21,e21) != e21 )
            & ( op2(e21,e21) != e22
              | op2(e21,e21) != e22 )
            & ( op2(e21,e21) != e23
              | op2(e21,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e22
        & ( op2(e21,e21) != e22
          | ( ( op2(e21,e22) != e20
              | op2(e22,e21) != e20 )
            & ( op2(e21,e22) != e21
              | op2(e22,e21) != e21 )
            & ( op2(e21,e22) != e22
              | op2(e22,e21) != e22 )
            & ( op2(e21,e22) != e23
              | op2(e22,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e23
        & ( op2(e21,e21) != e23
          | ( ( op2(e21,e23) != e20
              | op2(e23,e21) != e20 )
            & ( op2(e21,e23) != e21
              | op2(e23,e21) != e21 )
            & ( op2(e21,e23) != e22
              | op2(e23,e21) != e22 )
            & ( op2(e21,e23) != e23
              | op2(e23,e21) != e23 ) ) ) )
      | ( op2(e22,e22) = e20
        & ( op2(e22,e22) != e20
          | ( ( op2(e22,e20) != e20
              | op2(e20,e22) != e20 )
            & ( op2(e22,e20) != e21
              | op2(e20,e22) != e21 )
            & ( op2(e22,e20) != e22
              | op2(e20,e22) != e22 )
            & ( op2(e22,e20) != e23
              | op2(e20,e22) != e23 ) ) ) )
      | ( op2(e22,e22) = e21
        & ( op2(e22,e22) != e21
          | ( ( op2(e22,e21) != e20
              | op2(e21,e22) != e20 )
            & ( op2(e22,e21) != e21
              | op2(e21,e22) != e21 )
            & ( op2(e22,e21) != e22
              | op2(e21,e22) != e22 )
            & ( op2(e22,e21) != e23
              | op2(e21,e22) != e23 ) ) ) )
      | ( op2(e22,e22) = e22
        & ( op2(e22,e22) != e22
          | ( ( op2(e22,e22) != e20
              | op2(e22,e22) != e20 )
            & ( op2(e22,e22) != e21
              | op2(e22,e22) != e21 )
            & ( op2(e22,e22) != e22
              | op2(e22,e22) != e22 )
            & ( op2(e22,e22) != e23
              | op2(e22,e22) != e23 ) ) ) )
      | ( op2(e22,e22) = e23
        & ( op2(e22,e22) != e23
          | ( ( op2(e22,e23) != e20
              | op2(e23,e22) != e20 )
            & ( op2(e22,e23) != e21
              | op2(e23,e22) != e21 )
            & ( op2(e22,e23) != e22
              | op2(e23,e22) != e22 )
            & ( op2(e22,e23) != e23
              | op2(e23,e22) != e23 ) ) ) )
      | ( op2(e23,e23) = e20
        & ( op2(e23,e23) != e20
          | ( ( op2(e23,e20) != e20
              | op2(e20,e23) != e20 )
            & ( op2(e23,e20) != e21
              | op2(e20,e23) != e21 )
            & ( op2(e23,e20) != e22
              | op2(e20,e23) != e22 )
            & ( op2(e23,e20) != e23
              | op2(e20,e23) != e23 ) ) ) )
      | ( op2(e23,e23) = e21
        & ( op2(e23,e23) != e21
          | ( ( op2(e23,e21) != e20
              | op2(e21,e23) != e20 )
            & ( op2(e23,e21) != e21
              | op2(e21,e23) != e21 )
            & ( op2(e23,e21) != e22
              | op2(e21,e23) != e22 )
            & ( op2(e23,e21) != e23
              | op2(e21,e23) != e23 ) ) ) )
      | ( op2(e23,e23) = e22
        & ( op2(e23,e23) != e22
          | ( ( op2(e23,e22) != e20
              | op2(e22,e23) != e20 )
            & ( op2(e23,e22) != e21
              | op2(e22,e23) != e21 )
            & ( op2(e23,e22) != e22
              | op2(e22,e23) != e22 )
            & ( op2(e23,e22) != e23
              | op2(e22,e23) != e23 ) ) ) )
      | ( op2(e23,e23) = e23
        & ( op2(e23,e23) != e23
          | ( ( op2(e23,e23) != e20
              | op2(e23,e23) != e20 )
            & ( op2(e23,e23) != e21
              | op2(e23,e23) != e21 )
            & ( op2(e23,e23) != e22
              | op2(e23,e23) != e22 )
            & ( op2(e23,e23) != e23
              | op2(e23,e23) != e23 ) ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f11]) ).

fof(f260,plain,
    ( pd0_3
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e23) = e21
        & op2(e23,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e22,e20) = e22
        & op2(e20,e22) = e22
        & op2(e20,e22) != e20
        & op2(e21,e22) != e21
        & op2(e22,e22) != e22
        & op2(e23,e22) != e23 )
      | ( op2(e22,e21) = e22
        & op2(e21,e22) = e22
        & op2(e20,e22) != e20
        & op2(e21,e22) != e21
        & op2(e22,e22) != e22
        & op2(e23,e22) != e23 )
      | ( op2(e22,e22) = e22
        & op2(e22,e22) = e22
        & op2(e20,e22) != e20
        & op2(e21,e22) != e21
        & op2(e22,e22) != e22
        & op2(e23,e22) != e23 )
      | ( op2(e22,e23) = e22
        & op2(e23,e22) = e22
        & op2(e20,e22) != e20
        & op2(e21,e22) != e21
        & op2(e22,e22) != e22
        & op2(e23,e22) != e23 )
      | ( op2(e23,e20) = e23
        & op2(e20,e23) = e23
        & op2(e20,e23) != e20
        & op2(e21,e23) != e21
        & op2(e22,e23) != e22
        & op2(e23,e23) != e23 )
      | ( op2(e23,e21) = e23
        & op2(e21,e23) = e23
        & op2(e20,e23) != e20
        & op2(e21,e23) != e21
        & op2(e22,e23) != e22
        & op2(e23,e23) != e23 )
      | ( op2(e23,e22) = e23
        & op2(e22,e23) = e23
        & op2(e20,e23) != e20
        & op2(e21,e23) != e21
        & op2(e22,e23) != e22
        & op2(e23,e23) != e23 ) ) ),
    introduced(predicate_definition,[f259]) ).

fof(f261,plain,
    ( pd0_4
   => ( ( op2(e20,e20) = op2(e20,e20)
        & op2(e20,e20) != op2(e20,e20)
        & op2(e20,op2(e20,e20)) = e20 )
      | ( op2(e21,e20) = op2(e20,e21)
        & op2(e21,e21) != op2(e20,e21)
        & op2(e21,op2(e20,e21)) = e21 )
      | ( op2(e22,e20) = op2(e20,e22)
        & op2(e22,e22) != op2(e20,e22)
        & op2(e22,op2(e20,e22)) = e22 )
      | ( op2(e23,e20) = op2(e20,e23)
        & op2(e23,e23) != op2(e20,e23)
        & op2(e23,op2(e20,e23)) = e23 )
      | ( op2(e20,e21) = op2(e21,e20)
        & op2(e20,e20) != op2(e21,e20)
        & op2(e20,op2(e21,e20)) = e20 )
      | ( op2(e21,e21) = op2(e21,e21)
        & op2(e21,e21) != op2(e21,e21)
        & op2(e21,op2(e21,e21)) = e21 )
      | ( op2(e22,e21) = op2(e21,e22)
        & op2(e22,e22) != op2(e21,e22)
        & op2(e22,op2(e21,e22)) = e22 )
      | ( op2(e23,e21) = op2(e21,e23)
        & op2(e23,e23) != op2(e21,e23)
        & op2(e23,op2(e21,e23)) = e23 )
      | ( op2(e20,e22) = op2(e22,e20)
        & op2(e20,e20) != op2(e22,e20)
        & op2(e20,op2(e22,e20)) = e20 )
      | ( op2(e21,e22) = op2(e22,e21)
        & op2(e21,e21) != op2(e22,e21)
        & op2(e21,op2(e22,e21)) = e21 )
      | ( op2(e22,e22) = op2(e22,e22)
        & op2(e22,e22) != op2(e22,e22)
        & op2(e22,op2(e22,e22)) = e22 )
      | ( op2(e23,e22) = op2(e22,e23)
        & op2(e23,e23) != op2(e22,e23)
        & op2(e23,op2(e22,e23)) = e23 )
      | ( op2(e20,e23) = op2(e23,e20)
        & op2(e20,e20) != op2(e23,e20)
        & op2(e20,op2(e23,e20)) = e20 )
      | ( op2(e21,e23) = op2(e23,e21)
        & op2(e21,e21) != op2(e23,e21)
        & op2(e21,op2(e23,e21)) = e21 )
      | ( op2(e22,e23) = op2(e23,e22)
        & op2(e22,e22) != op2(e23,e22)
        & op2(e22,op2(e23,e22)) = e22 ) ) ),
    introduced(predicate_definition,[f259]) ).

fof(f262,plain,
    ( pd0_5
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | ( ( op2(e20,e20) != e20
              | op2(e20,e20) != e20 )
            & ( op2(e20,e20) != e21
              | op2(e20,e20) != e21 )
            & ( op2(e20,e20) != e22
              | op2(e20,e20) != e22 )
            & ( op2(e20,e20) != e23
              | op2(e20,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | ( ( op2(e20,e21) != e20
              | op2(e21,e20) != e20 )
            & ( op2(e20,e21) != e21
              | op2(e21,e20) != e21 )
            & ( op2(e20,e21) != e22
              | op2(e21,e20) != e22 )
            & ( op2(e20,e21) != e23
              | op2(e21,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | ( ( op2(e20,e22) != e20
              | op2(e22,e20) != e20 )
            & ( op2(e20,e22) != e21
              | op2(e22,e20) != e21 )
            & ( op2(e20,e22) != e22
              | op2(e22,e20) != e22 )
            & ( op2(e20,e22) != e23
              | op2(e22,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e23
        & ( op2(e20,e20) != e23
          | ( ( op2(e20,e23) != e20
              | op2(e23,e20) != e20 )
            & ( op2(e20,e23) != e21
              | op2(e23,e20) != e21 )
            & ( op2(e20,e23) != e22
              | op2(e23,e20) != e22 )
            & ( op2(e20,e23) != e23
              | op2(e23,e20) != e23 ) ) ) )
      | ( op2(e21,e21) = e20
        & ( op2(e21,e21) != e20
          | ( ( op2(e21,e20) != e20
              | op2(e20,e21) != e20 )
            & ( op2(e21,e20) != e21
              | op2(e20,e21) != e21 )
            & ( op2(e21,e20) != e22
              | op2(e20,e21) != e22 )
            & ( op2(e21,e20) != e23
              | op2(e20,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e21
        & ( op2(e21,e21) != e21
          | ( ( op2(e21,e21) != e20
              | op2(e21,e21) != e20 )
            & ( op2(e21,e21) != e21
              | op2(e21,e21) != e21 )
            & ( op2(e21,e21) != e22
              | op2(e21,e21) != e22 )
            & ( op2(e21,e21) != e23
              | op2(e21,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e22
        & ( op2(e21,e21) != e22
          | ( ( op2(e21,e22) != e20
              | op2(e22,e21) != e20 )
            & ( op2(e21,e22) != e21
              | op2(e22,e21) != e21 )
            & ( op2(e21,e22) != e22
              | op2(e22,e21) != e22 )
            & ( op2(e21,e22) != e23
              | op2(e22,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e23
        & ( op2(e21,e21) != e23
          | ( ( op2(e21,e23) != e20
              | op2(e23,e21) != e20 )
            & ( op2(e21,e23) != e21
              | op2(e23,e21) != e21 )
            & ( op2(e21,e23) != e22
              | op2(e23,e21) != e22 )
            & ( op2(e21,e23) != e23
              | op2(e23,e21) != e23 ) ) ) )
      | ( op2(e22,e22) = e20
        & ( op2(e22,e22) != e20
          | ( ( op2(e22,e20) != e20
              | op2(e20,e22) != e20 )
            & ( op2(e22,e20) != e21
              | op2(e20,e22) != e21 )
            & ( op2(e22,e20) != e22
              | op2(e20,e22) != e22 )
            & ( op2(e22,e20) != e23
              | op2(e20,e22) != e23 ) ) ) )
      | ( op2(e22,e22) = e21
        & ( op2(e22,e22) != e21
          | ( ( op2(e22,e21) != e20
              | op2(e21,e22) != e20 )
            & ( op2(e22,e21) != e21
              | op2(e21,e22) != e21 )
            & ( op2(e22,e21) != e22
              | op2(e21,e22) != e22 )
            & ( op2(e22,e21) != e23
              | op2(e21,e22) != e23 ) ) ) )
      | ( op2(e22,e22) = e22
        & ( op2(e22,e22) != e22
          | ( ( op2(e22,e22) != e20
              | op2(e22,e22) != e20 )
            & ( op2(e22,e22) != e21
              | op2(e22,e22) != e21 )
            & ( op2(e22,e22) != e22
              | op2(e22,e22) != e22 )
            & ( op2(e22,e22) != e23
              | op2(e22,e22) != e23 ) ) ) )
      | ( op2(e22,e22) = e23
        & ( op2(e22,e22) != e23
          | ( ( op2(e22,e23) != e20
              | op2(e23,e22) != e20 )
            & ( op2(e22,e23) != e21
              | op2(e23,e22) != e21 )
            & ( op2(e22,e23) != e22
              | op2(e23,e22) != e22 )
            & ( op2(e22,e23) != e23
              | op2(e23,e22) != e23 ) ) ) )
      | ( op2(e23,e23) = e20
        & ( op2(e23,e23) != e20
          | ( ( op2(e23,e20) != e20
              | op2(e20,e23) != e20 )
            & ( op2(e23,e20) != e21
              | op2(e20,e23) != e21 )
            & ( op2(e23,e20) != e22
              | op2(e20,e23) != e22 )
            & ( op2(e23,e20) != e23
              | op2(e20,e23) != e23 ) ) ) )
      | ( op2(e23,e23) = e21
        & ( op2(e23,e23) != e21
          | ( ( op2(e23,e21) != e20
              | op2(e21,e23) != e20 )
            & ( op2(e23,e21) != e21
              | op2(e21,e23) != e21 )
            & ( op2(e23,e21) != e22
              | op2(e21,e23) != e22 )
            & ( op2(e23,e21) != e23
              | op2(e21,e23) != e23 ) ) ) )
      | ( op2(e23,e23) = e22
        & ( op2(e23,e23) != e22
          | ( ( op2(e23,e22) != e20
              | op2(e22,e23) != e20 )
            & ( op2(e23,e22) != e21
              | op2(e22,e23) != e21 )
            & ( op2(e23,e22) != e22
              | op2(e22,e23) != e22 )
            & ( op2(e23,e22) != e23
              | op2(e22,e23) != e23 ) ) ) ) ) ),
    introduced(predicate_definition,[f259]) ).

fof(f263,plain,
    ( ( pd0_3
      | ( op2(e23,e23) = e23
        & op2(e23,e23) = e23
        & op2(e20,e23) != e20
        & op2(e21,e23) != e21
        & op2(e22,e23) != e22
        & op2(e23,e23) != e23 ) )
    & ( pd0_4
      | ( op2(e23,e23) = op2(e23,e23)
        & op2(e23,e23) != op2(e23,e23)
        & op2(e23,op2(e23,e23)) = e23 ) )
    & ( pd0_5
      | ( op2(e23,e23) = e23
        & ( op2(e23,e23) != e23
          | ( ( op2(e23,e23) != e20
              | op2(e23,e23) != e20 )
            & ( op2(e23,e23) != e21
              | op2(e23,e23) != e21 )
            & ( op2(e23,e23) != e22
              | op2(e23,e23) != e22 )
            & ( op2(e23,e23) != e23
              | op2(e23,e23) != e23 ) ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f259,f262,f261,f260]) ).

fof(f264,plain,
    ( pd0_3
    | op2(e23,e23) = e23 ),
    inference(cnf_transformation,[status(esa)],[f263]) ).

fof(f266,plain,
    ( pd0_3
    | op2(e20,e23) != e20 ),
    inference(cnf_transformation,[status(esa)],[f263]) ).

fof(f267,plain,
    ( pd0_3
    | op2(e21,e23) != e21 ),
    inference(cnf_transformation,[status(esa)],[f263]) ).

fof(f268,plain,
    ( pd0_3
    | op2(e22,e23) != e22 ),
    inference(cnf_transformation,[status(esa)],[f263]) ).

fof(f269,plain,
    ( pd0_3
    | op2(e23,e23) != e23 ),
    inference(cnf_transformation,[status(esa)],[f263]) ).

fof(f270,plain,
    ( pd0_4
    | op2(e23,e23) = op2(e23,e23) ),
    inference(cnf_transformation,[status(esa)],[f263]) ).

fof(f271,plain,
    ( pd0_4
    | op2(e23,e23) != op2(e23,e23) ),
    inference(cnf_transformation,[status(esa)],[f263]) ).

fof(f272,plain,
    ( pd0_4
    | op2(e23,op2(e23,e23)) = e23 ),
    inference(cnf_transformation,[status(esa)],[f263]) ).

fof(f273,plain,
    ( pd0_5
    | op2(e23,e23) = e23 ),
    inference(cnf_transformation,[status(esa)],[f263]) ).

fof(f277,plain,
    ( pd0_5
    | op2(e23,e23) != e23
    | op2(e23,e23) != e23
    | op2(e23,e23) != e23 ),
    inference(cnf_transformation,[status(esa)],[f263]) ).

fof(f278,plain,
    e11 = op1(e10,e10),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f279,plain,
    e12 = op1(op1(e10,op1(e10,e10)),e10),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f280,plain,
    e13 = op1(e10,op1(e10,e10)),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f281,plain,
    e21 = op2(e20,e20),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f282,plain,
    e22 = op2(op2(e20,op2(e20,e20)),e20),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f283,plain,
    e23 = op2(e20,op2(e20,e20)),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f284,plain,
    h1(e10) = e20,
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f285,plain,
    h1(e11) = op2(e20,e20),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f286,plain,
    h1(e12) = op2(op2(e20,op2(e20,e20)),e20),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f287,plain,
    h1(e13) = op2(e20,op2(e20,e20)),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f288,plain,
    h2(e10) = e21,
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f289,plain,
    h2(e11) = op2(e21,e21),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f290,plain,
    h2(e12) = op2(op2(e21,op2(e21,e21)),e21),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f291,plain,
    h2(e13) = op2(e21,op2(e21,e21)),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f292,plain,
    h3(e10) = e22,
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f293,plain,
    h3(e11) = op2(e22,e22),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f294,plain,
    h3(e12) = op2(op2(e22,op2(e22,e22)),e22),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f295,plain,
    h3(e13) = op2(e22,op2(e22,e22)),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f296,plain,
    h4(e10) = e23,
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f297,plain,
    h4(e11) = op2(e23,e23),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f298,plain,
    h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f299,plain,
    h4(e13) = op2(e23,op2(e23,e23)),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f300,plain,
    ( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | ( h1(e10) != e20
        & h1(e11) != e20
        & h1(e12) != e20
        & h1(e13) != e20 )
      | ( h1(e10) != e21
        & h1(e11) != e21
        & h1(e12) != e21
        & h1(e13) != e21 )
      | ( h1(e10) != e22
        & h1(e11) != e22
        & h1(e12) != e22
        & h1(e13) != e22 )
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | ( h2(e10) != e20
        & h2(e11) != e20
        & h2(e12) != e20
        & h2(e13) != e20 )
      | ( h2(e10) != e21
        & h2(e11) != e21
        & h2(e12) != e21
        & h2(e13) != e21 )
      | ( h2(e10) != e22
        & h2(e11) != e22
        & h2(e12) != e22
        & h2(e13) != e22 )
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | ( h3(e10) != e20
        & h3(e11) != e20
        & h3(e12) != e20
        & h3(e13) != e20 )
      | ( h3(e10) != e21
        & h3(e11) != e21
        & h3(e12) != e21
        & h3(e13) != e21 )
      | ( h3(e10) != e22
        & h3(e11) != e22
        & h3(e12) != e22
        & h3(e13) != e22 )
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) )
    & ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | ( h4(e10) != e20
        & h4(e11) != e20
        & h4(e12) != e20
        & h4(e13) != e20 )
      | ( h4(e10) != e21
        & h4(e11) != e21
        & h4(e12) != e21
        & h4(e13) != e21 )
      | ( h4(e10) != e22
        & h4(e11) != e22
        & h4(e12) != e22
        & h4(e13) != e22 )
      | ( h4(e10) != e23
        & h4(e11) != e23
        & h4(e12) != e23
        & h4(e13) != e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f19]) ).

fof(f301,plain,
    ( pd0_6
   => ( h1(e10) != e20
      & h1(e11) != e20
      & h1(e12) != e20
      & h1(e13) != e20 ) ),
    introduced(predicate_definition,[f300]) ).

fof(f302,plain,
    ( pd0_7
   => ( h1(e10) != e21
      & h1(e11) != e21
      & h1(e12) != e21
      & h1(e13) != e21 ) ),
    introduced(predicate_definition,[f300]) ).

fof(f303,plain,
    ( pd0_8
   => ( h1(e10) != e22
      & h1(e11) != e22
      & h1(e12) != e22
      & h1(e13) != e22 ) ),
    introduced(predicate_definition,[f300]) ).

fof(f304,plain,
    ( pd0_9
   => ( h2(e10) != e20
      & h2(e11) != e20
      & h2(e12) != e20
      & h2(e13) != e20 ) ),
    introduced(predicate_definition,[f300]) ).

fof(f305,plain,
    ( pd0_10
   => ( h2(e10) != e21
      & h2(e11) != e21
      & h2(e12) != e21
      & h2(e13) != e21 ) ),
    introduced(predicate_definition,[f300]) ).

fof(f306,plain,
    ( pd0_11
   => ( h2(e10) != e22
      & h2(e11) != e22
      & h2(e12) != e22
      & h2(e13) != e22 ) ),
    introduced(predicate_definition,[f300]) ).

fof(f307,plain,
    ( pd0_12
   => ( h3(e10) != e20
      & h3(e11) != e20
      & h3(e12) != e20
      & h3(e13) != e20 ) ),
    introduced(predicate_definition,[f300]) ).

fof(f308,plain,
    ( pd0_13
   => ( h3(e10) != e21
      & h3(e11) != e21
      & h3(e12) != e21
      & h3(e13) != e21 ) ),
    introduced(predicate_definition,[f300]) ).

fof(f309,plain,
    ( pd0_14
   => ( h3(e10) != e22
      & h3(e11) != e22
      & h3(e12) != e22
      & h3(e13) != e22 ) ),
    introduced(predicate_definition,[f300]) ).

fof(f310,plain,
    ( pd0_15
   => ( h4(e10) != e20
      & h4(e11) != e20
      & h4(e12) != e20
      & h4(e13) != e20 ) ),
    introduced(predicate_definition,[f300]) ).

fof(f311,plain,
    ( pd0_16
   => ( h4(e10) != e21
      & h4(e11) != e21
      & h4(e12) != e21
      & h4(e13) != e21 ) ),
    introduced(predicate_definition,[f300]) ).

fof(f312,plain,
    ( pd0_17
   => ( h4(e10) != e22
      & h4(e11) != e22
      & h4(e12) != e22
      & h4(e13) != e22 ) ),
    introduced(predicate_definition,[f300]) ).

fof(f313,plain,
    ( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | pd0_6
      | pd0_7
      | pd0_8
      | ( h1(e10) != e23
        & h1(e11) != e23
        & h1(e12) != e23
        & h1(e13) != e23 ) )
    & ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | pd0_9
      | pd0_10
      | pd0_11
      | ( h2(e10) != e23
        & h2(e11) != e23
        & h2(e12) != e23
        & h2(e13) != e23 ) )
    & ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | pd0_12
      | pd0_13
      | pd0_14
      | ( h3(e10) != e23
        & h3(e11) != e23
        & h3(e12) != e23
        & h3(e13) != e23 ) )
    & ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | pd0_15
      | pd0_16
      | pd0_17
      | ( h4(e10) != e23
        & h4(e11) != e23
        & h4(e12) != e23
        & h4(e13) != e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f300,f312,f311,f310,f309,f308,f307,f306,f305,f304,f303,f302,f301]) ).

fof(f317,plain,
    ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
    | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
    | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
    | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
    | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
    | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
    | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
    | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
    | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
    | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
    | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | pd0_6
    | pd0_7
    | pd0_8
    | h1(e13) != e23 ),
    inference(cnf_transformation,[status(esa)],[f313]) ).

fof(f318,plain,
    ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
    | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
    | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
    | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
    | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
    | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
    | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
    | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
    | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
    | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
    | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
    | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
    | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
    | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
    | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
    | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
    | pd0_9
    | pd0_10
    | pd0_11
    | h2(e10) != e23 ),
    inference(cnf_transformation,[status(esa)],[f313]) ).

fof(f319,plain,
    ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
    | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
    | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
    | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
    | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
    | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
    | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
    | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
    | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
    | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
    | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
    | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
    | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
    | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
    | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
    | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
    | pd0_9
    | pd0_10
    | pd0_11
    | h2(e11) != e23 ),
    inference(cnf_transformation,[status(esa)],[f313]) ).

fof(f320,plain,
    ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
    | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
    | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
    | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
    | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
    | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
    | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
    | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
    | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
    | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
    | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
    | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
    | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
    | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
    | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
    | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
    | pd0_9
    | pd0_10
    | pd0_11
    | h2(e12) != e23 ),
    inference(cnf_transformation,[status(esa)],[f313]) ).

fof(f330,plain,
    ( ~ pd0_0
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e13) = e10
      & op1(e13,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e11,e10) = e11
      & op1(e10,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e11) = e11
      & op1(e11,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e12) = e11
      & op1(e12,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e13) = e11
      & op1(e13,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e12,e10) = e12
      & op1(e10,e12) = e12
      & op1(e10,e12) != e10
      & op1(e11,e12) != e11
      & op1(e12,e12) != e12
      & op1(e13,e12) != e13 )
    | ( op1(e12,e11) = e12
      & op1(e11,e12) = e12
      & op1(e10,e12) != e10
      & op1(e11,e12) != e11
      & op1(e12,e12) != e12
      & op1(e13,e12) != e13 )
    | ( op1(e12,e12) = e12
      & op1(e12,e12) = e12
      & op1(e10,e12) != e10
      & op1(e11,e12) != e11
      & op1(e12,e12) != e12
      & op1(e13,e12) != e13 )
    | ( op1(e12,e13) = e12
      & op1(e13,e12) = e12
      & op1(e10,e12) != e10
      & op1(e11,e12) != e11
      & op1(e12,e12) != e12
      & op1(e13,e12) != e13 )
    | ( op1(e13,e10) = e13
      & op1(e10,e13) = e13
      & op1(e10,e13) != e10
      & op1(e11,e13) != e11
      & op1(e12,e13) != e12
      & op1(e13,e13) != e13 )
    | ( op1(e13,e11) = e13
      & op1(e11,e13) = e13
      & op1(e10,e13) != e10
      & op1(e11,e13) != e11
      & op1(e12,e13) != e12
      & op1(e13,e13) != e13 )
    | ( op1(e13,e12) = e13
      & op1(e12,e13) = e13
      & op1(e10,e13) != e10
      & op1(e11,e13) != e11
      & op1(e12,e13) != e12
      & op1(e13,e13) != e13 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f241]) ).

fof(f331,plain,
    ( pd0_18
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e12,e10) = e12
        & op1(e10,e12) = e12
        & op1(e10,e12) != e10
        & op1(e11,e12) != e11
        & op1(e12,e12) != e12
        & op1(e13,e12) != e13 )
      | ( op1(e12,e11) = e12
        & op1(e11,e12) = e12
        & op1(e10,e12) != e10
        & op1(e11,e12) != e11
        & op1(e12,e12) != e12
        & op1(e13,e12) != e13 )
      | ( op1(e12,e12) = e12
        & op1(e12,e12) = e12
        & op1(e10,e12) != e10
        & op1(e11,e12) != e11
        & op1(e12,e12) != e12
        & op1(e13,e12) != e13 )
      | ( op1(e12,e13) = e12
        & op1(e13,e12) = e12
        & op1(e10,e12) != e10
        & op1(e11,e12) != e11
        & op1(e12,e12) != e12
        & op1(e13,e12) != e13 )
      | ( op1(e13,e10) = e13
        & op1(e10,e13) = e13
        & op1(e10,e13) != e10
        & op1(e11,e13) != e11
        & op1(e12,e13) != e12
        & op1(e13,e13) != e13 )
      | ( op1(e13,e11) = e13
        & op1(e11,e13) = e13
        & op1(e10,e13) != e10
        & op1(e11,e13) != e11
        & op1(e12,e13) != e12
        & op1(e13,e13) != e13 ) ) ),
    introduced(predicate_definition,[f330]) ).

fof(f332,plain,
    ( ~ pd0_0
    | pd0_18
    | ( op1(e13,e12) = e13
      & op1(e12,e13) = e13
      & op1(e10,e13) != e10
      & op1(e11,e13) != e11
      & op1(e12,e13) != e12
      & op1(e13,e13) != e13 ) ),
    inference(formula_renaming,[status(thm)],[f330,f331]) ).

fof(f333,plain,
    ( ~ pd0_0
    | pd0_18
    | op1(e13,e12) = e13 ),
    inference(cnf_transformation,[status(esa)],[f332]) ).

fof(f334,plain,
    ( ~ pd0_0
    | pd0_18
    | op1(e12,e13) = e13 ),
    inference(cnf_transformation,[status(esa)],[f332]) ).

fof(f335,plain,
    ( ~ pd0_0
    | pd0_18
    | op1(e10,e13) != e10 ),
    inference(cnf_transformation,[status(esa)],[f332]) ).

fof(f336,plain,
    ( ~ pd0_0
    | pd0_18
    | op1(e11,e13) != e11 ),
    inference(cnf_transformation,[status(esa)],[f332]) ).

fof(f338,plain,
    ( ~ pd0_0
    | pd0_18
    | op1(e13,e13) != e13 ),
    inference(cnf_transformation,[status(esa)],[f332]) ).

fof(f339,plain,
    ( ~ pd0_1
    | ( op1(e10,e10) = op1(e10,e10)
      & op1(e10,e10) != op1(e10,e10)
      & op1(e10,op1(e10,e10)) = e10 )
    | ( op1(e11,e10) = op1(e10,e11)
      & op1(e11,e11) != op1(e10,e11)
      & op1(e11,op1(e10,e11)) = e11 )
    | ( op1(e12,e10) = op1(e10,e12)
      & op1(e12,e12) != op1(e10,e12)
      & op1(e12,op1(e10,e12)) = e12 )
    | ( op1(e13,e10) = op1(e10,e13)
      & op1(e13,e13) != op1(e10,e13)
      & op1(e13,op1(e10,e13)) = e13 )
    | ( op1(e10,e11) = op1(e11,e10)
      & op1(e10,e10) != op1(e11,e10)
      & op1(e10,op1(e11,e10)) = e10 )
    | ( op1(e11,e11) = op1(e11,e11)
      & op1(e11,e11) != op1(e11,e11)
      & op1(e11,op1(e11,e11)) = e11 )
    | ( op1(e12,e11) = op1(e11,e12)
      & op1(e12,e12) != op1(e11,e12)
      & op1(e12,op1(e11,e12)) = e12 )
    | ( op1(e13,e11) = op1(e11,e13)
      & op1(e13,e13) != op1(e11,e13)
      & op1(e13,op1(e11,e13)) = e13 )
    | ( op1(e10,e12) = op1(e12,e10)
      & op1(e10,e10) != op1(e12,e10)
      & op1(e10,op1(e12,e10)) = e10 )
    | ( op1(e11,e12) = op1(e12,e11)
      & op1(e11,e11) != op1(e12,e11)
      & op1(e11,op1(e12,e11)) = e11 )
    | ( op1(e12,e12) = op1(e12,e12)
      & op1(e12,e12) != op1(e12,e12)
      & op1(e12,op1(e12,e12)) = e12 )
    | ( op1(e13,e12) = op1(e12,e13)
      & op1(e13,e13) != op1(e12,e13)
      & op1(e13,op1(e12,e13)) = e13 )
    | ( op1(e10,e13) = op1(e13,e10)
      & op1(e10,e10) != op1(e13,e10)
      & op1(e10,op1(e13,e10)) = e10 )
    | ( op1(e11,e13) = op1(e13,e11)
      & op1(e11,e11) != op1(e13,e11)
      & op1(e11,op1(e13,e11)) = e11 )
    | ( op1(e12,e13) = op1(e13,e12)
      & op1(e12,e12) != op1(e13,e12)
      & op1(e12,op1(e13,e12)) = e12 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f242]) ).

fof(f340,plain,
    ( pd0_19
   => ( ( op1(e10,e10) = op1(e10,e10)
        & op1(e10,e10) != op1(e10,e10)
        & op1(e10,op1(e10,e10)) = e10 )
      | ( op1(e11,e10) = op1(e10,e11)
        & op1(e11,e11) != op1(e10,e11)
        & op1(e11,op1(e10,e11)) = e11 )
      | ( op1(e12,e10) = op1(e10,e12)
        & op1(e12,e12) != op1(e10,e12)
        & op1(e12,op1(e10,e12)) = e12 )
      | ( op1(e13,e10) = op1(e10,e13)
        & op1(e13,e13) != op1(e10,e13)
        & op1(e13,op1(e10,e13)) = e13 )
      | ( op1(e10,e11) = op1(e11,e10)
        & op1(e10,e10) != op1(e11,e10)
        & op1(e10,op1(e11,e10)) = e10 )
      | ( op1(e11,e11) = op1(e11,e11)
        & op1(e11,e11) != op1(e11,e11)
        & op1(e11,op1(e11,e11)) = e11 )
      | ( op1(e12,e11) = op1(e11,e12)
        & op1(e12,e12) != op1(e11,e12)
        & op1(e12,op1(e11,e12)) = e12 )
      | ( op1(e13,e11) = op1(e11,e13)
        & op1(e13,e13) != op1(e11,e13)
        & op1(e13,op1(e11,e13)) = e13 )
      | ( op1(e10,e12) = op1(e12,e10)
        & op1(e10,e10) != op1(e12,e10)
        & op1(e10,op1(e12,e10)) = e10 )
      | ( op1(e11,e12) = op1(e12,e11)
        & op1(e11,e11) != op1(e12,e11)
        & op1(e11,op1(e12,e11)) = e11 )
      | ( op1(e12,e12) = op1(e12,e12)
        & op1(e12,e12) != op1(e12,e12)
        & op1(e12,op1(e12,e12)) = e12 )
      | ( op1(e13,e12) = op1(e12,e13)
        & op1(e13,e13) != op1(e12,e13)
        & op1(e13,op1(e12,e13)) = e13 )
      | ( op1(e10,e13) = op1(e13,e10)
        & op1(e10,e10) != op1(e13,e10)
        & op1(e10,op1(e13,e10)) = e10 )
      | ( op1(e11,e13) = op1(e13,e11)
        & op1(e11,e11) != op1(e13,e11)
        & op1(e11,op1(e13,e11)) = e11 ) ) ),
    introduced(predicate_definition,[f339]) ).

fof(f341,plain,
    ( ~ pd0_1
    | pd0_19
    | ( op1(e12,e13) = op1(e13,e12)
      & op1(e12,e12) != op1(e13,e12)
      & op1(e12,op1(e13,e12)) = e12 ) ),
    inference(formula_renaming,[status(thm)],[f339,f340]) ).

fof(f342,plain,
    ( ~ pd0_1
    | pd0_19
    | op1(e12,e13) = op1(e13,e12) ),
    inference(cnf_transformation,[status(esa)],[f341]) ).

fof(f345,plain,
    ( ~ pd0_2
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | ( ( op1(e10,e10) != e10
            | op1(e10,e10) != e10 )
          & ( op1(e10,e10) != e11
            | op1(e10,e10) != e11 )
          & ( op1(e10,e10) != e12
            | op1(e10,e10) != e12 )
          & ( op1(e10,e10) != e13
            | op1(e10,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | ( ( op1(e10,e11) != e10
            | op1(e11,e10) != e10 )
          & ( op1(e10,e11) != e11
            | op1(e11,e10) != e11 )
          & ( op1(e10,e11) != e12
            | op1(e11,e10) != e12 )
          & ( op1(e10,e11) != e13
            | op1(e11,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | ( ( op1(e10,e12) != e10
            | op1(e12,e10) != e10 )
          & ( op1(e10,e12) != e11
            | op1(e12,e10) != e11 )
          & ( op1(e10,e12) != e12
            | op1(e12,e10) != e12 )
          & ( op1(e10,e12) != e13
            | op1(e12,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e13
      & ( op1(e10,e10) != e13
        | ( ( op1(e10,e13) != e10
            | op1(e13,e10) != e10 )
          & ( op1(e10,e13) != e11
            | op1(e13,e10) != e11 )
          & ( op1(e10,e13) != e12
            | op1(e13,e10) != e12 )
          & ( op1(e10,e13) != e13
            | op1(e13,e10) != e13 ) ) ) )
    | ( op1(e11,e11) = e10
      & ( op1(e11,e11) != e10
        | ( ( op1(e11,e10) != e10
            | op1(e10,e11) != e10 )
          & ( op1(e11,e10) != e11
            | op1(e10,e11) != e11 )
          & ( op1(e11,e10) != e12
            | op1(e10,e11) != e12 )
          & ( op1(e11,e10) != e13
            | op1(e10,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e11
      & ( op1(e11,e11) != e11
        | ( ( op1(e11,e11) != e10
            | op1(e11,e11) != e10 )
          & ( op1(e11,e11) != e11
            | op1(e11,e11) != e11 )
          & ( op1(e11,e11) != e12
            | op1(e11,e11) != e12 )
          & ( op1(e11,e11) != e13
            | op1(e11,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e12
      & ( op1(e11,e11) != e12
        | ( ( op1(e11,e12) != e10
            | op1(e12,e11) != e10 )
          & ( op1(e11,e12) != e11
            | op1(e12,e11) != e11 )
          & ( op1(e11,e12) != e12
            | op1(e12,e11) != e12 )
          & ( op1(e11,e12) != e13
            | op1(e12,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e13
      & ( op1(e11,e11) != e13
        | ( ( op1(e11,e13) != e10
            | op1(e13,e11) != e10 )
          & ( op1(e11,e13) != e11
            | op1(e13,e11) != e11 )
          & ( op1(e11,e13) != e12
            | op1(e13,e11) != e12 )
          & ( op1(e11,e13) != e13
            | op1(e13,e11) != e13 ) ) ) )
    | ( op1(e12,e12) = e10
      & ( op1(e12,e12) != e10
        | ( ( op1(e12,e10) != e10
            | op1(e10,e12) != e10 )
          & ( op1(e12,e10) != e11
            | op1(e10,e12) != e11 )
          & ( op1(e12,e10) != e12
            | op1(e10,e12) != e12 )
          & ( op1(e12,e10) != e13
            | op1(e10,e12) != e13 ) ) ) )
    | ( op1(e12,e12) = e11
      & ( op1(e12,e12) != e11
        | ( ( op1(e12,e11) != e10
            | op1(e11,e12) != e10 )
          & ( op1(e12,e11) != e11
            | op1(e11,e12) != e11 )
          & ( op1(e12,e11) != e12
            | op1(e11,e12) != e12 )
          & ( op1(e12,e11) != e13
            | op1(e11,e12) != e13 ) ) ) )
    | ( op1(e12,e12) = e12
      & ( op1(e12,e12) != e12
        | ( ( op1(e12,e12) != e10
            | op1(e12,e12) != e10 )
          & ( op1(e12,e12) != e11
            | op1(e12,e12) != e11 )
          & ( op1(e12,e12) != e12
            | op1(e12,e12) != e12 )
          & ( op1(e12,e12) != e13
            | op1(e12,e12) != e13 ) ) ) )
    | ( op1(e12,e12) = e13
      & ( op1(e12,e12) != e13
        | ( ( op1(e12,e13) != e10
            | op1(e13,e12) != e10 )
          & ( op1(e12,e13) != e11
            | op1(e13,e12) != e11 )
          & ( op1(e12,e13) != e12
            | op1(e13,e12) != e12 )
          & ( op1(e12,e13) != e13
            | op1(e13,e12) != e13 ) ) ) )
    | ( op1(e13,e13) = e10
      & ( op1(e13,e13) != e10
        | ( ( op1(e13,e10) != e10
            | op1(e10,e13) != e10 )
          & ( op1(e13,e10) != e11
            | op1(e10,e13) != e11 )
          & ( op1(e13,e10) != e12
            | op1(e10,e13) != e12 )
          & ( op1(e13,e10) != e13
            | op1(e10,e13) != e13 ) ) ) )
    | ( op1(e13,e13) = e11
      & ( op1(e13,e13) != e11
        | ( ( op1(e13,e11) != e10
            | op1(e11,e13) != e10 )
          & ( op1(e13,e11) != e11
            | op1(e11,e13) != e11 )
          & ( op1(e13,e11) != e12
            | op1(e11,e13) != e12 )
          & ( op1(e13,e11) != e13
            | op1(e11,e13) != e13 ) ) ) )
    | ( op1(e13,e13) = e12
      & ( op1(e13,e13) != e12
        | ( ( op1(e13,e12) != e10
            | op1(e12,e13) != e10 )
          & ( op1(e13,e12) != e11
            | op1(e12,e13) != e11 )
          & ( op1(e13,e12) != e12
            | op1(e12,e13) != e12 )
          & ( op1(e13,e12) != e13
            | op1(e12,e13) != e13 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f243]) ).

fof(f346,plain,
    ( pd0_20
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | ( ( op1(e10,e10) != e10
              | op1(e10,e10) != e10 )
            & ( op1(e10,e10) != e11
              | op1(e10,e10) != e11 )
            & ( op1(e10,e10) != e12
              | op1(e10,e10) != e12 )
            & ( op1(e10,e10) != e13
              | op1(e10,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | ( ( op1(e10,e11) != e10
              | op1(e11,e10) != e10 )
            & ( op1(e10,e11) != e11
              | op1(e11,e10) != e11 )
            & ( op1(e10,e11) != e12
              | op1(e11,e10) != e12 )
            & ( op1(e10,e11) != e13
              | op1(e11,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | ( ( op1(e10,e12) != e10
              | op1(e12,e10) != e10 )
            & ( op1(e10,e12) != e11
              | op1(e12,e10) != e11 )
            & ( op1(e10,e12) != e12
              | op1(e12,e10) != e12 )
            & ( op1(e10,e12) != e13
              | op1(e12,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e13
        & ( op1(e10,e10) != e13
          | ( ( op1(e10,e13) != e10
              | op1(e13,e10) != e10 )
            & ( op1(e10,e13) != e11
              | op1(e13,e10) != e11 )
            & ( op1(e10,e13) != e12
              | op1(e13,e10) != e12 )
            & ( op1(e10,e13) != e13
              | op1(e13,e10) != e13 ) ) ) )
      | ( op1(e11,e11) = e10
        & ( op1(e11,e11) != e10
          | ( ( op1(e11,e10) != e10
              | op1(e10,e11) != e10 )
            & ( op1(e11,e10) != e11
              | op1(e10,e11) != e11 )
            & ( op1(e11,e10) != e12
              | op1(e10,e11) != e12 )
            & ( op1(e11,e10) != e13
              | op1(e10,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e11
        & ( op1(e11,e11) != e11
          | ( ( op1(e11,e11) != e10
              | op1(e11,e11) != e10 )
            & ( op1(e11,e11) != e11
              | op1(e11,e11) != e11 )
            & ( op1(e11,e11) != e12
              | op1(e11,e11) != e12 )
            & ( op1(e11,e11) != e13
              | op1(e11,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e12
        & ( op1(e11,e11) != e12
          | ( ( op1(e11,e12) != e10
              | op1(e12,e11) != e10 )
            & ( op1(e11,e12) != e11
              | op1(e12,e11) != e11 )
            & ( op1(e11,e12) != e12
              | op1(e12,e11) != e12 )
            & ( op1(e11,e12) != e13
              | op1(e12,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e13
        & ( op1(e11,e11) != e13
          | ( ( op1(e11,e13) != e10
              | op1(e13,e11) != e10 )
            & ( op1(e11,e13) != e11
              | op1(e13,e11) != e11 )
            & ( op1(e11,e13) != e12
              | op1(e13,e11) != e12 )
            & ( op1(e11,e13) != e13
              | op1(e13,e11) != e13 ) ) ) )
      | ( op1(e12,e12) = e10
        & ( op1(e12,e12) != e10
          | ( ( op1(e12,e10) != e10
              | op1(e10,e12) != e10 )
            & ( op1(e12,e10) != e11
              | op1(e10,e12) != e11 )
            & ( op1(e12,e10) != e12
              | op1(e10,e12) != e12 )
            & ( op1(e12,e10) != e13
              | op1(e10,e12) != e13 ) ) ) )
      | ( op1(e12,e12) = e11
        & ( op1(e12,e12) != e11
          | ( ( op1(e12,e11) != e10
              | op1(e11,e12) != e10 )
            & ( op1(e12,e11) != e11
              | op1(e11,e12) != e11 )
            & ( op1(e12,e11) != e12
              | op1(e11,e12) != e12 )
            & ( op1(e12,e11) != e13
              | op1(e11,e12) != e13 ) ) ) )
      | ( op1(e12,e12) = e12
        & ( op1(e12,e12) != e12
          | ( ( op1(e12,e12) != e10
              | op1(e12,e12) != e10 )
            & ( op1(e12,e12) != e11
              | op1(e12,e12) != e11 )
            & ( op1(e12,e12) != e12
              | op1(e12,e12) != e12 )
            & ( op1(e12,e12) != e13
              | op1(e12,e12) != e13 ) ) ) )
      | ( op1(e12,e12) = e13
        & ( op1(e12,e12) != e13
          | ( ( op1(e12,e13) != e10
              | op1(e13,e12) != e10 )
            & ( op1(e12,e13) != e11
              | op1(e13,e12) != e11 )
            & ( op1(e12,e13) != e12
              | op1(e13,e12) != e12 )
            & ( op1(e12,e13) != e13
              | op1(e13,e12) != e13 ) ) ) )
      | ( op1(e13,e13) = e10
        & ( op1(e13,e13) != e10
          | ( ( op1(e13,e10) != e10
              | op1(e10,e13) != e10 )
            & ( op1(e13,e10) != e11
              | op1(e10,e13) != e11 )
            & ( op1(e13,e10) != e12
              | op1(e10,e13) != e12 )
            & ( op1(e13,e10) != e13
              | op1(e10,e13) != e13 ) ) ) )
      | ( op1(e13,e13) = e11
        & ( op1(e13,e13) != e11
          | ( ( op1(e13,e11) != e10
              | op1(e11,e13) != e10 )
            & ( op1(e13,e11) != e11
              | op1(e11,e13) != e11 )
            & ( op1(e13,e11) != e12
              | op1(e11,e13) != e12 )
            & ( op1(e13,e11) != e13
              | op1(e11,e13) != e13 ) ) ) ) ) ),
    introduced(predicate_definition,[f345]) ).

fof(f347,plain,
    ( ~ pd0_2
    | pd0_20
    | ( op1(e13,e13) = e12
      & ( op1(e13,e13) != e12
        | ( ( op1(e13,e12) != e10
            | op1(e12,e13) != e10 )
          & ( op1(e13,e12) != e11
            | op1(e12,e13) != e11 )
          & ( op1(e13,e12) != e12
            | op1(e12,e13) != e12 )
          & ( op1(e13,e12) != e13
            | op1(e12,e13) != e13 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f345,f346]) ).

fof(f348,plain,
    ( ~ pd0_2
    | pd0_20
    | op1(e13,e13) = e12 ),
    inference(cnf_transformation,[status(esa)],[f347]) ).

fof(f353,plain,
    ( ~ pd0_3
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e23) = e20
      & op2(e23,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e21,e20) = e21
      & op2(e20,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e21) = e21
      & op2(e21,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e22) = e21
      & op2(e22,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e23) = e21
      & op2(e23,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e22,e20) = e22
      & op2(e20,e22) = e22
      & op2(e20,e22) != e20
      & op2(e21,e22) != e21
      & op2(e22,e22) != e22
      & op2(e23,e22) != e23 )
    | ( op2(e22,e21) = e22
      & op2(e21,e22) = e22
      & op2(e20,e22) != e20
      & op2(e21,e22) != e21
      & op2(e22,e22) != e22
      & op2(e23,e22) != e23 )
    | ( op2(e22,e22) = e22
      & op2(e22,e22) = e22
      & op2(e20,e22) != e20
      & op2(e21,e22) != e21
      & op2(e22,e22) != e22
      & op2(e23,e22) != e23 )
    | ( op2(e22,e23) = e22
      & op2(e23,e22) = e22
      & op2(e20,e22) != e20
      & op2(e21,e22) != e21
      & op2(e22,e22) != e22
      & op2(e23,e22) != e23 )
    | ( op2(e23,e20) = e23
      & op2(e20,e23) = e23
      & op2(e20,e23) != e20
      & op2(e21,e23) != e21
      & op2(e22,e23) != e22
      & op2(e23,e23) != e23 )
    | ( op2(e23,e21) = e23
      & op2(e21,e23) = e23
      & op2(e20,e23) != e20
      & op2(e21,e23) != e21
      & op2(e22,e23) != e22
      & op2(e23,e23) != e23 )
    | ( op2(e23,e22) = e23
      & op2(e22,e23) = e23
      & op2(e20,e23) != e20
      & op2(e21,e23) != e21
      & op2(e22,e23) != e22
      & op2(e23,e23) != e23 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f260]) ).

fof(f354,plain,
    ( pd0_21
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e23) = e21
        & op2(e23,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e22,e20) = e22
        & op2(e20,e22) = e22
        & op2(e20,e22) != e20
        & op2(e21,e22) != e21
        & op2(e22,e22) != e22
        & op2(e23,e22) != e23 )
      | ( op2(e22,e21) = e22
        & op2(e21,e22) = e22
        & op2(e20,e22) != e20
        & op2(e21,e22) != e21
        & op2(e22,e22) != e22
        & op2(e23,e22) != e23 )
      | ( op2(e22,e22) = e22
        & op2(e22,e22) = e22
        & op2(e20,e22) != e20
        & op2(e21,e22) != e21
        & op2(e22,e22) != e22
        & op2(e23,e22) != e23 )
      | ( op2(e22,e23) = e22
        & op2(e23,e22) = e22
        & op2(e20,e22) != e20
        & op2(e21,e22) != e21
        & op2(e22,e22) != e22
        & op2(e23,e22) != e23 )
      | ( op2(e23,e20) = e23
        & op2(e20,e23) = e23
        & op2(e20,e23) != e20
        & op2(e21,e23) != e21
        & op2(e22,e23) != e22
        & op2(e23,e23) != e23 )
      | ( op2(e23,e21) = e23
        & op2(e21,e23) = e23
        & op2(e20,e23) != e20
        & op2(e21,e23) != e21
        & op2(e22,e23) != e22
        & op2(e23,e23) != e23 ) ) ),
    introduced(predicate_definition,[f353]) ).

fof(f355,plain,
    ( ~ pd0_3
    | pd0_21
    | ( op2(e23,e22) = e23
      & op2(e22,e23) = e23
      & op2(e20,e23) != e20
      & op2(e21,e23) != e21
      & op2(e22,e23) != e22
      & op2(e23,e23) != e23 ) ),
    inference(formula_renaming,[status(thm)],[f353,f354]) ).

fof(f356,plain,
    ( ~ pd0_3
    | pd0_21
    | op2(e23,e22) = e23 ),
    inference(cnf_transformation,[status(esa)],[f355]) ).

fof(f357,plain,
    ( ~ pd0_3
    | pd0_21
    | op2(e22,e23) = e23 ),
    inference(cnf_transformation,[status(esa)],[f355]) ).

fof(f358,plain,
    ( ~ pd0_3
    | pd0_21
    | op2(e20,e23) != e20 ),
    inference(cnf_transformation,[status(esa)],[f355]) ).

fof(f359,plain,
    ( ~ pd0_3
    | pd0_21
    | op2(e21,e23) != e21 ),
    inference(cnf_transformation,[status(esa)],[f355]) ).

fof(f362,plain,
    ( ~ pd0_4
    | ( op2(e20,e20) = op2(e20,e20)
      & op2(e20,e20) != op2(e20,e20)
      & op2(e20,op2(e20,e20)) = e20 )
    | ( op2(e21,e20) = op2(e20,e21)
      & op2(e21,e21) != op2(e20,e21)
      & op2(e21,op2(e20,e21)) = e21 )
    | ( op2(e22,e20) = op2(e20,e22)
      & op2(e22,e22) != op2(e20,e22)
      & op2(e22,op2(e20,e22)) = e22 )
    | ( op2(e23,e20) = op2(e20,e23)
      & op2(e23,e23) != op2(e20,e23)
      & op2(e23,op2(e20,e23)) = e23 )
    | ( op2(e20,e21) = op2(e21,e20)
      & op2(e20,e20) != op2(e21,e20)
      & op2(e20,op2(e21,e20)) = e20 )
    | ( op2(e21,e21) = op2(e21,e21)
      & op2(e21,e21) != op2(e21,e21)
      & op2(e21,op2(e21,e21)) = e21 )
    | ( op2(e22,e21) = op2(e21,e22)
      & op2(e22,e22) != op2(e21,e22)
      & op2(e22,op2(e21,e22)) = e22 )
    | ( op2(e23,e21) = op2(e21,e23)
      & op2(e23,e23) != op2(e21,e23)
      & op2(e23,op2(e21,e23)) = e23 )
    | ( op2(e20,e22) = op2(e22,e20)
      & op2(e20,e20) != op2(e22,e20)
      & op2(e20,op2(e22,e20)) = e20 )
    | ( op2(e21,e22) = op2(e22,e21)
      & op2(e21,e21) != op2(e22,e21)
      & op2(e21,op2(e22,e21)) = e21 )
    | ( op2(e22,e22) = op2(e22,e22)
      & op2(e22,e22) != op2(e22,e22)
      & op2(e22,op2(e22,e22)) = e22 )
    | ( op2(e23,e22) = op2(e22,e23)
      & op2(e23,e23) != op2(e22,e23)
      & op2(e23,op2(e22,e23)) = e23 )
    | ( op2(e20,e23) = op2(e23,e20)
      & op2(e20,e20) != op2(e23,e20)
      & op2(e20,op2(e23,e20)) = e20 )
    | ( op2(e21,e23) = op2(e23,e21)
      & op2(e21,e21) != op2(e23,e21)
      & op2(e21,op2(e23,e21)) = e21 )
    | ( op2(e22,e23) = op2(e23,e22)
      & op2(e22,e22) != op2(e23,e22)
      & op2(e22,op2(e23,e22)) = e22 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f261]) ).

fof(f363,plain,
    ( pd0_22
   => ( ( op2(e20,e20) = op2(e20,e20)
        & op2(e20,e20) != op2(e20,e20)
        & op2(e20,op2(e20,e20)) = e20 )
      | ( op2(e21,e20) = op2(e20,e21)
        & op2(e21,e21) != op2(e20,e21)
        & op2(e21,op2(e20,e21)) = e21 )
      | ( op2(e22,e20) = op2(e20,e22)
        & op2(e22,e22) != op2(e20,e22)
        & op2(e22,op2(e20,e22)) = e22 )
      | ( op2(e23,e20) = op2(e20,e23)
        & op2(e23,e23) != op2(e20,e23)
        & op2(e23,op2(e20,e23)) = e23 )
      | ( op2(e20,e21) = op2(e21,e20)
        & op2(e20,e20) != op2(e21,e20)
        & op2(e20,op2(e21,e20)) = e20 )
      | ( op2(e21,e21) = op2(e21,e21)
        & op2(e21,e21) != op2(e21,e21)
        & op2(e21,op2(e21,e21)) = e21 )
      | ( op2(e22,e21) = op2(e21,e22)
        & op2(e22,e22) != op2(e21,e22)
        & op2(e22,op2(e21,e22)) = e22 )
      | ( op2(e23,e21) = op2(e21,e23)
        & op2(e23,e23) != op2(e21,e23)
        & op2(e23,op2(e21,e23)) = e23 )
      | ( op2(e20,e22) = op2(e22,e20)
        & op2(e20,e20) != op2(e22,e20)
        & op2(e20,op2(e22,e20)) = e20 )
      | ( op2(e21,e22) = op2(e22,e21)
        & op2(e21,e21) != op2(e22,e21)
        & op2(e21,op2(e22,e21)) = e21 )
      | ( op2(e22,e22) = op2(e22,e22)
        & op2(e22,e22) != op2(e22,e22)
        & op2(e22,op2(e22,e22)) = e22 )
      | ( op2(e23,e22) = op2(e22,e23)
        & op2(e23,e23) != op2(e22,e23)
        & op2(e23,op2(e22,e23)) = e23 )
      | ( op2(e20,e23) = op2(e23,e20)
        & op2(e20,e20) != op2(e23,e20)
        & op2(e20,op2(e23,e20)) = e20 )
      | ( op2(e21,e23) = op2(e23,e21)
        & op2(e21,e21) != op2(e23,e21)
        & op2(e21,op2(e23,e21)) = e21 ) ) ),
    introduced(predicate_definition,[f362]) ).

fof(f364,plain,
    ( ~ pd0_4
    | pd0_22
    | ( op2(e22,e23) = op2(e23,e22)
      & op2(e22,e22) != op2(e23,e22)
      & op2(e22,op2(e23,e22)) = e22 ) ),
    inference(formula_renaming,[status(thm)],[f362,f363]) ).

fof(f365,plain,
    ( ~ pd0_4
    | pd0_22
    | op2(e22,e23) = op2(e23,e22) ),
    inference(cnf_transformation,[status(esa)],[f364]) ).

fof(f367,plain,
    ( ~ pd0_4
    | pd0_22
    | op2(e22,op2(e23,e22)) = e22 ),
    inference(cnf_transformation,[status(esa)],[f364]) ).

fof(f368,plain,
    ( ~ pd0_5
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | ( ( op2(e20,e20) != e20
            | op2(e20,e20) != e20 )
          & ( op2(e20,e20) != e21
            | op2(e20,e20) != e21 )
          & ( op2(e20,e20) != e22
            | op2(e20,e20) != e22 )
          & ( op2(e20,e20) != e23
            | op2(e20,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | ( ( op2(e20,e21) != e20
            | op2(e21,e20) != e20 )
          & ( op2(e20,e21) != e21
            | op2(e21,e20) != e21 )
          & ( op2(e20,e21) != e22
            | op2(e21,e20) != e22 )
          & ( op2(e20,e21) != e23
            | op2(e21,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | ( ( op2(e20,e22) != e20
            | op2(e22,e20) != e20 )
          & ( op2(e20,e22) != e21
            | op2(e22,e20) != e21 )
          & ( op2(e20,e22) != e22
            | op2(e22,e20) != e22 )
          & ( op2(e20,e22) != e23
            | op2(e22,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e23
      & ( op2(e20,e20) != e23
        | ( ( op2(e20,e23) != e20
            | op2(e23,e20) != e20 )
          & ( op2(e20,e23) != e21
            | op2(e23,e20) != e21 )
          & ( op2(e20,e23) != e22
            | op2(e23,e20) != e22 )
          & ( op2(e20,e23) != e23
            | op2(e23,e20) != e23 ) ) ) )
    | ( op2(e21,e21) = e20
      & ( op2(e21,e21) != e20
        | ( ( op2(e21,e20) != e20
            | op2(e20,e21) != e20 )
          & ( op2(e21,e20) != e21
            | op2(e20,e21) != e21 )
          & ( op2(e21,e20) != e22
            | op2(e20,e21) != e22 )
          & ( op2(e21,e20) != e23
            | op2(e20,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e21
      & ( op2(e21,e21) != e21
        | ( ( op2(e21,e21) != e20
            | op2(e21,e21) != e20 )
          & ( op2(e21,e21) != e21
            | op2(e21,e21) != e21 )
          & ( op2(e21,e21) != e22
            | op2(e21,e21) != e22 )
          & ( op2(e21,e21) != e23
            | op2(e21,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e22
      & ( op2(e21,e21) != e22
        | ( ( op2(e21,e22) != e20
            | op2(e22,e21) != e20 )
          & ( op2(e21,e22) != e21
            | op2(e22,e21) != e21 )
          & ( op2(e21,e22) != e22
            | op2(e22,e21) != e22 )
          & ( op2(e21,e22) != e23
            | op2(e22,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e23
      & ( op2(e21,e21) != e23
        | ( ( op2(e21,e23) != e20
            | op2(e23,e21) != e20 )
          & ( op2(e21,e23) != e21
            | op2(e23,e21) != e21 )
          & ( op2(e21,e23) != e22
            | op2(e23,e21) != e22 )
          & ( op2(e21,e23) != e23
            | op2(e23,e21) != e23 ) ) ) )
    | ( op2(e22,e22) = e20
      & ( op2(e22,e22) != e20
        | ( ( op2(e22,e20) != e20
            | op2(e20,e22) != e20 )
          & ( op2(e22,e20) != e21
            | op2(e20,e22) != e21 )
          & ( op2(e22,e20) != e22
            | op2(e20,e22) != e22 )
          & ( op2(e22,e20) != e23
            | op2(e20,e22) != e23 ) ) ) )
    | ( op2(e22,e22) = e21
      & ( op2(e22,e22) != e21
        | ( ( op2(e22,e21) != e20
            | op2(e21,e22) != e20 )
          & ( op2(e22,e21) != e21
            | op2(e21,e22) != e21 )
          & ( op2(e22,e21) != e22
            | op2(e21,e22) != e22 )
          & ( op2(e22,e21) != e23
            | op2(e21,e22) != e23 ) ) ) )
    | ( op2(e22,e22) = e22
      & ( op2(e22,e22) != e22
        | ( ( op2(e22,e22) != e20
            | op2(e22,e22) != e20 )
          & ( op2(e22,e22) != e21
            | op2(e22,e22) != e21 )
          & ( op2(e22,e22) != e22
            | op2(e22,e22) != e22 )
          & ( op2(e22,e22) != e23
            | op2(e22,e22) != e23 ) ) ) )
    | ( op2(e22,e22) = e23
      & ( op2(e22,e22) != e23
        | ( ( op2(e22,e23) != e20
            | op2(e23,e22) != e20 )
          & ( op2(e22,e23) != e21
            | op2(e23,e22) != e21 )
          & ( op2(e22,e23) != e22
            | op2(e23,e22) != e22 )
          & ( op2(e22,e23) != e23
            | op2(e23,e22) != e23 ) ) ) )
    | ( op2(e23,e23) = e20
      & ( op2(e23,e23) != e20
        | ( ( op2(e23,e20) != e20
            | op2(e20,e23) != e20 )
          & ( op2(e23,e20) != e21
            | op2(e20,e23) != e21 )
          & ( op2(e23,e20) != e22
            | op2(e20,e23) != e22 )
          & ( op2(e23,e20) != e23
            | op2(e20,e23) != e23 ) ) ) )
    | ( op2(e23,e23) = e21
      & ( op2(e23,e23) != e21
        | ( ( op2(e23,e21) != e20
            | op2(e21,e23) != e20 )
          & ( op2(e23,e21) != e21
            | op2(e21,e23) != e21 )
          & ( op2(e23,e21) != e22
            | op2(e21,e23) != e22 )
          & ( op2(e23,e21) != e23
            | op2(e21,e23) != e23 ) ) ) )
    | ( op2(e23,e23) = e22
      & ( op2(e23,e23) != e22
        | ( ( op2(e23,e22) != e20
            | op2(e22,e23) != e20 )
          & ( op2(e23,e22) != e21
            | op2(e22,e23) != e21 )
          & ( op2(e23,e22) != e22
            | op2(e22,e23) != e22 )
          & ( op2(e23,e22) != e23
            | op2(e22,e23) != e23 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f262]) ).

fof(f369,plain,
    ( pd0_23
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | ( ( op2(e20,e20) != e20
              | op2(e20,e20) != e20 )
            & ( op2(e20,e20) != e21
              | op2(e20,e20) != e21 )
            & ( op2(e20,e20) != e22
              | op2(e20,e20) != e22 )
            & ( op2(e20,e20) != e23
              | op2(e20,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | ( ( op2(e20,e21) != e20
              | op2(e21,e20) != e20 )
            & ( op2(e20,e21) != e21
              | op2(e21,e20) != e21 )
            & ( op2(e20,e21) != e22
              | op2(e21,e20) != e22 )
            & ( op2(e20,e21) != e23
              | op2(e21,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | ( ( op2(e20,e22) != e20
              | op2(e22,e20) != e20 )
            & ( op2(e20,e22) != e21
              | op2(e22,e20) != e21 )
            & ( op2(e20,e22) != e22
              | op2(e22,e20) != e22 )
            & ( op2(e20,e22) != e23
              | op2(e22,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e23
        & ( op2(e20,e20) != e23
          | ( ( op2(e20,e23) != e20
              | op2(e23,e20) != e20 )
            & ( op2(e20,e23) != e21
              | op2(e23,e20) != e21 )
            & ( op2(e20,e23) != e22
              | op2(e23,e20) != e22 )
            & ( op2(e20,e23) != e23
              | op2(e23,e20) != e23 ) ) ) )
      | ( op2(e21,e21) = e20
        & ( op2(e21,e21) != e20
          | ( ( op2(e21,e20) != e20
              | op2(e20,e21) != e20 )
            & ( op2(e21,e20) != e21
              | op2(e20,e21) != e21 )
            & ( op2(e21,e20) != e22
              | op2(e20,e21) != e22 )
            & ( op2(e21,e20) != e23
              | op2(e20,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e21
        & ( op2(e21,e21) != e21
          | ( ( op2(e21,e21) != e20
              | op2(e21,e21) != e20 )
            & ( op2(e21,e21) != e21
              | op2(e21,e21) != e21 )
            & ( op2(e21,e21) != e22
              | op2(e21,e21) != e22 )
            & ( op2(e21,e21) != e23
              | op2(e21,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e22
        & ( op2(e21,e21) != e22
          | ( ( op2(e21,e22) != e20
              | op2(e22,e21) != e20 )
            & ( op2(e21,e22) != e21
              | op2(e22,e21) != e21 )
            & ( op2(e21,e22) != e22
              | op2(e22,e21) != e22 )
            & ( op2(e21,e22) != e23
              | op2(e22,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e23
        & ( op2(e21,e21) != e23
          | ( ( op2(e21,e23) != e20
              | op2(e23,e21) != e20 )
            & ( op2(e21,e23) != e21
              | op2(e23,e21) != e21 )
            & ( op2(e21,e23) != e22
              | op2(e23,e21) != e22 )
            & ( op2(e21,e23) != e23
              | op2(e23,e21) != e23 ) ) ) )
      | ( op2(e22,e22) = e20
        & ( op2(e22,e22) != e20
          | ( ( op2(e22,e20) != e20
              | op2(e20,e22) != e20 )
            & ( op2(e22,e20) != e21
              | op2(e20,e22) != e21 )
            & ( op2(e22,e20) != e22
              | op2(e20,e22) != e22 )
            & ( op2(e22,e20) != e23
              | op2(e20,e22) != e23 ) ) ) )
      | ( op2(e22,e22) = e21
        & ( op2(e22,e22) != e21
          | ( ( op2(e22,e21) != e20
              | op2(e21,e22) != e20 )
            & ( op2(e22,e21) != e21
              | op2(e21,e22) != e21 )
            & ( op2(e22,e21) != e22
              | op2(e21,e22) != e22 )
            & ( op2(e22,e21) != e23
              | op2(e21,e22) != e23 ) ) ) )
      | ( op2(e22,e22) = e22
        & ( op2(e22,e22) != e22
          | ( ( op2(e22,e22) != e20
              | op2(e22,e22) != e20 )
            & ( op2(e22,e22) != e21
              | op2(e22,e22) != e21 )
            & ( op2(e22,e22) != e22
              | op2(e22,e22) != e22 )
            & ( op2(e22,e22) != e23
              | op2(e22,e22) != e23 ) ) ) )
      | ( op2(e22,e22) = e23
        & ( op2(e22,e22) != e23
          | ( ( op2(e22,e23) != e20
              | op2(e23,e22) != e20 )
            & ( op2(e22,e23) != e21
              | op2(e23,e22) != e21 )
            & ( op2(e22,e23) != e22
              | op2(e23,e22) != e22 )
            & ( op2(e22,e23) != e23
              | op2(e23,e22) != e23 ) ) ) )
      | ( op2(e23,e23) = e20
        & ( op2(e23,e23) != e20
          | ( ( op2(e23,e20) != e20
              | op2(e20,e23) != e20 )
            & ( op2(e23,e20) != e21
              | op2(e20,e23) != e21 )
            & ( op2(e23,e20) != e22
              | op2(e20,e23) != e22 )
            & ( op2(e23,e20) != e23
              | op2(e20,e23) != e23 ) ) ) )
      | ( op2(e23,e23) = e21
        & ( op2(e23,e23) != e21
          | ( ( op2(e23,e21) != e20
              | op2(e21,e23) != e20 )
            & ( op2(e23,e21) != e21
              | op2(e21,e23) != e21 )
            & ( op2(e23,e21) != e22
              | op2(e21,e23) != e22 )
            & ( op2(e23,e21) != e23
              | op2(e21,e23) != e23 ) ) ) ) ) ),
    introduced(predicate_definition,[f368]) ).

fof(f370,plain,
    ( ~ pd0_5
    | pd0_23
    | ( op2(e23,e23) = e22
      & ( op2(e23,e23) != e22
        | ( ( op2(e23,e22) != e20
            | op2(e22,e23) != e20 )
          & ( op2(e23,e22) != e21
            | op2(e22,e23) != e21 )
          & ( op2(e23,e22) != e22
            | op2(e22,e23) != e22 )
          & ( op2(e23,e22) != e23
            | op2(e22,e23) != e23 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f368,f369]) ).

fof(f371,plain,
    ( ~ pd0_5
    | pd0_23
    | op2(e23,e23) = e22 ),
    inference(cnf_transformation,[status(esa)],[f370]) ).

fof(f373,plain,
    ( ~ pd0_5
    | pd0_23
    | op2(e23,e23) != e22
    | op2(e23,e22) != e21
    | op2(e22,e23) != e21 ),
    inference(cnf_transformation,[status(esa)],[f370]) ).

fof(f375,plain,
    ( ~ pd0_5
    | pd0_23
    | op2(e23,e23) != e22
    | op2(e23,e22) != e23
    | op2(e22,e23) != e23 ),
    inference(cnf_transformation,[status(esa)],[f370]) ).

fof(f376,plain,
    ( ~ pd0_6
    | ( h1(e10) != e20
      & h1(e11) != e20
      & h1(e12) != e20
      & h1(e13) != e20 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f301]) ).

fof(f377,plain,
    ( ~ pd0_6
    | h1(e10) != e20 ),
    inference(cnf_transformation,[status(esa)],[f376]) ).

fof(f381,plain,
    ( ~ pd0_7
    | ( h1(e10) != e21
      & h1(e11) != e21
      & h1(e12) != e21
      & h1(e13) != e21 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f302]) ).

fof(f383,plain,
    ( ~ pd0_7
    | h1(e11) != e21 ),
    inference(cnf_transformation,[status(esa)],[f381]) ).

fof(f386,plain,
    ( ~ pd0_8
    | ( h1(e10) != e22
      & h1(e11) != e22
      & h1(e12) != e22
      & h1(e13) != e22 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f303]) ).

fof(f389,plain,
    ( ~ pd0_8
    | h1(e12) != e22 ),
    inference(cnf_transformation,[status(esa)],[f386]) ).

fof(f391,plain,
    ( ~ pd0_9
    | ( h2(e10) != e20
      & h2(e11) != e20
      & h2(e12) != e20
      & h2(e13) != e20 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f304]) ).

fof(f392,plain,
    ( ~ pd0_9
    | h2(e10) != e20 ),
    inference(cnf_transformation,[status(esa)],[f391]) ).

fof(f393,plain,
    ( ~ pd0_9
    | h2(e11) != e20 ),
    inference(cnf_transformation,[status(esa)],[f391]) ).

fof(f394,plain,
    ( ~ pd0_9
    | h2(e12) != e20 ),
    inference(cnf_transformation,[status(esa)],[f391]) ).

fof(f395,plain,
    ( ~ pd0_9
    | h2(e13) != e20 ),
    inference(cnf_transformation,[status(esa)],[f391]) ).

fof(f396,plain,
    ( ~ pd0_10
    | ( h2(e10) != e21
      & h2(e11) != e21
      & h2(e12) != e21
      & h2(e13) != e21 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f305]) ).

fof(f397,plain,
    ( ~ pd0_10
    | h2(e10) != e21 ),
    inference(cnf_transformation,[status(esa)],[f396]) ).

fof(f401,plain,
    ( ~ pd0_11
    | ( h2(e10) != e22
      & h2(e11) != e22
      & h2(e12) != e22
      & h2(e13) != e22 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f306]) ).

fof(f403,plain,
    ( ~ pd0_11
    | h2(e11) != e22 ),
    inference(cnf_transformation,[status(esa)],[f401]) ).

fof(f404,plain,
    ( ~ pd0_11
    | h2(e12) != e22 ),
    inference(cnf_transformation,[status(esa)],[f401]) ).

fof(f406,plain,
    ( ~ pd0_12
    | ( h3(e10) != e20
      & h3(e11) != e20
      & h3(e12) != e20
      & h3(e13) != e20 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f307]) ).

fof(f407,plain,
    ( ~ pd0_12
    | h3(e10) != e20 ),
    inference(cnf_transformation,[status(esa)],[f406]) ).

fof(f408,plain,
    ( ~ pd0_12
    | h3(e11) != e20 ),
    inference(cnf_transformation,[status(esa)],[f406]) ).

fof(f409,plain,
    ( ~ pd0_12
    | h3(e12) != e20 ),
    inference(cnf_transformation,[status(esa)],[f406]) ).

fof(f410,plain,
    ( ~ pd0_12
    | h3(e13) != e20 ),
    inference(cnf_transformation,[status(esa)],[f406]) ).

fof(f411,plain,
    ( ~ pd0_13
    | ( h3(e10) != e21
      & h3(e11) != e21
      & h3(e12) != e21
      & h3(e13) != e21 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f308]) ).

fof(f413,plain,
    ( ~ pd0_13
    | h3(e11) != e21 ),
    inference(cnf_transformation,[status(esa)],[f411]) ).

fof(f416,plain,
    ( ~ pd0_14
    | ( h3(e10) != e22
      & h3(e11) != e22
      & h3(e12) != e22
      & h3(e13) != e22 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f309]) ).

fof(f417,plain,
    ( ~ pd0_14
    | h3(e10) != e22 ),
    inference(cnf_transformation,[status(esa)],[f416]) ).

fof(f421,plain,
    ( ~ pd0_15
    | ( h4(e10) != e20
      & h4(e11) != e20
      & h4(e12) != e20
      & h4(e13) != e20 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f310]) ).

fof(f423,plain,
    ( ~ pd0_15
    | h4(e11) != e20 ),
    inference(cnf_transformation,[status(esa)],[f421]) ).

fof(f426,plain,
    ( ~ pd0_16
    | ( h4(e10) != e21
      & h4(e11) != e21
      & h4(e12) != e21
      & h4(e13) != e21 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f311]) ).

fof(f428,plain,
    ( ~ pd0_16
    | h4(e11) != e21 ),
    inference(cnf_transformation,[status(esa)],[f426]) ).

fof(f431,plain,
    ( ~ pd0_17
    | ( h4(e10) != e22
      & h4(e11) != e22
      & h4(e12) != e22
      & h4(e13) != e22 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f312]) ).

fof(f433,plain,
    ( ~ pd0_17
    | h4(e11) != e22 ),
    inference(cnf_transformation,[status(esa)],[f431]) ).

fof(f436,plain,
    ( ~ pd0_18
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e13) = e10
      & op1(e13,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e11,e10) = e11
      & op1(e10,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e11) = e11
      & op1(e11,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e12) = e11
      & op1(e12,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e13) = e11
      & op1(e13,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e12,e10) = e12
      & op1(e10,e12) = e12
      & op1(e10,e12) != e10
      & op1(e11,e12) != e11
      & op1(e12,e12) != e12
      & op1(e13,e12) != e13 )
    | ( op1(e12,e11) = e12
      & op1(e11,e12) = e12
      & op1(e10,e12) != e10
      & op1(e11,e12) != e11
      & op1(e12,e12) != e12
      & op1(e13,e12) != e13 )
    | ( op1(e12,e12) = e12
      & op1(e12,e12) = e12
      & op1(e10,e12) != e10
      & op1(e11,e12) != e11
      & op1(e12,e12) != e12
      & op1(e13,e12) != e13 )
    | ( op1(e12,e13) = e12
      & op1(e13,e12) = e12
      & op1(e10,e12) != e10
      & op1(e11,e12) != e11
      & op1(e12,e12) != e12
      & op1(e13,e12) != e13 )
    | ( op1(e13,e10) = e13
      & op1(e10,e13) = e13
      & op1(e10,e13) != e10
      & op1(e11,e13) != e11
      & op1(e12,e13) != e12
      & op1(e13,e13) != e13 )
    | ( op1(e13,e11) = e13
      & op1(e11,e13) = e13
      & op1(e10,e13) != e10
      & op1(e11,e13) != e11
      & op1(e12,e13) != e12
      & op1(e13,e13) != e13 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f331]) ).

fof(f437,plain,
    ( pd0_24
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e12,e10) = e12
        & op1(e10,e12) = e12
        & op1(e10,e12) != e10
        & op1(e11,e12) != e11
        & op1(e12,e12) != e12
        & op1(e13,e12) != e13 )
      | ( op1(e12,e11) = e12
        & op1(e11,e12) = e12
        & op1(e10,e12) != e10
        & op1(e11,e12) != e11
        & op1(e12,e12) != e12
        & op1(e13,e12) != e13 )
      | ( op1(e12,e12) = e12
        & op1(e12,e12) = e12
        & op1(e10,e12) != e10
        & op1(e11,e12) != e11
        & op1(e12,e12) != e12
        & op1(e13,e12) != e13 )
      | ( op1(e12,e13) = e12
        & op1(e13,e12) = e12
        & op1(e10,e12) != e10
        & op1(e11,e12) != e11
        & op1(e12,e12) != e12
        & op1(e13,e12) != e13 )
      | ( op1(e13,e10) = e13
        & op1(e10,e13) = e13
        & op1(e10,e13) != e10
        & op1(e11,e13) != e11
        & op1(e12,e13) != e12
        & op1(e13,e13) != e13 ) ) ),
    introduced(predicate_definition,[f436]) ).

fof(f438,plain,
    ( ~ pd0_18
    | pd0_24
    | ( op1(e13,e11) = e13
      & op1(e11,e13) = e13
      & op1(e10,e13) != e10
      & op1(e11,e13) != e11
      & op1(e12,e13) != e12
      & op1(e13,e13) != e13 ) ),
    inference(formula_renaming,[status(thm)],[f436,f437]) ).

fof(f439,plain,
    ( ~ pd0_18
    | pd0_24
    | op1(e13,e11) = e13 ),
    inference(cnf_transformation,[status(esa)],[f438]) ).

fof(f445,plain,
    ( ~ pd0_19
    | ( op1(e10,e10) = op1(e10,e10)
      & op1(e10,e10) != op1(e10,e10)
      & op1(e10,op1(e10,e10)) = e10 )
    | ( op1(e11,e10) = op1(e10,e11)
      & op1(e11,e11) != op1(e10,e11)
      & op1(e11,op1(e10,e11)) = e11 )
    | ( op1(e12,e10) = op1(e10,e12)
      & op1(e12,e12) != op1(e10,e12)
      & op1(e12,op1(e10,e12)) = e12 )
    | ( op1(e13,e10) = op1(e10,e13)
      & op1(e13,e13) != op1(e10,e13)
      & op1(e13,op1(e10,e13)) = e13 )
    | ( op1(e10,e11) = op1(e11,e10)
      & op1(e10,e10) != op1(e11,e10)
      & op1(e10,op1(e11,e10)) = e10 )
    | ( op1(e11,e11) = op1(e11,e11)
      & op1(e11,e11) != op1(e11,e11)
      & op1(e11,op1(e11,e11)) = e11 )
    | ( op1(e12,e11) = op1(e11,e12)
      & op1(e12,e12) != op1(e11,e12)
      & op1(e12,op1(e11,e12)) = e12 )
    | ( op1(e13,e11) = op1(e11,e13)
      & op1(e13,e13) != op1(e11,e13)
      & op1(e13,op1(e11,e13)) = e13 )
    | ( op1(e10,e12) = op1(e12,e10)
      & op1(e10,e10) != op1(e12,e10)
      & op1(e10,op1(e12,e10)) = e10 )
    | ( op1(e11,e12) = op1(e12,e11)
      & op1(e11,e11) != op1(e12,e11)
      & op1(e11,op1(e12,e11)) = e11 )
    | ( op1(e12,e12) = op1(e12,e12)
      & op1(e12,e12) != op1(e12,e12)
      & op1(e12,op1(e12,e12)) = e12 )
    | ( op1(e13,e12) = op1(e12,e13)
      & op1(e13,e13) != op1(e12,e13)
      & op1(e13,op1(e12,e13)) = e13 )
    | ( op1(e10,e13) = op1(e13,e10)
      & op1(e10,e10) != op1(e13,e10)
      & op1(e10,op1(e13,e10)) = e10 )
    | ( op1(e11,e13) = op1(e13,e11)
      & op1(e11,e11) != op1(e13,e11)
      & op1(e11,op1(e13,e11)) = e11 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f340]) ).

fof(f446,plain,
    ( pd0_25
   => ( ( op1(e10,e10) = op1(e10,e10)
        & op1(e10,e10) != op1(e10,e10)
        & op1(e10,op1(e10,e10)) = e10 )
      | ( op1(e11,e10) = op1(e10,e11)
        & op1(e11,e11) != op1(e10,e11)
        & op1(e11,op1(e10,e11)) = e11 )
      | ( op1(e12,e10) = op1(e10,e12)
        & op1(e12,e12) != op1(e10,e12)
        & op1(e12,op1(e10,e12)) = e12 )
      | ( op1(e13,e10) = op1(e10,e13)
        & op1(e13,e13) != op1(e10,e13)
        & op1(e13,op1(e10,e13)) = e13 )
      | ( op1(e10,e11) = op1(e11,e10)
        & op1(e10,e10) != op1(e11,e10)
        & op1(e10,op1(e11,e10)) = e10 )
      | ( op1(e11,e11) = op1(e11,e11)
        & op1(e11,e11) != op1(e11,e11)
        & op1(e11,op1(e11,e11)) = e11 )
      | ( op1(e12,e11) = op1(e11,e12)
        & op1(e12,e12) != op1(e11,e12)
        & op1(e12,op1(e11,e12)) = e12 )
      | ( op1(e13,e11) = op1(e11,e13)
        & op1(e13,e13) != op1(e11,e13)
        & op1(e13,op1(e11,e13)) = e13 )
      | ( op1(e10,e12) = op1(e12,e10)
        & op1(e10,e10) != op1(e12,e10)
        & op1(e10,op1(e12,e10)) = e10 )
      | ( op1(e11,e12) = op1(e12,e11)
        & op1(e11,e11) != op1(e12,e11)
        & op1(e11,op1(e12,e11)) = e11 )
      | ( op1(e12,e12) = op1(e12,e12)
        & op1(e12,e12) != op1(e12,e12)
        & op1(e12,op1(e12,e12)) = e12 )
      | ( op1(e13,e12) = op1(e12,e13)
        & op1(e13,e13) != op1(e12,e13)
        & op1(e13,op1(e12,e13)) = e13 )
      | ( op1(e10,e13) = op1(e13,e10)
        & op1(e10,e10) != op1(e13,e10)
        & op1(e10,op1(e13,e10)) = e10 ) ) ),
    introduced(predicate_definition,[f445]) ).

fof(f447,plain,
    ( ~ pd0_19
    | pd0_25
    | ( op1(e11,e13) = op1(e13,e11)
      & op1(e11,e11) != op1(e13,e11)
      & op1(e11,op1(e13,e11)) = e11 ) ),
    inference(formula_renaming,[status(thm)],[f445,f446]) ).

fof(f448,plain,
    ( ~ pd0_19
    | pd0_25
    | op1(e11,e13) = op1(e13,e11) ),
    inference(cnf_transformation,[status(esa)],[f447]) ).

fof(f450,plain,
    ( ~ pd0_19
    | pd0_25
    | op1(e11,op1(e13,e11)) = e11 ),
    inference(cnf_transformation,[status(esa)],[f447]) ).

fof(f451,plain,
    ( ~ pd0_20
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | ( ( op1(e10,e10) != e10
            | op1(e10,e10) != e10 )
          & ( op1(e10,e10) != e11
            | op1(e10,e10) != e11 )
          & ( op1(e10,e10) != e12
            | op1(e10,e10) != e12 )
          & ( op1(e10,e10) != e13
            | op1(e10,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | ( ( op1(e10,e11) != e10
            | op1(e11,e10) != e10 )
          & ( op1(e10,e11) != e11
            | op1(e11,e10) != e11 )
          & ( op1(e10,e11) != e12
            | op1(e11,e10) != e12 )
          & ( op1(e10,e11) != e13
            | op1(e11,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | ( ( op1(e10,e12) != e10
            | op1(e12,e10) != e10 )
          & ( op1(e10,e12) != e11
            | op1(e12,e10) != e11 )
          & ( op1(e10,e12) != e12
            | op1(e12,e10) != e12 )
          & ( op1(e10,e12) != e13
            | op1(e12,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e13
      & ( op1(e10,e10) != e13
        | ( ( op1(e10,e13) != e10
            | op1(e13,e10) != e10 )
          & ( op1(e10,e13) != e11
            | op1(e13,e10) != e11 )
          & ( op1(e10,e13) != e12
            | op1(e13,e10) != e12 )
          & ( op1(e10,e13) != e13
            | op1(e13,e10) != e13 ) ) ) )
    | ( op1(e11,e11) = e10
      & ( op1(e11,e11) != e10
        | ( ( op1(e11,e10) != e10
            | op1(e10,e11) != e10 )
          & ( op1(e11,e10) != e11
            | op1(e10,e11) != e11 )
          & ( op1(e11,e10) != e12
            | op1(e10,e11) != e12 )
          & ( op1(e11,e10) != e13
            | op1(e10,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e11
      & ( op1(e11,e11) != e11
        | ( ( op1(e11,e11) != e10
            | op1(e11,e11) != e10 )
          & ( op1(e11,e11) != e11
            | op1(e11,e11) != e11 )
          & ( op1(e11,e11) != e12
            | op1(e11,e11) != e12 )
          & ( op1(e11,e11) != e13
            | op1(e11,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e12
      & ( op1(e11,e11) != e12
        | ( ( op1(e11,e12) != e10
            | op1(e12,e11) != e10 )
          & ( op1(e11,e12) != e11
            | op1(e12,e11) != e11 )
          & ( op1(e11,e12) != e12
            | op1(e12,e11) != e12 )
          & ( op1(e11,e12) != e13
            | op1(e12,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e13
      & ( op1(e11,e11) != e13
        | ( ( op1(e11,e13) != e10
            | op1(e13,e11) != e10 )
          & ( op1(e11,e13) != e11
            | op1(e13,e11) != e11 )
          & ( op1(e11,e13) != e12
            | op1(e13,e11) != e12 )
          & ( op1(e11,e13) != e13
            | op1(e13,e11) != e13 ) ) ) )
    | ( op1(e12,e12) = e10
      & ( op1(e12,e12) != e10
        | ( ( op1(e12,e10) != e10
            | op1(e10,e12) != e10 )
          & ( op1(e12,e10) != e11
            | op1(e10,e12) != e11 )
          & ( op1(e12,e10) != e12
            | op1(e10,e12) != e12 )
          & ( op1(e12,e10) != e13
            | op1(e10,e12) != e13 ) ) ) )
    | ( op1(e12,e12) = e11
      & ( op1(e12,e12) != e11
        | ( ( op1(e12,e11) != e10
            | op1(e11,e12) != e10 )
          & ( op1(e12,e11) != e11
            | op1(e11,e12) != e11 )
          & ( op1(e12,e11) != e12
            | op1(e11,e12) != e12 )
          & ( op1(e12,e11) != e13
            | op1(e11,e12) != e13 ) ) ) )
    | ( op1(e12,e12) = e12
      & ( op1(e12,e12) != e12
        | ( ( op1(e12,e12) != e10
            | op1(e12,e12) != e10 )
          & ( op1(e12,e12) != e11
            | op1(e12,e12) != e11 )
          & ( op1(e12,e12) != e12
            | op1(e12,e12) != e12 )
          & ( op1(e12,e12) != e13
            | op1(e12,e12) != e13 ) ) ) )
    | ( op1(e12,e12) = e13
      & ( op1(e12,e12) != e13
        | ( ( op1(e12,e13) != e10
            | op1(e13,e12) != e10 )
          & ( op1(e12,e13) != e11
            | op1(e13,e12) != e11 )
          & ( op1(e12,e13) != e12
            | op1(e13,e12) != e12 )
          & ( op1(e12,e13) != e13
            | op1(e13,e12) != e13 ) ) ) )
    | ( op1(e13,e13) = e10
      & ( op1(e13,e13) != e10
        | ( ( op1(e13,e10) != e10
            | op1(e10,e13) != e10 )
          & ( op1(e13,e10) != e11
            | op1(e10,e13) != e11 )
          & ( op1(e13,e10) != e12
            | op1(e10,e13) != e12 )
          & ( op1(e13,e10) != e13
            | op1(e10,e13) != e13 ) ) ) )
    | ( op1(e13,e13) = e11
      & ( op1(e13,e13) != e11
        | ( ( op1(e13,e11) != e10
            | op1(e11,e13) != e10 )
          & ( op1(e13,e11) != e11
            | op1(e11,e13) != e11 )
          & ( op1(e13,e11) != e12
            | op1(e11,e13) != e12 )
          & ( op1(e13,e11) != e13
            | op1(e11,e13) != e13 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f346]) ).

fof(f452,plain,
    ( pd0_26
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | ( ( op1(e10,e10) != e10
              | op1(e10,e10) != e10 )
            & ( op1(e10,e10) != e11
              | op1(e10,e10) != e11 )
            & ( op1(e10,e10) != e12
              | op1(e10,e10) != e12 )
            & ( op1(e10,e10) != e13
              | op1(e10,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | ( ( op1(e10,e11) != e10
              | op1(e11,e10) != e10 )
            & ( op1(e10,e11) != e11
              | op1(e11,e10) != e11 )
            & ( op1(e10,e11) != e12
              | op1(e11,e10) != e12 )
            & ( op1(e10,e11) != e13
              | op1(e11,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | ( ( op1(e10,e12) != e10
              | op1(e12,e10) != e10 )
            & ( op1(e10,e12) != e11
              | op1(e12,e10) != e11 )
            & ( op1(e10,e12) != e12
              | op1(e12,e10) != e12 )
            & ( op1(e10,e12) != e13
              | op1(e12,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e13
        & ( op1(e10,e10) != e13
          | ( ( op1(e10,e13) != e10
              | op1(e13,e10) != e10 )
            & ( op1(e10,e13) != e11
              | op1(e13,e10) != e11 )
            & ( op1(e10,e13) != e12
              | op1(e13,e10) != e12 )
            & ( op1(e10,e13) != e13
              | op1(e13,e10) != e13 ) ) ) )
      | ( op1(e11,e11) = e10
        & ( op1(e11,e11) != e10
          | ( ( op1(e11,e10) != e10
              | op1(e10,e11) != e10 )
            & ( op1(e11,e10) != e11
              | op1(e10,e11) != e11 )
            & ( op1(e11,e10) != e12
              | op1(e10,e11) != e12 )
            & ( op1(e11,e10) != e13
              | op1(e10,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e11
        & ( op1(e11,e11) != e11
          | ( ( op1(e11,e11) != e10
              | op1(e11,e11) != e10 )
            & ( op1(e11,e11) != e11
              | op1(e11,e11) != e11 )
            & ( op1(e11,e11) != e12
              | op1(e11,e11) != e12 )
            & ( op1(e11,e11) != e13
              | op1(e11,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e12
        & ( op1(e11,e11) != e12
          | ( ( op1(e11,e12) != e10
              | op1(e12,e11) != e10 )
            & ( op1(e11,e12) != e11
              | op1(e12,e11) != e11 )
            & ( op1(e11,e12) != e12
              | op1(e12,e11) != e12 )
            & ( op1(e11,e12) != e13
              | op1(e12,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e13
        & ( op1(e11,e11) != e13
          | ( ( op1(e11,e13) != e10
              | op1(e13,e11) != e10 )
            & ( op1(e11,e13) != e11
              | op1(e13,e11) != e11 )
            & ( op1(e11,e13) != e12
              | op1(e13,e11) != e12 )
            & ( op1(e11,e13) != e13
              | op1(e13,e11) != e13 ) ) ) )
      | ( op1(e12,e12) = e10
        & ( op1(e12,e12) != e10
          | ( ( op1(e12,e10) != e10
              | op1(e10,e12) != e10 )
            & ( op1(e12,e10) != e11
              | op1(e10,e12) != e11 )
            & ( op1(e12,e10) != e12
              | op1(e10,e12) != e12 )
            & ( op1(e12,e10) != e13
              | op1(e10,e12) != e13 ) ) ) )
      | ( op1(e12,e12) = e11
        & ( op1(e12,e12) != e11
          | ( ( op1(e12,e11) != e10
              | op1(e11,e12) != e10 )
            & ( op1(e12,e11) != e11
              | op1(e11,e12) != e11 )
            & ( op1(e12,e11) != e12
              | op1(e11,e12) != e12 )
            & ( op1(e12,e11) != e13
              | op1(e11,e12) != e13 ) ) ) )
      | ( op1(e12,e12) = e12
        & ( op1(e12,e12) != e12
          | ( ( op1(e12,e12) != e10
              | op1(e12,e12) != e10 )
            & ( op1(e12,e12) != e11
              | op1(e12,e12) != e11 )
            & ( op1(e12,e12) != e12
              | op1(e12,e12) != e12 )
            & ( op1(e12,e12) != e13
              | op1(e12,e12) != e13 ) ) ) )
      | ( op1(e12,e12) = e13
        & ( op1(e12,e12) != e13
          | ( ( op1(e12,e13) != e10
              | op1(e13,e12) != e10 )
            & ( op1(e12,e13) != e11
              | op1(e13,e12) != e11 )
            & ( op1(e12,e13) != e12
              | op1(e13,e12) != e12 )
            & ( op1(e12,e13) != e13
              | op1(e13,e12) != e13 ) ) ) )
      | ( op1(e13,e13) = e10
        & ( op1(e13,e13) != e10
          | ( ( op1(e13,e10) != e10
              | op1(e10,e13) != e10 )
            & ( op1(e13,e10) != e11
              | op1(e10,e13) != e11 )
            & ( op1(e13,e10) != e12
              | op1(e10,e13) != e12 )
            & ( op1(e13,e10) != e13
              | op1(e10,e13) != e13 ) ) ) ) ) ),
    introduced(predicate_definition,[f451]) ).

fof(f453,plain,
    ( ~ pd0_20
    | pd0_26
    | ( op1(e13,e13) = e11
      & ( op1(e13,e13) != e11
        | ( ( op1(e13,e11) != e10
            | op1(e11,e13) != e10 )
          & ( op1(e13,e11) != e11
            | op1(e11,e13) != e11 )
          & ( op1(e13,e11) != e12
            | op1(e11,e13) != e12 )
          & ( op1(e13,e11) != e13
            | op1(e11,e13) != e13 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f451,f452]) ).

fof(f454,plain,
    ( ~ pd0_20
    | pd0_26
    | op1(e13,e13) = e11 ),
    inference(cnf_transformation,[status(esa)],[f453]) ).

fof(f455,plain,
    ( ~ pd0_20
    | pd0_26
    | op1(e13,e13) != e11
    | op1(e13,e11) != e10
    | op1(e11,e13) != e10 ),
    inference(cnf_transformation,[status(esa)],[f453]) ).

fof(f459,plain,
    ( ~ pd0_21
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e23) = e20
      & op2(e23,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e21,e20) = e21
      & op2(e20,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e21) = e21
      & op2(e21,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e22) = e21
      & op2(e22,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e23) = e21
      & op2(e23,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e22,e20) = e22
      & op2(e20,e22) = e22
      & op2(e20,e22) != e20
      & op2(e21,e22) != e21
      & op2(e22,e22) != e22
      & op2(e23,e22) != e23 )
    | ( op2(e22,e21) = e22
      & op2(e21,e22) = e22
      & op2(e20,e22) != e20
      & op2(e21,e22) != e21
      & op2(e22,e22) != e22
      & op2(e23,e22) != e23 )
    | ( op2(e22,e22) = e22
      & op2(e22,e22) = e22
      & op2(e20,e22) != e20
      & op2(e21,e22) != e21
      & op2(e22,e22) != e22
      & op2(e23,e22) != e23 )
    | ( op2(e22,e23) = e22
      & op2(e23,e22) = e22
      & op2(e20,e22) != e20
      & op2(e21,e22) != e21
      & op2(e22,e22) != e22
      & op2(e23,e22) != e23 )
    | ( op2(e23,e20) = e23
      & op2(e20,e23) = e23
      & op2(e20,e23) != e20
      & op2(e21,e23) != e21
      & op2(e22,e23) != e22
      & op2(e23,e23) != e23 )
    | ( op2(e23,e21) = e23
      & op2(e21,e23) = e23
      & op2(e20,e23) != e20
      & op2(e21,e23) != e21
      & op2(e22,e23) != e22
      & op2(e23,e23) != e23 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f354]) ).

fof(f460,plain,
    ( pd0_27
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e23) = e21
        & op2(e23,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e22,e20) = e22
        & op2(e20,e22) = e22
        & op2(e20,e22) != e20
        & op2(e21,e22) != e21
        & op2(e22,e22) != e22
        & op2(e23,e22) != e23 )
      | ( op2(e22,e21) = e22
        & op2(e21,e22) = e22
        & op2(e20,e22) != e20
        & op2(e21,e22) != e21
        & op2(e22,e22) != e22
        & op2(e23,e22) != e23 )
      | ( op2(e22,e22) = e22
        & op2(e22,e22) = e22
        & op2(e20,e22) != e20
        & op2(e21,e22) != e21
        & op2(e22,e22) != e22
        & op2(e23,e22) != e23 )
      | ( op2(e22,e23) = e22
        & op2(e23,e22) = e22
        & op2(e20,e22) != e20
        & op2(e21,e22) != e21
        & op2(e22,e22) != e22
        & op2(e23,e22) != e23 )
      | ( op2(e23,e20) = e23
        & op2(e20,e23) = e23
        & op2(e20,e23) != e20
        & op2(e21,e23) != e21
        & op2(e22,e23) != e22
        & op2(e23,e23) != e23 ) ) ),
    introduced(predicate_definition,[f459]) ).

fof(f461,plain,
    ( ~ pd0_21
    | pd0_27
    | ( op2(e23,e21) = e23
      & op2(e21,e23) = e23
      & op2(e20,e23) != e20
      & op2(e21,e23) != e21
      & op2(e22,e23) != e22
      & op2(e23,e23) != e23 ) ),
    inference(formula_renaming,[status(thm)],[f459,f460]) ).

fof(f462,plain,
    ( ~ pd0_21
    | pd0_27
    | op2(e23,e21) = e23 ),
    inference(cnf_transformation,[status(esa)],[f461]) ).

fof(f468,plain,
    ( ~ pd0_22
    | ( op2(e20,e20) = op2(e20,e20)
      & op2(e20,e20) != op2(e20,e20)
      & op2(e20,op2(e20,e20)) = e20 )
    | ( op2(e21,e20) = op2(e20,e21)
      & op2(e21,e21) != op2(e20,e21)
      & op2(e21,op2(e20,e21)) = e21 )
    | ( op2(e22,e20) = op2(e20,e22)
      & op2(e22,e22) != op2(e20,e22)
      & op2(e22,op2(e20,e22)) = e22 )
    | ( op2(e23,e20) = op2(e20,e23)
      & op2(e23,e23) != op2(e20,e23)
      & op2(e23,op2(e20,e23)) = e23 )
    | ( op2(e20,e21) = op2(e21,e20)
      & op2(e20,e20) != op2(e21,e20)
      & op2(e20,op2(e21,e20)) = e20 )
    | ( op2(e21,e21) = op2(e21,e21)
      & op2(e21,e21) != op2(e21,e21)
      & op2(e21,op2(e21,e21)) = e21 )
    | ( op2(e22,e21) = op2(e21,e22)
      & op2(e22,e22) != op2(e21,e22)
      & op2(e22,op2(e21,e22)) = e22 )
    | ( op2(e23,e21) = op2(e21,e23)
      & op2(e23,e23) != op2(e21,e23)
      & op2(e23,op2(e21,e23)) = e23 )
    | ( op2(e20,e22) = op2(e22,e20)
      & op2(e20,e20) != op2(e22,e20)
      & op2(e20,op2(e22,e20)) = e20 )
    | ( op2(e21,e22) = op2(e22,e21)
      & op2(e21,e21) != op2(e22,e21)
      & op2(e21,op2(e22,e21)) = e21 )
    | ( op2(e22,e22) = op2(e22,e22)
      & op2(e22,e22) != op2(e22,e22)
      & op2(e22,op2(e22,e22)) = e22 )
    | ( op2(e23,e22) = op2(e22,e23)
      & op2(e23,e23) != op2(e22,e23)
      & op2(e23,op2(e22,e23)) = e23 )
    | ( op2(e20,e23) = op2(e23,e20)
      & op2(e20,e20) != op2(e23,e20)
      & op2(e20,op2(e23,e20)) = e20 )
    | ( op2(e21,e23) = op2(e23,e21)
      & op2(e21,e21) != op2(e23,e21)
      & op2(e21,op2(e23,e21)) = e21 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f363]) ).

fof(f469,plain,
    ( pd0_28
   => ( ( op2(e20,e20) = op2(e20,e20)
        & op2(e20,e20) != op2(e20,e20)
        & op2(e20,op2(e20,e20)) = e20 )
      | ( op2(e21,e20) = op2(e20,e21)
        & op2(e21,e21) != op2(e20,e21)
        & op2(e21,op2(e20,e21)) = e21 )
      | ( op2(e22,e20) = op2(e20,e22)
        & op2(e22,e22) != op2(e20,e22)
        & op2(e22,op2(e20,e22)) = e22 )
      | ( op2(e23,e20) = op2(e20,e23)
        & op2(e23,e23) != op2(e20,e23)
        & op2(e23,op2(e20,e23)) = e23 )
      | ( op2(e20,e21) = op2(e21,e20)
        & op2(e20,e20) != op2(e21,e20)
        & op2(e20,op2(e21,e20)) = e20 )
      | ( op2(e21,e21) = op2(e21,e21)
        & op2(e21,e21) != op2(e21,e21)
        & op2(e21,op2(e21,e21)) = e21 )
      | ( op2(e22,e21) = op2(e21,e22)
        & op2(e22,e22) != op2(e21,e22)
        & op2(e22,op2(e21,e22)) = e22 )
      | ( op2(e23,e21) = op2(e21,e23)
        & op2(e23,e23) != op2(e21,e23)
        & op2(e23,op2(e21,e23)) = e23 )
      | ( op2(e20,e22) = op2(e22,e20)
        & op2(e20,e20) != op2(e22,e20)
        & op2(e20,op2(e22,e20)) = e20 )
      | ( op2(e21,e22) = op2(e22,e21)
        & op2(e21,e21) != op2(e22,e21)
        & op2(e21,op2(e22,e21)) = e21 )
      | ( op2(e22,e22) = op2(e22,e22)
        & op2(e22,e22) != op2(e22,e22)
        & op2(e22,op2(e22,e22)) = e22 )
      | ( op2(e23,e22) = op2(e22,e23)
        & op2(e23,e23) != op2(e22,e23)
        & op2(e23,op2(e22,e23)) = e23 )
      | ( op2(e20,e23) = op2(e23,e20)
        & op2(e20,e20) != op2(e23,e20)
        & op2(e20,op2(e23,e20)) = e20 ) ) ),
    introduced(predicate_definition,[f468]) ).

fof(f470,plain,
    ( ~ pd0_22
    | pd0_28
    | ( op2(e21,e23) = op2(e23,e21)
      & op2(e21,e21) != op2(e23,e21)
      & op2(e21,op2(e23,e21)) = e21 ) ),
    inference(formula_renaming,[status(thm)],[f468,f469]) ).

fof(f471,plain,
    ( ~ pd0_22
    | pd0_28
    | op2(e21,e23) = op2(e23,e21) ),
    inference(cnf_transformation,[status(esa)],[f470]) ).

fof(f472,plain,
    ( ~ pd0_22
    | pd0_28
    | op2(e21,e21) != op2(e23,e21) ),
    inference(cnf_transformation,[status(esa)],[f470]) ).

fof(f473,plain,
    ( ~ pd0_22
    | pd0_28
    | op2(e21,op2(e23,e21)) = e21 ),
    inference(cnf_transformation,[status(esa)],[f470]) ).

fof(f474,plain,
    ( ~ pd0_23
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | ( ( op2(e20,e20) != e20
            | op2(e20,e20) != e20 )
          & ( op2(e20,e20) != e21
            | op2(e20,e20) != e21 )
          & ( op2(e20,e20) != e22
            | op2(e20,e20) != e22 )
          & ( op2(e20,e20) != e23
            | op2(e20,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | ( ( op2(e20,e21) != e20
            | op2(e21,e20) != e20 )
          & ( op2(e20,e21) != e21
            | op2(e21,e20) != e21 )
          & ( op2(e20,e21) != e22
            | op2(e21,e20) != e22 )
          & ( op2(e20,e21) != e23
            | op2(e21,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | ( ( op2(e20,e22) != e20
            | op2(e22,e20) != e20 )
          & ( op2(e20,e22) != e21
            | op2(e22,e20) != e21 )
          & ( op2(e20,e22) != e22
            | op2(e22,e20) != e22 )
          & ( op2(e20,e22) != e23
            | op2(e22,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e23
      & ( op2(e20,e20) != e23
        | ( ( op2(e20,e23) != e20
            | op2(e23,e20) != e20 )
          & ( op2(e20,e23) != e21
            | op2(e23,e20) != e21 )
          & ( op2(e20,e23) != e22
            | op2(e23,e20) != e22 )
          & ( op2(e20,e23) != e23
            | op2(e23,e20) != e23 ) ) ) )
    | ( op2(e21,e21) = e20
      & ( op2(e21,e21) != e20
        | ( ( op2(e21,e20) != e20
            | op2(e20,e21) != e20 )
          & ( op2(e21,e20) != e21
            | op2(e20,e21) != e21 )
          & ( op2(e21,e20) != e22
            | op2(e20,e21) != e22 )
          & ( op2(e21,e20) != e23
            | op2(e20,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e21
      & ( op2(e21,e21) != e21
        | ( ( op2(e21,e21) != e20
            | op2(e21,e21) != e20 )
          & ( op2(e21,e21) != e21
            | op2(e21,e21) != e21 )
          & ( op2(e21,e21) != e22
            | op2(e21,e21) != e22 )
          & ( op2(e21,e21) != e23
            | op2(e21,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e22
      & ( op2(e21,e21) != e22
        | ( ( op2(e21,e22) != e20
            | op2(e22,e21) != e20 )
          & ( op2(e21,e22) != e21
            | op2(e22,e21) != e21 )
          & ( op2(e21,e22) != e22
            | op2(e22,e21) != e22 )
          & ( op2(e21,e22) != e23
            | op2(e22,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e23
      & ( op2(e21,e21) != e23
        | ( ( op2(e21,e23) != e20
            | op2(e23,e21) != e20 )
          & ( op2(e21,e23) != e21
            | op2(e23,e21) != e21 )
          & ( op2(e21,e23) != e22
            | op2(e23,e21) != e22 )
          & ( op2(e21,e23) != e23
            | op2(e23,e21) != e23 ) ) ) )
    | ( op2(e22,e22) = e20
      & ( op2(e22,e22) != e20
        | ( ( op2(e22,e20) != e20
            | op2(e20,e22) != e20 )
          & ( op2(e22,e20) != e21
            | op2(e20,e22) != e21 )
          & ( op2(e22,e20) != e22
            | op2(e20,e22) != e22 )
          & ( op2(e22,e20) != e23
            | op2(e20,e22) != e23 ) ) ) )
    | ( op2(e22,e22) = e21
      & ( op2(e22,e22) != e21
        | ( ( op2(e22,e21) != e20
            | op2(e21,e22) != e20 )
          & ( op2(e22,e21) != e21
            | op2(e21,e22) != e21 )
          & ( op2(e22,e21) != e22
            | op2(e21,e22) != e22 )
          & ( op2(e22,e21) != e23
            | op2(e21,e22) != e23 ) ) ) )
    | ( op2(e22,e22) = e22
      & ( op2(e22,e22) != e22
        | ( ( op2(e22,e22) != e20
            | op2(e22,e22) != e20 )
          & ( op2(e22,e22) != e21
            | op2(e22,e22) != e21 )
          & ( op2(e22,e22) != e22
            | op2(e22,e22) != e22 )
          & ( op2(e22,e22) != e23
            | op2(e22,e22) != e23 ) ) ) )
    | ( op2(e22,e22) = e23
      & ( op2(e22,e22) != e23
        | ( ( op2(e22,e23) != e20
            | op2(e23,e22) != e20 )
          & ( op2(e22,e23) != e21
            | op2(e23,e22) != e21 )
          & ( op2(e22,e23) != e22
            | op2(e23,e22) != e22 )
          & ( op2(e22,e23) != e23
            | op2(e23,e22) != e23 ) ) ) )
    | ( op2(e23,e23) = e20
      & ( op2(e23,e23) != e20
        | ( ( op2(e23,e20) != e20
            | op2(e20,e23) != e20 )
          & ( op2(e23,e20) != e21
            | op2(e20,e23) != e21 )
          & ( op2(e23,e20) != e22
            | op2(e20,e23) != e22 )
          & ( op2(e23,e20) != e23
            | op2(e20,e23) != e23 ) ) ) )
    | ( op2(e23,e23) = e21
      & ( op2(e23,e23) != e21
        | ( ( op2(e23,e21) != e20
            | op2(e21,e23) != e20 )
          & ( op2(e23,e21) != e21
            | op2(e21,e23) != e21 )
          & ( op2(e23,e21) != e22
            | op2(e21,e23) != e22 )
          & ( op2(e23,e21) != e23
            | op2(e21,e23) != e23 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f369]) ).

fof(f475,plain,
    ( pd0_29
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | ( ( op2(e20,e20) != e20
              | op2(e20,e20) != e20 )
            & ( op2(e20,e20) != e21
              | op2(e20,e20) != e21 )
            & ( op2(e20,e20) != e22
              | op2(e20,e20) != e22 )
            & ( op2(e20,e20) != e23
              | op2(e20,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | ( ( op2(e20,e21) != e20
              | op2(e21,e20) != e20 )
            & ( op2(e20,e21) != e21
              | op2(e21,e20) != e21 )
            & ( op2(e20,e21) != e22
              | op2(e21,e20) != e22 )
            & ( op2(e20,e21) != e23
              | op2(e21,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | ( ( op2(e20,e22) != e20
              | op2(e22,e20) != e20 )
            & ( op2(e20,e22) != e21
              | op2(e22,e20) != e21 )
            & ( op2(e20,e22) != e22
              | op2(e22,e20) != e22 )
            & ( op2(e20,e22) != e23
              | op2(e22,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e23
        & ( op2(e20,e20) != e23
          | ( ( op2(e20,e23) != e20
              | op2(e23,e20) != e20 )
            & ( op2(e20,e23) != e21
              | op2(e23,e20) != e21 )
            & ( op2(e20,e23) != e22
              | op2(e23,e20) != e22 )
            & ( op2(e20,e23) != e23
              | op2(e23,e20) != e23 ) ) ) )
      | ( op2(e21,e21) = e20
        & ( op2(e21,e21) != e20
          | ( ( op2(e21,e20) != e20
              | op2(e20,e21) != e20 )
            & ( op2(e21,e20) != e21
              | op2(e20,e21) != e21 )
            & ( op2(e21,e20) != e22
              | op2(e20,e21) != e22 )
            & ( op2(e21,e20) != e23
              | op2(e20,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e21
        & ( op2(e21,e21) != e21
          | ( ( op2(e21,e21) != e20
              | op2(e21,e21) != e20 )
            & ( op2(e21,e21) != e21
              | op2(e21,e21) != e21 )
            & ( op2(e21,e21) != e22
              | op2(e21,e21) != e22 )
            & ( op2(e21,e21) != e23
              | op2(e21,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e22
        & ( op2(e21,e21) != e22
          | ( ( op2(e21,e22) != e20
              | op2(e22,e21) != e20 )
            & ( op2(e21,e22) != e21
              | op2(e22,e21) != e21 )
            & ( op2(e21,e22) != e22
              | op2(e22,e21) != e22 )
            & ( op2(e21,e22) != e23
              | op2(e22,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e23
        & ( op2(e21,e21) != e23
          | ( ( op2(e21,e23) != e20
              | op2(e23,e21) != e20 )
            & ( op2(e21,e23) != e21
              | op2(e23,e21) != e21 )
            & ( op2(e21,e23) != e22
              | op2(e23,e21) != e22 )
            & ( op2(e21,e23) != e23
              | op2(e23,e21) != e23 ) ) ) )
      | ( op2(e22,e22) = e20
        & ( op2(e22,e22) != e20
          | ( ( op2(e22,e20) != e20
              | op2(e20,e22) != e20 )
            & ( op2(e22,e20) != e21
              | op2(e20,e22) != e21 )
            & ( op2(e22,e20) != e22
              | op2(e20,e22) != e22 )
            & ( op2(e22,e20) != e23
              | op2(e20,e22) != e23 ) ) ) )
      | ( op2(e22,e22) = e21
        & ( op2(e22,e22) != e21
          | ( ( op2(e22,e21) != e20
              | op2(e21,e22) != e20 )
            & ( op2(e22,e21) != e21
              | op2(e21,e22) != e21 )
            & ( op2(e22,e21) != e22
              | op2(e21,e22) != e22 )
            & ( op2(e22,e21) != e23
              | op2(e21,e22) != e23 ) ) ) )
      | ( op2(e22,e22) = e22
        & ( op2(e22,e22) != e22
          | ( ( op2(e22,e22) != e20
              | op2(e22,e22) != e20 )
            & ( op2(e22,e22) != e21
              | op2(e22,e22) != e21 )
            & ( op2(e22,e22) != e22
              | op2(e22,e22) != e22 )
            & ( op2(e22,e22) != e23
              | op2(e22,e22) != e23 ) ) ) )
      | ( op2(e22,e22) = e23
        & ( op2(e22,e22) != e23
          | ( ( op2(e22,e23) != e20
              | op2(e23,e22) != e20 )
            & ( op2(e22,e23) != e21
              | op2(e23,e22) != e21 )
            & ( op2(e22,e23) != e22
              | op2(e23,e22) != e22 )
            & ( op2(e22,e23) != e23
              | op2(e23,e22) != e23 ) ) ) )
      | ( op2(e23,e23) = e20
        & ( op2(e23,e23) != e20
          | ( ( op2(e23,e20) != e20
              | op2(e20,e23) != e20 )
            & ( op2(e23,e20) != e21
              | op2(e20,e23) != e21 )
            & ( op2(e23,e20) != e22
              | op2(e20,e23) != e22 )
            & ( op2(e23,e20) != e23
              | op2(e20,e23) != e23 ) ) ) ) ) ),
    introduced(predicate_definition,[f474]) ).

fof(f476,plain,
    ( ~ pd0_23
    | pd0_29
    | ( op2(e23,e23) = e21
      & ( op2(e23,e23) != e21
        | ( ( op2(e23,e21) != e20
            | op2(e21,e23) != e20 )
          & ( op2(e23,e21) != e21
            | op2(e21,e23) != e21 )
          & ( op2(e23,e21) != e22
            | op2(e21,e23) != e22 )
          & ( op2(e23,e21) != e23
            | op2(e21,e23) != e23 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f474,f475]) ).

fof(f477,plain,
    ( ~ pd0_23
    | pd0_29
    | op2(e23,e23) = e21 ),
    inference(cnf_transformation,[status(esa)],[f476]) ).

fof(f478,plain,
    ( ~ pd0_23
    | pd0_29
    | op2(e23,e23) != e21
    | op2(e23,e21) != e20
    | op2(e21,e23) != e20 ),
    inference(cnf_transformation,[status(esa)],[f476]) ).

fof(f482,plain,
    ( ~ pd0_24
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e13) = e10
      & op1(e13,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e11,e10) = e11
      & op1(e10,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e11) = e11
      & op1(e11,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e12) = e11
      & op1(e12,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e13) = e11
      & op1(e13,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e12,e10) = e12
      & op1(e10,e12) = e12
      & op1(e10,e12) != e10
      & op1(e11,e12) != e11
      & op1(e12,e12) != e12
      & op1(e13,e12) != e13 )
    | ( op1(e12,e11) = e12
      & op1(e11,e12) = e12
      & op1(e10,e12) != e10
      & op1(e11,e12) != e11
      & op1(e12,e12) != e12
      & op1(e13,e12) != e13 )
    | ( op1(e12,e12) = e12
      & op1(e12,e12) = e12
      & op1(e10,e12) != e10
      & op1(e11,e12) != e11
      & op1(e12,e12) != e12
      & op1(e13,e12) != e13 )
    | ( op1(e12,e13) = e12
      & op1(e13,e12) = e12
      & op1(e10,e12) != e10
      & op1(e11,e12) != e11
      & op1(e12,e12) != e12
      & op1(e13,e12) != e13 )
    | ( op1(e13,e10) = e13
      & op1(e10,e13) = e13
      & op1(e10,e13) != e10
      & op1(e11,e13) != e11
      & op1(e12,e13) != e12
      & op1(e13,e13) != e13 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f437]) ).

fof(f483,plain,
    ( pd0_30
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e12,e10) = e12
        & op1(e10,e12) = e12
        & op1(e10,e12) != e10
        & op1(e11,e12) != e11
        & op1(e12,e12) != e12
        & op1(e13,e12) != e13 )
      | ( op1(e12,e11) = e12
        & op1(e11,e12) = e12
        & op1(e10,e12) != e10
        & op1(e11,e12) != e11
        & op1(e12,e12) != e12
        & op1(e13,e12) != e13 )
      | ( op1(e12,e12) = e12
        & op1(e12,e12) = e12
        & op1(e10,e12) != e10
        & op1(e11,e12) != e11
        & op1(e12,e12) != e12
        & op1(e13,e12) != e13 )
      | ( op1(e12,e13) = e12
        & op1(e13,e12) = e12
        & op1(e10,e12) != e10
        & op1(e11,e12) != e11
        & op1(e12,e12) != e12
        & op1(e13,e12) != e13 ) ) ),
    introduced(predicate_definition,[f482]) ).

fof(f484,plain,
    ( ~ pd0_24
    | pd0_30
    | ( op1(e13,e10) = e13
      & op1(e10,e13) = e13
      & op1(e10,e13) != e10
      & op1(e11,e13) != e11
      & op1(e12,e13) != e12
      & op1(e13,e13) != e13 ) ),
    inference(formula_renaming,[status(thm)],[f482,f483]) ).

fof(f485,plain,
    ( ~ pd0_24
    | pd0_30
    | op1(e13,e10) = e13 ),
    inference(cnf_transformation,[status(esa)],[f484]) ).

fof(f491,plain,
    ( ~ pd0_25
    | ( op1(e10,e10) = op1(e10,e10)
      & op1(e10,e10) != op1(e10,e10)
      & op1(e10,op1(e10,e10)) = e10 )
    | ( op1(e11,e10) = op1(e10,e11)
      & op1(e11,e11) != op1(e10,e11)
      & op1(e11,op1(e10,e11)) = e11 )
    | ( op1(e12,e10) = op1(e10,e12)
      & op1(e12,e12) != op1(e10,e12)
      & op1(e12,op1(e10,e12)) = e12 )
    | ( op1(e13,e10) = op1(e10,e13)
      & op1(e13,e13) != op1(e10,e13)
      & op1(e13,op1(e10,e13)) = e13 )
    | ( op1(e10,e11) = op1(e11,e10)
      & op1(e10,e10) != op1(e11,e10)
      & op1(e10,op1(e11,e10)) = e10 )
    | ( op1(e11,e11) = op1(e11,e11)
      & op1(e11,e11) != op1(e11,e11)
      & op1(e11,op1(e11,e11)) = e11 )
    | ( op1(e12,e11) = op1(e11,e12)
      & op1(e12,e12) != op1(e11,e12)
      & op1(e12,op1(e11,e12)) = e12 )
    | ( op1(e13,e11) = op1(e11,e13)
      & op1(e13,e13) != op1(e11,e13)
      & op1(e13,op1(e11,e13)) = e13 )
    | ( op1(e10,e12) = op1(e12,e10)
      & op1(e10,e10) != op1(e12,e10)
      & op1(e10,op1(e12,e10)) = e10 )
    | ( op1(e11,e12) = op1(e12,e11)
      & op1(e11,e11) != op1(e12,e11)
      & op1(e11,op1(e12,e11)) = e11 )
    | ( op1(e12,e12) = op1(e12,e12)
      & op1(e12,e12) != op1(e12,e12)
      & op1(e12,op1(e12,e12)) = e12 )
    | ( op1(e13,e12) = op1(e12,e13)
      & op1(e13,e13) != op1(e12,e13)
      & op1(e13,op1(e12,e13)) = e13 )
    | ( op1(e10,e13) = op1(e13,e10)
      & op1(e10,e10) != op1(e13,e10)
      & op1(e10,op1(e13,e10)) = e10 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f446]) ).

fof(f492,plain,
    ( pd0_31
   => ( ( op1(e10,e10) = op1(e10,e10)
        & op1(e10,e10) != op1(e10,e10)
        & op1(e10,op1(e10,e10)) = e10 )
      | ( op1(e11,e10) = op1(e10,e11)
        & op1(e11,e11) != op1(e10,e11)
        & op1(e11,op1(e10,e11)) = e11 )
      | ( op1(e12,e10) = op1(e10,e12)
        & op1(e12,e12) != op1(e10,e12)
        & op1(e12,op1(e10,e12)) = e12 )
      | ( op1(e13,e10) = op1(e10,e13)
        & op1(e13,e13) != op1(e10,e13)
        & op1(e13,op1(e10,e13)) = e13 )
      | ( op1(e10,e11) = op1(e11,e10)
        & op1(e10,e10) != op1(e11,e10)
        & op1(e10,op1(e11,e10)) = e10 )
      | ( op1(e11,e11) = op1(e11,e11)
        & op1(e11,e11) != op1(e11,e11)
        & op1(e11,op1(e11,e11)) = e11 )
      | ( op1(e12,e11) = op1(e11,e12)
        & op1(e12,e12) != op1(e11,e12)
        & op1(e12,op1(e11,e12)) = e12 )
      | ( op1(e13,e11) = op1(e11,e13)
        & op1(e13,e13) != op1(e11,e13)
        & op1(e13,op1(e11,e13)) = e13 )
      | ( op1(e10,e12) = op1(e12,e10)
        & op1(e10,e10) != op1(e12,e10)
        & op1(e10,op1(e12,e10)) = e10 )
      | ( op1(e11,e12) = op1(e12,e11)
        & op1(e11,e11) != op1(e12,e11)
        & op1(e11,op1(e12,e11)) = e11 )
      | ( op1(e12,e12) = op1(e12,e12)
        & op1(e12,e12) != op1(e12,e12)
        & op1(e12,op1(e12,e12)) = e12 )
      | ( op1(e13,e12) = op1(e12,e13)
        & op1(e13,e13) != op1(e12,e13)
        & op1(e13,op1(e12,e13)) = e13 ) ) ),
    introduced(predicate_definition,[f491]) ).

fof(f493,plain,
    ( ~ pd0_25
    | pd0_31
    | ( op1(e10,e13) = op1(e13,e10)
      & op1(e10,e10) != op1(e13,e10)
      & op1(e10,op1(e13,e10)) = e10 ) ),
    inference(formula_renaming,[status(thm)],[f491,f492]) ).

fof(f494,plain,
    ( ~ pd0_25
    | pd0_31
    | op1(e10,e13) = op1(e13,e10) ),
    inference(cnf_transformation,[status(esa)],[f493]) ).

fof(f496,plain,
    ( ~ pd0_25
    | pd0_31
    | op1(e10,op1(e13,e10)) = e10 ),
    inference(cnf_transformation,[status(esa)],[f493]) ).

fof(f497,plain,
    ( ~ pd0_26
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | ( ( op1(e10,e10) != e10
            | op1(e10,e10) != e10 )
          & ( op1(e10,e10) != e11
            | op1(e10,e10) != e11 )
          & ( op1(e10,e10) != e12
            | op1(e10,e10) != e12 )
          & ( op1(e10,e10) != e13
            | op1(e10,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | ( ( op1(e10,e11) != e10
            | op1(e11,e10) != e10 )
          & ( op1(e10,e11) != e11
            | op1(e11,e10) != e11 )
          & ( op1(e10,e11) != e12
            | op1(e11,e10) != e12 )
          & ( op1(e10,e11) != e13
            | op1(e11,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | ( ( op1(e10,e12) != e10
            | op1(e12,e10) != e10 )
          & ( op1(e10,e12) != e11
            | op1(e12,e10) != e11 )
          & ( op1(e10,e12) != e12
            | op1(e12,e10) != e12 )
          & ( op1(e10,e12) != e13
            | op1(e12,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e13
      & ( op1(e10,e10) != e13
        | ( ( op1(e10,e13) != e10
            | op1(e13,e10) != e10 )
          & ( op1(e10,e13) != e11
            | op1(e13,e10) != e11 )
          & ( op1(e10,e13) != e12
            | op1(e13,e10) != e12 )
          & ( op1(e10,e13) != e13
            | op1(e13,e10) != e13 ) ) ) )
    | ( op1(e11,e11) = e10
      & ( op1(e11,e11) != e10
        | ( ( op1(e11,e10) != e10
            | op1(e10,e11) != e10 )
          & ( op1(e11,e10) != e11
            | op1(e10,e11) != e11 )
          & ( op1(e11,e10) != e12
            | op1(e10,e11) != e12 )
          & ( op1(e11,e10) != e13
            | op1(e10,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e11
      & ( op1(e11,e11) != e11
        | ( ( op1(e11,e11) != e10
            | op1(e11,e11) != e10 )
          & ( op1(e11,e11) != e11
            | op1(e11,e11) != e11 )
          & ( op1(e11,e11) != e12
            | op1(e11,e11) != e12 )
          & ( op1(e11,e11) != e13
            | op1(e11,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e12
      & ( op1(e11,e11) != e12
        | ( ( op1(e11,e12) != e10
            | op1(e12,e11) != e10 )
          & ( op1(e11,e12) != e11
            | op1(e12,e11) != e11 )
          & ( op1(e11,e12) != e12
            | op1(e12,e11) != e12 )
          & ( op1(e11,e12) != e13
            | op1(e12,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e13
      & ( op1(e11,e11) != e13
        | ( ( op1(e11,e13) != e10
            | op1(e13,e11) != e10 )
          & ( op1(e11,e13) != e11
            | op1(e13,e11) != e11 )
          & ( op1(e11,e13) != e12
            | op1(e13,e11) != e12 )
          & ( op1(e11,e13) != e13
            | op1(e13,e11) != e13 ) ) ) )
    | ( op1(e12,e12) = e10
      & ( op1(e12,e12) != e10
        | ( ( op1(e12,e10) != e10
            | op1(e10,e12) != e10 )
          & ( op1(e12,e10) != e11
            | op1(e10,e12) != e11 )
          & ( op1(e12,e10) != e12
            | op1(e10,e12) != e12 )
          & ( op1(e12,e10) != e13
            | op1(e10,e12) != e13 ) ) ) )
    | ( op1(e12,e12) = e11
      & ( op1(e12,e12) != e11
        | ( ( op1(e12,e11) != e10
            | op1(e11,e12) != e10 )
          & ( op1(e12,e11) != e11
            | op1(e11,e12) != e11 )
          & ( op1(e12,e11) != e12
            | op1(e11,e12) != e12 )
          & ( op1(e12,e11) != e13
            | op1(e11,e12) != e13 ) ) ) )
    | ( op1(e12,e12) = e12
      & ( op1(e12,e12) != e12
        | ( ( op1(e12,e12) != e10
            | op1(e12,e12) != e10 )
          & ( op1(e12,e12) != e11
            | op1(e12,e12) != e11 )
          & ( op1(e12,e12) != e12
            | op1(e12,e12) != e12 )
          & ( op1(e12,e12) != e13
            | op1(e12,e12) != e13 ) ) ) )
    | ( op1(e12,e12) = e13
      & ( op1(e12,e12) != e13
        | ( ( op1(e12,e13) != e10
            | op1(e13,e12) != e10 )
          & ( op1(e12,e13) != e11
            | op1(e13,e12) != e11 )
          & ( op1(e12,e13) != e12
            | op1(e13,e12) != e12 )
          & ( op1(e12,e13) != e13
            | op1(e13,e12) != e13 ) ) ) )
    | ( op1(e13,e13) = e10
      & ( op1(e13,e13) != e10
        | ( ( op1(e13,e10) != e10
            | op1(e10,e13) != e10 )
          & ( op1(e13,e10) != e11
            | op1(e10,e13) != e11 )
          & ( op1(e13,e10) != e12
            | op1(e10,e13) != e12 )
          & ( op1(e13,e10) != e13
            | op1(e10,e13) != e13 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f452]) ).

fof(f498,plain,
    ( pd0_32
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | ( ( op1(e10,e10) != e10
              | op1(e10,e10) != e10 )
            & ( op1(e10,e10) != e11
              | op1(e10,e10) != e11 )
            & ( op1(e10,e10) != e12
              | op1(e10,e10) != e12 )
            & ( op1(e10,e10) != e13
              | op1(e10,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | ( ( op1(e10,e11) != e10
              | op1(e11,e10) != e10 )
            & ( op1(e10,e11) != e11
              | op1(e11,e10) != e11 )
            & ( op1(e10,e11) != e12
              | op1(e11,e10) != e12 )
            & ( op1(e10,e11) != e13
              | op1(e11,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | ( ( op1(e10,e12) != e10
              | op1(e12,e10) != e10 )
            & ( op1(e10,e12) != e11
              | op1(e12,e10) != e11 )
            & ( op1(e10,e12) != e12
              | op1(e12,e10) != e12 )
            & ( op1(e10,e12) != e13
              | op1(e12,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e13
        & ( op1(e10,e10) != e13
          | ( ( op1(e10,e13) != e10
              | op1(e13,e10) != e10 )
            & ( op1(e10,e13) != e11
              | op1(e13,e10) != e11 )
            & ( op1(e10,e13) != e12
              | op1(e13,e10) != e12 )
            & ( op1(e10,e13) != e13
              | op1(e13,e10) != e13 ) ) ) )
      | ( op1(e11,e11) = e10
        & ( op1(e11,e11) != e10
          | ( ( op1(e11,e10) != e10
              | op1(e10,e11) != e10 )
            & ( op1(e11,e10) != e11
              | op1(e10,e11) != e11 )
            & ( op1(e11,e10) != e12
              | op1(e10,e11) != e12 )
            & ( op1(e11,e10) != e13
              | op1(e10,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e11
        & ( op1(e11,e11) != e11
          | ( ( op1(e11,e11) != e10
              | op1(e11,e11) != e10 )
            & ( op1(e11,e11) != e11
              | op1(e11,e11) != e11 )
            & ( op1(e11,e11) != e12
              | op1(e11,e11) != e12 )
            & ( op1(e11,e11) != e13
              | op1(e11,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e12
        & ( op1(e11,e11) != e12
          | ( ( op1(e11,e12) != e10
              | op1(e12,e11) != e10 )
            & ( op1(e11,e12) != e11
              | op1(e12,e11) != e11 )
            & ( op1(e11,e12) != e12
              | op1(e12,e11) != e12 )
            & ( op1(e11,e12) != e13
              | op1(e12,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e13
        & ( op1(e11,e11) != e13
          | ( ( op1(e11,e13) != e10
              | op1(e13,e11) != e10 )
            & ( op1(e11,e13) != e11
              | op1(e13,e11) != e11 )
            & ( op1(e11,e13) != e12
              | op1(e13,e11) != e12 )
            & ( op1(e11,e13) != e13
              | op1(e13,e11) != e13 ) ) ) )
      | ( op1(e12,e12) = e10
        & ( op1(e12,e12) != e10
          | ( ( op1(e12,e10) != e10
              | op1(e10,e12) != e10 )
            & ( op1(e12,e10) != e11
              | op1(e10,e12) != e11 )
            & ( op1(e12,e10) != e12
              | op1(e10,e12) != e12 )
            & ( op1(e12,e10) != e13
              | op1(e10,e12) != e13 ) ) ) )
      | ( op1(e12,e12) = e11
        & ( op1(e12,e12) != e11
          | ( ( op1(e12,e11) != e10
              | op1(e11,e12) != e10 )
            & ( op1(e12,e11) != e11
              | op1(e11,e12) != e11 )
            & ( op1(e12,e11) != e12
              | op1(e11,e12) != e12 )
            & ( op1(e12,e11) != e13
              | op1(e11,e12) != e13 ) ) ) )
      | ( op1(e12,e12) = e12
        & ( op1(e12,e12) != e12
          | ( ( op1(e12,e12) != e10
              | op1(e12,e12) != e10 )
            & ( op1(e12,e12) != e11
              | op1(e12,e12) != e11 )
            & ( op1(e12,e12) != e12
              | op1(e12,e12) != e12 )
            & ( op1(e12,e12) != e13
              | op1(e12,e12) != e13 ) ) ) )
      | ( op1(e12,e12) = e13
        & ( op1(e12,e12) != e13
          | ( ( op1(e12,e13) != e10
              | op1(e13,e12) != e10 )
            & ( op1(e12,e13) != e11
              | op1(e13,e12) != e11 )
            & ( op1(e12,e13) != e12
              | op1(e13,e12) != e12 )
            & ( op1(e12,e13) != e13
              | op1(e13,e12) != e13 ) ) ) ) ) ),
    introduced(predicate_definition,[f497]) ).

fof(f499,plain,
    ( ~ pd0_26
    | pd0_32
    | ( op1(e13,e13) = e10
      & ( op1(e13,e13) != e10
        | ( ( op1(e13,e10) != e10
            | op1(e10,e13) != e10 )
          & ( op1(e13,e10) != e11
            | op1(e10,e13) != e11 )
          & ( op1(e13,e10) != e12
            | op1(e10,e13) != e12 )
          & ( op1(e13,e10) != e13
            | op1(e10,e13) != e13 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f497,f498]) ).

fof(f500,plain,
    ( ~ pd0_26
    | pd0_32
    | op1(e13,e13) = e10 ),
    inference(cnf_transformation,[status(esa)],[f499]) ).

fof(f503,plain,
    ( ~ pd0_26
    | pd0_32
    | op1(e13,e13) != e10
    | op1(e13,e10) != e12
    | op1(e10,e13) != e12 ),
    inference(cnf_transformation,[status(esa)],[f499]) ).

fof(f505,plain,
    ( ~ pd0_27
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e23) = e20
      & op2(e23,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e21,e20) = e21
      & op2(e20,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e21) = e21
      & op2(e21,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e22) = e21
      & op2(e22,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e23) = e21
      & op2(e23,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e22,e20) = e22
      & op2(e20,e22) = e22
      & op2(e20,e22) != e20
      & op2(e21,e22) != e21
      & op2(e22,e22) != e22
      & op2(e23,e22) != e23 )
    | ( op2(e22,e21) = e22
      & op2(e21,e22) = e22
      & op2(e20,e22) != e20
      & op2(e21,e22) != e21
      & op2(e22,e22) != e22
      & op2(e23,e22) != e23 )
    | ( op2(e22,e22) = e22
      & op2(e22,e22) = e22
      & op2(e20,e22) != e20
      & op2(e21,e22) != e21
      & op2(e22,e22) != e22
      & op2(e23,e22) != e23 )
    | ( op2(e22,e23) = e22
      & op2(e23,e22) = e22
      & op2(e20,e22) != e20
      & op2(e21,e22) != e21
      & op2(e22,e22) != e22
      & op2(e23,e22) != e23 )
    | ( op2(e23,e20) = e23
      & op2(e20,e23) = e23
      & op2(e20,e23) != e20
      & op2(e21,e23) != e21
      & op2(e22,e23) != e22
      & op2(e23,e23) != e23 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f460]) ).

fof(f506,plain,
    ( pd0_33
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e23) = e21
        & op2(e23,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e22,e20) = e22
        & op2(e20,e22) = e22
        & op2(e20,e22) != e20
        & op2(e21,e22) != e21
        & op2(e22,e22) != e22
        & op2(e23,e22) != e23 )
      | ( op2(e22,e21) = e22
        & op2(e21,e22) = e22
        & op2(e20,e22) != e20
        & op2(e21,e22) != e21
        & op2(e22,e22) != e22
        & op2(e23,e22) != e23 )
      | ( op2(e22,e22) = e22
        & op2(e22,e22) = e22
        & op2(e20,e22) != e20
        & op2(e21,e22) != e21
        & op2(e22,e22) != e22
        & op2(e23,e22) != e23 )
      | ( op2(e22,e23) = e22
        & op2(e23,e22) = e22
        & op2(e20,e22) != e20
        & op2(e21,e22) != e21
        & op2(e22,e22) != e22
        & op2(e23,e22) != e23 ) ) ),
    introduced(predicate_definition,[f505]) ).

fof(f507,plain,
    ( ~ pd0_27
    | pd0_33
    | ( op2(e23,e20) = e23
      & op2(e20,e23) = e23
      & op2(e20,e23) != e20
      & op2(e21,e23) != e21
      & op2(e22,e23) != e22
      & op2(e23,e23) != e23 ) ),
    inference(formula_renaming,[status(thm)],[f505,f506]) ).

fof(f508,plain,
    ( ~ pd0_27
    | pd0_33
    | op2(e23,e20) = e23 ),
    inference(cnf_transformation,[status(esa)],[f507]) ).

fof(f514,plain,
    ( ~ pd0_28
    | ( op2(e20,e20) = op2(e20,e20)
      & op2(e20,e20) != op2(e20,e20)
      & op2(e20,op2(e20,e20)) = e20 )
    | ( op2(e21,e20) = op2(e20,e21)
      & op2(e21,e21) != op2(e20,e21)
      & op2(e21,op2(e20,e21)) = e21 )
    | ( op2(e22,e20) = op2(e20,e22)
      & op2(e22,e22) != op2(e20,e22)
      & op2(e22,op2(e20,e22)) = e22 )
    | ( op2(e23,e20) = op2(e20,e23)
      & op2(e23,e23) != op2(e20,e23)
      & op2(e23,op2(e20,e23)) = e23 )
    | ( op2(e20,e21) = op2(e21,e20)
      & op2(e20,e20) != op2(e21,e20)
      & op2(e20,op2(e21,e20)) = e20 )
    | ( op2(e21,e21) = op2(e21,e21)
      & op2(e21,e21) != op2(e21,e21)
      & op2(e21,op2(e21,e21)) = e21 )
    | ( op2(e22,e21) = op2(e21,e22)
      & op2(e22,e22) != op2(e21,e22)
      & op2(e22,op2(e21,e22)) = e22 )
    | ( op2(e23,e21) = op2(e21,e23)
      & op2(e23,e23) != op2(e21,e23)
      & op2(e23,op2(e21,e23)) = e23 )
    | ( op2(e20,e22) = op2(e22,e20)
      & op2(e20,e20) != op2(e22,e20)
      & op2(e20,op2(e22,e20)) = e20 )
    | ( op2(e21,e22) = op2(e22,e21)
      & op2(e21,e21) != op2(e22,e21)
      & op2(e21,op2(e22,e21)) = e21 )
    | ( op2(e22,e22) = op2(e22,e22)
      & op2(e22,e22) != op2(e22,e22)
      & op2(e22,op2(e22,e22)) = e22 )
    | ( op2(e23,e22) = op2(e22,e23)
      & op2(e23,e23) != op2(e22,e23)
      & op2(e23,op2(e22,e23)) = e23 )
    | ( op2(e20,e23) = op2(e23,e20)
      & op2(e20,e20) != op2(e23,e20)
      & op2(e20,op2(e23,e20)) = e20 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f469]) ).

fof(f515,plain,
    ( pd0_34
   => ( ( op2(e20,e20) = op2(e20,e20)
        & op2(e20,e20) != op2(e20,e20)
        & op2(e20,op2(e20,e20)) = e20 )
      | ( op2(e21,e20) = op2(e20,e21)
        & op2(e21,e21) != op2(e20,e21)
        & op2(e21,op2(e20,e21)) = e21 )
      | ( op2(e22,e20) = op2(e20,e22)
        & op2(e22,e22) != op2(e20,e22)
        & op2(e22,op2(e20,e22)) = e22 )
      | ( op2(e23,e20) = op2(e20,e23)
        & op2(e23,e23) != op2(e20,e23)
        & op2(e23,op2(e20,e23)) = e23 )
      | ( op2(e20,e21) = op2(e21,e20)
        & op2(e20,e20) != op2(e21,e20)
        & op2(e20,op2(e21,e20)) = e20 )
      | ( op2(e21,e21) = op2(e21,e21)
        & op2(e21,e21) != op2(e21,e21)
        & op2(e21,op2(e21,e21)) = e21 )
      | ( op2(e22,e21) = op2(e21,e22)
        & op2(e22,e22) != op2(e21,e22)
        & op2(e22,op2(e21,e22)) = e22 )
      | ( op2(e23,e21) = op2(e21,e23)
        & op2(e23,e23) != op2(e21,e23)
        & op2(e23,op2(e21,e23)) = e23 )
      | ( op2(e20,e22) = op2(e22,e20)
        & op2(e20,e20) != op2(e22,e20)
        & op2(e20,op2(e22,e20)) = e20 )
      | ( op2(e21,e22) = op2(e22,e21)
        & op2(e21,e21) != op2(e22,e21)
        & op2(e21,op2(e22,e21)) = e21 )
      | ( op2(e22,e22) = op2(e22,e22)
        & op2(e22,e22) != op2(e22,e22)
        & op2(e22,op2(e22,e22)) = e22 )
      | ( op2(e23,e22) = op2(e22,e23)
        & op2(e23,e23) != op2(e22,e23)
        & op2(e23,op2(e22,e23)) = e23 ) ) ),
    introduced(predicate_definition,[f514]) ).

fof(f516,plain,
    ( ~ pd0_28
    | pd0_34
    | ( op2(e20,e23) = op2(e23,e20)
      & op2(e20,e20) != op2(e23,e20)
      & op2(e20,op2(e23,e20)) = e20 ) ),
    inference(formula_renaming,[status(thm)],[f514,f515]) ).

fof(f517,plain,
    ( ~ pd0_28
    | pd0_34
    | op2(e20,e23) = op2(e23,e20) ),
    inference(cnf_transformation,[status(esa)],[f516]) ).

fof(f519,plain,
    ( ~ pd0_28
    | pd0_34
    | op2(e20,op2(e23,e20)) = e20 ),
    inference(cnf_transformation,[status(esa)],[f516]) ).

fof(f520,plain,
    ( ~ pd0_29
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | ( ( op2(e20,e20) != e20
            | op2(e20,e20) != e20 )
          & ( op2(e20,e20) != e21
            | op2(e20,e20) != e21 )
          & ( op2(e20,e20) != e22
            | op2(e20,e20) != e22 )
          & ( op2(e20,e20) != e23
            | op2(e20,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | ( ( op2(e20,e21) != e20
            | op2(e21,e20) != e20 )
          & ( op2(e20,e21) != e21
            | op2(e21,e20) != e21 )
          & ( op2(e20,e21) != e22
            | op2(e21,e20) != e22 )
          & ( op2(e20,e21) != e23
            | op2(e21,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | ( ( op2(e20,e22) != e20
            | op2(e22,e20) != e20 )
          & ( op2(e20,e22) != e21
            | op2(e22,e20) != e21 )
          & ( op2(e20,e22) != e22
            | op2(e22,e20) != e22 )
          & ( op2(e20,e22) != e23
            | op2(e22,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e23
      & ( op2(e20,e20) != e23
        | ( ( op2(e20,e23) != e20
            | op2(e23,e20) != e20 )
          & ( op2(e20,e23) != e21
            | op2(e23,e20) != e21 )
          & ( op2(e20,e23) != e22
            | op2(e23,e20) != e22 )
          & ( op2(e20,e23) != e23
            | op2(e23,e20) != e23 ) ) ) )
    | ( op2(e21,e21) = e20
      & ( op2(e21,e21) != e20
        | ( ( op2(e21,e20) != e20
            | op2(e20,e21) != e20 )
          & ( op2(e21,e20) != e21
            | op2(e20,e21) != e21 )
          & ( op2(e21,e20) != e22
            | op2(e20,e21) != e22 )
          & ( op2(e21,e20) != e23
            | op2(e20,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e21
      & ( op2(e21,e21) != e21
        | ( ( op2(e21,e21) != e20
            | op2(e21,e21) != e20 )
          & ( op2(e21,e21) != e21
            | op2(e21,e21) != e21 )
          & ( op2(e21,e21) != e22
            | op2(e21,e21) != e22 )
          & ( op2(e21,e21) != e23
            | op2(e21,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e22
      & ( op2(e21,e21) != e22
        | ( ( op2(e21,e22) != e20
            | op2(e22,e21) != e20 )
          & ( op2(e21,e22) != e21
            | op2(e22,e21) != e21 )
          & ( op2(e21,e22) != e22
            | op2(e22,e21) != e22 )
          & ( op2(e21,e22) != e23
            | op2(e22,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e23
      & ( op2(e21,e21) != e23
        | ( ( op2(e21,e23) != e20
            | op2(e23,e21) != e20 )
          & ( op2(e21,e23) != e21
            | op2(e23,e21) != e21 )
          & ( op2(e21,e23) != e22
            | op2(e23,e21) != e22 )
          & ( op2(e21,e23) != e23
            | op2(e23,e21) != e23 ) ) ) )
    | ( op2(e22,e22) = e20
      & ( op2(e22,e22) != e20
        | ( ( op2(e22,e20) != e20
            | op2(e20,e22) != e20 )
          & ( op2(e22,e20) != e21
            | op2(e20,e22) != e21 )
          & ( op2(e22,e20) != e22
            | op2(e20,e22) != e22 )
          & ( op2(e22,e20) != e23
            | op2(e20,e22) != e23 ) ) ) )
    | ( op2(e22,e22) = e21
      & ( op2(e22,e22) != e21
        | ( ( op2(e22,e21) != e20
            | op2(e21,e22) != e20 )
          & ( op2(e22,e21) != e21
            | op2(e21,e22) != e21 )
          & ( op2(e22,e21) != e22
            | op2(e21,e22) != e22 )
          & ( op2(e22,e21) != e23
            | op2(e21,e22) != e23 ) ) ) )
    | ( op2(e22,e22) = e22
      & ( op2(e22,e22) != e22
        | ( ( op2(e22,e22) != e20
            | op2(e22,e22) != e20 )
          & ( op2(e22,e22) != e21
            | op2(e22,e22) != e21 )
          & ( op2(e22,e22) != e22
            | op2(e22,e22) != e22 )
          & ( op2(e22,e22) != e23
            | op2(e22,e22) != e23 ) ) ) )
    | ( op2(e22,e22) = e23
      & ( op2(e22,e22) != e23
        | ( ( op2(e22,e23) != e20
            | op2(e23,e22) != e20 )
          & ( op2(e22,e23) != e21
            | op2(e23,e22) != e21 )
          & ( op2(e22,e23) != e22
            | op2(e23,e22) != e22 )
          & ( op2(e22,e23) != e23
            | op2(e23,e22) != e23 ) ) ) )
    | ( op2(e23,e23) = e20
      & ( op2(e23,e23) != e20
        | ( ( op2(e23,e20) != e20
            | op2(e20,e23) != e20 )
          & ( op2(e23,e20) != e21
            | op2(e20,e23) != e21 )
          & ( op2(e23,e20) != e22
            | op2(e20,e23) != e22 )
          & ( op2(e23,e20) != e23
            | op2(e20,e23) != e23 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f475]) ).

fof(f521,plain,
    ( pd0_35
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | ( ( op2(e20,e20) != e20
              | op2(e20,e20) != e20 )
            & ( op2(e20,e20) != e21
              | op2(e20,e20) != e21 )
            & ( op2(e20,e20) != e22
              | op2(e20,e20) != e22 )
            & ( op2(e20,e20) != e23
              | op2(e20,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | ( ( op2(e20,e21) != e20
              | op2(e21,e20) != e20 )
            & ( op2(e20,e21) != e21
              | op2(e21,e20) != e21 )
            & ( op2(e20,e21) != e22
              | op2(e21,e20) != e22 )
            & ( op2(e20,e21) != e23
              | op2(e21,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | ( ( op2(e20,e22) != e20
              | op2(e22,e20) != e20 )
            & ( op2(e20,e22) != e21
              | op2(e22,e20) != e21 )
            & ( op2(e20,e22) != e22
              | op2(e22,e20) != e22 )
            & ( op2(e20,e22) != e23
              | op2(e22,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e23
        & ( op2(e20,e20) != e23
          | ( ( op2(e20,e23) != e20
              | op2(e23,e20) != e20 )
            & ( op2(e20,e23) != e21
              | op2(e23,e20) != e21 )
            & ( op2(e20,e23) != e22
              | op2(e23,e20) != e22 )
            & ( op2(e20,e23) != e23
              | op2(e23,e20) != e23 ) ) ) )
      | ( op2(e21,e21) = e20
        & ( op2(e21,e21) != e20
          | ( ( op2(e21,e20) != e20
              | op2(e20,e21) != e20 )
            & ( op2(e21,e20) != e21
              | op2(e20,e21) != e21 )
            & ( op2(e21,e20) != e22
              | op2(e20,e21) != e22 )
            & ( op2(e21,e20) != e23
              | op2(e20,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e21
        & ( op2(e21,e21) != e21
          | ( ( op2(e21,e21) != e20
              | op2(e21,e21) != e20 )
            & ( op2(e21,e21) != e21
              | op2(e21,e21) != e21 )
            & ( op2(e21,e21) != e22
              | op2(e21,e21) != e22 )
            & ( op2(e21,e21) != e23
              | op2(e21,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e22
        & ( op2(e21,e21) != e22
          | ( ( op2(e21,e22) != e20
              | op2(e22,e21) != e20 )
            & ( op2(e21,e22) != e21
              | op2(e22,e21) != e21 )
            & ( op2(e21,e22) != e22
              | op2(e22,e21) != e22 )
            & ( op2(e21,e22) != e23
              | op2(e22,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e23
        & ( op2(e21,e21) != e23
          | ( ( op2(e21,e23) != e20
              | op2(e23,e21) != e20 )
            & ( op2(e21,e23) != e21
              | op2(e23,e21) != e21 )
            & ( op2(e21,e23) != e22
              | op2(e23,e21) != e22 )
            & ( op2(e21,e23) != e23
              | op2(e23,e21) != e23 ) ) ) )
      | ( op2(e22,e22) = e20
        & ( op2(e22,e22) != e20
          | ( ( op2(e22,e20) != e20
              | op2(e20,e22) != e20 )
            & ( op2(e22,e20) != e21
              | op2(e20,e22) != e21 )
            & ( op2(e22,e20) != e22
              | op2(e20,e22) != e22 )
            & ( op2(e22,e20) != e23
              | op2(e20,e22) != e23 ) ) ) )
      | ( op2(e22,e22) = e21
        & ( op2(e22,e22) != e21
          | ( ( op2(e22,e21) != e20
              | op2(e21,e22) != e20 )
            & ( op2(e22,e21) != e21
              | op2(e21,e22) != e21 )
            & ( op2(e22,e21) != e22
              | op2(e21,e22) != e22 )
            & ( op2(e22,e21) != e23
              | op2(e21,e22) != e23 ) ) ) )
      | ( op2(e22,e22) = e22
        & ( op2(e22,e22) != e22
          | ( ( op2(e22,e22) != e20
              | op2(e22,e22) != e20 )
            & ( op2(e22,e22) != e21
              | op2(e22,e22) != e21 )
            & ( op2(e22,e22) != e22
              | op2(e22,e22) != e22 )
            & ( op2(e22,e22) != e23
              | op2(e22,e22) != e23 ) ) ) )
      | ( op2(e22,e22) = e23
        & ( op2(e22,e22) != e23
          | ( ( op2(e22,e23) != e20
              | op2(e23,e22) != e20 )
            & ( op2(e22,e23) != e21
              | op2(e23,e22) != e21 )
            & ( op2(e22,e23) != e22
              | op2(e23,e22) != e22 )
            & ( op2(e22,e23) != e23
              | op2(e23,e22) != e23 ) ) ) ) ) ),
    introduced(predicate_definition,[f520]) ).

fof(f522,plain,
    ( ~ pd0_29
    | pd0_35
    | ( op2(e23,e23) = e20
      & ( op2(e23,e23) != e20
        | ( ( op2(e23,e20) != e20
            | op2(e20,e23) != e20 )
          & ( op2(e23,e20) != e21
            | op2(e20,e23) != e21 )
          & ( op2(e23,e20) != e22
            | op2(e20,e23) != e22 )
          & ( op2(e23,e20) != e23
            | op2(e20,e23) != e23 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f520,f521]) ).

fof(f523,plain,
    ( ~ pd0_29
    | pd0_35
    | op2(e23,e23) = e20 ),
    inference(cnf_transformation,[status(esa)],[f522]) ).

fof(f526,plain,
    ( ~ pd0_29
    | pd0_35
    | op2(e23,e23) != e20
    | op2(e23,e20) != e22
    | op2(e20,e23) != e22 ),
    inference(cnf_transformation,[status(esa)],[f522]) ).

fof(f528,plain,
    ( ~ pd0_30
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e13) = e10
      & op1(e13,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e11,e10) = e11
      & op1(e10,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e11) = e11
      & op1(e11,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e12) = e11
      & op1(e12,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e13) = e11
      & op1(e13,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e12,e10) = e12
      & op1(e10,e12) = e12
      & op1(e10,e12) != e10
      & op1(e11,e12) != e11
      & op1(e12,e12) != e12
      & op1(e13,e12) != e13 )
    | ( op1(e12,e11) = e12
      & op1(e11,e12) = e12
      & op1(e10,e12) != e10
      & op1(e11,e12) != e11
      & op1(e12,e12) != e12
      & op1(e13,e12) != e13 )
    | ( op1(e12,e12) = e12
      & op1(e12,e12) = e12
      & op1(e10,e12) != e10
      & op1(e11,e12) != e11
      & op1(e12,e12) != e12
      & op1(e13,e12) != e13 )
    | ( op1(e12,e13) = e12
      & op1(e13,e12) = e12
      & op1(e10,e12) != e10
      & op1(e11,e12) != e11
      & op1(e12,e12) != e12
      & op1(e13,e12) != e13 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f483]) ).

fof(f529,plain,
    ( pd0_36
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e12,e10) = e12
        & op1(e10,e12) = e12
        & op1(e10,e12) != e10
        & op1(e11,e12) != e11
        & op1(e12,e12) != e12
        & op1(e13,e12) != e13 )
      | ( op1(e12,e11) = e12
        & op1(e11,e12) = e12
        & op1(e10,e12) != e10
        & op1(e11,e12) != e11
        & op1(e12,e12) != e12
        & op1(e13,e12) != e13 )
      | ( op1(e12,e12) = e12
        & op1(e12,e12) = e12
        & op1(e10,e12) != e10
        & op1(e11,e12) != e11
        & op1(e12,e12) != e12
        & op1(e13,e12) != e13 ) ) ),
    introduced(predicate_definition,[f528]) ).

fof(f530,plain,
    ( ~ pd0_30
    | pd0_36
    | ( op1(e12,e13) = e12
      & op1(e13,e12) = e12
      & op1(e10,e12) != e10
      & op1(e11,e12) != e11
      & op1(e12,e12) != e12
      & op1(e13,e12) != e13 ) ),
    inference(formula_renaming,[status(thm)],[f528,f529]) ).

fof(f531,plain,
    ( ~ pd0_30
    | pd0_36
    | op1(e12,e13) = e12 ),
    inference(cnf_transformation,[status(esa)],[f530]) ).

fof(f532,plain,
    ( ~ pd0_30
    | pd0_36
    | op1(e13,e12) = e12 ),
    inference(cnf_transformation,[status(esa)],[f530]) ).

fof(f534,plain,
    ( ~ pd0_30
    | pd0_36
    | op1(e11,e12) != e11 ),
    inference(cnf_transformation,[status(esa)],[f530]) ).

fof(f537,plain,
    ( ~ pd0_31
    | ( op1(e10,e10) = op1(e10,e10)
      & op1(e10,e10) != op1(e10,e10)
      & op1(e10,op1(e10,e10)) = e10 )
    | ( op1(e11,e10) = op1(e10,e11)
      & op1(e11,e11) != op1(e10,e11)
      & op1(e11,op1(e10,e11)) = e11 )
    | ( op1(e12,e10) = op1(e10,e12)
      & op1(e12,e12) != op1(e10,e12)
      & op1(e12,op1(e10,e12)) = e12 )
    | ( op1(e13,e10) = op1(e10,e13)
      & op1(e13,e13) != op1(e10,e13)
      & op1(e13,op1(e10,e13)) = e13 )
    | ( op1(e10,e11) = op1(e11,e10)
      & op1(e10,e10) != op1(e11,e10)
      & op1(e10,op1(e11,e10)) = e10 )
    | ( op1(e11,e11) = op1(e11,e11)
      & op1(e11,e11) != op1(e11,e11)
      & op1(e11,op1(e11,e11)) = e11 )
    | ( op1(e12,e11) = op1(e11,e12)
      & op1(e12,e12) != op1(e11,e12)
      & op1(e12,op1(e11,e12)) = e12 )
    | ( op1(e13,e11) = op1(e11,e13)
      & op1(e13,e13) != op1(e11,e13)
      & op1(e13,op1(e11,e13)) = e13 )
    | ( op1(e10,e12) = op1(e12,e10)
      & op1(e10,e10) != op1(e12,e10)
      & op1(e10,op1(e12,e10)) = e10 )
    | ( op1(e11,e12) = op1(e12,e11)
      & op1(e11,e11) != op1(e12,e11)
      & op1(e11,op1(e12,e11)) = e11 )
    | ( op1(e12,e12) = op1(e12,e12)
      & op1(e12,e12) != op1(e12,e12)
      & op1(e12,op1(e12,e12)) = e12 )
    | ( op1(e13,e12) = op1(e12,e13)
      & op1(e13,e13) != op1(e12,e13)
      & op1(e13,op1(e12,e13)) = e13 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f492]) ).

fof(f538,plain,
    ( pd0_37
   => ( ( op1(e10,e10) = op1(e10,e10)
        & op1(e10,e10) != op1(e10,e10)
        & op1(e10,op1(e10,e10)) = e10 )
      | ( op1(e11,e10) = op1(e10,e11)
        & op1(e11,e11) != op1(e10,e11)
        & op1(e11,op1(e10,e11)) = e11 )
      | ( op1(e12,e10) = op1(e10,e12)
        & op1(e12,e12) != op1(e10,e12)
        & op1(e12,op1(e10,e12)) = e12 )
      | ( op1(e13,e10) = op1(e10,e13)
        & op1(e13,e13) != op1(e10,e13)
        & op1(e13,op1(e10,e13)) = e13 )
      | ( op1(e10,e11) = op1(e11,e10)
        & op1(e10,e10) != op1(e11,e10)
        & op1(e10,op1(e11,e10)) = e10 )
      | ( op1(e11,e11) = op1(e11,e11)
        & op1(e11,e11) != op1(e11,e11)
        & op1(e11,op1(e11,e11)) = e11 )
      | ( op1(e12,e11) = op1(e11,e12)
        & op1(e12,e12) != op1(e11,e12)
        & op1(e12,op1(e11,e12)) = e12 )
      | ( op1(e13,e11) = op1(e11,e13)
        & op1(e13,e13) != op1(e11,e13)
        & op1(e13,op1(e11,e13)) = e13 )
      | ( op1(e10,e12) = op1(e12,e10)
        & op1(e10,e10) != op1(e12,e10)
        & op1(e10,op1(e12,e10)) = e10 )
      | ( op1(e11,e12) = op1(e12,e11)
        & op1(e11,e11) != op1(e12,e11)
        & op1(e11,op1(e12,e11)) = e11 )
      | ( op1(e12,e12) = op1(e12,e12)
        & op1(e12,e12) != op1(e12,e12)
        & op1(e12,op1(e12,e12)) = e12 ) ) ),
    introduced(predicate_definition,[f537]) ).

fof(f539,plain,
    ( ~ pd0_31
    | pd0_37
    | ( op1(e13,e12) = op1(e12,e13)
      & op1(e13,e13) != op1(e12,e13)
      & op1(e13,op1(e12,e13)) = e13 ) ),
    inference(formula_renaming,[status(thm)],[f537,f538]) ).

fof(f540,plain,
    ( ~ pd0_31
    | pd0_37
    | op1(e13,e12) = op1(e12,e13) ),
    inference(cnf_transformation,[status(esa)],[f539]) ).

fof(f543,plain,
    ( ~ pd0_32
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | ( ( op1(e10,e10) != e10
            | op1(e10,e10) != e10 )
          & ( op1(e10,e10) != e11
            | op1(e10,e10) != e11 )
          & ( op1(e10,e10) != e12
            | op1(e10,e10) != e12 )
          & ( op1(e10,e10) != e13
            | op1(e10,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | ( ( op1(e10,e11) != e10
            | op1(e11,e10) != e10 )
          & ( op1(e10,e11) != e11
            | op1(e11,e10) != e11 )
          & ( op1(e10,e11) != e12
            | op1(e11,e10) != e12 )
          & ( op1(e10,e11) != e13
            | op1(e11,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | ( ( op1(e10,e12) != e10
            | op1(e12,e10) != e10 )
          & ( op1(e10,e12) != e11
            | op1(e12,e10) != e11 )
          & ( op1(e10,e12) != e12
            | op1(e12,e10) != e12 )
          & ( op1(e10,e12) != e13
            | op1(e12,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e13
      & ( op1(e10,e10) != e13
        | ( ( op1(e10,e13) != e10
            | op1(e13,e10) != e10 )
          & ( op1(e10,e13) != e11
            | op1(e13,e10) != e11 )
          & ( op1(e10,e13) != e12
            | op1(e13,e10) != e12 )
          & ( op1(e10,e13) != e13
            | op1(e13,e10) != e13 ) ) ) )
    | ( op1(e11,e11) = e10
      & ( op1(e11,e11) != e10
        | ( ( op1(e11,e10) != e10
            | op1(e10,e11) != e10 )
          & ( op1(e11,e10) != e11
            | op1(e10,e11) != e11 )
          & ( op1(e11,e10) != e12
            | op1(e10,e11) != e12 )
          & ( op1(e11,e10) != e13
            | op1(e10,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e11
      & ( op1(e11,e11) != e11
        | ( ( op1(e11,e11) != e10
            | op1(e11,e11) != e10 )
          & ( op1(e11,e11) != e11
            | op1(e11,e11) != e11 )
          & ( op1(e11,e11) != e12
            | op1(e11,e11) != e12 )
          & ( op1(e11,e11) != e13
            | op1(e11,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e12
      & ( op1(e11,e11) != e12
        | ( ( op1(e11,e12) != e10
            | op1(e12,e11) != e10 )
          & ( op1(e11,e12) != e11
            | op1(e12,e11) != e11 )
          & ( op1(e11,e12) != e12
            | op1(e12,e11) != e12 )
          & ( op1(e11,e12) != e13
            | op1(e12,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e13
      & ( op1(e11,e11) != e13
        | ( ( op1(e11,e13) != e10
            | op1(e13,e11) != e10 )
          & ( op1(e11,e13) != e11
            | op1(e13,e11) != e11 )
          & ( op1(e11,e13) != e12
            | op1(e13,e11) != e12 )
          & ( op1(e11,e13) != e13
            | op1(e13,e11) != e13 ) ) ) )
    | ( op1(e12,e12) = e10
      & ( op1(e12,e12) != e10
        | ( ( op1(e12,e10) != e10
            | op1(e10,e12) != e10 )
          & ( op1(e12,e10) != e11
            | op1(e10,e12) != e11 )
          & ( op1(e12,e10) != e12
            | op1(e10,e12) != e12 )
          & ( op1(e12,e10) != e13
            | op1(e10,e12) != e13 ) ) ) )
    | ( op1(e12,e12) = e11
      & ( op1(e12,e12) != e11
        | ( ( op1(e12,e11) != e10
            | op1(e11,e12) != e10 )
          & ( op1(e12,e11) != e11
            | op1(e11,e12) != e11 )
          & ( op1(e12,e11) != e12
            | op1(e11,e12) != e12 )
          & ( op1(e12,e11) != e13
            | op1(e11,e12) != e13 ) ) ) )
    | ( op1(e12,e12) = e12
      & ( op1(e12,e12) != e12
        | ( ( op1(e12,e12) != e10
            | op1(e12,e12) != e10 )
          & ( op1(e12,e12) != e11
            | op1(e12,e12) != e11 )
          & ( op1(e12,e12) != e12
            | op1(e12,e12) != e12 )
          & ( op1(e12,e12) != e13
            | op1(e12,e12) != e13 ) ) ) )
    | ( op1(e12,e12) = e13
      & ( op1(e12,e12) != e13
        | ( ( op1(e12,e13) != e10
            | op1(e13,e12) != e10 )
          & ( op1(e12,e13) != e11
            | op1(e13,e12) != e11 )
          & ( op1(e12,e13) != e12
            | op1(e13,e12) != e12 )
          & ( op1(e12,e13) != e13
            | op1(e13,e12) != e13 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f498]) ).

fof(f544,plain,
    ( pd0_38
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | ( ( op1(e10,e10) != e10
              | op1(e10,e10) != e10 )
            & ( op1(e10,e10) != e11
              | op1(e10,e10) != e11 )
            & ( op1(e10,e10) != e12
              | op1(e10,e10) != e12 )
            & ( op1(e10,e10) != e13
              | op1(e10,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | ( ( op1(e10,e11) != e10
              | op1(e11,e10) != e10 )
            & ( op1(e10,e11) != e11
              | op1(e11,e10) != e11 )
            & ( op1(e10,e11) != e12
              | op1(e11,e10) != e12 )
            & ( op1(e10,e11) != e13
              | op1(e11,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | ( ( op1(e10,e12) != e10
              | op1(e12,e10) != e10 )
            & ( op1(e10,e12) != e11
              | op1(e12,e10) != e11 )
            & ( op1(e10,e12) != e12
              | op1(e12,e10) != e12 )
            & ( op1(e10,e12) != e13
              | op1(e12,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e13
        & ( op1(e10,e10) != e13
          | ( ( op1(e10,e13) != e10
              | op1(e13,e10) != e10 )
            & ( op1(e10,e13) != e11
              | op1(e13,e10) != e11 )
            & ( op1(e10,e13) != e12
              | op1(e13,e10) != e12 )
            & ( op1(e10,e13) != e13
              | op1(e13,e10) != e13 ) ) ) )
      | ( op1(e11,e11) = e10
        & ( op1(e11,e11) != e10
          | ( ( op1(e11,e10) != e10
              | op1(e10,e11) != e10 )
            & ( op1(e11,e10) != e11
              | op1(e10,e11) != e11 )
            & ( op1(e11,e10) != e12
              | op1(e10,e11) != e12 )
            & ( op1(e11,e10) != e13
              | op1(e10,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e11
        & ( op1(e11,e11) != e11
          | ( ( op1(e11,e11) != e10
              | op1(e11,e11) != e10 )
            & ( op1(e11,e11) != e11
              | op1(e11,e11) != e11 )
            & ( op1(e11,e11) != e12
              | op1(e11,e11) != e12 )
            & ( op1(e11,e11) != e13
              | op1(e11,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e12
        & ( op1(e11,e11) != e12
          | ( ( op1(e11,e12) != e10
              | op1(e12,e11) != e10 )
            & ( op1(e11,e12) != e11
              | op1(e12,e11) != e11 )
            & ( op1(e11,e12) != e12
              | op1(e12,e11) != e12 )
            & ( op1(e11,e12) != e13
              | op1(e12,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e13
        & ( op1(e11,e11) != e13
          | ( ( op1(e11,e13) != e10
              | op1(e13,e11) != e10 )
            & ( op1(e11,e13) != e11
              | op1(e13,e11) != e11 )
            & ( op1(e11,e13) != e12
              | op1(e13,e11) != e12 )
            & ( op1(e11,e13) != e13
              | op1(e13,e11) != e13 ) ) ) )
      | ( op1(e12,e12) = e10
        & ( op1(e12,e12) != e10
          | ( ( op1(e12,e10) != e10
              | op1(e10,e12) != e10 )
            & ( op1(e12,e10) != e11
              | op1(e10,e12) != e11 )
            & ( op1(e12,e10) != e12
              | op1(e10,e12) != e12 )
            & ( op1(e12,e10) != e13
              | op1(e10,e12) != e13 ) ) ) )
      | ( op1(e12,e12) = e11
        & ( op1(e12,e12) != e11
          | ( ( op1(e12,e11) != e10
              | op1(e11,e12) != e10 )
            & ( op1(e12,e11) != e11
              | op1(e11,e12) != e11 )
            & ( op1(e12,e11) != e12
              | op1(e11,e12) != e12 )
            & ( op1(e12,e11) != e13
              | op1(e11,e12) != e13 ) ) ) )
      | ( op1(e12,e12) = e12
        & ( op1(e12,e12) != e12
          | ( ( op1(e12,e12) != e10
              | op1(e12,e12) != e10 )
            & ( op1(e12,e12) != e11
              | op1(e12,e12) != e11 )
            & ( op1(e12,e12) != e12
              | op1(e12,e12) != e12 )
            & ( op1(e12,e12) != e13
              | op1(e12,e12) != e13 ) ) ) ) ) ),
    introduced(predicate_definition,[f543]) ).

fof(f545,plain,
    ( ~ pd0_32
    | pd0_38
    | ( op1(e12,e12) = e13
      & ( op1(e12,e12) != e13
        | ( ( op1(e12,e13) != e10
            | op1(e13,e12) != e10 )
          & ( op1(e12,e13) != e11
            | op1(e13,e12) != e11 )
          & ( op1(e12,e13) != e12
            | op1(e13,e12) != e12 )
          & ( op1(e12,e13) != e13
            | op1(e13,e12) != e13 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f543,f544]) ).

fof(f546,plain,
    ( ~ pd0_32
    | pd0_38
    | op1(e12,e12) = e13 ),
    inference(cnf_transformation,[status(esa)],[f545]) ).

fof(f548,plain,
    ( ~ pd0_32
    | pd0_38
    | op1(e12,e12) != e13
    | op1(e12,e13) != e11
    | op1(e13,e12) != e11 ),
    inference(cnf_transformation,[status(esa)],[f545]) ).

fof(f551,plain,
    ( ~ pd0_33
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e23) = e20
      & op2(e23,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e21,e20) = e21
      & op2(e20,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e21) = e21
      & op2(e21,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e22) = e21
      & op2(e22,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e23) = e21
      & op2(e23,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e22,e20) = e22
      & op2(e20,e22) = e22
      & op2(e20,e22) != e20
      & op2(e21,e22) != e21
      & op2(e22,e22) != e22
      & op2(e23,e22) != e23 )
    | ( op2(e22,e21) = e22
      & op2(e21,e22) = e22
      & op2(e20,e22) != e20
      & op2(e21,e22) != e21
      & op2(e22,e22) != e22
      & op2(e23,e22) != e23 )
    | ( op2(e22,e22) = e22
      & op2(e22,e22) = e22
      & op2(e20,e22) != e20
      & op2(e21,e22) != e21
      & op2(e22,e22) != e22
      & op2(e23,e22) != e23 )
    | ( op2(e22,e23) = e22
      & op2(e23,e22) = e22
      & op2(e20,e22) != e20
      & op2(e21,e22) != e21
      & op2(e22,e22) != e22
      & op2(e23,e22) != e23 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f506]) ).

fof(f552,plain,
    ( pd0_39
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e23) = e21
        & op2(e23,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e22,e20) = e22
        & op2(e20,e22) = e22
        & op2(e20,e22) != e20
        & op2(e21,e22) != e21
        & op2(e22,e22) != e22
        & op2(e23,e22) != e23 )
      | ( op2(e22,e21) = e22
        & op2(e21,e22) = e22
        & op2(e20,e22) != e20
        & op2(e21,e22) != e21
        & op2(e22,e22) != e22
        & op2(e23,e22) != e23 )
      | ( op2(e22,e22) = e22
        & op2(e22,e22) = e22
        & op2(e20,e22) != e20
        & op2(e21,e22) != e21
        & op2(e22,e22) != e22
        & op2(e23,e22) != e23 ) ) ),
    introduced(predicate_definition,[f551]) ).

fof(f553,plain,
    ( ~ pd0_33
    | pd0_39
    | ( op2(e22,e23) = e22
      & op2(e23,e22) = e22
      & op2(e20,e22) != e20
      & op2(e21,e22) != e21
      & op2(e22,e22) != e22
      & op2(e23,e22) != e23 ) ),
    inference(formula_renaming,[status(thm)],[f551,f552]) ).

fof(f554,plain,
    ( ~ pd0_33
    | pd0_39
    | op2(e22,e23) = e22 ),
    inference(cnf_transformation,[status(esa)],[f553]) ).

fof(f555,plain,
    ( ~ pd0_33
    | pd0_39
    | op2(e23,e22) = e22 ),
    inference(cnf_transformation,[status(esa)],[f553]) ).

fof(f560,plain,
    ( ~ pd0_34
    | ( op2(e20,e20) = op2(e20,e20)
      & op2(e20,e20) != op2(e20,e20)
      & op2(e20,op2(e20,e20)) = e20 )
    | ( op2(e21,e20) = op2(e20,e21)
      & op2(e21,e21) != op2(e20,e21)
      & op2(e21,op2(e20,e21)) = e21 )
    | ( op2(e22,e20) = op2(e20,e22)
      & op2(e22,e22) != op2(e20,e22)
      & op2(e22,op2(e20,e22)) = e22 )
    | ( op2(e23,e20) = op2(e20,e23)
      & op2(e23,e23) != op2(e20,e23)
      & op2(e23,op2(e20,e23)) = e23 )
    | ( op2(e20,e21) = op2(e21,e20)
      & op2(e20,e20) != op2(e21,e20)
      & op2(e20,op2(e21,e20)) = e20 )
    | ( op2(e21,e21) = op2(e21,e21)
      & op2(e21,e21) != op2(e21,e21)
      & op2(e21,op2(e21,e21)) = e21 )
    | ( op2(e22,e21) = op2(e21,e22)
      & op2(e22,e22) != op2(e21,e22)
      & op2(e22,op2(e21,e22)) = e22 )
    | ( op2(e23,e21) = op2(e21,e23)
      & op2(e23,e23) != op2(e21,e23)
      & op2(e23,op2(e21,e23)) = e23 )
    | ( op2(e20,e22) = op2(e22,e20)
      & op2(e20,e20) != op2(e22,e20)
      & op2(e20,op2(e22,e20)) = e20 )
    | ( op2(e21,e22) = op2(e22,e21)
      & op2(e21,e21) != op2(e22,e21)
      & op2(e21,op2(e22,e21)) = e21 )
    | ( op2(e22,e22) = op2(e22,e22)
      & op2(e22,e22) != op2(e22,e22)
      & op2(e22,op2(e22,e22)) = e22 )
    | ( op2(e23,e22) = op2(e22,e23)
      & op2(e23,e23) != op2(e22,e23)
      & op2(e23,op2(e22,e23)) = e23 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f515]) ).

fof(f561,plain,
    ( pd0_40
   => ( ( op2(e20,e20) = op2(e20,e20)
        & op2(e20,e20) != op2(e20,e20)
        & op2(e20,op2(e20,e20)) = e20 )
      | ( op2(e21,e20) = op2(e20,e21)
        & op2(e21,e21) != op2(e20,e21)
        & op2(e21,op2(e20,e21)) = e21 )
      | ( op2(e22,e20) = op2(e20,e22)
        & op2(e22,e22) != op2(e20,e22)
        & op2(e22,op2(e20,e22)) = e22 )
      | ( op2(e23,e20) = op2(e20,e23)
        & op2(e23,e23) != op2(e20,e23)
        & op2(e23,op2(e20,e23)) = e23 )
      | ( op2(e20,e21) = op2(e21,e20)
        & op2(e20,e20) != op2(e21,e20)
        & op2(e20,op2(e21,e20)) = e20 )
      | ( op2(e21,e21) = op2(e21,e21)
        & op2(e21,e21) != op2(e21,e21)
        & op2(e21,op2(e21,e21)) = e21 )
      | ( op2(e22,e21) = op2(e21,e22)
        & op2(e22,e22) != op2(e21,e22)
        & op2(e22,op2(e21,e22)) = e22 )
      | ( op2(e23,e21) = op2(e21,e23)
        & op2(e23,e23) != op2(e21,e23)
        & op2(e23,op2(e21,e23)) = e23 )
      | ( op2(e20,e22) = op2(e22,e20)
        & op2(e20,e20) != op2(e22,e20)
        & op2(e20,op2(e22,e20)) = e20 )
      | ( op2(e21,e22) = op2(e22,e21)
        & op2(e21,e21) != op2(e22,e21)
        & op2(e21,op2(e22,e21)) = e21 )
      | ( op2(e22,e22) = op2(e22,e22)
        & op2(e22,e22) != op2(e22,e22)
        & op2(e22,op2(e22,e22)) = e22 ) ) ),
    introduced(predicate_definition,[f560]) ).

fof(f562,plain,
    ( ~ pd0_34
    | pd0_40
    | ( op2(e23,e22) = op2(e22,e23)
      & op2(e23,e23) != op2(e22,e23)
      & op2(e23,op2(e22,e23)) = e23 ) ),
    inference(formula_renaming,[status(thm)],[f560,f561]) ).

fof(f563,plain,
    ( ~ pd0_34
    | pd0_40
    | op2(e23,e22) = op2(e22,e23) ),
    inference(cnf_transformation,[status(esa)],[f562]) ).

fof(f564,plain,
    ( ~ pd0_34
    | pd0_40
    | op2(e23,e23) != op2(e22,e23) ),
    inference(cnf_transformation,[status(esa)],[f562]) ).

fof(f565,plain,
    ( ~ pd0_34
    | pd0_40
    | op2(e23,op2(e22,e23)) = e23 ),
    inference(cnf_transformation,[status(esa)],[f562]) ).

fof(f566,plain,
    ( ~ pd0_35
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | ( ( op2(e20,e20) != e20
            | op2(e20,e20) != e20 )
          & ( op2(e20,e20) != e21
            | op2(e20,e20) != e21 )
          & ( op2(e20,e20) != e22
            | op2(e20,e20) != e22 )
          & ( op2(e20,e20) != e23
            | op2(e20,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | ( ( op2(e20,e21) != e20
            | op2(e21,e20) != e20 )
          & ( op2(e20,e21) != e21
            | op2(e21,e20) != e21 )
          & ( op2(e20,e21) != e22
            | op2(e21,e20) != e22 )
          & ( op2(e20,e21) != e23
            | op2(e21,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | ( ( op2(e20,e22) != e20
            | op2(e22,e20) != e20 )
          & ( op2(e20,e22) != e21
            | op2(e22,e20) != e21 )
          & ( op2(e20,e22) != e22
            | op2(e22,e20) != e22 )
          & ( op2(e20,e22) != e23
            | op2(e22,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e23
      & ( op2(e20,e20) != e23
        | ( ( op2(e20,e23) != e20
            | op2(e23,e20) != e20 )
          & ( op2(e20,e23) != e21
            | op2(e23,e20) != e21 )
          & ( op2(e20,e23) != e22
            | op2(e23,e20) != e22 )
          & ( op2(e20,e23) != e23
            | op2(e23,e20) != e23 ) ) ) )
    | ( op2(e21,e21) = e20
      & ( op2(e21,e21) != e20
        | ( ( op2(e21,e20) != e20
            | op2(e20,e21) != e20 )
          & ( op2(e21,e20) != e21
            | op2(e20,e21) != e21 )
          & ( op2(e21,e20) != e22
            | op2(e20,e21) != e22 )
          & ( op2(e21,e20) != e23
            | op2(e20,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e21
      & ( op2(e21,e21) != e21
        | ( ( op2(e21,e21) != e20
            | op2(e21,e21) != e20 )
          & ( op2(e21,e21) != e21
            | op2(e21,e21) != e21 )
          & ( op2(e21,e21) != e22
            | op2(e21,e21) != e22 )
          & ( op2(e21,e21) != e23
            | op2(e21,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e22
      & ( op2(e21,e21) != e22
        | ( ( op2(e21,e22) != e20
            | op2(e22,e21) != e20 )
          & ( op2(e21,e22) != e21
            | op2(e22,e21) != e21 )
          & ( op2(e21,e22) != e22
            | op2(e22,e21) != e22 )
          & ( op2(e21,e22) != e23
            | op2(e22,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e23
      & ( op2(e21,e21) != e23
        | ( ( op2(e21,e23) != e20
            | op2(e23,e21) != e20 )
          & ( op2(e21,e23) != e21
            | op2(e23,e21) != e21 )
          & ( op2(e21,e23) != e22
            | op2(e23,e21) != e22 )
          & ( op2(e21,e23) != e23
            | op2(e23,e21) != e23 ) ) ) )
    | ( op2(e22,e22) = e20
      & ( op2(e22,e22) != e20
        | ( ( op2(e22,e20) != e20
            | op2(e20,e22) != e20 )
          & ( op2(e22,e20) != e21
            | op2(e20,e22) != e21 )
          & ( op2(e22,e20) != e22
            | op2(e20,e22) != e22 )
          & ( op2(e22,e20) != e23
            | op2(e20,e22) != e23 ) ) ) )
    | ( op2(e22,e22) = e21
      & ( op2(e22,e22) != e21
        | ( ( op2(e22,e21) != e20
            | op2(e21,e22) != e20 )
          & ( op2(e22,e21) != e21
            | op2(e21,e22) != e21 )
          & ( op2(e22,e21) != e22
            | op2(e21,e22) != e22 )
          & ( op2(e22,e21) != e23
            | op2(e21,e22) != e23 ) ) ) )
    | ( op2(e22,e22) = e22
      & ( op2(e22,e22) != e22
        | ( ( op2(e22,e22) != e20
            | op2(e22,e22) != e20 )
          & ( op2(e22,e22) != e21
            | op2(e22,e22) != e21 )
          & ( op2(e22,e22) != e22
            | op2(e22,e22) != e22 )
          & ( op2(e22,e22) != e23
            | op2(e22,e22) != e23 ) ) ) )
    | ( op2(e22,e22) = e23
      & ( op2(e22,e22) != e23
        | ( ( op2(e22,e23) != e20
            | op2(e23,e22) != e20 )
          & ( op2(e22,e23) != e21
            | op2(e23,e22) != e21 )
          & ( op2(e22,e23) != e22
            | op2(e23,e22) != e22 )
          & ( op2(e22,e23) != e23
            | op2(e23,e22) != e23 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f521]) ).

fof(f567,plain,
    ( pd0_41
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | ( ( op2(e20,e20) != e20
              | op2(e20,e20) != e20 )
            & ( op2(e20,e20) != e21
              | op2(e20,e20) != e21 )
            & ( op2(e20,e20) != e22
              | op2(e20,e20) != e22 )
            & ( op2(e20,e20) != e23
              | op2(e20,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | ( ( op2(e20,e21) != e20
              | op2(e21,e20) != e20 )
            & ( op2(e20,e21) != e21
              | op2(e21,e20) != e21 )
            & ( op2(e20,e21) != e22
              | op2(e21,e20) != e22 )
            & ( op2(e20,e21) != e23
              | op2(e21,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | ( ( op2(e20,e22) != e20
              | op2(e22,e20) != e20 )
            & ( op2(e20,e22) != e21
              | op2(e22,e20) != e21 )
            & ( op2(e20,e22) != e22
              | op2(e22,e20) != e22 )
            & ( op2(e20,e22) != e23
              | op2(e22,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e23
        & ( op2(e20,e20) != e23
          | ( ( op2(e20,e23) != e20
              | op2(e23,e20) != e20 )
            & ( op2(e20,e23) != e21
              | op2(e23,e20) != e21 )
            & ( op2(e20,e23) != e22
              | op2(e23,e20) != e22 )
            & ( op2(e20,e23) != e23
              | op2(e23,e20) != e23 ) ) ) )
      | ( op2(e21,e21) = e20
        & ( op2(e21,e21) != e20
          | ( ( op2(e21,e20) != e20
              | op2(e20,e21) != e20 )
            & ( op2(e21,e20) != e21
              | op2(e20,e21) != e21 )
            & ( op2(e21,e20) != e22
              | op2(e20,e21) != e22 )
            & ( op2(e21,e20) != e23
              | op2(e20,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e21
        & ( op2(e21,e21) != e21
          | ( ( op2(e21,e21) != e20
              | op2(e21,e21) != e20 )
            & ( op2(e21,e21) != e21
              | op2(e21,e21) != e21 )
            & ( op2(e21,e21) != e22
              | op2(e21,e21) != e22 )
            & ( op2(e21,e21) != e23
              | op2(e21,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e22
        & ( op2(e21,e21) != e22
          | ( ( op2(e21,e22) != e20
              | op2(e22,e21) != e20 )
            & ( op2(e21,e22) != e21
              | op2(e22,e21) != e21 )
            & ( op2(e21,e22) != e22
              | op2(e22,e21) != e22 )
            & ( op2(e21,e22) != e23
              | op2(e22,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e23
        & ( op2(e21,e21) != e23
          | ( ( op2(e21,e23) != e20
              | op2(e23,e21) != e20 )
            & ( op2(e21,e23) != e21
              | op2(e23,e21) != e21 )
            & ( op2(e21,e23) != e22
              | op2(e23,e21) != e22 )
            & ( op2(e21,e23) != e23
              | op2(e23,e21) != e23 ) ) ) )
      | ( op2(e22,e22) = e20
        & ( op2(e22,e22) != e20
          | ( ( op2(e22,e20) != e20
              | op2(e20,e22) != e20 )
            & ( op2(e22,e20) != e21
              | op2(e20,e22) != e21 )
            & ( op2(e22,e20) != e22
              | op2(e20,e22) != e22 )
            & ( op2(e22,e20) != e23
              | op2(e20,e22) != e23 ) ) ) )
      | ( op2(e22,e22) = e21
        & ( op2(e22,e22) != e21
          | ( ( op2(e22,e21) != e20
              | op2(e21,e22) != e20 )
            & ( op2(e22,e21) != e21
              | op2(e21,e22) != e21 )
            & ( op2(e22,e21) != e22
              | op2(e21,e22) != e22 )
            & ( op2(e22,e21) != e23
              | op2(e21,e22) != e23 ) ) ) )
      | ( op2(e22,e22) = e22
        & ( op2(e22,e22) != e22
          | ( ( op2(e22,e22) != e20
              | op2(e22,e22) != e20 )
            & ( op2(e22,e22) != e21
              | op2(e22,e22) != e21 )
            & ( op2(e22,e22) != e22
              | op2(e22,e22) != e22 )
            & ( op2(e22,e22) != e23
              | op2(e22,e22) != e23 ) ) ) ) ) ),
    introduced(predicate_definition,[f566]) ).

fof(f568,plain,
    ( ~ pd0_35
    | pd0_41
    | ( op2(e22,e22) = e23
      & ( op2(e22,e22) != e23
        | ( ( op2(e22,e23) != e20
            | op2(e23,e22) != e20 )
          & ( op2(e22,e23) != e21
            | op2(e23,e22) != e21 )
          & ( op2(e22,e23) != e22
            | op2(e23,e22) != e22 )
          & ( op2(e22,e23) != e23
            | op2(e23,e22) != e23 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f566,f567]) ).

fof(f569,plain,
    ( ~ pd0_35
    | pd0_41
    | op2(e22,e22) = e23 ),
    inference(cnf_transformation,[status(esa)],[f568]) ).

fof(f570,plain,
    ( ~ pd0_35
    | pd0_41
    | op2(e22,e22) != e23
    | op2(e22,e23) != e20
    | op2(e23,e22) != e20 ),
    inference(cnf_transformation,[status(esa)],[f568]) ).

fof(f571,plain,
    ( ~ pd0_35
    | pd0_41
    | op2(e22,e22) != e23
    | op2(e22,e23) != e21
    | op2(e23,e22) != e21 ),
    inference(cnf_transformation,[status(esa)],[f568]) ).

fof(f573,plain,
    ( ~ pd0_35
    | pd0_41
    | op2(e22,e22) != e23
    | op2(e22,e23) != e23
    | op2(e23,e22) != e23 ),
    inference(cnf_transformation,[status(esa)],[f568]) ).

fof(f574,plain,
    ( ~ pd0_36
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e13) = e10
      & op1(e13,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e11,e10) = e11
      & op1(e10,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e11) = e11
      & op1(e11,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e12) = e11
      & op1(e12,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e13) = e11
      & op1(e13,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e12,e10) = e12
      & op1(e10,e12) = e12
      & op1(e10,e12) != e10
      & op1(e11,e12) != e11
      & op1(e12,e12) != e12
      & op1(e13,e12) != e13 )
    | ( op1(e12,e11) = e12
      & op1(e11,e12) = e12
      & op1(e10,e12) != e10
      & op1(e11,e12) != e11
      & op1(e12,e12) != e12
      & op1(e13,e12) != e13 )
    | ( op1(e12,e12) = e12
      & op1(e12,e12) = e12
      & op1(e10,e12) != e10
      & op1(e11,e12) != e11
      & op1(e12,e12) != e12
      & op1(e13,e12) != e13 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f529]) ).

fof(f575,plain,
    ( pd0_42
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e12,e10) = e12
        & op1(e10,e12) = e12
        & op1(e10,e12) != e10
        & op1(e11,e12) != e11
        & op1(e12,e12) != e12
        & op1(e13,e12) != e13 )
      | ( op1(e12,e11) = e12
        & op1(e11,e12) = e12
        & op1(e10,e12) != e10
        & op1(e11,e12) != e11
        & op1(e12,e12) != e12
        & op1(e13,e12) != e13 ) ) ),
    introduced(predicate_definition,[f574]) ).

fof(f576,plain,
    ( ~ pd0_36
    | pd0_42
    | ( op1(e12,e12) = e12
      & op1(e12,e12) = e12
      & op1(e10,e12) != e10
      & op1(e11,e12) != e11
      & op1(e12,e12) != e12
      & op1(e13,e12) != e13 ) ),
    inference(formula_renaming,[status(thm)],[f574,f575]) ).

fof(f577,plain,
    ( ~ pd0_36
    | pd0_42
    | op1(e12,e12) = e12 ),
    inference(cnf_transformation,[status(esa)],[f576]) ).

fof(f579,plain,
    ( ~ pd0_36
    | pd0_42
    | op1(e10,e12) != e10 ),
    inference(cnf_transformation,[status(esa)],[f576]) ).

fof(f583,plain,
    ( ~ pd0_37
    | ( op1(e10,e10) = op1(e10,e10)
      & op1(e10,e10) != op1(e10,e10)
      & op1(e10,op1(e10,e10)) = e10 )
    | ( op1(e11,e10) = op1(e10,e11)
      & op1(e11,e11) != op1(e10,e11)
      & op1(e11,op1(e10,e11)) = e11 )
    | ( op1(e12,e10) = op1(e10,e12)
      & op1(e12,e12) != op1(e10,e12)
      & op1(e12,op1(e10,e12)) = e12 )
    | ( op1(e13,e10) = op1(e10,e13)
      & op1(e13,e13) != op1(e10,e13)
      & op1(e13,op1(e10,e13)) = e13 )
    | ( op1(e10,e11) = op1(e11,e10)
      & op1(e10,e10) != op1(e11,e10)
      & op1(e10,op1(e11,e10)) = e10 )
    | ( op1(e11,e11) = op1(e11,e11)
      & op1(e11,e11) != op1(e11,e11)
      & op1(e11,op1(e11,e11)) = e11 )
    | ( op1(e12,e11) = op1(e11,e12)
      & op1(e12,e12) != op1(e11,e12)
      & op1(e12,op1(e11,e12)) = e12 )
    | ( op1(e13,e11) = op1(e11,e13)
      & op1(e13,e13) != op1(e11,e13)
      & op1(e13,op1(e11,e13)) = e13 )
    | ( op1(e10,e12) = op1(e12,e10)
      & op1(e10,e10) != op1(e12,e10)
      & op1(e10,op1(e12,e10)) = e10 )
    | ( op1(e11,e12) = op1(e12,e11)
      & op1(e11,e11) != op1(e12,e11)
      & op1(e11,op1(e12,e11)) = e11 )
    | ( op1(e12,e12) = op1(e12,e12)
      & op1(e12,e12) != op1(e12,e12)
      & op1(e12,op1(e12,e12)) = e12 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f538]) ).

fof(f584,plain,
    ( pd0_43
   => ( ( op1(e10,e10) = op1(e10,e10)
        & op1(e10,e10) != op1(e10,e10)
        & op1(e10,op1(e10,e10)) = e10 )
      | ( op1(e11,e10) = op1(e10,e11)
        & op1(e11,e11) != op1(e10,e11)
        & op1(e11,op1(e10,e11)) = e11 )
      | ( op1(e12,e10) = op1(e10,e12)
        & op1(e12,e12) != op1(e10,e12)
        & op1(e12,op1(e10,e12)) = e12 )
      | ( op1(e13,e10) = op1(e10,e13)
        & op1(e13,e13) != op1(e10,e13)
        & op1(e13,op1(e10,e13)) = e13 )
      | ( op1(e10,e11) = op1(e11,e10)
        & op1(e10,e10) != op1(e11,e10)
        & op1(e10,op1(e11,e10)) = e10 )
      | ( op1(e11,e11) = op1(e11,e11)
        & op1(e11,e11) != op1(e11,e11)
        & op1(e11,op1(e11,e11)) = e11 )
      | ( op1(e12,e11) = op1(e11,e12)
        & op1(e12,e12) != op1(e11,e12)
        & op1(e12,op1(e11,e12)) = e12 )
      | ( op1(e13,e11) = op1(e11,e13)
        & op1(e13,e13) != op1(e11,e13)
        & op1(e13,op1(e11,e13)) = e13 )
      | ( op1(e10,e12) = op1(e12,e10)
        & op1(e10,e10) != op1(e12,e10)
        & op1(e10,op1(e12,e10)) = e10 )
      | ( op1(e11,e12) = op1(e12,e11)
        & op1(e11,e11) != op1(e12,e11)
        & op1(e11,op1(e12,e11)) = e11 ) ) ),
    introduced(predicate_definition,[f583]) ).

fof(f585,plain,
    ( ~ pd0_37
    | pd0_43
    | ( op1(e12,e12) = op1(e12,e12)
      & op1(e12,e12) != op1(e12,e12)
      & op1(e12,op1(e12,e12)) = e12 ) ),
    inference(formula_renaming,[status(thm)],[f583,f584]) ).

fof(f586,plain,
    ( ~ pd0_37
    | pd0_43
    | op1(e12,e12) = op1(e12,e12) ),
    inference(cnf_transformation,[status(esa)],[f585]) ).

fof(f587,plain,
    ( ~ pd0_37
    | pd0_43
    | op1(e12,e12) != op1(e12,e12) ),
    inference(cnf_transformation,[status(esa)],[f585]) ).

fof(f588,plain,
    ( ~ pd0_37
    | pd0_43
    | op1(e12,op1(e12,e12)) = e12 ),
    inference(cnf_transformation,[status(esa)],[f585]) ).

fof(f589,plain,
    ( ~ pd0_38
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | ( ( op1(e10,e10) != e10
            | op1(e10,e10) != e10 )
          & ( op1(e10,e10) != e11
            | op1(e10,e10) != e11 )
          & ( op1(e10,e10) != e12
            | op1(e10,e10) != e12 )
          & ( op1(e10,e10) != e13
            | op1(e10,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | ( ( op1(e10,e11) != e10
            | op1(e11,e10) != e10 )
          & ( op1(e10,e11) != e11
            | op1(e11,e10) != e11 )
          & ( op1(e10,e11) != e12
            | op1(e11,e10) != e12 )
          & ( op1(e10,e11) != e13
            | op1(e11,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | ( ( op1(e10,e12) != e10
            | op1(e12,e10) != e10 )
          & ( op1(e10,e12) != e11
            | op1(e12,e10) != e11 )
          & ( op1(e10,e12) != e12
            | op1(e12,e10) != e12 )
          & ( op1(e10,e12) != e13
            | op1(e12,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e13
      & ( op1(e10,e10) != e13
        | ( ( op1(e10,e13) != e10
            | op1(e13,e10) != e10 )
          & ( op1(e10,e13) != e11
            | op1(e13,e10) != e11 )
          & ( op1(e10,e13) != e12
            | op1(e13,e10) != e12 )
          & ( op1(e10,e13) != e13
            | op1(e13,e10) != e13 ) ) ) )
    | ( op1(e11,e11) = e10
      & ( op1(e11,e11) != e10
        | ( ( op1(e11,e10) != e10
            | op1(e10,e11) != e10 )
          & ( op1(e11,e10) != e11
            | op1(e10,e11) != e11 )
          & ( op1(e11,e10) != e12
            | op1(e10,e11) != e12 )
          & ( op1(e11,e10) != e13
            | op1(e10,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e11
      & ( op1(e11,e11) != e11
        | ( ( op1(e11,e11) != e10
            | op1(e11,e11) != e10 )
          & ( op1(e11,e11) != e11
            | op1(e11,e11) != e11 )
          & ( op1(e11,e11) != e12
            | op1(e11,e11) != e12 )
          & ( op1(e11,e11) != e13
            | op1(e11,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e12
      & ( op1(e11,e11) != e12
        | ( ( op1(e11,e12) != e10
            | op1(e12,e11) != e10 )
          & ( op1(e11,e12) != e11
            | op1(e12,e11) != e11 )
          & ( op1(e11,e12) != e12
            | op1(e12,e11) != e12 )
          & ( op1(e11,e12) != e13
            | op1(e12,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e13
      & ( op1(e11,e11) != e13
        | ( ( op1(e11,e13) != e10
            | op1(e13,e11) != e10 )
          & ( op1(e11,e13) != e11
            | op1(e13,e11) != e11 )
          & ( op1(e11,e13) != e12
            | op1(e13,e11) != e12 )
          & ( op1(e11,e13) != e13
            | op1(e13,e11) != e13 ) ) ) )
    | ( op1(e12,e12) = e10
      & ( op1(e12,e12) != e10
        | ( ( op1(e12,e10) != e10
            | op1(e10,e12) != e10 )
          & ( op1(e12,e10) != e11
            | op1(e10,e12) != e11 )
          & ( op1(e12,e10) != e12
            | op1(e10,e12) != e12 )
          & ( op1(e12,e10) != e13
            | op1(e10,e12) != e13 ) ) ) )
    | ( op1(e12,e12) = e11
      & ( op1(e12,e12) != e11
        | ( ( op1(e12,e11) != e10
            | op1(e11,e12) != e10 )
          & ( op1(e12,e11) != e11
            | op1(e11,e12) != e11 )
          & ( op1(e12,e11) != e12
            | op1(e11,e12) != e12 )
          & ( op1(e12,e11) != e13
            | op1(e11,e12) != e13 ) ) ) )
    | ( op1(e12,e12) = e12
      & ( op1(e12,e12) != e12
        | ( ( op1(e12,e12) != e10
            | op1(e12,e12) != e10 )
          & ( op1(e12,e12) != e11
            | op1(e12,e12) != e11 )
          & ( op1(e12,e12) != e12
            | op1(e12,e12) != e12 )
          & ( op1(e12,e12) != e13
            | op1(e12,e12) != e13 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f544]) ).

fof(f590,plain,
    ( pd0_44
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | ( ( op1(e10,e10) != e10
              | op1(e10,e10) != e10 )
            & ( op1(e10,e10) != e11
              | op1(e10,e10) != e11 )
            & ( op1(e10,e10) != e12
              | op1(e10,e10) != e12 )
            & ( op1(e10,e10) != e13
              | op1(e10,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | ( ( op1(e10,e11) != e10
              | op1(e11,e10) != e10 )
            & ( op1(e10,e11) != e11
              | op1(e11,e10) != e11 )
            & ( op1(e10,e11) != e12
              | op1(e11,e10) != e12 )
            & ( op1(e10,e11) != e13
              | op1(e11,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | ( ( op1(e10,e12) != e10
              | op1(e12,e10) != e10 )
            & ( op1(e10,e12) != e11
              | op1(e12,e10) != e11 )
            & ( op1(e10,e12) != e12
              | op1(e12,e10) != e12 )
            & ( op1(e10,e12) != e13
              | op1(e12,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e13
        & ( op1(e10,e10) != e13
          | ( ( op1(e10,e13) != e10
              | op1(e13,e10) != e10 )
            & ( op1(e10,e13) != e11
              | op1(e13,e10) != e11 )
            & ( op1(e10,e13) != e12
              | op1(e13,e10) != e12 )
            & ( op1(e10,e13) != e13
              | op1(e13,e10) != e13 ) ) ) )
      | ( op1(e11,e11) = e10
        & ( op1(e11,e11) != e10
          | ( ( op1(e11,e10) != e10
              | op1(e10,e11) != e10 )
            & ( op1(e11,e10) != e11
              | op1(e10,e11) != e11 )
            & ( op1(e11,e10) != e12
              | op1(e10,e11) != e12 )
            & ( op1(e11,e10) != e13
              | op1(e10,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e11
        & ( op1(e11,e11) != e11
          | ( ( op1(e11,e11) != e10
              | op1(e11,e11) != e10 )
            & ( op1(e11,e11) != e11
              | op1(e11,e11) != e11 )
            & ( op1(e11,e11) != e12
              | op1(e11,e11) != e12 )
            & ( op1(e11,e11) != e13
              | op1(e11,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e12
        & ( op1(e11,e11) != e12
          | ( ( op1(e11,e12) != e10
              | op1(e12,e11) != e10 )
            & ( op1(e11,e12) != e11
              | op1(e12,e11) != e11 )
            & ( op1(e11,e12) != e12
              | op1(e12,e11) != e12 )
            & ( op1(e11,e12) != e13
              | op1(e12,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e13
        & ( op1(e11,e11) != e13
          | ( ( op1(e11,e13) != e10
              | op1(e13,e11) != e10 )
            & ( op1(e11,e13) != e11
              | op1(e13,e11) != e11 )
            & ( op1(e11,e13) != e12
              | op1(e13,e11) != e12 )
            & ( op1(e11,e13) != e13
              | op1(e13,e11) != e13 ) ) ) )
      | ( op1(e12,e12) = e10
        & ( op1(e12,e12) != e10
          | ( ( op1(e12,e10) != e10
              | op1(e10,e12) != e10 )
            & ( op1(e12,e10) != e11
              | op1(e10,e12) != e11 )
            & ( op1(e12,e10) != e12
              | op1(e10,e12) != e12 )
            & ( op1(e12,e10) != e13
              | op1(e10,e12) != e13 ) ) ) )
      | ( op1(e12,e12) = e11
        & ( op1(e12,e12) != e11
          | ( ( op1(e12,e11) != e10
              | op1(e11,e12) != e10 )
            & ( op1(e12,e11) != e11
              | op1(e11,e12) != e11 )
            & ( op1(e12,e11) != e12
              | op1(e11,e12) != e12 )
            & ( op1(e12,e11) != e13
              | op1(e11,e12) != e13 ) ) ) ) ) ),
    introduced(predicate_definition,[f589]) ).

fof(f591,plain,
    ( ~ pd0_38
    | pd0_44
    | ( op1(e12,e12) = e12
      & ( op1(e12,e12) != e12
        | ( ( op1(e12,e12) != e10
            | op1(e12,e12) != e10 )
          & ( op1(e12,e12) != e11
            | op1(e12,e12) != e11 )
          & ( op1(e12,e12) != e12
            | op1(e12,e12) != e12 )
          & ( op1(e12,e12) != e13
            | op1(e12,e12) != e13 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f589,f590]) ).

fof(f592,plain,
    ( ~ pd0_38
    | pd0_44
    | op1(e12,e12) = e12 ),
    inference(cnf_transformation,[status(esa)],[f591]) ).

fof(f595,plain,
    ( ~ pd0_38
    | pd0_44
    | op1(e12,e12) != e12
    | op1(e12,e12) != e12
    | op1(e12,e12) != e12 ),
    inference(cnf_transformation,[status(esa)],[f591]) ).

fof(f597,plain,
    ( ~ pd0_39
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e23) = e20
      & op2(e23,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e21,e20) = e21
      & op2(e20,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e21) = e21
      & op2(e21,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e22) = e21
      & op2(e22,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e23) = e21
      & op2(e23,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e22,e20) = e22
      & op2(e20,e22) = e22
      & op2(e20,e22) != e20
      & op2(e21,e22) != e21
      & op2(e22,e22) != e22
      & op2(e23,e22) != e23 )
    | ( op2(e22,e21) = e22
      & op2(e21,e22) = e22
      & op2(e20,e22) != e20
      & op2(e21,e22) != e21
      & op2(e22,e22) != e22
      & op2(e23,e22) != e23 )
    | ( op2(e22,e22) = e22
      & op2(e22,e22) = e22
      & op2(e20,e22) != e20
      & op2(e21,e22) != e21
      & op2(e22,e22) != e22
      & op2(e23,e22) != e23 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f552]) ).

fof(f598,plain,
    ( pd0_45
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e23) = e21
        & op2(e23,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e22,e20) = e22
        & op2(e20,e22) = e22
        & op2(e20,e22) != e20
        & op2(e21,e22) != e21
        & op2(e22,e22) != e22
        & op2(e23,e22) != e23 )
      | ( op2(e22,e21) = e22
        & op2(e21,e22) = e22
        & op2(e20,e22) != e20
        & op2(e21,e22) != e21
        & op2(e22,e22) != e22
        & op2(e23,e22) != e23 ) ) ),
    introduced(predicate_definition,[f597]) ).

fof(f599,plain,
    ( ~ pd0_39
    | pd0_45
    | ( op2(e22,e22) = e22
      & op2(e22,e22) = e22
      & op2(e20,e22) != e20
      & op2(e21,e22) != e21
      & op2(e22,e22) != e22
      & op2(e23,e22) != e23 ) ),
    inference(formula_renaming,[status(thm)],[f597,f598]) ).

fof(f600,plain,
    ( ~ pd0_39
    | pd0_45
    | op2(e22,e22) = e22 ),
    inference(cnf_transformation,[status(esa)],[f599]) ).

fof(f602,plain,
    ( ~ pd0_39
    | pd0_45
    | op2(e20,e22) != e20 ),
    inference(cnf_transformation,[status(esa)],[f599]) ).

fof(f603,plain,
    ( ~ pd0_39
    | pd0_45
    | op2(e21,e22) != e21 ),
    inference(cnf_transformation,[status(esa)],[f599]) ).

fof(f604,plain,
    ( ~ pd0_39
    | pd0_45
    | op2(e22,e22) != e22 ),
    inference(cnf_transformation,[status(esa)],[f599]) ).

fof(f605,plain,
    ( ~ pd0_39
    | pd0_45
    | op2(e23,e22) != e23 ),
    inference(cnf_transformation,[status(esa)],[f599]) ).

fof(f606,plain,
    ( ~ pd0_40
    | ( op2(e20,e20) = op2(e20,e20)
      & op2(e20,e20) != op2(e20,e20)
      & op2(e20,op2(e20,e20)) = e20 )
    | ( op2(e21,e20) = op2(e20,e21)
      & op2(e21,e21) != op2(e20,e21)
      & op2(e21,op2(e20,e21)) = e21 )
    | ( op2(e22,e20) = op2(e20,e22)
      & op2(e22,e22) != op2(e20,e22)
      & op2(e22,op2(e20,e22)) = e22 )
    | ( op2(e23,e20) = op2(e20,e23)
      & op2(e23,e23) != op2(e20,e23)
      & op2(e23,op2(e20,e23)) = e23 )
    | ( op2(e20,e21) = op2(e21,e20)
      & op2(e20,e20) != op2(e21,e20)
      & op2(e20,op2(e21,e20)) = e20 )
    | ( op2(e21,e21) = op2(e21,e21)
      & op2(e21,e21) != op2(e21,e21)
      & op2(e21,op2(e21,e21)) = e21 )
    | ( op2(e22,e21) = op2(e21,e22)
      & op2(e22,e22) != op2(e21,e22)
      & op2(e22,op2(e21,e22)) = e22 )
    | ( op2(e23,e21) = op2(e21,e23)
      & op2(e23,e23) != op2(e21,e23)
      & op2(e23,op2(e21,e23)) = e23 )
    | ( op2(e20,e22) = op2(e22,e20)
      & op2(e20,e20) != op2(e22,e20)
      & op2(e20,op2(e22,e20)) = e20 )
    | ( op2(e21,e22) = op2(e22,e21)
      & op2(e21,e21) != op2(e22,e21)
      & op2(e21,op2(e22,e21)) = e21 )
    | ( op2(e22,e22) = op2(e22,e22)
      & op2(e22,e22) != op2(e22,e22)
      & op2(e22,op2(e22,e22)) = e22 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f561]) ).

fof(f607,plain,
    ( pd0_46
   => ( ( op2(e20,e20) = op2(e20,e20)
        & op2(e20,e20) != op2(e20,e20)
        & op2(e20,op2(e20,e20)) = e20 )
      | ( op2(e21,e20) = op2(e20,e21)
        & op2(e21,e21) != op2(e20,e21)
        & op2(e21,op2(e20,e21)) = e21 )
      | ( op2(e22,e20) = op2(e20,e22)
        & op2(e22,e22) != op2(e20,e22)
        & op2(e22,op2(e20,e22)) = e22 )
      | ( op2(e23,e20) = op2(e20,e23)
        & op2(e23,e23) != op2(e20,e23)
        & op2(e23,op2(e20,e23)) = e23 )
      | ( op2(e20,e21) = op2(e21,e20)
        & op2(e20,e20) != op2(e21,e20)
        & op2(e20,op2(e21,e20)) = e20 )
      | ( op2(e21,e21) = op2(e21,e21)
        & op2(e21,e21) != op2(e21,e21)
        & op2(e21,op2(e21,e21)) = e21 )
      | ( op2(e22,e21) = op2(e21,e22)
        & op2(e22,e22) != op2(e21,e22)
        & op2(e22,op2(e21,e22)) = e22 )
      | ( op2(e23,e21) = op2(e21,e23)
        & op2(e23,e23) != op2(e21,e23)
        & op2(e23,op2(e21,e23)) = e23 )
      | ( op2(e20,e22) = op2(e22,e20)
        & op2(e20,e20) != op2(e22,e20)
        & op2(e20,op2(e22,e20)) = e20 )
      | ( op2(e21,e22) = op2(e22,e21)
        & op2(e21,e21) != op2(e22,e21)
        & op2(e21,op2(e22,e21)) = e21 ) ) ),
    introduced(predicate_definition,[f606]) ).

fof(f608,plain,
    ( ~ pd0_40
    | pd0_46
    | ( op2(e22,e22) = op2(e22,e22)
      & op2(e22,e22) != op2(e22,e22)
      & op2(e22,op2(e22,e22)) = e22 ) ),
    inference(formula_renaming,[status(thm)],[f606,f607]) ).

fof(f609,plain,
    ( ~ pd0_40
    | pd0_46
    | op2(e22,e22) = op2(e22,e22) ),
    inference(cnf_transformation,[status(esa)],[f608]) ).

fof(f610,plain,
    ( ~ pd0_40
    | pd0_46
    | op2(e22,e22) != op2(e22,e22) ),
    inference(cnf_transformation,[status(esa)],[f608]) ).

fof(f611,plain,
    ( ~ pd0_40
    | pd0_46
    | op2(e22,op2(e22,e22)) = e22 ),
    inference(cnf_transformation,[status(esa)],[f608]) ).

fof(f612,plain,
    ( ~ pd0_41
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | ( ( op2(e20,e20) != e20
            | op2(e20,e20) != e20 )
          & ( op2(e20,e20) != e21
            | op2(e20,e20) != e21 )
          & ( op2(e20,e20) != e22
            | op2(e20,e20) != e22 )
          & ( op2(e20,e20) != e23
            | op2(e20,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | ( ( op2(e20,e21) != e20
            | op2(e21,e20) != e20 )
          & ( op2(e20,e21) != e21
            | op2(e21,e20) != e21 )
          & ( op2(e20,e21) != e22
            | op2(e21,e20) != e22 )
          & ( op2(e20,e21) != e23
            | op2(e21,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | ( ( op2(e20,e22) != e20
            | op2(e22,e20) != e20 )
          & ( op2(e20,e22) != e21
            | op2(e22,e20) != e21 )
          & ( op2(e20,e22) != e22
            | op2(e22,e20) != e22 )
          & ( op2(e20,e22) != e23
            | op2(e22,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e23
      & ( op2(e20,e20) != e23
        | ( ( op2(e20,e23) != e20
            | op2(e23,e20) != e20 )
          & ( op2(e20,e23) != e21
            | op2(e23,e20) != e21 )
          & ( op2(e20,e23) != e22
            | op2(e23,e20) != e22 )
          & ( op2(e20,e23) != e23
            | op2(e23,e20) != e23 ) ) ) )
    | ( op2(e21,e21) = e20
      & ( op2(e21,e21) != e20
        | ( ( op2(e21,e20) != e20
            | op2(e20,e21) != e20 )
          & ( op2(e21,e20) != e21
            | op2(e20,e21) != e21 )
          & ( op2(e21,e20) != e22
            | op2(e20,e21) != e22 )
          & ( op2(e21,e20) != e23
            | op2(e20,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e21
      & ( op2(e21,e21) != e21
        | ( ( op2(e21,e21) != e20
            | op2(e21,e21) != e20 )
          & ( op2(e21,e21) != e21
            | op2(e21,e21) != e21 )
          & ( op2(e21,e21) != e22
            | op2(e21,e21) != e22 )
          & ( op2(e21,e21) != e23
            | op2(e21,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e22
      & ( op2(e21,e21) != e22
        | ( ( op2(e21,e22) != e20
            | op2(e22,e21) != e20 )
          & ( op2(e21,e22) != e21
            | op2(e22,e21) != e21 )
          & ( op2(e21,e22) != e22
            | op2(e22,e21) != e22 )
          & ( op2(e21,e22) != e23
            | op2(e22,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e23
      & ( op2(e21,e21) != e23
        | ( ( op2(e21,e23) != e20
            | op2(e23,e21) != e20 )
          & ( op2(e21,e23) != e21
            | op2(e23,e21) != e21 )
          & ( op2(e21,e23) != e22
            | op2(e23,e21) != e22 )
          & ( op2(e21,e23) != e23
            | op2(e23,e21) != e23 ) ) ) )
    | ( op2(e22,e22) = e20
      & ( op2(e22,e22) != e20
        | ( ( op2(e22,e20) != e20
            | op2(e20,e22) != e20 )
          & ( op2(e22,e20) != e21
            | op2(e20,e22) != e21 )
          & ( op2(e22,e20) != e22
            | op2(e20,e22) != e22 )
          & ( op2(e22,e20) != e23
            | op2(e20,e22) != e23 ) ) ) )
    | ( op2(e22,e22) = e21
      & ( op2(e22,e22) != e21
        | ( ( op2(e22,e21) != e20
            | op2(e21,e22) != e20 )
          & ( op2(e22,e21) != e21
            | op2(e21,e22) != e21 )
          & ( op2(e22,e21) != e22
            | op2(e21,e22) != e22 )
          & ( op2(e22,e21) != e23
            | op2(e21,e22) != e23 ) ) ) )
    | ( op2(e22,e22) = e22
      & ( op2(e22,e22) != e22
        | ( ( op2(e22,e22) != e20
            | op2(e22,e22) != e20 )
          & ( op2(e22,e22) != e21
            | op2(e22,e22) != e21 )
          & ( op2(e22,e22) != e22
            | op2(e22,e22) != e22 )
          & ( op2(e22,e22) != e23
            | op2(e22,e22) != e23 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f567]) ).

fof(f613,plain,
    ( pd0_47
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | ( ( op2(e20,e20) != e20
              | op2(e20,e20) != e20 )
            & ( op2(e20,e20) != e21
              | op2(e20,e20) != e21 )
            & ( op2(e20,e20) != e22
              | op2(e20,e20) != e22 )
            & ( op2(e20,e20) != e23
              | op2(e20,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | ( ( op2(e20,e21) != e20
              | op2(e21,e20) != e20 )
            & ( op2(e20,e21) != e21
              | op2(e21,e20) != e21 )
            & ( op2(e20,e21) != e22
              | op2(e21,e20) != e22 )
            & ( op2(e20,e21) != e23
              | op2(e21,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | ( ( op2(e20,e22) != e20
              | op2(e22,e20) != e20 )
            & ( op2(e20,e22) != e21
              | op2(e22,e20) != e21 )
            & ( op2(e20,e22) != e22
              | op2(e22,e20) != e22 )
            & ( op2(e20,e22) != e23
              | op2(e22,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e23
        & ( op2(e20,e20) != e23
          | ( ( op2(e20,e23) != e20
              | op2(e23,e20) != e20 )
            & ( op2(e20,e23) != e21
              | op2(e23,e20) != e21 )
            & ( op2(e20,e23) != e22
              | op2(e23,e20) != e22 )
            & ( op2(e20,e23) != e23
              | op2(e23,e20) != e23 ) ) ) )
      | ( op2(e21,e21) = e20
        & ( op2(e21,e21) != e20
          | ( ( op2(e21,e20) != e20
              | op2(e20,e21) != e20 )
            & ( op2(e21,e20) != e21
              | op2(e20,e21) != e21 )
            & ( op2(e21,e20) != e22
              | op2(e20,e21) != e22 )
            & ( op2(e21,e20) != e23
              | op2(e20,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e21
        & ( op2(e21,e21) != e21
          | ( ( op2(e21,e21) != e20
              | op2(e21,e21) != e20 )
            & ( op2(e21,e21) != e21
              | op2(e21,e21) != e21 )
            & ( op2(e21,e21) != e22
              | op2(e21,e21) != e22 )
            & ( op2(e21,e21) != e23
              | op2(e21,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e22
        & ( op2(e21,e21) != e22
          | ( ( op2(e21,e22) != e20
              | op2(e22,e21) != e20 )
            & ( op2(e21,e22) != e21
              | op2(e22,e21) != e21 )
            & ( op2(e21,e22) != e22
              | op2(e22,e21) != e22 )
            & ( op2(e21,e22) != e23
              | op2(e22,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e23
        & ( op2(e21,e21) != e23
          | ( ( op2(e21,e23) != e20
              | op2(e23,e21) != e20 )
            & ( op2(e21,e23) != e21
              | op2(e23,e21) != e21 )
            & ( op2(e21,e23) != e22
              | op2(e23,e21) != e22 )
            & ( op2(e21,e23) != e23
              | op2(e23,e21) != e23 ) ) ) )
      | ( op2(e22,e22) = e20
        & ( op2(e22,e22) != e20
          | ( ( op2(e22,e20) != e20
              | op2(e20,e22) != e20 )
            & ( op2(e22,e20) != e21
              | op2(e20,e22) != e21 )
            & ( op2(e22,e20) != e22
              | op2(e20,e22) != e22 )
            & ( op2(e22,e20) != e23
              | op2(e20,e22) != e23 ) ) ) )
      | ( op2(e22,e22) = e21
        & ( op2(e22,e22) != e21
          | ( ( op2(e22,e21) != e20
              | op2(e21,e22) != e20 )
            & ( op2(e22,e21) != e21
              | op2(e21,e22) != e21 )
            & ( op2(e22,e21) != e22
              | op2(e21,e22) != e22 )
            & ( op2(e22,e21) != e23
              | op2(e21,e22) != e23 ) ) ) ) ) ),
    introduced(predicate_definition,[f612]) ).

fof(f614,plain,
    ( ~ pd0_41
    | pd0_47
    | ( op2(e22,e22) = e22
      & ( op2(e22,e22) != e22
        | ( ( op2(e22,e22) != e20
            | op2(e22,e22) != e20 )
          & ( op2(e22,e22) != e21
            | op2(e22,e22) != e21 )
          & ( op2(e22,e22) != e22
            | op2(e22,e22) != e22 )
          & ( op2(e22,e22) != e23
            | op2(e22,e22) != e23 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f612,f613]) ).

fof(f615,plain,
    ( ~ pd0_41
    | pd0_47
    | op2(e22,e22) = e22 ),
    inference(cnf_transformation,[status(esa)],[f614]) ).

fof(f618,plain,
    ( ~ pd0_41
    | pd0_47
    | op2(e22,e22) != e22
    | op2(e22,e22) != e22
    | op2(e22,e22) != e22 ),
    inference(cnf_transformation,[status(esa)],[f614]) ).

fof(f620,plain,
    ( ~ pd0_42
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e13) = e10
      & op1(e13,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e11,e10) = e11
      & op1(e10,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e11) = e11
      & op1(e11,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e12) = e11
      & op1(e12,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e13) = e11
      & op1(e13,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e12,e10) = e12
      & op1(e10,e12) = e12
      & op1(e10,e12) != e10
      & op1(e11,e12) != e11
      & op1(e12,e12) != e12
      & op1(e13,e12) != e13 )
    | ( op1(e12,e11) = e12
      & op1(e11,e12) = e12
      & op1(e10,e12) != e10
      & op1(e11,e12) != e11
      & op1(e12,e12) != e12
      & op1(e13,e12) != e13 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f575]) ).

fof(f621,plain,
    ( pd0_48
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e12,e10) = e12
        & op1(e10,e12) = e12
        & op1(e10,e12) != e10
        & op1(e11,e12) != e11
        & op1(e12,e12) != e12
        & op1(e13,e12) != e13 ) ) ),
    introduced(predicate_definition,[f620]) ).

fof(f622,plain,
    ( ~ pd0_42
    | pd0_48
    | ( op1(e12,e11) = e12
      & op1(e11,e12) = e12
      & op1(e10,e12) != e10
      & op1(e11,e12) != e11
      & op1(e12,e12) != e12
      & op1(e13,e12) != e13 ) ),
    inference(formula_renaming,[status(thm)],[f620,f621]) ).

fof(f623,plain,
    ( ~ pd0_42
    | pd0_48
    | op1(e12,e11) = e12 ),
    inference(cnf_transformation,[status(esa)],[f622]) ).

fof(f624,plain,
    ( ~ pd0_42
    | pd0_48
    | op1(e11,e12) = e12 ),
    inference(cnf_transformation,[status(esa)],[f622]) ).

fof(f625,plain,
    ( ~ pd0_42
    | pd0_48
    | op1(e10,e12) != e10 ),
    inference(cnf_transformation,[status(esa)],[f622]) ).

fof(f629,plain,
    ( ~ pd0_43
    | ( op1(e10,e10) = op1(e10,e10)
      & op1(e10,e10) != op1(e10,e10)
      & op1(e10,op1(e10,e10)) = e10 )
    | ( op1(e11,e10) = op1(e10,e11)
      & op1(e11,e11) != op1(e10,e11)
      & op1(e11,op1(e10,e11)) = e11 )
    | ( op1(e12,e10) = op1(e10,e12)
      & op1(e12,e12) != op1(e10,e12)
      & op1(e12,op1(e10,e12)) = e12 )
    | ( op1(e13,e10) = op1(e10,e13)
      & op1(e13,e13) != op1(e10,e13)
      & op1(e13,op1(e10,e13)) = e13 )
    | ( op1(e10,e11) = op1(e11,e10)
      & op1(e10,e10) != op1(e11,e10)
      & op1(e10,op1(e11,e10)) = e10 )
    | ( op1(e11,e11) = op1(e11,e11)
      & op1(e11,e11) != op1(e11,e11)
      & op1(e11,op1(e11,e11)) = e11 )
    | ( op1(e12,e11) = op1(e11,e12)
      & op1(e12,e12) != op1(e11,e12)
      & op1(e12,op1(e11,e12)) = e12 )
    | ( op1(e13,e11) = op1(e11,e13)
      & op1(e13,e13) != op1(e11,e13)
      & op1(e13,op1(e11,e13)) = e13 )
    | ( op1(e10,e12) = op1(e12,e10)
      & op1(e10,e10) != op1(e12,e10)
      & op1(e10,op1(e12,e10)) = e10 )
    | ( op1(e11,e12) = op1(e12,e11)
      & op1(e11,e11) != op1(e12,e11)
      & op1(e11,op1(e12,e11)) = e11 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f584]) ).

fof(f630,plain,
    ( pd0_49
   => ( ( op1(e10,e10) = op1(e10,e10)
        & op1(e10,e10) != op1(e10,e10)
        & op1(e10,op1(e10,e10)) = e10 )
      | ( op1(e11,e10) = op1(e10,e11)
        & op1(e11,e11) != op1(e10,e11)
        & op1(e11,op1(e10,e11)) = e11 )
      | ( op1(e12,e10) = op1(e10,e12)
        & op1(e12,e12) != op1(e10,e12)
        & op1(e12,op1(e10,e12)) = e12 )
      | ( op1(e13,e10) = op1(e10,e13)
        & op1(e13,e13) != op1(e10,e13)
        & op1(e13,op1(e10,e13)) = e13 )
      | ( op1(e10,e11) = op1(e11,e10)
        & op1(e10,e10) != op1(e11,e10)
        & op1(e10,op1(e11,e10)) = e10 )
      | ( op1(e11,e11) = op1(e11,e11)
        & op1(e11,e11) != op1(e11,e11)
        & op1(e11,op1(e11,e11)) = e11 )
      | ( op1(e12,e11) = op1(e11,e12)
        & op1(e12,e12) != op1(e11,e12)
        & op1(e12,op1(e11,e12)) = e12 )
      | ( op1(e13,e11) = op1(e11,e13)
        & op1(e13,e13) != op1(e11,e13)
        & op1(e13,op1(e11,e13)) = e13 )
      | ( op1(e10,e12) = op1(e12,e10)
        & op1(e10,e10) != op1(e12,e10)
        & op1(e10,op1(e12,e10)) = e10 ) ) ),
    introduced(predicate_definition,[f629]) ).

fof(f631,plain,
    ( ~ pd0_43
    | pd0_49
    | ( op1(e11,e12) = op1(e12,e11)
      & op1(e11,e11) != op1(e12,e11)
      & op1(e11,op1(e12,e11)) = e11 ) ),
    inference(formula_renaming,[status(thm)],[f629,f630]) ).

fof(f632,plain,
    ( ~ pd0_43
    | pd0_49
    | op1(e11,e12) = op1(e12,e11) ),
    inference(cnf_transformation,[status(esa)],[f631]) ).

fof(f634,plain,
    ( ~ pd0_43
    | pd0_49
    | op1(e11,op1(e12,e11)) = e11 ),
    inference(cnf_transformation,[status(esa)],[f631]) ).

fof(f635,plain,
    ( ~ pd0_44
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | ( ( op1(e10,e10) != e10
            | op1(e10,e10) != e10 )
          & ( op1(e10,e10) != e11
            | op1(e10,e10) != e11 )
          & ( op1(e10,e10) != e12
            | op1(e10,e10) != e12 )
          & ( op1(e10,e10) != e13
            | op1(e10,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | ( ( op1(e10,e11) != e10
            | op1(e11,e10) != e10 )
          & ( op1(e10,e11) != e11
            | op1(e11,e10) != e11 )
          & ( op1(e10,e11) != e12
            | op1(e11,e10) != e12 )
          & ( op1(e10,e11) != e13
            | op1(e11,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | ( ( op1(e10,e12) != e10
            | op1(e12,e10) != e10 )
          & ( op1(e10,e12) != e11
            | op1(e12,e10) != e11 )
          & ( op1(e10,e12) != e12
            | op1(e12,e10) != e12 )
          & ( op1(e10,e12) != e13
            | op1(e12,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e13
      & ( op1(e10,e10) != e13
        | ( ( op1(e10,e13) != e10
            | op1(e13,e10) != e10 )
          & ( op1(e10,e13) != e11
            | op1(e13,e10) != e11 )
          & ( op1(e10,e13) != e12
            | op1(e13,e10) != e12 )
          & ( op1(e10,e13) != e13
            | op1(e13,e10) != e13 ) ) ) )
    | ( op1(e11,e11) = e10
      & ( op1(e11,e11) != e10
        | ( ( op1(e11,e10) != e10
            | op1(e10,e11) != e10 )
          & ( op1(e11,e10) != e11
            | op1(e10,e11) != e11 )
          & ( op1(e11,e10) != e12
            | op1(e10,e11) != e12 )
          & ( op1(e11,e10) != e13
            | op1(e10,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e11
      & ( op1(e11,e11) != e11
        | ( ( op1(e11,e11) != e10
            | op1(e11,e11) != e10 )
          & ( op1(e11,e11) != e11
            | op1(e11,e11) != e11 )
          & ( op1(e11,e11) != e12
            | op1(e11,e11) != e12 )
          & ( op1(e11,e11) != e13
            | op1(e11,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e12
      & ( op1(e11,e11) != e12
        | ( ( op1(e11,e12) != e10
            | op1(e12,e11) != e10 )
          & ( op1(e11,e12) != e11
            | op1(e12,e11) != e11 )
          & ( op1(e11,e12) != e12
            | op1(e12,e11) != e12 )
          & ( op1(e11,e12) != e13
            | op1(e12,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e13
      & ( op1(e11,e11) != e13
        | ( ( op1(e11,e13) != e10
            | op1(e13,e11) != e10 )
          & ( op1(e11,e13) != e11
            | op1(e13,e11) != e11 )
          & ( op1(e11,e13) != e12
            | op1(e13,e11) != e12 )
          & ( op1(e11,e13) != e13
            | op1(e13,e11) != e13 ) ) ) )
    | ( op1(e12,e12) = e10
      & ( op1(e12,e12) != e10
        | ( ( op1(e12,e10) != e10
            | op1(e10,e12) != e10 )
          & ( op1(e12,e10) != e11
            | op1(e10,e12) != e11 )
          & ( op1(e12,e10) != e12
            | op1(e10,e12) != e12 )
          & ( op1(e12,e10) != e13
            | op1(e10,e12) != e13 ) ) ) )
    | ( op1(e12,e12) = e11
      & ( op1(e12,e12) != e11
        | ( ( op1(e12,e11) != e10
            | op1(e11,e12) != e10 )
          & ( op1(e12,e11) != e11
            | op1(e11,e12) != e11 )
          & ( op1(e12,e11) != e12
            | op1(e11,e12) != e12 )
          & ( op1(e12,e11) != e13
            | op1(e11,e12) != e13 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f590]) ).

fof(f636,plain,
    ( pd0_50
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | ( ( op1(e10,e10) != e10
              | op1(e10,e10) != e10 )
            & ( op1(e10,e10) != e11
              | op1(e10,e10) != e11 )
            & ( op1(e10,e10) != e12
              | op1(e10,e10) != e12 )
            & ( op1(e10,e10) != e13
              | op1(e10,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | ( ( op1(e10,e11) != e10
              | op1(e11,e10) != e10 )
            & ( op1(e10,e11) != e11
              | op1(e11,e10) != e11 )
            & ( op1(e10,e11) != e12
              | op1(e11,e10) != e12 )
            & ( op1(e10,e11) != e13
              | op1(e11,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | ( ( op1(e10,e12) != e10
              | op1(e12,e10) != e10 )
            & ( op1(e10,e12) != e11
              | op1(e12,e10) != e11 )
            & ( op1(e10,e12) != e12
              | op1(e12,e10) != e12 )
            & ( op1(e10,e12) != e13
              | op1(e12,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e13
        & ( op1(e10,e10) != e13
          | ( ( op1(e10,e13) != e10
              | op1(e13,e10) != e10 )
            & ( op1(e10,e13) != e11
              | op1(e13,e10) != e11 )
            & ( op1(e10,e13) != e12
              | op1(e13,e10) != e12 )
            & ( op1(e10,e13) != e13
              | op1(e13,e10) != e13 ) ) ) )
      | ( op1(e11,e11) = e10
        & ( op1(e11,e11) != e10
          | ( ( op1(e11,e10) != e10
              | op1(e10,e11) != e10 )
            & ( op1(e11,e10) != e11
              | op1(e10,e11) != e11 )
            & ( op1(e11,e10) != e12
              | op1(e10,e11) != e12 )
            & ( op1(e11,e10) != e13
              | op1(e10,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e11
        & ( op1(e11,e11) != e11
          | ( ( op1(e11,e11) != e10
              | op1(e11,e11) != e10 )
            & ( op1(e11,e11) != e11
              | op1(e11,e11) != e11 )
            & ( op1(e11,e11) != e12
              | op1(e11,e11) != e12 )
            & ( op1(e11,e11) != e13
              | op1(e11,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e12
        & ( op1(e11,e11) != e12
          | ( ( op1(e11,e12) != e10
              | op1(e12,e11) != e10 )
            & ( op1(e11,e12) != e11
              | op1(e12,e11) != e11 )
            & ( op1(e11,e12) != e12
              | op1(e12,e11) != e12 )
            & ( op1(e11,e12) != e13
              | op1(e12,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e13
        & ( op1(e11,e11) != e13
          | ( ( op1(e11,e13) != e10
              | op1(e13,e11) != e10 )
            & ( op1(e11,e13) != e11
              | op1(e13,e11) != e11 )
            & ( op1(e11,e13) != e12
              | op1(e13,e11) != e12 )
            & ( op1(e11,e13) != e13
              | op1(e13,e11) != e13 ) ) ) )
      | ( op1(e12,e12) = e10
        & ( op1(e12,e12) != e10
          | ( ( op1(e12,e10) != e10
              | op1(e10,e12) != e10 )
            & ( op1(e12,e10) != e11
              | op1(e10,e12) != e11 )
            & ( op1(e12,e10) != e12
              | op1(e10,e12) != e12 )
            & ( op1(e12,e10) != e13
              | op1(e10,e12) != e13 ) ) ) ) ) ),
    introduced(predicate_definition,[f635]) ).

fof(f637,plain,
    ( ~ pd0_44
    | pd0_50
    | ( op1(e12,e12) = e11
      & ( op1(e12,e12) != e11
        | ( ( op1(e12,e11) != e10
            | op1(e11,e12) != e10 )
          & ( op1(e12,e11) != e11
            | op1(e11,e12) != e11 )
          & ( op1(e12,e11) != e12
            | op1(e11,e12) != e12 )
          & ( op1(e12,e11) != e13
            | op1(e11,e12) != e13 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f635,f636]) ).

fof(f638,plain,
    ( ~ pd0_44
    | pd0_50
    | op1(e12,e12) = e11 ),
    inference(cnf_transformation,[status(esa)],[f637]) ).

fof(f641,plain,
    ( ~ pd0_44
    | pd0_50
    | op1(e12,e12) != e11
    | op1(e12,e11) != e12
    | op1(e11,e12) != e12 ),
    inference(cnf_transformation,[status(esa)],[f637]) ).

fof(f642,plain,
    ( ~ pd0_44
    | pd0_50
    | op1(e12,e12) != e11
    | op1(e12,e11) != e13
    | op1(e11,e12) != e13 ),
    inference(cnf_transformation,[status(esa)],[f637]) ).

fof(f643,plain,
    ( ~ pd0_45
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e23) = e20
      & op2(e23,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e21,e20) = e21
      & op2(e20,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e21) = e21
      & op2(e21,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e22) = e21
      & op2(e22,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e23) = e21
      & op2(e23,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e22,e20) = e22
      & op2(e20,e22) = e22
      & op2(e20,e22) != e20
      & op2(e21,e22) != e21
      & op2(e22,e22) != e22
      & op2(e23,e22) != e23 )
    | ( op2(e22,e21) = e22
      & op2(e21,e22) = e22
      & op2(e20,e22) != e20
      & op2(e21,e22) != e21
      & op2(e22,e22) != e22
      & op2(e23,e22) != e23 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f598]) ).

fof(f644,plain,
    ( pd0_51
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e23) = e21
        & op2(e23,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e22,e20) = e22
        & op2(e20,e22) = e22
        & op2(e20,e22) != e20
        & op2(e21,e22) != e21
        & op2(e22,e22) != e22
        & op2(e23,e22) != e23 ) ) ),
    introduced(predicate_definition,[f643]) ).

fof(f645,plain,
    ( ~ pd0_45
    | pd0_51
    | ( op2(e22,e21) = e22
      & op2(e21,e22) = e22
      & op2(e20,e22) != e20
      & op2(e21,e22) != e21
      & op2(e22,e22) != e22
      & op2(e23,e22) != e23 ) ),
    inference(formula_renaming,[status(thm)],[f643,f644]) ).

fof(f646,plain,
    ( ~ pd0_45
    | pd0_51
    | op2(e22,e21) = e22 ),
    inference(cnf_transformation,[status(esa)],[f645]) ).

fof(f647,plain,
    ( ~ pd0_45
    | pd0_51
    | op2(e21,e22) = e22 ),
    inference(cnf_transformation,[status(esa)],[f645]) ).

fof(f648,plain,
    ( ~ pd0_45
    | pd0_51
    | op2(e20,e22) != e20 ),
    inference(cnf_transformation,[status(esa)],[f645]) ).

fof(f649,plain,
    ( ~ pd0_45
    | pd0_51
    | op2(e21,e22) != e21 ),
    inference(cnf_transformation,[status(esa)],[f645]) ).

fof(f650,plain,
    ( ~ pd0_45
    | pd0_51
    | op2(e22,e22) != e22 ),
    inference(cnf_transformation,[status(esa)],[f645]) ).

fof(f651,plain,
    ( ~ pd0_45
    | pd0_51
    | op2(e23,e22) != e23 ),
    inference(cnf_transformation,[status(esa)],[f645]) ).

fof(f652,plain,
    ( ~ pd0_46
    | ( op2(e20,e20) = op2(e20,e20)
      & op2(e20,e20) != op2(e20,e20)
      & op2(e20,op2(e20,e20)) = e20 )
    | ( op2(e21,e20) = op2(e20,e21)
      & op2(e21,e21) != op2(e20,e21)
      & op2(e21,op2(e20,e21)) = e21 )
    | ( op2(e22,e20) = op2(e20,e22)
      & op2(e22,e22) != op2(e20,e22)
      & op2(e22,op2(e20,e22)) = e22 )
    | ( op2(e23,e20) = op2(e20,e23)
      & op2(e23,e23) != op2(e20,e23)
      & op2(e23,op2(e20,e23)) = e23 )
    | ( op2(e20,e21) = op2(e21,e20)
      & op2(e20,e20) != op2(e21,e20)
      & op2(e20,op2(e21,e20)) = e20 )
    | ( op2(e21,e21) = op2(e21,e21)
      & op2(e21,e21) != op2(e21,e21)
      & op2(e21,op2(e21,e21)) = e21 )
    | ( op2(e22,e21) = op2(e21,e22)
      & op2(e22,e22) != op2(e21,e22)
      & op2(e22,op2(e21,e22)) = e22 )
    | ( op2(e23,e21) = op2(e21,e23)
      & op2(e23,e23) != op2(e21,e23)
      & op2(e23,op2(e21,e23)) = e23 )
    | ( op2(e20,e22) = op2(e22,e20)
      & op2(e20,e20) != op2(e22,e20)
      & op2(e20,op2(e22,e20)) = e20 )
    | ( op2(e21,e22) = op2(e22,e21)
      & op2(e21,e21) != op2(e22,e21)
      & op2(e21,op2(e22,e21)) = e21 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f607]) ).

fof(f653,plain,
    ( pd0_52
   => ( ( op2(e20,e20) = op2(e20,e20)
        & op2(e20,e20) != op2(e20,e20)
        & op2(e20,op2(e20,e20)) = e20 )
      | ( op2(e21,e20) = op2(e20,e21)
        & op2(e21,e21) != op2(e20,e21)
        & op2(e21,op2(e20,e21)) = e21 )
      | ( op2(e22,e20) = op2(e20,e22)
        & op2(e22,e22) != op2(e20,e22)
        & op2(e22,op2(e20,e22)) = e22 )
      | ( op2(e23,e20) = op2(e20,e23)
        & op2(e23,e23) != op2(e20,e23)
        & op2(e23,op2(e20,e23)) = e23 )
      | ( op2(e20,e21) = op2(e21,e20)
        & op2(e20,e20) != op2(e21,e20)
        & op2(e20,op2(e21,e20)) = e20 )
      | ( op2(e21,e21) = op2(e21,e21)
        & op2(e21,e21) != op2(e21,e21)
        & op2(e21,op2(e21,e21)) = e21 )
      | ( op2(e22,e21) = op2(e21,e22)
        & op2(e22,e22) != op2(e21,e22)
        & op2(e22,op2(e21,e22)) = e22 )
      | ( op2(e23,e21) = op2(e21,e23)
        & op2(e23,e23) != op2(e21,e23)
        & op2(e23,op2(e21,e23)) = e23 )
      | ( op2(e20,e22) = op2(e22,e20)
        & op2(e20,e20) != op2(e22,e20)
        & op2(e20,op2(e22,e20)) = e20 ) ) ),
    introduced(predicate_definition,[f652]) ).

fof(f654,plain,
    ( ~ pd0_46
    | pd0_52
    | ( op2(e21,e22) = op2(e22,e21)
      & op2(e21,e21) != op2(e22,e21)
      & op2(e21,op2(e22,e21)) = e21 ) ),
    inference(formula_renaming,[status(thm)],[f652,f653]) ).

fof(f655,plain,
    ( ~ pd0_46
    | pd0_52
    | op2(e21,e22) = op2(e22,e21) ),
    inference(cnf_transformation,[status(esa)],[f654]) ).

fof(f656,plain,
    ( ~ pd0_46
    | pd0_52
    | op2(e21,e21) != op2(e22,e21) ),
    inference(cnf_transformation,[status(esa)],[f654]) ).

fof(f657,plain,
    ( ~ pd0_46
    | pd0_52
    | op2(e21,op2(e22,e21)) = e21 ),
    inference(cnf_transformation,[status(esa)],[f654]) ).

fof(f658,plain,
    ( ~ pd0_47
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | ( ( op2(e20,e20) != e20
            | op2(e20,e20) != e20 )
          & ( op2(e20,e20) != e21
            | op2(e20,e20) != e21 )
          & ( op2(e20,e20) != e22
            | op2(e20,e20) != e22 )
          & ( op2(e20,e20) != e23
            | op2(e20,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | ( ( op2(e20,e21) != e20
            | op2(e21,e20) != e20 )
          & ( op2(e20,e21) != e21
            | op2(e21,e20) != e21 )
          & ( op2(e20,e21) != e22
            | op2(e21,e20) != e22 )
          & ( op2(e20,e21) != e23
            | op2(e21,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | ( ( op2(e20,e22) != e20
            | op2(e22,e20) != e20 )
          & ( op2(e20,e22) != e21
            | op2(e22,e20) != e21 )
          & ( op2(e20,e22) != e22
            | op2(e22,e20) != e22 )
          & ( op2(e20,e22) != e23
            | op2(e22,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e23
      & ( op2(e20,e20) != e23
        | ( ( op2(e20,e23) != e20
            | op2(e23,e20) != e20 )
          & ( op2(e20,e23) != e21
            | op2(e23,e20) != e21 )
          & ( op2(e20,e23) != e22
            | op2(e23,e20) != e22 )
          & ( op2(e20,e23) != e23
            | op2(e23,e20) != e23 ) ) ) )
    | ( op2(e21,e21) = e20
      & ( op2(e21,e21) != e20
        | ( ( op2(e21,e20) != e20
            | op2(e20,e21) != e20 )
          & ( op2(e21,e20) != e21
            | op2(e20,e21) != e21 )
          & ( op2(e21,e20) != e22
            | op2(e20,e21) != e22 )
          & ( op2(e21,e20) != e23
            | op2(e20,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e21
      & ( op2(e21,e21) != e21
        | ( ( op2(e21,e21) != e20
            | op2(e21,e21) != e20 )
          & ( op2(e21,e21) != e21
            | op2(e21,e21) != e21 )
          & ( op2(e21,e21) != e22
            | op2(e21,e21) != e22 )
          & ( op2(e21,e21) != e23
            | op2(e21,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e22
      & ( op2(e21,e21) != e22
        | ( ( op2(e21,e22) != e20
            | op2(e22,e21) != e20 )
          & ( op2(e21,e22) != e21
            | op2(e22,e21) != e21 )
          & ( op2(e21,e22) != e22
            | op2(e22,e21) != e22 )
          & ( op2(e21,e22) != e23
            | op2(e22,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e23
      & ( op2(e21,e21) != e23
        | ( ( op2(e21,e23) != e20
            | op2(e23,e21) != e20 )
          & ( op2(e21,e23) != e21
            | op2(e23,e21) != e21 )
          & ( op2(e21,e23) != e22
            | op2(e23,e21) != e22 )
          & ( op2(e21,e23) != e23
            | op2(e23,e21) != e23 ) ) ) )
    | ( op2(e22,e22) = e20
      & ( op2(e22,e22) != e20
        | ( ( op2(e22,e20) != e20
            | op2(e20,e22) != e20 )
          & ( op2(e22,e20) != e21
            | op2(e20,e22) != e21 )
          & ( op2(e22,e20) != e22
            | op2(e20,e22) != e22 )
          & ( op2(e22,e20) != e23
            | op2(e20,e22) != e23 ) ) ) )
    | ( op2(e22,e22) = e21
      & ( op2(e22,e22) != e21
        | ( ( op2(e22,e21) != e20
            | op2(e21,e22) != e20 )
          & ( op2(e22,e21) != e21
            | op2(e21,e22) != e21 )
          & ( op2(e22,e21) != e22
            | op2(e21,e22) != e22 )
          & ( op2(e22,e21) != e23
            | op2(e21,e22) != e23 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f613]) ).

fof(f659,plain,
    ( pd0_53
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | ( ( op2(e20,e20) != e20
              | op2(e20,e20) != e20 )
            & ( op2(e20,e20) != e21
              | op2(e20,e20) != e21 )
            & ( op2(e20,e20) != e22
              | op2(e20,e20) != e22 )
            & ( op2(e20,e20) != e23
              | op2(e20,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | ( ( op2(e20,e21) != e20
              | op2(e21,e20) != e20 )
            & ( op2(e20,e21) != e21
              | op2(e21,e20) != e21 )
            & ( op2(e20,e21) != e22
              | op2(e21,e20) != e22 )
            & ( op2(e20,e21) != e23
              | op2(e21,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | ( ( op2(e20,e22) != e20
              | op2(e22,e20) != e20 )
            & ( op2(e20,e22) != e21
              | op2(e22,e20) != e21 )
            & ( op2(e20,e22) != e22
              | op2(e22,e20) != e22 )
            & ( op2(e20,e22) != e23
              | op2(e22,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e23
        & ( op2(e20,e20) != e23
          | ( ( op2(e20,e23) != e20
              | op2(e23,e20) != e20 )
            & ( op2(e20,e23) != e21
              | op2(e23,e20) != e21 )
            & ( op2(e20,e23) != e22
              | op2(e23,e20) != e22 )
            & ( op2(e20,e23) != e23
              | op2(e23,e20) != e23 ) ) ) )
      | ( op2(e21,e21) = e20
        & ( op2(e21,e21) != e20
          | ( ( op2(e21,e20) != e20
              | op2(e20,e21) != e20 )
            & ( op2(e21,e20) != e21
              | op2(e20,e21) != e21 )
            & ( op2(e21,e20) != e22
              | op2(e20,e21) != e22 )
            & ( op2(e21,e20) != e23
              | op2(e20,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e21
        & ( op2(e21,e21) != e21
          | ( ( op2(e21,e21) != e20
              | op2(e21,e21) != e20 )
            & ( op2(e21,e21) != e21
              | op2(e21,e21) != e21 )
            & ( op2(e21,e21) != e22
              | op2(e21,e21) != e22 )
            & ( op2(e21,e21) != e23
              | op2(e21,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e22
        & ( op2(e21,e21) != e22
          | ( ( op2(e21,e22) != e20
              | op2(e22,e21) != e20 )
            & ( op2(e21,e22) != e21
              | op2(e22,e21) != e21 )
            & ( op2(e21,e22) != e22
              | op2(e22,e21) != e22 )
            & ( op2(e21,e22) != e23
              | op2(e22,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e23
        & ( op2(e21,e21) != e23
          | ( ( op2(e21,e23) != e20
              | op2(e23,e21) != e20 )
            & ( op2(e21,e23) != e21
              | op2(e23,e21) != e21 )
            & ( op2(e21,e23) != e22
              | op2(e23,e21) != e22 )
            & ( op2(e21,e23) != e23
              | op2(e23,e21) != e23 ) ) ) )
      | ( op2(e22,e22) = e20
        & ( op2(e22,e22) != e20
          | ( ( op2(e22,e20) != e20
              | op2(e20,e22) != e20 )
            & ( op2(e22,e20) != e21
              | op2(e20,e22) != e21 )
            & ( op2(e22,e20) != e22
              | op2(e20,e22) != e22 )
            & ( op2(e22,e20) != e23
              | op2(e20,e22) != e23 ) ) ) ) ) ),
    introduced(predicate_definition,[f658]) ).

fof(f660,plain,
    ( ~ pd0_47
    | pd0_53
    | ( op2(e22,e22) = e21
      & ( op2(e22,e22) != e21
        | ( ( op2(e22,e21) != e20
            | op2(e21,e22) != e20 )
          & ( op2(e22,e21) != e21
            | op2(e21,e22) != e21 )
          & ( op2(e22,e21) != e22
            | op2(e21,e22) != e22 )
          & ( op2(e22,e21) != e23
            | op2(e21,e22) != e23 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f658,f659]) ).

fof(f661,plain,
    ( ~ pd0_47
    | pd0_53
    | op2(e22,e22) = e21 ),
    inference(cnf_transformation,[status(esa)],[f660]) ).

fof(f662,plain,
    ( ~ pd0_47
    | pd0_53
    | op2(e22,e22) != e21
    | op2(e22,e21) != e20
    | op2(e21,e22) != e20 ),
    inference(cnf_transformation,[status(esa)],[f660]) ).

fof(f664,plain,
    ( ~ pd0_47
    | pd0_53
    | op2(e22,e22) != e21
    | op2(e22,e21) != e22
    | op2(e21,e22) != e22 ),
    inference(cnf_transformation,[status(esa)],[f660]) ).

fof(f666,plain,
    ( ~ pd0_48
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e13) = e10
      & op1(e13,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e11,e10) = e11
      & op1(e10,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e11) = e11
      & op1(e11,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e12) = e11
      & op1(e12,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e13) = e11
      & op1(e13,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e12,e10) = e12
      & op1(e10,e12) = e12
      & op1(e10,e12) != e10
      & op1(e11,e12) != e11
      & op1(e12,e12) != e12
      & op1(e13,e12) != e13 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f621]) ).

fof(f667,plain,
    ( pd0_54
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 ) ) ),
    introduced(predicate_definition,[f666]) ).

fof(f668,plain,
    ( ~ pd0_48
    | pd0_54
    | ( op1(e12,e10) = e12
      & op1(e10,e12) = e12
      & op1(e10,e12) != e10
      & op1(e11,e12) != e11
      & op1(e12,e12) != e12
      & op1(e13,e12) != e13 ) ),
    inference(formula_renaming,[status(thm)],[f666,f667]) ).

fof(f669,plain,
    ( ~ pd0_48
    | pd0_54
    | op1(e12,e10) = e12 ),
    inference(cnf_transformation,[status(esa)],[f668]) ).

fof(f675,plain,
    ( ~ pd0_49
    | ( op1(e10,e10) = op1(e10,e10)
      & op1(e10,e10) != op1(e10,e10)
      & op1(e10,op1(e10,e10)) = e10 )
    | ( op1(e11,e10) = op1(e10,e11)
      & op1(e11,e11) != op1(e10,e11)
      & op1(e11,op1(e10,e11)) = e11 )
    | ( op1(e12,e10) = op1(e10,e12)
      & op1(e12,e12) != op1(e10,e12)
      & op1(e12,op1(e10,e12)) = e12 )
    | ( op1(e13,e10) = op1(e10,e13)
      & op1(e13,e13) != op1(e10,e13)
      & op1(e13,op1(e10,e13)) = e13 )
    | ( op1(e10,e11) = op1(e11,e10)
      & op1(e10,e10) != op1(e11,e10)
      & op1(e10,op1(e11,e10)) = e10 )
    | ( op1(e11,e11) = op1(e11,e11)
      & op1(e11,e11) != op1(e11,e11)
      & op1(e11,op1(e11,e11)) = e11 )
    | ( op1(e12,e11) = op1(e11,e12)
      & op1(e12,e12) != op1(e11,e12)
      & op1(e12,op1(e11,e12)) = e12 )
    | ( op1(e13,e11) = op1(e11,e13)
      & op1(e13,e13) != op1(e11,e13)
      & op1(e13,op1(e11,e13)) = e13 )
    | ( op1(e10,e12) = op1(e12,e10)
      & op1(e10,e10) != op1(e12,e10)
      & op1(e10,op1(e12,e10)) = e10 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f630]) ).

fof(f676,plain,
    ( pd0_55
   => ( ( op1(e10,e10) = op1(e10,e10)
        & op1(e10,e10) != op1(e10,e10)
        & op1(e10,op1(e10,e10)) = e10 )
      | ( op1(e11,e10) = op1(e10,e11)
        & op1(e11,e11) != op1(e10,e11)
        & op1(e11,op1(e10,e11)) = e11 )
      | ( op1(e12,e10) = op1(e10,e12)
        & op1(e12,e12) != op1(e10,e12)
        & op1(e12,op1(e10,e12)) = e12 )
      | ( op1(e13,e10) = op1(e10,e13)
        & op1(e13,e13) != op1(e10,e13)
        & op1(e13,op1(e10,e13)) = e13 )
      | ( op1(e10,e11) = op1(e11,e10)
        & op1(e10,e10) != op1(e11,e10)
        & op1(e10,op1(e11,e10)) = e10 )
      | ( op1(e11,e11) = op1(e11,e11)
        & op1(e11,e11) != op1(e11,e11)
        & op1(e11,op1(e11,e11)) = e11 )
      | ( op1(e12,e11) = op1(e11,e12)
        & op1(e12,e12) != op1(e11,e12)
        & op1(e12,op1(e11,e12)) = e12 )
      | ( op1(e13,e11) = op1(e11,e13)
        & op1(e13,e13) != op1(e11,e13)
        & op1(e13,op1(e11,e13)) = e13 ) ) ),
    introduced(predicate_definition,[f675]) ).

fof(f677,plain,
    ( ~ pd0_49
    | pd0_55
    | ( op1(e10,e12) = op1(e12,e10)
      & op1(e10,e10) != op1(e12,e10)
      & op1(e10,op1(e12,e10)) = e10 ) ),
    inference(formula_renaming,[status(thm)],[f675,f676]) ).

fof(f678,plain,
    ( ~ pd0_49
    | pd0_55
    | op1(e10,e12) = op1(e12,e10) ),
    inference(cnf_transformation,[status(esa)],[f677]) ).

fof(f680,plain,
    ( ~ pd0_49
    | pd0_55
    | op1(e10,op1(e12,e10)) = e10 ),
    inference(cnf_transformation,[status(esa)],[f677]) ).

fof(f681,plain,
    ( ~ pd0_50
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | ( ( op1(e10,e10) != e10
            | op1(e10,e10) != e10 )
          & ( op1(e10,e10) != e11
            | op1(e10,e10) != e11 )
          & ( op1(e10,e10) != e12
            | op1(e10,e10) != e12 )
          & ( op1(e10,e10) != e13
            | op1(e10,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | ( ( op1(e10,e11) != e10
            | op1(e11,e10) != e10 )
          & ( op1(e10,e11) != e11
            | op1(e11,e10) != e11 )
          & ( op1(e10,e11) != e12
            | op1(e11,e10) != e12 )
          & ( op1(e10,e11) != e13
            | op1(e11,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | ( ( op1(e10,e12) != e10
            | op1(e12,e10) != e10 )
          & ( op1(e10,e12) != e11
            | op1(e12,e10) != e11 )
          & ( op1(e10,e12) != e12
            | op1(e12,e10) != e12 )
          & ( op1(e10,e12) != e13
            | op1(e12,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e13
      & ( op1(e10,e10) != e13
        | ( ( op1(e10,e13) != e10
            | op1(e13,e10) != e10 )
          & ( op1(e10,e13) != e11
            | op1(e13,e10) != e11 )
          & ( op1(e10,e13) != e12
            | op1(e13,e10) != e12 )
          & ( op1(e10,e13) != e13
            | op1(e13,e10) != e13 ) ) ) )
    | ( op1(e11,e11) = e10
      & ( op1(e11,e11) != e10
        | ( ( op1(e11,e10) != e10
            | op1(e10,e11) != e10 )
          & ( op1(e11,e10) != e11
            | op1(e10,e11) != e11 )
          & ( op1(e11,e10) != e12
            | op1(e10,e11) != e12 )
          & ( op1(e11,e10) != e13
            | op1(e10,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e11
      & ( op1(e11,e11) != e11
        | ( ( op1(e11,e11) != e10
            | op1(e11,e11) != e10 )
          & ( op1(e11,e11) != e11
            | op1(e11,e11) != e11 )
          & ( op1(e11,e11) != e12
            | op1(e11,e11) != e12 )
          & ( op1(e11,e11) != e13
            | op1(e11,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e12
      & ( op1(e11,e11) != e12
        | ( ( op1(e11,e12) != e10
            | op1(e12,e11) != e10 )
          & ( op1(e11,e12) != e11
            | op1(e12,e11) != e11 )
          & ( op1(e11,e12) != e12
            | op1(e12,e11) != e12 )
          & ( op1(e11,e12) != e13
            | op1(e12,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e13
      & ( op1(e11,e11) != e13
        | ( ( op1(e11,e13) != e10
            | op1(e13,e11) != e10 )
          & ( op1(e11,e13) != e11
            | op1(e13,e11) != e11 )
          & ( op1(e11,e13) != e12
            | op1(e13,e11) != e12 )
          & ( op1(e11,e13) != e13
            | op1(e13,e11) != e13 ) ) ) )
    | ( op1(e12,e12) = e10
      & ( op1(e12,e12) != e10
        | ( ( op1(e12,e10) != e10
            | op1(e10,e12) != e10 )
          & ( op1(e12,e10) != e11
            | op1(e10,e12) != e11 )
          & ( op1(e12,e10) != e12
            | op1(e10,e12) != e12 )
          & ( op1(e12,e10) != e13
            | op1(e10,e12) != e13 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f636]) ).

fof(f682,plain,
    ( pd0_56
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | ( ( op1(e10,e10) != e10
              | op1(e10,e10) != e10 )
            & ( op1(e10,e10) != e11
              | op1(e10,e10) != e11 )
            & ( op1(e10,e10) != e12
              | op1(e10,e10) != e12 )
            & ( op1(e10,e10) != e13
              | op1(e10,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | ( ( op1(e10,e11) != e10
              | op1(e11,e10) != e10 )
            & ( op1(e10,e11) != e11
              | op1(e11,e10) != e11 )
            & ( op1(e10,e11) != e12
              | op1(e11,e10) != e12 )
            & ( op1(e10,e11) != e13
              | op1(e11,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | ( ( op1(e10,e12) != e10
              | op1(e12,e10) != e10 )
            & ( op1(e10,e12) != e11
              | op1(e12,e10) != e11 )
            & ( op1(e10,e12) != e12
              | op1(e12,e10) != e12 )
            & ( op1(e10,e12) != e13
              | op1(e12,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e13
        & ( op1(e10,e10) != e13
          | ( ( op1(e10,e13) != e10
              | op1(e13,e10) != e10 )
            & ( op1(e10,e13) != e11
              | op1(e13,e10) != e11 )
            & ( op1(e10,e13) != e12
              | op1(e13,e10) != e12 )
            & ( op1(e10,e13) != e13
              | op1(e13,e10) != e13 ) ) ) )
      | ( op1(e11,e11) = e10
        & ( op1(e11,e11) != e10
          | ( ( op1(e11,e10) != e10
              | op1(e10,e11) != e10 )
            & ( op1(e11,e10) != e11
              | op1(e10,e11) != e11 )
            & ( op1(e11,e10) != e12
              | op1(e10,e11) != e12 )
            & ( op1(e11,e10) != e13
              | op1(e10,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e11
        & ( op1(e11,e11) != e11
          | ( ( op1(e11,e11) != e10
              | op1(e11,e11) != e10 )
            & ( op1(e11,e11) != e11
              | op1(e11,e11) != e11 )
            & ( op1(e11,e11) != e12
              | op1(e11,e11) != e12 )
            & ( op1(e11,e11) != e13
              | op1(e11,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e12
        & ( op1(e11,e11) != e12
          | ( ( op1(e11,e12) != e10
              | op1(e12,e11) != e10 )
            & ( op1(e11,e12) != e11
              | op1(e12,e11) != e11 )
            & ( op1(e11,e12) != e12
              | op1(e12,e11) != e12 )
            & ( op1(e11,e12) != e13
              | op1(e12,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e13
        & ( op1(e11,e11) != e13
          | ( ( op1(e11,e13) != e10
              | op1(e13,e11) != e10 )
            & ( op1(e11,e13) != e11
              | op1(e13,e11) != e11 )
            & ( op1(e11,e13) != e12
              | op1(e13,e11) != e12 )
            & ( op1(e11,e13) != e13
              | op1(e13,e11) != e13 ) ) ) ) ) ),
    introduced(predicate_definition,[f681]) ).

fof(f683,plain,
    ( ~ pd0_50
    | pd0_56
    | ( op1(e12,e12) = e10
      & ( op1(e12,e12) != e10
        | ( ( op1(e12,e10) != e10
            | op1(e10,e12) != e10 )
          & ( op1(e12,e10) != e11
            | op1(e10,e12) != e11 )
          & ( op1(e12,e10) != e12
            | op1(e10,e12) != e12 )
          & ( op1(e12,e10) != e13
            | op1(e10,e12) != e13 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f681,f682]) ).

fof(f684,plain,
    ( ~ pd0_50
    | pd0_56
    | op1(e12,e12) = e10 ),
    inference(cnf_transformation,[status(esa)],[f683]) ).

fof(f689,plain,
    ( ~ pd0_51
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e23) = e20
      & op2(e23,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e21,e20) = e21
      & op2(e20,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e21) = e21
      & op2(e21,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e22) = e21
      & op2(e22,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e23) = e21
      & op2(e23,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e22,e20) = e22
      & op2(e20,e22) = e22
      & op2(e20,e22) != e20
      & op2(e21,e22) != e21
      & op2(e22,e22) != e22
      & op2(e23,e22) != e23 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f644]) ).

fof(f690,plain,
    ( pd0_57
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e23) = e21
        & op2(e23,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 ) ) ),
    introduced(predicate_definition,[f689]) ).

fof(f691,plain,
    ( ~ pd0_51
    | pd0_57
    | ( op2(e22,e20) = e22
      & op2(e20,e22) = e22
      & op2(e20,e22) != e20
      & op2(e21,e22) != e21
      & op2(e22,e22) != e22
      & op2(e23,e22) != e23 ) ),
    inference(formula_renaming,[status(thm)],[f689,f690]) ).

fof(f692,plain,
    ( ~ pd0_51
    | pd0_57
    | op2(e22,e20) = e22 ),
    inference(cnf_transformation,[status(esa)],[f691]) ).

fof(f693,plain,
    ( ~ pd0_51
    | pd0_57
    | op2(e20,e22) = e22 ),
    inference(cnf_transformation,[status(esa)],[f691]) ).

fof(f695,plain,
    ( ~ pd0_51
    | pd0_57
    | op2(e21,e22) != e21 ),
    inference(cnf_transformation,[status(esa)],[f691]) ).

fof(f697,plain,
    ( ~ pd0_51
    | pd0_57
    | op2(e23,e22) != e23 ),
    inference(cnf_transformation,[status(esa)],[f691]) ).

fof(f698,plain,
    ( ~ pd0_52
    | ( op2(e20,e20) = op2(e20,e20)
      & op2(e20,e20) != op2(e20,e20)
      & op2(e20,op2(e20,e20)) = e20 )
    | ( op2(e21,e20) = op2(e20,e21)
      & op2(e21,e21) != op2(e20,e21)
      & op2(e21,op2(e20,e21)) = e21 )
    | ( op2(e22,e20) = op2(e20,e22)
      & op2(e22,e22) != op2(e20,e22)
      & op2(e22,op2(e20,e22)) = e22 )
    | ( op2(e23,e20) = op2(e20,e23)
      & op2(e23,e23) != op2(e20,e23)
      & op2(e23,op2(e20,e23)) = e23 )
    | ( op2(e20,e21) = op2(e21,e20)
      & op2(e20,e20) != op2(e21,e20)
      & op2(e20,op2(e21,e20)) = e20 )
    | ( op2(e21,e21) = op2(e21,e21)
      & op2(e21,e21) != op2(e21,e21)
      & op2(e21,op2(e21,e21)) = e21 )
    | ( op2(e22,e21) = op2(e21,e22)
      & op2(e22,e22) != op2(e21,e22)
      & op2(e22,op2(e21,e22)) = e22 )
    | ( op2(e23,e21) = op2(e21,e23)
      & op2(e23,e23) != op2(e21,e23)
      & op2(e23,op2(e21,e23)) = e23 )
    | ( op2(e20,e22) = op2(e22,e20)
      & op2(e20,e20) != op2(e22,e20)
      & op2(e20,op2(e22,e20)) = e20 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f653]) ).

fof(f699,plain,
    ( pd0_58
   => ( ( op2(e20,e20) = op2(e20,e20)
        & op2(e20,e20) != op2(e20,e20)
        & op2(e20,op2(e20,e20)) = e20 )
      | ( op2(e21,e20) = op2(e20,e21)
        & op2(e21,e21) != op2(e20,e21)
        & op2(e21,op2(e20,e21)) = e21 )
      | ( op2(e22,e20) = op2(e20,e22)
        & op2(e22,e22) != op2(e20,e22)
        & op2(e22,op2(e20,e22)) = e22 )
      | ( op2(e23,e20) = op2(e20,e23)
        & op2(e23,e23) != op2(e20,e23)
        & op2(e23,op2(e20,e23)) = e23 )
      | ( op2(e20,e21) = op2(e21,e20)
        & op2(e20,e20) != op2(e21,e20)
        & op2(e20,op2(e21,e20)) = e20 )
      | ( op2(e21,e21) = op2(e21,e21)
        & op2(e21,e21) != op2(e21,e21)
        & op2(e21,op2(e21,e21)) = e21 )
      | ( op2(e22,e21) = op2(e21,e22)
        & op2(e22,e22) != op2(e21,e22)
        & op2(e22,op2(e21,e22)) = e22 )
      | ( op2(e23,e21) = op2(e21,e23)
        & op2(e23,e23) != op2(e21,e23)
        & op2(e23,op2(e21,e23)) = e23 ) ) ),
    introduced(predicate_definition,[f698]) ).

fof(f700,plain,
    ( ~ pd0_52
    | pd0_58
    | ( op2(e20,e22) = op2(e22,e20)
      & op2(e20,e20) != op2(e22,e20)
      & op2(e20,op2(e22,e20)) = e20 ) ),
    inference(formula_renaming,[status(thm)],[f698,f699]) ).

fof(f701,plain,
    ( ~ pd0_52
    | pd0_58
    | op2(e20,e22) = op2(e22,e20) ),
    inference(cnf_transformation,[status(esa)],[f700]) ).

fof(f703,plain,
    ( ~ pd0_52
    | pd0_58
    | op2(e20,op2(e22,e20)) = e20 ),
    inference(cnf_transformation,[status(esa)],[f700]) ).

fof(f704,plain,
    ( ~ pd0_53
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | ( ( op2(e20,e20) != e20
            | op2(e20,e20) != e20 )
          & ( op2(e20,e20) != e21
            | op2(e20,e20) != e21 )
          & ( op2(e20,e20) != e22
            | op2(e20,e20) != e22 )
          & ( op2(e20,e20) != e23
            | op2(e20,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | ( ( op2(e20,e21) != e20
            | op2(e21,e20) != e20 )
          & ( op2(e20,e21) != e21
            | op2(e21,e20) != e21 )
          & ( op2(e20,e21) != e22
            | op2(e21,e20) != e22 )
          & ( op2(e20,e21) != e23
            | op2(e21,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | ( ( op2(e20,e22) != e20
            | op2(e22,e20) != e20 )
          & ( op2(e20,e22) != e21
            | op2(e22,e20) != e21 )
          & ( op2(e20,e22) != e22
            | op2(e22,e20) != e22 )
          & ( op2(e20,e22) != e23
            | op2(e22,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e23
      & ( op2(e20,e20) != e23
        | ( ( op2(e20,e23) != e20
            | op2(e23,e20) != e20 )
          & ( op2(e20,e23) != e21
            | op2(e23,e20) != e21 )
          & ( op2(e20,e23) != e22
            | op2(e23,e20) != e22 )
          & ( op2(e20,e23) != e23
            | op2(e23,e20) != e23 ) ) ) )
    | ( op2(e21,e21) = e20
      & ( op2(e21,e21) != e20
        | ( ( op2(e21,e20) != e20
            | op2(e20,e21) != e20 )
          & ( op2(e21,e20) != e21
            | op2(e20,e21) != e21 )
          & ( op2(e21,e20) != e22
            | op2(e20,e21) != e22 )
          & ( op2(e21,e20) != e23
            | op2(e20,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e21
      & ( op2(e21,e21) != e21
        | ( ( op2(e21,e21) != e20
            | op2(e21,e21) != e20 )
          & ( op2(e21,e21) != e21
            | op2(e21,e21) != e21 )
          & ( op2(e21,e21) != e22
            | op2(e21,e21) != e22 )
          & ( op2(e21,e21) != e23
            | op2(e21,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e22
      & ( op2(e21,e21) != e22
        | ( ( op2(e21,e22) != e20
            | op2(e22,e21) != e20 )
          & ( op2(e21,e22) != e21
            | op2(e22,e21) != e21 )
          & ( op2(e21,e22) != e22
            | op2(e22,e21) != e22 )
          & ( op2(e21,e22) != e23
            | op2(e22,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e23
      & ( op2(e21,e21) != e23
        | ( ( op2(e21,e23) != e20
            | op2(e23,e21) != e20 )
          & ( op2(e21,e23) != e21
            | op2(e23,e21) != e21 )
          & ( op2(e21,e23) != e22
            | op2(e23,e21) != e22 )
          & ( op2(e21,e23) != e23
            | op2(e23,e21) != e23 ) ) ) )
    | ( op2(e22,e22) = e20
      & ( op2(e22,e22) != e20
        | ( ( op2(e22,e20) != e20
            | op2(e20,e22) != e20 )
          & ( op2(e22,e20) != e21
            | op2(e20,e22) != e21 )
          & ( op2(e22,e20) != e22
            | op2(e20,e22) != e22 )
          & ( op2(e22,e20) != e23
            | op2(e20,e22) != e23 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f659]) ).

fof(f705,plain,
    ( pd0_59
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | ( ( op2(e20,e20) != e20
              | op2(e20,e20) != e20 )
            & ( op2(e20,e20) != e21
              | op2(e20,e20) != e21 )
            & ( op2(e20,e20) != e22
              | op2(e20,e20) != e22 )
            & ( op2(e20,e20) != e23
              | op2(e20,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | ( ( op2(e20,e21) != e20
              | op2(e21,e20) != e20 )
            & ( op2(e20,e21) != e21
              | op2(e21,e20) != e21 )
            & ( op2(e20,e21) != e22
              | op2(e21,e20) != e22 )
            & ( op2(e20,e21) != e23
              | op2(e21,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | ( ( op2(e20,e22) != e20
              | op2(e22,e20) != e20 )
            & ( op2(e20,e22) != e21
              | op2(e22,e20) != e21 )
            & ( op2(e20,e22) != e22
              | op2(e22,e20) != e22 )
            & ( op2(e20,e22) != e23
              | op2(e22,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e23
        & ( op2(e20,e20) != e23
          | ( ( op2(e20,e23) != e20
              | op2(e23,e20) != e20 )
            & ( op2(e20,e23) != e21
              | op2(e23,e20) != e21 )
            & ( op2(e20,e23) != e22
              | op2(e23,e20) != e22 )
            & ( op2(e20,e23) != e23
              | op2(e23,e20) != e23 ) ) ) )
      | ( op2(e21,e21) = e20
        & ( op2(e21,e21) != e20
          | ( ( op2(e21,e20) != e20
              | op2(e20,e21) != e20 )
            & ( op2(e21,e20) != e21
              | op2(e20,e21) != e21 )
            & ( op2(e21,e20) != e22
              | op2(e20,e21) != e22 )
            & ( op2(e21,e20) != e23
              | op2(e20,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e21
        & ( op2(e21,e21) != e21
          | ( ( op2(e21,e21) != e20
              | op2(e21,e21) != e20 )
            & ( op2(e21,e21) != e21
              | op2(e21,e21) != e21 )
            & ( op2(e21,e21) != e22
              | op2(e21,e21) != e22 )
            & ( op2(e21,e21) != e23
              | op2(e21,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e22
        & ( op2(e21,e21) != e22
          | ( ( op2(e21,e22) != e20
              | op2(e22,e21) != e20 )
            & ( op2(e21,e22) != e21
              | op2(e22,e21) != e21 )
            & ( op2(e21,e22) != e22
              | op2(e22,e21) != e22 )
            & ( op2(e21,e22) != e23
              | op2(e22,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e23
        & ( op2(e21,e21) != e23
          | ( ( op2(e21,e23) != e20
              | op2(e23,e21) != e20 )
            & ( op2(e21,e23) != e21
              | op2(e23,e21) != e21 )
            & ( op2(e21,e23) != e22
              | op2(e23,e21) != e22 )
            & ( op2(e21,e23) != e23
              | op2(e23,e21) != e23 ) ) ) ) ) ),
    introduced(predicate_definition,[f704]) ).

fof(f706,plain,
    ( ~ pd0_53
    | pd0_59
    | ( op2(e22,e22) = e20
      & ( op2(e22,e22) != e20
        | ( ( op2(e22,e20) != e20
            | op2(e20,e22) != e20 )
          & ( op2(e22,e20) != e21
            | op2(e20,e22) != e21 )
          & ( op2(e22,e20) != e22
            | op2(e20,e22) != e22 )
          & ( op2(e22,e20) != e23
            | op2(e20,e22) != e23 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f704,f705]) ).

fof(f707,plain,
    ( ~ pd0_53
    | pd0_59
    | op2(e22,e22) = e20 ),
    inference(cnf_transformation,[status(esa)],[f706]) ).

fof(f712,plain,
    ( ~ pd0_54
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e13) = e10
      & op1(e13,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e11,e10) = e11
      & op1(e10,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e11) = e11
      & op1(e11,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e12) = e11
      & op1(e12,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e13) = e11
      & op1(e13,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f667]) ).

fof(f713,plain,
    ( pd0_60
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 ) ) ),
    introduced(predicate_definition,[f712]) ).

fof(f714,plain,
    ( ~ pd0_54
    | pd0_60
    | ( op1(e11,e13) = e11
      & op1(e13,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 ) ),
    inference(formula_renaming,[status(thm)],[f712,f713]) ).

fof(f715,plain,
    ( ~ pd0_54
    | pd0_60
    | op1(e11,e13) = e11 ),
    inference(cnf_transformation,[status(esa)],[f714]) ).

fof(f716,plain,
    ( ~ pd0_54
    | pd0_60
    | op1(e13,e11) = e11 ),
    inference(cnf_transformation,[status(esa)],[f714]) ).

fof(f718,plain,
    ( ~ pd0_54
    | pd0_60
    | op1(e11,e11) != e11 ),
    inference(cnf_transformation,[status(esa)],[f714]) ).

fof(f719,plain,
    ( ~ pd0_54
    | pd0_60
    | op1(e12,e11) != e12 ),
    inference(cnf_transformation,[status(esa)],[f714]) ).

fof(f721,plain,
    ( ~ pd0_55
    | ( op1(e10,e10) = op1(e10,e10)
      & op1(e10,e10) != op1(e10,e10)
      & op1(e10,op1(e10,e10)) = e10 )
    | ( op1(e11,e10) = op1(e10,e11)
      & op1(e11,e11) != op1(e10,e11)
      & op1(e11,op1(e10,e11)) = e11 )
    | ( op1(e12,e10) = op1(e10,e12)
      & op1(e12,e12) != op1(e10,e12)
      & op1(e12,op1(e10,e12)) = e12 )
    | ( op1(e13,e10) = op1(e10,e13)
      & op1(e13,e13) != op1(e10,e13)
      & op1(e13,op1(e10,e13)) = e13 )
    | ( op1(e10,e11) = op1(e11,e10)
      & op1(e10,e10) != op1(e11,e10)
      & op1(e10,op1(e11,e10)) = e10 )
    | ( op1(e11,e11) = op1(e11,e11)
      & op1(e11,e11) != op1(e11,e11)
      & op1(e11,op1(e11,e11)) = e11 )
    | ( op1(e12,e11) = op1(e11,e12)
      & op1(e12,e12) != op1(e11,e12)
      & op1(e12,op1(e11,e12)) = e12 )
    | ( op1(e13,e11) = op1(e11,e13)
      & op1(e13,e13) != op1(e11,e13)
      & op1(e13,op1(e11,e13)) = e13 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f676]) ).

fof(f722,plain,
    ( pd0_61
   => ( ( op1(e10,e10) = op1(e10,e10)
        & op1(e10,e10) != op1(e10,e10)
        & op1(e10,op1(e10,e10)) = e10 )
      | ( op1(e11,e10) = op1(e10,e11)
        & op1(e11,e11) != op1(e10,e11)
        & op1(e11,op1(e10,e11)) = e11 )
      | ( op1(e12,e10) = op1(e10,e12)
        & op1(e12,e12) != op1(e10,e12)
        & op1(e12,op1(e10,e12)) = e12 )
      | ( op1(e13,e10) = op1(e10,e13)
        & op1(e13,e13) != op1(e10,e13)
        & op1(e13,op1(e10,e13)) = e13 )
      | ( op1(e10,e11) = op1(e11,e10)
        & op1(e10,e10) != op1(e11,e10)
        & op1(e10,op1(e11,e10)) = e10 )
      | ( op1(e11,e11) = op1(e11,e11)
        & op1(e11,e11) != op1(e11,e11)
        & op1(e11,op1(e11,e11)) = e11 )
      | ( op1(e12,e11) = op1(e11,e12)
        & op1(e12,e12) != op1(e11,e12)
        & op1(e12,op1(e11,e12)) = e12 ) ) ),
    introduced(predicate_definition,[f721]) ).

fof(f723,plain,
    ( ~ pd0_55
    | pd0_61
    | ( op1(e13,e11) = op1(e11,e13)
      & op1(e13,e13) != op1(e11,e13)
      & op1(e13,op1(e11,e13)) = e13 ) ),
    inference(formula_renaming,[status(thm)],[f721,f722]) ).

fof(f724,plain,
    ( ~ pd0_55
    | pd0_61
    | op1(e13,e11) = op1(e11,e13) ),
    inference(cnf_transformation,[status(esa)],[f723]) ).

fof(f726,plain,
    ( ~ pd0_55
    | pd0_61
    | op1(e13,op1(e11,e13)) = e13 ),
    inference(cnf_transformation,[status(esa)],[f723]) ).

fof(f727,plain,
    ( ~ pd0_56
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | ( ( op1(e10,e10) != e10
            | op1(e10,e10) != e10 )
          & ( op1(e10,e10) != e11
            | op1(e10,e10) != e11 )
          & ( op1(e10,e10) != e12
            | op1(e10,e10) != e12 )
          & ( op1(e10,e10) != e13
            | op1(e10,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | ( ( op1(e10,e11) != e10
            | op1(e11,e10) != e10 )
          & ( op1(e10,e11) != e11
            | op1(e11,e10) != e11 )
          & ( op1(e10,e11) != e12
            | op1(e11,e10) != e12 )
          & ( op1(e10,e11) != e13
            | op1(e11,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | ( ( op1(e10,e12) != e10
            | op1(e12,e10) != e10 )
          & ( op1(e10,e12) != e11
            | op1(e12,e10) != e11 )
          & ( op1(e10,e12) != e12
            | op1(e12,e10) != e12 )
          & ( op1(e10,e12) != e13
            | op1(e12,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e13
      & ( op1(e10,e10) != e13
        | ( ( op1(e10,e13) != e10
            | op1(e13,e10) != e10 )
          & ( op1(e10,e13) != e11
            | op1(e13,e10) != e11 )
          & ( op1(e10,e13) != e12
            | op1(e13,e10) != e12 )
          & ( op1(e10,e13) != e13
            | op1(e13,e10) != e13 ) ) ) )
    | ( op1(e11,e11) = e10
      & ( op1(e11,e11) != e10
        | ( ( op1(e11,e10) != e10
            | op1(e10,e11) != e10 )
          & ( op1(e11,e10) != e11
            | op1(e10,e11) != e11 )
          & ( op1(e11,e10) != e12
            | op1(e10,e11) != e12 )
          & ( op1(e11,e10) != e13
            | op1(e10,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e11
      & ( op1(e11,e11) != e11
        | ( ( op1(e11,e11) != e10
            | op1(e11,e11) != e10 )
          & ( op1(e11,e11) != e11
            | op1(e11,e11) != e11 )
          & ( op1(e11,e11) != e12
            | op1(e11,e11) != e12 )
          & ( op1(e11,e11) != e13
            | op1(e11,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e12
      & ( op1(e11,e11) != e12
        | ( ( op1(e11,e12) != e10
            | op1(e12,e11) != e10 )
          & ( op1(e11,e12) != e11
            | op1(e12,e11) != e11 )
          & ( op1(e11,e12) != e12
            | op1(e12,e11) != e12 )
          & ( op1(e11,e12) != e13
            | op1(e12,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e13
      & ( op1(e11,e11) != e13
        | ( ( op1(e11,e13) != e10
            | op1(e13,e11) != e10 )
          & ( op1(e11,e13) != e11
            | op1(e13,e11) != e11 )
          & ( op1(e11,e13) != e12
            | op1(e13,e11) != e12 )
          & ( op1(e11,e13) != e13
            | op1(e13,e11) != e13 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f682]) ).

fof(f728,plain,
    ( pd0_62
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | ( ( op1(e10,e10) != e10
              | op1(e10,e10) != e10 )
            & ( op1(e10,e10) != e11
              | op1(e10,e10) != e11 )
            & ( op1(e10,e10) != e12
              | op1(e10,e10) != e12 )
            & ( op1(e10,e10) != e13
              | op1(e10,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | ( ( op1(e10,e11) != e10
              | op1(e11,e10) != e10 )
            & ( op1(e10,e11) != e11
              | op1(e11,e10) != e11 )
            & ( op1(e10,e11) != e12
              | op1(e11,e10) != e12 )
            & ( op1(e10,e11) != e13
              | op1(e11,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | ( ( op1(e10,e12) != e10
              | op1(e12,e10) != e10 )
            & ( op1(e10,e12) != e11
              | op1(e12,e10) != e11 )
            & ( op1(e10,e12) != e12
              | op1(e12,e10) != e12 )
            & ( op1(e10,e12) != e13
              | op1(e12,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e13
        & ( op1(e10,e10) != e13
          | ( ( op1(e10,e13) != e10
              | op1(e13,e10) != e10 )
            & ( op1(e10,e13) != e11
              | op1(e13,e10) != e11 )
            & ( op1(e10,e13) != e12
              | op1(e13,e10) != e12 )
            & ( op1(e10,e13) != e13
              | op1(e13,e10) != e13 ) ) ) )
      | ( op1(e11,e11) = e10
        & ( op1(e11,e11) != e10
          | ( ( op1(e11,e10) != e10
              | op1(e10,e11) != e10 )
            & ( op1(e11,e10) != e11
              | op1(e10,e11) != e11 )
            & ( op1(e11,e10) != e12
              | op1(e10,e11) != e12 )
            & ( op1(e11,e10) != e13
              | op1(e10,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e11
        & ( op1(e11,e11) != e11
          | ( ( op1(e11,e11) != e10
              | op1(e11,e11) != e10 )
            & ( op1(e11,e11) != e11
              | op1(e11,e11) != e11 )
            & ( op1(e11,e11) != e12
              | op1(e11,e11) != e12 )
            & ( op1(e11,e11) != e13
              | op1(e11,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e12
        & ( op1(e11,e11) != e12
          | ( ( op1(e11,e12) != e10
              | op1(e12,e11) != e10 )
            & ( op1(e11,e12) != e11
              | op1(e12,e11) != e11 )
            & ( op1(e11,e12) != e12
              | op1(e12,e11) != e12 )
            & ( op1(e11,e12) != e13
              | op1(e12,e11) != e13 ) ) ) ) ) ),
    introduced(predicate_definition,[f727]) ).

fof(f729,plain,
    ( ~ pd0_56
    | pd0_62
    | ( op1(e11,e11) = e13
      & ( op1(e11,e11) != e13
        | ( ( op1(e11,e13) != e10
            | op1(e13,e11) != e10 )
          & ( op1(e11,e13) != e11
            | op1(e13,e11) != e11 )
          & ( op1(e11,e13) != e12
            | op1(e13,e11) != e12 )
          & ( op1(e11,e13) != e13
            | op1(e13,e11) != e13 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f727,f728]) ).

fof(f730,plain,
    ( ~ pd0_56
    | pd0_62
    | op1(e11,e11) = e13 ),
    inference(cnf_transformation,[status(esa)],[f729]) ).

fof(f731,plain,
    ( ~ pd0_56
    | pd0_62
    | op1(e11,e11) != e13
    | op1(e11,e13) != e10
    | op1(e13,e11) != e10 ),
    inference(cnf_transformation,[status(esa)],[f729]) ).

fof(f732,plain,
    ( ~ pd0_56
    | pd0_62
    | op1(e11,e11) != e13
    | op1(e11,e13) != e11
    | op1(e13,e11) != e11 ),
    inference(cnf_transformation,[status(esa)],[f729]) ).

fof(f735,plain,
    ( ~ pd0_57
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e23) = e20
      & op2(e23,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e21,e20) = e21
      & op2(e20,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e21) = e21
      & op2(e21,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e22) = e21
      & op2(e22,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e23) = e21
      & op2(e23,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f690]) ).

fof(f736,plain,
    ( pd0_63
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 ) ) ),
    introduced(predicate_definition,[f735]) ).

fof(f737,plain,
    ( ~ pd0_57
    | pd0_63
    | ( op2(e21,e23) = e21
      & op2(e23,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 ) ),
    inference(formula_renaming,[status(thm)],[f735,f736]) ).

fof(f738,plain,
    ( ~ pd0_57
    | pd0_63
    | op2(e21,e23) = e21 ),
    inference(cnf_transformation,[status(esa)],[f737]) ).

fof(f739,plain,
    ( ~ pd0_57
    | pd0_63
    | op2(e23,e21) = e21 ),
    inference(cnf_transformation,[status(esa)],[f737]) ).

fof(f741,plain,
    ( ~ pd0_57
    | pd0_63
    | op2(e21,e21) != e21 ),
    inference(cnf_transformation,[status(esa)],[f737]) ).

fof(f742,plain,
    ( ~ pd0_57
    | pd0_63
    | op2(e22,e21) != e22 ),
    inference(cnf_transformation,[status(esa)],[f737]) ).

fof(f744,plain,
    ( ~ pd0_58
    | ( op2(e20,e20) = op2(e20,e20)
      & op2(e20,e20) != op2(e20,e20)
      & op2(e20,op2(e20,e20)) = e20 )
    | ( op2(e21,e20) = op2(e20,e21)
      & op2(e21,e21) != op2(e20,e21)
      & op2(e21,op2(e20,e21)) = e21 )
    | ( op2(e22,e20) = op2(e20,e22)
      & op2(e22,e22) != op2(e20,e22)
      & op2(e22,op2(e20,e22)) = e22 )
    | ( op2(e23,e20) = op2(e20,e23)
      & op2(e23,e23) != op2(e20,e23)
      & op2(e23,op2(e20,e23)) = e23 )
    | ( op2(e20,e21) = op2(e21,e20)
      & op2(e20,e20) != op2(e21,e20)
      & op2(e20,op2(e21,e20)) = e20 )
    | ( op2(e21,e21) = op2(e21,e21)
      & op2(e21,e21) != op2(e21,e21)
      & op2(e21,op2(e21,e21)) = e21 )
    | ( op2(e22,e21) = op2(e21,e22)
      & op2(e22,e22) != op2(e21,e22)
      & op2(e22,op2(e21,e22)) = e22 )
    | ( op2(e23,e21) = op2(e21,e23)
      & op2(e23,e23) != op2(e21,e23)
      & op2(e23,op2(e21,e23)) = e23 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f699]) ).

fof(f745,plain,
    ( pd0_64
   => ( ( op2(e20,e20) = op2(e20,e20)
        & op2(e20,e20) != op2(e20,e20)
        & op2(e20,op2(e20,e20)) = e20 )
      | ( op2(e21,e20) = op2(e20,e21)
        & op2(e21,e21) != op2(e20,e21)
        & op2(e21,op2(e20,e21)) = e21 )
      | ( op2(e22,e20) = op2(e20,e22)
        & op2(e22,e22) != op2(e20,e22)
        & op2(e22,op2(e20,e22)) = e22 )
      | ( op2(e23,e20) = op2(e20,e23)
        & op2(e23,e23) != op2(e20,e23)
        & op2(e23,op2(e20,e23)) = e23 )
      | ( op2(e20,e21) = op2(e21,e20)
        & op2(e20,e20) != op2(e21,e20)
        & op2(e20,op2(e21,e20)) = e20 )
      | ( op2(e21,e21) = op2(e21,e21)
        & op2(e21,e21) != op2(e21,e21)
        & op2(e21,op2(e21,e21)) = e21 )
      | ( op2(e22,e21) = op2(e21,e22)
        & op2(e22,e22) != op2(e21,e22)
        & op2(e22,op2(e21,e22)) = e22 ) ) ),
    introduced(predicate_definition,[f744]) ).

fof(f746,plain,
    ( ~ pd0_58
    | pd0_64
    | ( op2(e23,e21) = op2(e21,e23)
      & op2(e23,e23) != op2(e21,e23)
      & op2(e23,op2(e21,e23)) = e23 ) ),
    inference(formula_renaming,[status(thm)],[f744,f745]) ).

fof(f747,plain,
    ( ~ pd0_58
    | pd0_64
    | op2(e23,e21) = op2(e21,e23) ),
    inference(cnf_transformation,[status(esa)],[f746]) ).

fof(f749,plain,
    ( ~ pd0_58
    | pd0_64
    | op2(e23,op2(e21,e23)) = e23 ),
    inference(cnf_transformation,[status(esa)],[f746]) ).

fof(f750,plain,
    ( ~ pd0_59
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | ( ( op2(e20,e20) != e20
            | op2(e20,e20) != e20 )
          & ( op2(e20,e20) != e21
            | op2(e20,e20) != e21 )
          & ( op2(e20,e20) != e22
            | op2(e20,e20) != e22 )
          & ( op2(e20,e20) != e23
            | op2(e20,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | ( ( op2(e20,e21) != e20
            | op2(e21,e20) != e20 )
          & ( op2(e20,e21) != e21
            | op2(e21,e20) != e21 )
          & ( op2(e20,e21) != e22
            | op2(e21,e20) != e22 )
          & ( op2(e20,e21) != e23
            | op2(e21,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | ( ( op2(e20,e22) != e20
            | op2(e22,e20) != e20 )
          & ( op2(e20,e22) != e21
            | op2(e22,e20) != e21 )
          & ( op2(e20,e22) != e22
            | op2(e22,e20) != e22 )
          & ( op2(e20,e22) != e23
            | op2(e22,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e23
      & ( op2(e20,e20) != e23
        | ( ( op2(e20,e23) != e20
            | op2(e23,e20) != e20 )
          & ( op2(e20,e23) != e21
            | op2(e23,e20) != e21 )
          & ( op2(e20,e23) != e22
            | op2(e23,e20) != e22 )
          & ( op2(e20,e23) != e23
            | op2(e23,e20) != e23 ) ) ) )
    | ( op2(e21,e21) = e20
      & ( op2(e21,e21) != e20
        | ( ( op2(e21,e20) != e20
            | op2(e20,e21) != e20 )
          & ( op2(e21,e20) != e21
            | op2(e20,e21) != e21 )
          & ( op2(e21,e20) != e22
            | op2(e20,e21) != e22 )
          & ( op2(e21,e20) != e23
            | op2(e20,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e21
      & ( op2(e21,e21) != e21
        | ( ( op2(e21,e21) != e20
            | op2(e21,e21) != e20 )
          & ( op2(e21,e21) != e21
            | op2(e21,e21) != e21 )
          & ( op2(e21,e21) != e22
            | op2(e21,e21) != e22 )
          & ( op2(e21,e21) != e23
            | op2(e21,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e22
      & ( op2(e21,e21) != e22
        | ( ( op2(e21,e22) != e20
            | op2(e22,e21) != e20 )
          & ( op2(e21,e22) != e21
            | op2(e22,e21) != e21 )
          & ( op2(e21,e22) != e22
            | op2(e22,e21) != e22 )
          & ( op2(e21,e22) != e23
            | op2(e22,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e23
      & ( op2(e21,e21) != e23
        | ( ( op2(e21,e23) != e20
            | op2(e23,e21) != e20 )
          & ( op2(e21,e23) != e21
            | op2(e23,e21) != e21 )
          & ( op2(e21,e23) != e22
            | op2(e23,e21) != e22 )
          & ( op2(e21,e23) != e23
            | op2(e23,e21) != e23 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f705]) ).

fof(f751,plain,
    ( pd0_65
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | ( ( op2(e20,e20) != e20
              | op2(e20,e20) != e20 )
            & ( op2(e20,e20) != e21
              | op2(e20,e20) != e21 )
            & ( op2(e20,e20) != e22
              | op2(e20,e20) != e22 )
            & ( op2(e20,e20) != e23
              | op2(e20,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | ( ( op2(e20,e21) != e20
              | op2(e21,e20) != e20 )
            & ( op2(e20,e21) != e21
              | op2(e21,e20) != e21 )
            & ( op2(e20,e21) != e22
              | op2(e21,e20) != e22 )
            & ( op2(e20,e21) != e23
              | op2(e21,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | ( ( op2(e20,e22) != e20
              | op2(e22,e20) != e20 )
            & ( op2(e20,e22) != e21
              | op2(e22,e20) != e21 )
            & ( op2(e20,e22) != e22
              | op2(e22,e20) != e22 )
            & ( op2(e20,e22) != e23
              | op2(e22,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e23
        & ( op2(e20,e20) != e23
          | ( ( op2(e20,e23) != e20
              | op2(e23,e20) != e20 )
            & ( op2(e20,e23) != e21
              | op2(e23,e20) != e21 )
            & ( op2(e20,e23) != e22
              | op2(e23,e20) != e22 )
            & ( op2(e20,e23) != e23
              | op2(e23,e20) != e23 ) ) ) )
      | ( op2(e21,e21) = e20
        & ( op2(e21,e21) != e20
          | ( ( op2(e21,e20) != e20
              | op2(e20,e21) != e20 )
            & ( op2(e21,e20) != e21
              | op2(e20,e21) != e21 )
            & ( op2(e21,e20) != e22
              | op2(e20,e21) != e22 )
            & ( op2(e21,e20) != e23
              | op2(e20,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e21
        & ( op2(e21,e21) != e21
          | ( ( op2(e21,e21) != e20
              | op2(e21,e21) != e20 )
            & ( op2(e21,e21) != e21
              | op2(e21,e21) != e21 )
            & ( op2(e21,e21) != e22
              | op2(e21,e21) != e22 )
            & ( op2(e21,e21) != e23
              | op2(e21,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e22
        & ( op2(e21,e21) != e22
          | ( ( op2(e21,e22) != e20
              | op2(e22,e21) != e20 )
            & ( op2(e21,e22) != e21
              | op2(e22,e21) != e21 )
            & ( op2(e21,e22) != e22
              | op2(e22,e21) != e22 )
            & ( op2(e21,e22) != e23
              | op2(e22,e21) != e23 ) ) ) ) ) ),
    introduced(predicate_definition,[f750]) ).

fof(f752,plain,
    ( ~ pd0_59
    | pd0_65
    | ( op2(e21,e21) = e23
      & ( op2(e21,e21) != e23
        | ( ( op2(e21,e23) != e20
            | op2(e23,e21) != e20 )
          & ( op2(e21,e23) != e21
            | op2(e23,e21) != e21 )
          & ( op2(e21,e23) != e22
            | op2(e23,e21) != e22 )
          & ( op2(e21,e23) != e23
            | op2(e23,e21) != e23 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f750,f751]) ).

fof(f753,plain,
    ( ~ pd0_59
    | pd0_65
    | op2(e21,e21) = e23 ),
    inference(cnf_transformation,[status(esa)],[f752]) ).

fof(f754,plain,
    ( ~ pd0_59
    | pd0_65
    | op2(e21,e21) != e23
    | op2(e21,e23) != e20
    | op2(e23,e21) != e20 ),
    inference(cnf_transformation,[status(esa)],[f752]) ).

fof(f755,plain,
    ( ~ pd0_59
    | pd0_65
    | op2(e21,e21) != e23
    | op2(e21,e23) != e21
    | op2(e23,e21) != e21 ),
    inference(cnf_transformation,[status(esa)],[f752]) ).

fof(f758,plain,
    ( ~ pd0_60
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e13) = e10
      & op1(e13,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e11,e10) = e11
      & op1(e10,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e11) = e11
      & op1(e11,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e12) = e11
      & op1(e12,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f713]) ).

fof(f759,plain,
    ( pd0_66
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 ) ) ),
    introduced(predicate_definition,[f758]) ).

fof(f760,plain,
    ( ~ pd0_60
    | pd0_66
    | ( op1(e11,e12) = e11
      & op1(e12,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 ) ),
    inference(formula_renaming,[status(thm)],[f758,f759]) ).

fof(f761,plain,
    ( ~ pd0_60
    | pd0_66
    | op1(e11,e12) = e11 ),
    inference(cnf_transformation,[status(esa)],[f760]) ).

fof(f762,plain,
    ( ~ pd0_60
    | pd0_66
    | op1(e12,e11) = e11 ),
    inference(cnf_transformation,[status(esa)],[f760]) ).

fof(f764,plain,
    ( ~ pd0_60
    | pd0_66
    | op1(e11,e11) != e11 ),
    inference(cnf_transformation,[status(esa)],[f760]) ).

fof(f765,plain,
    ( ~ pd0_60
    | pd0_66
    | op1(e12,e11) != e12 ),
    inference(cnf_transformation,[status(esa)],[f760]) ).

fof(f767,plain,
    ( ~ pd0_61
    | ( op1(e10,e10) = op1(e10,e10)
      & op1(e10,e10) != op1(e10,e10)
      & op1(e10,op1(e10,e10)) = e10 )
    | ( op1(e11,e10) = op1(e10,e11)
      & op1(e11,e11) != op1(e10,e11)
      & op1(e11,op1(e10,e11)) = e11 )
    | ( op1(e12,e10) = op1(e10,e12)
      & op1(e12,e12) != op1(e10,e12)
      & op1(e12,op1(e10,e12)) = e12 )
    | ( op1(e13,e10) = op1(e10,e13)
      & op1(e13,e13) != op1(e10,e13)
      & op1(e13,op1(e10,e13)) = e13 )
    | ( op1(e10,e11) = op1(e11,e10)
      & op1(e10,e10) != op1(e11,e10)
      & op1(e10,op1(e11,e10)) = e10 )
    | ( op1(e11,e11) = op1(e11,e11)
      & op1(e11,e11) != op1(e11,e11)
      & op1(e11,op1(e11,e11)) = e11 )
    | ( op1(e12,e11) = op1(e11,e12)
      & op1(e12,e12) != op1(e11,e12)
      & op1(e12,op1(e11,e12)) = e12 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f722]) ).

fof(f768,plain,
    ( pd0_67
   => ( ( op1(e10,e10) = op1(e10,e10)
        & op1(e10,e10) != op1(e10,e10)
        & op1(e10,op1(e10,e10)) = e10 )
      | ( op1(e11,e10) = op1(e10,e11)
        & op1(e11,e11) != op1(e10,e11)
        & op1(e11,op1(e10,e11)) = e11 )
      | ( op1(e12,e10) = op1(e10,e12)
        & op1(e12,e12) != op1(e10,e12)
        & op1(e12,op1(e10,e12)) = e12 )
      | ( op1(e13,e10) = op1(e10,e13)
        & op1(e13,e13) != op1(e10,e13)
        & op1(e13,op1(e10,e13)) = e13 )
      | ( op1(e10,e11) = op1(e11,e10)
        & op1(e10,e10) != op1(e11,e10)
        & op1(e10,op1(e11,e10)) = e10 )
      | ( op1(e11,e11) = op1(e11,e11)
        & op1(e11,e11) != op1(e11,e11)
        & op1(e11,op1(e11,e11)) = e11 ) ) ),
    introduced(predicate_definition,[f767]) ).

fof(f769,plain,
    ( ~ pd0_61
    | pd0_67
    | ( op1(e12,e11) = op1(e11,e12)
      & op1(e12,e12) != op1(e11,e12)
      & op1(e12,op1(e11,e12)) = e12 ) ),
    inference(formula_renaming,[status(thm)],[f767,f768]) ).

fof(f770,plain,
    ( ~ pd0_61
    | pd0_67
    | op1(e12,e11) = op1(e11,e12) ),
    inference(cnf_transformation,[status(esa)],[f769]) ).

fof(f772,plain,
    ( ~ pd0_61
    | pd0_67
    | op1(e12,op1(e11,e12)) = e12 ),
    inference(cnf_transformation,[status(esa)],[f769]) ).

fof(f773,plain,
    ( ~ pd0_62
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | ( ( op1(e10,e10) != e10
            | op1(e10,e10) != e10 )
          & ( op1(e10,e10) != e11
            | op1(e10,e10) != e11 )
          & ( op1(e10,e10) != e12
            | op1(e10,e10) != e12 )
          & ( op1(e10,e10) != e13
            | op1(e10,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | ( ( op1(e10,e11) != e10
            | op1(e11,e10) != e10 )
          & ( op1(e10,e11) != e11
            | op1(e11,e10) != e11 )
          & ( op1(e10,e11) != e12
            | op1(e11,e10) != e12 )
          & ( op1(e10,e11) != e13
            | op1(e11,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | ( ( op1(e10,e12) != e10
            | op1(e12,e10) != e10 )
          & ( op1(e10,e12) != e11
            | op1(e12,e10) != e11 )
          & ( op1(e10,e12) != e12
            | op1(e12,e10) != e12 )
          & ( op1(e10,e12) != e13
            | op1(e12,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e13
      & ( op1(e10,e10) != e13
        | ( ( op1(e10,e13) != e10
            | op1(e13,e10) != e10 )
          & ( op1(e10,e13) != e11
            | op1(e13,e10) != e11 )
          & ( op1(e10,e13) != e12
            | op1(e13,e10) != e12 )
          & ( op1(e10,e13) != e13
            | op1(e13,e10) != e13 ) ) ) )
    | ( op1(e11,e11) = e10
      & ( op1(e11,e11) != e10
        | ( ( op1(e11,e10) != e10
            | op1(e10,e11) != e10 )
          & ( op1(e11,e10) != e11
            | op1(e10,e11) != e11 )
          & ( op1(e11,e10) != e12
            | op1(e10,e11) != e12 )
          & ( op1(e11,e10) != e13
            | op1(e10,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e11
      & ( op1(e11,e11) != e11
        | ( ( op1(e11,e11) != e10
            | op1(e11,e11) != e10 )
          & ( op1(e11,e11) != e11
            | op1(e11,e11) != e11 )
          & ( op1(e11,e11) != e12
            | op1(e11,e11) != e12 )
          & ( op1(e11,e11) != e13
            | op1(e11,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e12
      & ( op1(e11,e11) != e12
        | ( ( op1(e11,e12) != e10
            | op1(e12,e11) != e10 )
          & ( op1(e11,e12) != e11
            | op1(e12,e11) != e11 )
          & ( op1(e11,e12) != e12
            | op1(e12,e11) != e12 )
          & ( op1(e11,e12) != e13
            | op1(e12,e11) != e13 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f728]) ).

fof(f774,plain,
    ( pd0_68
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | ( ( op1(e10,e10) != e10
              | op1(e10,e10) != e10 )
            & ( op1(e10,e10) != e11
              | op1(e10,e10) != e11 )
            & ( op1(e10,e10) != e12
              | op1(e10,e10) != e12 )
            & ( op1(e10,e10) != e13
              | op1(e10,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | ( ( op1(e10,e11) != e10
              | op1(e11,e10) != e10 )
            & ( op1(e10,e11) != e11
              | op1(e11,e10) != e11 )
            & ( op1(e10,e11) != e12
              | op1(e11,e10) != e12 )
            & ( op1(e10,e11) != e13
              | op1(e11,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | ( ( op1(e10,e12) != e10
              | op1(e12,e10) != e10 )
            & ( op1(e10,e12) != e11
              | op1(e12,e10) != e11 )
            & ( op1(e10,e12) != e12
              | op1(e12,e10) != e12 )
            & ( op1(e10,e12) != e13
              | op1(e12,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e13
        & ( op1(e10,e10) != e13
          | ( ( op1(e10,e13) != e10
              | op1(e13,e10) != e10 )
            & ( op1(e10,e13) != e11
              | op1(e13,e10) != e11 )
            & ( op1(e10,e13) != e12
              | op1(e13,e10) != e12 )
            & ( op1(e10,e13) != e13
              | op1(e13,e10) != e13 ) ) ) )
      | ( op1(e11,e11) = e10
        & ( op1(e11,e11) != e10
          | ( ( op1(e11,e10) != e10
              | op1(e10,e11) != e10 )
            & ( op1(e11,e10) != e11
              | op1(e10,e11) != e11 )
            & ( op1(e11,e10) != e12
              | op1(e10,e11) != e12 )
            & ( op1(e11,e10) != e13
              | op1(e10,e11) != e13 ) ) ) )
      | ( op1(e11,e11) = e11
        & ( op1(e11,e11) != e11
          | ( ( op1(e11,e11) != e10
              | op1(e11,e11) != e10 )
            & ( op1(e11,e11) != e11
              | op1(e11,e11) != e11 )
            & ( op1(e11,e11) != e12
              | op1(e11,e11) != e12 )
            & ( op1(e11,e11) != e13
              | op1(e11,e11) != e13 ) ) ) ) ) ),
    introduced(predicate_definition,[f773]) ).

fof(f775,plain,
    ( ~ pd0_62
    | pd0_68
    | ( op1(e11,e11) = e12
      & ( op1(e11,e11) != e12
        | ( ( op1(e11,e12) != e10
            | op1(e12,e11) != e10 )
          & ( op1(e11,e12) != e11
            | op1(e12,e11) != e11 )
          & ( op1(e11,e12) != e12
            | op1(e12,e11) != e12 )
          & ( op1(e11,e12) != e13
            | op1(e12,e11) != e13 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f773,f774]) ).

fof(f776,plain,
    ( ~ pd0_62
    | pd0_68
    | op1(e11,e11) = e12 ),
    inference(cnf_transformation,[status(esa)],[f775]) ).

fof(f778,plain,
    ( ~ pd0_62
    | pd0_68
    | op1(e11,e11) != e12
    | op1(e11,e12) != e11
    | op1(e12,e11) != e11 ),
    inference(cnf_transformation,[status(esa)],[f775]) ).

fof(f781,plain,
    ( ~ pd0_63
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e23) = e20
      & op2(e23,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e21,e20) = e21
      & op2(e20,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e21) = e21
      & op2(e21,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e22) = e21
      & op2(e22,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f736]) ).

fof(f782,plain,
    ( pd0_69
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 ) ) ),
    introduced(predicate_definition,[f781]) ).

fof(f783,plain,
    ( ~ pd0_63
    | pd0_69
    | ( op2(e21,e22) = e21
      & op2(e22,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 ) ),
    inference(formula_renaming,[status(thm)],[f781,f782]) ).

fof(f784,plain,
    ( ~ pd0_63
    | pd0_69
    | op2(e21,e22) = e21 ),
    inference(cnf_transformation,[status(esa)],[f783]) ).

fof(f785,plain,
    ( ~ pd0_63
    | pd0_69
    | op2(e22,e21) = e21 ),
    inference(cnf_transformation,[status(esa)],[f783]) ).

fof(f787,plain,
    ( ~ pd0_63
    | pd0_69
    | op2(e21,e21) != e21 ),
    inference(cnf_transformation,[status(esa)],[f783]) ).

fof(f788,plain,
    ( ~ pd0_63
    | pd0_69
    | op2(e22,e21) != e22 ),
    inference(cnf_transformation,[status(esa)],[f783]) ).

fof(f790,plain,
    ( ~ pd0_64
    | ( op2(e20,e20) = op2(e20,e20)
      & op2(e20,e20) != op2(e20,e20)
      & op2(e20,op2(e20,e20)) = e20 )
    | ( op2(e21,e20) = op2(e20,e21)
      & op2(e21,e21) != op2(e20,e21)
      & op2(e21,op2(e20,e21)) = e21 )
    | ( op2(e22,e20) = op2(e20,e22)
      & op2(e22,e22) != op2(e20,e22)
      & op2(e22,op2(e20,e22)) = e22 )
    | ( op2(e23,e20) = op2(e20,e23)
      & op2(e23,e23) != op2(e20,e23)
      & op2(e23,op2(e20,e23)) = e23 )
    | ( op2(e20,e21) = op2(e21,e20)
      & op2(e20,e20) != op2(e21,e20)
      & op2(e20,op2(e21,e20)) = e20 )
    | ( op2(e21,e21) = op2(e21,e21)
      & op2(e21,e21) != op2(e21,e21)
      & op2(e21,op2(e21,e21)) = e21 )
    | ( op2(e22,e21) = op2(e21,e22)
      & op2(e22,e22) != op2(e21,e22)
      & op2(e22,op2(e21,e22)) = e22 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f745]) ).

fof(f791,plain,
    ( pd0_70
   => ( ( op2(e20,e20) = op2(e20,e20)
        & op2(e20,e20) != op2(e20,e20)
        & op2(e20,op2(e20,e20)) = e20 )
      | ( op2(e21,e20) = op2(e20,e21)
        & op2(e21,e21) != op2(e20,e21)
        & op2(e21,op2(e20,e21)) = e21 )
      | ( op2(e22,e20) = op2(e20,e22)
        & op2(e22,e22) != op2(e20,e22)
        & op2(e22,op2(e20,e22)) = e22 )
      | ( op2(e23,e20) = op2(e20,e23)
        & op2(e23,e23) != op2(e20,e23)
        & op2(e23,op2(e20,e23)) = e23 )
      | ( op2(e20,e21) = op2(e21,e20)
        & op2(e20,e20) != op2(e21,e20)
        & op2(e20,op2(e21,e20)) = e20 )
      | ( op2(e21,e21) = op2(e21,e21)
        & op2(e21,e21) != op2(e21,e21)
        & op2(e21,op2(e21,e21)) = e21 ) ) ),
    introduced(predicate_definition,[f790]) ).

fof(f792,plain,
    ( ~ pd0_64
    | pd0_70
    | ( op2(e22,e21) = op2(e21,e22)
      & op2(e22,e22) != op2(e21,e22)
      & op2(e22,op2(e21,e22)) = e22 ) ),
    inference(formula_renaming,[status(thm)],[f790,f791]) ).

fof(f793,plain,
    ( ~ pd0_64
    | pd0_70
    | op2(e22,e21) = op2(e21,e22) ),
    inference(cnf_transformation,[status(esa)],[f792]) ).

fof(f795,plain,
    ( ~ pd0_64
    | pd0_70
    | op2(e22,op2(e21,e22)) = e22 ),
    inference(cnf_transformation,[status(esa)],[f792]) ).

fof(f796,plain,
    ( ~ pd0_65
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | ( ( op2(e20,e20) != e20
            | op2(e20,e20) != e20 )
          & ( op2(e20,e20) != e21
            | op2(e20,e20) != e21 )
          & ( op2(e20,e20) != e22
            | op2(e20,e20) != e22 )
          & ( op2(e20,e20) != e23
            | op2(e20,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | ( ( op2(e20,e21) != e20
            | op2(e21,e20) != e20 )
          & ( op2(e20,e21) != e21
            | op2(e21,e20) != e21 )
          & ( op2(e20,e21) != e22
            | op2(e21,e20) != e22 )
          & ( op2(e20,e21) != e23
            | op2(e21,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | ( ( op2(e20,e22) != e20
            | op2(e22,e20) != e20 )
          & ( op2(e20,e22) != e21
            | op2(e22,e20) != e21 )
          & ( op2(e20,e22) != e22
            | op2(e22,e20) != e22 )
          & ( op2(e20,e22) != e23
            | op2(e22,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e23
      & ( op2(e20,e20) != e23
        | ( ( op2(e20,e23) != e20
            | op2(e23,e20) != e20 )
          & ( op2(e20,e23) != e21
            | op2(e23,e20) != e21 )
          & ( op2(e20,e23) != e22
            | op2(e23,e20) != e22 )
          & ( op2(e20,e23) != e23
            | op2(e23,e20) != e23 ) ) ) )
    | ( op2(e21,e21) = e20
      & ( op2(e21,e21) != e20
        | ( ( op2(e21,e20) != e20
            | op2(e20,e21) != e20 )
          & ( op2(e21,e20) != e21
            | op2(e20,e21) != e21 )
          & ( op2(e21,e20) != e22
            | op2(e20,e21) != e22 )
          & ( op2(e21,e20) != e23
            | op2(e20,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e21
      & ( op2(e21,e21) != e21
        | ( ( op2(e21,e21) != e20
            | op2(e21,e21) != e20 )
          & ( op2(e21,e21) != e21
            | op2(e21,e21) != e21 )
          & ( op2(e21,e21) != e22
            | op2(e21,e21) != e22 )
          & ( op2(e21,e21) != e23
            | op2(e21,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e22
      & ( op2(e21,e21) != e22
        | ( ( op2(e21,e22) != e20
            | op2(e22,e21) != e20 )
          & ( op2(e21,e22) != e21
            | op2(e22,e21) != e21 )
          & ( op2(e21,e22) != e22
            | op2(e22,e21) != e22 )
          & ( op2(e21,e22) != e23
            | op2(e22,e21) != e23 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f751]) ).

fof(f797,plain,
    ( pd0_71
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | ( ( op2(e20,e20) != e20
              | op2(e20,e20) != e20 )
            & ( op2(e20,e20) != e21
              | op2(e20,e20) != e21 )
            & ( op2(e20,e20) != e22
              | op2(e20,e20) != e22 )
            & ( op2(e20,e20) != e23
              | op2(e20,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | ( ( op2(e20,e21) != e20
              | op2(e21,e20) != e20 )
            & ( op2(e20,e21) != e21
              | op2(e21,e20) != e21 )
            & ( op2(e20,e21) != e22
              | op2(e21,e20) != e22 )
            & ( op2(e20,e21) != e23
              | op2(e21,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | ( ( op2(e20,e22) != e20
              | op2(e22,e20) != e20 )
            & ( op2(e20,e22) != e21
              | op2(e22,e20) != e21 )
            & ( op2(e20,e22) != e22
              | op2(e22,e20) != e22 )
            & ( op2(e20,e22) != e23
              | op2(e22,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e23
        & ( op2(e20,e20) != e23
          | ( ( op2(e20,e23) != e20
              | op2(e23,e20) != e20 )
            & ( op2(e20,e23) != e21
              | op2(e23,e20) != e21 )
            & ( op2(e20,e23) != e22
              | op2(e23,e20) != e22 )
            & ( op2(e20,e23) != e23
              | op2(e23,e20) != e23 ) ) ) )
      | ( op2(e21,e21) = e20
        & ( op2(e21,e21) != e20
          | ( ( op2(e21,e20) != e20
              | op2(e20,e21) != e20 )
            & ( op2(e21,e20) != e21
              | op2(e20,e21) != e21 )
            & ( op2(e21,e20) != e22
              | op2(e20,e21) != e22 )
            & ( op2(e21,e20) != e23
              | op2(e20,e21) != e23 ) ) ) )
      | ( op2(e21,e21) = e21
        & ( op2(e21,e21) != e21
          | ( ( op2(e21,e21) != e20
              | op2(e21,e21) != e20 )
            & ( op2(e21,e21) != e21
              | op2(e21,e21) != e21 )
            & ( op2(e21,e21) != e22
              | op2(e21,e21) != e22 )
            & ( op2(e21,e21) != e23
              | op2(e21,e21) != e23 ) ) ) ) ) ),
    introduced(predicate_definition,[f796]) ).

fof(f798,plain,
    ( ~ pd0_65
    | pd0_71
    | ( op2(e21,e21) = e22
      & ( op2(e21,e21) != e22
        | ( ( op2(e21,e22) != e20
            | op2(e22,e21) != e20 )
          & ( op2(e21,e22) != e21
            | op2(e22,e21) != e21 )
          & ( op2(e21,e22) != e22
            | op2(e22,e21) != e22 )
          & ( op2(e21,e22) != e23
            | op2(e22,e21) != e23 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f796,f797]) ).

fof(f799,plain,
    ( ~ pd0_65
    | pd0_71
    | op2(e21,e21) = e22 ),
    inference(cnf_transformation,[status(esa)],[f798]) ).

fof(f800,plain,
    ( ~ pd0_65
    | pd0_71
    | op2(e21,e21) != e22
    | op2(e21,e22) != e20
    | op2(e22,e21) != e20 ),
    inference(cnf_transformation,[status(esa)],[f798]) ).

fof(f801,plain,
    ( ~ pd0_65
    | pd0_71
    | op2(e21,e21) != e22
    | op2(e21,e22) != e21
    | op2(e22,e21) != e21 ),
    inference(cnf_transformation,[status(esa)],[f798]) ).

fof(f804,plain,
    ( ~ pd0_66
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e13) = e10
      & op1(e13,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e11,e10) = e11
      & op1(e10,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 )
    | ( op1(e11,e11) = e11
      & op1(e11,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f759]) ).

fof(f805,plain,
    ( pd0_72
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & op1(e10,e11) != e10
        & op1(e11,e11) != e11
        & op1(e12,e11) != e12
        & op1(e13,e11) != e13 ) ) ),
    introduced(predicate_definition,[f804]) ).

fof(f806,plain,
    ( ~ pd0_66
    | pd0_72
    | ( op1(e11,e11) = e11
      & op1(e11,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 ) ),
    inference(formula_renaming,[status(thm)],[f804,f805]) ).

fof(f807,plain,
    ( ~ pd0_66
    | pd0_72
    | op1(e11,e11) = e11 ),
    inference(cnf_transformation,[status(esa)],[f806]) ).

fof(f810,plain,
    ( ~ pd0_66
    | pd0_72
    | op1(e11,e11) != e11 ),
    inference(cnf_transformation,[status(esa)],[f806]) ).

fof(f811,plain,
    ( ~ pd0_66
    | pd0_72
    | op1(e12,e11) != e12 ),
    inference(cnf_transformation,[status(esa)],[f806]) ).

fof(f813,plain,
    ( ~ pd0_67
    | ( op1(e10,e10) = op1(e10,e10)
      & op1(e10,e10) != op1(e10,e10)
      & op1(e10,op1(e10,e10)) = e10 )
    | ( op1(e11,e10) = op1(e10,e11)
      & op1(e11,e11) != op1(e10,e11)
      & op1(e11,op1(e10,e11)) = e11 )
    | ( op1(e12,e10) = op1(e10,e12)
      & op1(e12,e12) != op1(e10,e12)
      & op1(e12,op1(e10,e12)) = e12 )
    | ( op1(e13,e10) = op1(e10,e13)
      & op1(e13,e13) != op1(e10,e13)
      & op1(e13,op1(e10,e13)) = e13 )
    | ( op1(e10,e11) = op1(e11,e10)
      & op1(e10,e10) != op1(e11,e10)
      & op1(e10,op1(e11,e10)) = e10 )
    | ( op1(e11,e11) = op1(e11,e11)
      & op1(e11,e11) != op1(e11,e11)
      & op1(e11,op1(e11,e11)) = e11 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f768]) ).

fof(f814,plain,
    ( pd0_73
   => ( ( op1(e10,e10) = op1(e10,e10)
        & op1(e10,e10) != op1(e10,e10)
        & op1(e10,op1(e10,e10)) = e10 )
      | ( op1(e11,e10) = op1(e10,e11)
        & op1(e11,e11) != op1(e10,e11)
        & op1(e11,op1(e10,e11)) = e11 )
      | ( op1(e12,e10) = op1(e10,e12)
        & op1(e12,e12) != op1(e10,e12)
        & op1(e12,op1(e10,e12)) = e12 )
      | ( op1(e13,e10) = op1(e10,e13)
        & op1(e13,e13) != op1(e10,e13)
        & op1(e13,op1(e10,e13)) = e13 )
      | ( op1(e10,e11) = op1(e11,e10)
        & op1(e10,e10) != op1(e11,e10)
        & op1(e10,op1(e11,e10)) = e10 ) ) ),
    introduced(predicate_definition,[f813]) ).

fof(f815,plain,
    ( ~ pd0_67
    | pd0_73
    | ( op1(e11,e11) = op1(e11,e11)
      & op1(e11,e11) != op1(e11,e11)
      & op1(e11,op1(e11,e11)) = e11 ) ),
    inference(formula_renaming,[status(thm)],[f813,f814]) ).

fof(f816,plain,
    ( ~ pd0_67
    | pd0_73
    | op1(e11,e11) = op1(e11,e11) ),
    inference(cnf_transformation,[status(esa)],[f815]) ).

fof(f817,plain,
    ( ~ pd0_67
    | pd0_73
    | op1(e11,e11) != op1(e11,e11) ),
    inference(cnf_transformation,[status(esa)],[f815]) ).

fof(f818,plain,
    ( ~ pd0_67
    | pd0_73
    | op1(e11,op1(e11,e11)) = e11 ),
    inference(cnf_transformation,[status(esa)],[f815]) ).

fof(f819,plain,
    ( ~ pd0_68
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | ( ( op1(e10,e10) != e10
            | op1(e10,e10) != e10 )
          & ( op1(e10,e10) != e11
            | op1(e10,e10) != e11 )
          & ( op1(e10,e10) != e12
            | op1(e10,e10) != e12 )
          & ( op1(e10,e10) != e13
            | op1(e10,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | ( ( op1(e10,e11) != e10
            | op1(e11,e10) != e10 )
          & ( op1(e10,e11) != e11
            | op1(e11,e10) != e11 )
          & ( op1(e10,e11) != e12
            | op1(e11,e10) != e12 )
          & ( op1(e10,e11) != e13
            | op1(e11,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | ( ( op1(e10,e12) != e10
            | op1(e12,e10) != e10 )
          & ( op1(e10,e12) != e11
            | op1(e12,e10) != e11 )
          & ( op1(e10,e12) != e12
            | op1(e12,e10) != e12 )
          & ( op1(e10,e12) != e13
            | op1(e12,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e13
      & ( op1(e10,e10) != e13
        | ( ( op1(e10,e13) != e10
            | op1(e13,e10) != e10 )
          & ( op1(e10,e13) != e11
            | op1(e13,e10) != e11 )
          & ( op1(e10,e13) != e12
            | op1(e13,e10) != e12 )
          & ( op1(e10,e13) != e13
            | op1(e13,e10) != e13 ) ) ) )
    | ( op1(e11,e11) = e10
      & ( op1(e11,e11) != e10
        | ( ( op1(e11,e10) != e10
            | op1(e10,e11) != e10 )
          & ( op1(e11,e10) != e11
            | op1(e10,e11) != e11 )
          & ( op1(e11,e10) != e12
            | op1(e10,e11) != e12 )
          & ( op1(e11,e10) != e13
            | op1(e10,e11) != e13 ) ) ) )
    | ( op1(e11,e11) = e11
      & ( op1(e11,e11) != e11
        | ( ( op1(e11,e11) != e10
            | op1(e11,e11) != e10 )
          & ( op1(e11,e11) != e11
            | op1(e11,e11) != e11 )
          & ( op1(e11,e11) != e12
            | op1(e11,e11) != e12 )
          & ( op1(e11,e11) != e13
            | op1(e11,e11) != e13 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f774]) ).

fof(f820,plain,
    ( pd0_74
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | ( ( op1(e10,e10) != e10
              | op1(e10,e10) != e10 )
            & ( op1(e10,e10) != e11
              | op1(e10,e10) != e11 )
            & ( op1(e10,e10) != e12
              | op1(e10,e10) != e12 )
            & ( op1(e10,e10) != e13
              | op1(e10,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | ( ( op1(e10,e11) != e10
              | op1(e11,e10) != e10 )
            & ( op1(e10,e11) != e11
              | op1(e11,e10) != e11 )
            & ( op1(e10,e11) != e12
              | op1(e11,e10) != e12 )
            & ( op1(e10,e11) != e13
              | op1(e11,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | ( ( op1(e10,e12) != e10
              | op1(e12,e10) != e10 )
            & ( op1(e10,e12) != e11
              | op1(e12,e10) != e11 )
            & ( op1(e10,e12) != e12
              | op1(e12,e10) != e12 )
            & ( op1(e10,e12) != e13
              | op1(e12,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e13
        & ( op1(e10,e10) != e13
          | ( ( op1(e10,e13) != e10
              | op1(e13,e10) != e10 )
            & ( op1(e10,e13) != e11
              | op1(e13,e10) != e11 )
            & ( op1(e10,e13) != e12
              | op1(e13,e10) != e12 )
            & ( op1(e10,e13) != e13
              | op1(e13,e10) != e13 ) ) ) )
      | ( op1(e11,e11) = e10
        & ( op1(e11,e11) != e10
          | ( ( op1(e11,e10) != e10
              | op1(e10,e11) != e10 )
            & ( op1(e11,e10) != e11
              | op1(e10,e11) != e11 )
            & ( op1(e11,e10) != e12
              | op1(e10,e11) != e12 )
            & ( op1(e11,e10) != e13
              | op1(e10,e11) != e13 ) ) ) ) ) ),
    introduced(predicate_definition,[f819]) ).

fof(f821,plain,
    ( ~ pd0_68
    | pd0_74
    | ( op1(e11,e11) = e11
      & ( op1(e11,e11) != e11
        | ( ( op1(e11,e11) != e10
            | op1(e11,e11) != e10 )
          & ( op1(e11,e11) != e11
            | op1(e11,e11) != e11 )
          & ( op1(e11,e11) != e12
            | op1(e11,e11) != e12 )
          & ( op1(e11,e11) != e13
            | op1(e11,e11) != e13 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f819,f820]) ).

fof(f822,plain,
    ( ~ pd0_68
    | pd0_74
    | op1(e11,e11) = e11 ),
    inference(cnf_transformation,[status(esa)],[f821]) ).

fof(f824,plain,
    ( ~ pd0_68
    | pd0_74
    | op1(e11,e11) != e11
    | op1(e11,e11) != e11
    | op1(e11,e11) != e11 ),
    inference(cnf_transformation,[status(esa)],[f821]) ).

fof(f827,plain,
    ( ~ pd0_69
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e23) = e20
      & op2(e23,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e21,e20) = e21
      & op2(e20,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 )
    | ( op2(e21,e21) = e21
      & op2(e21,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f782]) ).

fof(f828,plain,
    ( pd0_75
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & op2(e20,e21) != e20
        & op2(e21,e21) != e21
        & op2(e22,e21) != e22
        & op2(e23,e21) != e23 ) ) ),
    introduced(predicate_definition,[f827]) ).

fof(f829,plain,
    ( ~ pd0_69
    | pd0_75
    | ( op2(e21,e21) = e21
      & op2(e21,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 ) ),
    inference(formula_renaming,[status(thm)],[f827,f828]) ).

fof(f830,plain,
    ( ~ pd0_69
    | pd0_75
    | op2(e21,e21) = e21 ),
    inference(cnf_transformation,[status(esa)],[f829]) ).

fof(f833,plain,
    ( ~ pd0_69
    | pd0_75
    | op2(e21,e21) != e21 ),
    inference(cnf_transformation,[status(esa)],[f829]) ).

fof(f834,plain,
    ( ~ pd0_69
    | pd0_75
    | op2(e22,e21) != e22 ),
    inference(cnf_transformation,[status(esa)],[f829]) ).

fof(f836,plain,
    ( ~ pd0_70
    | ( op2(e20,e20) = op2(e20,e20)
      & op2(e20,e20) != op2(e20,e20)
      & op2(e20,op2(e20,e20)) = e20 )
    | ( op2(e21,e20) = op2(e20,e21)
      & op2(e21,e21) != op2(e20,e21)
      & op2(e21,op2(e20,e21)) = e21 )
    | ( op2(e22,e20) = op2(e20,e22)
      & op2(e22,e22) != op2(e20,e22)
      & op2(e22,op2(e20,e22)) = e22 )
    | ( op2(e23,e20) = op2(e20,e23)
      & op2(e23,e23) != op2(e20,e23)
      & op2(e23,op2(e20,e23)) = e23 )
    | ( op2(e20,e21) = op2(e21,e20)
      & op2(e20,e20) != op2(e21,e20)
      & op2(e20,op2(e21,e20)) = e20 )
    | ( op2(e21,e21) = op2(e21,e21)
      & op2(e21,e21) != op2(e21,e21)
      & op2(e21,op2(e21,e21)) = e21 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f791]) ).

fof(f837,plain,
    ( pd0_76
   => ( ( op2(e20,e20) = op2(e20,e20)
        & op2(e20,e20) != op2(e20,e20)
        & op2(e20,op2(e20,e20)) = e20 )
      | ( op2(e21,e20) = op2(e20,e21)
        & op2(e21,e21) != op2(e20,e21)
        & op2(e21,op2(e20,e21)) = e21 )
      | ( op2(e22,e20) = op2(e20,e22)
        & op2(e22,e22) != op2(e20,e22)
        & op2(e22,op2(e20,e22)) = e22 )
      | ( op2(e23,e20) = op2(e20,e23)
        & op2(e23,e23) != op2(e20,e23)
        & op2(e23,op2(e20,e23)) = e23 )
      | ( op2(e20,e21) = op2(e21,e20)
        & op2(e20,e20) != op2(e21,e20)
        & op2(e20,op2(e21,e20)) = e20 ) ) ),
    introduced(predicate_definition,[f836]) ).

fof(f838,plain,
    ( ~ pd0_70
    | pd0_76
    | ( op2(e21,e21) = op2(e21,e21)
      & op2(e21,e21) != op2(e21,e21)
      & op2(e21,op2(e21,e21)) = e21 ) ),
    inference(formula_renaming,[status(thm)],[f836,f837]) ).

fof(f839,plain,
    ( ~ pd0_70
    | pd0_76
    | op2(e21,e21) = op2(e21,e21) ),
    inference(cnf_transformation,[status(esa)],[f838]) ).

fof(f840,plain,
    ( ~ pd0_70
    | pd0_76
    | op2(e21,e21) != op2(e21,e21) ),
    inference(cnf_transformation,[status(esa)],[f838]) ).

fof(f841,plain,
    ( ~ pd0_70
    | pd0_76
    | op2(e21,op2(e21,e21)) = e21 ),
    inference(cnf_transformation,[status(esa)],[f838]) ).

fof(f842,plain,
    ( ~ pd0_71
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | ( ( op2(e20,e20) != e20
            | op2(e20,e20) != e20 )
          & ( op2(e20,e20) != e21
            | op2(e20,e20) != e21 )
          & ( op2(e20,e20) != e22
            | op2(e20,e20) != e22 )
          & ( op2(e20,e20) != e23
            | op2(e20,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | ( ( op2(e20,e21) != e20
            | op2(e21,e20) != e20 )
          & ( op2(e20,e21) != e21
            | op2(e21,e20) != e21 )
          & ( op2(e20,e21) != e22
            | op2(e21,e20) != e22 )
          & ( op2(e20,e21) != e23
            | op2(e21,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | ( ( op2(e20,e22) != e20
            | op2(e22,e20) != e20 )
          & ( op2(e20,e22) != e21
            | op2(e22,e20) != e21 )
          & ( op2(e20,e22) != e22
            | op2(e22,e20) != e22 )
          & ( op2(e20,e22) != e23
            | op2(e22,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e23
      & ( op2(e20,e20) != e23
        | ( ( op2(e20,e23) != e20
            | op2(e23,e20) != e20 )
          & ( op2(e20,e23) != e21
            | op2(e23,e20) != e21 )
          & ( op2(e20,e23) != e22
            | op2(e23,e20) != e22 )
          & ( op2(e20,e23) != e23
            | op2(e23,e20) != e23 ) ) ) )
    | ( op2(e21,e21) = e20
      & ( op2(e21,e21) != e20
        | ( ( op2(e21,e20) != e20
            | op2(e20,e21) != e20 )
          & ( op2(e21,e20) != e21
            | op2(e20,e21) != e21 )
          & ( op2(e21,e20) != e22
            | op2(e20,e21) != e22 )
          & ( op2(e21,e20) != e23
            | op2(e20,e21) != e23 ) ) ) )
    | ( op2(e21,e21) = e21
      & ( op2(e21,e21) != e21
        | ( ( op2(e21,e21) != e20
            | op2(e21,e21) != e20 )
          & ( op2(e21,e21) != e21
            | op2(e21,e21) != e21 )
          & ( op2(e21,e21) != e22
            | op2(e21,e21) != e22 )
          & ( op2(e21,e21) != e23
            | op2(e21,e21) != e23 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f797]) ).

fof(f843,plain,
    ( pd0_77
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | ( ( op2(e20,e20) != e20
              | op2(e20,e20) != e20 )
            & ( op2(e20,e20) != e21
              | op2(e20,e20) != e21 )
            & ( op2(e20,e20) != e22
              | op2(e20,e20) != e22 )
            & ( op2(e20,e20) != e23
              | op2(e20,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | ( ( op2(e20,e21) != e20
              | op2(e21,e20) != e20 )
            & ( op2(e20,e21) != e21
              | op2(e21,e20) != e21 )
            & ( op2(e20,e21) != e22
              | op2(e21,e20) != e22 )
            & ( op2(e20,e21) != e23
              | op2(e21,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | ( ( op2(e20,e22) != e20
              | op2(e22,e20) != e20 )
            & ( op2(e20,e22) != e21
              | op2(e22,e20) != e21 )
            & ( op2(e20,e22) != e22
              | op2(e22,e20) != e22 )
            & ( op2(e20,e22) != e23
              | op2(e22,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e23
        & ( op2(e20,e20) != e23
          | ( ( op2(e20,e23) != e20
              | op2(e23,e20) != e20 )
            & ( op2(e20,e23) != e21
              | op2(e23,e20) != e21 )
            & ( op2(e20,e23) != e22
              | op2(e23,e20) != e22 )
            & ( op2(e20,e23) != e23
              | op2(e23,e20) != e23 ) ) ) )
      | ( op2(e21,e21) = e20
        & ( op2(e21,e21) != e20
          | ( ( op2(e21,e20) != e20
              | op2(e20,e21) != e20 )
            & ( op2(e21,e20) != e21
              | op2(e20,e21) != e21 )
            & ( op2(e21,e20) != e22
              | op2(e20,e21) != e22 )
            & ( op2(e21,e20) != e23
              | op2(e20,e21) != e23 ) ) ) ) ) ),
    introduced(predicate_definition,[f842]) ).

fof(f844,plain,
    ( ~ pd0_71
    | pd0_77
    | ( op2(e21,e21) = e21
      & ( op2(e21,e21) != e21
        | ( ( op2(e21,e21) != e20
            | op2(e21,e21) != e20 )
          & ( op2(e21,e21) != e21
            | op2(e21,e21) != e21 )
          & ( op2(e21,e21) != e22
            | op2(e21,e21) != e22 )
          & ( op2(e21,e21) != e23
            | op2(e21,e21) != e23 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f842,f843]) ).

fof(f845,plain,
    ( ~ pd0_71
    | pd0_77
    | op2(e21,e21) = e21 ),
    inference(cnf_transformation,[status(esa)],[f844]) ).

fof(f847,plain,
    ( ~ pd0_71
    | pd0_77
    | op2(e21,e21) != e21
    | op2(e21,e21) != e21
    | op2(e21,e21) != e21 ),
    inference(cnf_transformation,[status(esa)],[f844]) ).

fof(f850,plain,
    ( ~ pd0_72
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e13) = e10
      & op1(e13,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e11,e10) = e11
      & op1(e10,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f805]) ).

fof(f851,plain,
    ( pd0_78
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 ) ) ),
    introduced(predicate_definition,[f850]) ).

fof(f852,plain,
    ( ~ pd0_72
    | pd0_78
    | ( op1(e11,e10) = e11
      & op1(e10,e11) = e11
      & op1(e10,e11) != e10
      & op1(e11,e11) != e11
      & op1(e12,e11) != e12
      & op1(e13,e11) != e13 ) ),
    inference(formula_renaming,[status(thm)],[f850,f851]) ).

fof(f853,plain,
    ( ~ pd0_72
    | pd0_78
    | op1(e11,e10) = e11 ),
    inference(cnf_transformation,[status(esa)],[f852]) ).

fof(f859,plain,
    ( ~ pd0_73
    | ( op1(e10,e10) = op1(e10,e10)
      & op1(e10,e10) != op1(e10,e10)
      & op1(e10,op1(e10,e10)) = e10 )
    | ( op1(e11,e10) = op1(e10,e11)
      & op1(e11,e11) != op1(e10,e11)
      & op1(e11,op1(e10,e11)) = e11 )
    | ( op1(e12,e10) = op1(e10,e12)
      & op1(e12,e12) != op1(e10,e12)
      & op1(e12,op1(e10,e12)) = e12 )
    | ( op1(e13,e10) = op1(e10,e13)
      & op1(e13,e13) != op1(e10,e13)
      & op1(e13,op1(e10,e13)) = e13 )
    | ( op1(e10,e11) = op1(e11,e10)
      & op1(e10,e10) != op1(e11,e10)
      & op1(e10,op1(e11,e10)) = e10 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f814]) ).

fof(f860,plain,
    ( pd0_79
   => ( ( op1(e10,e10) = op1(e10,e10)
        & op1(e10,e10) != op1(e10,e10)
        & op1(e10,op1(e10,e10)) = e10 )
      | ( op1(e11,e10) = op1(e10,e11)
        & op1(e11,e11) != op1(e10,e11)
        & op1(e11,op1(e10,e11)) = e11 )
      | ( op1(e12,e10) = op1(e10,e12)
        & op1(e12,e12) != op1(e10,e12)
        & op1(e12,op1(e10,e12)) = e12 )
      | ( op1(e13,e10) = op1(e10,e13)
        & op1(e13,e13) != op1(e10,e13)
        & op1(e13,op1(e10,e13)) = e13 ) ) ),
    introduced(predicate_definition,[f859]) ).

fof(f861,plain,
    ( ~ pd0_73
    | pd0_79
    | ( op1(e10,e11) = op1(e11,e10)
      & op1(e10,e10) != op1(e11,e10)
      & op1(e10,op1(e11,e10)) = e10 ) ),
    inference(formula_renaming,[status(thm)],[f859,f860]) ).

fof(f862,plain,
    ( ~ pd0_73
    | pd0_79
    | op1(e10,e11) = op1(e11,e10) ),
    inference(cnf_transformation,[status(esa)],[f861]) ).

fof(f864,plain,
    ( ~ pd0_73
    | pd0_79
    | op1(e10,op1(e11,e10)) = e10 ),
    inference(cnf_transformation,[status(esa)],[f861]) ).

fof(f865,plain,
    ( ~ pd0_74
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | ( ( op1(e10,e10) != e10
            | op1(e10,e10) != e10 )
          & ( op1(e10,e10) != e11
            | op1(e10,e10) != e11 )
          & ( op1(e10,e10) != e12
            | op1(e10,e10) != e12 )
          & ( op1(e10,e10) != e13
            | op1(e10,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | ( ( op1(e10,e11) != e10
            | op1(e11,e10) != e10 )
          & ( op1(e10,e11) != e11
            | op1(e11,e10) != e11 )
          & ( op1(e10,e11) != e12
            | op1(e11,e10) != e12 )
          & ( op1(e10,e11) != e13
            | op1(e11,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | ( ( op1(e10,e12) != e10
            | op1(e12,e10) != e10 )
          & ( op1(e10,e12) != e11
            | op1(e12,e10) != e11 )
          & ( op1(e10,e12) != e12
            | op1(e12,e10) != e12 )
          & ( op1(e10,e12) != e13
            | op1(e12,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e13
      & ( op1(e10,e10) != e13
        | ( ( op1(e10,e13) != e10
            | op1(e13,e10) != e10 )
          & ( op1(e10,e13) != e11
            | op1(e13,e10) != e11 )
          & ( op1(e10,e13) != e12
            | op1(e13,e10) != e12 )
          & ( op1(e10,e13) != e13
            | op1(e13,e10) != e13 ) ) ) )
    | ( op1(e11,e11) = e10
      & ( op1(e11,e11) != e10
        | ( ( op1(e11,e10) != e10
            | op1(e10,e11) != e10 )
          & ( op1(e11,e10) != e11
            | op1(e10,e11) != e11 )
          & ( op1(e11,e10) != e12
            | op1(e10,e11) != e12 )
          & ( op1(e11,e10) != e13
            | op1(e10,e11) != e13 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f820]) ).

fof(f866,plain,
    ( pd0_80
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | ( ( op1(e10,e10) != e10
              | op1(e10,e10) != e10 )
            & ( op1(e10,e10) != e11
              | op1(e10,e10) != e11 )
            & ( op1(e10,e10) != e12
              | op1(e10,e10) != e12 )
            & ( op1(e10,e10) != e13
              | op1(e10,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | ( ( op1(e10,e11) != e10
              | op1(e11,e10) != e10 )
            & ( op1(e10,e11) != e11
              | op1(e11,e10) != e11 )
            & ( op1(e10,e11) != e12
              | op1(e11,e10) != e12 )
            & ( op1(e10,e11) != e13
              | op1(e11,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | ( ( op1(e10,e12) != e10
              | op1(e12,e10) != e10 )
            & ( op1(e10,e12) != e11
              | op1(e12,e10) != e11 )
            & ( op1(e10,e12) != e12
              | op1(e12,e10) != e12 )
            & ( op1(e10,e12) != e13
              | op1(e12,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e13
        & ( op1(e10,e10) != e13
          | ( ( op1(e10,e13) != e10
              | op1(e13,e10) != e10 )
            & ( op1(e10,e13) != e11
              | op1(e13,e10) != e11 )
            & ( op1(e10,e13) != e12
              | op1(e13,e10) != e12 )
            & ( op1(e10,e13) != e13
              | op1(e13,e10) != e13 ) ) ) ) ) ),
    introduced(predicate_definition,[f865]) ).

fof(f867,plain,
    ( ~ pd0_74
    | pd0_80
    | ( op1(e11,e11) = e10
      & ( op1(e11,e11) != e10
        | ( ( op1(e11,e10) != e10
            | op1(e10,e11) != e10 )
          & ( op1(e11,e10) != e11
            | op1(e10,e11) != e11 )
          & ( op1(e11,e10) != e12
            | op1(e10,e11) != e12 )
          & ( op1(e11,e10) != e13
            | op1(e10,e11) != e13 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f865,f866]) ).

fof(f868,plain,
    ( ~ pd0_74
    | pd0_80
    | op1(e11,e11) = e10 ),
    inference(cnf_transformation,[status(esa)],[f867]) ).

fof(f872,plain,
    ( ~ pd0_74
    | pd0_80
    | op1(e11,e11) != e10
    | op1(e11,e10) != e13
    | op1(e10,e11) != e13 ),
    inference(cnf_transformation,[status(esa)],[f867]) ).

fof(f873,plain,
    ( ~ pd0_75
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e23) = e20
      & op2(e23,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e21,e20) = e21
      & op2(e20,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f828]) ).

fof(f874,plain,
    ( pd0_81
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 ) ) ),
    introduced(predicate_definition,[f873]) ).

fof(f875,plain,
    ( ~ pd0_75
    | pd0_81
    | ( op2(e21,e20) = e21
      & op2(e20,e21) = e21
      & op2(e20,e21) != e20
      & op2(e21,e21) != e21
      & op2(e22,e21) != e22
      & op2(e23,e21) != e23 ) ),
    inference(formula_renaming,[status(thm)],[f873,f874]) ).

fof(f876,plain,
    ( ~ pd0_75
    | pd0_81
    | op2(e21,e20) = e21 ),
    inference(cnf_transformation,[status(esa)],[f875]) ).

fof(f882,plain,
    ( ~ pd0_76
    | ( op2(e20,e20) = op2(e20,e20)
      & op2(e20,e20) != op2(e20,e20)
      & op2(e20,op2(e20,e20)) = e20 )
    | ( op2(e21,e20) = op2(e20,e21)
      & op2(e21,e21) != op2(e20,e21)
      & op2(e21,op2(e20,e21)) = e21 )
    | ( op2(e22,e20) = op2(e20,e22)
      & op2(e22,e22) != op2(e20,e22)
      & op2(e22,op2(e20,e22)) = e22 )
    | ( op2(e23,e20) = op2(e20,e23)
      & op2(e23,e23) != op2(e20,e23)
      & op2(e23,op2(e20,e23)) = e23 )
    | ( op2(e20,e21) = op2(e21,e20)
      & op2(e20,e20) != op2(e21,e20)
      & op2(e20,op2(e21,e20)) = e20 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f837]) ).

fof(f883,plain,
    ( pd0_82
   => ( ( op2(e20,e20) = op2(e20,e20)
        & op2(e20,e20) != op2(e20,e20)
        & op2(e20,op2(e20,e20)) = e20 )
      | ( op2(e21,e20) = op2(e20,e21)
        & op2(e21,e21) != op2(e20,e21)
        & op2(e21,op2(e20,e21)) = e21 )
      | ( op2(e22,e20) = op2(e20,e22)
        & op2(e22,e22) != op2(e20,e22)
        & op2(e22,op2(e20,e22)) = e22 )
      | ( op2(e23,e20) = op2(e20,e23)
        & op2(e23,e23) != op2(e20,e23)
        & op2(e23,op2(e20,e23)) = e23 ) ) ),
    introduced(predicate_definition,[f882]) ).

fof(f884,plain,
    ( ~ pd0_76
    | pd0_82
    | ( op2(e20,e21) = op2(e21,e20)
      & op2(e20,e20) != op2(e21,e20)
      & op2(e20,op2(e21,e20)) = e20 ) ),
    inference(formula_renaming,[status(thm)],[f882,f883]) ).

fof(f885,plain,
    ( ~ pd0_76
    | pd0_82
    | op2(e20,e21) = op2(e21,e20) ),
    inference(cnf_transformation,[status(esa)],[f884]) ).

fof(f887,plain,
    ( ~ pd0_76
    | pd0_82
    | op2(e20,op2(e21,e20)) = e20 ),
    inference(cnf_transformation,[status(esa)],[f884]) ).

fof(f888,plain,
    ( ~ pd0_77
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | ( ( op2(e20,e20) != e20
            | op2(e20,e20) != e20 )
          & ( op2(e20,e20) != e21
            | op2(e20,e20) != e21 )
          & ( op2(e20,e20) != e22
            | op2(e20,e20) != e22 )
          & ( op2(e20,e20) != e23
            | op2(e20,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | ( ( op2(e20,e21) != e20
            | op2(e21,e20) != e20 )
          & ( op2(e20,e21) != e21
            | op2(e21,e20) != e21 )
          & ( op2(e20,e21) != e22
            | op2(e21,e20) != e22 )
          & ( op2(e20,e21) != e23
            | op2(e21,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | ( ( op2(e20,e22) != e20
            | op2(e22,e20) != e20 )
          & ( op2(e20,e22) != e21
            | op2(e22,e20) != e21 )
          & ( op2(e20,e22) != e22
            | op2(e22,e20) != e22 )
          & ( op2(e20,e22) != e23
            | op2(e22,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e23
      & ( op2(e20,e20) != e23
        | ( ( op2(e20,e23) != e20
            | op2(e23,e20) != e20 )
          & ( op2(e20,e23) != e21
            | op2(e23,e20) != e21 )
          & ( op2(e20,e23) != e22
            | op2(e23,e20) != e22 )
          & ( op2(e20,e23) != e23
            | op2(e23,e20) != e23 ) ) ) )
    | ( op2(e21,e21) = e20
      & ( op2(e21,e21) != e20
        | ( ( op2(e21,e20) != e20
            | op2(e20,e21) != e20 )
          & ( op2(e21,e20) != e21
            | op2(e20,e21) != e21 )
          & ( op2(e21,e20) != e22
            | op2(e20,e21) != e22 )
          & ( op2(e21,e20) != e23
            | op2(e20,e21) != e23 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f843]) ).

fof(f889,plain,
    ( pd0_83
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | ( ( op2(e20,e20) != e20
              | op2(e20,e20) != e20 )
            & ( op2(e20,e20) != e21
              | op2(e20,e20) != e21 )
            & ( op2(e20,e20) != e22
              | op2(e20,e20) != e22 )
            & ( op2(e20,e20) != e23
              | op2(e20,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | ( ( op2(e20,e21) != e20
              | op2(e21,e20) != e20 )
            & ( op2(e20,e21) != e21
              | op2(e21,e20) != e21 )
            & ( op2(e20,e21) != e22
              | op2(e21,e20) != e22 )
            & ( op2(e20,e21) != e23
              | op2(e21,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | ( ( op2(e20,e22) != e20
              | op2(e22,e20) != e20 )
            & ( op2(e20,e22) != e21
              | op2(e22,e20) != e21 )
            & ( op2(e20,e22) != e22
              | op2(e22,e20) != e22 )
            & ( op2(e20,e22) != e23
              | op2(e22,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e23
        & ( op2(e20,e20) != e23
          | ( ( op2(e20,e23) != e20
              | op2(e23,e20) != e20 )
            & ( op2(e20,e23) != e21
              | op2(e23,e20) != e21 )
            & ( op2(e20,e23) != e22
              | op2(e23,e20) != e22 )
            & ( op2(e20,e23) != e23
              | op2(e23,e20) != e23 ) ) ) ) ) ),
    introduced(predicate_definition,[f888]) ).

fof(f890,plain,
    ( ~ pd0_77
    | pd0_83
    | ( op2(e21,e21) = e20
      & ( op2(e21,e21) != e20
        | ( ( op2(e21,e20) != e20
            | op2(e20,e21) != e20 )
          & ( op2(e21,e20) != e21
            | op2(e20,e21) != e21 )
          & ( op2(e21,e20) != e22
            | op2(e20,e21) != e22 )
          & ( op2(e21,e20) != e23
            | op2(e20,e21) != e23 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f888,f889]) ).

fof(f891,plain,
    ( ~ pd0_77
    | pd0_83
    | op2(e21,e21) = e20 ),
    inference(cnf_transformation,[status(esa)],[f890]) ).

fof(f895,plain,
    ( ~ pd0_77
    | pd0_83
    | op2(e21,e21) != e20
    | op2(e21,e20) != e23
    | op2(e20,e21) != e23 ),
    inference(cnf_transformation,[status(esa)],[f890]) ).

fof(f896,plain,
    ( ~ pd0_78
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e13) = e10
      & op1(e13,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f851]) ).

fof(f897,plain,
    ( pd0_84
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 ) ) ),
    introduced(predicate_definition,[f896]) ).

fof(f898,plain,
    ( ~ pd0_78
    | pd0_84
    | ( op1(e10,e13) = e10
      & op1(e13,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 ) ),
    inference(formula_renaming,[status(thm)],[f896,f897]) ).

fof(f899,plain,
    ( ~ pd0_78
    | pd0_84
    | op1(e10,e13) = e10 ),
    inference(cnf_transformation,[status(esa)],[f898]) ).

fof(f900,plain,
    ( ~ pd0_78
    | pd0_84
    | op1(e13,e10) = e10 ),
    inference(cnf_transformation,[status(esa)],[f898]) ).

fof(f905,plain,
    ( ~ pd0_79
    | ( op1(e10,e10) = op1(e10,e10)
      & op1(e10,e10) != op1(e10,e10)
      & op1(e10,op1(e10,e10)) = e10 )
    | ( op1(e11,e10) = op1(e10,e11)
      & op1(e11,e11) != op1(e10,e11)
      & op1(e11,op1(e10,e11)) = e11 )
    | ( op1(e12,e10) = op1(e10,e12)
      & op1(e12,e12) != op1(e10,e12)
      & op1(e12,op1(e10,e12)) = e12 )
    | ( op1(e13,e10) = op1(e10,e13)
      & op1(e13,e13) != op1(e10,e13)
      & op1(e13,op1(e10,e13)) = e13 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f860]) ).

fof(f906,plain,
    ( pd0_85
   => ( ( op1(e10,e10) = op1(e10,e10)
        & op1(e10,e10) != op1(e10,e10)
        & op1(e10,op1(e10,e10)) = e10 )
      | ( op1(e11,e10) = op1(e10,e11)
        & op1(e11,e11) != op1(e10,e11)
        & op1(e11,op1(e10,e11)) = e11 )
      | ( op1(e12,e10) = op1(e10,e12)
        & op1(e12,e12) != op1(e10,e12)
        & op1(e12,op1(e10,e12)) = e12 ) ) ),
    introduced(predicate_definition,[f905]) ).

fof(f907,plain,
    ( ~ pd0_79
    | pd0_85
    | ( op1(e13,e10) = op1(e10,e13)
      & op1(e13,e13) != op1(e10,e13)
      & op1(e13,op1(e10,e13)) = e13 ) ),
    inference(formula_renaming,[status(thm)],[f905,f906]) ).

fof(f908,plain,
    ( ~ pd0_79
    | pd0_85
    | op1(e13,e10) = op1(e10,e13) ),
    inference(cnf_transformation,[status(esa)],[f907]) ).

fof(f909,plain,
    ( ~ pd0_79
    | pd0_85
    | op1(e13,e13) != op1(e10,e13) ),
    inference(cnf_transformation,[status(esa)],[f907]) ).

fof(f910,plain,
    ( ~ pd0_79
    | pd0_85
    | op1(e13,op1(e10,e13)) = e13 ),
    inference(cnf_transformation,[status(esa)],[f907]) ).

fof(f911,plain,
    ( ~ pd0_80
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | ( ( op1(e10,e10) != e10
            | op1(e10,e10) != e10 )
          & ( op1(e10,e10) != e11
            | op1(e10,e10) != e11 )
          & ( op1(e10,e10) != e12
            | op1(e10,e10) != e12 )
          & ( op1(e10,e10) != e13
            | op1(e10,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | ( ( op1(e10,e11) != e10
            | op1(e11,e10) != e10 )
          & ( op1(e10,e11) != e11
            | op1(e11,e10) != e11 )
          & ( op1(e10,e11) != e12
            | op1(e11,e10) != e12 )
          & ( op1(e10,e11) != e13
            | op1(e11,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | ( ( op1(e10,e12) != e10
            | op1(e12,e10) != e10 )
          & ( op1(e10,e12) != e11
            | op1(e12,e10) != e11 )
          & ( op1(e10,e12) != e12
            | op1(e12,e10) != e12 )
          & ( op1(e10,e12) != e13
            | op1(e12,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e13
      & ( op1(e10,e10) != e13
        | ( ( op1(e10,e13) != e10
            | op1(e13,e10) != e10 )
          & ( op1(e10,e13) != e11
            | op1(e13,e10) != e11 )
          & ( op1(e10,e13) != e12
            | op1(e13,e10) != e12 )
          & ( op1(e10,e13) != e13
            | op1(e13,e10) != e13 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f866]) ).

fof(f912,plain,
    ( pd0_86
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | ( ( op1(e10,e10) != e10
              | op1(e10,e10) != e10 )
            & ( op1(e10,e10) != e11
              | op1(e10,e10) != e11 )
            & ( op1(e10,e10) != e12
              | op1(e10,e10) != e12 )
            & ( op1(e10,e10) != e13
              | op1(e10,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | ( ( op1(e10,e11) != e10
              | op1(e11,e10) != e10 )
            & ( op1(e10,e11) != e11
              | op1(e11,e10) != e11 )
            & ( op1(e10,e11) != e12
              | op1(e11,e10) != e12 )
            & ( op1(e10,e11) != e13
              | op1(e11,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | ( ( op1(e10,e12) != e10
              | op1(e12,e10) != e10 )
            & ( op1(e10,e12) != e11
              | op1(e12,e10) != e11 )
            & ( op1(e10,e12) != e12
              | op1(e12,e10) != e12 )
            & ( op1(e10,e12) != e13
              | op1(e12,e10) != e13 ) ) ) ) ) ),
    introduced(predicate_definition,[f911]) ).

fof(f913,plain,
    ( ~ pd0_80
    | pd0_86
    | ( op1(e10,e10) = e13
      & ( op1(e10,e10) != e13
        | ( ( op1(e10,e13) != e10
            | op1(e13,e10) != e10 )
          & ( op1(e10,e13) != e11
            | op1(e13,e10) != e11 )
          & ( op1(e10,e13) != e12
            | op1(e13,e10) != e12 )
          & ( op1(e10,e13) != e13
            | op1(e13,e10) != e13 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f911,f912]) ).

fof(f914,plain,
    ( ~ pd0_80
    | pd0_86
    | op1(e10,e10) = e13 ),
    inference(cnf_transformation,[status(esa)],[f913]) ).

fof(f919,plain,
    ( ~ pd0_81
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e23) = e20
      & op2(e23,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f874]) ).

fof(f920,plain,
    ( pd0_87
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 ) ) ),
    introduced(predicate_definition,[f919]) ).

fof(f921,plain,
    ( ~ pd0_81
    | pd0_87
    | ( op2(e20,e23) = e20
      & op2(e23,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 ) ),
    inference(formula_renaming,[status(thm)],[f919,f920]) ).

fof(f922,plain,
    ( ~ pd0_81
    | pd0_87
    | op2(e20,e23) = e20 ),
    inference(cnf_transformation,[status(esa)],[f921]) ).

fof(f923,plain,
    ( ~ pd0_81
    | pd0_87
    | op2(e23,e20) = e20 ),
    inference(cnf_transformation,[status(esa)],[f921]) ).

fof(f928,plain,
    ( ~ pd0_82
    | ( op2(e20,e20) = op2(e20,e20)
      & op2(e20,e20) != op2(e20,e20)
      & op2(e20,op2(e20,e20)) = e20 )
    | ( op2(e21,e20) = op2(e20,e21)
      & op2(e21,e21) != op2(e20,e21)
      & op2(e21,op2(e20,e21)) = e21 )
    | ( op2(e22,e20) = op2(e20,e22)
      & op2(e22,e22) != op2(e20,e22)
      & op2(e22,op2(e20,e22)) = e22 )
    | ( op2(e23,e20) = op2(e20,e23)
      & op2(e23,e23) != op2(e20,e23)
      & op2(e23,op2(e20,e23)) = e23 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f883]) ).

fof(f929,plain,
    ( pd0_88
   => ( ( op2(e20,e20) = op2(e20,e20)
        & op2(e20,e20) != op2(e20,e20)
        & op2(e20,op2(e20,e20)) = e20 )
      | ( op2(e21,e20) = op2(e20,e21)
        & op2(e21,e21) != op2(e20,e21)
        & op2(e21,op2(e20,e21)) = e21 )
      | ( op2(e22,e20) = op2(e20,e22)
        & op2(e22,e22) != op2(e20,e22)
        & op2(e22,op2(e20,e22)) = e22 ) ) ),
    introduced(predicate_definition,[f928]) ).

fof(f930,plain,
    ( ~ pd0_82
    | pd0_88
    | ( op2(e23,e20) = op2(e20,e23)
      & op2(e23,e23) != op2(e20,e23)
      & op2(e23,op2(e20,e23)) = e23 ) ),
    inference(formula_renaming,[status(thm)],[f928,f929]) ).

fof(f931,plain,
    ( ~ pd0_82
    | pd0_88
    | op2(e23,e20) = op2(e20,e23) ),
    inference(cnf_transformation,[status(esa)],[f930]) ).

fof(f933,plain,
    ( ~ pd0_82
    | pd0_88
    | op2(e23,op2(e20,e23)) = e23 ),
    inference(cnf_transformation,[status(esa)],[f930]) ).

fof(f934,plain,
    ( ~ pd0_83
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | ( ( op2(e20,e20) != e20
            | op2(e20,e20) != e20 )
          & ( op2(e20,e20) != e21
            | op2(e20,e20) != e21 )
          & ( op2(e20,e20) != e22
            | op2(e20,e20) != e22 )
          & ( op2(e20,e20) != e23
            | op2(e20,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | ( ( op2(e20,e21) != e20
            | op2(e21,e20) != e20 )
          & ( op2(e20,e21) != e21
            | op2(e21,e20) != e21 )
          & ( op2(e20,e21) != e22
            | op2(e21,e20) != e22 )
          & ( op2(e20,e21) != e23
            | op2(e21,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | ( ( op2(e20,e22) != e20
            | op2(e22,e20) != e20 )
          & ( op2(e20,e22) != e21
            | op2(e22,e20) != e21 )
          & ( op2(e20,e22) != e22
            | op2(e22,e20) != e22 )
          & ( op2(e20,e22) != e23
            | op2(e22,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e23
      & ( op2(e20,e20) != e23
        | ( ( op2(e20,e23) != e20
            | op2(e23,e20) != e20 )
          & ( op2(e20,e23) != e21
            | op2(e23,e20) != e21 )
          & ( op2(e20,e23) != e22
            | op2(e23,e20) != e22 )
          & ( op2(e20,e23) != e23
            | op2(e23,e20) != e23 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f889]) ).

fof(f935,plain,
    ( pd0_89
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | ( ( op2(e20,e20) != e20
              | op2(e20,e20) != e20 )
            & ( op2(e20,e20) != e21
              | op2(e20,e20) != e21 )
            & ( op2(e20,e20) != e22
              | op2(e20,e20) != e22 )
            & ( op2(e20,e20) != e23
              | op2(e20,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | ( ( op2(e20,e21) != e20
              | op2(e21,e20) != e20 )
            & ( op2(e20,e21) != e21
              | op2(e21,e20) != e21 )
            & ( op2(e20,e21) != e22
              | op2(e21,e20) != e22 )
            & ( op2(e20,e21) != e23
              | op2(e21,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | ( ( op2(e20,e22) != e20
              | op2(e22,e20) != e20 )
            & ( op2(e20,e22) != e21
              | op2(e22,e20) != e21 )
            & ( op2(e20,e22) != e22
              | op2(e22,e20) != e22 )
            & ( op2(e20,e22) != e23
              | op2(e22,e20) != e23 ) ) ) ) ) ),
    introduced(predicate_definition,[f934]) ).

fof(f936,plain,
    ( ~ pd0_83
    | pd0_89
    | ( op2(e20,e20) = e23
      & ( op2(e20,e20) != e23
        | ( ( op2(e20,e23) != e20
            | op2(e23,e20) != e20 )
          & ( op2(e20,e23) != e21
            | op2(e23,e20) != e21 )
          & ( op2(e20,e23) != e22
            | op2(e23,e20) != e22 )
          & ( op2(e20,e23) != e23
            | op2(e23,e20) != e23 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f934,f935]) ).

fof(f937,plain,
    ( ~ pd0_83
    | pd0_89
    | op2(e20,e20) = e23 ),
    inference(cnf_transformation,[status(esa)],[f936]) ).

fof(f942,plain,
    ( ~ pd0_84
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f897]) ).

fof(f943,plain,
    ( pd0_90
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & op1(e10,e10) != e10
        & op1(e11,e10) != e11
        & op1(e12,e10) != e12
        & op1(e13,e10) != e13 ) ) ),
    introduced(predicate_definition,[f942]) ).

fof(f944,plain,
    ( ~ pd0_84
    | pd0_90
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 ) ),
    inference(formula_renaming,[status(thm)],[f942,f943]) ).

fof(f945,plain,
    ( ~ pd0_84
    | pd0_90
    | op1(e10,e12) = e10 ),
    inference(cnf_transformation,[status(esa)],[f944]) ).

fof(f946,plain,
    ( ~ pd0_84
    | pd0_90
    | op1(e12,e10) = e10 ),
    inference(cnf_transformation,[status(esa)],[f944]) ).

fof(f951,plain,
    ( ~ pd0_85
    | ( op1(e10,e10) = op1(e10,e10)
      & op1(e10,e10) != op1(e10,e10)
      & op1(e10,op1(e10,e10)) = e10 )
    | ( op1(e11,e10) = op1(e10,e11)
      & op1(e11,e11) != op1(e10,e11)
      & op1(e11,op1(e10,e11)) = e11 )
    | ( op1(e12,e10) = op1(e10,e12)
      & op1(e12,e12) != op1(e10,e12)
      & op1(e12,op1(e10,e12)) = e12 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f906]) ).

fof(f952,plain,
    ( pd0_91
   => ( ( op1(e10,e10) = op1(e10,e10)
        & op1(e10,e10) != op1(e10,e10)
        & op1(e10,op1(e10,e10)) = e10 )
      | ( op1(e11,e10) = op1(e10,e11)
        & op1(e11,e11) != op1(e10,e11)
        & op1(e11,op1(e10,e11)) = e11 ) ) ),
    introduced(predicate_definition,[f951]) ).

fof(f953,plain,
    ( ~ pd0_85
    | pd0_91
    | ( op1(e12,e10) = op1(e10,e12)
      & op1(e12,e12) != op1(e10,e12)
      & op1(e12,op1(e10,e12)) = e12 ) ),
    inference(formula_renaming,[status(thm)],[f951,f952]) ).

fof(f954,plain,
    ( ~ pd0_85
    | pd0_91
    | op1(e12,e10) = op1(e10,e12) ),
    inference(cnf_transformation,[status(esa)],[f953]) ).

fof(f956,plain,
    ( ~ pd0_85
    | pd0_91
    | op1(e12,op1(e10,e12)) = e12 ),
    inference(cnf_transformation,[status(esa)],[f953]) ).

fof(f957,plain,
    ( ~ pd0_86
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | ( ( op1(e10,e10) != e10
            | op1(e10,e10) != e10 )
          & ( op1(e10,e10) != e11
            | op1(e10,e10) != e11 )
          & ( op1(e10,e10) != e12
            | op1(e10,e10) != e12 )
          & ( op1(e10,e10) != e13
            | op1(e10,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | ( ( op1(e10,e11) != e10
            | op1(e11,e10) != e10 )
          & ( op1(e10,e11) != e11
            | op1(e11,e10) != e11 )
          & ( op1(e10,e11) != e12
            | op1(e11,e10) != e12 )
          & ( op1(e10,e11) != e13
            | op1(e11,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | ( ( op1(e10,e12) != e10
            | op1(e12,e10) != e10 )
          & ( op1(e10,e12) != e11
            | op1(e12,e10) != e11 )
          & ( op1(e10,e12) != e12
            | op1(e12,e10) != e12 )
          & ( op1(e10,e12) != e13
            | op1(e12,e10) != e13 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f912]) ).

fof(f958,plain,
    ( pd0_92
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | ( ( op1(e10,e10) != e10
              | op1(e10,e10) != e10 )
            & ( op1(e10,e10) != e11
              | op1(e10,e10) != e11 )
            & ( op1(e10,e10) != e12
              | op1(e10,e10) != e12 )
            & ( op1(e10,e10) != e13
              | op1(e10,e10) != e13 ) ) ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | ( ( op1(e10,e11) != e10
              | op1(e11,e10) != e10 )
            & ( op1(e10,e11) != e11
              | op1(e11,e10) != e11 )
            & ( op1(e10,e11) != e12
              | op1(e11,e10) != e12 )
            & ( op1(e10,e11) != e13
              | op1(e11,e10) != e13 ) ) ) ) ) ),
    introduced(predicate_definition,[f957]) ).

fof(f959,plain,
    ( ~ pd0_86
    | pd0_92
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | ( ( op1(e10,e12) != e10
            | op1(e12,e10) != e10 )
          & ( op1(e10,e12) != e11
            | op1(e12,e10) != e11 )
          & ( op1(e10,e12) != e12
            | op1(e12,e10) != e12 )
          & ( op1(e10,e12) != e13
            | op1(e12,e10) != e13 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f957,f958]) ).

fof(f960,plain,
    ( ~ pd0_86
    | pd0_92
    | op1(e10,e10) = e12 ),
    inference(cnf_transformation,[status(esa)],[f959]) ).

fof(f965,plain,
    ( ~ pd0_87
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f920]) ).

fof(f966,plain,
    ( pd0_93
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & op2(e20,e20) != e20
        & op2(e21,e20) != e21
        & op2(e22,e20) != e22
        & op2(e23,e20) != e23 ) ) ),
    introduced(predicate_definition,[f965]) ).

fof(f967,plain,
    ( ~ pd0_87
    | pd0_93
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 ) ),
    inference(formula_renaming,[status(thm)],[f965,f966]) ).

fof(f968,plain,
    ( ~ pd0_87
    | pd0_93
    | op2(e20,e22) = e20 ),
    inference(cnf_transformation,[status(esa)],[f967]) ).

fof(f969,plain,
    ( ~ pd0_87
    | pd0_93
    | op2(e22,e20) = e20 ),
    inference(cnf_transformation,[status(esa)],[f967]) ).

fof(f974,plain,
    ( ~ pd0_88
    | ( op2(e20,e20) = op2(e20,e20)
      & op2(e20,e20) != op2(e20,e20)
      & op2(e20,op2(e20,e20)) = e20 )
    | ( op2(e21,e20) = op2(e20,e21)
      & op2(e21,e21) != op2(e20,e21)
      & op2(e21,op2(e20,e21)) = e21 )
    | ( op2(e22,e20) = op2(e20,e22)
      & op2(e22,e22) != op2(e20,e22)
      & op2(e22,op2(e20,e22)) = e22 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f929]) ).

fof(f975,plain,
    ( pd0_94
   => ( ( op2(e20,e20) = op2(e20,e20)
        & op2(e20,e20) != op2(e20,e20)
        & op2(e20,op2(e20,e20)) = e20 )
      | ( op2(e21,e20) = op2(e20,e21)
        & op2(e21,e21) != op2(e20,e21)
        & op2(e21,op2(e20,e21)) = e21 ) ) ),
    introduced(predicate_definition,[f974]) ).

fof(f976,plain,
    ( ~ pd0_88
    | pd0_94
    | ( op2(e22,e20) = op2(e20,e22)
      & op2(e22,e22) != op2(e20,e22)
      & op2(e22,op2(e20,e22)) = e22 ) ),
    inference(formula_renaming,[status(thm)],[f974,f975]) ).

fof(f977,plain,
    ( ~ pd0_88
    | pd0_94
    | op2(e22,e20) = op2(e20,e22) ),
    inference(cnf_transformation,[status(esa)],[f976]) ).

fof(f979,plain,
    ( ~ pd0_88
    | pd0_94
    | op2(e22,op2(e20,e22)) = e22 ),
    inference(cnf_transformation,[status(esa)],[f976]) ).

fof(f980,plain,
    ( ~ pd0_89
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | ( ( op2(e20,e20) != e20
            | op2(e20,e20) != e20 )
          & ( op2(e20,e20) != e21
            | op2(e20,e20) != e21 )
          & ( op2(e20,e20) != e22
            | op2(e20,e20) != e22 )
          & ( op2(e20,e20) != e23
            | op2(e20,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | ( ( op2(e20,e21) != e20
            | op2(e21,e20) != e20 )
          & ( op2(e20,e21) != e21
            | op2(e21,e20) != e21 )
          & ( op2(e20,e21) != e22
            | op2(e21,e20) != e22 )
          & ( op2(e20,e21) != e23
            | op2(e21,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | ( ( op2(e20,e22) != e20
            | op2(e22,e20) != e20 )
          & ( op2(e20,e22) != e21
            | op2(e22,e20) != e21 )
          & ( op2(e20,e22) != e22
            | op2(e22,e20) != e22 )
          & ( op2(e20,e22) != e23
            | op2(e22,e20) != e23 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f935]) ).

fof(f981,plain,
    ( pd0_95
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | ( ( op2(e20,e20) != e20
              | op2(e20,e20) != e20 )
            & ( op2(e20,e20) != e21
              | op2(e20,e20) != e21 )
            & ( op2(e20,e20) != e22
              | op2(e20,e20) != e22 )
            & ( op2(e20,e20) != e23
              | op2(e20,e20) != e23 ) ) ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | ( ( op2(e20,e21) != e20
              | op2(e21,e20) != e20 )
            & ( op2(e20,e21) != e21
              | op2(e21,e20) != e21 )
            & ( op2(e20,e21) != e22
              | op2(e21,e20) != e22 )
            & ( op2(e20,e21) != e23
              | op2(e21,e20) != e23 ) ) ) ) ) ),
    introduced(predicate_definition,[f980]) ).

fof(f982,plain,
    ( ~ pd0_89
    | pd0_95
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | ( ( op2(e20,e22) != e20
            | op2(e22,e20) != e20 )
          & ( op2(e20,e22) != e21
            | op2(e22,e20) != e21 )
          & ( op2(e20,e22) != e22
            | op2(e22,e20) != e22 )
          & ( op2(e20,e22) != e23
            | op2(e22,e20) != e23 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f980,f981]) ).

fof(f983,plain,
    ( ~ pd0_89
    | pd0_95
    | op2(e20,e20) = e22 ),
    inference(cnf_transformation,[status(esa)],[f982]) ).

fof(f988,plain,
    ( ~ pd0_90
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f943]) ).

fof(f989,plain,
    ( pd0_96
   => ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 ) ),
    introduced(predicate_definition,[f988]) ).

fof(f990,plain,
    ( ~ pd0_90
    | pd0_96
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 ) ),
    inference(formula_renaming,[status(thm)],[f988,f989]) ).

fof(f991,plain,
    ( ~ pd0_90
    | pd0_96
    | op1(e10,e11) = e10 ),
    inference(cnf_transformation,[status(esa)],[f990]) ).

fof(f997,plain,
    ( ~ pd0_91
    | ( op1(e10,e10) = op1(e10,e10)
      & op1(e10,e10) != op1(e10,e10)
      & op1(e10,op1(e10,e10)) = e10 )
    | ( op1(e11,e10) = op1(e10,e11)
      & op1(e11,e11) != op1(e10,e11)
      & op1(e11,op1(e10,e11)) = e11 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f952]) ).

fof(f998,plain,
    ( pd0_97
   => ( op1(e10,e10) = op1(e10,e10)
      & op1(e10,e10) != op1(e10,e10)
      & op1(e10,op1(e10,e10)) = e10 ) ),
    introduced(predicate_definition,[f997]) ).

fof(f999,plain,
    ( ~ pd0_91
    | pd0_97
    | ( op1(e11,e10) = op1(e10,e11)
      & op1(e11,e11) != op1(e10,e11)
      & op1(e11,op1(e10,e11)) = e11 ) ),
    inference(formula_renaming,[status(thm)],[f997,f998]) ).

fof(f1000,plain,
    ( ~ pd0_91
    | pd0_97
    | op1(e11,e10) = op1(e10,e11) ),
    inference(cnf_transformation,[status(esa)],[f999]) ).

fof(f1002,plain,
    ( ~ pd0_91
    | pd0_97
    | op1(e11,op1(e10,e11)) = e11 ),
    inference(cnf_transformation,[status(esa)],[f999]) ).

fof(f1003,plain,
    ( ~ pd0_92
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | ( ( op1(e10,e10) != e10
            | op1(e10,e10) != e10 )
          & ( op1(e10,e10) != e11
            | op1(e10,e10) != e11 )
          & ( op1(e10,e10) != e12
            | op1(e10,e10) != e12 )
          & ( op1(e10,e10) != e13
            | op1(e10,e10) != e13 ) ) ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | ( ( op1(e10,e11) != e10
            | op1(e11,e10) != e10 )
          & ( op1(e10,e11) != e11
            | op1(e11,e10) != e11 )
          & ( op1(e10,e11) != e12
            | op1(e11,e10) != e12 )
          & ( op1(e10,e11) != e13
            | op1(e11,e10) != e13 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f958]) ).

fof(f1004,plain,
    ( pd0_98
   => ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | ( ( op1(e10,e10) != e10
            | op1(e10,e10) != e10 )
          & ( op1(e10,e10) != e11
            | op1(e10,e10) != e11 )
          & ( op1(e10,e10) != e12
            | op1(e10,e10) != e12 )
          & ( op1(e10,e10) != e13
            | op1(e10,e10) != e13 ) ) ) ) ),
    introduced(predicate_definition,[f1003]) ).

fof(f1005,plain,
    ( ~ pd0_92
    | pd0_98
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | ( ( op1(e10,e11) != e10
            | op1(e11,e10) != e10 )
          & ( op1(e10,e11) != e11
            | op1(e11,e10) != e11 )
          & ( op1(e10,e11) != e12
            | op1(e11,e10) != e12 )
          & ( op1(e10,e11) != e13
            | op1(e11,e10) != e13 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f1003,f1004]) ).

fof(f1010,plain,
    ( ~ pd0_92
    | pd0_98
    | op1(e10,e10) != e11
    | op1(e10,e11) != e13
    | op1(e11,e10) != e13 ),
    inference(cnf_transformation,[status(esa)],[f1005]) ).

fof(f1011,plain,
    ( ~ pd0_93
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f966]) ).

fof(f1012,plain,
    ( pd0_99
   => ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 ) ),
    introduced(predicate_definition,[f1011]) ).

fof(f1013,plain,
    ( ~ pd0_93
    | pd0_99
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 ) ),
    inference(formula_renaming,[status(thm)],[f1011,f1012]) ).

fof(f1014,plain,
    ( ~ pd0_93
    | pd0_99
    | op2(e20,e21) = e20 ),
    inference(cnf_transformation,[status(esa)],[f1013]) ).

fof(f1020,plain,
    ( ~ pd0_94
    | ( op2(e20,e20) = op2(e20,e20)
      & op2(e20,e20) != op2(e20,e20)
      & op2(e20,op2(e20,e20)) = e20 )
    | ( op2(e21,e20) = op2(e20,e21)
      & op2(e21,e21) != op2(e20,e21)
      & op2(e21,op2(e20,e21)) = e21 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f975]) ).

fof(f1021,plain,
    ( pd0_100
   => ( op2(e20,e20) = op2(e20,e20)
      & op2(e20,e20) != op2(e20,e20)
      & op2(e20,op2(e20,e20)) = e20 ) ),
    introduced(predicate_definition,[f1020]) ).

fof(f1022,plain,
    ( ~ pd0_94
    | pd0_100
    | ( op2(e21,e20) = op2(e20,e21)
      & op2(e21,e21) != op2(e20,e21)
      & op2(e21,op2(e20,e21)) = e21 ) ),
    inference(formula_renaming,[status(thm)],[f1020,f1021]) ).

fof(f1023,plain,
    ( ~ pd0_94
    | pd0_100
    | op2(e21,e20) = op2(e20,e21) ),
    inference(cnf_transformation,[status(esa)],[f1022]) ).

fof(f1025,plain,
    ( ~ pd0_94
    | pd0_100
    | op2(e21,op2(e20,e21)) = e21 ),
    inference(cnf_transformation,[status(esa)],[f1022]) ).

fof(f1026,plain,
    ( ~ pd0_95
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | ( ( op2(e20,e20) != e20
            | op2(e20,e20) != e20 )
          & ( op2(e20,e20) != e21
            | op2(e20,e20) != e21 )
          & ( op2(e20,e20) != e22
            | op2(e20,e20) != e22 )
          & ( op2(e20,e20) != e23
            | op2(e20,e20) != e23 ) ) ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | ( ( op2(e20,e21) != e20
            | op2(e21,e20) != e20 )
          & ( op2(e20,e21) != e21
            | op2(e21,e20) != e21 )
          & ( op2(e20,e21) != e22
            | op2(e21,e20) != e22 )
          & ( op2(e20,e21) != e23
            | op2(e21,e20) != e23 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f981]) ).

fof(f1027,plain,
    ( pd0_101
   => ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | ( ( op2(e20,e20) != e20
            | op2(e20,e20) != e20 )
          & ( op2(e20,e20) != e21
            | op2(e20,e20) != e21 )
          & ( op2(e20,e20) != e22
            | op2(e20,e20) != e22 )
          & ( op2(e20,e20) != e23
            | op2(e20,e20) != e23 ) ) ) ) ),
    introduced(predicate_definition,[f1026]) ).

fof(f1028,plain,
    ( ~ pd0_95
    | pd0_101
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | ( ( op2(e20,e21) != e20
            | op2(e21,e20) != e20 )
          & ( op2(e20,e21) != e21
            | op2(e21,e20) != e21 )
          & ( op2(e20,e21) != e22
            | op2(e21,e20) != e22 )
          & ( op2(e20,e21) != e23
            | op2(e21,e20) != e23 ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f1026,f1027]) ).

fof(f1033,plain,
    ( ~ pd0_95
    | pd0_101
    | op2(e20,e20) != e21
    | op2(e20,e21) != e23
    | op2(e21,e20) != e23 ),
    inference(cnf_transformation,[status(esa)],[f1028]) ).

fof(f1034,plain,
    ( ~ pd0_96
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & op1(e10,e10) != e10
      & op1(e11,e10) != e11
      & op1(e12,e10) != e12
      & op1(e13,e10) != e13 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f989]) ).

fof(f1035,plain,
    ( ~ pd0_96
    | op1(e10,e10) = e10 ),
    inference(cnf_transformation,[status(esa)],[f1034]) ).

fof(f1041,plain,
    ( ~ pd0_97
    | ( op1(e10,e10) = op1(e10,e10)
      & op1(e10,e10) != op1(e10,e10)
      & op1(e10,op1(e10,e10)) = e10 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f998]) ).

fof(f1044,plain,
    ( ~ pd0_97
    | op1(e10,op1(e10,e10)) = e10 ),
    inference(cnf_transformation,[status(esa)],[f1041]) ).

fof(f1045,plain,
    ( ~ pd0_98
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | ( ( op1(e10,e10) != e10
            | op1(e10,e10) != e10 )
          & ( op1(e10,e10) != e11
            | op1(e10,e10) != e11 )
          & ( op1(e10,e10) != e12
            | op1(e10,e10) != e12 )
          & ( op1(e10,e10) != e13
            | op1(e10,e10) != e13 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f1004]) ).

fof(f1046,plain,
    ( ~ pd0_98
    | op1(e10,e10) = e10 ),
    inference(cnf_transformation,[status(esa)],[f1045]) ).

fof(f1051,plain,
    ( ~ pd0_99
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & op2(e20,e20) != e20
      & op2(e21,e20) != e21
      & op2(e22,e20) != e22
      & op2(e23,e20) != e23 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f1012]) ).

fof(f1052,plain,
    ( ~ pd0_99
    | op2(e20,e20) = e20 ),
    inference(cnf_transformation,[status(esa)],[f1051]) ).

fof(f1058,plain,
    ( ~ pd0_100
    | ( op2(e20,e20) = op2(e20,e20)
      & op2(e20,e20) != op2(e20,e20)
      & op2(e20,op2(e20,e20)) = e20 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f1021]) ).

fof(f1061,plain,
    ( ~ pd0_100
    | op2(e20,op2(e20,e20)) = e20 ),
    inference(cnf_transformation,[status(esa)],[f1058]) ).

fof(f1062,plain,
    ( ~ pd0_101
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | ( ( op2(e20,e20) != e20
            | op2(e20,e20) != e20 )
          & ( op2(e20,e20) != e21
            | op2(e20,e20) != e21 )
          & ( op2(e20,e20) != e22
            | op2(e20,e20) != e22 )
          & ( op2(e20,e20) != e23
            | op2(e20,e20) != e23 ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f1027]) ).

fof(f1063,plain,
    ( ~ pd0_101
    | op2(e20,e20) = e20 ),
    inference(cnf_transformation,[status(esa)],[f1062]) ).

fof(f1068,plain,
    ( spl0_0
  <=> op1(e10,e10) = e10 ),
    introduced(split_symbol_definition) ).

fof(f1069,plain,
    ( op1(e10,e10) = e10
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f1068]) ).

fof(f1071,plain,
    ( spl0_1
  <=> op1(e10,e10) = e11 ),
    introduced(split_symbol_definition) ).

fof(f1074,plain,
    ( spl0_2
  <=> op1(e10,e10) = e12 ),
    introduced(split_symbol_definition) ).

fof(f1075,plain,
    ( op1(e10,e10) = e12
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f1074]) ).

fof(f1077,plain,
    ( spl0_3
  <=> op1(e10,e10) = e13 ),
    introduced(split_symbol_definition) ).

fof(f1078,plain,
    ( op1(e10,e10) = e13
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f1077]) ).

fof(f1080,plain,
    ( spl0_0
    | spl0_1
    | spl0_2
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f20,f1068,f1071,f1074,f1077]) ).

fof(f1081,plain,
    ( spl0_4
  <=> op1(e10,e11) = e10 ),
    introduced(split_symbol_definition) ).

fof(f1082,plain,
    ( op1(e10,e11) = e10
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f1081]) ).

fof(f1084,plain,
    ( spl0_5
  <=> op1(e10,e11) = e11 ),
    introduced(split_symbol_definition) ).

fof(f1085,plain,
    ( op1(e10,e11) = e11
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f1084]) ).

fof(f1087,plain,
    ( spl0_6
  <=> op1(e10,e11) = e12 ),
    introduced(split_symbol_definition) ).

fof(f1088,plain,
    ( op1(e10,e11) = e12
    | ~ spl0_6 ),
    inference(component_clause,[status(thm)],[f1087]) ).

fof(f1090,plain,
    ( spl0_7
  <=> op1(e10,e11) = e13 ),
    introduced(split_symbol_definition) ).

fof(f1093,plain,
    ( spl0_4
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(split_clause,[status(thm)],[f21,f1081,f1084,f1087,f1090]) ).

fof(f1094,plain,
    ( spl0_8
  <=> op1(e10,e12) = e10 ),
    introduced(split_symbol_definition) ).

fof(f1095,plain,
    ( op1(e10,e12) = e10
    | ~ spl0_8 ),
    inference(component_clause,[status(thm)],[f1094]) ).

fof(f1097,plain,
    ( spl0_9
  <=> op1(e10,e12) = e11 ),
    introduced(split_symbol_definition) ).

fof(f1098,plain,
    ( op1(e10,e12) = e11
    | ~ spl0_9 ),
    inference(component_clause,[status(thm)],[f1097]) ).

fof(f1100,plain,
    ( spl0_10
  <=> op1(e10,e12) = e12 ),
    introduced(split_symbol_definition) ).

fof(f1101,plain,
    ( op1(e10,e12) = e12
    | ~ spl0_10 ),
    inference(component_clause,[status(thm)],[f1100]) ).

fof(f1103,plain,
    ( spl0_11
  <=> op1(e10,e12) = e13 ),
    introduced(split_symbol_definition) ).

fof(f1104,plain,
    ( op1(e10,e12) = e13
    | ~ spl0_11 ),
    inference(component_clause,[status(thm)],[f1103]) ).

fof(f1107,plain,
    ( spl0_12
  <=> op1(e10,e13) = e10 ),
    introduced(split_symbol_definition) ).

fof(f1108,plain,
    ( op1(e10,e13) = e10
    | ~ spl0_12 ),
    inference(component_clause,[status(thm)],[f1107]) ).

fof(f1110,plain,
    ( spl0_13
  <=> op1(e10,e13) = e11 ),
    introduced(split_symbol_definition) ).

fof(f1111,plain,
    ( op1(e10,e13) = e11
    | ~ spl0_13 ),
    inference(component_clause,[status(thm)],[f1110]) ).

fof(f1113,plain,
    ( spl0_14
  <=> op1(e10,e13) = e12 ),
    introduced(split_symbol_definition) ).

fof(f1114,plain,
    ( op1(e10,e13) = e12
    | ~ spl0_14 ),
    inference(component_clause,[status(thm)],[f1113]) ).

fof(f1116,plain,
    ( spl0_15
  <=> op1(e10,e13) = e13 ),
    introduced(split_symbol_definition) ).

fof(f1117,plain,
    ( op1(e10,e13) = e13
    | ~ spl0_15 ),
    inference(component_clause,[status(thm)],[f1116]) ).

fof(f1120,plain,
    ( spl0_16
  <=> op1(e11,e10) = e10 ),
    introduced(split_symbol_definition) ).

fof(f1121,plain,
    ( op1(e11,e10) = e10
    | ~ spl0_16 ),
    inference(component_clause,[status(thm)],[f1120]) ).

fof(f1123,plain,
    ( spl0_17
  <=> op1(e11,e10) = e11 ),
    introduced(split_symbol_definition) ).

fof(f1124,plain,
    ( op1(e11,e10) = e11
    | ~ spl0_17 ),
    inference(component_clause,[status(thm)],[f1123]) ).

fof(f1126,plain,
    ( spl0_18
  <=> op1(e11,e10) = e12 ),
    introduced(split_symbol_definition) ).

fof(f1127,plain,
    ( op1(e11,e10) = e12
    | ~ spl0_18 ),
    inference(component_clause,[status(thm)],[f1126]) ).

fof(f1129,plain,
    ( spl0_19
  <=> op1(e11,e10) = e13 ),
    introduced(split_symbol_definition) ).

fof(f1132,plain,
    ( spl0_16
    | spl0_17
    | spl0_18
    | spl0_19 ),
    inference(split_clause,[status(thm)],[f24,f1120,f1123,f1126,f1129]) ).

fof(f1133,plain,
    ( spl0_20
  <=> op1(e11,e11) = e10 ),
    introduced(split_symbol_definition) ).

fof(f1134,plain,
    ( op1(e11,e11) = e10
    | ~ spl0_20 ),
    inference(component_clause,[status(thm)],[f1133]) ).

fof(f1136,plain,
    ( spl0_21
  <=> op1(e11,e11) = e11 ),
    introduced(split_symbol_definition) ).

fof(f1137,plain,
    ( op1(e11,e11) = e11
    | ~ spl0_21 ),
    inference(component_clause,[status(thm)],[f1136]) ).

fof(f1139,plain,
    ( spl0_22
  <=> op1(e11,e11) = e12 ),
    introduced(split_symbol_definition) ).

fof(f1140,plain,
    ( op1(e11,e11) = e12
    | ~ spl0_22 ),
    inference(component_clause,[status(thm)],[f1139]) ).

fof(f1142,plain,
    ( spl0_23
  <=> op1(e11,e11) = e13 ),
    introduced(split_symbol_definition) ).

fof(f1146,plain,
    ( spl0_24
  <=> op1(e11,e12) = e10 ),
    introduced(split_symbol_definition) ).

fof(f1147,plain,
    ( op1(e11,e12) = e10
    | ~ spl0_24 ),
    inference(component_clause,[status(thm)],[f1146]) ).

fof(f1149,plain,
    ( spl0_25
  <=> op1(e11,e12) = e11 ),
    introduced(split_symbol_definition) ).

fof(f1150,plain,
    ( op1(e11,e12) = e11
    | ~ spl0_25 ),
    inference(component_clause,[status(thm)],[f1149]) ).

fof(f1152,plain,
    ( spl0_26
  <=> op1(e11,e12) = e12 ),
    introduced(split_symbol_definition) ).

fof(f1153,plain,
    ( op1(e11,e12) = e12
    | ~ spl0_26 ),
    inference(component_clause,[status(thm)],[f1152]) ).

fof(f1155,plain,
    ( spl0_27
  <=> op1(e11,e12) = e13 ),
    introduced(split_symbol_definition) ).

fof(f1156,plain,
    ( op1(e11,e12) = e13
    | ~ spl0_27 ),
    inference(component_clause,[status(thm)],[f1155]) ).

fof(f1158,plain,
    ( spl0_24
    | spl0_25
    | spl0_26
    | spl0_27 ),
    inference(split_clause,[status(thm)],[f26,f1146,f1149,f1152,f1155]) ).

fof(f1159,plain,
    ( spl0_28
  <=> op1(e11,e13) = e10 ),
    introduced(split_symbol_definition) ).

fof(f1160,plain,
    ( op1(e11,e13) = e10
    | ~ spl0_28 ),
    inference(component_clause,[status(thm)],[f1159]) ).

fof(f1162,plain,
    ( spl0_29
  <=> op1(e11,e13) = e11 ),
    introduced(split_symbol_definition) ).

fof(f1163,plain,
    ( op1(e11,e13) = e11
    | ~ spl0_29 ),
    inference(component_clause,[status(thm)],[f1162]) ).

fof(f1165,plain,
    ( spl0_30
  <=> op1(e11,e13) = e12 ),
    introduced(split_symbol_definition) ).

fof(f1166,plain,
    ( op1(e11,e13) = e12
    | ~ spl0_30 ),
    inference(component_clause,[status(thm)],[f1165]) ).

fof(f1168,plain,
    ( spl0_31
  <=> op1(e11,e13) = e13 ),
    introduced(split_symbol_definition) ).

fof(f1169,plain,
    ( op1(e11,e13) = e13
    | ~ spl0_31 ),
    inference(component_clause,[status(thm)],[f1168]) ).

fof(f1171,plain,
    ( spl0_28
    | spl0_29
    | spl0_30
    | spl0_31 ),
    inference(split_clause,[status(thm)],[f27,f1159,f1162,f1165,f1168]) ).

fof(f1172,plain,
    ( spl0_32
  <=> op1(e12,e10) = e10 ),
    introduced(split_symbol_definition) ).

fof(f1173,plain,
    ( op1(e12,e10) = e10
    | ~ spl0_32 ),
    inference(component_clause,[status(thm)],[f1172]) ).

fof(f1174,plain,
    ( op1(e12,e10) != e10
    | spl0_32 ),
    inference(component_clause,[status(thm)],[f1172]) ).

fof(f1175,plain,
    ( spl0_33
  <=> op1(e12,e10) = e11 ),
    introduced(split_symbol_definition) ).

fof(f1176,plain,
    ( op1(e12,e10) = e11
    | ~ spl0_33 ),
    inference(component_clause,[status(thm)],[f1175]) ).

fof(f1178,plain,
    ( spl0_34
  <=> op1(e12,e10) = e12 ),
    introduced(split_symbol_definition) ).

fof(f1179,plain,
    ( op1(e12,e10) = e12
    | ~ spl0_34 ),
    inference(component_clause,[status(thm)],[f1178]) ).

fof(f1181,plain,
    ( spl0_35
  <=> op1(e12,e10) = e13 ),
    introduced(split_symbol_definition) ).

fof(f1182,plain,
    ( op1(e12,e10) = e13
    | ~ spl0_35 ),
    inference(component_clause,[status(thm)],[f1181]) ).

fof(f1184,plain,
    ( spl0_32
    | spl0_33
    | spl0_34
    | spl0_35 ),
    inference(split_clause,[status(thm)],[f28,f1172,f1175,f1178,f1181]) ).

fof(f1185,plain,
    ( spl0_36
  <=> op1(e12,e11) = e10 ),
    introduced(split_symbol_definition) ).

fof(f1186,plain,
    ( op1(e12,e11) = e10
    | ~ spl0_36 ),
    inference(component_clause,[status(thm)],[f1185]) ).

fof(f1188,plain,
    ( spl0_37
  <=> op1(e12,e11) = e11 ),
    introduced(split_symbol_definition) ).

fof(f1189,plain,
    ( op1(e12,e11) = e11
    | ~ spl0_37 ),
    inference(component_clause,[status(thm)],[f1188]) ).

fof(f1191,plain,
    ( spl0_38
  <=> op1(e12,e11) = e12 ),
    introduced(split_symbol_definition) ).

fof(f1194,plain,
    ( spl0_39
  <=> op1(e12,e11) = e13 ),
    introduced(split_symbol_definition) ).

fof(f1195,plain,
    ( op1(e12,e11) = e13
    | ~ spl0_39 ),
    inference(component_clause,[status(thm)],[f1194]) ).

fof(f1197,plain,
    ( spl0_36
    | spl0_37
    | spl0_38
    | spl0_39 ),
    inference(split_clause,[status(thm)],[f29,f1185,f1188,f1191,f1194]) ).

fof(f1198,plain,
    ( spl0_40
  <=> op1(e12,e12) = e10 ),
    introduced(split_symbol_definition) ).

fof(f1199,plain,
    ( op1(e12,e12) = e10
    | ~ spl0_40 ),
    inference(component_clause,[status(thm)],[f1198]) ).

fof(f1201,plain,
    ( spl0_41
  <=> op1(e12,e12) = e11 ),
    introduced(split_symbol_definition) ).

fof(f1202,plain,
    ( op1(e12,e12) = e11
    | ~ spl0_41 ),
    inference(component_clause,[status(thm)],[f1201]) ).

fof(f1204,plain,
    ( spl0_42
  <=> op1(e12,e12) = e12 ),
    introduced(split_symbol_definition) ).

fof(f1205,plain,
    ( op1(e12,e12) = e12
    | ~ spl0_42 ),
    inference(component_clause,[status(thm)],[f1204]) ).

fof(f1207,plain,
    ( spl0_43
  <=> op1(e12,e12) = e13 ),
    introduced(split_symbol_definition) ).

fof(f1208,plain,
    ( op1(e12,e12) = e13
    | ~ spl0_43 ),
    inference(component_clause,[status(thm)],[f1207]) ).

fof(f1210,plain,
    ( spl0_40
    | spl0_41
    | spl0_42
    | spl0_43 ),
    inference(split_clause,[status(thm)],[f30,f1198,f1201,f1204,f1207]) ).

fof(f1211,plain,
    ( spl0_44
  <=> op1(e12,e13) = e10 ),
    introduced(split_symbol_definition) ).

fof(f1212,plain,
    ( op1(e12,e13) = e10
    | ~ spl0_44 ),
    inference(component_clause,[status(thm)],[f1211]) ).

fof(f1214,plain,
    ( spl0_45
  <=> op1(e12,e13) = e11 ),
    introduced(split_symbol_definition) ).

fof(f1217,plain,
    ( spl0_46
  <=> op1(e12,e13) = e12 ),
    introduced(split_symbol_definition) ).

fof(f1218,plain,
    ( op1(e12,e13) = e12
    | ~ spl0_46 ),
    inference(component_clause,[status(thm)],[f1217]) ).

fof(f1220,plain,
    ( spl0_47
  <=> op1(e12,e13) = e13 ),
    introduced(split_symbol_definition) ).

fof(f1221,plain,
    ( op1(e12,e13) = e13
    | ~ spl0_47 ),
    inference(component_clause,[status(thm)],[f1220]) ).

fof(f1223,plain,
    ( spl0_44
    | spl0_45
    | spl0_46
    | spl0_47 ),
    inference(split_clause,[status(thm)],[f31,f1211,f1214,f1217,f1220]) ).

fof(f1224,plain,
    ( spl0_48
  <=> op1(e13,e10) = e10 ),
    introduced(split_symbol_definition) ).

fof(f1225,plain,
    ( op1(e13,e10) = e10
    | ~ spl0_48 ),
    inference(component_clause,[status(thm)],[f1224]) ).

fof(f1227,plain,
    ( spl0_49
  <=> op1(e13,e10) = e11 ),
    introduced(split_symbol_definition) ).

fof(f1228,plain,
    ( op1(e13,e10) = e11
    | ~ spl0_49 ),
    inference(component_clause,[status(thm)],[f1227]) ).

fof(f1230,plain,
    ( spl0_50
  <=> op1(e13,e10) = e12 ),
    introduced(split_symbol_definition) ).

fof(f1232,plain,
    ( op1(e13,e10) != e12
    | spl0_50 ),
    inference(component_clause,[status(thm)],[f1230]) ).

fof(f1233,plain,
    ( spl0_51
  <=> op1(e13,e10) = e13 ),
    introduced(split_symbol_definition) ).

fof(f1234,plain,
    ( op1(e13,e10) = e13
    | ~ spl0_51 ),
    inference(component_clause,[status(thm)],[f1233]) ).

fof(f1237,plain,
    ( spl0_52
  <=> op1(e13,e11) = e10 ),
    introduced(split_symbol_definition) ).

fof(f1238,plain,
    ( op1(e13,e11) = e10
    | ~ spl0_52 ),
    inference(component_clause,[status(thm)],[f1237]) ).

fof(f1240,plain,
    ( spl0_53
  <=> op1(e13,e11) = e11 ),
    introduced(split_symbol_definition) ).

fof(f1241,plain,
    ( op1(e13,e11) = e11
    | ~ spl0_53 ),
    inference(component_clause,[status(thm)],[f1240]) ).

fof(f1243,plain,
    ( spl0_54
  <=> op1(e13,e11) = e12 ),
    introduced(split_symbol_definition) ).

fof(f1244,plain,
    ( op1(e13,e11) = e12
    | ~ spl0_54 ),
    inference(component_clause,[status(thm)],[f1243]) ).

fof(f1246,plain,
    ( spl0_55
  <=> op1(e13,e11) = e13 ),
    introduced(split_symbol_definition) ).

fof(f1247,plain,
    ( op1(e13,e11) = e13
    | ~ spl0_55 ),
    inference(component_clause,[status(thm)],[f1246]) ).

fof(f1249,plain,
    ( spl0_52
    | spl0_53
    | spl0_54
    | spl0_55 ),
    inference(split_clause,[status(thm)],[f33,f1237,f1240,f1243,f1246]) ).

fof(f1250,plain,
    ( spl0_56
  <=> op1(e13,e12) = e10 ),
    introduced(split_symbol_definition) ).

fof(f1253,plain,
    ( spl0_57
  <=> op1(e13,e12) = e11 ),
    introduced(split_symbol_definition) ).

fof(f1256,plain,
    ( spl0_58
  <=> op1(e13,e12) = e12 ),
    introduced(split_symbol_definition) ).

fof(f1259,plain,
    ( spl0_59
  <=> op1(e13,e12) = e13 ),
    introduced(split_symbol_definition) ).

fof(f1260,plain,
    ( op1(e13,e12) = e13
    | ~ spl0_59 ),
    inference(component_clause,[status(thm)],[f1259]) ).

fof(f1263,plain,
    ( spl0_60
  <=> op1(e13,e13) = e10 ),
    introduced(split_symbol_definition) ).

fof(f1264,plain,
    ( op1(e13,e13) = e10
    | ~ spl0_60 ),
    inference(component_clause,[status(thm)],[f1263]) ).

fof(f1266,plain,
    ( spl0_61
  <=> op1(e13,e13) = e11 ),
    introduced(split_symbol_definition) ).

fof(f1267,plain,
    ( op1(e13,e13) = e11
    | ~ spl0_61 ),
    inference(component_clause,[status(thm)],[f1266]) ).

fof(f1269,plain,
    ( spl0_62
  <=> op1(e13,e13) = e12 ),
    introduced(split_symbol_definition) ).

fof(f1270,plain,
    ( op1(e13,e13) = e12
    | ~ spl0_62 ),
    inference(component_clause,[status(thm)],[f1269]) ).

fof(f1272,plain,
    ( spl0_63
  <=> op1(e13,e13) = e13 ),
    introduced(split_symbol_definition) ).

fof(f1273,plain,
    ( op1(e13,e13) = e13
    | ~ spl0_63 ),
    inference(component_clause,[status(thm)],[f1272]) ).

fof(f1275,plain,
    ( spl0_60
    | spl0_61
    | spl0_62
    | spl0_63 ),
    inference(split_clause,[status(thm)],[f35,f1263,f1266,f1269,f1272]) ).

fof(f1276,plain,
    ( spl0_0
    | spl0_4
    | spl0_8
    | spl0_12 ),
    inference(split_clause,[status(thm)],[f36,f1068,f1081,f1094,f1107]) ).

fof(f1277,plain,
    ( spl0_0
    | spl0_16
    | spl0_32
    | spl0_48 ),
    inference(split_clause,[status(thm)],[f37,f1068,f1120,f1172,f1224]) ).

fof(f1280,plain,
    ( spl0_2
    | spl0_6
    | spl0_10
    | spl0_14 ),
    inference(split_clause,[status(thm)],[f40,f1074,f1087,f1100,f1113]) ).

fof(f1283,plain,
    ( spl0_3
    | spl0_19
    | spl0_35
    | spl0_51 ),
    inference(split_clause,[status(thm)],[f43,f1077,f1129,f1181,f1233]) ).

fof(f1284,plain,
    ( spl0_16
    | spl0_20
    | spl0_24
    | spl0_28 ),
    inference(split_clause,[status(thm)],[f44,f1120,f1133,f1146,f1159]) ).

fof(f1285,plain,
    ( spl0_4
    | spl0_20
    | spl0_36
    | spl0_52 ),
    inference(split_clause,[status(thm)],[f45,f1081,f1133,f1185,f1237]) ).

fof(f1286,plain,
    ( spl0_17
    | spl0_21
    | spl0_25
    | spl0_29 ),
    inference(split_clause,[status(thm)],[f46,f1123,f1136,f1149,f1162]) ).

fof(f1288,plain,
    ( spl0_18
    | spl0_22
    | spl0_26
    | spl0_30 ),
    inference(split_clause,[status(thm)],[f48,f1126,f1139,f1152,f1165]) ).

fof(f1289,plain,
    ( spl0_6
    | spl0_22
    | spl0_38
    | spl0_54 ),
    inference(split_clause,[status(thm)],[f49,f1087,f1139,f1191,f1243]) ).

fof(f1292,plain,
    ( spl0_32
    | spl0_36
    | spl0_40
    | spl0_44 ),
    inference(split_clause,[status(thm)],[f52,f1172,f1185,f1198,f1211]) ).

fof(f1294,plain,
    ( spl0_33
    | spl0_37
    | spl0_41
    | spl0_45 ),
    inference(split_clause,[status(thm)],[f54,f1175,f1188,f1201,f1214]) ).

fof(f1295,plain,
    ( spl0_9
    | spl0_25
    | spl0_41
    | spl0_57 ),
    inference(split_clause,[status(thm)],[f55,f1097,f1149,f1201,f1253]) ).

fof(f1296,plain,
    ( spl0_34
    | spl0_38
    | spl0_42
    | spl0_46 ),
    inference(split_clause,[status(thm)],[f56,f1178,f1191,f1204,f1217]) ).

fof(f1299,plain,
    ( spl0_11
    | spl0_27
    | spl0_43
    | spl0_59 ),
    inference(split_clause,[status(thm)],[f59,f1103,f1155,f1207,f1259]) ).

fof(f1300,plain,
    ( spl0_48
    | spl0_52
    | spl0_56
    | spl0_60 ),
    inference(split_clause,[status(thm)],[f60,f1224,f1237,f1250,f1263]) ).

fof(f1301,plain,
    ( spl0_12
    | spl0_28
    | spl0_44
    | spl0_60 ),
    inference(split_clause,[status(thm)],[f61,f1107,f1159,f1211,f1263]) ).

fof(f1302,plain,
    ( spl0_49
    | spl0_53
    | spl0_57
    | spl0_61 ),
    inference(split_clause,[status(thm)],[f62,f1227,f1240,f1253,f1266]) ).

fof(f1303,plain,
    ( spl0_13
    | spl0_29
    | spl0_45
    | spl0_61 ),
    inference(split_clause,[status(thm)],[f63,f1110,f1162,f1214,f1266]) ).

fof(f1305,plain,
    ( spl0_14
    | spl0_30
    | spl0_46
    | spl0_62 ),
    inference(split_clause,[status(thm)],[f65,f1113,f1165,f1217,f1269]) ).

fof(f1306,plain,
    ( spl0_51
    | spl0_55
    | spl0_59
    | spl0_63 ),
    inference(split_clause,[status(thm)],[f66,f1233,f1246,f1259,f1272]) ).

fof(f1307,plain,
    ( spl0_15
    | spl0_31
    | spl0_47
    | spl0_63 ),
    inference(split_clause,[status(thm)],[f67,f1116,f1168,f1220,f1272]) ).

fof(f1308,plain,
    ( spl0_64
  <=> op2(e20,e20) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1309,plain,
    ( op2(e20,e20) = e20
    | ~ spl0_64 ),
    inference(component_clause,[status(thm)],[f1308]) ).

fof(f1311,plain,
    ( spl0_65
  <=> op2(e20,e20) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1314,plain,
    ( spl0_66
  <=> op2(e20,e20) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1315,plain,
    ( op2(e20,e20) = e22
    | ~ spl0_66 ),
    inference(component_clause,[status(thm)],[f1314]) ).

fof(f1317,plain,
    ( spl0_67
  <=> op2(e20,e20) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1318,plain,
    ( op2(e20,e20) = e23
    | ~ spl0_67 ),
    inference(component_clause,[status(thm)],[f1317]) ).

fof(f1321,plain,
    ( spl0_68
  <=> op2(e20,e21) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1322,plain,
    ( op2(e20,e21) = e20
    | ~ spl0_68 ),
    inference(component_clause,[status(thm)],[f1321]) ).

fof(f1324,plain,
    ( spl0_69
  <=> op2(e20,e21) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1325,plain,
    ( op2(e20,e21) = e21
    | ~ spl0_69 ),
    inference(component_clause,[status(thm)],[f1324]) ).

fof(f1327,plain,
    ( spl0_70
  <=> op2(e20,e21) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1328,plain,
    ( op2(e20,e21) = e22
    | ~ spl0_70 ),
    inference(component_clause,[status(thm)],[f1327]) ).

fof(f1330,plain,
    ( spl0_71
  <=> op2(e20,e21) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1332,plain,
    ( op2(e20,e21) != e23
    | spl0_71 ),
    inference(component_clause,[status(thm)],[f1330]) ).

fof(f1334,plain,
    ( spl0_72
  <=> op2(e20,e22) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1335,plain,
    ( op2(e20,e22) = e20
    | ~ spl0_72 ),
    inference(component_clause,[status(thm)],[f1334]) ).

fof(f1337,plain,
    ( spl0_73
  <=> op2(e20,e22) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1338,plain,
    ( op2(e20,e22) = e21
    | ~ spl0_73 ),
    inference(component_clause,[status(thm)],[f1337]) ).

fof(f1340,plain,
    ( spl0_74
  <=> op2(e20,e22) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1341,plain,
    ( op2(e20,e22) = e22
    | ~ spl0_74 ),
    inference(component_clause,[status(thm)],[f1340]) ).

fof(f1343,plain,
    ( spl0_75
  <=> op2(e20,e22) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1344,plain,
    ( op2(e20,e22) = e23
    | ~ spl0_75 ),
    inference(component_clause,[status(thm)],[f1343]) ).

fof(f1346,plain,
    ( spl0_72
    | spl0_73
    | spl0_74
    | spl0_75 ),
    inference(split_clause,[status(thm)],[f70,f1334,f1337,f1340,f1343]) ).

fof(f1347,plain,
    ( spl0_76
  <=> op2(e20,e23) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1350,plain,
    ( spl0_77
  <=> op2(e20,e23) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1351,plain,
    ( op2(e20,e23) = e21
    | ~ spl0_77 ),
    inference(component_clause,[status(thm)],[f1350]) ).

fof(f1353,plain,
    ( spl0_78
  <=> op2(e20,e23) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1354,plain,
    ( op2(e20,e23) = e22
    | ~ spl0_78 ),
    inference(component_clause,[status(thm)],[f1353]) ).

fof(f1356,plain,
    ( spl0_79
  <=> op2(e20,e23) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1357,plain,
    ( op2(e20,e23) = e23
    | ~ spl0_79 ),
    inference(component_clause,[status(thm)],[f1356]) ).

fof(f1359,plain,
    ( spl0_76
    | spl0_77
    | spl0_78
    | spl0_79 ),
    inference(split_clause,[status(thm)],[f71,f1347,f1350,f1353,f1356]) ).

fof(f1360,plain,
    ( spl0_80
  <=> op2(e21,e20) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1361,plain,
    ( op2(e21,e20) = e20
    | ~ spl0_80 ),
    inference(component_clause,[status(thm)],[f1360]) ).

fof(f1363,plain,
    ( spl0_81
  <=> op2(e21,e20) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1364,plain,
    ( op2(e21,e20) = e21
    | ~ spl0_81 ),
    inference(component_clause,[status(thm)],[f1363]) ).

fof(f1366,plain,
    ( spl0_82
  <=> op2(e21,e20) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1367,plain,
    ( op2(e21,e20) = e22
    | ~ spl0_82 ),
    inference(component_clause,[status(thm)],[f1366]) ).

fof(f1369,plain,
    ( spl0_83
  <=> op2(e21,e20) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1371,plain,
    ( op2(e21,e20) != e23
    | spl0_83 ),
    inference(component_clause,[status(thm)],[f1369]) ).

fof(f1372,plain,
    ( spl0_80
    | spl0_81
    | spl0_82
    | spl0_83 ),
    inference(split_clause,[status(thm)],[f72,f1360,f1363,f1366,f1369]) ).

fof(f1373,plain,
    ( spl0_84
  <=> op2(e21,e21) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1374,plain,
    ( op2(e21,e21) = e20
    | ~ spl0_84 ),
    inference(component_clause,[status(thm)],[f1373]) ).

fof(f1375,plain,
    ( op2(e21,e21) != e20
    | spl0_84 ),
    inference(component_clause,[status(thm)],[f1373]) ).

fof(f1376,plain,
    ( spl0_85
  <=> op2(e21,e21) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1377,plain,
    ( op2(e21,e21) = e21
    | ~ spl0_85 ),
    inference(component_clause,[status(thm)],[f1376]) ).

fof(f1379,plain,
    ( spl0_86
  <=> op2(e21,e21) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1380,plain,
    ( op2(e21,e21) = e22
    | ~ spl0_86 ),
    inference(component_clause,[status(thm)],[f1379]) ).

fof(f1382,plain,
    ( spl0_87
  <=> op2(e21,e21) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1383,plain,
    ( op2(e21,e21) = e23
    | ~ spl0_87 ),
    inference(component_clause,[status(thm)],[f1382]) ).

fof(f1385,plain,
    ( spl0_84
    | spl0_85
    | spl0_86
    | spl0_87 ),
    inference(split_clause,[status(thm)],[f73,f1373,f1376,f1379,f1382]) ).

fof(f1386,plain,
    ( spl0_88
  <=> op2(e21,e22) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1389,plain,
    ( spl0_89
  <=> op2(e21,e22) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1390,plain,
    ( op2(e21,e22) = e21
    | ~ spl0_89 ),
    inference(component_clause,[status(thm)],[f1389]) ).

fof(f1392,plain,
    ( spl0_90
  <=> op2(e21,e22) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1393,plain,
    ( op2(e21,e22) = e22
    | ~ spl0_90 ),
    inference(component_clause,[status(thm)],[f1392]) ).

fof(f1395,plain,
    ( spl0_91
  <=> op2(e21,e22) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1396,plain,
    ( op2(e21,e22) = e23
    | ~ spl0_91 ),
    inference(component_clause,[status(thm)],[f1395]) ).

fof(f1398,plain,
    ( spl0_88
    | spl0_89
    | spl0_90
    | spl0_91 ),
    inference(split_clause,[status(thm)],[f74,f1386,f1389,f1392,f1395]) ).

fof(f1399,plain,
    ( spl0_92
  <=> op2(e21,e23) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1400,plain,
    ( op2(e21,e23) = e20
    | ~ spl0_92 ),
    inference(component_clause,[status(thm)],[f1399]) ).

fof(f1402,plain,
    ( spl0_93
  <=> op2(e21,e23) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1403,plain,
    ( op2(e21,e23) = e21
    | ~ spl0_93 ),
    inference(component_clause,[status(thm)],[f1402]) ).

fof(f1405,plain,
    ( spl0_94
  <=> op2(e21,e23) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1408,plain,
    ( spl0_95
  <=> op2(e21,e23) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1409,plain,
    ( op2(e21,e23) = e23
    | ~ spl0_95 ),
    inference(component_clause,[status(thm)],[f1408]) ).

fof(f1411,plain,
    ( spl0_92
    | spl0_93
    | spl0_94
    | spl0_95 ),
    inference(split_clause,[status(thm)],[f75,f1399,f1402,f1405,f1408]) ).

fof(f1412,plain,
    ( spl0_96
  <=> op2(e22,e20) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1413,plain,
    ( op2(e22,e20) = e20
    | ~ spl0_96 ),
    inference(component_clause,[status(thm)],[f1412]) ).

fof(f1414,plain,
    ( op2(e22,e20) != e20
    | spl0_96 ),
    inference(component_clause,[status(thm)],[f1412]) ).

fof(f1415,plain,
    ( spl0_97
  <=> op2(e22,e20) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1416,plain,
    ( op2(e22,e20) = e21
    | ~ spl0_97 ),
    inference(component_clause,[status(thm)],[f1415]) ).

fof(f1418,plain,
    ( spl0_98
  <=> op2(e22,e20) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1419,plain,
    ( op2(e22,e20) = e22
    | ~ spl0_98 ),
    inference(component_clause,[status(thm)],[f1418]) ).

fof(f1421,plain,
    ( spl0_99
  <=> op2(e22,e20) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1422,plain,
    ( op2(e22,e20) = e23
    | ~ spl0_99 ),
    inference(component_clause,[status(thm)],[f1421]) ).

fof(f1425,plain,
    ( spl0_100
  <=> op2(e22,e21) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1426,plain,
    ( op2(e22,e21) = e20
    | ~ spl0_100 ),
    inference(component_clause,[status(thm)],[f1425]) ).

fof(f1428,plain,
    ( spl0_101
  <=> op2(e22,e21) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1429,plain,
    ( op2(e22,e21) = e21
    | ~ spl0_101 ),
    inference(component_clause,[status(thm)],[f1428]) ).

fof(f1431,plain,
    ( spl0_102
  <=> op2(e22,e21) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1432,plain,
    ( op2(e22,e21) = e22
    | ~ spl0_102 ),
    inference(component_clause,[status(thm)],[f1431]) ).

fof(f1434,plain,
    ( spl0_103
  <=> op2(e22,e21) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1435,plain,
    ( op2(e22,e21) = e23
    | ~ spl0_103 ),
    inference(component_clause,[status(thm)],[f1434]) ).

fof(f1437,plain,
    ( spl0_100
    | spl0_101
    | spl0_102
    | spl0_103 ),
    inference(split_clause,[status(thm)],[f77,f1425,f1428,f1431,f1434]) ).

fof(f1438,plain,
    ( spl0_104
  <=> op2(e22,e22) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1439,plain,
    ( op2(e22,e22) = e20
    | ~ spl0_104 ),
    inference(component_clause,[status(thm)],[f1438]) ).

fof(f1440,plain,
    ( op2(e22,e22) != e20
    | spl0_104 ),
    inference(component_clause,[status(thm)],[f1438]) ).

fof(f1441,plain,
    ( spl0_105
  <=> op2(e22,e22) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1442,plain,
    ( op2(e22,e22) = e21
    | ~ spl0_105 ),
    inference(component_clause,[status(thm)],[f1441]) ).

fof(f1444,plain,
    ( spl0_106
  <=> op2(e22,e22) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1445,plain,
    ( op2(e22,e22) = e22
    | ~ spl0_106 ),
    inference(component_clause,[status(thm)],[f1444]) ).

fof(f1446,plain,
    ( op2(e22,e22) != e22
    | spl0_106 ),
    inference(component_clause,[status(thm)],[f1444]) ).

fof(f1447,plain,
    ( spl0_107
  <=> op2(e22,e22) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1450,plain,
    ( spl0_104
    | spl0_105
    | spl0_106
    | spl0_107 ),
    inference(split_clause,[status(thm)],[f78,f1438,f1441,f1444,f1447]) ).

fof(f1451,plain,
    ( spl0_108
  <=> op2(e22,e23) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1452,plain,
    ( op2(e22,e23) = e20
    | ~ spl0_108 ),
    inference(component_clause,[status(thm)],[f1451]) ).

fof(f1454,plain,
    ( spl0_109
  <=> op2(e22,e23) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1455,plain,
    ( op2(e22,e23) = e21
    | ~ spl0_109 ),
    inference(component_clause,[status(thm)],[f1454]) ).

fof(f1457,plain,
    ( spl0_110
  <=> op2(e22,e23) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1460,plain,
    ( spl0_111
  <=> op2(e22,e23) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1461,plain,
    ( op2(e22,e23) = e23
    | ~ spl0_111 ),
    inference(component_clause,[status(thm)],[f1460]) ).

fof(f1463,plain,
    ( spl0_108
    | spl0_109
    | spl0_110
    | spl0_111 ),
    inference(split_clause,[status(thm)],[f79,f1451,f1454,f1457,f1460]) ).

fof(f1464,plain,
    ( spl0_112
  <=> op2(e23,e20) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1465,plain,
    ( op2(e23,e20) = e20
    | ~ spl0_112 ),
    inference(component_clause,[status(thm)],[f1464]) ).

fof(f1467,plain,
    ( spl0_113
  <=> op2(e23,e20) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1468,plain,
    ( op2(e23,e20) = e21
    | ~ spl0_113 ),
    inference(component_clause,[status(thm)],[f1467]) ).

fof(f1470,plain,
    ( spl0_114
  <=> op2(e23,e20) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1473,plain,
    ( spl0_115
  <=> op2(e23,e20) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1474,plain,
    ( op2(e23,e20) = e23
    | ~ spl0_115 ),
    inference(component_clause,[status(thm)],[f1473]) ).

fof(f1476,plain,
    ( spl0_112
    | spl0_113
    | spl0_114
    | spl0_115 ),
    inference(split_clause,[status(thm)],[f80,f1464,f1467,f1470,f1473]) ).

fof(f1477,plain,
    ( spl0_116
  <=> op2(e23,e21) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1478,plain,
    ( op2(e23,e21) = e20
    | ~ spl0_116 ),
    inference(component_clause,[status(thm)],[f1477]) ).

fof(f1479,plain,
    ( op2(e23,e21) != e20
    | spl0_116 ),
    inference(component_clause,[status(thm)],[f1477]) ).

fof(f1480,plain,
    ( spl0_117
  <=> op2(e23,e21) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1481,plain,
    ( op2(e23,e21) = e21
    | ~ spl0_117 ),
    inference(component_clause,[status(thm)],[f1480]) ).

fof(f1482,plain,
    ( op2(e23,e21) != e21
    | spl0_117 ),
    inference(component_clause,[status(thm)],[f1480]) ).

fof(f1483,plain,
    ( spl0_118
  <=> op2(e23,e21) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1484,plain,
    ( op2(e23,e21) = e22
    | ~ spl0_118 ),
    inference(component_clause,[status(thm)],[f1483]) ).

fof(f1486,plain,
    ( spl0_119
  <=> op2(e23,e21) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1487,plain,
    ( op2(e23,e21) = e23
    | ~ spl0_119 ),
    inference(component_clause,[status(thm)],[f1486]) ).

fof(f1489,plain,
    ( spl0_116
    | spl0_117
    | spl0_118
    | spl0_119 ),
    inference(split_clause,[status(thm)],[f81,f1477,f1480,f1483,f1486]) ).

fof(f1490,plain,
    ( spl0_120
  <=> op2(e23,e22) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1491,plain,
    ( op2(e23,e22) = e20
    | ~ spl0_120 ),
    inference(component_clause,[status(thm)],[f1490]) ).

fof(f1493,plain,
    ( spl0_121
  <=> op2(e23,e22) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1494,plain,
    ( op2(e23,e22) = e21
    | ~ spl0_121 ),
    inference(component_clause,[status(thm)],[f1493]) ).

fof(f1496,plain,
    ( spl0_122
  <=> op2(e23,e22) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1497,plain,
    ( op2(e23,e22) = e22
    | ~ spl0_122 ),
    inference(component_clause,[status(thm)],[f1496]) ).

fof(f1498,plain,
    ( op2(e23,e22) != e22
    | spl0_122 ),
    inference(component_clause,[status(thm)],[f1496]) ).

fof(f1499,plain,
    ( spl0_123
  <=> op2(e23,e22) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1500,plain,
    ( op2(e23,e22) = e23
    | ~ spl0_123 ),
    inference(component_clause,[status(thm)],[f1499]) ).

fof(f1502,plain,
    ( spl0_120
    | spl0_121
    | spl0_122
    | spl0_123 ),
    inference(split_clause,[status(thm)],[f82,f1490,f1493,f1496,f1499]) ).

fof(f1503,plain,
    ( spl0_124
  <=> op2(e23,e23) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1504,plain,
    ( op2(e23,e23) = e20
    | ~ spl0_124 ),
    inference(component_clause,[status(thm)],[f1503]) ).

fof(f1505,plain,
    ( op2(e23,e23) != e20
    | spl0_124 ),
    inference(component_clause,[status(thm)],[f1503]) ).

fof(f1506,plain,
    ( spl0_125
  <=> op2(e23,e23) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1507,plain,
    ( op2(e23,e23) = e21
    | ~ spl0_125 ),
    inference(component_clause,[status(thm)],[f1506]) ).

fof(f1509,plain,
    ( spl0_126
  <=> op2(e23,e23) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1510,plain,
    ( op2(e23,e23) = e22
    | ~ spl0_126 ),
    inference(component_clause,[status(thm)],[f1509]) ).

fof(f1512,plain,
    ( spl0_127
  <=> op2(e23,e23) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1513,plain,
    ( op2(e23,e23) = e23
    | ~ spl0_127 ),
    inference(component_clause,[status(thm)],[f1512]) ).

fof(f1515,plain,
    ( spl0_124
    | spl0_125
    | spl0_126
    | spl0_127 ),
    inference(split_clause,[status(thm)],[f83,f1503,f1506,f1509,f1512]) ).

fof(f1516,plain,
    ( spl0_64
    | spl0_68
    | spl0_72
    | spl0_76 ),
    inference(split_clause,[status(thm)],[f84,f1308,f1321,f1334,f1347]) ).

fof(f1517,plain,
    ( spl0_64
    | spl0_80
    | spl0_96
    | spl0_112 ),
    inference(split_clause,[status(thm)],[f85,f1308,f1360,f1412,f1464]) ).

fof(f1518,plain,
    ( spl0_65
    | spl0_69
    | spl0_73
    | spl0_77 ),
    inference(split_clause,[status(thm)],[f86,f1311,f1324,f1337,f1350]) ).

fof(f1520,plain,
    ( spl0_66
    | spl0_70
    | spl0_74
    | spl0_78 ),
    inference(split_clause,[status(thm)],[f88,f1314,f1327,f1340,f1353]) ).

fof(f1523,plain,
    ( spl0_67
    | spl0_83
    | spl0_99
    | spl0_115 ),
    inference(split_clause,[status(thm)],[f91,f1317,f1369,f1421,f1473]) ).

fof(f1524,plain,
    ( spl0_80
    | spl0_84
    | spl0_88
    | spl0_92 ),
    inference(split_clause,[status(thm)],[f92,f1360,f1373,f1386,f1399]) ).

fof(f1525,plain,
    ( spl0_68
    | spl0_84
    | spl0_100
    | spl0_116 ),
    inference(split_clause,[status(thm)],[f93,f1321,f1373,f1425,f1477]) ).

fof(f1526,plain,
    ( spl0_81
    | spl0_85
    | spl0_89
    | spl0_93 ),
    inference(split_clause,[status(thm)],[f94,f1363,f1376,f1389,f1402]) ).

fof(f1527,plain,
    ( spl0_69
    | spl0_85
    | spl0_101
    | spl0_117 ),
    inference(split_clause,[status(thm)],[f95,f1324,f1376,f1428,f1480]) ).

fof(f1528,plain,
    ( spl0_82
    | spl0_86
    | spl0_90
    | spl0_94 ),
    inference(split_clause,[status(thm)],[f96,f1366,f1379,f1392,f1405]) ).

fof(f1529,plain,
    ( spl0_70
    | spl0_86
    | spl0_102
    | spl0_118 ),
    inference(split_clause,[status(thm)],[f97,f1327,f1379,f1431,f1483]) ).

fof(f1530,plain,
    ( spl0_83
    | spl0_87
    | spl0_91
    | spl0_95 ),
    inference(split_clause,[status(thm)],[f98,f1369,f1382,f1395,f1408]) ).

fof(f1532,plain,
    ( spl0_96
    | spl0_100
    | spl0_104
    | spl0_108 ),
    inference(split_clause,[status(thm)],[f100,f1412,f1425,f1438,f1451]) ).

fof(f1533,plain,
    ( spl0_72
    | spl0_88
    | spl0_104
    | spl0_120 ),
    inference(split_clause,[status(thm)],[f101,f1334,f1386,f1438,f1490]) ).

fof(f1534,plain,
    ( spl0_97
    | spl0_101
    | spl0_105
    | spl0_109 ),
    inference(split_clause,[status(thm)],[f102,f1415,f1428,f1441,f1454]) ).

fof(f1535,plain,
    ( spl0_73
    | spl0_89
    | spl0_105
    | spl0_121 ),
    inference(split_clause,[status(thm)],[f103,f1337,f1389,f1441,f1493]) ).

fof(f1536,plain,
    ( spl0_98
    | spl0_102
    | spl0_106
    | spl0_110 ),
    inference(split_clause,[status(thm)],[f104,f1418,f1431,f1444,f1457]) ).

fof(f1537,plain,
    ( spl0_74
    | spl0_90
    | spl0_106
    | spl0_122 ),
    inference(split_clause,[status(thm)],[f105,f1340,f1392,f1444,f1496]) ).

fof(f1539,plain,
    ( spl0_75
    | spl0_91
    | spl0_107
    | spl0_123 ),
    inference(split_clause,[status(thm)],[f107,f1343,f1395,f1447,f1499]) ).

fof(f1540,plain,
    ( spl0_112
    | spl0_116
    | spl0_120
    | spl0_124 ),
    inference(split_clause,[status(thm)],[f108,f1464,f1477,f1490,f1503]) ).

fof(f1541,plain,
    ( spl0_76
    | spl0_92
    | spl0_108
    | spl0_124 ),
    inference(split_clause,[status(thm)],[f109,f1347,f1399,f1451,f1503]) ).

fof(f1542,plain,
    ( spl0_113
    | spl0_117
    | spl0_121
    | spl0_125 ),
    inference(split_clause,[status(thm)],[f110,f1467,f1480,f1493,f1506]) ).

fof(f1543,plain,
    ( spl0_77
    | spl0_93
    | spl0_109
    | spl0_125 ),
    inference(split_clause,[status(thm)],[f111,f1350,f1402,f1454,f1506]) ).

fof(f1545,plain,
    ( spl0_78
    | spl0_94
    | spl0_110
    | spl0_126 ),
    inference(split_clause,[status(thm)],[f113,f1353,f1405,f1457,f1509]) ).

fof(f1546,plain,
    ( spl0_115
    | spl0_119
    | spl0_123
    | spl0_127 ),
    inference(split_clause,[status(thm)],[f114,f1473,f1486,f1499,f1512]) ).

fof(f1547,plain,
    ( spl0_79
    | spl0_95
    | spl0_111
    | spl0_127 ),
    inference(split_clause,[status(thm)],[f115,f1356,f1408,f1460,f1512]) ).

fof(f1548,plain,
    ( spl0_128
  <=> pd0_0 ),
    introduced(split_symbol_definition) ).

fof(f1551,plain,
    ( spl0_128
    | spl0_63 ),
    inference(split_clause,[status(thm)],[f245,f1548,f1272]) ).

fof(f1553,plain,
    ( spl0_128
    | ~ spl0_12 ),
    inference(split_clause,[status(thm)],[f247,f1548,f1107]) ).

fof(f1554,plain,
    ( spl0_128
    | ~ spl0_29 ),
    inference(split_clause,[status(thm)],[f248,f1548,f1162]) ).

fof(f1556,plain,
    ( spl0_128
    | ~ spl0_63 ),
    inference(split_clause,[status(thm)],[f250,f1548,f1272]) ).

fof(f1557,plain,
    ( spl0_129
  <=> pd0_1 ),
    introduced(split_symbol_definition) ).

fof(f1560,plain,
    ( spl0_130
  <=> op1(e13,e13) = op1(e13,e13) ),
    introduced(split_symbol_definition) ).

fof(f1563,plain,
    ( spl0_129
    | spl0_130 ),
    inference(split_clause,[status(thm)],[f251,f1557,f1560]) ).

fof(f1564,plain,
    ( spl0_129
    | ~ spl0_130 ),
    inference(split_clause,[status(thm)],[f252,f1557,f1560]) ).

fof(f1565,plain,
    ( spl0_131
  <=> op1(e13,op1(e13,e13)) = e13 ),
    introduced(split_symbol_definition) ).

fof(f1566,plain,
    ( op1(e13,op1(e13,e13)) = e13
    | ~ spl0_131 ),
    inference(component_clause,[status(thm)],[f1565]) ).

fof(f1568,plain,
    ( spl0_129
    | spl0_131 ),
    inference(split_clause,[status(thm)],[f253,f1557,f1565]) ).

fof(f1569,plain,
    ( spl0_132
  <=> pd0_2 ),
    introduced(split_symbol_definition) ).

fof(f1572,plain,
    ( spl0_132
    | spl0_63 ),
    inference(split_clause,[status(thm)],[f254,f1569,f1272]) ).

fof(f1576,plain,
    ( spl0_132
    | ~ spl0_63 ),
    inference(split_clause,[status(thm)],[f258,f1569,f1272]) ).

fof(f1577,plain,
    ( spl0_133
  <=> pd0_3 ),
    introduced(split_symbol_definition) ).

fof(f1580,plain,
    ( spl0_133
    | spl0_127 ),
    inference(split_clause,[status(thm)],[f264,f1577,f1512]) ).

fof(f1582,plain,
    ( spl0_133
    | ~ spl0_76 ),
    inference(split_clause,[status(thm)],[f266,f1577,f1347]) ).

fof(f1583,plain,
    ( spl0_133
    | ~ spl0_93 ),
    inference(split_clause,[status(thm)],[f267,f1577,f1402]) ).

fof(f1584,plain,
    ( spl0_133
    | ~ spl0_110 ),
    inference(split_clause,[status(thm)],[f268,f1577,f1457]) ).

fof(f1585,plain,
    ( spl0_133
    | ~ spl0_127 ),
    inference(split_clause,[status(thm)],[f269,f1577,f1512]) ).

fof(f1586,plain,
    ( spl0_134
  <=> pd0_4 ),
    introduced(split_symbol_definition) ).

fof(f1589,plain,
    ( spl0_135
  <=> op2(e23,e23) = op2(e23,e23) ),
    introduced(split_symbol_definition) ).

fof(f1592,plain,
    ( spl0_134
    | spl0_135 ),
    inference(split_clause,[status(thm)],[f270,f1586,f1589]) ).

fof(f1593,plain,
    ( spl0_134
    | ~ spl0_135 ),
    inference(split_clause,[status(thm)],[f271,f1586,f1589]) ).

fof(f1594,plain,
    ( spl0_136
  <=> op2(e23,op2(e23,e23)) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1595,plain,
    ( op2(e23,op2(e23,e23)) = e23
    | ~ spl0_136 ),
    inference(component_clause,[status(thm)],[f1594]) ).

fof(f1597,plain,
    ( spl0_134
    | spl0_136 ),
    inference(split_clause,[status(thm)],[f272,f1586,f1594]) ).

fof(f1598,plain,
    ( spl0_137
  <=> pd0_5 ),
    introduced(split_symbol_definition) ).

fof(f1601,plain,
    ( spl0_137
    | spl0_127 ),
    inference(split_clause,[status(thm)],[f273,f1598,f1512]) ).

fof(f1605,plain,
    ( spl0_137
    | ~ spl0_127 ),
    inference(split_clause,[status(thm)],[f277,f1598,f1512]) ).

fof(f1606,plain,
    ( spl0_138
  <=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1608,plain,
    ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
    | spl0_138 ),
    inference(component_clause,[status(thm)],[f1606]) ).

fof(f1609,plain,
    ( spl0_139
  <=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1611,plain,
    ( h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
    | spl0_139 ),
    inference(component_clause,[status(thm)],[f1609]) ).

fof(f1612,plain,
    ( spl0_140
  <=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1614,plain,
    ( h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
    | spl0_140 ),
    inference(component_clause,[status(thm)],[f1612]) ).

fof(f1615,plain,
    ( spl0_141
  <=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1617,plain,
    ( h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
    | spl0_141 ),
    inference(component_clause,[status(thm)],[f1615]) ).

fof(f1618,plain,
    ( spl0_142
  <=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1620,plain,
    ( h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
    | spl0_142 ),
    inference(component_clause,[status(thm)],[f1618]) ).

fof(f1621,plain,
    ( spl0_143
  <=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1623,plain,
    ( h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
    | spl0_143 ),
    inference(component_clause,[status(thm)],[f1621]) ).

fof(f1624,plain,
    ( spl0_144
  <=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1626,plain,
    ( h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
    | spl0_144 ),
    inference(component_clause,[status(thm)],[f1624]) ).

fof(f1627,plain,
    ( spl0_145
  <=> h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1629,plain,
    ( h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
    | spl0_145 ),
    inference(component_clause,[status(thm)],[f1627]) ).

fof(f1630,plain,
    ( spl0_146
  <=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1632,plain,
    ( h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
    | spl0_146 ),
    inference(component_clause,[status(thm)],[f1630]) ).

fof(f1633,plain,
    ( spl0_147
  <=> h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1634,plain,
    ( h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
    | ~ spl0_147 ),
    inference(component_clause,[status(thm)],[f1633]) ).

fof(f1635,plain,
    ( h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
    | spl0_147 ),
    inference(component_clause,[status(thm)],[f1633]) ).

fof(f1636,plain,
    ( spl0_148
  <=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1638,plain,
    ( h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | spl0_148 ),
    inference(component_clause,[status(thm)],[f1636]) ).

fof(f1639,plain,
    ( spl0_149
  <=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1641,plain,
    ( h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | spl0_149 ),
    inference(component_clause,[status(thm)],[f1639]) ).

fof(f1642,plain,
    ( spl0_150
  <=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1644,plain,
    ( h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | spl0_150 ),
    inference(component_clause,[status(thm)],[f1642]) ).

fof(f1645,plain,
    ( spl0_151
  <=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1647,plain,
    ( h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | spl0_151 ),
    inference(component_clause,[status(thm)],[f1645]) ).

fof(f1648,plain,
    ( spl0_152
  <=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1650,plain,
    ( h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | spl0_152 ),
    inference(component_clause,[status(thm)],[f1648]) ).

fof(f1651,plain,
    ( spl0_153
  <=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1653,plain,
    ( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | spl0_153 ),
    inference(component_clause,[status(thm)],[f1651]) ).

fof(f1654,plain,
    ( spl0_154
  <=> pd0_6 ),
    introduced(split_symbol_definition) ).

fof(f1657,plain,
    ( spl0_155
  <=> pd0_7 ),
    introduced(split_symbol_definition) ).

fof(f1660,plain,
    ( spl0_156
  <=> pd0_8 ),
    introduced(split_symbol_definition) ).

fof(f1671,plain,
    ( spl0_159
  <=> h1(e12) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1672,plain,
    ( h1(e12) = e23
    | ~ spl0_159 ),
    inference(component_clause,[status(thm)],[f1671]) ).

fof(f1675,plain,
    ( spl0_160
  <=> h1(e13) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1677,plain,
    ( h1(e13) != e23
    | spl0_160 ),
    inference(component_clause,[status(thm)],[f1675]) ).

fof(f1678,plain,
    ( ~ spl0_138
    | ~ spl0_139
    | ~ spl0_140
    | ~ spl0_141
    | ~ spl0_142
    | ~ spl0_143
    | ~ spl0_144
    | ~ spl0_145
    | ~ spl0_146
    | ~ spl0_147
    | ~ spl0_148
    | ~ spl0_149
    | ~ spl0_150
    | ~ spl0_151
    | ~ spl0_152
    | ~ spl0_153
    | spl0_154
    | spl0_155
    | spl0_156
    | ~ spl0_160 ),
    inference(split_clause,[status(thm)],[f317,f1606,f1609,f1612,f1615,f1618,f1621,f1624,f1627,f1630,f1633,f1636,f1639,f1642,f1645,f1648,f1651,f1654,f1657,f1660,f1675]) ).

fof(f1679,plain,
    ( spl0_161
  <=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1680,plain,
    ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
    | ~ spl0_161 ),
    inference(component_clause,[status(thm)],[f1679]) ).

fof(f1681,plain,
    ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
    | spl0_161 ),
    inference(component_clause,[status(thm)],[f1679]) ).

fof(f1682,plain,
    ( spl0_162
  <=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1683,plain,
    ( h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
    | ~ spl0_162 ),
    inference(component_clause,[status(thm)],[f1682]) ).

fof(f1684,plain,
    ( h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
    | spl0_162 ),
    inference(component_clause,[status(thm)],[f1682]) ).

fof(f1685,plain,
    ( spl0_163
  <=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1687,plain,
    ( h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
    | spl0_163 ),
    inference(component_clause,[status(thm)],[f1685]) ).

fof(f1688,plain,
    ( spl0_164
  <=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1690,plain,
    ( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
    | spl0_164 ),
    inference(component_clause,[status(thm)],[f1688]) ).

fof(f1691,plain,
    ( spl0_165
  <=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1692,plain,
    ( h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
    | ~ spl0_165 ),
    inference(component_clause,[status(thm)],[f1691]) ).

fof(f1693,plain,
    ( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
    | spl0_165 ),
    inference(component_clause,[status(thm)],[f1691]) ).

fof(f1694,plain,
    ( spl0_166
  <=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1696,plain,
    ( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
    | spl0_166 ),
    inference(component_clause,[status(thm)],[f1694]) ).

fof(f1697,plain,
    ( spl0_167
  <=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1699,plain,
    ( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
    | spl0_167 ),
    inference(component_clause,[status(thm)],[f1697]) ).

fof(f1700,plain,
    ( spl0_168
  <=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1702,plain,
    ( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
    | spl0_168 ),
    inference(component_clause,[status(thm)],[f1700]) ).

fof(f1703,plain,
    ( spl0_169
  <=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1705,plain,
    ( h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
    | spl0_169 ),
    inference(component_clause,[status(thm)],[f1703]) ).

fof(f1706,plain,
    ( spl0_170
  <=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1707,plain,
    ( h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
    | ~ spl0_170 ),
    inference(component_clause,[status(thm)],[f1706]) ).

fof(f1708,plain,
    ( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
    | spl0_170 ),
    inference(component_clause,[status(thm)],[f1706]) ).

fof(f1709,plain,
    ( spl0_171
  <=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1711,plain,
    ( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
    | spl0_171 ),
    inference(component_clause,[status(thm)],[f1709]) ).

fof(f1712,plain,
    ( spl0_172
  <=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1714,plain,
    ( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
    | spl0_172 ),
    inference(component_clause,[status(thm)],[f1712]) ).

fof(f1715,plain,
    ( spl0_173
  <=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1717,plain,
    ( h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
    | spl0_173 ),
    inference(component_clause,[status(thm)],[f1715]) ).

fof(f1718,plain,
    ( spl0_174
  <=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1720,plain,
    ( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
    | spl0_174 ),
    inference(component_clause,[status(thm)],[f1718]) ).

fof(f1721,plain,
    ( spl0_175
  <=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1723,plain,
    ( h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
    | spl0_175 ),
    inference(component_clause,[status(thm)],[f1721]) ).

fof(f1724,plain,
    ( spl0_176
  <=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1726,plain,
    ( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
    | spl0_176 ),
    inference(component_clause,[status(thm)],[f1724]) ).

fof(f1727,plain,
    ( spl0_177
  <=> pd0_9 ),
    introduced(split_symbol_definition) ).

fof(f1730,plain,
    ( spl0_178
  <=> pd0_10 ),
    introduced(split_symbol_definition) ).

fof(f1733,plain,
    ( spl0_179
  <=> pd0_11 ),
    introduced(split_symbol_definition) ).

fof(f1736,plain,
    ( spl0_180
  <=> h2(e10) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1739,plain,
    ( ~ spl0_161
    | ~ spl0_162
    | ~ spl0_163
    | ~ spl0_164
    | ~ spl0_165
    | ~ spl0_166
    | ~ spl0_167
    | ~ spl0_168
    | ~ spl0_169
    | ~ spl0_170
    | ~ spl0_171
    | ~ spl0_172
    | ~ spl0_173
    | ~ spl0_174
    | ~ spl0_175
    | ~ spl0_176
    | spl0_177
    | spl0_178
    | spl0_179
    | ~ spl0_180 ),
    inference(split_clause,[status(thm)],[f318,f1679,f1682,f1685,f1688,f1691,f1694,f1697,f1700,f1703,f1706,f1709,f1712,f1715,f1718,f1721,f1724,f1727,f1730,f1733,f1736]) ).

fof(f1740,plain,
    ( spl0_181
  <=> h2(e11) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1743,plain,
    ( ~ spl0_161
    | ~ spl0_162
    | ~ spl0_163
    | ~ spl0_164
    | ~ spl0_165
    | ~ spl0_166
    | ~ spl0_167
    | ~ spl0_168
    | ~ spl0_169
    | ~ spl0_170
    | ~ spl0_171
    | ~ spl0_172
    | ~ spl0_173
    | ~ spl0_174
    | ~ spl0_175
    | ~ spl0_176
    | spl0_177
    | spl0_178
    | spl0_179
    | ~ spl0_181 ),
    inference(split_clause,[status(thm)],[f319,f1679,f1682,f1685,f1688,f1691,f1694,f1697,f1700,f1703,f1706,f1709,f1712,f1715,f1718,f1721,f1724,f1727,f1730,f1733,f1740]) ).

fof(f1744,plain,
    ( spl0_182
  <=> h2(e12) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1747,plain,
    ( ~ spl0_161
    | ~ spl0_162
    | ~ spl0_163
    | ~ spl0_164
    | ~ spl0_165
    | ~ spl0_166
    | ~ spl0_167
    | ~ spl0_168
    | ~ spl0_169
    | ~ spl0_170
    | ~ spl0_171
    | ~ spl0_172
    | ~ spl0_173
    | ~ spl0_174
    | ~ spl0_175
    | ~ spl0_176
    | spl0_177
    | spl0_178
    | spl0_179
    | ~ spl0_182 ),
    inference(split_clause,[status(thm)],[f320,f1679,f1682,f1685,f1688,f1691,f1694,f1697,f1700,f1703,f1706,f1709,f1712,f1715,f1718,f1721,f1724,f1727,f1730,f1733,f1744]) ).

fof(f1748,plain,
    ( spl0_183
  <=> h2(e13) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1749,plain,
    ( h2(e13) = e23
    | ~ spl0_183 ),
    inference(component_clause,[status(thm)],[f1748]) ).

fof(f1750,plain,
    ( h2(e13) != e23
    | spl0_183 ),
    inference(component_clause,[status(thm)],[f1748]) ).

fof(f1752,plain,
    ( spl0_184
  <=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1754,plain,
    ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
    | spl0_184 ),
    inference(component_clause,[status(thm)],[f1752]) ).

fof(f1755,plain,
    ( spl0_185
  <=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1757,plain,
    ( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | spl0_185 ),
    inference(component_clause,[status(thm)],[f1755]) ).

fof(f1758,plain,
    ( spl0_186
  <=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1760,plain,
    ( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
    | spl0_186 ),
    inference(component_clause,[status(thm)],[f1758]) ).

fof(f1761,plain,
    ( spl0_187
  <=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1763,plain,
    ( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
    | spl0_187 ),
    inference(component_clause,[status(thm)],[f1761]) ).

fof(f1764,plain,
    ( spl0_188
  <=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1766,plain,
    ( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | spl0_188 ),
    inference(component_clause,[status(thm)],[f1764]) ).

fof(f1767,plain,
    ( spl0_189
  <=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1769,plain,
    ( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | spl0_189 ),
    inference(component_clause,[status(thm)],[f1767]) ).

fof(f1770,plain,
    ( spl0_190
  <=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1772,plain,
    ( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
    | spl0_190 ),
    inference(component_clause,[status(thm)],[f1770]) ).

fof(f1773,plain,
    ( spl0_191
  <=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1775,plain,
    ( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
    | spl0_191 ),
    inference(component_clause,[status(thm)],[f1773]) ).

fof(f1776,plain,
    ( spl0_192
  <=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1778,plain,
    ( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
    | spl0_192 ),
    inference(component_clause,[status(thm)],[f1776]) ).

fof(f1779,plain,
    ( spl0_193
  <=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1781,plain,
    ( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
    | spl0_193 ),
    inference(component_clause,[status(thm)],[f1779]) ).

fof(f1782,plain,
    ( spl0_194
  <=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1784,plain,
    ( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
    | spl0_194 ),
    inference(component_clause,[status(thm)],[f1782]) ).

fof(f1785,plain,
    ( spl0_195
  <=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1787,plain,
    ( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
    | spl0_195 ),
    inference(component_clause,[status(thm)],[f1785]) ).

fof(f1788,plain,
    ( spl0_196
  <=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1789,plain,
    ( h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
    | ~ spl0_196 ),
    inference(component_clause,[status(thm)],[f1788]) ).

fof(f1790,plain,
    ( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
    | spl0_196 ),
    inference(component_clause,[status(thm)],[f1788]) ).

fof(f1791,plain,
    ( spl0_197
  <=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1793,plain,
    ( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
    | spl0_197 ),
    inference(component_clause,[status(thm)],[f1791]) ).

fof(f1794,plain,
    ( spl0_198
  <=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1795,plain,
    ( h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
    | ~ spl0_198 ),
    inference(component_clause,[status(thm)],[f1794]) ).

fof(f1796,plain,
    ( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
    | spl0_198 ),
    inference(component_clause,[status(thm)],[f1794]) ).

fof(f1797,plain,
    ( spl0_199
  <=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1799,plain,
    ( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
    | spl0_199 ),
    inference(component_clause,[status(thm)],[f1797]) ).

fof(f1800,plain,
    ( spl0_200
  <=> pd0_12 ),
    introduced(split_symbol_definition) ).

fof(f1803,plain,
    ( spl0_201
  <=> pd0_13 ),
    introduced(split_symbol_definition) ).

fof(f1806,plain,
    ( spl0_202
  <=> pd0_14 ),
    introduced(split_symbol_definition) ).

fof(f1821,plain,
    ( spl0_206
  <=> h3(e13) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1823,plain,
    ( h3(e13) != e23
    | spl0_206 ),
    inference(component_clause,[status(thm)],[f1821]) ).

fof(f1825,plain,
    ( spl0_207
  <=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1827,plain,
    ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | spl0_207 ),
    inference(component_clause,[status(thm)],[f1825]) ).

fof(f1828,plain,
    ( spl0_208
  <=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1830,plain,
    ( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
    | spl0_208 ),
    inference(component_clause,[status(thm)],[f1828]) ).

fof(f1831,plain,
    ( spl0_209
  <=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1833,plain,
    ( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | spl0_209 ),
    inference(component_clause,[status(thm)],[f1831]) ).

fof(f1837,plain,
    ( spl0_211
  <=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1839,plain,
    ( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
    | spl0_211 ),
    inference(component_clause,[status(thm)],[f1837]) ).

fof(f1840,plain,
    ( spl0_212
  <=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1842,plain,
    ( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | spl0_212 ),
    inference(component_clause,[status(thm)],[f1840]) ).

fof(f1861,plain,
    ( spl0_219
  <=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1863,plain,
    ( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    | spl0_219 ),
    inference(component_clause,[status(thm)],[f1861]) ).

fof(f1864,plain,
    ( spl0_220
  <=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1866,plain,
    ( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
    | spl0_220 ),
    inference(component_clause,[status(thm)],[f1864]) ).

fof(f1870,plain,
    ( spl0_222
  <=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1872,plain,
    ( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
    | spl0_222 ),
    inference(component_clause,[status(thm)],[f1870]) ).

fof(f1873,plain,
    ( spl0_223
  <=> pd0_15 ),
    introduced(split_symbol_definition) ).

fof(f1876,plain,
    ( spl0_224
  <=> pd0_16 ),
    introduced(split_symbol_definition) ).

fof(f1879,plain,
    ( spl0_225
  <=> pd0_17 ),
    introduced(split_symbol_definition) ).

fof(f1882,plain,
    ( spl0_226
  <=> h4(e10) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1883,plain,
    ( h4(e10) = e23
    | ~ spl0_226 ),
    inference(component_clause,[status(thm)],[f1882]) ).

fof(f1884,plain,
    ( h4(e10) != e23
    | spl0_226 ),
    inference(component_clause,[status(thm)],[f1882]) ).

fof(f1886,plain,
    ( spl0_227
  <=> h4(e11) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1887,plain,
    ( h4(e11) = e23
    | ~ spl0_227 ),
    inference(component_clause,[status(thm)],[f1886]) ).

fof(f1888,plain,
    ( h4(e11) != e23
    | spl0_227 ),
    inference(component_clause,[status(thm)],[f1886]) ).

fof(f1890,plain,
    ( spl0_228
  <=> h4(e12) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1892,plain,
    ( h4(e12) != e23
    | spl0_228 ),
    inference(component_clause,[status(thm)],[f1890]) ).

fof(f1894,plain,
    ( spl0_229
  <=> h4(e13) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1895,plain,
    ( h4(e13) = e23
    | ~ spl0_229 ),
    inference(component_clause,[status(thm)],[f1894]) ).

fof(f1896,plain,
    ( h4(e13) != e23
    | spl0_229 ),
    inference(component_clause,[status(thm)],[f1894]) ).

fof(f1898,plain,
    ( spl0_230
  <=> pd0_18 ),
    introduced(split_symbol_definition) ).

fof(f1901,plain,
    ( ~ spl0_128
    | spl0_230
    | spl0_59 ),
    inference(split_clause,[status(thm)],[f333,f1548,f1898,f1259]) ).

fof(f1902,plain,
    ( ~ spl0_128
    | spl0_230
    | spl0_47 ),
    inference(split_clause,[status(thm)],[f334,f1548,f1898,f1220]) ).

fof(f1903,plain,
    ( ~ spl0_128
    | spl0_230
    | ~ spl0_12 ),
    inference(split_clause,[status(thm)],[f335,f1548,f1898,f1107]) ).

fof(f1904,plain,
    ( ~ spl0_128
    | spl0_230
    | ~ spl0_29 ),
    inference(split_clause,[status(thm)],[f336,f1548,f1898,f1162]) ).

fof(f1906,plain,
    ( ~ spl0_128
    | spl0_230
    | ~ spl0_63 ),
    inference(split_clause,[status(thm)],[f338,f1548,f1898,f1272]) ).

fof(f1907,plain,
    ( spl0_231
  <=> pd0_19 ),
    introduced(split_symbol_definition) ).

fof(f1910,plain,
    ( spl0_232
  <=> op1(e12,e13) = op1(e13,e12) ),
    introduced(split_symbol_definition) ).

fof(f1911,plain,
    ( op1(e12,e13) = op1(e13,e12)
    | ~ spl0_232 ),
    inference(component_clause,[status(thm)],[f1910]) ).

fof(f1912,plain,
    ( op1(e12,e13) != op1(e13,e12)
    | spl0_232 ),
    inference(component_clause,[status(thm)],[f1910]) ).

fof(f1913,plain,
    ( ~ spl0_129
    | spl0_231
    | spl0_232 ),
    inference(split_clause,[status(thm)],[f342,f1557,f1907,f1910]) ).

fof(f1918,plain,
    ( spl0_234
  <=> op1(e12,op1(e13,e12)) = e12 ),
    introduced(split_symbol_definition) ).

fof(f1919,plain,
    ( op1(e12,op1(e13,e12)) = e12
    | ~ spl0_234 ),
    inference(component_clause,[status(thm)],[f1918]) ).

fof(f1920,plain,
    ( op1(e12,op1(e13,e12)) != e12
    | spl0_234 ),
    inference(component_clause,[status(thm)],[f1918]) ).

fof(f1922,plain,
    ( spl0_235
  <=> pd0_20 ),
    introduced(split_symbol_definition) ).

fof(f1925,plain,
    ( ~ spl0_132
    | spl0_235
    | spl0_62 ),
    inference(split_clause,[status(thm)],[f348,f1569,f1922,f1269]) ).

fof(f1930,plain,
    ( spl0_236
  <=> pd0_21 ),
    introduced(split_symbol_definition) ).

fof(f1933,plain,
    ( ~ spl0_133
    | spl0_236
    | spl0_123 ),
    inference(split_clause,[status(thm)],[f356,f1577,f1930,f1499]) ).

fof(f1934,plain,
    ( ~ spl0_133
    | spl0_236
    | spl0_111 ),
    inference(split_clause,[status(thm)],[f357,f1577,f1930,f1460]) ).

fof(f1935,plain,
    ( ~ spl0_133
    | spl0_236
    | ~ spl0_76 ),
    inference(split_clause,[status(thm)],[f358,f1577,f1930,f1347]) ).

fof(f1936,plain,
    ( ~ spl0_133
    | spl0_236
    | ~ spl0_93 ),
    inference(split_clause,[status(thm)],[f359,f1577,f1930,f1402]) ).

fof(f1939,plain,
    ( spl0_237
  <=> pd0_22 ),
    introduced(split_symbol_definition) ).

fof(f1942,plain,
    ( spl0_238
  <=> op2(e22,e23) = op2(e23,e22) ),
    introduced(split_symbol_definition) ).

fof(f1943,plain,
    ( op2(e22,e23) = op2(e23,e22)
    | ~ spl0_238 ),
    inference(component_clause,[status(thm)],[f1942]) ).

fof(f1944,plain,
    ( op2(e22,e23) != op2(e23,e22)
    | spl0_238 ),
    inference(component_clause,[status(thm)],[f1942]) ).

fof(f1945,plain,
    ( ~ spl0_134
    | spl0_237
    | spl0_238 ),
    inference(split_clause,[status(thm)],[f365,f1586,f1939,f1942]) ).

fof(f1946,plain,
    ( spl0_239
  <=> op2(e22,e22) = op2(e23,e22) ),
    introduced(split_symbol_definition) ).

fof(f1947,plain,
    ( op2(e22,e22) = op2(e23,e22)
    | ~ spl0_239 ),
    inference(component_clause,[status(thm)],[f1946]) ).

fof(f1948,plain,
    ( op2(e22,e22) != op2(e23,e22)
    | spl0_239 ),
    inference(component_clause,[status(thm)],[f1946]) ).

fof(f1950,plain,
    ( spl0_240
  <=> op2(e22,op2(e23,e22)) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1953,plain,
    ( ~ spl0_134
    | spl0_237
    | spl0_240 ),
    inference(split_clause,[status(thm)],[f367,f1586,f1939,f1950]) ).

fof(f1954,plain,
    ( spl0_241
  <=> pd0_23 ),
    introduced(split_symbol_definition) ).

fof(f1957,plain,
    ( ~ spl0_137
    | spl0_241
    | spl0_126 ),
    inference(split_clause,[status(thm)],[f371,f1598,f1954,f1509]) ).

fof(f1959,plain,
    ( ~ spl0_137
    | spl0_241
    | ~ spl0_126
    | ~ spl0_121
    | ~ spl0_109 ),
    inference(split_clause,[status(thm)],[f373,f1598,f1954,f1509,f1493,f1454]) ).

fof(f1961,plain,
    ( ~ spl0_137
    | spl0_241
    | ~ spl0_126
    | ~ spl0_123
    | ~ spl0_111 ),
    inference(split_clause,[status(thm)],[f375,f1598,f1954,f1509,f1499,f1460]) ).

fof(f1962,plain,
    ( spl0_242
  <=> h1(e10) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1963,plain,
    ( h1(e10) = e20
    | ~ spl0_242 ),
    inference(component_clause,[status(thm)],[f1962]) ).

fof(f1964,plain,
    ( h1(e10) != e20
    | spl0_242 ),
    inference(component_clause,[status(thm)],[f1962]) ).

fof(f1965,plain,
    ( ~ spl0_154
    | ~ spl0_242 ),
    inference(split_clause,[status(thm)],[f377,f1654,f1962]) ).

fof(f1970,plain,
    ( spl0_244
  <=> h1(e12) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1971,plain,
    ( h1(e12) = e20
    | ~ spl0_244 ),
    inference(component_clause,[status(thm)],[f1970]) ).

fof(f1972,plain,
    ( h1(e12) != e20
    | spl0_244 ),
    inference(component_clause,[status(thm)],[f1970]) ).

fof(f1982,plain,
    ( spl0_247
  <=> h1(e11) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1983,plain,
    ( h1(e11) = e21
    | ~ spl0_247 ),
    inference(component_clause,[status(thm)],[f1982]) ).

fof(f1984,plain,
    ( h1(e11) != e21
    | spl0_247 ),
    inference(component_clause,[status(thm)],[f1982]) ).

fof(f1985,plain,
    ( ~ spl0_155
    | ~ spl0_247 ),
    inference(split_clause,[status(thm)],[f383,f1657,f1982]) ).

fof(f1986,plain,
    ( spl0_248
  <=> h1(e12) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1987,plain,
    ( h1(e12) = e21
    | ~ spl0_248 ),
    inference(component_clause,[status(thm)],[f1986]) ).

fof(f1988,plain,
    ( h1(e12) != e21
    | spl0_248 ),
    inference(component_clause,[status(thm)],[f1986]) ).

fof(f2002,plain,
    ( spl0_252
  <=> h1(e12) = e22 ),
    introduced(split_symbol_definition) ).

fof(f2003,plain,
    ( h1(e12) = e22
    | ~ spl0_252 ),
    inference(component_clause,[status(thm)],[f2002]) ).

fof(f2004,plain,
    ( h1(e12) != e22
    | spl0_252 ),
    inference(component_clause,[status(thm)],[f2002]) ).

fof(f2005,plain,
    ( ~ spl0_156
    | ~ spl0_252 ),
    inference(split_clause,[status(thm)],[f389,f1660,f2002]) ).

fof(f2010,plain,
    ( spl0_254
  <=> h2(e10) = e20 ),
    introduced(split_symbol_definition) ).

fof(f2013,plain,
    ( ~ spl0_177
    | ~ spl0_254 ),
    inference(split_clause,[status(thm)],[f392,f1727,f2010]) ).

fof(f2014,plain,
    ( spl0_255
  <=> h2(e11) = e20 ),
    introduced(split_symbol_definition) ).

fof(f2015,plain,
    ( h2(e11) = e20
    | ~ spl0_255 ),
    inference(component_clause,[status(thm)],[f2014]) ).

fof(f2016,plain,
    ( h2(e11) != e20
    | spl0_255 ),
    inference(component_clause,[status(thm)],[f2014]) ).

fof(f2017,plain,
    ( ~ spl0_177
    | ~ spl0_255 ),
    inference(split_clause,[status(thm)],[f393,f1727,f2014]) ).

fof(f2018,plain,
    ( spl0_256
  <=> h2(e12) = e20 ),
    introduced(split_symbol_definition) ).

fof(f2021,plain,
    ( ~ spl0_177
    | ~ spl0_256 ),
    inference(split_clause,[status(thm)],[f394,f1727,f2018]) ).

fof(f2022,plain,
    ( spl0_257
  <=> h2(e13) = e20 ),
    introduced(split_symbol_definition) ).

fof(f2025,plain,
    ( ~ spl0_177
    | ~ spl0_257 ),
    inference(split_clause,[status(thm)],[f395,f1727,f2022]) ).

fof(f2026,plain,
    ( spl0_258
  <=> h2(e10) = e21 ),
    introduced(split_symbol_definition) ).

fof(f2027,plain,
    ( h2(e10) = e21
    | ~ spl0_258 ),
    inference(component_clause,[status(thm)],[f2026]) ).

fof(f2028,plain,
    ( h2(e10) != e21
    | spl0_258 ),
    inference(component_clause,[status(thm)],[f2026]) ).

fof(f2029,plain,
    ( ~ spl0_178
    | ~ spl0_258 ),
    inference(split_clause,[status(thm)],[f397,f1730,f2026]) ).

fof(f2038,plain,
    ( spl0_261
  <=> h2(e13) = e21 ),
    introduced(split_symbol_definition) ).

fof(f2039,plain,
    ( h2(e13) = e21
    | ~ spl0_261 ),
    inference(component_clause,[status(thm)],[f2038]) ).

fof(f2040,plain,
    ( h2(e13) != e21
    | spl0_261 ),
    inference(component_clause,[status(thm)],[f2038]) ).

fof(f2046,plain,
    ( spl0_263
  <=> h2(e11) = e22 ),
    introduced(split_symbol_definition) ).

fof(f2048,plain,
    ( h2(e11) != e22
    | spl0_263 ),
    inference(component_clause,[status(thm)],[f2046]) ).

fof(f2049,plain,
    ( ~ spl0_179
    | ~ spl0_263 ),
    inference(split_clause,[status(thm)],[f403,f1733,f2046]) ).

fof(f2050,plain,
    ( spl0_264
  <=> h2(e12) = e22 ),
    introduced(split_symbol_definition) ).

fof(f2052,plain,
    ( h2(e12) != e22
    | spl0_264 ),
    inference(component_clause,[status(thm)],[f2050]) ).

fof(f2053,plain,
    ( ~ spl0_179
    | ~ spl0_264 ),
    inference(split_clause,[status(thm)],[f404,f1733,f2050]) ).

fof(f2058,plain,
    ( spl0_266
  <=> h3(e10) = e20 ),
    introduced(split_symbol_definition) ).

fof(f2061,plain,
    ( ~ spl0_200
    | ~ spl0_266 ),
    inference(split_clause,[status(thm)],[f407,f1800,f2058]) ).

fof(f2062,plain,
    ( spl0_267
  <=> h3(e11) = e20 ),
    introduced(split_symbol_definition) ).

fof(f2063,plain,
    ( h3(e11) = e20
    | ~ spl0_267 ),
    inference(component_clause,[status(thm)],[f2062]) ).

fof(f2064,plain,
    ( h3(e11) != e20
    | spl0_267 ),
    inference(component_clause,[status(thm)],[f2062]) ).

fof(f2065,plain,
    ( ~ spl0_200
    | ~ spl0_267 ),
    inference(split_clause,[status(thm)],[f408,f1800,f2062]) ).

fof(f2066,plain,
    ( spl0_268
  <=> h3(e12) = e20 ),
    introduced(split_symbol_definition) ).

fof(f2069,plain,
    ( ~ spl0_200
    | ~ spl0_268 ),
    inference(split_clause,[status(thm)],[f409,f1800,f2066]) ).

fof(f2070,plain,
    ( spl0_269
  <=> h3(e13) = e20 ),
    introduced(split_symbol_definition) ).

fof(f2072,plain,
    ( h3(e13) != e20
    | spl0_269 ),
    inference(component_clause,[status(thm)],[f2070]) ).

fof(f2073,plain,
    ( ~ spl0_200
    | ~ spl0_269 ),
    inference(split_clause,[status(thm)],[f410,f1800,f2070]) ).

fof(f2078,plain,
    ( spl0_271
  <=> h3(e11) = e21 ),
    introduced(split_symbol_definition) ).

fof(f2079,plain,
    ( h3(e11) = e21
    | ~ spl0_271 ),
    inference(component_clause,[status(thm)],[f2078]) ).

fof(f2080,plain,
    ( h3(e11) != e21
    | spl0_271 ),
    inference(component_clause,[status(thm)],[f2078]) ).

fof(f2081,plain,
    ( ~ spl0_201
    | ~ spl0_271 ),
    inference(split_clause,[status(thm)],[f413,f1803,f2078]) ).

fof(f2082,plain,
    ( spl0_272
  <=> h3(e12) = e21 ),
    introduced(split_symbol_definition) ).

fof(f2084,plain,
    ( h3(e12) != e21
    | spl0_272 ),
    inference(component_clause,[status(thm)],[f2082]) ).

fof(f2090,plain,
    ( spl0_274
  <=> h3(e10) = e22 ),
    introduced(split_symbol_definition) ).

fof(f2091,plain,
    ( h3(e10) = e22
    | ~ spl0_274 ),
    inference(component_clause,[status(thm)],[f2090]) ).

fof(f2092,plain,
    ( h3(e10) != e22
    | spl0_274 ),
    inference(component_clause,[status(thm)],[f2090]) ).

fof(f2093,plain,
    ( ~ spl0_202
    | ~ spl0_274 ),
    inference(split_clause,[status(thm)],[f417,f1806,f2090]) ).

fof(f2094,plain,
    ( spl0_275
  <=> h3(e11) = e22 ),
    introduced(split_symbol_definition) ).

fof(f2095,plain,
    ( h3(e11) = e22
    | ~ spl0_275 ),
    inference(component_clause,[status(thm)],[f2094]) ).

fof(f2096,plain,
    ( h3(e11) != e22
    | spl0_275 ),
    inference(component_clause,[status(thm)],[f2094]) ).

fof(f2098,plain,
    ( spl0_276
  <=> h3(e12) = e22 ),
    introduced(split_symbol_definition) ).

fof(f2099,plain,
    ( h3(e12) = e22
    | ~ spl0_276 ),
    inference(component_clause,[status(thm)],[f2098]) ).

fof(f2100,plain,
    ( h3(e12) != e22
    | spl0_276 ),
    inference(component_clause,[status(thm)],[f2098]) ).

fof(f2102,plain,
    ( spl0_277
  <=> h3(e13) = e22 ),
    introduced(split_symbol_definition) ).

fof(f2103,plain,
    ( h3(e13) = e22
    | ~ spl0_277 ),
    inference(component_clause,[status(thm)],[f2102]) ).

fof(f2104,plain,
    ( h3(e13) != e22
    | spl0_277 ),
    inference(component_clause,[status(thm)],[f2102]) ).

fof(f2110,plain,
    ( spl0_279
  <=> h4(e11) = e20 ),
    introduced(split_symbol_definition) ).

fof(f2111,plain,
    ( h4(e11) = e20
    | ~ spl0_279 ),
    inference(component_clause,[status(thm)],[f2110]) ).

fof(f2112,plain,
    ( h4(e11) != e20
    | spl0_279 ),
    inference(component_clause,[status(thm)],[f2110]) ).

fof(f2113,plain,
    ( ~ spl0_223
    | ~ spl0_279 ),
    inference(split_clause,[status(thm)],[f423,f1873,f2110]) ).

fof(f2126,plain,
    ( spl0_283
  <=> h4(e11) = e21 ),
    introduced(split_symbol_definition) ).

fof(f2127,plain,
    ( h4(e11) = e21
    | ~ spl0_283 ),
    inference(component_clause,[status(thm)],[f2126]) ).

fof(f2128,plain,
    ( h4(e11) != e21
    | spl0_283 ),
    inference(component_clause,[status(thm)],[f2126]) ).

fof(f2129,plain,
    ( ~ spl0_224
    | ~ spl0_283 ),
    inference(split_clause,[status(thm)],[f428,f1876,f2126]) ).

fof(f2130,plain,
    ( spl0_284
  <=> h4(e12) = e21 ),
    introduced(split_symbol_definition) ).

fof(f2131,plain,
    ( h4(e12) = e21
    | ~ spl0_284 ),
    inference(component_clause,[status(thm)],[f2130]) ).

fof(f2132,plain,
    ( h4(e12) != e21
    | spl0_284 ),
    inference(component_clause,[status(thm)],[f2130]) ).

fof(f2142,plain,
    ( spl0_287
  <=> h4(e11) = e22 ),
    introduced(split_symbol_definition) ).

fof(f2143,plain,
    ( h4(e11) = e22
    | ~ spl0_287 ),
    inference(component_clause,[status(thm)],[f2142]) ).

fof(f2144,plain,
    ( h4(e11) != e22
    | spl0_287 ),
    inference(component_clause,[status(thm)],[f2142]) ).

fof(f2145,plain,
    ( ~ spl0_225
    | ~ spl0_287 ),
    inference(split_clause,[status(thm)],[f433,f1879,f2142]) ).

fof(f2154,plain,
    ( spl0_290
  <=> pd0_24 ),
    introduced(split_symbol_definition) ).

fof(f2157,plain,
    ( ~ spl0_230
    | spl0_290
    | spl0_55 ),
    inference(split_clause,[status(thm)],[f439,f1898,f2154,f1246]) ).

fof(f2163,plain,
    ( spl0_291
  <=> pd0_25 ),
    introduced(split_symbol_definition) ).

fof(f2166,plain,
    ( spl0_292
  <=> op1(e11,e13) = op1(e13,e11) ),
    introduced(split_symbol_definition) ).

fof(f2167,plain,
    ( op1(e11,e13) = op1(e13,e11)
    | ~ spl0_292 ),
    inference(component_clause,[status(thm)],[f2166]) ).

fof(f2169,plain,
    ( ~ spl0_231
    | spl0_291
    | spl0_292 ),
    inference(split_clause,[status(thm)],[f448,f1907,f2163,f2166]) ).

fof(f2174,plain,
    ( spl0_294
  <=> op1(e11,op1(e13,e11)) = e11 ),
    introduced(split_symbol_definition) ).

fof(f2175,plain,
    ( op1(e11,op1(e13,e11)) = e11
    | ~ spl0_294 ),
    inference(component_clause,[status(thm)],[f2174]) ).

fof(f2177,plain,
    ( ~ spl0_231
    | spl0_291
    | spl0_294 ),
    inference(split_clause,[status(thm)],[f450,f1907,f2163,f2174]) ).

fof(f2178,plain,
    ( spl0_295
  <=> pd0_26 ),
    introduced(split_symbol_definition) ).

fof(f2181,plain,
    ( ~ spl0_235
    | spl0_295
    | spl0_61 ),
    inference(split_clause,[status(thm)],[f454,f1922,f2178,f1266]) ).

fof(f2182,plain,
    ( ~ spl0_235
    | spl0_295
    | ~ spl0_61
    | ~ spl0_52
    | ~ spl0_28 ),
    inference(split_clause,[status(thm)],[f455,f1922,f2178,f1266,f1237,f1159]) ).

fof(f2186,plain,
    ( spl0_296
  <=> pd0_27 ),
    introduced(split_symbol_definition) ).

fof(f2189,plain,
    ( ~ spl0_236
    | spl0_296
    | spl0_119 ),
    inference(split_clause,[status(thm)],[f462,f1930,f2186,f1486]) ).

fof(f2195,plain,
    ( spl0_297
  <=> pd0_28 ),
    introduced(split_symbol_definition) ).

fof(f2198,plain,
    ( spl0_298
  <=> op2(e21,e23) = op2(e23,e21) ),
    introduced(split_symbol_definition) ).

fof(f2199,plain,
    ( op2(e21,e23) = op2(e23,e21)
    | ~ spl0_298 ),
    inference(component_clause,[status(thm)],[f2198]) ).

fof(f2201,plain,
    ( ~ spl0_237
    | spl0_297
    | spl0_298 ),
    inference(split_clause,[status(thm)],[f471,f1939,f2195,f2198]) ).

fof(f2202,plain,
    ( spl0_299
  <=> op2(e21,e21) = op2(e23,e21) ),
    introduced(split_symbol_definition) ).

fof(f2205,plain,
    ( ~ spl0_237
    | spl0_297
    | ~ spl0_299 ),
    inference(split_clause,[status(thm)],[f472,f1939,f2195,f2202]) ).

fof(f2206,plain,
    ( spl0_300
  <=> op2(e21,op2(e23,e21)) = e21 ),
    introduced(split_symbol_definition) ).

fof(f2207,plain,
    ( op2(e21,op2(e23,e21)) = e21
    | ~ spl0_300 ),
    inference(component_clause,[status(thm)],[f2206]) ).

fof(f2209,plain,
    ( ~ spl0_237
    | spl0_297
    | spl0_300 ),
    inference(split_clause,[status(thm)],[f473,f1939,f2195,f2206]) ).

fof(f2210,plain,
    ( spl0_301
  <=> pd0_29 ),
    introduced(split_symbol_definition) ).

fof(f2213,plain,
    ( ~ spl0_241
    | spl0_301
    | spl0_125 ),
    inference(split_clause,[status(thm)],[f477,f1954,f2210,f1506]) ).

fof(f2214,plain,
    ( ~ spl0_241
    | spl0_301
    | ~ spl0_125
    | ~ spl0_116
    | ~ spl0_92 ),
    inference(split_clause,[status(thm)],[f478,f1954,f2210,f1506,f1477,f1399]) ).

fof(f2218,plain,
    ( spl0_302
  <=> pd0_30 ),
    introduced(split_symbol_definition) ).

fof(f2221,plain,
    ( ~ spl0_290
    | spl0_302
    | spl0_51 ),
    inference(split_clause,[status(thm)],[f485,f2154,f2218,f1233]) ).

fof(f2227,plain,
    ( spl0_303
  <=> pd0_31 ),
    introduced(split_symbol_definition) ).

fof(f2230,plain,
    ( spl0_304
  <=> op1(e10,e13) = op1(e13,e10) ),
    introduced(split_symbol_definition) ).

fof(f2231,plain,
    ( op1(e10,e13) = op1(e13,e10)
    | ~ spl0_304 ),
    inference(component_clause,[status(thm)],[f2230]) ).

fof(f2232,plain,
    ( op1(e10,e13) != op1(e13,e10)
    | spl0_304 ),
    inference(component_clause,[status(thm)],[f2230]) ).

fof(f2233,plain,
    ( ~ spl0_291
    | spl0_303
    | spl0_304 ),
    inference(split_clause,[status(thm)],[f494,f2163,f2227,f2230]) ).

fof(f2234,plain,
    ( spl0_305
  <=> op1(e10,e10) = op1(e13,e10) ),
    introduced(split_symbol_definition) ).

fof(f2235,plain,
    ( op1(e10,e10) = op1(e13,e10)
    | ~ spl0_305 ),
    inference(component_clause,[status(thm)],[f2234]) ).

fof(f2236,plain,
    ( op1(e10,e10) != op1(e13,e10)
    | spl0_305 ),
    inference(component_clause,[status(thm)],[f2234]) ).

fof(f2238,plain,
    ( spl0_306
  <=> op1(e10,op1(e13,e10)) = e10 ),
    introduced(split_symbol_definition) ).

fof(f2241,plain,
    ( ~ spl0_291
    | spl0_303
    | spl0_306 ),
    inference(split_clause,[status(thm)],[f496,f2163,f2227,f2238]) ).

fof(f2242,plain,
    ( spl0_307
  <=> pd0_32 ),
    introduced(split_symbol_definition) ).

fof(f2245,plain,
    ( ~ spl0_295
    | spl0_307
    | spl0_60 ),
    inference(split_clause,[status(thm)],[f500,f2178,f2242,f1263]) ).

fof(f2248,plain,
    ( ~ spl0_295
    | spl0_307
    | ~ spl0_60
    | ~ spl0_50
    | ~ spl0_14 ),
    inference(split_clause,[status(thm)],[f503,f2178,f2242,f1263,f1230,f1113]) ).

fof(f2250,plain,
    ( spl0_308
  <=> pd0_33 ),
    introduced(split_symbol_definition) ).

fof(f2253,plain,
    ( ~ spl0_296
    | spl0_308
    | spl0_115 ),
    inference(split_clause,[status(thm)],[f508,f2186,f2250,f1473]) ).

fof(f2259,plain,
    ( spl0_309
  <=> pd0_34 ),
    introduced(split_symbol_definition) ).

fof(f2262,plain,
    ( spl0_310
  <=> op2(e20,e23) = op2(e23,e20) ),
    introduced(split_symbol_definition) ).

fof(f2263,plain,
    ( op2(e20,e23) = op2(e23,e20)
    | ~ spl0_310 ),
    inference(component_clause,[status(thm)],[f2262]) ).

fof(f2264,plain,
    ( op2(e20,e23) != op2(e23,e20)
    | spl0_310 ),
    inference(component_clause,[status(thm)],[f2262]) ).

fof(f2265,plain,
    ( ~ spl0_297
    | spl0_309
    | spl0_310 ),
    inference(split_clause,[status(thm)],[f517,f2195,f2259,f2262]) ).

fof(f2266,plain,
    ( spl0_311
  <=> op2(e20,e20) = op2(e23,e20) ),
    introduced(split_symbol_definition) ).

fof(f2267,plain,
    ( op2(e20,e20) = op2(e23,e20)
    | ~ spl0_311 ),
    inference(component_clause,[status(thm)],[f2266]) ).

fof(f2270,plain,
    ( spl0_312
  <=> op2(e20,op2(e23,e20)) = e20 ),
    introduced(split_symbol_definition) ).

fof(f2271,plain,
    ( op2(e20,op2(e23,e20)) = e20
    | ~ spl0_312 ),
    inference(component_clause,[status(thm)],[f2270]) ).

fof(f2273,plain,
    ( ~ spl0_297
    | spl0_309
    | spl0_312 ),
    inference(split_clause,[status(thm)],[f519,f2195,f2259,f2270]) ).

fof(f2274,plain,
    ( spl0_313
  <=> pd0_35 ),
    introduced(split_symbol_definition) ).

fof(f2277,plain,
    ( ~ spl0_301
    | spl0_313
    | spl0_124 ),
    inference(split_clause,[status(thm)],[f523,f2210,f2274,f1503]) ).

fof(f2280,plain,
    ( ~ spl0_301
    | spl0_313
    | ~ spl0_124
    | ~ spl0_114
    | ~ spl0_78 ),
    inference(split_clause,[status(thm)],[f526,f2210,f2274,f1503,f1470,f1353]) ).

fof(f2282,plain,
    ( spl0_314
  <=> pd0_36 ),
    introduced(split_symbol_definition) ).

fof(f2285,plain,
    ( ~ spl0_302
    | spl0_314
    | spl0_46 ),
    inference(split_clause,[status(thm)],[f531,f2218,f2282,f1217]) ).

fof(f2286,plain,
    ( ~ spl0_302
    | spl0_314
    | spl0_58 ),
    inference(split_clause,[status(thm)],[f532,f2218,f2282,f1256]) ).

fof(f2288,plain,
    ( ~ spl0_302
    | spl0_314
    | ~ spl0_25 ),
    inference(split_clause,[status(thm)],[f534,f2218,f2282,f1149]) ).

fof(f2291,plain,
    ( spl0_315
  <=> pd0_37 ),
    introduced(split_symbol_definition) ).

fof(f2294,plain,
    ( ~ spl0_303
    | spl0_315
    | spl0_232 ),
    inference(split_clause,[status(thm)],[f540,f2227,f2291,f1910]) ).

fof(f2303,plain,
    ( spl0_318
  <=> pd0_38 ),
    introduced(split_symbol_definition) ).

fof(f2306,plain,
    ( ~ spl0_307
    | spl0_318
    | spl0_43 ),
    inference(split_clause,[status(thm)],[f546,f2242,f2303,f1207]) ).

fof(f2308,plain,
    ( ~ spl0_307
    | spl0_318
    | ~ spl0_43
    | ~ spl0_45
    | ~ spl0_57 ),
    inference(split_clause,[status(thm)],[f548,f2242,f2303,f1207,f1214,f1253]) ).

fof(f2311,plain,
    ( spl0_319
  <=> pd0_39 ),
    introduced(split_symbol_definition) ).

fof(f2314,plain,
    ( ~ spl0_308
    | spl0_319
    | spl0_110 ),
    inference(split_clause,[status(thm)],[f554,f2250,f2311,f1457]) ).

fof(f2315,plain,
    ( ~ spl0_308
    | spl0_319
    | spl0_122 ),
    inference(split_clause,[status(thm)],[f555,f2250,f2311,f1496]) ).

fof(f2320,plain,
    ( spl0_320
  <=> pd0_40 ),
    introduced(split_symbol_definition) ).

fof(f2323,plain,
    ( ~ spl0_309
    | spl0_320
    | spl0_238 ),
    inference(split_clause,[status(thm)],[f563,f2259,f2320,f1942]) ).

fof(f2324,plain,
    ( spl0_321
  <=> op2(e23,e23) = op2(e22,e23) ),
    introduced(split_symbol_definition) ).

fof(f2327,plain,
    ( ~ spl0_309
    | spl0_320
    | ~ spl0_321 ),
    inference(split_clause,[status(thm)],[f564,f2259,f2320,f2324]) ).

fof(f2328,plain,
    ( spl0_322
  <=> op2(e23,op2(e22,e23)) = e23 ),
    introduced(split_symbol_definition) ).

fof(f2329,plain,
    ( op2(e23,op2(e22,e23)) = e23
    | ~ spl0_322 ),
    inference(component_clause,[status(thm)],[f2328]) ).

fof(f2331,plain,
    ( ~ spl0_309
    | spl0_320
    | spl0_322 ),
    inference(split_clause,[status(thm)],[f565,f2259,f2320,f2328]) ).

fof(f2332,plain,
    ( spl0_323
  <=> pd0_41 ),
    introduced(split_symbol_definition) ).

fof(f2335,plain,
    ( ~ spl0_313
    | spl0_323
    | spl0_107 ),
    inference(split_clause,[status(thm)],[f569,f2274,f2332,f1447]) ).

fof(f2336,plain,
    ( ~ spl0_313
    | spl0_323
    | ~ spl0_107
    | ~ spl0_108
    | ~ spl0_120 ),
    inference(split_clause,[status(thm)],[f570,f2274,f2332,f1447,f1451,f1490]) ).

fof(f2337,plain,
    ( ~ spl0_313
    | spl0_323
    | ~ spl0_107
    | ~ spl0_109
    | ~ spl0_121 ),
    inference(split_clause,[status(thm)],[f571,f2274,f2332,f1447,f1454,f1493]) ).

fof(f2339,plain,
    ( ~ spl0_313
    | spl0_323
    | ~ spl0_107
    | ~ spl0_111
    | ~ spl0_123 ),
    inference(split_clause,[status(thm)],[f573,f2274,f2332,f1447,f1460,f1499]) ).

fof(f2340,plain,
    ( spl0_324
  <=> pd0_42 ),
    introduced(split_symbol_definition) ).

fof(f2343,plain,
    ( ~ spl0_314
    | spl0_324
    | spl0_42 ),
    inference(split_clause,[status(thm)],[f577,f2282,f2340,f1204]) ).

fof(f2345,plain,
    ( ~ spl0_314
    | spl0_324
    | ~ spl0_8 ),
    inference(split_clause,[status(thm)],[f579,f2282,f2340,f1094]) ).

fof(f2349,plain,
    ( spl0_325
  <=> pd0_43 ),
    introduced(split_symbol_definition) ).

fof(f2352,plain,
    ( spl0_326
  <=> op1(e12,e12) = op1(e12,e12) ),
    introduced(split_symbol_definition) ).

fof(f2355,plain,
    ( ~ spl0_315
    | spl0_325
    | spl0_326 ),
    inference(split_clause,[status(thm)],[f586,f2291,f2349,f2352]) ).

fof(f2356,plain,
    ( ~ spl0_315
    | spl0_325
    | ~ spl0_326 ),
    inference(split_clause,[status(thm)],[f587,f2291,f2349,f2352]) ).

fof(f2357,plain,
    ( spl0_327
  <=> op1(e12,op1(e12,e12)) = e12 ),
    introduced(split_symbol_definition) ).

fof(f2358,plain,
    ( op1(e12,op1(e12,e12)) = e12
    | ~ spl0_327 ),
    inference(component_clause,[status(thm)],[f2357]) ).

fof(f2359,plain,
    ( op1(e12,op1(e12,e12)) != e12
    | spl0_327 ),
    inference(component_clause,[status(thm)],[f2357]) ).

fof(f2360,plain,
    ( ~ spl0_315
    | spl0_325
    | spl0_327 ),
    inference(split_clause,[status(thm)],[f588,f2291,f2349,f2357]) ).

fof(f2361,plain,
    ( spl0_328
  <=> pd0_44 ),
    introduced(split_symbol_definition) ).

fof(f2364,plain,
    ( ~ spl0_318
    | spl0_328
    | spl0_42 ),
    inference(split_clause,[status(thm)],[f592,f2303,f2361,f1204]) ).

fof(f2367,plain,
    ( ~ spl0_318
    | spl0_328
    | ~ spl0_42 ),
    inference(split_clause,[status(thm)],[f595,f2303,f2361,f1204]) ).

fof(f2369,plain,
    ( spl0_329
  <=> pd0_45 ),
    introduced(split_symbol_definition) ).

fof(f2372,plain,
    ( ~ spl0_319
    | spl0_329
    | spl0_106 ),
    inference(split_clause,[status(thm)],[f600,f2311,f2369,f1444]) ).

fof(f2374,plain,
    ( ~ spl0_319
    | spl0_329
    | ~ spl0_72 ),
    inference(split_clause,[status(thm)],[f602,f2311,f2369,f1334]) ).

fof(f2375,plain,
    ( ~ spl0_319
    | spl0_329
    | ~ spl0_89 ),
    inference(split_clause,[status(thm)],[f603,f2311,f2369,f1389]) ).

fof(f2376,plain,
    ( ~ spl0_319
    | spl0_329
    | ~ spl0_106 ),
    inference(split_clause,[status(thm)],[f604,f2311,f2369,f1444]) ).

fof(f2377,plain,
    ( ~ spl0_319
    | spl0_329
    | ~ spl0_123 ),
    inference(split_clause,[status(thm)],[f605,f2311,f2369,f1499]) ).

fof(f2378,plain,
    ( spl0_330
  <=> pd0_46 ),
    introduced(split_symbol_definition) ).

fof(f2381,plain,
    ( spl0_331
  <=> op2(e22,e22) = op2(e22,e22) ),
    introduced(split_symbol_definition) ).

fof(f2384,plain,
    ( ~ spl0_320
    | spl0_330
    | spl0_331 ),
    inference(split_clause,[status(thm)],[f609,f2320,f2378,f2381]) ).

fof(f2385,plain,
    ( ~ spl0_320
    | spl0_330
    | ~ spl0_331 ),
    inference(split_clause,[status(thm)],[f610,f2320,f2378,f2381]) ).

fof(f2386,plain,
    ( spl0_332
  <=> op2(e22,op2(e22,e22)) = e22 ),
    introduced(split_symbol_definition) ).

fof(f2387,plain,
    ( op2(e22,op2(e22,e22)) = e22
    | ~ spl0_332 ),
    inference(component_clause,[status(thm)],[f2386]) ).

fof(f2389,plain,
    ( ~ spl0_320
    | spl0_330
    | spl0_332 ),
    inference(split_clause,[status(thm)],[f611,f2320,f2378,f2386]) ).

fof(f2390,plain,
    ( spl0_333
  <=> pd0_47 ),
    introduced(split_symbol_definition) ).

fof(f2393,plain,
    ( ~ spl0_323
    | spl0_333
    | spl0_106 ),
    inference(split_clause,[status(thm)],[f615,f2332,f2390,f1444]) ).

fof(f2396,plain,
    ( ~ spl0_323
    | spl0_333
    | ~ spl0_106 ),
    inference(split_clause,[status(thm)],[f618,f2332,f2390,f1444]) ).

fof(f2398,plain,
    ( spl0_334
  <=> pd0_48 ),
    introduced(split_symbol_definition) ).

fof(f2401,plain,
    ( ~ spl0_324
    | spl0_334
    | spl0_38 ),
    inference(split_clause,[status(thm)],[f623,f2340,f2398,f1191]) ).

fof(f2402,plain,
    ( ~ spl0_324
    | spl0_334
    | spl0_26 ),
    inference(split_clause,[status(thm)],[f624,f2340,f2398,f1152]) ).

fof(f2403,plain,
    ( ~ spl0_324
    | spl0_334
    | ~ spl0_8 ),
    inference(split_clause,[status(thm)],[f625,f2340,f2398,f1094]) ).

fof(f2407,plain,
    ( spl0_335
  <=> pd0_49 ),
    introduced(split_symbol_definition) ).

fof(f2410,plain,
    ( spl0_336
  <=> op1(e11,e12) = op1(e12,e11) ),
    introduced(split_symbol_definition) ).

fof(f2411,plain,
    ( op1(e11,e12) = op1(e12,e11)
    | ~ spl0_336 ),
    inference(component_clause,[status(thm)],[f2410]) ).

fof(f2412,plain,
    ( op1(e11,e12) != op1(e12,e11)
    | spl0_336 ),
    inference(component_clause,[status(thm)],[f2410]) ).

fof(f2413,plain,
    ( ~ spl0_325
    | spl0_335
    | spl0_336 ),
    inference(split_clause,[status(thm)],[f632,f2349,f2407,f2410]) ).

fof(f2418,plain,
    ( spl0_338
  <=> op1(e11,op1(e12,e11)) = e11 ),
    introduced(split_symbol_definition) ).

fof(f2419,plain,
    ( op1(e11,op1(e12,e11)) = e11
    | ~ spl0_338 ),
    inference(component_clause,[status(thm)],[f2418]) ).

fof(f2421,plain,
    ( ~ spl0_325
    | spl0_335
    | spl0_338 ),
    inference(split_clause,[status(thm)],[f634,f2349,f2407,f2418]) ).

fof(f2422,plain,
    ( spl0_339
  <=> pd0_50 ),
    introduced(split_symbol_definition) ).

fof(f2425,plain,
    ( ~ spl0_328
    | spl0_339
    | spl0_41 ),
    inference(split_clause,[status(thm)],[f638,f2361,f2422,f1201]) ).

fof(f2428,plain,
    ( ~ spl0_328
    | spl0_339
    | ~ spl0_41
    | ~ spl0_38
    | ~ spl0_26 ),
    inference(split_clause,[status(thm)],[f641,f2361,f2422,f1201,f1191,f1152]) ).

fof(f2429,plain,
    ( ~ spl0_328
    | spl0_339
    | ~ spl0_41
    | ~ spl0_39
    | ~ spl0_27 ),
    inference(split_clause,[status(thm)],[f642,f2361,f2422,f1201,f1194,f1155]) ).

fof(f2430,plain,
    ( spl0_340
  <=> pd0_51 ),
    introduced(split_symbol_definition) ).

fof(f2433,plain,
    ( ~ spl0_329
    | spl0_340
    | spl0_102 ),
    inference(split_clause,[status(thm)],[f646,f2369,f2430,f1431]) ).

fof(f2434,plain,
    ( ~ spl0_329
    | spl0_340
    | spl0_90 ),
    inference(split_clause,[status(thm)],[f647,f2369,f2430,f1392]) ).

fof(f2435,plain,
    ( ~ spl0_329
    | spl0_340
    | ~ spl0_72 ),
    inference(split_clause,[status(thm)],[f648,f2369,f2430,f1334]) ).

fof(f2436,plain,
    ( ~ spl0_329
    | spl0_340
    | ~ spl0_89 ),
    inference(split_clause,[status(thm)],[f649,f2369,f2430,f1389]) ).

fof(f2437,plain,
    ( ~ spl0_329
    | spl0_340
    | ~ spl0_106 ),
    inference(split_clause,[status(thm)],[f650,f2369,f2430,f1444]) ).

fof(f2438,plain,
    ( ~ spl0_329
    | spl0_340
    | ~ spl0_123 ),
    inference(split_clause,[status(thm)],[f651,f2369,f2430,f1499]) ).

fof(f2439,plain,
    ( spl0_341
  <=> pd0_52 ),
    introduced(split_symbol_definition) ).

fof(f2442,plain,
    ( spl0_342
  <=> op2(e21,e22) = op2(e22,e21) ),
    introduced(split_symbol_definition) ).

fof(f2443,plain,
    ( op2(e21,e22) = op2(e22,e21)
    | ~ spl0_342 ),
    inference(component_clause,[status(thm)],[f2442]) ).

fof(f2445,plain,
    ( ~ spl0_330
    | spl0_341
    | spl0_342 ),
    inference(split_clause,[status(thm)],[f655,f2378,f2439,f2442]) ).

fof(f2446,plain,
    ( spl0_343
  <=> op2(e21,e21) = op2(e22,e21) ),
    introduced(split_symbol_definition) ).

fof(f2449,plain,
    ( ~ spl0_330
    | spl0_341
    | ~ spl0_343 ),
    inference(split_clause,[status(thm)],[f656,f2378,f2439,f2446]) ).

fof(f2450,plain,
    ( spl0_344
  <=> op2(e21,op2(e22,e21)) = e21 ),
    introduced(split_symbol_definition) ).

fof(f2451,plain,
    ( op2(e21,op2(e22,e21)) = e21
    | ~ spl0_344 ),
    inference(component_clause,[status(thm)],[f2450]) ).

fof(f2453,plain,
    ( ~ spl0_330
    | spl0_341
    | spl0_344 ),
    inference(split_clause,[status(thm)],[f657,f2378,f2439,f2450]) ).

fof(f2454,plain,
    ( spl0_345
  <=> pd0_53 ),
    introduced(split_symbol_definition) ).

fof(f2457,plain,
    ( ~ spl0_333
    | spl0_345
    | spl0_105 ),
    inference(split_clause,[status(thm)],[f661,f2390,f2454,f1441]) ).

fof(f2458,plain,
    ( ~ spl0_333
    | spl0_345
    | ~ spl0_105
    | ~ spl0_100
    | ~ spl0_88 ),
    inference(split_clause,[status(thm)],[f662,f2390,f2454,f1441,f1425,f1386]) ).

fof(f2460,plain,
    ( ~ spl0_333
    | spl0_345
    | ~ spl0_105
    | ~ spl0_102
    | ~ spl0_90 ),
    inference(split_clause,[status(thm)],[f664,f2390,f2454,f1441,f1431,f1392]) ).

fof(f2462,plain,
    ( spl0_346
  <=> pd0_54 ),
    introduced(split_symbol_definition) ).

fof(f2465,plain,
    ( ~ spl0_334
    | spl0_346
    | spl0_34 ),
    inference(split_clause,[status(thm)],[f669,f2398,f2462,f1178]) ).

fof(f2471,plain,
    ( spl0_347
  <=> pd0_55 ),
    introduced(split_symbol_definition) ).

fof(f2474,plain,
    ( spl0_348
  <=> op1(e10,e12) = op1(e12,e10) ),
    introduced(split_symbol_definition) ).

fof(f2475,plain,
    ( op1(e10,e12) = op1(e12,e10)
    | ~ spl0_348 ),
    inference(component_clause,[status(thm)],[f2474]) ).

fof(f2476,plain,
    ( op1(e10,e12) != op1(e12,e10)
    | spl0_348 ),
    inference(component_clause,[status(thm)],[f2474]) ).

fof(f2477,plain,
    ( ~ spl0_335
    | spl0_347
    | spl0_348 ),
    inference(split_clause,[status(thm)],[f678,f2407,f2471,f2474]) ).

fof(f2478,plain,
    ( spl0_349
  <=> op1(e10,e10) = op1(e12,e10) ),
    introduced(split_symbol_definition) ).

fof(f2479,plain,
    ( op1(e10,e10) = op1(e12,e10)
    | ~ spl0_349 ),
    inference(component_clause,[status(thm)],[f2478]) ).

fof(f2482,plain,
    ( spl0_350
  <=> op1(e10,op1(e12,e10)) = e10 ),
    introduced(split_symbol_definition) ).

fof(f2483,plain,
    ( op1(e10,op1(e12,e10)) = e10
    | ~ spl0_350 ),
    inference(component_clause,[status(thm)],[f2482]) ).

fof(f2485,plain,
    ( ~ spl0_335
    | spl0_347
    | spl0_350 ),
    inference(split_clause,[status(thm)],[f680,f2407,f2471,f2482]) ).

fof(f2486,plain,
    ( spl0_351
  <=> pd0_56 ),
    introduced(split_symbol_definition) ).

fof(f2489,plain,
    ( ~ spl0_339
    | spl0_351
    | spl0_40 ),
    inference(split_clause,[status(thm)],[f684,f2422,f2486,f1198]) ).

fof(f2494,plain,
    ( spl0_352
  <=> pd0_57 ),
    introduced(split_symbol_definition) ).

fof(f2497,plain,
    ( ~ spl0_340
    | spl0_352
    | spl0_98 ),
    inference(split_clause,[status(thm)],[f692,f2430,f2494,f1418]) ).

fof(f2498,plain,
    ( ~ spl0_340
    | spl0_352
    | spl0_74 ),
    inference(split_clause,[status(thm)],[f693,f2430,f2494,f1340]) ).

fof(f2500,plain,
    ( ~ spl0_340
    | spl0_352
    | ~ spl0_89 ),
    inference(split_clause,[status(thm)],[f695,f2430,f2494,f1389]) ).

fof(f2502,plain,
    ( ~ spl0_340
    | spl0_352
    | ~ spl0_123 ),
    inference(split_clause,[status(thm)],[f697,f2430,f2494,f1499]) ).

fof(f2503,plain,
    ( spl0_353
  <=> pd0_58 ),
    introduced(split_symbol_definition) ).

fof(f2506,plain,
    ( spl0_354
  <=> op2(e20,e22) = op2(e22,e20) ),
    introduced(split_symbol_definition) ).

fof(f2507,plain,
    ( op2(e20,e22) = op2(e22,e20)
    | ~ spl0_354 ),
    inference(component_clause,[status(thm)],[f2506]) ).

fof(f2508,plain,
    ( op2(e20,e22) != op2(e22,e20)
    | spl0_354 ),
    inference(component_clause,[status(thm)],[f2506]) ).

fof(f2509,plain,
    ( ~ spl0_341
    | spl0_353
    | spl0_354 ),
    inference(split_clause,[status(thm)],[f701,f2439,f2503,f2506]) ).

fof(f2510,plain,
    ( spl0_355
  <=> op2(e20,e20) = op2(e22,e20) ),
    introduced(split_symbol_definition) ).

fof(f2511,plain,
    ( op2(e20,e20) = op2(e22,e20)
    | ~ spl0_355 ),
    inference(component_clause,[status(thm)],[f2510]) ).

fof(f2514,plain,
    ( spl0_356
  <=> op2(e20,op2(e22,e20)) = e20 ),
    introduced(split_symbol_definition) ).

fof(f2515,plain,
    ( op2(e20,op2(e22,e20)) = e20
    | ~ spl0_356 ),
    inference(component_clause,[status(thm)],[f2514]) ).

fof(f2517,plain,
    ( ~ spl0_341
    | spl0_353
    | spl0_356 ),
    inference(split_clause,[status(thm)],[f703,f2439,f2503,f2514]) ).

fof(f2518,plain,
    ( spl0_357
  <=> pd0_59 ),
    introduced(split_symbol_definition) ).

fof(f2521,plain,
    ( ~ spl0_345
    | spl0_357
    | spl0_104 ),
    inference(split_clause,[status(thm)],[f707,f2454,f2518,f1438]) ).

fof(f2526,plain,
    ( spl0_358
  <=> pd0_60 ),
    introduced(split_symbol_definition) ).

fof(f2529,plain,
    ( ~ spl0_346
    | spl0_358
    | spl0_29 ),
    inference(split_clause,[status(thm)],[f715,f2462,f2526,f1162]) ).

fof(f2530,plain,
    ( ~ spl0_346
    | spl0_358
    | spl0_53 ),
    inference(split_clause,[status(thm)],[f716,f2462,f2526,f1240]) ).

fof(f2532,plain,
    ( ~ spl0_346
    | spl0_358
    | ~ spl0_21 ),
    inference(split_clause,[status(thm)],[f718,f2462,f2526,f1136]) ).

fof(f2533,plain,
    ( ~ spl0_346
    | spl0_358
    | ~ spl0_38 ),
    inference(split_clause,[status(thm)],[f719,f2462,f2526,f1191]) ).

fof(f2535,plain,
    ( spl0_359
  <=> pd0_61 ),
    introduced(split_symbol_definition) ).

fof(f2538,plain,
    ( ~ spl0_347
    | spl0_359
    | spl0_292 ),
    inference(split_clause,[status(thm)],[f724,f2471,f2535,f2166]) ).

fof(f2543,plain,
    ( spl0_361
  <=> op1(e13,op1(e11,e13)) = e13 ),
    introduced(split_symbol_definition) ).

fof(f2544,plain,
    ( op1(e13,op1(e11,e13)) = e13
    | ~ spl0_361 ),
    inference(component_clause,[status(thm)],[f2543]) ).

fof(f2546,plain,
    ( ~ spl0_347
    | spl0_359
    | spl0_361 ),
    inference(split_clause,[status(thm)],[f726,f2471,f2535,f2543]) ).

fof(f2547,plain,
    ( spl0_362
  <=> pd0_62 ),
    introduced(split_symbol_definition) ).

fof(f2550,plain,
    ( ~ spl0_351
    | spl0_362
    | spl0_23 ),
    inference(split_clause,[status(thm)],[f730,f2486,f2547,f1142]) ).

fof(f2551,plain,
    ( ~ spl0_351
    | spl0_362
    | ~ spl0_23
    | ~ spl0_28
    | ~ spl0_52 ),
    inference(split_clause,[status(thm)],[f731,f2486,f2547,f1142,f1159,f1237]) ).

fof(f2552,plain,
    ( ~ spl0_351
    | spl0_362
    | ~ spl0_23
    | ~ spl0_29
    | ~ spl0_53 ),
    inference(split_clause,[status(thm)],[f732,f2486,f2547,f1142,f1162,f1240]) ).

fof(f2555,plain,
    ( spl0_363
  <=> pd0_63 ),
    introduced(split_symbol_definition) ).

fof(f2558,plain,
    ( ~ spl0_352
    | spl0_363
    | spl0_93 ),
    inference(split_clause,[status(thm)],[f738,f2494,f2555,f1402]) ).

fof(f2559,plain,
    ( ~ spl0_352
    | spl0_363
    | spl0_117 ),
    inference(split_clause,[status(thm)],[f739,f2494,f2555,f1480]) ).

fof(f2561,plain,
    ( ~ spl0_352
    | spl0_363
    | ~ spl0_85 ),
    inference(split_clause,[status(thm)],[f741,f2494,f2555,f1376]) ).

fof(f2562,plain,
    ( ~ spl0_352
    | spl0_363
    | ~ spl0_102 ),
    inference(split_clause,[status(thm)],[f742,f2494,f2555,f1431]) ).

fof(f2564,plain,
    ( spl0_364
  <=> pd0_64 ),
    introduced(split_symbol_definition) ).

fof(f2567,plain,
    ( ~ spl0_353
    | spl0_364
    | spl0_298 ),
    inference(split_clause,[status(thm)],[f747,f2503,f2564,f2198]) ).

fof(f2568,plain,
    ( spl0_365
  <=> op2(e23,e23) = op2(e21,e23) ),
    introduced(split_symbol_definition) ).

fof(f2569,plain,
    ( op2(e23,e23) = op2(e21,e23)
    | ~ spl0_365 ),
    inference(component_clause,[status(thm)],[f2568]) ).

fof(f2570,plain,
    ( op2(e23,e23) != op2(e21,e23)
    | spl0_365 ),
    inference(component_clause,[status(thm)],[f2568]) ).

fof(f2572,plain,
    ( spl0_366
  <=> op2(e23,op2(e21,e23)) = e23 ),
    introduced(split_symbol_definition) ).

fof(f2573,plain,
    ( op2(e23,op2(e21,e23)) = e23
    | ~ spl0_366 ),
    inference(component_clause,[status(thm)],[f2572]) ).

fof(f2575,plain,
    ( ~ spl0_353
    | spl0_364
    | spl0_366 ),
    inference(split_clause,[status(thm)],[f749,f2503,f2564,f2572]) ).

fof(f2576,plain,
    ( spl0_367
  <=> pd0_65 ),
    introduced(split_symbol_definition) ).

fof(f2579,plain,
    ( ~ spl0_357
    | spl0_367
    | spl0_87 ),
    inference(split_clause,[status(thm)],[f753,f2518,f2576,f1382]) ).

fof(f2580,plain,
    ( ~ spl0_357
    | spl0_367
    | ~ spl0_87
    | ~ spl0_92
    | ~ spl0_116 ),
    inference(split_clause,[status(thm)],[f754,f2518,f2576,f1382,f1399,f1477]) ).

fof(f2581,plain,
    ( ~ spl0_357
    | spl0_367
    | ~ spl0_87
    | ~ spl0_93
    | ~ spl0_117 ),
    inference(split_clause,[status(thm)],[f755,f2518,f2576,f1382,f1402,f1480]) ).

fof(f2584,plain,
    ( spl0_368
  <=> pd0_66 ),
    introduced(split_symbol_definition) ).

fof(f2587,plain,
    ( ~ spl0_358
    | spl0_368
    | spl0_25 ),
    inference(split_clause,[status(thm)],[f761,f2526,f2584,f1149]) ).

fof(f2588,plain,
    ( ~ spl0_358
    | spl0_368
    | spl0_37 ),
    inference(split_clause,[status(thm)],[f762,f2526,f2584,f1188]) ).

fof(f2590,plain,
    ( ~ spl0_358
    | spl0_368
    | ~ spl0_21 ),
    inference(split_clause,[status(thm)],[f764,f2526,f2584,f1136]) ).

fof(f2591,plain,
    ( ~ spl0_358
    | spl0_368
    | ~ spl0_38 ),
    inference(split_clause,[status(thm)],[f765,f2526,f2584,f1191]) ).

fof(f2593,plain,
    ( spl0_369
  <=> pd0_67 ),
    introduced(split_symbol_definition) ).

fof(f2596,plain,
    ( ~ spl0_359
    | spl0_369
    | spl0_336 ),
    inference(split_clause,[status(thm)],[f770,f2535,f2593,f2410]) ).

fof(f2597,plain,
    ( spl0_370
  <=> op1(e12,e12) = op1(e11,e12) ),
    introduced(split_symbol_definition) ).

fof(f2601,plain,
    ( spl0_371
  <=> op1(e12,op1(e11,e12)) = e12 ),
    introduced(split_symbol_definition) ).

fof(f2602,plain,
    ( op1(e12,op1(e11,e12)) = e12
    | ~ spl0_371 ),
    inference(component_clause,[status(thm)],[f2601]) ).

fof(f2603,plain,
    ( op1(e12,op1(e11,e12)) != e12
    | spl0_371 ),
    inference(component_clause,[status(thm)],[f2601]) ).

fof(f2604,plain,
    ( ~ spl0_359
    | spl0_369
    | spl0_371 ),
    inference(split_clause,[status(thm)],[f772,f2535,f2593,f2601]) ).

fof(f2605,plain,
    ( spl0_372
  <=> pd0_68 ),
    introduced(split_symbol_definition) ).

fof(f2608,plain,
    ( ~ spl0_362
    | spl0_372
    | spl0_22 ),
    inference(split_clause,[status(thm)],[f776,f2547,f2605,f1139]) ).

fof(f2610,plain,
    ( ~ spl0_362
    | spl0_372
    | ~ spl0_22
    | ~ spl0_25
    | ~ spl0_37 ),
    inference(split_clause,[status(thm)],[f778,f2547,f2605,f1139,f1149,f1188]) ).

fof(f2613,plain,
    ( spl0_373
  <=> pd0_69 ),
    introduced(split_symbol_definition) ).

fof(f2616,plain,
    ( ~ spl0_363
    | spl0_373
    | spl0_89 ),
    inference(split_clause,[status(thm)],[f784,f2555,f2613,f1389]) ).

fof(f2617,plain,
    ( ~ spl0_363
    | spl0_373
    | spl0_101 ),
    inference(split_clause,[status(thm)],[f785,f2555,f2613,f1428]) ).

fof(f2619,plain,
    ( ~ spl0_363
    | spl0_373
    | ~ spl0_85 ),
    inference(split_clause,[status(thm)],[f787,f2555,f2613,f1376]) ).

fof(f2620,plain,
    ( ~ spl0_363
    | spl0_373
    | ~ spl0_102 ),
    inference(split_clause,[status(thm)],[f788,f2555,f2613,f1431]) ).

fof(f2622,plain,
    ( spl0_374
  <=> pd0_70 ),
    introduced(split_symbol_definition) ).

fof(f2625,plain,
    ( ~ spl0_364
    | spl0_374
    | spl0_342 ),
    inference(split_clause,[status(thm)],[f793,f2564,f2622,f2442]) ).

fof(f2626,plain,
    ( spl0_375
  <=> op2(e22,e22) = op2(e21,e22) ),
    introduced(split_symbol_definition) ).

fof(f2627,plain,
    ( op2(e22,e22) = op2(e21,e22)
    | ~ spl0_375 ),
    inference(component_clause,[status(thm)],[f2626]) ).

fof(f2630,plain,
    ( spl0_376
  <=> op2(e22,op2(e21,e22)) = e22 ),
    introduced(split_symbol_definition) ).

fof(f2631,plain,
    ( op2(e22,op2(e21,e22)) = e22
    | ~ spl0_376 ),
    inference(component_clause,[status(thm)],[f2630]) ).

fof(f2633,plain,
    ( ~ spl0_364
    | spl0_374
    | spl0_376 ),
    inference(split_clause,[status(thm)],[f795,f2564,f2622,f2630]) ).

fof(f2634,plain,
    ( spl0_377
  <=> pd0_71 ),
    introduced(split_symbol_definition) ).

fof(f2637,plain,
    ( ~ spl0_367
    | spl0_377
    | spl0_86 ),
    inference(split_clause,[status(thm)],[f799,f2576,f2634,f1379]) ).

fof(f2638,plain,
    ( ~ spl0_367
    | spl0_377
    | ~ spl0_86
    | ~ spl0_88
    | ~ spl0_100 ),
    inference(split_clause,[status(thm)],[f800,f2576,f2634,f1379,f1386,f1425]) ).

fof(f2639,plain,
    ( ~ spl0_367
    | spl0_377
    | ~ spl0_86
    | ~ spl0_89
    | ~ spl0_101 ),
    inference(split_clause,[status(thm)],[f801,f2576,f2634,f1379,f1389,f1428]) ).

fof(f2642,plain,
    ( spl0_378
  <=> pd0_72 ),
    introduced(split_symbol_definition) ).

fof(f2645,plain,
    ( ~ spl0_368
    | spl0_378
    | spl0_21 ),
    inference(split_clause,[status(thm)],[f807,f2584,f2642,f1136]) ).

fof(f2648,plain,
    ( ~ spl0_368
    | spl0_378
    | ~ spl0_21 ),
    inference(split_clause,[status(thm)],[f810,f2584,f2642,f1136]) ).

fof(f2649,plain,
    ( ~ spl0_368
    | spl0_378
    | ~ spl0_38 ),
    inference(split_clause,[status(thm)],[f811,f2584,f2642,f1191]) ).

fof(f2651,plain,
    ( spl0_379
  <=> pd0_73 ),
    introduced(split_symbol_definition) ).

fof(f2654,plain,
    ( spl0_380
  <=> op1(e11,e11) = op1(e11,e11) ),
    introduced(split_symbol_definition) ).

fof(f2657,plain,
    ( ~ spl0_369
    | spl0_379
    | spl0_380 ),
    inference(split_clause,[status(thm)],[f816,f2593,f2651,f2654]) ).

fof(f2658,plain,
    ( ~ spl0_369
    | spl0_379
    | ~ spl0_380 ),
    inference(split_clause,[status(thm)],[f817,f2593,f2651,f2654]) ).

fof(f2659,plain,
    ( spl0_381
  <=> op1(e11,op1(e11,e11)) = e11 ),
    introduced(split_symbol_definition) ).

fof(f2660,plain,
    ( op1(e11,op1(e11,e11)) = e11
    | ~ spl0_381 ),
    inference(component_clause,[status(thm)],[f2659]) ).

fof(f2662,plain,
    ( ~ spl0_369
    | spl0_379
    | spl0_381 ),
    inference(split_clause,[status(thm)],[f818,f2593,f2651,f2659]) ).

fof(f2663,plain,
    ( spl0_382
  <=> pd0_74 ),
    introduced(split_symbol_definition) ).

fof(f2666,plain,
    ( ~ spl0_372
    | spl0_382
    | spl0_21 ),
    inference(split_clause,[status(thm)],[f822,f2605,f2663,f1136]) ).

fof(f2668,plain,
    ( ~ spl0_372
    | spl0_382
    | ~ spl0_21 ),
    inference(split_clause,[status(thm)],[f824,f2605,f2663,f1136]) ).

fof(f2671,plain,
    ( spl0_383
  <=> pd0_75 ),
    introduced(split_symbol_definition) ).

fof(f2674,plain,
    ( ~ spl0_373
    | spl0_383
    | spl0_85 ),
    inference(split_clause,[status(thm)],[f830,f2613,f2671,f1376]) ).

fof(f2677,plain,
    ( ~ spl0_373
    | spl0_383
    | ~ spl0_85 ),
    inference(split_clause,[status(thm)],[f833,f2613,f2671,f1376]) ).

fof(f2678,plain,
    ( ~ spl0_373
    | spl0_383
    | ~ spl0_102 ),
    inference(split_clause,[status(thm)],[f834,f2613,f2671,f1431]) ).

fof(f2680,plain,
    ( spl0_384
  <=> pd0_76 ),
    introduced(split_symbol_definition) ).

fof(f2683,plain,
    ( spl0_385
  <=> op2(e21,e21) = op2(e21,e21) ),
    introduced(split_symbol_definition) ).

fof(f2686,plain,
    ( ~ spl0_374
    | spl0_384
    | spl0_385 ),
    inference(split_clause,[status(thm)],[f839,f2622,f2680,f2683]) ).

fof(f2687,plain,
    ( ~ spl0_374
    | spl0_384
    | ~ spl0_385 ),
    inference(split_clause,[status(thm)],[f840,f2622,f2680,f2683]) ).

fof(f2688,plain,
    ( spl0_386
  <=> op2(e21,op2(e21,e21)) = e21 ),
    introduced(split_symbol_definition) ).

fof(f2689,plain,
    ( op2(e21,op2(e21,e21)) = e21
    | ~ spl0_386 ),
    inference(component_clause,[status(thm)],[f2688]) ).

fof(f2690,plain,
    ( op2(e21,op2(e21,e21)) != e21
    | spl0_386 ),
    inference(component_clause,[status(thm)],[f2688]) ).

fof(f2691,plain,
    ( ~ spl0_374
    | spl0_384
    | spl0_386 ),
    inference(split_clause,[status(thm)],[f841,f2622,f2680,f2688]) ).

fof(f2692,plain,
    ( spl0_387
  <=> pd0_77 ),
    introduced(split_symbol_definition) ).

fof(f2695,plain,
    ( ~ spl0_377
    | spl0_387
    | spl0_85 ),
    inference(split_clause,[status(thm)],[f845,f2634,f2692,f1376]) ).

fof(f2697,plain,
    ( ~ spl0_377
    | spl0_387
    | ~ spl0_85 ),
    inference(split_clause,[status(thm)],[f847,f2634,f2692,f1376]) ).

fof(f2700,plain,
    ( spl0_388
  <=> pd0_78 ),
    introduced(split_symbol_definition) ).

fof(f2703,plain,
    ( ~ spl0_378
    | spl0_388
    | spl0_17 ),
    inference(split_clause,[status(thm)],[f853,f2642,f2700,f1123]) ).

fof(f2709,plain,
    ( spl0_389
  <=> pd0_79 ),
    introduced(split_symbol_definition) ).

fof(f2712,plain,
    ( spl0_390
  <=> op1(e10,e11) = op1(e11,e10) ),
    introduced(split_symbol_definition) ).

fof(f2713,plain,
    ( op1(e10,e11) = op1(e11,e10)
    | ~ spl0_390 ),
    inference(component_clause,[status(thm)],[f2712]) ).

fof(f2715,plain,
    ( ~ spl0_379
    | spl0_389
    | spl0_390 ),
    inference(split_clause,[status(thm)],[f862,f2651,f2709,f2712]) ).

fof(f2716,plain,
    ( spl0_391
  <=> op1(e10,e10) = op1(e11,e10) ),
    introduced(split_symbol_definition) ).

fof(f2717,plain,
    ( op1(e10,e10) = op1(e11,e10)
    | ~ spl0_391 ),
    inference(component_clause,[status(thm)],[f2716]) ).

fof(f2720,plain,
    ( spl0_392
  <=> op1(e10,op1(e11,e10)) = e10 ),
    introduced(split_symbol_definition) ).

fof(f2721,plain,
    ( op1(e10,op1(e11,e10)) = e10
    | ~ spl0_392 ),
    inference(component_clause,[status(thm)],[f2720]) ).

fof(f2723,plain,
    ( ~ spl0_379
    | spl0_389
    | spl0_392 ),
    inference(split_clause,[status(thm)],[f864,f2651,f2709,f2720]) ).

fof(f2724,plain,
    ( spl0_393
  <=> pd0_80 ),
    introduced(split_symbol_definition) ).

fof(f2727,plain,
    ( ~ spl0_382
    | spl0_393
    | spl0_20 ),
    inference(split_clause,[status(thm)],[f868,f2663,f2724,f1133]) ).

fof(f2731,plain,
    ( ~ spl0_382
    | spl0_393
    | ~ spl0_20
    | ~ spl0_19
    | ~ spl0_7 ),
    inference(split_clause,[status(thm)],[f872,f2663,f2724,f1133,f1129,f1090]) ).

fof(f2732,plain,
    ( spl0_394
  <=> pd0_81 ),
    introduced(split_symbol_definition) ).

fof(f2735,plain,
    ( ~ spl0_383
    | spl0_394
    | spl0_81 ),
    inference(split_clause,[status(thm)],[f876,f2671,f2732,f1363]) ).

fof(f2741,plain,
    ( spl0_395
  <=> pd0_82 ),
    introduced(split_symbol_definition) ).

fof(f2744,plain,
    ( spl0_396
  <=> op2(e20,e21) = op2(e21,e20) ),
    introduced(split_symbol_definition) ).

fof(f2745,plain,
    ( op2(e20,e21) = op2(e21,e20)
    | ~ spl0_396 ),
    inference(component_clause,[status(thm)],[f2744]) ).

fof(f2746,plain,
    ( op2(e20,e21) != op2(e21,e20)
    | spl0_396 ),
    inference(component_clause,[status(thm)],[f2744]) ).

fof(f2747,plain,
    ( ~ spl0_384
    | spl0_395
    | spl0_396 ),
    inference(split_clause,[status(thm)],[f885,f2680,f2741,f2744]) ).

fof(f2748,plain,
    ( spl0_397
  <=> op2(e20,e20) = op2(e21,e20) ),
    introduced(split_symbol_definition) ).

fof(f2749,plain,
    ( op2(e20,e20) = op2(e21,e20)
    | ~ spl0_397 ),
    inference(component_clause,[status(thm)],[f2748]) ).

fof(f2752,plain,
    ( spl0_398
  <=> op2(e20,op2(e21,e20)) = e20 ),
    introduced(split_symbol_definition) ).

fof(f2753,plain,
    ( op2(e20,op2(e21,e20)) = e20
    | ~ spl0_398 ),
    inference(component_clause,[status(thm)],[f2752]) ).

fof(f2754,plain,
    ( op2(e20,op2(e21,e20)) != e20
    | spl0_398 ),
    inference(component_clause,[status(thm)],[f2752]) ).

fof(f2755,plain,
    ( ~ spl0_384
    | spl0_395
    | spl0_398 ),
    inference(split_clause,[status(thm)],[f887,f2680,f2741,f2752]) ).

fof(f2756,plain,
    ( spl0_399
  <=> pd0_83 ),
    introduced(split_symbol_definition) ).

fof(f2759,plain,
    ( ~ spl0_387
    | spl0_399
    | spl0_84 ),
    inference(split_clause,[status(thm)],[f891,f2692,f2756,f1373]) ).

fof(f2763,plain,
    ( ~ spl0_387
    | spl0_399
    | ~ spl0_84
    | ~ spl0_83
    | ~ spl0_71 ),
    inference(split_clause,[status(thm)],[f895,f2692,f2756,f1373,f1369,f1330]) ).

fof(f2764,plain,
    ( spl0_400
  <=> pd0_84 ),
    introduced(split_symbol_definition) ).

fof(f2767,plain,
    ( ~ spl0_388
    | spl0_400
    | spl0_12 ),
    inference(split_clause,[status(thm)],[f899,f2700,f2764,f1107]) ).

fof(f2768,plain,
    ( ~ spl0_388
    | spl0_400
    | spl0_48 ),
    inference(split_clause,[status(thm)],[f900,f2700,f2764,f1224]) ).

fof(f2773,plain,
    ( spl0_401
  <=> pd0_85 ),
    introduced(split_symbol_definition) ).

fof(f2776,plain,
    ( ~ spl0_389
    | spl0_401
    | spl0_304 ),
    inference(split_clause,[status(thm)],[f908,f2709,f2773,f2230]) ).

fof(f2777,plain,
    ( spl0_402
  <=> op1(e13,e13) = op1(e10,e13) ),
    introduced(split_symbol_definition) ).

fof(f2780,plain,
    ( ~ spl0_389
    | spl0_401
    | ~ spl0_402 ),
    inference(split_clause,[status(thm)],[f909,f2709,f2773,f2777]) ).

fof(f2781,plain,
    ( spl0_403
  <=> op1(e13,op1(e10,e13)) = e13 ),
    introduced(split_symbol_definition) ).

fof(f2782,plain,
    ( op1(e13,op1(e10,e13)) = e13
    | ~ spl0_403 ),
    inference(component_clause,[status(thm)],[f2781]) ).

fof(f2784,plain,
    ( ~ spl0_389
    | spl0_401
    | spl0_403 ),
    inference(split_clause,[status(thm)],[f910,f2709,f2773,f2781]) ).

fof(f2785,plain,
    ( spl0_404
  <=> pd0_86 ),
    introduced(split_symbol_definition) ).

fof(f2788,plain,
    ( ~ spl0_393
    | spl0_404
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f914,f2724,f2785,f1077]) ).

fof(f2793,plain,
    ( spl0_405
  <=> pd0_87 ),
    introduced(split_symbol_definition) ).

fof(f2796,plain,
    ( ~ spl0_394
    | spl0_405
    | spl0_76 ),
    inference(split_clause,[status(thm)],[f922,f2732,f2793,f1347]) ).

fof(f2797,plain,
    ( ~ spl0_394
    | spl0_405
    | spl0_112 ),
    inference(split_clause,[status(thm)],[f923,f2732,f2793,f1464]) ).

fof(f2802,plain,
    ( spl0_406
  <=> pd0_88 ),
    introduced(split_symbol_definition) ).

fof(f2805,plain,
    ( ~ spl0_395
    | spl0_406
    | spl0_310 ),
    inference(split_clause,[status(thm)],[f931,f2741,f2802,f2262]) ).

fof(f2806,plain,
    ( spl0_407
  <=> op2(e23,e23) = op2(e20,e23) ),
    introduced(split_symbol_definition) ).

fof(f2807,plain,
    ( op2(e23,e23) = op2(e20,e23)
    | ~ spl0_407 ),
    inference(component_clause,[status(thm)],[f2806]) ).

fof(f2808,plain,
    ( op2(e23,e23) != op2(e20,e23)
    | spl0_407 ),
    inference(component_clause,[status(thm)],[f2806]) ).

fof(f2810,plain,
    ( spl0_408
  <=> op2(e23,op2(e20,e23)) = e23 ),
    introduced(split_symbol_definition) ).

fof(f2811,plain,
    ( op2(e23,op2(e20,e23)) = e23
    | ~ spl0_408 ),
    inference(component_clause,[status(thm)],[f2810]) ).

fof(f2813,plain,
    ( ~ spl0_395
    | spl0_406
    | spl0_408 ),
    inference(split_clause,[status(thm)],[f933,f2741,f2802,f2810]) ).

fof(f2814,plain,
    ( spl0_409
  <=> pd0_89 ),
    introduced(split_symbol_definition) ).

fof(f2817,plain,
    ( ~ spl0_399
    | spl0_409
    | spl0_67 ),
    inference(split_clause,[status(thm)],[f937,f2756,f2814,f1317]) ).

fof(f2822,plain,
    ( spl0_410
  <=> pd0_90 ),
    introduced(split_symbol_definition) ).

fof(f2825,plain,
    ( ~ spl0_400
    | spl0_410
    | spl0_8 ),
    inference(split_clause,[status(thm)],[f945,f2764,f2822,f1094]) ).

fof(f2826,plain,
    ( ~ spl0_400
    | spl0_410
    | spl0_32 ),
    inference(split_clause,[status(thm)],[f946,f2764,f2822,f1172]) ).

fof(f2831,plain,
    ( spl0_411
  <=> pd0_91 ),
    introduced(split_symbol_definition) ).

fof(f2834,plain,
    ( ~ spl0_401
    | spl0_411
    | spl0_348 ),
    inference(split_clause,[status(thm)],[f954,f2773,f2831,f2474]) ).

fof(f2835,plain,
    ( spl0_412
  <=> op1(e12,e12) = op1(e10,e12) ),
    introduced(split_symbol_definition) ).

fof(f2839,plain,
    ( spl0_413
  <=> op1(e12,op1(e10,e12)) = e12 ),
    introduced(split_symbol_definition) ).

fof(f2842,plain,
    ( ~ spl0_401
    | spl0_411
    | spl0_413 ),
    inference(split_clause,[status(thm)],[f956,f2773,f2831,f2839]) ).

fof(f2843,plain,
    ( spl0_414
  <=> pd0_92 ),
    introduced(split_symbol_definition) ).

fof(f2846,plain,
    ( ~ spl0_404
    | spl0_414
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f960,f2785,f2843,f1074]) ).

fof(f2851,plain,
    ( spl0_415
  <=> pd0_93 ),
    introduced(split_symbol_definition) ).

fof(f2854,plain,
    ( ~ spl0_405
    | spl0_415
    | spl0_72 ),
    inference(split_clause,[status(thm)],[f968,f2793,f2851,f1334]) ).

fof(f2855,plain,
    ( ~ spl0_405
    | spl0_415
    | spl0_96 ),
    inference(split_clause,[status(thm)],[f969,f2793,f2851,f1412]) ).

fof(f2860,plain,
    ( spl0_416
  <=> pd0_94 ),
    introduced(split_symbol_definition) ).

fof(f2863,plain,
    ( ~ spl0_406
    | spl0_416
    | spl0_354 ),
    inference(split_clause,[status(thm)],[f977,f2802,f2860,f2506]) ).

fof(f2868,plain,
    ( spl0_418
  <=> op2(e22,op2(e20,e22)) = e22 ),
    introduced(split_symbol_definition) ).

fof(f2869,plain,
    ( op2(e22,op2(e20,e22)) = e22
    | ~ spl0_418 ),
    inference(component_clause,[status(thm)],[f2868]) ).

fof(f2871,plain,
    ( ~ spl0_406
    | spl0_416
    | spl0_418 ),
    inference(split_clause,[status(thm)],[f979,f2802,f2860,f2868]) ).

fof(f2872,plain,
    ( spl0_419
  <=> pd0_95 ),
    introduced(split_symbol_definition) ).

fof(f2875,plain,
    ( ~ spl0_409
    | spl0_419
    | spl0_66 ),
    inference(split_clause,[status(thm)],[f983,f2814,f2872,f1314]) ).

fof(f2880,plain,
    ( spl0_420
  <=> pd0_96 ),
    introduced(split_symbol_definition) ).

fof(f2883,plain,
    ( ~ spl0_410
    | spl0_420
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f991,f2822,f2880,f1081]) ).

fof(f2889,plain,
    ( spl0_421
  <=> pd0_97 ),
    introduced(split_symbol_definition) ).

fof(f2892,plain,
    ( ~ spl0_411
    | spl0_421
    | spl0_390 ),
    inference(split_clause,[status(thm)],[f1000,f2831,f2889,f2712]) ).

fof(f2897,plain,
    ( spl0_423
  <=> op1(e11,op1(e10,e11)) = e11 ),
    introduced(split_symbol_definition) ).

fof(f2898,plain,
    ( op1(e11,op1(e10,e11)) = e11
    | ~ spl0_423 ),
    inference(component_clause,[status(thm)],[f2897]) ).

fof(f2899,plain,
    ( op1(e11,op1(e10,e11)) != e11
    | spl0_423 ),
    inference(component_clause,[status(thm)],[f2897]) ).

fof(f2900,plain,
    ( ~ spl0_411
    | spl0_421
    | spl0_423 ),
    inference(split_clause,[status(thm)],[f1002,f2831,f2889,f2897]) ).

fof(f2901,plain,
    ( spl0_424
  <=> pd0_98 ),
    introduced(split_symbol_definition) ).

fof(f2908,plain,
    ( ~ spl0_414
    | spl0_424
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_19 ),
    inference(split_clause,[status(thm)],[f1010,f2843,f2901,f1071,f1090,f1129]) ).

fof(f2909,plain,
    ( spl0_425
  <=> pd0_99 ),
    introduced(split_symbol_definition) ).

fof(f2912,plain,
    ( ~ spl0_415
    | spl0_425
    | spl0_68 ),
    inference(split_clause,[status(thm)],[f1014,f2851,f2909,f1321]) ).

fof(f2918,plain,
    ( spl0_426
  <=> pd0_100 ),
    introduced(split_symbol_definition) ).

fof(f2921,plain,
    ( ~ spl0_416
    | spl0_426
    | spl0_396 ),
    inference(split_clause,[status(thm)],[f1023,f2860,f2918,f2744]) ).

fof(f2926,plain,
    ( spl0_428
  <=> op2(e21,op2(e20,e21)) = e21 ),
    introduced(split_symbol_definition) ).

fof(f2927,plain,
    ( op2(e21,op2(e20,e21)) = e21
    | ~ spl0_428 ),
    inference(component_clause,[status(thm)],[f2926]) ).

fof(f2928,plain,
    ( op2(e21,op2(e20,e21)) != e21
    | spl0_428 ),
    inference(component_clause,[status(thm)],[f2926]) ).

fof(f2929,plain,
    ( ~ spl0_416
    | spl0_426
    | spl0_428 ),
    inference(split_clause,[status(thm)],[f1025,f2860,f2918,f2926]) ).

fof(f2930,plain,
    ( spl0_429
  <=> pd0_101 ),
    introduced(split_symbol_definition) ).

fof(f2937,plain,
    ( ~ spl0_419
    | spl0_429
    | ~ spl0_65
    | ~ spl0_71
    | ~ spl0_83 ),
    inference(split_clause,[status(thm)],[f1033,f2872,f2930,f1311,f1330,f1369]) ).

fof(f2938,plain,
    ( ~ spl0_420
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f1035,f2880,f1068]) ).

fof(f2949,plain,
    ( spl0_431
  <=> op1(e10,op1(e10,e10)) = e10 ),
    introduced(split_symbol_definition) ).

fof(f2950,plain,
    ( op1(e10,op1(e10,e10)) = e10
    | ~ spl0_431 ),
    inference(component_clause,[status(thm)],[f2949]) ).

fof(f2952,plain,
    ( ~ spl0_421
    | spl0_431 ),
    inference(split_clause,[status(thm)],[f1044,f2889,f2949]) ).

fof(f2953,plain,
    ( ~ spl0_424
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f1046,f2901,f1068]) ).

fof(f2958,plain,
    ( ~ spl0_425
    | spl0_64 ),
    inference(split_clause,[status(thm)],[f1052,f2909,f1308]) ).

fof(f2969,plain,
    ( spl0_433
  <=> op2(e20,op2(e20,e20)) = e20 ),
    introduced(split_symbol_definition) ).

fof(f2970,plain,
    ( op2(e20,op2(e20,e20)) = e20
    | ~ spl0_433 ),
    inference(component_clause,[status(thm)],[f2969]) ).

fof(f2972,plain,
    ( ~ spl0_426
    | spl0_433 ),
    inference(split_clause,[status(thm)],[f1061,f2918,f2969]) ).

fof(f2973,plain,
    ( ~ spl0_429
    | spl0_64 ),
    inference(split_clause,[status(thm)],[f1063,f2930,f1308]) ).

fof(f2978,plain,
    ( h1(e11) != op2(h1(e10),h1(e10))
    | spl0_138 ),
    inference(backward_demodulation,[status(thm)],[f278,f1608]) ).

fof(f2980,plain,
    e11 != op1(e10,e12),
    inference(backward_demodulation,[status(thm)],[f278,f141]) ).

fof(f2983,plain,
    e11 != op1(e12,e10),
    inference(backward_demodulation,[status(thm)],[f278,f117]) ).

fof(f2984,plain,
    e11 != op1(e11,e10),
    inference(backward_demodulation,[status(thm)],[f278,f116]) ).

fof(f2985,plain,
    ( h2(e11) != op2(h2(e10),h2(e10))
    | spl0_161 ),
    inference(backward_demodulation,[status(thm)],[f278,f1681]) ).

fof(f2986,plain,
    ( h3(e11) != op2(h3(e10),h3(e10))
    | spl0_184 ),
    inference(backward_demodulation,[status(thm)],[f278,f1754]) ).

fof(f2987,plain,
    ( h4(e11) != op2(h4(e10),h4(e10))
    | spl0_207 ),
    inference(backward_demodulation,[status(thm)],[f278,f1827]) ).

fof(f2988,plain,
    e12 = op1(op1(e10,e11),e10),
    inference(forward_demodulation,[status(thm)],[f278,f279]) ).

fof(f2989,plain,
    e13 = op1(e10,e11),
    inference(forward_demodulation,[status(thm)],[f278,f280]) ).

fof(f2990,plain,
    e12 = op1(e13,e10),
    inference(backward_demodulation,[status(thm)],[f2989,f2988]) ).

fof(f2991,plain,
    ( h1(e13) != op2(h1(e10),h1(e11))
    | spl0_139 ),
    inference(backward_demodulation,[status(thm)],[f2989,f1611]) ).

fof(f2993,plain,
    e13 != op1(e10,e12),
    inference(backward_demodulation,[status(thm)],[f2989,f143]) ).

fof(f2994,plain,
    e13 != op1(e13,e11),
    inference(backward_demodulation,[status(thm)],[f2989,f124]) ).

fof(f2995,plain,
    e13 != op1(e12,e11),
    inference(backward_demodulation,[status(thm)],[f2989,f123]) ).

fof(f2997,plain,
    ( h2(e13) != op2(h2(e10),h2(e11))
    | spl0_162 ),
    inference(backward_demodulation,[status(thm)],[f2989,f1684]) ).

fof(f2998,plain,
    ( h3(e13) != op2(h3(e10),h3(e11))
    | spl0_185 ),
    inference(backward_demodulation,[status(thm)],[f2989,f1757]) ).

fof(f2999,plain,
    ( h4(e13) != op2(h4(e10),h4(e11))
    | spl0_208 ),
    inference(backward_demodulation,[status(thm)],[f2989,f1830]) ).

fof(f3000,plain,
    e21 != op2(e20,e23),
    inference(backward_demodulation,[status(thm)],[f281,f190]) ).

fof(f3001,plain,
    e21 != op2(e20,e22),
    inference(backward_demodulation,[status(thm)],[f281,f189]) ).

fof(f3005,plain,
    e21 != op2(e21,e20),
    inference(backward_demodulation,[status(thm)],[f281,f164]) ).

fof(f3006,plain,
    e22 = op2(op2(e20,e21),e20),
    inference(forward_demodulation,[status(thm)],[f281,f282]) ).

fof(f3007,plain,
    e23 = op2(e20,e21),
    inference(forward_demodulation,[status(thm)],[f281,f283]) ).

fof(f3008,plain,
    e22 = op2(e23,e20),
    inference(backward_demodulation,[status(thm)],[f3007,f3006]) ).

fof(f3009,plain,
    e23 != op2(e20,e23),
    inference(backward_demodulation,[status(thm)],[f3007,f192]) ).

fof(f3010,plain,
    e23 != op2(e20,e22),
    inference(backward_demodulation,[status(thm)],[f3007,f191]) ).

fof(f3011,plain,
    e23 != op2(e23,e21),
    inference(backward_demodulation,[status(thm)],[f3007,f172]) ).

fof(f3012,plain,
    e23 != op2(e22,e21),
    inference(backward_demodulation,[status(thm)],[f3007,f171]) ).

fof(f3014,plain,
    ( $false
    | spl0_242 ),
    inference(forward_subsumption_resolution,[status(thm)],[f284,f1964]) ).

fof(f3015,plain,
    spl0_242,
    inference(contradiction_clause,[status(thm)],[f3014]) ).

fof(f3016,plain,
    h1(e11) = e21,
    inference(forward_demodulation,[status(thm)],[f281,f285]) ).

fof(f3017,plain,
    ( $false
    | spl0_247 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3016,f1984]) ).

fof(f3018,plain,
    spl0_247,
    inference(contradiction_clause,[status(thm)],[f3017]) ).

fof(f3019,plain,
    h1(e12) = op2(op2(e20,e21),e20),
    inference(forward_demodulation,[status(thm)],[f281,f286]) ).

fof(f3020,plain,
    h1(e12) = op2(e23,e20),
    inference(forward_demodulation,[status(thm)],[f3007,f3019]) ).

fof(f3022,plain,
    h1(e12) != op2(e23,e22),
    inference(backward_demodulation,[status(thm)],[f3020,f207]) ).

fof(f3023,plain,
    h1(e12) != op2(e23,e21),
    inference(backward_demodulation,[status(thm)],[f3020,f206]) ).

fof(f3024,plain,
    op2(e22,e20) != h1(e12),
    inference(backward_demodulation,[status(thm)],[f3020,f169]) ).

fof(f3026,plain,
    h1(e13) = op2(e20,e21),
    inference(forward_demodulation,[status(thm)],[f281,f287]) ).

fof(f3027,plain,
    h1(e13) = e23,
    inference(forward_demodulation,[status(thm)],[f3007,f3026]) ).

fof(f3031,plain,
    ( h1(op1(e10,e13)) != op2(h1(e10),e23)
    | spl0_141 ),
    inference(backward_demodulation,[status(thm)],[f3027,f1617]) ).

fof(f3032,plain,
    ( h1(op1(e11,e13)) != op2(h1(e11),e23)
    | spl0_145 ),
    inference(backward_demodulation,[status(thm)],[f3027,f1629]) ).

fof(f3033,plain,
    ( h1(op1(e12,e13)) != op2(h1(e12),e23)
    | spl0_149 ),
    inference(backward_demodulation,[status(thm)],[f3027,f1641]) ).

fof(f3034,plain,
    ( h1(op1(e13,e10)) != op2(e23,h1(e10))
    | spl0_150 ),
    inference(backward_demodulation,[status(thm)],[f3027,f1644]) ).

fof(f3035,plain,
    ( h1(op1(e13,e11)) != op2(e23,h1(e11))
    | spl0_151 ),
    inference(backward_demodulation,[status(thm)],[f3027,f1647]) ).

fof(f3036,plain,
    ( h1(op1(e13,e12)) != op2(e23,h1(e12))
    | spl0_152 ),
    inference(backward_demodulation,[status(thm)],[f3027,f1650]) ).

fof(f3037,plain,
    ( h1(op1(e13,e13)) != op2(h1(e13),e23)
    | spl0_153 ),
    inference(backward_demodulation,[status(thm)],[f3027,f1653]) ).

fof(f3038,plain,
    ( h1(op1(e13,e13)) != op2(e23,e23)
    | spl0_153 ),
    inference(forward_demodulation,[status(thm)],[f3027,f3037]) ).

fof(f3039,plain,
    ( $false
    | spl0_258 ),
    inference(forward_subsumption_resolution,[status(thm)],[f288,f2028]) ).

fof(f3040,plain,
    spl0_258,
    inference(contradiction_clause,[status(thm)],[f3039]) ).

fof(f3041,plain,
    h2(e11) != op2(e21,e23),
    inference(backward_demodulation,[status(thm)],[f289,f198]) ).

fof(f3042,plain,
    h2(e11) != op2(e21,e22),
    inference(backward_demodulation,[status(thm)],[f289,f197]) ).

fof(f3044,plain,
    h2(e11) != op2(e23,e21),
    inference(backward_demodulation,[status(thm)],[f289,f174]) ).

fof(f3045,plain,
    h2(e11) != op2(e22,e21),
    inference(backward_demodulation,[status(thm)],[f289,f173]) ).

fof(f3046,plain,
    h2(e12) = op2(op2(e21,h2(e11)),e21),
    inference(forward_demodulation,[status(thm)],[f289,f290]) ).

fof(f3047,plain,
    h2(e13) = op2(e21,h2(e11)),
    inference(forward_demodulation,[status(thm)],[f289,f291]) ).

fof(f3048,plain,
    h2(e12) = op2(h2(e13),e21),
    inference(backward_demodulation,[status(thm)],[f3047,f3046]) ).

fof(f3049,plain,
    ( $false
    | spl0_274 ),
    inference(forward_subsumption_resolution,[status(thm)],[f292,f2092]) ).

fof(f3050,plain,
    spl0_274,
    inference(contradiction_clause,[status(thm)],[f3049]) ).

fof(f3051,plain,
    h3(e11) != op2(e22,e23),
    inference(backward_demodulation,[status(thm)],[f293,f205]) ).

fof(f3052,plain,
    op2(e22,e21) != h3(e11),
    inference(backward_demodulation,[status(thm)],[f293,f203]) ).

fof(f3053,plain,
    op2(e22,e20) != h3(e11),
    inference(backward_demodulation,[status(thm)],[f293,f201]) ).

fof(f3054,plain,
    h3(e11) != op2(e23,e22),
    inference(backward_demodulation,[status(thm)],[f293,f181]) ).

fof(f3055,plain,
    op2(e21,e22) != h3(e11),
    inference(backward_demodulation,[status(thm)],[f293,f179]) ).

fof(f3056,plain,
    op2(e20,e22) != h3(e11),
    inference(backward_demodulation,[status(thm)],[f293,f177]) ).

fof(f3057,plain,
    h3(e12) = op2(op2(e22,h3(e11)),e22),
    inference(forward_demodulation,[status(thm)],[f293,f294]) ).

fof(f3058,plain,
    h3(e13) = op2(e22,h3(e11)),
    inference(forward_demodulation,[status(thm)],[f293,f295]) ).

fof(f3059,plain,
    h3(e12) = op2(h3(e13),e22),
    inference(backward_demodulation,[status(thm)],[f3058,f3057]) ).

fof(f3060,plain,
    ( $false
    | spl0_226 ),
    inference(forward_subsumption_resolution,[status(thm)],[f296,f1884]) ).

fof(f3061,plain,
    spl0_226,
    inference(contradiction_clause,[status(thm)],[f3060]) ).

fof(f3062,plain,
    op2(e23,e22) != h4(e11),
    inference(backward_demodulation,[status(thm)],[f297,f211]) ).

fof(f3064,plain,
    op2(e22,e23) != h4(e11),
    inference(backward_demodulation,[status(thm)],[f297,f187]) ).

fof(f3065,plain,
    op2(e21,e23) != h4(e11),
    inference(backward_demodulation,[status(thm)],[f297,f186]) ).

fof(f3066,plain,
    op2(e20,e23) != h4(e11),
    inference(backward_demodulation,[status(thm)],[f297,f184]) ).

fof(f3067,plain,
    h4(e12) = op2(op2(e23,h4(e11)),e23),
    inference(forward_demodulation,[status(thm)],[f297,f298]) ).

fof(f3068,plain,
    h4(e13) = op2(e23,h4(e11)),
    inference(forward_demodulation,[status(thm)],[f297,f299]) ).

fof(f3069,plain,
    h4(e12) = op2(h4(e13),e23),
    inference(backward_demodulation,[status(thm)],[f3068,f3067]) ).

fof(f3070,plain,
    ( h2(e11) = e20
    | ~ spl0_84 ),
    inference(forward_demodulation,[status(thm)],[f289,f1374]) ).

fof(f3071,plain,
    ( $false
    | spl0_255
    | ~ spl0_84 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3070,f2016]) ).

fof(f3072,plain,
    ( spl0_255
    | ~ spl0_84 ),
    inference(contradiction_clause,[status(thm)],[f3071]) ).

fof(f3073,plain,
    ( h2(e11) != e20
    | spl0_84 ),
    inference(forward_demodulation,[status(thm)],[f289,f1375]) ).

fof(f3074,plain,
    ( h3(e11) = e22
    | ~ spl0_106 ),
    inference(forward_demodulation,[status(thm)],[f293,f1445]) ).

fof(f3075,plain,
    ( $false
    | spl0_275
    | ~ spl0_106 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3074,f2096]) ).

fof(f3076,plain,
    ( spl0_275
    | ~ spl0_106 ),
    inference(contradiction_clause,[status(thm)],[f3075]) ).

fof(f3077,plain,
    ( e23 = e20
    | ~ spl0_68 ),
    inference(forward_demodulation,[status(thm)],[f3007,f1322]) ).

fof(f3078,plain,
    ( $false
    | ~ spl0_68 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3077,f220]) ).

fof(f3079,plain,
    ~ spl0_68,
    inference(contradiction_clause,[status(thm)],[f3078]) ).

fof(f3081,plain,
    ( h3(e11) != e22
    | spl0_106 ),
    inference(forward_demodulation,[status(thm)],[f293,f1446]) ).

fof(f3083,plain,
    ( h4(e11) = e23
    | ~ spl0_127 ),
    inference(forward_demodulation,[status(thm)],[f297,f1513]) ).

fof(f3084,plain,
    ( $false
    | spl0_227
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3083,f1888]) ).

fof(f3085,plain,
    ( spl0_227
    | ~ spl0_127 ),
    inference(contradiction_clause,[status(thm)],[f3084]) ).

fof(f3086,plain,
    ( e23 = e22
    | ~ spl0_70 ),
    inference(forward_demodulation,[status(thm)],[f3007,f1328]) ).

fof(f3087,plain,
    ( $false
    | ~ spl0_70 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3086,f223]) ).

fof(f3088,plain,
    ~ spl0_70,
    inference(contradiction_clause,[status(thm)],[f3087]) ).

fof(f3090,plain,
    ( h4(e11) = e22
    | ~ spl0_126 ),
    inference(forward_demodulation,[status(thm)],[f297,f1510]) ).

fof(f3091,plain,
    ( $false
    | spl0_287
    | ~ spl0_126 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3090,f2144]) ).

fof(f3092,plain,
    ( spl0_287
    | ~ spl0_126 ),
    inference(contradiction_clause,[status(thm)],[f3091]) ).

fof(f3093,plain,
    ( h4(e11) = e20
    | ~ spl0_124 ),
    inference(forward_demodulation,[status(thm)],[f297,f1504]) ).

fof(f3094,plain,
    ( $false
    | spl0_279
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3093,f2112]) ).

fof(f3095,plain,
    ( spl0_279
    | ~ spl0_124 ),
    inference(contradiction_clause,[status(thm)],[f3094]) ).

fof(f3096,plain,
    ( h4(e11) != e20
    | spl0_124 ),
    inference(forward_demodulation,[status(thm)],[f297,f1505]) ).

fof(f3097,plain,
    ( h1(e12) = e21
    | ~ spl0_113 ),
    inference(forward_demodulation,[status(thm)],[f3020,f1468]) ).

fof(f3098,plain,
    ( $false
    | spl0_248
    | ~ spl0_113 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3097,f1988]) ).

fof(f3099,plain,
    ( spl0_248
    | ~ spl0_113 ),
    inference(contradiction_clause,[status(thm)],[f3098]) ).

fof(f3100,plain,
    ( h3(e11) = e21
    | ~ spl0_105 ),
    inference(forward_demodulation,[status(thm)],[f293,f1442]) ).

fof(f3101,plain,
    ( $false
    | spl0_271
    | ~ spl0_105 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3100,f2080]) ).

fof(f3102,plain,
    ( spl0_271
    | ~ spl0_105 ),
    inference(contradiction_clause,[status(thm)],[f3101]) ).

fof(f3107,plain,
    ( e10 != op1(e11,e13)
    | ~ spl0_20 ),
    inference(backward_demodulation,[status(thm)],[f1134,f150]) ).

fof(f3110,plain,
    ( e10 != op1(e13,e11)
    | ~ spl0_20 ),
    inference(backward_demodulation,[status(thm)],[f1134,f126]) ).

fof(f3111,plain,
    ( e10 != op1(e12,e11)
    | ~ spl0_20 ),
    inference(backward_demodulation,[status(thm)],[f1134,f125]) ).

fof(f3124,plain,
    ( e10 = e11
    | ~ spl0_20
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f1134,f1137]) ).

fof(f3125,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3124,f212]) ).

fof(f3126,plain,
    ( ~ spl0_20
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f3125]) ).

fof(f3127,plain,
    ( e13 = e10
    | ~ spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f2989,f1082]) ).

fof(f3128,plain,
    ( $false
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3127,f214]) ).

fof(f3129,plain,
    ~ spl0_4,
    inference(contradiction_clause,[status(thm)],[f3128]) ).

fof(f3135,plain,
    ( e11 != op1(e12,e13)
    | ~ spl0_41 ),
    inference(backward_demodulation,[status(thm)],[f1202,f157]) ).

fof(f3136,plain,
    ( op1(e12,e11) != e11
    | ~ spl0_41 ),
    inference(backward_demodulation,[status(thm)],[f1202,f155]) ).

fof(f3139,plain,
    ( e11 != op1(e13,e12)
    | ~ spl0_41 ),
    inference(backward_demodulation,[status(thm)],[f1202,f133]) ).

fof(f3140,plain,
    ( ~ spl0_57
    | ~ spl0_41 ),
    inference(split_clause,[status(thm)],[f3139,f1253,f1201]) ).

fof(f3141,plain,
    ( op1(e11,e12) != e11
    | ~ spl0_41 ),
    inference(backward_demodulation,[status(thm)],[f1202,f131]) ).

fof(f3146,plain,
    ( h4(e11) = e21
    | ~ spl0_125 ),
    inference(forward_demodulation,[status(thm)],[f297,f1507]) ).

fof(f3147,plain,
    ( $false
    | spl0_283
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3146,f2128]) ).

fof(f3148,plain,
    ( spl0_283
    | ~ spl0_125 ),
    inference(contradiction_clause,[status(thm)],[f3147]) ).

fof(f3153,plain,
    ( e22 != op2(e21,e23)
    | ~ spl0_90 ),
    inference(backward_demodulation,[status(thm)],[f1393,f199]) ).

fof(f3154,plain,
    ( op2(e21,e20) != e22
    | ~ spl0_90 ),
    inference(backward_demodulation,[status(thm)],[f1393,f195]) ).

fof(f3155,plain,
    ( ~ spl0_82
    | ~ spl0_90 ),
    inference(split_clause,[status(thm)],[f3154,f1366,f1392]) ).

fof(f3157,plain,
    ( op2(e20,e22) != e22
    | ~ spl0_90 ),
    inference(backward_demodulation,[status(thm)],[f1393,f176]) ).

fof(f3158,plain,
    ( ~ spl0_74
    | ~ spl0_90 ),
    inference(split_clause,[status(thm)],[f3157,f1340,f1392]) ).

fof(f3159,plain,
    ( ~ spl0_279
    | spl0_124 ),
    inference(split_clause,[status(thm)],[f3096,f2110,f1503]) ).

fof(f3162,plain,
    ( op2(e21,e20) != e23
    | ~ spl0_95 ),
    inference(backward_demodulation,[status(thm)],[f1409,f196]) ).

fof(f3163,plain,
    ( ~ spl0_83
    | ~ spl0_95 ),
    inference(split_clause,[status(thm)],[f3162,f1369,f1408]) ).

fof(f3164,plain,
    ( e23 != op2(e22,e23)
    | ~ spl0_95 ),
    inference(backward_demodulation,[status(thm)],[f1409,f185]) ).

fof(f3172,plain,
    ( op1(e10,e12) != e12
    | ~ spl0_26 ),
    inference(backward_demodulation,[status(thm)],[f1153,f128]) ).

fof(f3173,plain,
    ( ~ spl0_10
    | ~ spl0_26 ),
    inference(split_clause,[status(thm)],[f3172,f1100,f1152]) ).

fof(f3177,plain,
    ( op1(e11,e10) != e13
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f1169,f148]) ).

fof(f3178,plain,
    ( ~ spl0_19
    | ~ spl0_31 ),
    inference(split_clause,[status(thm)],[f3177,f1129,f1168]) ).

fof(f3179,plain,
    ( e13 != op1(e12,e13)
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f1169,f137]) ).

fof(f3180,plain,
    ( ~ spl0_47
    | ~ spl0_31 ),
    inference(split_clause,[status(thm)],[f3179,f1220,f1168]) ).

fof(f3181,plain,
    ( op1(e10,e13) != e13
    | ~ spl0_31 ),
    inference(backward_demodulation,[status(thm)],[f1169,f134]) ).

fof(f3182,plain,
    ( h2(e13) != op2(h2(e11),h2(e13))
    | ~ spl0_31
    | spl0_168 ),
    inference(backward_demodulation,[status(thm)],[f1169,f1702]) ).

fof(f3185,plain,
    ( e11 = e13
    | ~ spl0_61
    | ~ spl0_63 ),
    inference(forward_demodulation,[status(thm)],[f1267,f1273]) ).

fof(f3186,plain,
    ( $false
    | ~ spl0_61
    | ~ spl0_63 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3185,f216]) ).

fof(f3187,plain,
    ( ~ spl0_61
    | ~ spl0_63 ),
    inference(contradiction_clause,[status(thm)],[f3186]) ).

fof(f3193,plain,
    ( h1(e10) != op2(h1(e11),h1(e10))
    | ~ spl0_16
    | spl0_142 ),
    inference(backward_demodulation,[status(thm)],[f1121,f1620]) ).

fof(f3195,plain,
    ( e10 != op1(e12,e10)
    | ~ spl0_16 ),
    inference(backward_demodulation,[status(thm)],[f1121,f119]) ).

fof(f3197,plain,
    ( h3(e10) != op2(h3(e11),h3(e10))
    | ~ spl0_16
    | spl0_188 ),
    inference(backward_demodulation,[status(thm)],[f1121,f1766]) ).

fof(f3198,plain,
    ( h4(e10) != op2(h4(e11),h4(e10))
    | ~ spl0_16
    | spl0_211 ),
    inference(backward_demodulation,[status(thm)],[f1121,f1839]) ).

fof(f3199,plain,
    ( e23 != e23
    | spl0_160 ),
    inference(forward_demodulation,[status(thm)],[f3027,f1677]) ).

fof(f3200,plain,
    ( $false
    | spl0_160 ),
    inference(trivial_equality_resolution,[status(esa)],[f3199]) ).

fof(f3201,plain,
    spl0_160,
    inference(contradiction_clause,[status(thm)],[f3200]) ).

fof(f3204,plain,
    ( h3(e11) != op2(e23,e22)
    | spl0_239 ),
    inference(forward_demodulation,[status(thm)],[f293,f1948]) ).

fof(f3208,plain,
    ( h4(e11) != op2(e20,e23)
    | spl0_407 ),
    inference(forward_demodulation,[status(thm)],[f297,f2808]) ).

fof(f3215,plain,
    ( h4(e11) != op2(e21,e23)
    | spl0_365 ),
    inference(forward_demodulation,[status(thm)],[f297,f2570]) ).

fof(f3216,plain,
    ( h4(e11) != e23
    | ~ spl0_95
    | spl0_365 ),
    inference(forward_demodulation,[status(thm)],[f1409,f3215]) ).

fof(f3223,plain,
    ( e11 != op1(e13,e10)
    | spl0_305 ),
    inference(forward_demodulation,[status(thm)],[f278,f2236]) ).

fof(f3225,plain,
    ( e23 = op2(e21,e20)
    | ~ spl0_396 ),
    inference(forward_demodulation,[status(thm)],[f3007,f2745]) ).

fof(f3227,plain,
    ( e23 != op2(e22,e20)
    | ~ spl0_396 ),
    inference(backward_demodulation,[status(thm)],[f3225,f167]) ).

fof(f3228,plain,
    ( e13 = op1(e11,e10)
    | ~ spl0_390 ),
    inference(forward_demodulation,[status(thm)],[f2989,f2713]) ).

fof(f3229,plain,
    ( e13 = e10
    | ~ spl0_16
    | ~ spl0_390 ),
    inference(forward_demodulation,[status(thm)],[f1121,f3228]) ).

fof(f3230,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_390 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3229,f214]) ).

fof(f3231,plain,
    ( ~ spl0_16
    | ~ spl0_390 ),
    inference(contradiction_clause,[status(thm)],[f3230]) ).

fof(f3233,plain,
    ( e11 = op1(e11,e10)
    | ~ spl0_391 ),
    inference(forward_demodulation,[status(thm)],[f278,f2717]) ).

fof(f3234,plain,
    ( h3(e11) != op2(e22,e23)
    | ~ spl0_238
    | spl0_239 ),
    inference(backward_demodulation,[status(thm)],[f1943,f3204]) ).

fof(f3235,plain,
    ( op2(e23,e21) != op2(e22,e23)
    | ~ spl0_238 ),
    inference(backward_demodulation,[status(thm)],[f1943,f209]) ).

fof(f3236,plain,
    ( op2(e20,e22) != op2(e22,e23)
    | ~ spl0_238 ),
    inference(backward_demodulation,[status(thm)],[f1943,f178]) ).

fof(f3239,plain,
    ( op1(e13,e10) != op1(e12,e13)
    | ~ spl0_232 ),
    inference(backward_demodulation,[status(thm)],[f1911,f159]) ).

fof(f3240,plain,
    ( op1(e10,e12) != op1(e12,e13)
    | ~ spl0_232 ),
    inference(backward_demodulation,[status(thm)],[f1911,f130]) ).

fof(f3250,plain,
    ( op1(e10,e12) != op1(e13,e10)
    | ~ spl0_348 ),
    inference(backward_demodulation,[status(thm)],[f2475,f121]) ).

fof(f3254,plain,
    ( op2(e20,e23) = h1(e12)
    | ~ spl0_310 ),
    inference(forward_demodulation,[status(thm)],[f3020,f2263]) ).

fof(f3255,plain,
    ( h4(e11) != h1(e12)
    | ~ spl0_310
    | spl0_407 ),
    inference(backward_demodulation,[status(thm)],[f3254,f3208]) ).

fof(f3256,plain,
    ( op2(e20,e22) != h1(e12)
    | ~ spl0_310 ),
    inference(backward_demodulation,[status(thm)],[f3254,f193]) ).

fof(f3258,plain,
    ( e11 != op1(e10,e13)
    | ~ spl0_304
    | spl0_305 ),
    inference(backward_demodulation,[status(thm)],[f2231,f3223]) ).

fof(f3259,plain,
    ( ~ spl0_13
    | ~ spl0_304
    | spl0_305 ),
    inference(split_clause,[status(thm)],[f3258,f1110,f2230,f2234]) ).

fof(f3265,plain,
    ( e11 = op1(e13,e10)
    | ~ spl0_305 ),
    inference(forward_demodulation,[status(thm)],[f278,f2235]) ).

fof(f3267,plain,
    ( e22 = op2(e22,e21)
    | ~ spl0_90
    | ~ spl0_342 ),
    inference(forward_demodulation,[status(thm)],[f1393,f2443]) ).

fof(f3268,plain,
    ( e22 != op2(e22,e23)
    | ~ spl0_90
    | ~ spl0_342 ),
    inference(backward_demodulation,[status(thm)],[f3267,f204]) ).

fof(f3269,plain,
    ( ~ spl0_110
    | ~ spl0_90
    | ~ spl0_342 ),
    inference(split_clause,[status(thm)],[f3268,f1457,f1392,f2442]) ).

fof(f3271,plain,
    ( op2(e21,e22) != e23
    | ~ spl0_95 ),
    inference(forward_demodulation,[status(thm)],[f1409,f199]) ).

fof(f3272,plain,
    ( e23 != op2(e21,e22)
    | ~ spl0_396 ),
    inference(forward_demodulation,[status(thm)],[f3225,f195]) ).

fof(f3275,plain,
    ( e23 = e22
    | ~ spl0_396
    | ~ spl0_82 ),
    inference(forward_demodulation,[status(thm)],[f3225,f1367]) ).

fof(f3276,plain,
    ( $false
    | ~ spl0_396
    | ~ spl0_82 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3275,f223]) ).

fof(f3277,plain,
    ( ~ spl0_396
    | ~ spl0_82 ),
    inference(contradiction_clause,[status(thm)],[f3276]) ).

fof(f3286,plain,
    ( e23 = op2(e23,e21)
    | ~ spl0_95
    | ~ spl0_298 ),
    inference(forward_demodulation,[status(thm)],[f1409,f2199]) ).

fof(f3291,plain,
    ( op2(e20,e21) = e20
    | ~ spl0_433 ),
    inference(forward_demodulation,[status(thm)],[f281,f2970]) ).

fof(f3292,plain,
    ( e23 = e20
    | ~ spl0_433 ),
    inference(forward_demodulation,[status(thm)],[f3007,f3291]) ).

fof(f3293,plain,
    ( $false
    | ~ spl0_433 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3292,f220]) ).

fof(f3294,plain,
    ~ spl0_433,
    inference(contradiction_clause,[status(thm)],[f3293]) ).

fof(f3297,plain,
    ( op2(e21,e23) = e21
    | ~ spl0_428 ),
    inference(forward_demodulation,[status(thm)],[f3007,f2927]) ).

fof(f3297_001,plain,
    ( op2(e21,e23) = e21
    | ~ spl0_428 ),
    inference(forward_demodulation,[status(thm)],[f3007,f2927]) ).

fof(f3298,plain,
    ( e23 = e21
    | ~ spl0_95
    | ~ spl0_428 ),
    inference(forward_demodulation,[status(thm)],[f1409,f3297]) ).

fof(f3299,plain,
    ( $false
    | ~ spl0_95
    | ~ spl0_428 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3298,f222]) ).

fof(f3300,plain,
    ( ~ spl0_95
    | ~ spl0_428 ),
    inference(contradiction_clause,[status(thm)],[f3299]) ).

fof(f3302,plain,
    ( h1(e12) != op2(e21,e23)
    | ~ spl0_310 ),
    inference(forward_demodulation,[status(thm)],[f3254,f182]) ).

fof(f3306,plain,
    ( op1(e10,e11) = e10
    | ~ spl0_431 ),
    inference(forward_demodulation,[status(thm)],[f278,f2950]) ).

fof(f3307,plain,
    ( e13 = e10
    | ~ spl0_431 ),
    inference(forward_demodulation,[status(thm)],[f2989,f3306]) ).

fof(f3308,plain,
    ( $false
    | ~ spl0_431 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3307,f214]) ).

fof(f3309,plain,
    ~ spl0_431,
    inference(contradiction_clause,[status(thm)],[f3308]) ).

fof(f3312,plain,
    ( op1(e11,e13) = e11
    | ~ spl0_423 ),
    inference(forward_demodulation,[status(thm)],[f2989,f2898]) ).

fof(f3312_002,plain,
    ( op1(e11,e13) = e11
    | ~ spl0_423 ),
    inference(forward_demodulation,[status(thm)],[f2989,f2898]) ).

fof(f3313,plain,
    ( e11 = op1(e13,e11)
    | ~ spl0_423
    | ~ spl0_292 ),
    inference(backward_demodulation,[status(thm)],[f3312,f2167]) ).

fof(f3316,plain,
    ( op1(e11,e13) != e11
    | spl0_423 ),
    inference(forward_demodulation,[status(thm)],[f2989,f2899]) ).

fof(f3317,plain,
    ( op2(e23,h4(e11)) = e23
    | ~ spl0_136 ),
    inference(forward_demodulation,[status(thm)],[f297,f1595]) ).

fof(f3318,plain,
    ( h4(e13) = e23
    | ~ spl0_136 ),
    inference(forward_demodulation,[status(thm)],[f3068,f3317]) ).

fof(f3319,plain,
    ( $false
    | spl0_229
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3318,f1896]) ).

fof(f3320,plain,
    ( spl0_229
    | ~ spl0_136 ),
    inference(contradiction_clause,[status(thm)],[f3319]) ).

fof(f3323,plain,
    ( op2(e23,h1(e12)) = e23
    | ~ spl0_310
    | ~ spl0_408 ),
    inference(forward_demodulation,[status(thm)],[f3254,f2811]) ).

fof(f3324,plain,
    ( op2(e20,e23) = e20
    | ~ spl0_396
    | ~ spl0_398 ),
    inference(forward_demodulation,[status(thm)],[f3225,f2753]) ).

fof(f3325,plain,
    ( h1(e12) = e20
    | ~ spl0_310
    | ~ spl0_396
    | ~ spl0_398 ),
    inference(forward_demodulation,[status(thm)],[f3254,f3324]) ).

fof(f3326,plain,
    ( $false
    | spl0_244
    | ~ spl0_310
    | ~ spl0_396
    | ~ spl0_398 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3325,f1972]) ).

fof(f3327,plain,
    ( spl0_244
    | ~ spl0_310
    | ~ spl0_396
    | ~ spl0_398 ),
    inference(contradiction_clause,[status(thm)],[f3326]) ).

fof(f3328,plain,
    ( op2(e21,h2(e11)) = e21
    | ~ spl0_386 ),
    inference(forward_demodulation,[status(thm)],[f289,f2689]) ).

fof(f3329,plain,
    ( h2(e13) = e21
    | ~ spl0_386 ),
    inference(forward_demodulation,[status(thm)],[f3047,f3328]) ).

fof(f3330,plain,
    ( $false
    | spl0_261
    | ~ spl0_386 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3329,f2040]) ).

fof(f3331,plain,
    ( spl0_261
    | ~ spl0_386 ),
    inference(contradiction_clause,[status(thm)],[f3330]) ).

fof(f3335,plain,
    ( op2(e22,h3(e11)) = e22
    | ~ spl0_332 ),
    inference(forward_demodulation,[status(thm)],[f293,f2387]) ).

fof(f3336,plain,
    ( h3(e13) = e22
    | ~ spl0_332 ),
    inference(forward_demodulation,[status(thm)],[f3058,f3335]) ).

fof(f3337,plain,
    ( $false
    | spl0_277
    | ~ spl0_332 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3336,f2104]) ).

fof(f3338,plain,
    ( spl0_277
    | ~ spl0_332 ),
    inference(contradiction_clause,[status(thm)],[f3337]) ).

fof(f3339,plain,
    ( op1(e12,e11) = e12
    | ~ spl0_41
    | ~ spl0_327 ),
    inference(forward_demodulation,[status(thm)],[f1202,f2358]) ).

fof(f3345,plain,
    ( op1(e12,e11) != e12
    | ~ spl0_41
    | spl0_327 ),
    inference(forward_demodulation,[status(thm)],[f1202,f2359]) ).

fof(f3346,plain,
    ( op2(e20,h1(e12)) = e20
    | ~ spl0_312 ),
    inference(forward_demodulation,[status(thm)],[f3020,f2271]) ).

fof(f3352,plain,
    ( h1(op1(e10,e12)) != op2(e20,h1(e12))
    | ~ spl0_242
    | spl0_140 ),
    inference(backward_demodulation,[status(thm)],[f1963,f1614]) ).

fof(f3360,plain,
    ( h1(op1(e13,e11)) != op2(e23,e21)
    | ~ spl0_247
    | spl0_151 ),
    inference(forward_demodulation,[status(thm)],[f1983,f3035]) ).

fof(f3363,plain,
    ( e21 != op2(h1(e10),h1(e10))
    | ~ spl0_247
    | spl0_138 ),
    inference(forward_demodulation,[status(thm)],[f1983,f2978]) ).

fof(f3364,plain,
    ( e21 != op2(e20,h1(e10))
    | ~ spl0_242
    | ~ spl0_247
    | spl0_138 ),
    inference(forward_demodulation,[status(thm)],[f1963,f3363]) ).

fof(f3365,plain,
    ( e21 != op2(e20,e20)
    | ~ spl0_242
    | ~ spl0_247
    | spl0_138 ),
    inference(forward_demodulation,[status(thm)],[f1963,f3364]) ).

fof(f3366,plain,
    ( e21 != e21
    | ~ spl0_242
    | ~ spl0_247
    | spl0_138 ),
    inference(forward_demodulation,[status(thm)],[f281,f3365]) ).

fof(f3367,plain,
    ( $false
    | ~ spl0_242
    | ~ spl0_247
    | spl0_138 ),
    inference(trivial_equality_resolution,[status(esa)],[f3366]) ).

fof(f3368,plain,
    ( ~ spl0_242
    | ~ spl0_247
    | spl0_138 ),
    inference(contradiction_clause,[status(thm)],[f3367]) ).

fof(f3376,plain,
    ( h2(op1(e10,e12)) != op2(e21,h2(e12))
    | ~ spl0_258
    | spl0_163 ),
    inference(backward_demodulation,[status(thm)],[f2027,f1687]) ).

fof(f3377,plain,
    ( h2(op1(e10,e13)) != op2(e21,h2(e13))
    | ~ spl0_258
    | spl0_164 ),
    inference(backward_demodulation,[status(thm)],[f2027,f1690]) ).

fof(f3381,plain,
    ( h3(op1(e10,e12)) != op2(e22,h3(e12))
    | ~ spl0_274
    | spl0_186 ),
    inference(backward_demodulation,[status(thm)],[f2091,f1760]) ).

fof(f3382,plain,
    ( h3(op1(e10,e13)) != op2(e22,h3(e13))
    | ~ spl0_274
    | spl0_187 ),
    inference(backward_demodulation,[status(thm)],[f2091,f1763]) ).

fof(f3386,plain,
    ( h4(op1(e10,e12)) != op2(e23,h4(e12))
    | ~ spl0_226
    | spl0_209 ),
    inference(backward_demodulation,[status(thm)],[f1883,f1833]) ).

fof(f3389,plain,
    ( h2(e13) = op2(e21,e20)
    | ~ spl0_255 ),
    inference(backward_demodulation,[status(thm)],[f2015,f3047]) ).

fof(f3390,plain,
    ( h2(e13) = e23
    | ~ spl0_396
    | ~ spl0_255 ),
    inference(forward_demodulation,[status(thm)],[f3225,f3389]) ).

fof(f3391,plain,
    ( $false
    | spl0_183
    | ~ spl0_396
    | ~ spl0_255 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3390,f1750]) ).

fof(f3392,plain,
    ( spl0_183
    | ~ spl0_396
    | ~ spl0_255 ),
    inference(contradiction_clause,[status(thm)],[f3391]) ).

fof(f3393,plain,
    ( h3(e11) = e20
    | ~ spl0_104 ),
    inference(forward_demodulation,[status(thm)],[f293,f1439]) ).

fof(f3394,plain,
    ( $false
    | spl0_267
    | ~ spl0_104 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3393,f2064]) ).

fof(f3395,plain,
    ( spl0_267
    | ~ spl0_104 ),
    inference(contradiction_clause,[status(thm)],[f3394]) ).

fof(f3396,plain,
    ( ~ spl0_227
    | ~ spl0_95
    | spl0_365 ),
    inference(split_clause,[status(thm)],[f3216,f1886,f1408,f2568]) ).

fof(f3398,plain,
    ( h1(e12) = e23
    | ~ spl0_115 ),
    inference(forward_demodulation,[status(thm)],[f3020,f1474]) ).

fof(f3402,plain,
    ( e23 != e23
    | ~ spl0_396
    | spl0_83 ),
    inference(forward_demodulation,[status(thm)],[f3225,f1371]) ).

fof(f3403,plain,
    ( $false
    | ~ spl0_396
    | spl0_83 ),
    inference(trivial_equality_resolution,[status(esa)],[f3402]) ).

fof(f3404,plain,
    ( ~ spl0_396
    | spl0_83 ),
    inference(contradiction_clause,[status(thm)],[f3403]) ).

fof(f3405,plain,
    ( e20 = op2(e21,e21)
    | ~ spl0_255 ),
    inference(backward_demodulation,[status(thm)],[f2015,f289]) ).

fof(f3412,plain,
    ( ~ spl0_275
    | spl0_106 ),
    inference(split_clause,[status(thm)],[f3081,f2094,f1444]) ).

fof(f3413,plain,
    ( op2(e22,e23) = e20
    | ~ spl0_238
    | ~ spl0_120 ),
    inference(forward_demodulation,[status(thm)],[f1943,f1491]) ).

fof(f3414,plain,
    ( op2(e22,e23) = e21
    | ~ spl0_238
    | ~ spl0_121 ),
    inference(forward_demodulation,[status(thm)],[f1943,f1494]) ).

fof(f3415,plain,
    ( h4(e11) = op2(e21,e23)
    | ~ spl0_365 ),
    inference(forward_demodulation,[status(thm)],[f297,f2569]) ).

fof(f3416,plain,
    ( spl0_93
    | ~ spl0_428 ),
    inference(split_clause,[status(thm)],[f3297,f1402,f2926]) ).

fof(f3417,plain,
    ( op2(e21,e23) != e21
    | spl0_428 ),
    inference(forward_demodulation,[status(thm)],[f3007,f2928]) ).

fof(f3418,plain,
    ( op2(e20,e22) = e20
    | ~ spl0_354
    | ~ spl0_96 ),
    inference(forward_demodulation,[status(thm)],[f2507,f1413]) ).

fof(f3419,plain,
    ( op2(e22,e23) != e22
    | ~ spl0_238
    | spl0_122 ),
    inference(forward_demodulation,[status(thm)],[f1943,f1498]) ).

fof(f3420,plain,
    ( op2(e20,e23) != h1(e12)
    | spl0_310 ),
    inference(forward_demodulation,[status(thm)],[f3020,f2264]) ).

fof(f3421,plain,
    ( h3(e11) = op2(e21,e22)
    | ~ spl0_375 ),
    inference(forward_demodulation,[status(thm)],[f293,f2627]) ).

fof(f3423,plain,
    ( h4(e13) = op2(e23,e22)
    | ~ spl0_287 ),
    inference(backward_demodulation,[status(thm)],[f2143,f3068]) ).

fof(f3429,plain,
    ( e21 = op2(e23,e20)
    | ~ spl0_311 ),
    inference(forward_demodulation,[status(thm)],[f281,f2267]) ).

fof(f3430,plain,
    ( e21 = h1(e12)
    | ~ spl0_311 ),
    inference(forward_demodulation,[status(thm)],[f3020,f3429]) ).

fof(f3433,plain,
    ( h3(e13) = op2(e22,e21)
    | ~ spl0_271 ),
    inference(backward_demodulation,[status(thm)],[f2079,f3058]) ).

fof(f3436,plain,
    ( op2(e20,e22) != e20
    | ~ spl0_354
    | spl0_96 ),
    inference(forward_demodulation,[status(thm)],[f2507,f1414]) ).

fof(f3438,plain,
    ( h1(op1(e11,e11)) != op2(e21,h1(e11))
    | ~ spl0_247
    | spl0_143 ),
    inference(forward_demodulation,[status(thm)],[f1983,f1623]) ).

fof(f3439,plain,
    ( h1(op1(e11,e11)) != op2(e21,e21)
    | ~ spl0_247
    | spl0_143 ),
    inference(forward_demodulation,[status(thm)],[f1983,f3438]) ).

fof(f3442,plain,
    ( h2(e11) != op2(e21,h2(e10))
    | ~ spl0_258
    | spl0_161 ),
    inference(forward_demodulation,[status(thm)],[f2027,f2985]) ).

fof(f3443,plain,
    ( h2(e11) != op2(e21,e21)
    | ~ spl0_258
    | spl0_161 ),
    inference(forward_demodulation,[status(thm)],[f2027,f3442]) ).

fof(f3449,plain,
    ( e22 = e21
    | ~ spl0_287
    | ~ spl0_283 ),
    inference(forward_demodulation,[status(thm)],[f2143,f2127]) ).

fof(f3450,plain,
    ( $false
    | ~ spl0_287
    | ~ spl0_283 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3449,f221]) ).

fof(f3451,plain,
    ( ~ spl0_287
    | ~ spl0_283 ),
    inference(contradiction_clause,[status(thm)],[f3450]) ).

fof(f3453,plain,
    ( e22 = e20
    | ~ spl0_287
    | ~ spl0_124 ),
    inference(forward_demodulation,[status(thm)],[f2143,f3093]) ).

fof(f3454,plain,
    ( $false
    | ~ spl0_287
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3453,f219]) ).

fof(f3455,plain,
    ( ~ spl0_287
    | ~ spl0_124 ),
    inference(contradiction_clause,[status(thm)],[f3454]) ).

fof(f3457,plain,
    ( e21 = e22
    | ~ spl0_271
    | ~ spl0_106 ),
    inference(forward_demodulation,[status(thm)],[f2079,f3074]) ).

fof(f3458,plain,
    ( $false
    | ~ spl0_271
    | ~ spl0_106 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3457,f221]) ).

fof(f3459,plain,
    ( ~ spl0_271
    | ~ spl0_106 ),
    inference(contradiction_clause,[status(thm)],[f3458]) ).

fof(f3462,plain,
    ( spl0_159
    | ~ spl0_115 ),
    inference(split_clause,[status(thm)],[f3398,f1671,f1473]) ).

fof(f3464,plain,
    ( e21 = e20
    | ~ spl0_271
    | ~ spl0_104 ),
    inference(forward_demodulation,[status(thm)],[f2079,f3393]) ).

fof(f3465,plain,
    ( $false
    | ~ spl0_271
    | ~ spl0_104 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3464,f218]) ).

fof(f3466,plain,
    ( ~ spl0_271
    | ~ spl0_104 ),
    inference(contradiction_clause,[status(thm)],[f3465]) ).

fof(f3468,plain,
    ( h3(e11) != e20
    | spl0_104 ),
    inference(forward_demodulation,[status(thm)],[f293,f1440]) ).

fof(f3469,plain,
    ( ~ spl0_267
    | spl0_104 ),
    inference(split_clause,[status(thm)],[f3468,f2062,f1438]) ).

fof(f3470,plain,
    ( e23 != e23
    | spl0_71 ),
    inference(forward_demodulation,[status(thm)],[f3007,f1332]) ).

fof(f3471,plain,
    ( $false
    | spl0_71 ),
    inference(trivial_equality_resolution,[status(esa)],[f3470]) ).

fof(f3472,plain,
    spl0_71,
    inference(contradiction_clause,[status(thm)],[f3471]) ).

fof(f3473,plain,
    ( e21 != op2(e23,e22)
    | ~ spl0_271
    | spl0_239 ),
    inference(forward_demodulation,[status(thm)],[f2079,f3204]) ).

fof(f3475,plain,
    ( e22 != h1(e12)
    | ~ spl0_287
    | ~ spl0_310
    | spl0_407 ),
    inference(forward_demodulation,[status(thm)],[f2143,f3255]) ).

fof(f3478,plain,
    ( op2(e20,e23) != e20
    | ~ spl0_396
    | spl0_398 ),
    inference(forward_demodulation,[status(thm)],[f3225,f2754]) ).

fof(f3480,plain,
    ( op2(e20,e22) = e20
    | ~ spl0_252
    | ~ spl0_312 ),
    inference(backward_demodulation,[status(thm)],[f2003,f3346]) ).

fof(f3482,plain,
    ( h1(op1(e11,e12)) != op2(e21,h1(e12))
    | ~ spl0_247
    | spl0_144 ),
    inference(forward_demodulation,[status(thm)],[f1983,f1626]) ).

fof(f3483,plain,
    ( h1(op1(e11,e12)) != op2(e21,e22)
    | ~ spl0_252
    | ~ spl0_247
    | spl0_144 ),
    inference(forward_demodulation,[status(thm)],[f2003,f3482]) ).

fof(f3491,plain,
    ( h2(op1(e11,e10)) != op2(h2(e11),e21)
    | ~ spl0_258
    | spl0_165 ),
    inference(forward_demodulation,[status(thm)],[f2027,f1693]) ).

fof(f3495,plain,
    ( e23 != op2(h1(e10),h1(e11))
    | spl0_139 ),
    inference(forward_demodulation,[status(thm)],[f3027,f2991]) ).

fof(f3496,plain,
    ( e23 != op2(e20,h1(e11))
    | ~ spl0_242
    | spl0_139 ),
    inference(forward_demodulation,[status(thm)],[f1963,f3495]) ).

fof(f3497,plain,
    ( e23 != op2(e20,e21)
    | ~ spl0_247
    | ~ spl0_242
    | spl0_139 ),
    inference(forward_demodulation,[status(thm)],[f1983,f3496]) ).

fof(f3498,plain,
    ( e23 != e23
    | ~ spl0_247
    | ~ spl0_242
    | spl0_139 ),
    inference(forward_demodulation,[status(thm)],[f3007,f3497]) ).

fof(f3499,plain,
    ( $false
    | ~ spl0_247
    | ~ spl0_242
    | spl0_139 ),
    inference(trivial_equality_resolution,[status(esa)],[f3498]) ).

fof(f3500,plain,
    ( ~ spl0_247
    | ~ spl0_242
    | spl0_139 ),
    inference(contradiction_clause,[status(thm)],[f3499]) ).

fof(f3505,plain,
    ( h2(e13) != op2(e21,h2(e11))
    | ~ spl0_258
    | spl0_162 ),
    inference(forward_demodulation,[status(thm)],[f2027,f2997]) ).

fof(f3535,plain,
    ( h3(e13) != op2(e22,h3(e11))
    | ~ spl0_274
    | spl0_185 ),
    inference(forward_demodulation,[status(thm)],[f2091,f2998]) ).

fof(f3550,plain,
    ( ~ spl0_15
    | ~ spl0_31 ),
    inference(split_clause,[status(thm)],[f3181,f1116,f1168]) ).

fof(f3564,plain,
    ( h1(op1(e13,e10)) != op2(e23,e20)
    | ~ spl0_242
    | spl0_150 ),
    inference(forward_demodulation,[status(thm)],[f1963,f3034]) ).

fof(f3566,plain,
    ( h2(op1(e13,e10)) != op2(h2(e13),e21)
    | ~ spl0_258
    | spl0_173 ),
    inference(forward_demodulation,[status(thm)],[f2027,f1717]) ).

fof(f3567,plain,
    ( h3(op1(e13,e10)) != op2(h3(e13),e22)
    | ~ spl0_274
    | spl0_196 ),
    inference(forward_demodulation,[status(thm)],[f2091,f1790]) ).

fof(f3570,plain,
    ( e23 = e21
    | ~ spl0_69 ),
    inference(forward_demodulation,[status(thm)],[f3007,f1325]) ).

fof(f3571,plain,
    ( $false
    | ~ spl0_69 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3570,f222]) ).

fof(f3572,plain,
    ~ spl0_69,
    inference(contradiction_clause,[status(thm)],[f3571]) ).

fof(f3574,plain,
    ( e13 = e11
    | ~ spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f2989,f1085]) ).

fof(f3575,plain,
    ( $false
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3574,f216]) ).

fof(f3576,plain,
    ~ spl0_5,
    inference(contradiction_clause,[status(thm)],[f3575]) ).

fof(f3584,plain,
    ( op1(e10,e12) != op1(e12,e12)
    | ~ spl0_348 ),
    inference(forward_demodulation,[status(thm)],[f2475,f153]) ).

fof(f3585,plain,
    ( op1(e10,e12) = e10
    | ~ spl0_348
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f2475,f1173]) ).

fof(f3592,plain,
    ( e11 = op1(e12,e10)
    | ~ spl0_349 ),
    inference(forward_demodulation,[status(thm)],[f278,f2479]) ).

fof(f3595,plain,
    ( h4(op1(e13,e10)) != op2(h4(e13),e23)
    | ~ spl0_226
    | spl0_219 ),
    inference(forward_demodulation,[status(thm)],[f1883,f1863]) ).

fof(f3597,plain,
    ( h4(e13) != op2(e23,h4(e11))
    | ~ spl0_226
    | spl0_208 ),
    inference(forward_demodulation,[status(thm)],[f1883,f2999]) ).

fof(f3599,plain,
    ( e21 != op2(e22,e23)
    | ~ spl0_271
    | ~ spl0_238
    | spl0_239 ),
    inference(forward_demodulation,[status(thm)],[f2079,f3234]) ).

fof(f3601,plain,
    ( op2(e21,e21) = e21
    | ~ spl0_117
    | ~ spl0_300 ),
    inference(backward_demodulation,[status(thm)],[f1481,f2207]) ).

fof(f3602,plain,
    ( op1(e11,e11) = e11
    | ~ spl0_53
    | ~ spl0_294 ),
    inference(backward_demodulation,[status(thm)],[f1241,f2175]) ).

fof(f3603,plain,
    ( spl0_21
    | ~ spl0_53
    | ~ spl0_294 ),
    inference(split_clause,[status(thm)],[f3602,f1136,f1240,f2174]) ).

fof(f3606,plain,
    ( ~ spl0_45
    | ~ spl0_41 ),
    inference(split_clause,[status(thm)],[f3135,f1214,f1201]) ).

fof(f3607,plain,
    ( e11 != e11
    | ~ spl0_37
    | ~ spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f1189,f3136]) ).

fof(f3608,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_41 ),
    inference(trivial_equality_resolution,[status(esa)],[f3607]) ).

fof(f3609,plain,
    ( ~ spl0_37
    | ~ spl0_41 ),
    inference(contradiction_clause,[status(thm)],[f3608]) ).

fof(f3612,plain,
    ( op1(e10,e12) != e10
    | ~ spl0_348
    | spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f2475,f1174]) ).

fof(f3614,plain,
    ( op1(e10,e12) = e13
    | ~ spl0_348
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f2475,f1182]) ).

fof(f3623,plain,
    ( op2(e23,e20) = e23
    | ~ spl0_92
    | ~ spl0_366 ),
    inference(backward_demodulation,[status(thm)],[f1400,f2573]) ).

fof(f3637,plain,
    ( e13 = e12
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f2989,f1088]) ).

fof(f3638,plain,
    ( $false
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3637,f217]) ).

fof(f3639,plain,
    ~ spl0_6,
    inference(contradiction_clause,[status(thm)],[f3638]) ).

fof(f3653,plain,
    ( ~ spl0_36
    | ~ spl0_20 ),
    inference(split_clause,[status(thm)],[f3111,f1185,f1133]) ).

fof(f3661,plain,
    ( e13 = e10
    | ~ spl0_35
    | ~ spl0_348
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f3614,f3585]) ).

fof(f3662,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_348
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3661,f214]) ).

fof(f3663,plain,
    ( ~ spl0_35
    | ~ spl0_348
    | ~ spl0_32 ),
    inference(contradiction_clause,[status(thm)],[f3662]) ).

fof(f3664,plain,
    ( ~ spl0_29
    | spl0_423 ),
    inference(split_clause,[status(thm)],[f3316,f1162,f2897]) ).

fof(f3666,plain,
    ( e11 = e13
    | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f278,f1078]) ).

fof(f3667,plain,
    ( $false
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3666,f216]) ).

fof(f3668,plain,
    ~ spl0_3,
    inference(contradiction_clause,[status(thm)],[f3667]) ).

fof(f3672,plain,
    ( ~ spl0_28
    | ~ spl0_20 ),
    inference(split_clause,[status(thm)],[f3107,f1159,f1133]) ).

fof(f3673,plain,
    ( spl0_53
    | ~ spl0_423
    | ~ spl0_292 ),
    inference(split_clause,[status(thm)],[f3313,f1240,f2897,f2166]) ).

fof(f3674,plain,
    ( ~ spl0_8
    | ~ spl0_348
    | spl0_32 ),
    inference(split_clause,[status(thm)],[f3612,f1094,f2474,f1172]) ).

fof(f3675,plain,
    ( e11 = e10
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f278,f1069]) ).

fof(f3676,plain,
    ( $false
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3675,f212]) ).

fof(f3677,plain,
    ~ spl0_0,
    inference(contradiction_clause,[status(thm)],[f3676]) ).

fof(f3679,plain,
    ( spl0_33
    | ~ spl0_349 ),
    inference(split_clause,[status(thm)],[f3592,f1175,f2478]) ).

fof(f3683,plain,
    ( h2(op1(e12,e10)) != op2(h2(e12),e21)
    | ~ spl0_258
    | spl0_169 ),
    inference(forward_demodulation,[status(thm)],[f2027,f1705]) ).

fof(f3684,plain,
    ( h3(op1(e12,e10)) != op2(h3(e12),e22)
    | ~ spl0_274
    | spl0_192 ),
    inference(forward_demodulation,[status(thm)],[f2091,f1778]) ).

fof(f3688,plain,
    ( ~ spl0_38
    | ~ spl0_41
    | spl0_327 ),
    inference(split_clause,[status(thm)],[f3345,f1191,f1201,f2357]) ).

fof(f3689,plain,
    ( e12 = e13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f1114,f1117]) ).

fof(f3690,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3689,f217]) ).

fof(f3691,plain,
    ( ~ spl0_14
    | ~ spl0_15 ),
    inference(contradiction_clause,[status(thm)],[f3690]) ).

fof(f3694,plain,
    ( spl0_29
    | ~ spl0_423 ),
    inference(split_clause,[status(thm)],[f3312,f1162,f2897]) ).

fof(f3696,plain,
    ( op2(e23,e21) = e23
    | ~ spl0_109
    | ~ spl0_322 ),
    inference(backward_demodulation,[status(thm)],[f1455,f2329]) ).

fof(f3697,plain,
    ( spl0_119
    | ~ spl0_109
    | ~ spl0_322 ),
    inference(split_clause,[status(thm)],[f3696,f1486,f1454,f2328]) ).

fof(f3698,plain,
    ( e21 = e20
    | ~ spl0_64 ),
    inference(forward_demodulation,[status(thm)],[f281,f1309]) ).

fof(f3699,plain,
    ( $false
    | ~ spl0_64 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3698,f218]) ).

fof(f3700,plain,
    ~ spl0_64,
    inference(contradiction_clause,[status(thm)],[f3699]) ).

fof(f3703,plain,
    ( ~ spl0_91
    | ~ spl0_95 ),
    inference(split_clause,[status(thm)],[f3271,f1395,f1408]) ).

fof(f3706,plain,
    ( e23 != op2(e21,e20)
    | spl0_396 ),
    inference(forward_demodulation,[status(thm)],[f3007,f2746]) ).

fof(f3709,plain,
    ( h3(op1(e11,e10)) != op2(h3(e11),e22)
    | ~ spl0_274
    | spl0_188 ),
    inference(forward_demodulation,[status(thm)],[f2091,f1766]) ).

fof(f3711,plain,
    ( h3(e11) != op2(e22,h3(e10))
    | ~ spl0_274
    | spl0_184 ),
    inference(forward_demodulation,[status(thm)],[f2091,f2986]) ).

fof(f3712,plain,
    ( h3(e11) != op2(e22,e22)
    | ~ spl0_274
    | spl0_184 ),
    inference(forward_demodulation,[status(thm)],[f2091,f3711]) ).

fof(f3713,plain,
    ( ~ spl0_255
    | spl0_84 ),
    inference(split_clause,[status(thm)],[f3073,f2014,f1373]) ).

fof(f3714,plain,
    ( ~ spl0_72
    | ~ spl0_354
    | spl0_96 ),
    inference(split_clause,[status(thm)],[f3436,f1334,f2506,f1412]) ).

fof(f3716,plain,
    ( e20 != op2(e23,e22)
    | ~ spl0_108
    | spl0_238 ),
    inference(forward_demodulation,[status(thm)],[f1452,f1944]) ).

fof(f3719,plain,
    ( e20 = e21
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(forward_demodulation,[status(thm)],[f1452,f1455]) ).

fof(f3720,plain,
    ( $false
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3719,f218]) ).

fof(f3721,plain,
    ( ~ spl0_108
    | ~ spl0_109 ),
    inference(contradiction_clause,[status(thm)],[f3720]) ).

fof(f3729,plain,
    ( h4(op1(e11,e10)) != op2(h4(e11),e23)
    | ~ spl0_226
    | spl0_211 ),
    inference(forward_demodulation,[status(thm)],[f1883,f1839]) ).

fof(f3730,plain,
    ( h4(e11) != op2(e23,h4(e10))
    | ~ spl0_226
    | spl0_207 ),
    inference(forward_demodulation,[status(thm)],[f1883,f2987]) ).

fof(f3731,plain,
    ( h4(e11) != op2(e23,e23)
    | ~ spl0_226
    | spl0_207 ),
    inference(forward_demodulation,[status(thm)],[f1883,f3730]) ).

fof(f3735,plain,
    ( e20 = e23
    | ~ spl0_108
    | ~ spl0_111 ),
    inference(forward_demodulation,[status(thm)],[f1452,f1461]) ).

fof(f3736,plain,
    ( $false
    | ~ spl0_108
    | ~ spl0_111 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3735,f220]) ).

fof(f3737,plain,
    ( ~ spl0_108
    | ~ spl0_111 ),
    inference(contradiction_clause,[status(thm)],[f3736]) ).

fof(f3738,plain,
    ( e21 = op2(e21,e20)
    | ~ spl0_397 ),
    inference(forward_demodulation,[status(thm)],[f281,f2749]) ).

fof(f3739,plain,
    ( e22 = e21
    | ~ spl0_252
    | ~ spl0_248 ),
    inference(forward_demodulation,[status(thm)],[f2003,f1987]) ).

fof(f3740,plain,
    ( $false
    | ~ spl0_252
    | ~ spl0_248 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3739,f221]) ).

fof(f3741,plain,
    ( ~ spl0_252
    | ~ spl0_248 ),
    inference(contradiction_clause,[status(thm)],[f3740]) ).

fof(f3749,plain,
    ( op2(e23,e21) != e20
    | ~ spl0_108
    | ~ spl0_238 ),
    inference(forward_demodulation,[status(thm)],[f1452,f3235]) ).

fof(f3750,plain,
    ( op2(e20,e22) != e20
    | ~ spl0_108
    | ~ spl0_238 ),
    inference(forward_demodulation,[status(thm)],[f1452,f3236]) ).

fof(f3754,plain,
    ( spl0_109
    | ~ spl0_238
    | ~ spl0_121 ),
    inference(split_clause,[status(thm)],[f3414,f1454,f1942,f1493]) ).

fof(f3757,plain,
    ( h1(op1(e12,e10)) != op2(h1(e12),e20)
    | ~ spl0_242
    | spl0_146 ),
    inference(forward_demodulation,[status(thm)],[f1963,f1632]) ).

fof(f3767,plain,
    ( e21 = e22
    | ~ spl0_66 ),
    inference(forward_demodulation,[status(thm)],[f281,f1315]) ).

fof(f3768,plain,
    ( $false
    | ~ spl0_66 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3767,f221]) ).

fof(f3769,plain,
    ~ spl0_66,
    inference(contradiction_clause,[status(thm)],[f3768]) ).

fof(f3772,plain,
    ( e11 = e12
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f278,f1075]) ).

fof(f3773,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3772,f215]) ).

fof(f3774,plain,
    ~ spl0_2,
    inference(contradiction_clause,[status(thm)],[f3773]) ).

fof(f3776,plain,
    ( op2(e20,e22) != h1(e12)
    | ~ spl0_354 ),
    inference(forward_demodulation,[status(thm)],[f2507,f3024]) ).

fof(f3784,plain,
    ( e23 != h4(e11)
    | ~ spl0_123 ),
    inference(backward_demodulation,[status(thm)],[f1500,f3062]) ).

fof(f3792,plain,
    ( e22 = e20
    | ~ spl0_112 ),
    inference(forward_demodulation,[status(thm)],[f3008,f1465]) ).

fof(f3793,plain,
    ( $false
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3792,f219]) ).

fof(f3794,plain,
    ~ spl0_112,
    inference(contradiction_clause,[status(thm)],[f3793]) ).

fof(f3795,plain,
    ( e20 != op2(e22,e20)
    | ~ spl0_80 ),
    inference(forward_demodulation,[status(thm)],[f1361,f167]) ).

fof(f3798,plain,
    ( e21 = op2(e22,e20)
    | ~ spl0_355 ),
    inference(forward_demodulation,[status(thm)],[f281,f2511]) ).

fof(f3805,plain,
    ( e10 != op1(e13,e13)
    | ~ spl0_52 ),
    inference(forward_demodulation,[status(thm)],[f1238,f162]) ).

fof(f3806,plain,
    e12 != op1(e13,e13),
    inference(forward_demodulation,[status(thm)],[f2990,f160]) ).

fof(f3810,plain,
    ( e13 != op1(e11,e13)
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f1156,f151]) ).

fof(f3812,plain,
    ( op1(e11,e10) != e13
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f1156,f147]) ).

fof(f3813,plain,
    ( e13 != op1(e13,e12)
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f1156,f132]) ).

fof(f3814,plain,
    ( e10 != op1(e11,e12)
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f1095,f128]) ).

fof(f3817,plain,
    ( e12 != op1(e12,e13)
    | ~ spl0_30 ),
    inference(forward_demodulation,[status(thm)],[f1166,f137]) ).

fof(f3819,plain,
    ( e12 != op1(e11,e13)
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f1114,f134]) ).

fof(f3820,plain,
    ( e12 != e12
    | ~ spl0_30
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f1166,f3819]) ).

fof(f3821,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_14 ),
    inference(trivial_equality_resolution,[status(esa)],[f3820]) ).

fof(f3822,plain,
    ( ~ spl0_30
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f3821]) ).

fof(f3823,plain,
    ( op1(e11,e13) != e10
    | ~ spl0_44 ),
    inference(forward_demodulation,[status(thm)],[f1212,f137]) ).

fof(f3824,plain,
    ( ~ spl0_31
    | ~ spl0_27 ),
    inference(split_clause,[status(thm)],[f3810,f1168,f1155]) ).

fof(f3825,plain,
    ( ~ spl0_24
    | ~ spl0_8 ),
    inference(split_clause,[status(thm)],[f3814,f1146,f1094]) ).

fof(f3829,plain,
    ( op1(e10,e13) = e10
    | ~ spl0_390
    | ~ spl0_392 ),
    inference(backward_demodulation,[status(thm)],[f3228,f2721]) ).

fof(f3830,plain,
    ( spl0_12
    | ~ spl0_390
    | ~ spl0_392 ),
    inference(split_clause,[status(thm)],[f3829,f1107,f2712,f2720]) ).

fof(f3831,plain,
    ( e20 != op2(h1(e11),h1(e10))
    | ~ spl0_242
    | ~ spl0_16
    | spl0_142 ),
    inference(forward_demodulation,[status(thm)],[f1963,f3193]) ).

fof(f3832,plain,
    ( e20 != op2(e21,h1(e10))
    | ~ spl0_247
    | ~ spl0_242
    | ~ spl0_16
    | spl0_142 ),
    inference(forward_demodulation,[status(thm)],[f1983,f3831]) ).

fof(f3833,plain,
    ( e20 != op2(e21,e20)
    | ~ spl0_247
    | ~ spl0_242
    | ~ spl0_16
    | spl0_142 ),
    inference(forward_demodulation,[status(thm)],[f1963,f3832]) ).

fof(f3834,plain,
    ( e20 != e20
    | ~ spl0_80
    | ~ spl0_247
    | ~ spl0_242
    | ~ spl0_16
    | spl0_142 ),
    inference(forward_demodulation,[status(thm)],[f1361,f3833]) ).

fof(f3835,plain,
    ( $false
    | ~ spl0_80
    | ~ spl0_247
    | ~ spl0_242
    | ~ spl0_16
    | spl0_142 ),
    inference(trivial_equality_resolution,[status(esa)],[f3834]) ).

fof(f3836,plain,
    ( ~ spl0_80
    | ~ spl0_247
    | ~ spl0_242
    | ~ spl0_16
    | spl0_142 ),
    inference(contradiction_clause,[status(thm)],[f3835]) ).

fof(f3838,plain,
    ( ~ spl0_32
    | ~ spl0_16 ),
    inference(split_clause,[status(thm)],[f3195,f1172,f1120]) ).

fof(f3841,plain,
    ( e22 != op2(h3(e11),h3(e10))
    | ~ spl0_274
    | ~ spl0_16
    | spl0_188 ),
    inference(forward_demodulation,[status(thm)],[f2091,f3197]) ).

fof(f3842,plain,
    ( e22 != op2(h3(e11),e22)
    | ~ spl0_274
    | ~ spl0_16
    | spl0_188 ),
    inference(forward_demodulation,[status(thm)],[f2091,f3841]) ).

fof(f3843,plain,
    ( e23 != op2(h4(e11),h4(e10))
    | ~ spl0_226
    | ~ spl0_16
    | spl0_211 ),
    inference(forward_demodulation,[status(thm)],[f1883,f3198]) ).

fof(f3844,plain,
    ( e23 != op2(h4(e11),e23)
    | ~ spl0_226
    | ~ spl0_16
    | spl0_211 ),
    inference(forward_demodulation,[status(thm)],[f1883,f3843]) ).

fof(f3849,plain,
    ( e10 = e12
    | ~ spl0_44
    | ~ spl0_46 ),
    inference(forward_demodulation,[status(thm)],[f1212,f1218]) ).

fof(f3850,plain,
    ( $false
    | ~ spl0_44
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3849,f213]) ).

fof(f3851,plain,
    ( ~ spl0_44
    | ~ spl0_46 ),
    inference(contradiction_clause,[status(thm)],[f3850]) ).

fof(f3860,plain,
    ( op1(e11,e10) = e11
    | ~ spl0_52
    | ~ spl0_294 ),
    inference(forward_demodulation,[status(thm)],[f1238,f2175]) ).

fof(f3862,plain,
    ( ~ spl0_19
    | ~ spl0_27 ),
    inference(split_clause,[status(thm)],[f3812,f1129,f1155]) ).

fof(f3863,plain,
    ( ~ spl0_46
    | ~ spl0_30 ),
    inference(split_clause,[status(thm)],[f3817,f1217,f1165]) ).

fof(f3864,plain,
    op1(e11,e10) != e12,
    inference(forward_demodulation,[status(thm)],[f2990,f120]) ).

fof(f3871,plain,
    ( h1(e12) != op2(e21,e23)
    | ~ spl0_298 ),
    inference(backward_demodulation,[status(thm)],[f2199,f3023]) ).

fof(f3872,plain,
    ( op1(e11,e13) = e10
    | ~ spl0_52
    | ~ spl0_292 ),
    inference(forward_demodulation,[status(thm)],[f1238,f2167]) ).

fof(f3879,plain,
    ( h3(op1(e13,e13)) != op2(h3(e13),e22)
    | ~ spl0_277
    | spl0_199 ),
    inference(backward_demodulation,[status(thm)],[f2103,f1799]) ).

fof(f3880,plain,
    ( h3(op1(e13,e13)) != op2(e22,e22)
    | ~ spl0_277
    | spl0_199 ),
    inference(forward_demodulation,[status(thm)],[f2103,f3879]) ).

fof(f3886,plain,
    ( h1(op1(e10,e13)) != op2(e20,e23)
    | ~ spl0_242
    | spl0_141 ),
    inference(forward_demodulation,[status(thm)],[f1963,f3031]) ).

fof(f3890,plain,
    ( h3(op1(e12,e13)) != op2(h3(e12),e22)
    | ~ spl0_277
    | spl0_195 ),
    inference(forward_demodulation,[status(thm)],[f2103,f1787]) ).

fof(f3892,plain,
    ( h3(op1(e13,e12)) != op2(e22,h3(e12))
    | ~ spl0_277
    | spl0_198 ),
    inference(forward_demodulation,[status(thm)],[f2103,f1796]) ).

fof(f3903,plain,
    ( op2(e21,e22) != e20
    | ~ spl0_267 ),
    inference(backward_demodulation,[status(thm)],[f2063,f3055]) ).

fof(f3904,plain,
    ( ~ spl0_88
    | ~ spl0_267 ),
    inference(split_clause,[status(thm)],[f3903,f1386,f2062]) ).

fof(f3905,plain,
    ( op2(e22,e21) != e20
    | ~ spl0_267 ),
    inference(backward_demodulation,[status(thm)],[f2063,f3052]) ).

fof(f3906,plain,
    ( ~ spl0_100
    | ~ spl0_267 ),
    inference(split_clause,[status(thm)],[f3905,f1425,f2062]) ).

fof(f3907,plain,
    ( e20 != op2(e22,e23)
    | ~ spl0_267 ),
    inference(backward_demodulation,[status(thm)],[f2063,f3051]) ).

fof(f3908,plain,
    ( ~ spl0_108
    | ~ spl0_267 ),
    inference(split_clause,[status(thm)],[f3907,f1451,f2062]) ).

fof(f3911,plain,
    ( e23 = e20
    | ~ spl0_80
    | ~ spl0_396 ),
    inference(forward_demodulation,[status(thm)],[f1361,f3225]) ).

fof(f3912,plain,
    ( $false
    | ~ spl0_80
    | ~ spl0_396 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3911,f220]) ).

fof(f3913,plain,
    ( ~ spl0_80
    | ~ spl0_396 ),
    inference(contradiction_clause,[status(thm)],[f3912]) ).

fof(f3914,plain,
    ( ~ spl0_99
    | ~ spl0_396 ),
    inference(split_clause,[status(thm)],[f3227,f1421,f2744]) ).

fof(f3915,plain,
    ( ~ spl0_91
    | ~ spl0_396 ),
    inference(split_clause,[status(thm)],[f3272,f1395,f2744]) ).

fof(f3919,plain,
    ( e21 = e23
    | ~ spl0_261
    | ~ spl0_183 ),
    inference(forward_demodulation,[status(thm)],[f2039,f1749]) ).

fof(f3920,plain,
    ( $false
    | ~ spl0_261
    | ~ spl0_183 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3919,f222]) ).

fof(f3921,plain,
    ( ~ spl0_261
    | ~ spl0_183 ),
    inference(contradiction_clause,[status(thm)],[f3920]) ).

fof(f3927,plain,
    ( ~ spl0_83
    | spl0_396 ),
    inference(split_clause,[status(thm)],[f3706,f1369,f2744]) ).

fof(f3928,plain,
    ( op2(e21,e23) = e20
    | ~ spl0_298
    | ~ spl0_116 ),
    inference(forward_demodulation,[status(thm)],[f2199,f1478]) ).

fof(f3929,plain,
    ( op2(e21,e23) = e21
    | ~ spl0_298
    | ~ spl0_117 ),
    inference(forward_demodulation,[status(thm)],[f2199,f1481]) ).

fof(f3932,plain,
    ( $false
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1176,f2983]) ).

fof(f3933,plain,
    ~ spl0_33,
    inference(contradiction_clause,[status(thm)],[f3932]) ).

fof(f3937,plain,
    ( $false
    | ~ spl0_62 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1270,f3806]) ).

fof(f3938,plain,
    ~ spl0_62,
    inference(contradiction_clause,[status(thm)],[f3937]) ).

fof(f3940,plain,
    ( op1(e11,e12) = e11
    | ~ spl0_336
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f2411,f1189]) ).

fof(f3941,plain,
    ( e12 = e10
    | ~ spl0_48 ),
    inference(forward_demodulation,[status(thm)],[f2990,f1225]) ).

fof(f3942,plain,
    ( $false
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3941,f213]) ).

fof(f3943,plain,
    ~ spl0_48,
    inference(contradiction_clause,[status(thm)],[f3942]) ).

fof(f3944,plain,
    ( e12 != op1(e12,e13)
    | ~ spl0_232 ),
    inference(forward_demodulation,[status(thm)],[f2990,f3239]) ).

fof(f3947,plain,
    ( op1(e11,e12) = e10
    | ~ spl0_336
    | ~ spl0_36 ),
    inference(forward_demodulation,[status(thm)],[f2411,f1186]) ).

fof(f3949,plain,
    ( h1(op1(e11,e13)) != op2(e21,e23)
    | ~ spl0_247
    | spl0_145 ),
    inference(forward_demodulation,[status(thm)],[f1983,f3032]) ).

fof(f3951,plain,
    ( h3(op1(e13,e11)) != op2(e22,h3(e11))
    | ~ spl0_277
    | spl0_197 ),
    inference(forward_demodulation,[status(thm)],[f2103,f1793]) ).

fof(f3953,plain,
    ( op2(e21,e23) != e21
    | ~ spl0_298
    | spl0_117 ),
    inference(forward_demodulation,[status(thm)],[f2199,f1482]) ).

fof(f3956,plain,
    ( op1(e10,e13) = e12
    | ~ spl0_304 ),
    inference(forward_demodulation,[status(thm)],[f2990,f2231]) ).

fof(f3957,plain,
    ( e22 != op2(e20,e22)
    | ~ spl0_267
    | ~ spl0_274
    | ~ spl0_16
    | spl0_188 ),
    inference(forward_demodulation,[status(thm)],[f2063,f3842]) ).

fof(f3958,plain,
    ( e21 != op2(h2(e11),h2(e13))
    | ~ spl0_261
    | ~ spl0_31
    | spl0_168 ),
    inference(forward_demodulation,[status(thm)],[f2039,f3182]) ).

fof(f3959,plain,
    ( e21 != op2(h2(e11),e21)
    | ~ spl0_261
    | ~ spl0_31
    | spl0_168 ),
    inference(forward_demodulation,[status(thm)],[f2039,f3958]) ).

fof(f3964,plain,
    ( ~ spl0_25
    | ~ spl0_41 ),
    inference(split_clause,[status(thm)],[f3141,f1149,f1201]) ).

fof(f3970,plain,
    ( e10 != op1(e13,e13)
    | ~ spl0_44 ),
    inference(forward_demodulation,[status(thm)],[f1212,f139]) ).

fof(f3971,plain,
    ( ~ spl0_60
    | ~ spl0_44 ),
    inference(split_clause,[status(thm)],[f3970,f1263,f1211]) ).

fof(f3983,plain,
    ( e12 != e12
    | spl0_50 ),
    inference(forward_demodulation,[status(thm)],[f2990,f1232]) ).

fof(f3984,plain,
    ( $false
    | spl0_50 ),
    inference(trivial_equality_resolution,[status(esa)],[f3983]) ).

fof(f3985,plain,
    spl0_50,
    inference(contradiction_clause,[status(thm)],[f3984]) ).

fof(f3987,plain,
    ( ~ spl0_59
    | ~ spl0_27 ),
    inference(split_clause,[status(thm)],[f3813,f1259,f1155]) ).

fof(f3988,plain,
    ( op1(e10,e13) != e12
    | spl0_304 ),
    inference(forward_demodulation,[status(thm)],[f2990,f2232]) ).

fof(f3994,plain,
    ( ~ spl0_60
    | ~ spl0_52 ),
    inference(split_clause,[status(thm)],[f3805,f1263,f1237]) ).

fof(f3995,plain,
    ( spl0_14
    | ~ spl0_304 ),
    inference(split_clause,[status(thm)],[f3956,f1113,f2230]) ).

fof(f3996,plain,
    ( op1(e11,e12) = e13
    | ~ spl0_336
    | ~ spl0_39 ),
    inference(forward_demodulation,[status(thm)],[f2411,f1195]) ).

fof(f3997,plain,
    ( e20 = e22
    | ~ spl0_267
    | ~ spl0_275 ),
    inference(forward_demodulation,[status(thm)],[f2063,f2095]) ).

fof(f3998,plain,
    ( $false
    | ~ spl0_267
    | ~ spl0_275 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3997,f219]) ).

fof(f3999,plain,
    ( ~ spl0_267
    | ~ spl0_275 ),
    inference(contradiction_clause,[status(thm)],[f3998]) ).

fof(f4003,plain,
    ( op2(e21,e23) != e20
    | ~ spl0_298
    | spl0_116 ),
    inference(forward_demodulation,[status(thm)],[f2199,f1479]) ).

fof(f4004,plain,
    ( e21 = e23
    | ~ spl0_67 ),
    inference(forward_demodulation,[status(thm)],[f281,f1318]) ).

fof(f4005,plain,
    ( $false
    | ~ spl0_67 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4004,f222]) ).

fof(f4006,plain,
    ~ spl0_67,
    inference(contradiction_clause,[status(thm)],[f4005]) ).

fof(f4037,plain,
    ( op2(e21,e23) != e20
    | ~ spl0_279 ),
    inference(backward_demodulation,[status(thm)],[f2111,f3065]) ).

fof(f4038,plain,
    ( ~ spl0_92
    | ~ spl0_279 ),
    inference(split_clause,[status(thm)],[f4037,f1399,f2110]) ).

fof(f4039,plain,
    ( op2(e22,e23) != e20
    | ~ spl0_279 ),
    inference(backward_demodulation,[status(thm)],[f2111,f3064]) ).

fof(f4040,plain,
    ( e20 = e21
    | ~ spl0_279
    | ~ spl0_283 ),
    inference(forward_demodulation,[status(thm)],[f2111,f2127]) ).

fof(f4041,plain,
    ( $false
    | ~ spl0_279
    | ~ spl0_283 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4040,f218]) ).

fof(f4042,plain,
    ( ~ spl0_279
    | ~ spl0_283 ),
    inference(contradiction_clause,[status(thm)],[f4041]) ).

fof(f4061,plain,
    ( h2(e11) != e20
    | ~ spl0_255
    | ~ spl0_258
    | spl0_161 ),
    inference(backward_demodulation,[status(thm)],[f3405,f3443]) ).

fof(f4062,plain,
    ( ~ spl0_255
    | ~ spl0_258
    | spl0_161 ),
    inference(split_clause,[status(thm)],[f4061,f2014,f2026,f1679]) ).

fof(f4063,plain,
    ( h2(e11) = op2(h2(e10),h2(e10))
    | ~ spl0_161 ),
    inference(forward_demodulation,[status(thm)],[f278,f1680]) ).

fof(f4064,plain,
    ( h2(e11) = op2(e21,h2(e10))
    | ~ spl0_258
    | ~ spl0_161 ),
    inference(forward_demodulation,[status(thm)],[f2027,f4063]) ).

fof(f4065,plain,
    ( h2(e11) = op2(e21,e21)
    | ~ spl0_258
    | ~ spl0_161 ),
    inference(forward_demodulation,[status(thm)],[f2027,f4064]) ).

fof(f4066,plain,
    ( h2(e11) = e20
    | ~ spl0_255
    | ~ spl0_258
    | ~ spl0_161 ),
    inference(forward_demodulation,[status(thm)],[f3405,f4065]) ).

fof(f4072,plain,
    ( e20 != op2(e21,e23)
    | ~ spl0_255 ),
    inference(backward_demodulation,[status(thm)],[f2015,f3041]) ).

fof(f4083,plain,
    ( op2(e22,e20) = e22
    | ~ spl0_72
    | ~ spl0_418 ),
    inference(backward_demodulation,[status(thm)],[f1335,f2869]) ).

fof(f4084,plain,
    ( e20 = e21
    | ~ spl0_255
    | ~ spl0_85 ),
    inference(forward_demodulation,[status(thm)],[f3405,f1377]) ).

fof(f4085,plain,
    ( $false
    | ~ spl0_255
    | ~ spl0_85 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4084,f218]) ).

fof(f4086,plain,
    ( ~ spl0_255
    | ~ spl0_85 ),
    inference(contradiction_clause,[status(thm)],[f4085]) ).

fof(f4087,plain,
    ( ~ spl0_96
    | ~ spl0_80 ),
    inference(split_clause,[status(thm)],[f3795,f1412,f1360]) ).

fof(f4095,plain,
    ( e23 = op2(e23,e22)
    | ~ spl0_229
    | ~ spl0_287 ),
    inference(forward_demodulation,[status(thm)],[f1895,f3423]) ).

fof(f4099,plain,
    ( h3(op1(e11,e13)) != op2(h3(e11),e22)
    | ~ spl0_277
    | spl0_191 ),
    inference(forward_demodulation,[status(thm)],[f2103,f1775]) ).

fof(f4102,plain,
    ( ~ spl0_110
    | ~ spl0_238
    | spl0_122 ),
    inference(split_clause,[status(thm)],[f3419,f1457,f1942,f1496]) ).

fof(f4103,plain,
    ( spl0_108
    | ~ spl0_238
    | ~ spl0_120 ),
    inference(split_clause,[status(thm)],[f3413,f1451,f1942,f1490]) ).

fof(f4107,plain,
    ( ~ spl0_94
    | ~ spl0_90 ),
    inference(split_clause,[status(thm)],[f3153,f1405,f1392]) ).

fof(f4108,plain,
    ( e21 != op2(e22,e23)
    | ~ spl0_101 ),
    inference(backward_demodulation,[status(thm)],[f1429,f204]) ).

fof(f4109,plain,
    ( ~ spl0_109
    | ~ spl0_101 ),
    inference(split_clause,[status(thm)],[f4108,f1454,f1428]) ).

fof(f4110,plain,
    ( op2(e21,e21) = e21
    | ~ spl0_101
    | ~ spl0_344 ),
    inference(backward_demodulation,[status(thm)],[f1429,f2451]) ).

fof(f4111,plain,
    e12 != op1(e13,e11),
    inference(forward_demodulation,[status(thm)],[f2990,f158]) ).

fof(f4112,plain,
    ( op1(e11,e12) != op1(e12,e12)
    | ~ spl0_336 ),
    inference(forward_demodulation,[status(thm)],[f2411,f155]) ).

fof(f4114,plain,
    ( e12 = e13
    | ~ spl0_51 ),
    inference(forward_demodulation,[status(thm)],[f2990,f1234]) ).

fof(f4115,plain,
    ( $false
    | ~ spl0_51 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4114,f217]) ).

fof(f4116,plain,
    ~ spl0_51,
    inference(contradiction_clause,[status(thm)],[f4115]) ).

fof(f4123,plain,
    ( spl0_25
    | ~ spl0_336
    | ~ spl0_37 ),
    inference(split_clause,[status(thm)],[f3940,f1149,f2410,f1188]) ).

fof(f4124,plain,
    ( ~ spl0_28
    | ~ spl0_44 ),
    inference(split_clause,[status(thm)],[f3823,f1159,f1211]) ).

fof(f4129,plain,
    ( e20 != op2(e20,e23)
    | ~ spl0_72 ),
    inference(backward_demodulation,[status(thm)],[f1335,f193]) ).

fof(f4137,plain,
    op1(e12,e10) != e12,
    inference(forward_demodulation,[status(thm)],[f2990,f121]) ).

fof(f4151,plain,
    ( h1(op1(e13,e13)) != h4(e11)
    | spl0_153 ),
    inference(backward_demodulation,[status(thm)],[f297,f3038]) ).

fof(f4152,plain,
    ( e22 != op2(e22,e23)
    | ~ spl0_78 ),
    inference(backward_demodulation,[status(thm)],[f1354,f183]) ).

fof(f4154,plain,
    h1(e12) = e22,
    inference(forward_demodulation,[status(thm)],[f3008,f3020]) ).

fof(f4155,plain,
    e22 != op2(e23,e22),
    inference(forward_demodulation,[status(thm)],[f4154,f3022]) ).

fof(f4156,plain,
    ( e13 != op1(e11,e12)
    | ~ spl0_336 ),
    inference(forward_demodulation,[status(thm)],[f2411,f2995]) ).

fof(f4160,plain,
    ( op2(e23,e22) = e23
    | ~ spl0_78
    | ~ spl0_408 ),
    inference(forward_demodulation,[status(thm)],[f1354,f2811]) ).

fof(f4169,plain,
    ( spl0_72
    | ~ spl0_252
    | ~ spl0_312 ),
    inference(split_clause,[status(thm)],[f3480,f1334,f2002,f2270]) ).

fof(f4171,plain,
    ( $false
    | ~ spl0_73 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1338,f3001]) ).

fof(f4172,plain,
    ~ spl0_73,
    inference(contradiction_clause,[status(thm)],[f4171]) ).

fof(f4174,plain,
    ( op2(e20,e23) != e22
    | spl0_310 ),
    inference(forward_demodulation,[status(thm)],[f4154,f3420]) ).

fof(f4175,plain,
    ( spl0_98
    | ~ spl0_72
    | ~ spl0_418 ),
    inference(split_clause,[status(thm)],[f4083,f1418,f1334,f2868]) ).

fof(f4176,plain,
    ( ~ spl0_227
    | ~ spl0_123 ),
    inference(split_clause,[status(thm)],[f3784,f1886,f1499]) ).

fof(f4200,plain,
    ( op1(e13,e11) != e11
    | ~ spl0_61 ),
    inference(backward_demodulation,[status(thm)],[f1267,f162]) ).

fof(f4201,plain,
    ( op1(e12,e13) != e11
    | ~ spl0_61 ),
    inference(backward_demodulation,[status(thm)],[f1267,f139]) ).

fof(f4202,plain,
    ( ~ spl0_45
    | ~ spl0_61 ),
    inference(split_clause,[status(thm)],[f4201,f1214,f1266]) ).

fof(f4207,plain,
    ( spl0_27
    | ~ spl0_336
    | ~ spl0_39 ),
    inference(split_clause,[status(thm)],[f3996,f1155,f2410,f1194]) ).

fof(f4211,plain,
    ( e12 != op1(e11,e12)
    | ~ spl0_22 ),
    inference(backward_demodulation,[status(thm)],[f1140,f149]) ).

fof(f4212,plain,
    ( e12 != op1(e11,e13)
    | ~ spl0_22 ),
    inference(backward_demodulation,[status(thm)],[f1140,f150]) ).

fof(f4214,plain,
    ( e12 = e11
    | ~ spl0_22
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f1140,f1137]) ).

fof(f4215,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4214,f215]) ).

fof(f4216,plain,
    ( ~ spl0_22
    | ~ spl0_21 ),
    inference(contradiction_clause,[status(thm)],[f4215]) ).

fof(f4217,plain,
    ( h1(op1(e13,e12)) != op2(e23,e22)
    | spl0_152 ),
    inference(forward_demodulation,[status(thm)],[f4154,f3036]) ).

fof(f4219,plain,
    ( h1(e12) != op2(e23,e20)
    | ~ spl0_242
    | spl0_150 ),
    inference(forward_demodulation,[status(thm)],[f2990,f3564]) ).

fof(f4220,plain,
    ( e22 != op2(e23,e20)
    | ~ spl0_242
    | spl0_150 ),
    inference(forward_demodulation,[status(thm)],[f4154,f4219]) ).

fof(f4221,plain,
    ( e22 != e22
    | ~ spl0_242
    | spl0_150 ),
    inference(forward_demodulation,[status(thm)],[f3008,f4220]) ).

fof(f4222,plain,
    ( $false
    | ~ spl0_242
    | spl0_150 ),
    inference(trivial_equality_resolution,[status(esa)],[f4221]) ).

fof(f4223,plain,
    ( ~ spl0_242
    | spl0_150 ),
    inference(contradiction_clause,[status(thm)],[f4222]) ).

fof(f4224,plain,
    ( h1(op1(e12,e13)) != op2(e22,e23)
    | spl0_149 ),
    inference(forward_demodulation,[status(thm)],[f4154,f3033]) ).

fof(f4225,plain,
    ( h1(op1(e12,e12)) != op2(e22,h1(e12))
    | spl0_148 ),
    inference(forward_demodulation,[status(thm)],[f4154,f1638]) ).

fof(f4226,plain,
    ( h1(op1(e12,e12)) != op2(e22,e22)
    | spl0_148 ),
    inference(forward_demodulation,[status(thm)],[f4154,f4225]) ).

fof(f4227,plain,
    ( h1(op1(e12,e12)) != h3(e11)
    | spl0_148 ),
    inference(forward_demodulation,[status(thm)],[f293,f4226]) ).

fof(f4229,plain,
    ( h1(op1(e12,e10)) != op2(e22,e20)
    | ~ spl0_242
    | spl0_146 ),
    inference(forward_demodulation,[status(thm)],[f4154,f3757]) ).

fof(f4231,plain,
    ( h1(op1(e10,e12)) != op2(e20,e22)
    | ~ spl0_242
    | spl0_140 ),
    inference(forward_demodulation,[status(thm)],[f4154,f3352]) ).

fof(f4232,plain,
    ( op1(e11,e12) = e11
    | ~ spl0_22
    | ~ spl0_381 ),
    inference(forward_demodulation,[status(thm)],[f1140,f2660]) ).

fof(f4233,plain,
    ( ~ spl0_74
    | ~ spl0_267
    | ~ spl0_274
    | ~ spl0_16
    | spl0_188 ),
    inference(split_clause,[status(thm)],[f3957,f1340,f2062,f2090,f1120,f1764]) ).

fof(f4234,plain,
    ( $false
    | ~ spl0_336
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1156,f4156]) ).

fof(f4235,plain,
    ( ~ spl0_336
    | ~ spl0_27 ),
    inference(contradiction_clause,[status(thm)],[f4234]) ).

fof(f4240,plain,
    ( op2(e20,e23) = e22
    | ~ spl0_310 ),
    inference(forward_demodulation,[status(thm)],[f4154,f3254]) ).

fof(f4241,plain,
    ( op2(e20,e22) != e22
    | ~ spl0_310 ),
    inference(forward_demodulation,[status(thm)],[f4154,f3256]) ).

fof(f4243,plain,
    ( e22 != op2(e21,e23)
    | ~ spl0_310 ),
    inference(forward_demodulation,[status(thm)],[f4154,f3302]) ).

fof(f4245,plain,
    ( e22 != e22
    | ~ spl0_287
    | ~ spl0_310
    | spl0_407 ),
    inference(forward_demodulation,[status(thm)],[f4154,f3475]) ).

fof(f4246,plain,
    ( $false
    | ~ spl0_287
    | ~ spl0_310
    | spl0_407 ),
    inference(trivial_equality_resolution,[status(esa)],[f4245]) ).

fof(f4247,plain,
    ( ~ spl0_287
    | ~ spl0_310
    | spl0_407 ),
    inference(contradiction_clause,[status(thm)],[f4246]) ).

fof(f4248,plain,
    ( e22 = e23
    | ~ spl0_159 ),
    inference(forward_demodulation,[status(thm)],[f4154,f1672]) ).

fof(f4249,plain,
    ( $false
    | ~ spl0_159 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4248,f223]) ).

fof(f4250,plain,
    ~ spl0_159,
    inference(contradiction_clause,[status(thm)],[f4249]) ).

fof(f4251,plain,
    ( $false
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1179,f4137]) ).

fof(f4252,plain,
    ~ spl0_34,
    inference(contradiction_clause,[status(thm)],[f4251]) ).

fof(f4253,plain,
    ( $false
    | ~ spl0_55 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1247,f2994]) ).

fof(f4254,plain,
    ~ spl0_55,
    inference(contradiction_clause,[status(thm)],[f4253]) ).

fof(f4257,plain,
    ( e22 != e22
    | spl0_252 ),
    inference(forward_demodulation,[status(thm)],[f4154,f2004]) ).

fof(f4258,plain,
    ( $false
    | spl0_252 ),
    inference(trivial_equality_resolution,[status(esa)],[f4257]) ).

fof(f4259,plain,
    spl0_252,
    inference(contradiction_clause,[status(thm)],[f4258]) ).

fof(f4268,plain,
    ( spl0_24
    | ~ spl0_336
    | ~ spl0_36 ),
    inference(split_clause,[status(thm)],[f3947,f1146,f2410,f1185]) ).

fof(f4269,plain,
    ( $false
    | ~ spl0_54 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1244,f4111]) ).

fof(f4270,plain,
    ~ spl0_54,
    inference(contradiction_clause,[status(thm)],[f4269]) ).

fof(f4271,plain,
    ( ~ spl0_76
    | ~ spl0_72 ),
    inference(split_clause,[status(thm)],[f4129,f1347,f1334]) ).

fof(f4272,plain,
    ( e22 = e20
    | ~ spl0_244 ),
    inference(forward_demodulation,[status(thm)],[f4154,f1971]) ).

fof(f4273,plain,
    ( $false
    | ~ spl0_244 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4272,f219]) ).

fof(f4274,plain,
    ~ spl0_244,
    inference(contradiction_clause,[status(thm)],[f4273]) ).

fof(f4278,plain,
    ( h4(e11) = op2(e20,e23)
    | ~ spl0_407 ),
    inference(forward_demodulation,[status(thm)],[f297,f2807]) ).

fof(f4279,plain,
    ( $false
    | ~ spl0_407 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4278,f3066]) ).

fof(f4280,plain,
    ~ spl0_407,
    inference(contradiction_clause,[status(thm)],[f4279]) ).

fof(f4281,plain,
    ( ~ spl0_30
    | ~ spl0_22 ),
    inference(split_clause,[status(thm)],[f4212,f1165,f1139]) ).

fof(f4283,plain,
    ( ~ spl0_110
    | ~ spl0_78 ),
    inference(split_clause,[status(thm)],[f4152,f1457,f1353]) ).

fof(f4284,plain,
    ( ~ spl0_116
    | ~ spl0_108
    | ~ spl0_238 ),
    inference(split_clause,[status(thm)],[f3749,f1477,f1451,f1942]) ).

fof(f4285,plain,
    ( ~ spl0_72
    | ~ spl0_108
    | ~ spl0_238 ),
    inference(split_clause,[status(thm)],[f3750,f1334,f1451,f1942]) ).

fof(f4289,plain,
    ( ~ spl0_78
    | spl0_310 ),
    inference(split_clause,[status(thm)],[f4174,f1353,f2262]) ).

fof(f4290,plain,
    ( h4(e11) != h4(e11)
    | ~ spl0_226
    | spl0_207 ),
    inference(forward_demodulation,[status(thm)],[f297,f3731]) ).

fof(f4291,plain,
    ( $false
    | ~ spl0_226
    | spl0_207 ),
    inference(trivial_equality_resolution,[status(esa)],[f4290]) ).

fof(f4292,plain,
    ( ~ spl0_226
    | spl0_207 ),
    inference(contradiction_clause,[status(thm)],[f4291]) ).

fof(f4293,plain,
    ( h3(e11) != h3(e11)
    | ~ spl0_274
    | spl0_184 ),
    inference(forward_demodulation,[status(thm)],[f293,f3712]) ).

fof(f4294,plain,
    ( $false
    | ~ spl0_274
    | spl0_184 ),
    inference(trivial_equality_resolution,[status(esa)],[f4293]) ).

fof(f4295,plain,
    ( ~ spl0_274
    | spl0_184 ),
    inference(contradiction_clause,[status(thm)],[f4294]) ).

fof(f4299,plain,
    ( spl0_85
    | ~ spl0_117
    | ~ spl0_300 ),
    inference(split_clause,[status(thm)],[f3601,f1376,f1480,f2206]) ).

fof(f4302,plain,
    ( e10 != op1(e13,e12)
    | ~ spl0_40 ),
    inference(backward_demodulation,[status(thm)],[f1199,f133]) ).

fof(f4310,plain,
    ( op1(e10,e12) != e12
    | ~ spl0_348 ),
    inference(forward_demodulation,[status(thm)],[f2990,f3250]) ).

fof(f4312,plain,
    ( h1(op1(e12,e11)) != op2(e22,h1(e11))
    | spl0_147 ),
    inference(forward_demodulation,[status(thm)],[f4154,f1635]) ).

fof(f4313,plain,
    ( h1(op1(e12,e11)) != op2(e22,e21)
    | ~ spl0_247
    | spl0_147 ),
    inference(forward_demodulation,[status(thm)],[f1983,f4312]) ).

fof(f4316,plain,
    e22 != op2(e23,e21),
    inference(forward_demodulation,[status(thm)],[f4154,f3023]) ).

fof(f4322,plain,
    ( h3(e12) = op2(e22,e22)
    | ~ spl0_277 ),
    inference(forward_demodulation,[status(thm)],[f2103,f3059]) ).

fof(f4323,plain,
    ( h3(e12) = h3(e11)
    | ~ spl0_277 ),
    inference(forward_demodulation,[status(thm)],[f293,f4322]) ).

fof(f4324,plain,
    ( h3(op1(e13,e12)) != op2(e22,h3(e11))
    | ~ spl0_277
    | spl0_198 ),
    inference(backward_demodulation,[status(thm)],[f4323,f3892]) ).

fof(f4328,plain,
    ( h3(e11) != e21
    | ~ spl0_277
    | spl0_272 ),
    inference(backward_demodulation,[status(thm)],[f4323,f2084]) ).

fof(f4329,plain,
    ( h3(e11) != e22
    | ~ spl0_277
    | spl0_276 ),
    inference(backward_demodulation,[status(thm)],[f4323,f2100]) ).

fof(f4331,plain,
    ( h2(e12) != op2(h2(e13),e21)
    | ~ spl0_258
    | spl0_173 ),
    inference(forward_demodulation,[status(thm)],[f2990,f3566]) ).

fof(f4332,plain,
    ( h2(e12) != h2(e12)
    | ~ spl0_258
    | spl0_173 ),
    inference(forward_demodulation,[status(thm)],[f3048,f4331]) ).

fof(f4333,plain,
    ( $false
    | ~ spl0_258
    | spl0_173 ),
    inference(trivial_equality_resolution,[status(esa)],[f4332]) ).

fof(f4334,plain,
    ( ~ spl0_258
    | spl0_173 ),
    inference(contradiction_clause,[status(thm)],[f4333]) ).

fof(f4340,plain,
    ( h4(op1(e13,e13)) != op2(h4(e13),e23)
    | ~ spl0_229
    | spl0_222 ),
    inference(backward_demodulation,[status(thm)],[f1895,f1872]) ).

fof(f4341,plain,
    ( h4(op1(e13,e13)) != op2(e23,e23)
    | ~ spl0_229
    | spl0_222 ),
    inference(forward_demodulation,[status(thm)],[f1895,f4340]) ).

fof(f4342,plain,
    ( h4(op1(e13,e13)) != h4(e11)
    | ~ spl0_229
    | spl0_222 ),
    inference(forward_demodulation,[status(thm)],[f297,f4341]) ).

fof(f4344,plain,
    ( h4(op1(e13,e11)) != op2(e23,h4(e11))
    | ~ spl0_229
    | spl0_220 ),
    inference(backward_demodulation,[status(thm)],[f1895,f1866]) ).

fof(f4345,plain,
    ( h4(e12) = op2(e23,e23)
    | ~ spl0_229 ),
    inference(backward_demodulation,[status(thm)],[f1895,f3069]) ).

fof(f4346,plain,
    ( h4(e12) = h4(e11)
    | ~ spl0_229 ),
    inference(forward_demodulation,[status(thm)],[f297,f4345]) ).

fof(f4347,plain,
    ( h3(e12) != op2(h3(e13),e22)
    | ~ spl0_274
    | spl0_196 ),
    inference(forward_demodulation,[status(thm)],[f2990,f3567]) ).

fof(f4348,plain,
    ( h4(e12) != op2(h4(e13),e23)
    | ~ spl0_226
    | spl0_219 ),
    inference(forward_demodulation,[status(thm)],[f2990,f3595]) ).

fof(f4362,plain,
    ( op2(e22,e23) != e23
    | ~ spl0_227 ),
    inference(backward_demodulation,[status(thm)],[f1887,f3064]) ).

fof(f4372,plain,
    ( e23 = op2(e23,e23)
    | ~ spl0_227 ),
    inference(backward_demodulation,[status(thm)],[f1887,f297]) ).

fof(f4373,plain,
    ( h3(op1(e13,e13)) != h3(e11)
    | ~ spl0_277
    | spl0_199 ),
    inference(forward_demodulation,[status(thm)],[f293,f3880]) ).

fof(f4374,plain,
    ( ~ spl0_271
    | ~ spl0_277
    | spl0_272 ),
    inference(split_clause,[status(thm)],[f4328,f2078,f2102,f2082]) ).

fof(f4377,plain,
    ( ~ spl0_109
    | ~ spl0_271
    | ~ spl0_238
    | spl0_239 ),
    inference(split_clause,[status(thm)],[f3599,f1454,f2078,f1942,f1946]) ).

fof(f4389,plain,
    ( e20 != op2(e23,e21)
    | ~ spl0_255
    | ~ spl0_258
    | ~ spl0_161 ),
    inference(backward_demodulation,[status(thm)],[f4066,f3044]) ).

fof(f4417,plain,
    ( h3(op1(e11,e11)) != op2(h3(e11),e21)
    | ~ spl0_271
    | spl0_189 ),
    inference(backward_demodulation,[status(thm)],[f2079,f1769]) ).

fof(f4418,plain,
    ( h3(op1(e11,e11)) != op2(e21,e21)
    | ~ spl0_271
    | spl0_189 ),
    inference(forward_demodulation,[status(thm)],[f2079,f4417]) ).

fof(f4424,plain,
    ( op2(e21,e22) != e21
    | ~ spl0_271 ),
    inference(forward_demodulation,[status(thm)],[f2079,f3055]) ).

fof(f4425,plain,
    ( op2(e22,e21) != e21
    | ~ spl0_271 ),
    inference(forward_demodulation,[status(thm)],[f2079,f3052]) ).

fof(f4427,plain,
    ( h2(e12) != op2(h2(e12),h2(e12))
    | ~ spl0_42
    | spl0_171 ),
    inference(backward_demodulation,[status(thm)],[f1205,f1711]) ).

fof(f4428,plain,
    ( h3(e12) != op2(h3(e12),h3(e12))
    | ~ spl0_42
    | spl0_194 ),
    inference(backward_demodulation,[status(thm)],[f1205,f1784]) ).

fof(f4436,plain,
    ( e12 != op1(e12,e13)
    | ~ spl0_42 ),
    inference(forward_demodulation,[status(thm)],[f1205,f157]) ).

fof(f4437,plain,
    ( op1(e10,e12) != e12
    | ~ spl0_42 ),
    inference(forward_demodulation,[status(thm)],[f1205,f129]) ).

fof(f4438,plain,
    ( e13 != op1(e13,e13)
    | ~ spl0_59 ),
    inference(backward_demodulation,[status(thm)],[f1260,f163]) ).

fof(f4446,plain,
    ( $false
    | ~ spl0_271
    | ~ spl0_89 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1390,f4424]) ).

fof(f4447,plain,
    ( ~ spl0_271
    | ~ spl0_89 ),
    inference(contradiction_clause,[status(thm)],[f4446]) ).

fof(f4449,plain,
    ( h2(e13) != op2(h2(e13),h2(e12))
    | ~ spl0_59
    | spl0_175 ),
    inference(forward_demodulation,[status(thm)],[f1260,f1723]) ).

fof(f4452,plain,
    ( ~ spl0_275
    | ~ spl0_277
    | spl0_276 ),
    inference(split_clause,[status(thm)],[f4329,f2094,f2102,f2098]) ).

fof(f4453,plain,
    ( e20 != h3(e11)
    | ~ spl0_96 ),
    inference(forward_demodulation,[status(thm)],[f1413,f3053]) ).

fof(f4456,plain,
    ( e20 != op2(e21,e22)
    | ~ spl0_72 ),
    inference(backward_demodulation,[status(thm)],[f1335,f176]) ).

fof(f4457,plain,
    ( ~ spl0_88
    | ~ spl0_72 ),
    inference(split_clause,[status(thm)],[f4456,f1386,f1334]) ).

fof(f4460,plain,
    ( h1(e13) != op2(e23,e22)
    | ~ spl0_59
    | spl0_152 ),
    inference(forward_demodulation,[status(thm)],[f1260,f4217]) ).

fof(f4461,plain,
    ( e23 != op2(e23,e22)
    | ~ spl0_59
    | spl0_152 ),
    inference(forward_demodulation,[status(thm)],[f3027,f4460]) ).

fof(f4470,plain,
    ( op2(e20,e20) = e20
    | ~ spl0_96
    | ~ spl0_356 ),
    inference(forward_demodulation,[status(thm)],[f1413,f2515]) ).

fof(f4471,plain,
    ( e21 = e20
    | ~ spl0_96
    | ~ spl0_356 ),
    inference(forward_demodulation,[status(thm)],[f281,f4470]) ).

fof(f4472,plain,
    ( $false
    | ~ spl0_96
    | ~ spl0_356 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4471,f218]) ).

fof(f4473,plain,
    ( ~ spl0_96
    | ~ spl0_356 ),
    inference(contradiction_clause,[status(thm)],[f4472]) ).

fof(f4474,plain,
    ( spl0_85
    | ~ spl0_101
    | ~ spl0_344 ),
    inference(split_clause,[status(thm)],[f4110,f1376,f1428,f2450]) ).

fof(f4475,plain,
    ( op1(e12,e12) != e12
    | ~ spl0_42
    | spl0_327 ),
    inference(forward_demodulation,[status(thm)],[f1205,f2359]) ).

fof(f4476,plain,
    ( e12 != e12
    | ~ spl0_42
    | spl0_327 ),
    inference(forward_demodulation,[status(thm)],[f1205,f4475]) ).

fof(f4477,plain,
    ( $false
    | ~ spl0_42
    | spl0_327 ),
    inference(trivial_equality_resolution,[status(esa)],[f4476]) ).

fof(f4478,plain,
    ( ~ spl0_42
    | spl0_327 ),
    inference(contradiction_clause,[status(thm)],[f4477]) ).

fof(f4480,plain,
    ( e20 = e22
    | ~ spl0_96
    | ~ spl0_98 ),
    inference(forward_demodulation,[status(thm)],[f1413,f1419]) ).

fof(f4481,plain,
    ( $false
    | ~ spl0_96
    | ~ spl0_98 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4480,f219]) ).

fof(f4482,plain,
    ( ~ spl0_96
    | ~ spl0_98 ),
    inference(contradiction_clause,[status(thm)],[f4481]) ).

fof(f4483,plain,
    ( op2(e20,e22) != e20
    | ~ spl0_96
    | spl0_354 ),
    inference(forward_demodulation,[status(thm)],[f1413,f2508]) ).

fof(f4484,plain,
    ( spl0_78
    | ~ spl0_310 ),
    inference(split_clause,[status(thm)],[f4240,f1353,f2262]) ).

fof(f4485,plain,
    ( ~ spl0_74
    | ~ spl0_310 ),
    inference(split_clause,[status(thm)],[f4241,f1340,f2262]) ).

fof(f4486,plain,
    ( ~ spl0_94
    | ~ spl0_310 ),
    inference(split_clause,[status(thm)],[f4243,f1405,f2262]) ).

fof(f4487,plain,
    ( op2(e23,e22) = e23
    | ~ spl0_310
    | ~ spl0_408 ),
    inference(forward_demodulation,[status(thm)],[f4154,f3323]) ).

fof(f4492,plain,
    ( e20 != op2(e23,e22)
    | ~ spl0_72 ),
    inference(backward_demodulation,[status(thm)],[f1335,f178]) ).

fof(f4494,plain,
    ( $false
    | ~ spl0_79 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1357,f3009]) ).

fof(f4495,plain,
    ~ spl0_79,
    inference(contradiction_clause,[status(thm)],[f4494]) ).

fof(f4497,plain,
    ( h3(e12) != op2(e22,h3(e13))
    | ~ spl0_14
    | ~ spl0_274
    | spl0_187 ),
    inference(backward_demodulation,[status(thm)],[f1114,f3382]) ).

fof(f4499,plain,
    ( op1(e13,e12) = e13
    | ~ spl0_14
    | ~ spl0_403 ),
    inference(backward_demodulation,[status(thm)],[f1114,f2782]) ).

fof(f4504,plain,
    ( op1(e11,e10) != e10
    | ~ spl0_28 ),
    inference(backward_demodulation,[status(thm)],[f1160,f148]) ).

fof(f4505,plain,
    ( ~ spl0_16
    | ~ spl0_28 ),
    inference(split_clause,[status(thm)],[f4504,f1120,f1159]) ).

fof(f4527,plain,
    ( op1(e12,e13) != e13
    | ~ spl0_59
    | spl0_232 ),
    inference(forward_demodulation,[status(thm)],[f1260,f1912]) ).

fof(f4528,plain,
    ( $false
    | ~ spl0_59
    | spl0_232
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1221,f4527]) ).

fof(f4529,plain,
    ( ~ spl0_59
    | spl0_232
    | ~ spl0_47 ),
    inference(contradiction_clause,[status(thm)],[f4528]) ).

fof(f4530,plain,
    ( e10 != op1(e12,e13)
    | ~ spl0_8
    | ~ spl0_232 ),
    inference(forward_demodulation,[status(thm)],[f1095,f3240]) ).

fof(f4531,plain,
    ( op1(e12,e13) = e13
    | ~ spl0_59
    | ~ spl0_232 ),
    inference(forward_demodulation,[status(thm)],[f1260,f1911]) ).

fof(f4532,plain,
    ( op1(e12,e13) = e12
    | ~ spl0_59
    | ~ spl0_234 ),
    inference(forward_demodulation,[status(thm)],[f1260,f1919]) ).

fof(f4533,plain,
    ( $false
    | ~ spl0_42
    | ~ spl0_59
    | ~ spl0_234 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4532,f4436]) ).

fof(f4534,plain,
    ( ~ spl0_42
    | ~ spl0_59
    | ~ spl0_234 ),
    inference(contradiction_clause,[status(thm)],[f4533]) ).

fof(f4542,plain,
    ( op1(e12,e11) != e12
    | ~ spl0_42 ),
    inference(forward_demodulation,[status(thm)],[f1205,f155]) ).

fof(f4543,plain,
    ( e20 != op2(e22,e21)
    | ~ spl0_96 ),
    inference(forward_demodulation,[status(thm)],[f1413,f200]) ).

fof(f4548,plain,
    ( e10 != op1(e12,e10)
    | ~ spl0_8
    | spl0_348 ),
    inference(forward_demodulation,[status(thm)],[f1095,f2476]) ).

fof(f4554,plain,
    ( e11 = e10
    | ~ spl0_25
    | ~ spl0_24 ),
    inference(forward_demodulation,[status(thm)],[f1150,f1147]) ).

fof(f4555,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4554,f212]) ).

fof(f4556,plain,
    ( ~ spl0_25
    | ~ spl0_24 ),
    inference(contradiction_clause,[status(thm)],[f4555]) ).

fof(f4557,plain,
    ( e12 = e10
    | ~ spl0_14
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f1114,f1108]) ).

fof(f4558,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4557,f213]) ).

fof(f4559,plain,
    ( ~ spl0_14
    | ~ spl0_12 ),
    inference(contradiction_clause,[status(thm)],[f4558]) ).

fof(f4563,plain,
    ( e12 != op1(e12,e11)
    | ~ spl0_22 ),
    inference(backward_demodulation,[status(thm)],[f1140,f125]) ).

fof(f4564,plain,
    ( e12 != op1(e12,e13)
    | ~ spl0_14 ),
    inference(backward_demodulation,[status(thm)],[f1114,f135]) ).

fof(f4565,plain,
    ( ~ spl0_46
    | ~ spl0_14 ),
    inference(split_clause,[status(thm)],[f4564,f1217,f1113]) ).

fof(f4567,plain,
    ( ~ spl0_46
    | ~ spl0_232 ),
    inference(split_clause,[status(thm)],[f3944,f1217,f1910]) ).

fof(f4569,plain,
    ( ~ spl0_63
    | ~ spl0_59 ),
    inference(split_clause,[status(thm)],[f4438,f1272,f1259]) ).

fof(f4570,plain,
    ( op1(e12,e13) != e12
    | ~ spl0_59
    | spl0_234 ),
    inference(forward_demodulation,[status(thm)],[f1260,f1920]) ).

fof(f4571,plain,
    ( ~ spl0_46
    | ~ spl0_59
    | spl0_234 ),
    inference(split_clause,[status(thm)],[f4570,f1217,f1259,f1918]) ).

fof(f4573,plain,
    ( e12 = e10
    | ~ spl0_22
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f1140,f1134]) ).

fof(f4574,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4573,f213]) ).

fof(f4575,plain,
    ( ~ spl0_22
    | ~ spl0_20 ),
    inference(contradiction_clause,[status(thm)],[f4574]) ).

fof(f4581,plain,
    ( spl0_25
    | ~ spl0_22
    | ~ spl0_381 ),
    inference(split_clause,[status(thm)],[f4232,f1149,f1139,f2659]) ).

fof(f4582,plain,
    ( h3(e13) != h3(e13)
    | ~ spl0_274
    | spl0_185 ),
    inference(forward_demodulation,[status(thm)],[f3058,f3535]) ).

fof(f4583,plain,
    ( $false
    | ~ spl0_274
    | spl0_185 ),
    inference(trivial_equality_resolution,[status(esa)],[f4582]) ).

fof(f4584,plain,
    ( ~ spl0_274
    | spl0_185 ),
    inference(contradiction_clause,[status(thm)],[f4583]) ).

fof(f4587,plain,
    ( h4(e13) != h4(e13)
    | ~ spl0_226
    | spl0_208 ),
    inference(forward_demodulation,[status(thm)],[f3068,f3597]) ).

fof(f4588,plain,
    ( $false
    | ~ spl0_226
    | spl0_208 ),
    inference(trivial_equality_resolution,[status(esa)],[f4587]) ).

fof(f4589,plain,
    ( ~ spl0_226
    | spl0_208 ),
    inference(contradiction_clause,[status(thm)],[f4588]) ).

fof(f4600,plain,
    ( e13 != op1(e12,e13)
    | ~ spl0_35 ),
    inference(backward_demodulation,[status(thm)],[f1182,f154]) ).

fof(f4603,plain,
    ( h2(e13) != op2(h2(e12),e21)
    | ~ spl0_35
    | ~ spl0_258
    | spl0_169 ),
    inference(backward_demodulation,[status(thm)],[f1182,f3683]) ).

fof(f4604,plain,
    ( op1(e11,e10) != e13
    | ~ spl0_35 ),
    inference(backward_demodulation,[status(thm)],[f1182,f119]) ).

fof(f4622,plain,
    ( h3(e13) = op2(e22,e22)
    | ~ spl0_275 ),
    inference(backward_demodulation,[status(thm)],[f2095,f3058]) ).

fof(f4655,plain,
    ( op2(e20,e23) != e20
    | ~ spl0_279 ),
    inference(backward_demodulation,[status(thm)],[f2111,f3066]) ).

fof(f4661,plain,
    ( h4(e13) = op2(e23,e20)
    | ~ spl0_279 ),
    inference(backward_demodulation,[status(thm)],[f2111,f3068]) ).

fof(f4662,plain,
    ( h4(e13) = e22
    | ~ spl0_279 ),
    inference(forward_demodulation,[status(thm)],[f3008,f4661]) ).

fof(f4671,plain,
    ( h2(e13) = op2(h2(e10),h2(e11))
    | ~ spl0_162 ),
    inference(forward_demodulation,[status(thm)],[f2989,f1683]) ).

fof(f4692,plain,
    ( op2(e22,e21) != e22
    | ~ spl0_275 ),
    inference(forward_demodulation,[status(thm)],[f2095,f3052]) ).

fof(f4693,plain,
    ( op2(e21,e22) != e22
    | ~ spl0_275 ),
    inference(forward_demodulation,[status(thm)],[f2095,f3055]) ).

fof(f4694,plain,
    ( e22 != h3(e11)
    | ~ spl0_74 ),
    inference(forward_demodulation,[status(thm)],[f1341,f3056]) ).

fof(f4695,plain,
    ( e22 != e22
    | ~ spl0_275
    | ~ spl0_74 ),
    inference(forward_demodulation,[status(thm)],[f2095,f4694]) ).

fof(f4696,plain,
    ( $false
    | ~ spl0_275
    | ~ spl0_74 ),
    inference(trivial_equality_resolution,[status(esa)],[f4695]) ).

fof(f4697,plain,
    ( ~ spl0_275
    | ~ spl0_74 ),
    inference(contradiction_clause,[status(thm)],[f4696]) ).

fof(f4701,plain,
    ( $false
    | ~ spl0_275
    | ~ spl0_90 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1393,f4693]) ).

fof(f4702,plain,
    ( ~ spl0_275
    | ~ spl0_90 ),
    inference(contradiction_clause,[status(thm)],[f4701]) ).

fof(f4704,plain,
    ( ~ spl0_92
    | ~ spl0_298
    | spl0_116 ),
    inference(split_clause,[status(thm)],[f4003,f1399,f2198,f1477]) ).

fof(f4705,plain,
    ( $false
    | ~ spl0_96
    | ~ spl0_100 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1426,f4543]) ).

fof(f4706,plain,
    ( ~ spl0_96
    | ~ spl0_100 ),
    inference(contradiction_clause,[status(thm)],[f4705]) ).

fof(f4707,plain,
    ( e20 = e21
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(forward_demodulation,[status(thm)],[f1413,f1416]) ).

fof(f4708,plain,
    ( $false
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4707,f218]) ).

fof(f4709,plain,
    ( ~ spl0_96
    | ~ spl0_97 ),
    inference(contradiction_clause,[status(thm)],[f4708]) ).

fof(f4710,plain,
    ( spl0_97
    | ~ spl0_355 ),
    inference(split_clause,[status(thm)],[f3798,f1415,f2510]) ).

fof(f4711,plain,
    ( e22 != op2(e21,e23)
    | ~ spl0_298 ),
    inference(forward_demodulation,[status(thm)],[f4154,f3871]) ).

fof(f4713,plain,
    ( ~ spl0_10
    | ~ spl0_348 ),
    inference(split_clause,[status(thm)],[f4310,f1100,f2474]) ).

fof(f4716,plain,
    ( h2(e13) = op2(e21,h2(e11))
    | ~ spl0_258
    | ~ spl0_162 ),
    inference(forward_demodulation,[status(thm)],[f2027,f4671]) ).

fof(f4718,plain,
    ( ~ spl0_116
    | ~ spl0_255
    | ~ spl0_258
    | ~ spl0_161 ),
    inference(split_clause,[status(thm)],[f4389,f1477,f2014,f2026,f1679]) ).

fof(f4721,plain,
    ( ~ spl0_76
    | ~ spl0_279 ),
    inference(split_clause,[status(thm)],[f4655,f1347,f2110]) ).

fof(f4722,plain,
    ( ~ spl0_38
    | ~ spl0_42 ),
    inference(split_clause,[status(thm)],[f4542,f1191,f1204]) ).

fof(f4724,plain,
    ( ~ spl0_10
    | ~ spl0_42 ),
    inference(split_clause,[status(thm)],[f4437,f1100,f1204]) ).

fof(f4725,plain,
    ( ~ spl0_111
    | ~ spl0_227 ),
    inference(split_clause,[status(thm)],[f4362,f1460,f1886]) ).

fof(f4727,plain,
    ( spl0_92
    | ~ spl0_298
    | ~ spl0_116 ),
    inference(split_clause,[status(thm)],[f3928,f1399,f2198,f1477]) ).

fof(f4730,plain,
    ( $false
    | ~ spl0_103 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1435,f3012]) ).

fof(f4731,plain,
    ~ spl0_103,
    inference(contradiction_clause,[status(thm)],[f4730]) ).

fof(f4732,plain,
    ( ~ spl0_93
    | ~ spl0_298
    | spl0_117 ),
    inference(split_clause,[status(thm)],[f3953,f1402,f2198,f1480]) ).

fof(f4733,plain,
    ( ~ spl0_56
    | ~ spl0_40 ),
    inference(split_clause,[status(thm)],[f4302,f1250,f1198]) ).

fof(f4735,plain,
    ( ~ spl0_101
    | ~ spl0_271 ),
    inference(split_clause,[status(thm)],[f4425,f1428,f2078]) ).

fof(f4736,plain,
    ( $false
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1098,f2980]) ).

fof(f4737,plain,
    ~ spl0_9,
    inference(contradiction_clause,[status(thm)],[f4736]) ).

fof(f4738,plain,
    ( spl0_17
    | ~ spl0_52
    | ~ spl0_294 ),
    inference(split_clause,[status(thm)],[f3860,f1123,f1237,f2174]) ).

fof(f4742,plain,
    ( ~ spl0_53
    | ~ spl0_61 ),
    inference(split_clause,[status(thm)],[f4200,f1240,f1266]) ).

fof(f4744,plain,
    ( ~ spl0_123
    | ~ spl0_59
    | spl0_152 ),
    inference(split_clause,[status(thm)],[f4461,f1499,f1259,f1648]) ).

fof(f4746,plain,
    ( spl0_81
    | ~ spl0_397 ),
    inference(split_clause,[status(thm)],[f3738,f1363,f2748]) ).

fof(f4747,plain,
    ( ~ spl0_412
    | ~ spl0_348 ),
    inference(split_clause,[status(thm)],[f3584,f2835,f2474]) ).

fof(f4748,plain,
    ( $false
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1124,f2984]) ).

fof(f4749,plain,
    ~ spl0_17,
    inference(contradiction_clause,[status(thm)],[f4748]) ).

fof(f4751,plain,
    ( spl0_59
    | ~ spl0_14
    | ~ spl0_403 ),
    inference(split_clause,[status(thm)],[f4499,f1259,f1113,f2781]) ).

fof(f4753,plain,
    ( spl0_38
    | ~ spl0_41
    | ~ spl0_327 ),
    inference(split_clause,[status(thm)],[f3339,f1191,f1201,f2357]) ).

fof(f4754,plain,
    ( spl0_17
    | ~ spl0_391 ),
    inference(split_clause,[status(thm)],[f3233,f1123,f2716]) ).

fof(f4759,plain,
    ( spl0_49
    | ~ spl0_305 ),
    inference(split_clause,[status(thm)],[f3265,f1227,f2234]) ).

fof(f4761,plain,
    ( ~ spl0_14
    | spl0_304 ),
    inference(split_clause,[status(thm)],[f3988,f1113,f2230]) ).

fof(f4762,plain,
    ( ~ spl0_370
    | ~ spl0_336 ),
    inference(split_clause,[status(thm)],[f4112,f2597,f2410]) ).

fof(f4763,plain,
    ( e12 = e11
    | ~ spl0_49 ),
    inference(forward_demodulation,[status(thm)],[f2990,f1228]) ).

fof(f4764,plain,
    ( $false
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4763,f215]) ).

fof(f4765,plain,
    ~ spl0_49,
    inference(contradiction_clause,[status(thm)],[f4764]) ).

fof(f4767,plain,
    ( ~ spl0_32
    | ~ spl0_8
    | spl0_348 ),
    inference(split_clause,[status(thm)],[f4548,f1172,f1094,f2474]) ).

fof(f4768,plain,
    ( op2(e20,e22) != e22
    | ~ spl0_354 ),
    inference(forward_demodulation,[status(thm)],[f4154,f3776]) ).

fof(f4769,plain,
    ( spl0_72
    | ~ spl0_354
    | ~ spl0_96 ),
    inference(split_clause,[status(thm)],[f3418,f1334,f2506,f1412]) ).

fof(f4773,plain,
    ( ~ spl0_47
    | ~ spl0_35 ),
    inference(split_clause,[status(thm)],[f4600,f1220,f1181]) ).

fof(f4774,plain,
    ( ~ spl0_19
    | ~ spl0_35 ),
    inference(split_clause,[status(thm)],[f4604,f1129,f1181]) ).

fof(f4775,plain,
    ( $false
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1127,f3864]) ).

fof(f4776,plain,
    ~ spl0_18,
    inference(contradiction_clause,[status(thm)],[f4775]) ).

fof(f4777,plain,
    ( $false
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1104,f2993]) ).

fof(f4778,plain,
    ~ spl0_11,
    inference(contradiction_clause,[status(thm)],[f4777]) ).

fof(f4779,plain,
    ( ~ spl0_94
    | ~ spl0_298 ),
    inference(split_clause,[status(thm)],[f4711,f1405,f2198]) ).

fof(f4780,plain,
    ( ~ spl0_38
    | ~ spl0_22 ),
    inference(split_clause,[status(thm)],[f4563,f1191,f1139]) ).

fof(f4781,plain,
    ( ~ spl0_76
    | ~ spl0_396
    | spl0_398 ),
    inference(split_clause,[status(thm)],[f3478,f1347,f2744,f2752]) ).

fof(f4783,plain,
    ( ~ spl0_93
    | spl0_428 ),
    inference(split_clause,[status(thm)],[f3417,f1402,f2926]) ).

fof(f4784,plain,
    ( ~ spl0_111
    | ~ spl0_95 ),
    inference(split_clause,[status(thm)],[f3164,f1460,f1408]) ).

fof(f4786,plain,
    ( $false
    | ~ spl0_274
    | spl0_196 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3059,f4347]) ).

fof(f4787,plain,
    ( ~ spl0_274
    | spl0_196 ),
    inference(contradiction_clause,[status(thm)],[f4786]) ).

fof(f4788,plain,
    ( h3(e12) = op2(h3(e13),h3(e10))
    | ~ spl0_196 ),
    inference(forward_demodulation,[status(thm)],[f2990,f1789]) ).

fof(f4789,plain,
    ( h3(e12) = op2(h3(e13),e22)
    | ~ spl0_274
    | ~ spl0_196 ),
    inference(forward_demodulation,[status(thm)],[f2091,f4788]) ).

fof(f4790,plain,
    ( h2(e11) = e22
    | ~ spl0_86 ),
    inference(forward_demodulation,[status(thm)],[f289,f1380]) ).

fof(f4792,plain,
    ( e22 != op2(e21,e22)
    | ~ spl0_86 ),
    inference(backward_demodulation,[status(thm)],[f4790,f3042]) ).

fof(f4793,plain,
    ( e22 != op2(e22,e21)
    | ~ spl0_86 ),
    inference(backward_demodulation,[status(thm)],[f4790,f3045]) ).

fof(f4795,plain,
    ( e22 = op2(e21,e21)
    | ~ spl0_86 ),
    inference(backward_demodulation,[status(thm)],[f4790,f289]) ).

fof(f4797,plain,
    ( h2(op1(e13,e11)) != op2(h2(e13),e22)
    | ~ spl0_86
    | spl0_174 ),
    inference(backward_demodulation,[status(thm)],[f4790,f1720]) ).

fof(f4802,plain,
    ( h2(op1(e12,e11)) != op2(h2(e12),e22)
    | ~ spl0_86
    | spl0_170 ),
    inference(forward_demodulation,[status(thm)],[f4790,f1708]) ).

fof(f4804,plain,
    ( e21 != op2(e23,e21)
    | ~ spl0_101 ),
    inference(backward_demodulation,[status(thm)],[f1429,f175]) ).

fof(f4805,plain,
    ( ~ spl0_117
    | ~ spl0_101 ),
    inference(split_clause,[status(thm)],[f4804,f1480,f1428]) ).

fof(f4808,plain,
    ( spl0_115
    | ~ spl0_92
    | ~ spl0_366 ),
    inference(split_clause,[status(thm)],[f3623,f1473,f1399,f2572]) ).

fof(f4809,plain,
    ( e21 = e22
    | ~ spl0_101
    | ~ spl0_102 ),
    inference(forward_demodulation,[status(thm)],[f1429,f1432]) ).

fof(f4810,plain,
    ( $false
    | ~ spl0_101
    | ~ spl0_102 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4809,f221]) ).

fof(f4811,plain,
    ( ~ spl0_101
    | ~ spl0_102 ),
    inference(contradiction_clause,[status(thm)],[f4810]) ).

fof(f4812,plain,
    ( e22 != op2(e21,e21)
    | ~ spl0_86
    | ~ spl0_258
    | spl0_161 ),
    inference(forward_demodulation,[status(thm)],[f4790,f3443]) ).

fof(f4813,plain,
    ( h3(e13) = h3(e11)
    | ~ spl0_275 ),
    inference(forward_demodulation,[status(thm)],[f293,f4622]) ).

fof(f4818,plain,
    ( $false
    | ~ spl0_365 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3415,f3065]) ).

fof(f4819,plain,
    ~ spl0_365,
    inference(contradiction_clause,[status(thm)],[f4818]) ).

fof(f4821,plain,
    ( spl0_248
    | ~ spl0_311 ),
    inference(split_clause,[status(thm)],[f3430,f1986,f2266]) ).

fof(f4823,plain,
    ( $false
    | ~ spl0_375 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3421,f3055]) ).

fof(f4824,plain,
    ~ spl0_375,
    inference(contradiction_clause,[status(thm)],[f4823]) ).

fof(f4827,plain,
    ( e21 != op2(e23,e22)
    | ~ spl0_89 ),
    inference(backward_demodulation,[status(thm)],[f1390,f180]) ).

fof(f4829,plain,
    ( e21 != op2(e21,e23)
    | ~ spl0_89 ),
    inference(backward_demodulation,[status(thm)],[f1390,f199]) ).

fof(f4839,plain,
    ( op2(e22,e20) != e21
    | ~ spl0_101 ),
    inference(forward_demodulation,[status(thm)],[f1429,f200]) ).

fof(f4843,plain,
    ( op2(e22,e20) != e23
    | ~ spl0_111 ),
    inference(backward_demodulation,[status(thm)],[f1461,f202]) ).

fof(f4844,plain,
    ( ~ spl0_99
    | ~ spl0_111 ),
    inference(split_clause,[status(thm)],[f4843,f1421,f1460]) ).

fof(f4851,plain,
    ( $false
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1497,f4155]) ).

fof(f4852,plain,
    ~ spl0_122,
    inference(contradiction_clause,[status(thm)],[f4851]) ).

fof(f4853,plain,
    ( h3(e11) = op2(e23,e22)
    | ~ spl0_239 ),
    inference(forward_demodulation,[status(thm)],[f293,f1947]) ).

fof(f4854,plain,
    ( $false
    | ~ spl0_239 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4853,f3054]) ).

fof(f4855,plain,
    ~ spl0_239,
    inference(contradiction_clause,[status(thm)],[f4854]) ).

fof(f4864,plain,
    ( e11 != op1(e13,e12)
    | ~ spl0_53 ),
    inference(backward_demodulation,[status(thm)],[f1241,f161]) ).

fof(f4867,plain,
    ( op1(e12,e10) != e10
    | ~ spl0_36 ),
    inference(backward_demodulation,[status(thm)],[f1186,f152]) ).

fof(f4882,plain,
    ( e10 != op1(e11,e13)
    | ~ spl0_12 ),
    inference(backward_demodulation,[status(thm)],[f1108,f134]) ).

fof(f4886,plain,
    ( $false
    | ~ spl0_226
    | spl0_219 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3069,f4348]) ).

fof(f4887,plain,
    ( ~ spl0_226
    | spl0_219 ),
    inference(contradiction_clause,[status(thm)],[f4886]) ).

fof(f4896,plain,
    ( op2(e21,e23) != e21
    | ~ spl0_283 ),
    inference(backward_demodulation,[status(thm)],[f2127,f3065]) ).

fof(f4901,plain,
    ( op2(e23,e22) != e21
    | ~ spl0_283 ),
    inference(backward_demodulation,[status(thm)],[f2127,f3062]) ).

fof(f4902,plain,
    ( ~ spl0_121
    | ~ spl0_283 ),
    inference(split_clause,[status(thm)],[f4901,f1493,f2126]) ).

fof(f4903,plain,
    ( e22 = e20
    | ~ spl0_86
    | ~ spl0_84 ),
    inference(forward_demodulation,[status(thm)],[f4790,f3070]) ).

fof(f4904,plain,
    ( $false
    | ~ spl0_86
    | ~ spl0_84 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4903,f219]) ).

fof(f4905,plain,
    ( ~ spl0_86
    | ~ spl0_84 ),
    inference(contradiction_clause,[status(thm)],[f4904]) ).

fof(f4918,plain,
    ( e21 != op2(e22,e21)
    | ~ spl0_86
    | ~ spl0_261
    | ~ spl0_31
    | spl0_168 ),
    inference(forward_demodulation,[status(thm)],[f4790,f3959]) ).

fof(f4919,plain,
    ( e21 != e21
    | ~ spl0_101
    | ~ spl0_86
    | ~ spl0_261
    | ~ spl0_31
    | spl0_168 ),
    inference(forward_demodulation,[status(thm)],[f1429,f4918]) ).

fof(f4920,plain,
    ( $false
    | ~ spl0_101
    | ~ spl0_86
    | ~ spl0_261
    | ~ spl0_31
    | spl0_168 ),
    inference(trivial_equality_resolution,[status(esa)],[f4919]) ).

fof(f4921,plain,
    ( ~ spl0_101
    | ~ spl0_86
    | ~ spl0_261
    | ~ spl0_31
    | spl0_168 ),
    inference(contradiction_clause,[status(thm)],[f4920]) ).

fof(f4923,plain,
    ( ~ spl0_72
    | ~ spl0_96
    | spl0_354 ),
    inference(split_clause,[status(thm)],[f4483,f1334,f1412,f2506]) ).

fof(f4924,plain,
    ( spl0_93
    | ~ spl0_298
    | ~ spl0_117 ),
    inference(split_clause,[status(thm)],[f3929,f1402,f2198,f1480]) ).

fof(f4925,plain,
    ( e20 = e23
    | ~ spl0_96
    | ~ spl0_99 ),
    inference(forward_demodulation,[status(thm)],[f1413,f1422]) ).

fof(f4926,plain,
    ( $false
    | ~ spl0_96
    | ~ spl0_99 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4925,f220]) ).

fof(f4927,plain,
    ( ~ spl0_96
    | ~ spl0_99 ),
    inference(contradiction_clause,[status(thm)],[f4926]) ).

fof(f4935,plain,
    ( h2(e13) = op2(e21,e22)
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_162 ),
    inference(forward_demodulation,[status(thm)],[f4790,f4716]) ).

fof(f4940,plain,
    ( ~ spl0_102
    | ~ spl0_275 ),
    inference(split_clause,[status(thm)],[f4692,f1431,f2094]) ).

fof(f4963,plain,
    ( ~ spl0_92
    | ~ spl0_255 ),
    inference(split_clause,[status(thm)],[f4072,f1399,f2014]) ).

fof(f4965,plain,
    ( ~ spl0_86
    | ~ spl0_258
    | spl0_161 ),
    inference(split_clause,[status(thm)],[f4812,f1379,f2026,f1679]) ).

fof(f4984,plain,
    ( h4(e12) = e21
    | ~ spl0_283
    | ~ spl0_229 ),
    inference(forward_demodulation,[status(thm)],[f2127,f4346]) ).

fof(f4985,plain,
    ( $false
    | spl0_284
    | ~ spl0_283
    | ~ spl0_229 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4984,f2132]) ).

fof(f4986,plain,
    ( spl0_284
    | ~ spl0_283
    | ~ spl0_229 ),
    inference(contradiction_clause,[status(thm)],[f4985]) ).

fof(f4996,plain,
    ( e20 != op2(e23,e22)
    | ~ spl0_267 ),
    inference(backward_demodulation,[status(thm)],[f2063,f3054]) ).

fof(f4997,plain,
    ( ~ spl0_120
    | ~ spl0_267 ),
    inference(split_clause,[status(thm)],[f4996,f1490,f2062]) ).

fof(f5004,plain,
    ( spl0_123
    | ~ spl0_229
    | ~ spl0_287 ),
    inference(split_clause,[status(thm)],[f4095,f1499,f1894,f2142]) ).

fof(f5007,plain,
    ( $false
    | ~ spl0_77 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1351,f3000]) ).

fof(f5008,plain,
    ~ spl0_77,
    inference(contradiction_clause,[status(thm)],[f5007]) ).

fof(f5009,plain,
    ( e21 = op2(e21,e22)
    | ~ spl0_261
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_162 ),
    inference(backward_demodulation,[status(thm)],[f2039,f4935]) ).

fof(f5025,plain,
    ( e21 = h4(e11)
    | ~ spl0_284
    | ~ spl0_229 ),
    inference(forward_demodulation,[status(thm)],[f2131,f4346]) ).

fof(f5070,plain,
    ( op1(e11,e10) != e10
    | ~ spl0_24 ),
    inference(backward_demodulation,[status(thm)],[f1147,f147]) ).

fof(f5071,plain,
    ( ~ spl0_16
    | ~ spl0_24 ),
    inference(split_clause,[status(thm)],[f5070,f1120,f1146]) ).

fof(f5074,plain,
    ( e21 = e23
    | ~ spl0_261
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_162
    | ~ spl0_91 ),
    inference(forward_demodulation,[status(thm)],[f5009,f1396]) ).

fof(f5075,plain,
    ( $false
    | ~ spl0_261
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_162
    | ~ spl0_91 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5074,f222]) ).

fof(f5076,plain,
    ( ~ spl0_261
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_162
    | ~ spl0_91 ),
    inference(contradiction_clause,[status(thm)],[f5075]) ).

fof(f5083,plain,
    ( ~ spl0_74
    | ~ spl0_354 ),
    inference(split_clause,[status(thm)],[f4768,f1340,f2506]) ).

fof(f5100,plain,
    ( ~ spl0_97
    | ~ spl0_101 ),
    inference(split_clause,[status(thm)],[f4839,f1415,f1428]) ).

fof(f5118,plain,
    ( e12 != op1(e13,e12)
    | ~ spl0_46
    | spl0_232 ),
    inference(backward_demodulation,[status(thm)],[f1218,f1912]) ).

fof(f5119,plain,
    ( ~ spl0_58
    | ~ spl0_46
    | spl0_232 ),
    inference(split_clause,[status(thm)],[f5118,f1256,f1217,f1910]) ).

fof(f5126,plain,
    ( e10 != op1(e13,e13)
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f1108,f136]) ).

fof(f5127,plain,
    ( e10 != e10
    | ~ spl0_60
    | ~ spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f1264,f5126]) ).

fof(f5128,plain,
    ( $false
    | ~ spl0_60
    | ~ spl0_12 ),
    inference(trivial_equality_resolution,[status(esa)],[f5127]) ).

fof(f5129,plain,
    ( ~ spl0_60
    | ~ spl0_12 ),
    inference(contradiction_clause,[status(thm)],[f5128]) ).

fof(f5157,plain,
    ( e11 = e13
    | ~ spl0_41
    | ~ spl0_43 ),
    inference(forward_demodulation,[status(thm)],[f1202,f1208]) ).

fof(f5158,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5157,f216]) ).

fof(f5159,plain,
    ( ~ spl0_41
    | ~ spl0_43 ),
    inference(contradiction_clause,[status(thm)],[f5158]) ).

fof(f5161,plain,
    ( e11 = e10
    | ~ spl0_53
    | ~ spl0_52 ),
    inference(forward_demodulation,[status(thm)],[f1241,f1238]) ).

fof(f5162,plain,
    ( $false
    | ~ spl0_53
    | ~ spl0_52 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5161,f212]) ).

fof(f5163,plain,
    ( ~ spl0_53
    | ~ spl0_52 ),
    inference(contradiction_clause,[status(thm)],[f5162]) ).

fof(f5170,plain,
    ( e10 = e11
    | ~ spl0_36
    | ~ spl0_37 ),
    inference(forward_demodulation,[status(thm)],[f1186,f1189]) ).

fof(f5171,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5170,f212]) ).

fof(f5172,plain,
    ( ~ spl0_36
    | ~ spl0_37 ),
    inference(contradiction_clause,[status(thm)],[f5171]) ).

fof(f5188,plain,
    ( e12 = e10
    | ~ spl0_10
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f1101,f1095]) ).

fof(f5189,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5188,f213]) ).

fof(f5190,plain,
    ( ~ spl0_10
    | ~ spl0_8 ),
    inference(contradiction_clause,[status(thm)],[f5189]) ).

fof(f5199,plain,
    ( ~ spl0_28
    | ~ spl0_12 ),
    inference(split_clause,[status(thm)],[f4882,f1159,f1107]) ).

fof(f5205,plain,
    ( e11 = e10
    | ~ spl0_29
    | ~ spl0_28 ),
    inference(forward_demodulation,[status(thm)],[f1163,f1160]) ).

fof(f5206,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5205,f212]) ).

fof(f5207,plain,
    ( ~ spl0_29
    | ~ spl0_28 ),
    inference(contradiction_clause,[status(thm)],[f5206]) ).

fof(f5212,plain,
    ( ~ spl0_121
    | ~ spl0_89 ),
    inference(split_clause,[status(thm)],[f4827,f1493,f1389]) ).

fof(f5214,plain,
    ( ~ spl0_93
    | ~ spl0_89 ),
    inference(split_clause,[status(thm)],[f4829,f1402,f1389]) ).

fof(f5215,plain,
    ( ~ spl0_267
    | ~ spl0_96 ),
    inference(split_clause,[status(thm)],[f4453,f2062,f1412]) ).

fof(f5237,plain,
    ( $false
    | ~ spl0_119 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1487,f3011]) ).

fof(f5238,plain,
    ~ spl0_119,
    inference(contradiction_clause,[status(thm)],[f5237]) ).

fof(f5240,plain,
    ( ~ spl0_120
    | ~ spl0_108
    | spl0_238 ),
    inference(split_clause,[status(thm)],[f3716,f1490,f1451,f1942]) ).

fof(f5245,plain,
    ( $false
    | spl0_263
    | ~ spl0_86 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4790,f2048]) ).

fof(f5246,plain,
    ( spl0_263
    | ~ spl0_86 ),
    inference(contradiction_clause,[status(thm)],[f5245]) ).

fof(f5247,plain,
    ( e22 = h2(e11)
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86 ),
    inference(forward_demodulation,[status(thm)],[f4065,f4795]) ).

fof(f5250,plain,
    ( e22 != op2(e21,e23)
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86 ),
    inference(backward_demodulation,[status(thm)],[f5247,f3041]) ).

fof(f5251,plain,
    ( ~ spl0_94
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86 ),
    inference(split_clause,[status(thm)],[f5250,f1405,f2026,f1679,f1379]) ).

fof(f5253,plain,
    ( h2(op1(e11,e10)) != op2(e22,e21)
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_258
    | spl0_165 ),
    inference(backward_demodulation,[status(thm)],[f5247,f3491]) ).

fof(f5256,plain,
    ( e22 = op2(e21,e21)
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_161 ),
    inference(backward_demodulation,[status(thm)],[f5247,f4065]) ).

fof(f5257,plain,
    ( spl0_123
    | ~ spl0_310
    | ~ spl0_408 ),
    inference(split_clause,[status(thm)],[f4487,f1499,f2262,f2810]) ).

fof(f5258,plain,
    ( spl0_123
    | ~ spl0_78
    | ~ spl0_408 ),
    inference(split_clause,[status(thm)],[f4160,f1499,f1353,f2810]) ).

fof(f5263,plain,
    ( ~ spl0_108
    | ~ spl0_279 ),
    inference(split_clause,[status(thm)],[f4039,f1451,f2110]) ).

fof(f5268,plain,
    ( h3(e12) != op2(e21,e21)
    | ~ spl0_22
    | ~ spl0_271
    | spl0_189 ),
    inference(forward_demodulation,[status(thm)],[f1140,f4418]) ).

fof(f5269,plain,
    ( ~ spl0_121
    | ~ spl0_271
    | spl0_239 ),
    inference(split_clause,[status(thm)],[f3473,f1493,f2078,f1946]) ).

fof(f5275,plain,
    ( ~ spl0_93
    | ~ spl0_283 ),
    inference(split_clause,[status(thm)],[f4896,f1402,f2126]) ).

fof(f5278,plain,
    ( ~ spl0_90
    | ~ spl0_86 ),
    inference(split_clause,[status(thm)],[f4792,f1392,f1379]) ).

fof(f5279,plain,
    ( ~ spl0_102
    | ~ spl0_86 ),
    inference(split_clause,[status(thm)],[f4793,f1431,f1379]) ).

fof(f5287,plain,
    ( h1(e12) != op2(e21,e21)
    | ~ spl0_22
    | ~ spl0_247
    | spl0_143 ),
    inference(forward_demodulation,[status(thm)],[f1140,f3439]) ).

fof(f5288,plain,
    ( e22 != op2(e21,e21)
    | ~ spl0_22
    | ~ spl0_247
    | spl0_143 ),
    inference(forward_demodulation,[status(thm)],[f4154,f5287]) ).

fof(f5294,plain,
    ( h3(e12) != op2(h3(e11),h3(e11))
    | ~ spl0_22
    | spl0_189 ),
    inference(forward_demodulation,[status(thm)],[f1140,f1769]) ).

fof(f5295,plain,
    ( h4(e12) != op2(h4(e11),h4(e11))
    | ~ spl0_22
    | spl0_212 ),
    inference(forward_demodulation,[status(thm)],[f1140,f1842]) ).

fof(f5300,plain,
    ( e13 != op1(e13,e12)
    | ~ spl0_43 ),
    inference(backward_demodulation,[status(thm)],[f1208,f133]) ).

fof(f5301,plain,
    ( ~ spl0_59
    | ~ spl0_43 ),
    inference(split_clause,[status(thm)],[f5300,f1259,f1207]) ).

fof(f5302,plain,
    ( op1(e12,e10) != e13
    | ~ spl0_43 ),
    inference(backward_demodulation,[status(thm)],[f1208,f153]) ).

fof(f5303,plain,
    ( ~ spl0_35
    | ~ spl0_43 ),
    inference(split_clause,[status(thm)],[f5302,f1181,f1207]) ).

fof(f5306,plain,
    ( spl0_28
    | ~ spl0_52
    | ~ spl0_292 ),
    inference(split_clause,[status(thm)],[f3872,f1159,f1237,f2166]) ).

fof(f5323,plain,
    ( h3(e11) != op2(h3(e12),h3(e11))
    | ~ spl0_37
    | spl0_193 ),
    inference(forward_demodulation,[status(thm)],[f1189,f1781]) ).

fof(f5326,plain,
    ( e11 != op1(e13,e12)
    | ~ spl0_25 ),
    inference(backward_demodulation,[status(thm)],[f1150,f132]) ).

fof(f5328,plain,
    ( h2(e11) != op2(h2(e11),h2(e12))
    | ~ spl0_25
    | spl0_167 ),
    inference(backward_demodulation,[status(thm)],[f1150,f1699]) ).

fof(f5329,plain,
    ( h3(e11) != op2(h3(e11),h3(e12))
    | ~ spl0_25
    | spl0_190 ),
    inference(backward_demodulation,[status(thm)],[f1150,f1772]) ).

fof(f5335,plain,
    ( e11 != op1(e11,e13)
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f1150,f151]) ).

fof(f5353,plain,
    ( op1(e12,e11) = e12
    | ~ spl0_25
    | ~ spl0_371 ),
    inference(forward_demodulation,[status(thm)],[f1150,f2602]) ).

fof(f5354,plain,
    ( e11 = e12
    | ~ spl0_37
    | ~ spl0_25
    | ~ spl0_371 ),
    inference(forward_demodulation,[status(thm)],[f1189,f5353]) ).

fof(f5355,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_25
    | ~ spl0_371 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5354,f215]) ).

fof(f5356,plain,
    ( ~ spl0_37
    | ~ spl0_25
    | ~ spl0_371 ),
    inference(contradiction_clause,[status(thm)],[f5355]) ).

fof(f5357,plain,
    ( op1(e12,e11) != e12
    | ~ spl0_25
    | spl0_371 ),
    inference(forward_demodulation,[status(thm)],[f1150,f2603]) ).

fof(f5361,plain,
    ( op1(e11,e11) = e11
    | ~ spl0_37
    | ~ spl0_338 ),
    inference(forward_demodulation,[status(thm)],[f1189,f2419]) ).

fof(f5362,plain,
    ( e12 = e11
    | ~ spl0_22
    | ~ spl0_37
    | ~ spl0_338 ),
    inference(forward_demodulation,[status(thm)],[f1140,f5361]) ).

fof(f5363,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_37
    | ~ spl0_338 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5362,f215]) ).

fof(f5364,plain,
    ( ~ spl0_22
    | ~ spl0_37
    | ~ spl0_338 ),
    inference(contradiction_clause,[status(thm)],[f5363]) ).

fof(f5378,plain,
    ( ~ spl0_120
    | ~ spl0_72 ),
    inference(split_clause,[status(thm)],[f4492,f1490,f1334]) ).

fof(f5384,plain,
    ( h1(e13) != op2(e22,e20)
    | ~ spl0_35
    | ~ spl0_242
    | spl0_146 ),
    inference(forward_demodulation,[status(thm)],[f1182,f4229]) ).

fof(f5385,plain,
    ( e23 != op2(e22,e20)
    | ~ spl0_35
    | ~ spl0_242
    | spl0_146 ),
    inference(forward_demodulation,[status(thm)],[f3027,f5384]) ).

fof(f5390,plain,
    ( op1(e10,e13) = e10
    | ~ spl0_35
    | ~ spl0_350 ),
    inference(forward_demodulation,[status(thm)],[f1182,f2483]) ).

fof(f5407,plain,
    ( ~ spl0_86
    | ~ spl0_22
    | ~ spl0_247
    | spl0_143 ),
    inference(split_clause,[status(thm)],[f5288,f1379,f1139,f1982,f1621]) ).

fof(f5411,plain,
    ( h2(e10) != op2(e22,e21)
    | ~ spl0_16
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_258
    | spl0_165 ),
    inference(forward_demodulation,[status(thm)],[f1121,f5253]) ).

fof(f5412,plain,
    ( e21 != op2(e22,e21)
    | ~ spl0_16
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_258
    | spl0_165 ),
    inference(forward_demodulation,[status(thm)],[f2027,f5411]) ).

fof(f5413,plain,
    ( e10 = e11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[status(thm)],[f1108,f1111]) ).

fof(f5414,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5413,f212]) ).

fof(f5415,plain,
    ( ~ spl0_12
    | ~ spl0_13 ),
    inference(contradiction_clause,[status(thm)],[f5414]) ).

fof(f5423,plain,
    ( h4(e12) != op2(h4(e11),e23)
    | ~ spl0_127
    | ~ spl0_22
    | spl0_212 ),
    inference(backward_demodulation,[status(thm)],[f3083,f5295]) ).

fof(f5424,plain,
    ( h4(e12) != op2(e23,e23)
    | ~ spl0_127
    | ~ spl0_22
    | spl0_212 ),
    inference(forward_demodulation,[status(thm)],[f3083,f5423]) ).

fof(f5433,plain,
    ( h4(e13) = op2(e23,e23)
    | ~ spl0_127 ),
    inference(forward_demodulation,[status(thm)],[f3083,f3068]) ).

fof(f5439,plain,
    ( e23 = h4(e13)
    | ~ spl0_127
    | ~ spl0_227 ),
    inference(forward_demodulation,[status(thm)],[f5433,f4372]) ).

fof(f5441,plain,
    ( e23 = op2(e23,e23)
    | ~ spl0_227
    | ~ spl0_127 ),
    inference(backward_demodulation,[status(thm)],[f5439,f5433]) ).

fof(f5444,plain,
    ( e21 = e23
    | ~ spl0_127
    | ~ spl0_284
    | ~ spl0_229 ),
    inference(forward_demodulation,[status(thm)],[f3083,f5025]) ).

fof(f5445,plain,
    ( $false
    | ~ spl0_127
    | ~ spl0_284
    | ~ spl0_229 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5444,f222]) ).

fof(f5446,plain,
    ( ~ spl0_127
    | ~ spl0_284
    | ~ spl0_229 ),
    inference(contradiction_clause,[status(thm)],[f5445]) ).

fof(f5447,plain,
    ( e23 != e23
    | ~ spl0_127
    | ~ spl0_227
    | spl0_229 ),
    inference(forward_demodulation,[status(thm)],[f5439,f1896]) ).

fof(f5448,plain,
    ( $false
    | ~ spl0_127
    | ~ spl0_227
    | spl0_229 ),
    inference(trivial_equality_resolution,[status(esa)],[f5447]) ).

fof(f5449,plain,
    ( ~ spl0_127
    | ~ spl0_227
    | spl0_229 ),
    inference(contradiction_clause,[status(thm)],[f5448]) ).

fof(f5456,plain,
    ( $false
    | ~ spl0_81 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1364,f3005]) ).

fof(f5457,plain,
    ~ spl0_81,
    inference(contradiction_clause,[status(thm)],[f5456]) ).

fof(f5458,plain,
    ( h2(e13) != h2(e13)
    | ~ spl0_258
    | spl0_162 ),
    inference(forward_demodulation,[status(thm)],[f3047,f3505]) ).

fof(f5459,plain,
    ( $false
    | ~ spl0_258
    | spl0_162 ),
    inference(trivial_equality_resolution,[status(esa)],[f5458]) ).

fof(f5460,plain,
    ( ~ spl0_258
    | spl0_162 ),
    inference(contradiction_clause,[status(thm)],[f5459]) ).

fof(f5466,plain,
    ( h4(e12) = e23
    | ~ spl0_127
    | ~ spl0_229 ),
    inference(forward_demodulation,[status(thm)],[f3083,f4346]) ).

fof(f5468,plain,
    ( $false
    | ~ spl0_75 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1344,f3010]) ).

fof(f5469,plain,
    ~ spl0_75,
    inference(contradiction_clause,[status(thm)],[f5468]) ).

fof(f5480,plain,
    ( spl0_119
    | ~ spl0_95
    | ~ spl0_298 ),
    inference(split_clause,[status(thm)],[f3286,f1486,f1408,f2198]) ).

fof(f5481,plain,
    ( ~ spl0_101
    | ~ spl0_16
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_258
    | spl0_165 ),
    inference(split_clause,[status(thm)],[f5412,f1428,f1120,f1679,f1379,f2026,f1691]) ).

fof(f5484,plain,
    ( $false
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1484,f4316]) ).

fof(f5485,plain,
    ~ spl0_118,
    inference(contradiction_clause,[status(thm)],[f5484]) ).

fof(f5486,plain,
    ( h2(e10) = op2(h2(e11),h2(e10))
    | ~ spl0_16
    | ~ spl0_165 ),
    inference(forward_demodulation,[status(thm)],[f1121,f1692]) ).

fof(f5487,plain,
    ( e21 = op2(h2(e11),h2(e10))
    | ~ spl0_258
    | ~ spl0_16
    | ~ spl0_165 ),
    inference(forward_demodulation,[status(thm)],[f2027,f5486]) ).

fof(f5488,plain,
    ( e21 = op2(h2(e11),e21)
    | ~ spl0_258
    | ~ spl0_16
    | ~ spl0_165 ),
    inference(forward_demodulation,[status(thm)],[f2027,f5487]) ).

fof(f5490,plain,
    ( e21 = op2(e21,h2(e11))
    | ~ spl0_261 ),
    inference(backward_demodulation,[status(thm)],[f2039,f3047]) ).

fof(f5492,plain,
    ( h2(e12) = op2(e21,e21)
    | ~ spl0_261 ),
    inference(backward_demodulation,[status(thm)],[f2039,f3048]) ).

fof(f5495,plain,
    ( h2(op1(e13,e13)) != op2(e21,h2(e13))
    | ~ spl0_261
    | spl0_176 ),
    inference(forward_demodulation,[status(thm)],[f2039,f1726]) ).

fof(f5496,plain,
    ( h2(op1(e13,e13)) != op2(e21,e21)
    | ~ spl0_261
    | spl0_176 ),
    inference(forward_demodulation,[status(thm)],[f2039,f5495]) ).

fof(f5505,plain,
    ( ~ spl0_99
    | ~ spl0_35
    | ~ spl0_242
    | spl0_146 ),
    inference(split_clause,[status(thm)],[f5385,f1421,f1181,f1962,f1630]) ).

fof(f5559,plain,
    ( h3(e13) = op2(e22,e20)
    | ~ spl0_267 ),
    inference(backward_demodulation,[status(thm)],[f2063,f3058]) ).

fof(f5642,plain,
    ( op1(e13,e11) = e13
    | ~ spl0_29
    | ~ spl0_361 ),
    inference(forward_demodulation,[status(thm)],[f1163,f2544]) ).

fof(f5643,plain,
    ( e11 = e13
    | ~ spl0_53
    | ~ spl0_29
    | ~ spl0_361 ),
    inference(forward_demodulation,[status(thm)],[f1241,f5642]) ).

fof(f5644,plain,
    ( $false
    | ~ spl0_53
    | ~ spl0_29
    | ~ spl0_361 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5643,f216]) ).

fof(f5645,plain,
    ( ~ spl0_53
    | ~ spl0_29
    | ~ spl0_361 ),
    inference(contradiction_clause,[status(thm)],[f5644]) ).

fof(f5648,plain,
    ( ~ spl0_44
    | ~ spl0_8
    | ~ spl0_232 ),
    inference(split_clause,[status(thm)],[f4530,f1211,f1094,f1910]) ).

fof(f5650,plain,
    ( e23 = e21
    | ~ spl0_99
    | ~ spl0_97 ),
    inference(forward_demodulation,[status(thm)],[f1422,f1416]) ).

fof(f5651,plain,
    ( $false
    | ~ spl0_99
    | ~ spl0_97 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5650,f222]) ).

fof(f5652,plain,
    ( ~ spl0_99
    | ~ spl0_97 ),
    inference(contradiction_clause,[status(thm)],[f5651]) ).

fof(f5653,plain,
    ( e23 = e22
    | ~ spl0_99
    | ~ spl0_98 ),
    inference(forward_demodulation,[status(thm)],[f1422,f1419]) ).

fof(f5654,plain,
    ( $false
    | ~ spl0_99
    | ~ spl0_98 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5653,f223]) ).

fof(f5655,plain,
    ( ~ spl0_99
    | ~ spl0_98 ),
    inference(contradiction_clause,[status(thm)],[f5654]) ).

fof(f5667,plain,
    ( ~ spl0_57
    | ~ spl0_25 ),
    inference(split_clause,[status(thm)],[f5326,f1253,f1149]) ).

fof(f5668,plain,
    ( ~ spl0_38
    | ~ spl0_25
    | spl0_371 ),
    inference(split_clause,[status(thm)],[f5357,f1191,f1149,f2601]) ).

fof(f5669,plain,
    ( ~ spl0_29
    | ~ spl0_25 ),
    inference(split_clause,[status(thm)],[f5335,f1162,f1149]) ).

fof(f5694,plain,
    ( ~ spl0_32
    | ~ spl0_36 ),
    inference(split_clause,[status(thm)],[f4867,f1172,f1185]) ).

fof(f5705,plain,
    ( h3(e13) = e23
    | ~ spl0_99
    | ~ spl0_267 ),
    inference(forward_demodulation,[status(thm)],[f1422,f5559]) ).

fof(f5706,plain,
    ( $false
    | spl0_206
    | ~ spl0_99
    | ~ spl0_267 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5705,f1823]) ).

fof(f5707,plain,
    ( spl0_206
    | ~ spl0_99
    | ~ spl0_267 ),
    inference(contradiction_clause,[status(thm)],[f5706]) ).

fof(f5710,plain,
    ( e13 = e10
    | ~ spl0_63
    | ~ spl0_60 ),
    inference(forward_demodulation,[status(thm)],[f1273,f1264]) ).

fof(f5711,plain,
    ( $false
    | ~ spl0_63
    | ~ spl0_60 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5710,f214]) ).

fof(f5712,plain,
    ( ~ spl0_63
    | ~ spl0_60 ),
    inference(contradiction_clause,[status(thm)],[f5711]) ).

fof(f5713,plain,
    ( ~ spl0_52
    | ~ spl0_20 ),
    inference(split_clause,[status(thm)],[f3110,f1237,f1133]) ).

fof(f5715,plain,
    ( e20 = e21
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(forward_demodulation,[status(thm)],[f1478,f1481]) ).

fof(f5716,plain,
    ( $false
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5715,f218]) ).

fof(f5717,plain,
    ( ~ spl0_116
    | ~ spl0_117 ),
    inference(contradiction_clause,[status(thm)],[f5716]) ).

fof(f5720,plain,
    ( e23 = op2(e23,e23)
    | ~ spl0_229
    | ~ spl0_127 ),
    inference(forward_demodulation,[status(thm)],[f1895,f5433]) ).

fof(f5721,plain,
    ( spl0_47
    | ~ spl0_59
    | ~ spl0_232 ),
    inference(split_clause,[status(thm)],[f4531,f1220,f1259,f1910]) ).

fof(f5732,plain,
    ( ~ spl0_57
    | ~ spl0_53 ),
    inference(split_clause,[status(thm)],[f4864,f1253,f1240]) ).

fof(f5737,plain,
    ( spl0_12
    | ~ spl0_35
    | ~ spl0_350 ),
    inference(split_clause,[status(thm)],[f5390,f1107,f1181,f2482]) ).

fof(f5740,plain,
    ( ~ spl0_26
    | ~ spl0_22 ),
    inference(split_clause,[status(thm)],[f4211,f1152,f1139]) ).

fof(f5747,plain,
    ( e23 = e22
    | ~ spl0_229
    | ~ spl0_279 ),
    inference(forward_demodulation,[status(thm)],[f1895,f4662]) ).

fof(f5748,plain,
    ( $false
    | ~ spl0_229
    | ~ spl0_279 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5747,f223]) ).

fof(f5749,plain,
    ( ~ spl0_229
    | ~ spl0_279 ),
    inference(contradiction_clause,[status(thm)],[f5748]) ).

fof(f5757,plain,
    ( op2(e22,h2(e13)) = e22
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_162
    | ~ spl0_376 ),
    inference(backward_demodulation,[status(thm)],[f4935,f2631]) ).

fof(f5780,plain,
    ( e10 != op1(e12,e12)
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f1095,f129]) ).

fof(f5782,plain,
    ( h4(e10) != op2(e23,h4(e12))
    | ~ spl0_8
    | ~ spl0_226
    | spl0_209 ),
    inference(forward_demodulation,[status(thm)],[f1095,f3386]) ).

fof(f5783,plain,
    ( e23 != op2(e23,h4(e12))
    | ~ spl0_8
    | ~ spl0_226
    | spl0_209 ),
    inference(forward_demodulation,[status(thm)],[f1883,f5782]) ).

fof(f5784,plain,
    ( e23 != op2(e23,h4(e11))
    | ~ spl0_229
    | ~ spl0_8
    | ~ spl0_226
    | spl0_209 ),
    inference(forward_demodulation,[status(thm)],[f4346,f5783]) ).

fof(f5787,plain,
    ( h3(e10) != op2(e22,h3(e12))
    | ~ spl0_8
    | ~ spl0_274
    | spl0_186 ),
    inference(forward_demodulation,[status(thm)],[f1095,f3381]) ).

fof(f5788,plain,
    ( e22 != op2(e22,h3(e12))
    | ~ spl0_8
    | ~ spl0_274
    | spl0_186 ),
    inference(forward_demodulation,[status(thm)],[f2091,f5787]) ).

fof(f5789,plain,
    ( h2(e10) != op2(e21,h2(e12))
    | ~ spl0_8
    | ~ spl0_258
    | spl0_163 ),
    inference(forward_demodulation,[status(thm)],[f1095,f3376]) ).

fof(f5790,plain,
    ( e21 != op2(e21,h2(e12))
    | ~ spl0_8
    | ~ spl0_258
    | spl0_163 ),
    inference(forward_demodulation,[status(thm)],[f2027,f5789]) ).

fof(f5796,plain,
    ( h2(op1(e11,e11)) != op2(e22,h2(e11))
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | spl0_166 ),
    inference(forward_demodulation,[status(thm)],[f5247,f1696]) ).

fof(f5797,plain,
    ( h2(op1(e11,e11)) != op2(e22,e22)
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | spl0_166 ),
    inference(forward_demodulation,[status(thm)],[f5247,f5796]) ).

fof(f5799,plain,
    ( h4(e11) != e23
    | ~ spl0_229
    | spl0_228 ),
    inference(forward_demodulation,[status(thm)],[f4346,f1892]) ).

fof(f5801,plain,
    ( h2(e12) != op2(e21,h2(e13))
    | ~ spl0_14
    | ~ spl0_258
    | spl0_164 ),
    inference(forward_demodulation,[status(thm)],[f1114,f3377]) ).

fof(f5803,plain,
    ( h4(e11) = e23
    | ~ spl0_127
    | ~ spl0_229 ),
    inference(forward_demodulation,[status(thm)],[f4346,f5466]) ).

fof(f5804,plain,
    ( $false
    | spl0_228
    | ~ spl0_127
    | ~ spl0_229 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5803,f5799]) ).

fof(f5805,plain,
    ( spl0_228
    | ~ spl0_127
    | ~ spl0_229 ),
    inference(contradiction_clause,[status(thm)],[f5804]) ).

fof(f5807,plain,
    ( e23 = h4(e11)
    | ~ spl0_229
    | ~ spl0_127 ),
    inference(forward_demodulation,[status(thm)],[f297,f5720]) ).

fof(f5811,plain,
    ( e23 != op2(e23,e23)
    | ~ spl0_127
    | ~ spl0_229
    | ~ spl0_8
    | ~ spl0_226
    | spl0_209 ),
    inference(backward_demodulation,[status(thm)],[f5807,f5784]) ).

fof(f5812,plain,
    ( ~ spl0_127
    | ~ spl0_229
    | ~ spl0_8
    | ~ spl0_226
    | spl0_209 ),
    inference(split_clause,[status(thm)],[f5811,f1512,f1894,f1094,f1882,f1831]) ).

fof(f5824,plain,
    ( h4(e12) = e23
    | ~ spl0_127
    | ~ spl0_229 ),
    inference(backward_demodulation,[status(thm)],[f5807,f4346]) ).

fof(f5829,plain,
    ( h4(op1(e11,e10)) != op2(e23,e23)
    | ~ spl0_229
    | ~ spl0_127
    | ~ spl0_226
    | spl0_211 ),
    inference(forward_demodulation,[status(thm)],[f5807,f3729]) ).

fof(f5830,plain,
    ( h4(op1(e11,e10)) != e23
    | ~ spl0_227
    | ~ spl0_229
    | ~ spl0_127
    | ~ spl0_226
    | spl0_211 ),
    inference(forward_demodulation,[status(thm)],[f5441,f5829]) ).

fof(f5832,plain,
    ( h4(e12) != e23
    | ~ spl0_227
    | ~ spl0_127
    | ~ spl0_22
    | spl0_212 ),
    inference(forward_demodulation,[status(thm)],[f5441,f5424]) ).

fof(f5834,plain,
    ( h4(op1(e13,e11)) != op2(e23,e23)
    | ~ spl0_127
    | ~ spl0_229
    | spl0_220 ),
    inference(forward_demodulation,[status(thm)],[f5807,f4344]) ).

fof(f5835,plain,
    ( h4(op1(e13,e11)) != e23
    | ~ spl0_227
    | ~ spl0_127
    | ~ spl0_229
    | spl0_220 ),
    inference(forward_demodulation,[status(thm)],[f5441,f5834]) ).

fof(f5860,plain,
    ( h3(e12) != e22
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_22
    | ~ spl0_271
    | spl0_189 ),
    inference(forward_demodulation,[status(thm)],[f5256,f5268]) ).

fof(f5874,plain,
    ( h3(e13) = e20
    | ~ spl0_271
    | ~ spl0_100 ),
    inference(forward_demodulation,[status(thm)],[f3433,f1426]) ).

fof(f5875,plain,
    ( $false
    | spl0_269
    | ~ spl0_271
    | ~ spl0_100 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5874,f2072]) ).

fof(f5876,plain,
    ( spl0_269
    | ~ spl0_271
    | ~ spl0_100 ),
    inference(contradiction_clause,[status(thm)],[f5875]) ).

fof(f5877,plain,
    ( h2(e13) = e23
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_162
    | ~ spl0_91 ),
    inference(forward_demodulation,[status(thm)],[f4935,f1396]) ).

fof(f5877_003,plain,
    ( h2(e13) = e23
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_162
    | ~ spl0_91 ),
    inference(forward_demodulation,[status(thm)],[f4935,f1396]) ).

fof(f5891,plain,
    ( e23 = op2(e21,e22)
    | ~ spl0_91
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_162 ),
    inference(backward_demodulation,[status(thm)],[f5877,f4935]) ).

fof(f5895,plain,
    ( e21 != op2(e22,e23)
    | ~ spl0_93 ),
    inference(backward_demodulation,[status(thm)],[f1403,f185]) ).

fof(f5908,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1199,f5780]) ).

fof(f5909,plain,
    ( ~ spl0_8
    | ~ spl0_40 ),
    inference(contradiction_clause,[status(thm)],[f5908]) ).

fof(f5915,plain,
    ( h4(e10) != e23
    | ~ spl0_16
    | ~ spl0_227
    | ~ spl0_229
    | ~ spl0_127
    | ~ spl0_226
    | spl0_211 ),
    inference(backward_demodulation,[status(thm)],[f1121,f5830]) ).

fof(f5916,plain,
    ( ~ spl0_226
    | ~ spl0_16
    | ~ spl0_227
    | ~ spl0_229
    | ~ spl0_127
    | spl0_211 ),
    inference(split_clause,[status(thm)],[f5915,f1882,f1120,f1886,f1894,f1512,f1837]) ).

fof(f5932,plain,
    ( op2(e20,e20) = e20
    | ~ spl0_80
    | ~ spl0_398 ),
    inference(forward_demodulation,[status(thm)],[f1361,f2753]) ).

fof(f5933,plain,
    ( e21 = e20
    | ~ spl0_80
    | ~ spl0_398 ),
    inference(forward_demodulation,[status(thm)],[f281,f5932]) ).

fof(f5934,plain,
    ( $false
    | ~ spl0_80
    | ~ spl0_398 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5933,f218]) ).

fof(f5935,plain,
    ( ~ spl0_80
    | ~ spl0_398 ),
    inference(contradiction_clause,[status(thm)],[f5934]) ).

fof(f5940,plain,
    ( op2(e21,e22) != e21
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_161
    | spl0_386 ),
    inference(forward_demodulation,[status(thm)],[f5256,f2690]) ).

fof(f5941,plain,
    ( op2(e23,e21) = e23
    | ~ spl0_93
    | ~ spl0_366 ),
    inference(forward_demodulation,[status(thm)],[f1403,f2573]) ).

fof(f5942,plain,
    ( e21 = e23
    | ~ spl0_117
    | ~ spl0_93
    | ~ spl0_366 ),
    inference(forward_demodulation,[status(thm)],[f1481,f5941]) ).

fof(f5943,plain,
    ( $false
    | ~ spl0_117
    | ~ spl0_93
    | ~ spl0_366 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5942,f222]) ).

fof(f5944,plain,
    ( ~ spl0_117
    | ~ spl0_93
    | ~ spl0_366 ),
    inference(contradiction_clause,[status(thm)],[f5943]) ).

fof(f5947,plain,
    ( op2(e21,e22) = h3(e13)
    | ~ spl0_271
    | ~ spl0_342 ),
    inference(forward_demodulation,[status(thm)],[f3433,f2443]) ).

fof(f5967,plain,
    ( op1(e11,e12) != e11
    | ~ spl0_37
    | spl0_336 ),
    inference(backward_demodulation,[status(thm)],[f1189,f2412]) ).

fof(f5968,plain,
    ( ~ spl0_25
    | ~ spl0_37
    | spl0_336 ),
    inference(split_clause,[status(thm)],[f5967,f1149,f1188,f2410]) ).

fof(f5996,plain,
    ( h4(e10) != e23
    | ~ spl0_52
    | ~ spl0_227
    | ~ spl0_127
    | ~ spl0_229
    | spl0_220 ),
    inference(backward_demodulation,[status(thm)],[f1238,f5835]) ).

fof(f5997,plain,
    ( ~ spl0_226
    | ~ spl0_52
    | ~ spl0_227
    | ~ spl0_127
    | ~ spl0_229
    | spl0_220 ),
    inference(split_clause,[status(thm)],[f5996,f1882,f1237,f1886,f1512,f1894,f1864]) ).

fof(f6005,plain,
    ( op1(e13,e11) = e13
    | ~ spl0_61
    | ~ spl0_131 ),
    inference(backward_demodulation,[status(thm)],[f1267,f1566]) ).

fof(f6006,plain,
    ( spl0_55
    | ~ spl0_61
    | ~ spl0_131 ),
    inference(split_clause,[status(thm)],[f6005,f1246,f1266,f1565]) ).

fof(f6033,plain,
    ( $false
    | ~ spl0_227
    | ~ spl0_22
    | spl0_212
    | ~ spl0_127
    | ~ spl0_229 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5824,f5832]) ).

fof(f6034,plain,
    ( ~ spl0_227
    | ~ spl0_22
    | spl0_212
    | ~ spl0_127
    | ~ spl0_229 ),
    inference(contradiction_clause,[status(thm)],[f6033]) ).

fof(f6044,plain,
    ( h3(e12) = op2(e20,e22)
    | ~ spl0_271
    | ~ spl0_100
    | ~ spl0_274
    | ~ spl0_196 ),
    inference(backward_demodulation,[status(thm)],[f5874,f4789]) ).

fof(f6045,plain,
    ( h3(e12) = e22
    | ~ spl0_74
    | ~ spl0_271
    | ~ spl0_100
    | ~ spl0_274
    | ~ spl0_196 ),
    inference(forward_demodulation,[status(thm)],[f1341,f6044]) ).

fof(f6046,plain,
    ( $false
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_22
    | spl0_189
    | ~ spl0_74
    | ~ spl0_271
    | ~ spl0_100
    | ~ spl0_274
    | ~ spl0_196 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6045,f5860]) ).

fof(f6047,plain,
    ( ~ spl0_86
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_22
    | spl0_189
    | ~ spl0_74
    | ~ spl0_271
    | ~ spl0_100
    | ~ spl0_274
    | ~ spl0_196 ),
    inference(contradiction_clause,[status(thm)],[f6046]) ).

fof(f6056,plain,
    ( e23 = h3(e13)
    | ~ spl0_91
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_162
    | ~ spl0_271
    | ~ spl0_342 ),
    inference(forward_demodulation,[status(thm)],[f5891,f5947]) ).

fof(f6057,plain,
    ( e23 = e20
    | ~ spl0_100
    | ~ spl0_91
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_162
    | ~ spl0_271
    | ~ spl0_342 ),
    inference(forward_demodulation,[status(thm)],[f5874,f6056]) ).

fof(f6058,plain,
    ( $false
    | ~ spl0_100
    | ~ spl0_91
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_162
    | ~ spl0_271
    | ~ spl0_342 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6057,f220]) ).

fof(f6059,plain,
    ( ~ spl0_100
    | ~ spl0_91
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_162
    | ~ spl0_271
    | ~ spl0_342 ),
    inference(contradiction_clause,[status(thm)],[f6058]) ).

fof(f6115,plain,
    ( h4(e11) != h4(e11)
    | ~ spl0_61
    | ~ spl0_229
    | spl0_222 ),
    inference(forward_demodulation,[status(thm)],[f1267,f4342]) ).

fof(f6116,plain,
    ( $false
    | ~ spl0_61
    | ~ spl0_229
    | spl0_222 ),
    inference(trivial_equality_resolution,[status(esa)],[f6115]) ).

fof(f6117,plain,
    ( ~ spl0_61
    | ~ spl0_229
    | spl0_222 ),
    inference(contradiction_clause,[status(thm)],[f6116]) ).

fof(f6118,plain,
    ( e21 = op2(e22,e21)
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_16
    | ~ spl0_165 ),
    inference(forward_demodulation,[status(thm)],[f5247,f5488]) ).

fof(f6125,plain,
    ( h2(e10) != op2(h2(e12),h2(e13))
    | ~ spl0_44
    | spl0_172 ),
    inference(forward_demodulation,[status(thm)],[f1212,f1714]) ).

fof(f6126,plain,
    ( e21 != op2(h2(e12),h2(e13))
    | ~ spl0_258
    | ~ spl0_44
    | spl0_172 ),
    inference(forward_demodulation,[status(thm)],[f2027,f6125]) ).

fof(f6145,plain,
    ( e21 = op2(e21,e22)
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_261 ),
    inference(forward_demodulation,[status(thm)],[f5247,f5490]) ).

fof(f6146,plain,
    ( h2(e12) = e22
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_261 ),
    inference(forward_demodulation,[status(thm)],[f5256,f5492]) ).

fof(f6147,plain,
    ( $false
    | spl0_264
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_261 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6146,f2052]) ).

fof(f6148,plain,
    ( spl0_264
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_261 ),
    inference(contradiction_clause,[status(thm)],[f6147]) ).

fof(f6161,plain,
    ( h1(e11) != h4(e11)
    | ~ spl0_61
    | spl0_153 ),
    inference(forward_demodulation,[status(thm)],[f1267,f4151]) ).

fof(f6162,plain,
    ( e21 != h4(e11)
    | ~ spl0_247
    | ~ spl0_61
    | spl0_153 ),
    inference(forward_demodulation,[status(thm)],[f1983,f6161]) ).

fof(f6176,plain,
    ( h2(e12) != op2(e22,e22)
    | ~ spl0_22
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | spl0_166 ),
    inference(forward_demodulation,[status(thm)],[f1140,f5797]) ).

fof(f6187,plain,
    ( ~ spl0_89
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_161
    | spl0_386 ),
    inference(split_clause,[status(thm)],[f5940,f1389,f1379,f2026,f1679,f2688]) ).

fof(f6196,plain,
    ( h2(e11) != op2(e21,e21)
    | ~ spl0_61
    | ~ spl0_261
    | spl0_176 ),
    inference(forward_demodulation,[status(thm)],[f1267,f5496]) ).

fof(f6197,plain,
    ( e22 != op2(e21,e21)
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_61
    | ~ spl0_261
    | spl0_176 ),
    inference(forward_demodulation,[status(thm)],[f5247,f6196]) ).

fof(f6198,plain,
    ( e22 != e22
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_61
    | ~ spl0_261
    | spl0_176 ),
    inference(forward_demodulation,[status(thm)],[f5256,f6197]) ).

fof(f6199,plain,
    ( $false
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_61
    | ~ spl0_261
    | spl0_176 ),
    inference(trivial_equality_resolution,[status(esa)],[f6198]) ).

fof(f6200,plain,
    ( ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_61
    | ~ spl0_261
    | spl0_176 ),
    inference(contradiction_clause,[status(thm)],[f6199]) ).

fof(f6217,plain,
    ( h2(e10) != op2(h2(e13),e22)
    | ~ spl0_52
    | ~ spl0_86
    | spl0_174 ),
    inference(forward_demodulation,[status(thm)],[f1238,f4797]) ).

fof(f6218,plain,
    ( e21 != op2(h2(e13),e22)
    | ~ spl0_258
    | ~ spl0_52
    | ~ spl0_86
    | spl0_174 ),
    inference(forward_demodulation,[status(thm)],[f2027,f6217]) ).

fof(f6221,plain,
    ( h3(e13) = e22
    | ~ spl0_275 ),
    inference(forward_demodulation,[status(thm)],[f2095,f4813]) ).

fof(f6224,plain,
    ( h2(e11) != op2(h2(e12),e22)
    | ~ spl0_37
    | ~ spl0_86
    | spl0_170 ),
    inference(forward_demodulation,[status(thm)],[f1189,f4802]) ).

fof(f6225,plain,
    ( e22 != op2(h2(e12),e22)
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_37
    | ~ spl0_86
    | spl0_170 ),
    inference(forward_demodulation,[status(thm)],[f5247,f6224]) ).

fof(f6228,plain,
    ( e21 = h2(e13)
    | ~ spl0_261
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_162 ),
    inference(forward_demodulation,[status(thm)],[f4935,f5009]) ).

fof(f6231,plain,
    ( e21 != op2(e21,e22)
    | ~ spl0_261
    | ~ spl0_162
    | ~ spl0_258
    | ~ spl0_52
    | ~ spl0_86
    | spl0_174 ),
    inference(backward_demodulation,[status(thm)],[f6228,f6218]) ).

fof(f6232,plain,
    ( ~ spl0_89
    | ~ spl0_261
    | ~ spl0_162
    | ~ spl0_258
    | ~ spl0_52
    | ~ spl0_86
    | spl0_174 ),
    inference(split_clause,[status(thm)],[f6231,f1389,f2038,f1682,f2026,f1237,f1379,f1718]) ).

fof(f6239,plain,
    ( e22 != op2(e22,e22)
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_37
    | ~ spl0_86
    | spl0_170 ),
    inference(backward_demodulation,[status(thm)],[f6146,f6225]) ).

fof(f6240,plain,
    ( ~ spl0_106
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_37
    | ~ spl0_86
    | spl0_170 ),
    inference(split_clause,[status(thm)],[f6239,f1444,f2038,f2026,f1679,f1188,f1379,f1706]) ).

fof(f6241,plain,
    ( e22 != op2(e22,e22)
    | ~ spl0_261
    | ~ spl0_22
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | spl0_166 ),
    inference(backward_demodulation,[status(thm)],[f6146,f6176]) ).

fof(f6242,plain,
    ( ~ spl0_106
    | ~ spl0_261
    | ~ spl0_22
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | spl0_166 ),
    inference(split_clause,[status(thm)],[f6241,f1444,f2038,f1139,f2026,f1679,f1379,f1694]) ).

fof(f6243,plain,
    ( e21 != op2(e21,e22)
    | ~ spl0_86
    | ~ spl0_161
    | ~ spl0_261
    | ~ spl0_8
    | ~ spl0_258
    | spl0_163 ),
    inference(backward_demodulation,[status(thm)],[f6146,f5790]) ).

fof(f6244,plain,
    ( ~ spl0_89
    | ~ spl0_86
    | ~ spl0_161
    | ~ spl0_261
    | ~ spl0_8
    | ~ spl0_258
    | spl0_163 ),
    inference(split_clause,[status(thm)],[f6243,f1389,f1379,f1679,f2038,f1094,f2026,f1685]) ).

fof(f6248,plain,
    ( h2(e11) = op2(h2(e12),h2(e11))
    | ~ spl0_37
    | ~ spl0_170 ),
    inference(forward_demodulation,[status(thm)],[f1189,f1707]) ).

fof(f6249,plain,
    ( e22 = op2(h2(e12),h2(e11))
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170 ),
    inference(forward_demodulation,[status(thm)],[f5247,f6248]) ).

fof(f6250,plain,
    ( e22 = op2(e22,h2(e11))
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170 ),
    inference(forward_demodulation,[status(thm)],[f6146,f6249]) ).

fof(f6251,plain,
    ( e22 = op2(e22,e22)
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170 ),
    inference(forward_demodulation,[status(thm)],[f5247,f6250]) ).

fof(f6260,plain,
    ( h3(e13) != op2(h3(e12),e22)
    | ~ spl0_35
    | ~ spl0_274
    | spl0_192 ),
    inference(forward_demodulation,[status(thm)],[f1182,f3684]) ).

fof(f6261,plain,
    ( e22 != op2(h3(e12),e22)
    | ~ spl0_275
    | ~ spl0_35
    | ~ spl0_274
    | spl0_192 ),
    inference(forward_demodulation,[status(thm)],[f6221,f6260]) ).

fof(f6265,plain,
    ( h3(e12) != op2(e22,e22)
    | ~ spl0_275
    | ~ spl0_14
    | ~ spl0_274
    | spl0_187 ),
    inference(forward_demodulation,[status(thm)],[f6221,f4497]) ).

fof(f6266,plain,
    ( h3(e12) != e22
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_275
    | ~ spl0_14
    | ~ spl0_274
    | spl0_187 ),
    inference(forward_demodulation,[status(thm)],[f6251,f6265]) ).

fof(f6280,plain,
    ( e22 != e22
    | ~ spl0_275
    | spl0_277 ),
    inference(forward_demodulation,[status(thm)],[f6221,f2104]) ).

fof(f6281,plain,
    ( $false
    | ~ spl0_275
    | spl0_277 ),
    inference(trivial_equality_resolution,[status(esa)],[f6280]) ).

fof(f6282,plain,
    ( ~ spl0_275
    | spl0_277 ),
    inference(contradiction_clause,[status(thm)],[f6281]) ).

fof(f6283,plain,
    ( h3(e11) != h3(e11)
    | ~ spl0_61
    | ~ spl0_277
    | spl0_199 ),
    inference(forward_demodulation,[status(thm)],[f1267,f4373]) ).

fof(f6284,plain,
    ( e22 != h3(e11)
    | ~ spl0_275
    | ~ spl0_61
    | ~ spl0_277
    | spl0_199 ),
    inference(forward_demodulation,[status(thm)],[f2095,f6283]) ).

fof(f6285,plain,
    ( e22 != e22
    | ~ spl0_275
    | ~ spl0_61
    | ~ spl0_277
    | spl0_199 ),
    inference(forward_demodulation,[status(thm)],[f2095,f6284]) ).

fof(f6286,plain,
    ( $false
    | ~ spl0_275
    | ~ spl0_61
    | ~ spl0_277
    | spl0_199 ),
    inference(trivial_equality_resolution,[status(esa)],[f6285]) ).

fof(f6287,plain,
    ( ~ spl0_275
    | ~ spl0_61
    | ~ spl0_277
    | spl0_199 ),
    inference(contradiction_clause,[status(thm)],[f6286]) ).

fof(f6288,plain,
    ( h3(e12) = e22
    | ~ spl0_275
    | ~ spl0_277 ),
    inference(forward_demodulation,[status(thm)],[f2095,f4323]) ).

fof(f6289,plain,
    ( $false
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_14
    | ~ spl0_274
    | spl0_187
    | ~ spl0_275
    | ~ spl0_277 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6288,f6266]) ).

fof(f6290,plain,
    ( ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_14
    | ~ spl0_274
    | spl0_187
    | ~ spl0_275
    | ~ spl0_277 ),
    inference(contradiction_clause,[status(thm)],[f6289]) ).

fof(f6292,plain,
    ( h3(e13) != op2(e22,h3(e11))
    | ~ spl0_59
    | ~ spl0_277
    | spl0_198 ),
    inference(forward_demodulation,[status(thm)],[f1260,f4324]) ).

fof(f6293,plain,
    ( e22 != op2(e22,h3(e11))
    | ~ spl0_275
    | ~ spl0_59
    | ~ spl0_277
    | spl0_198 ),
    inference(forward_demodulation,[status(thm)],[f6221,f6292]) ).

fof(f6294,plain,
    ( e22 != op2(e22,e22)
    | ~ spl0_275
    | ~ spl0_59
    | ~ spl0_277
    | spl0_198 ),
    inference(forward_demodulation,[status(thm)],[f2095,f6293]) ).

fof(f6295,plain,
    ( e22 != e22
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_275
    | ~ spl0_59
    | ~ spl0_277
    | spl0_198 ),
    inference(forward_demodulation,[status(thm)],[f6251,f6294]) ).

fof(f6296,plain,
    ( $false
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_275
    | ~ spl0_59
    | ~ spl0_277
    | spl0_198 ),
    inference(trivial_equality_resolution,[status(esa)],[f6295]) ).

fof(f6297,plain,
    ( ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_275
    | ~ spl0_59
    | ~ spl0_277
    | spl0_198 ),
    inference(contradiction_clause,[status(thm)],[f6296]) ).

fof(f6298,plain,
    ( h3(e10) != op2(e22,h3(e11))
    | ~ spl0_52
    | ~ spl0_277
    | spl0_197 ),
    inference(forward_demodulation,[status(thm)],[f1238,f3951]) ).

fof(f6299,plain,
    ( e22 != op2(e22,h3(e11))
    | ~ spl0_274
    | ~ spl0_52
    | ~ spl0_277
    | spl0_197 ),
    inference(forward_demodulation,[status(thm)],[f2091,f6298]) ).

fof(f6300,plain,
    ( e22 != op2(e22,e22)
    | ~ spl0_275
    | ~ spl0_274
    | ~ spl0_52
    | ~ spl0_277
    | spl0_197 ),
    inference(forward_demodulation,[status(thm)],[f2095,f6299]) ).

fof(f6301,plain,
    ( e22 != e22
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_275
    | ~ spl0_274
    | ~ spl0_52
    | ~ spl0_277
    | spl0_197 ),
    inference(forward_demodulation,[status(thm)],[f6251,f6300]) ).

fof(f6302,plain,
    ( $false
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_275
    | ~ spl0_274
    | ~ spl0_52
    | ~ spl0_277
    | spl0_197 ),
    inference(trivial_equality_resolution,[status(esa)],[f6301]) ).

fof(f6303,plain,
    ( ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_275
    | ~ spl0_274
    | ~ spl0_52
    | ~ spl0_277
    | spl0_197 ),
    inference(contradiction_clause,[status(thm)],[f6302]) ).

fof(f6304,plain,
    ( h3(e13) != op2(h3(e11),e22)
    | ~ spl0_31
    | ~ spl0_277
    | spl0_191 ),
    inference(forward_demodulation,[status(thm)],[f1169,f4099]) ).

fof(f6305,plain,
    ( e22 != op2(h3(e11),e22)
    | ~ spl0_275
    | ~ spl0_31
    | ~ spl0_277
    | spl0_191 ),
    inference(forward_demodulation,[status(thm)],[f6221,f6304]) ).

fof(f6306,plain,
    ( e22 != op2(e22,e22)
    | ~ spl0_275
    | ~ spl0_31
    | ~ spl0_277
    | spl0_191 ),
    inference(forward_demodulation,[status(thm)],[f2095,f6305]) ).

fof(f6307,plain,
    ( e22 != e22
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_275
    | ~ spl0_31
    | ~ spl0_277
    | spl0_191 ),
    inference(forward_demodulation,[status(thm)],[f6251,f6306]) ).

fof(f6308,plain,
    ( $false
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_275
    | ~ spl0_31
    | ~ spl0_277
    | spl0_191 ),
    inference(trivial_equality_resolution,[status(esa)],[f6307]) ).

fof(f6309,plain,
    ( ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_275
    | ~ spl0_31
    | ~ spl0_277
    | spl0_191 ),
    inference(contradiction_clause,[status(thm)],[f6308]) ).

fof(f6310,plain,
    ( h3(e10) != op2(h3(e12),e22)
    | ~ spl0_44
    | ~ spl0_277
    | spl0_195 ),
    inference(forward_demodulation,[status(thm)],[f1212,f3890]) ).

fof(f6319,plain,
    ( h3(e13) = op2(h3(e13),h3(e12))
    | ~ spl0_59
    | ~ spl0_198 ),
    inference(forward_demodulation,[status(thm)],[f1260,f1795]) ).

fof(f6320,plain,
    ( e22 = op2(h3(e13),h3(e12))
    | ~ spl0_275
    | ~ spl0_59
    | ~ spl0_198 ),
    inference(forward_demodulation,[status(thm)],[f6221,f6319]) ).

fof(f6321,plain,
    ( e22 = op2(e22,h3(e12))
    | ~ spl0_275
    | ~ spl0_59
    | ~ spl0_198 ),
    inference(forward_demodulation,[status(thm)],[f6221,f6320]) ).

fof(f6322,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_274
    | spl0_186
    | ~ spl0_275
    | ~ spl0_59
    | ~ spl0_198 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6321,f5788]) ).

fof(f6323,plain,
    ( ~ spl0_8
    | ~ spl0_274
    | spl0_186
    | ~ spl0_275
    | ~ spl0_59
    | ~ spl0_198 ),
    inference(contradiction_clause,[status(thm)],[f6322]) ).

fof(f6335,plain,
    ( e22 != op2(e22,e22)
    | ~ spl0_276
    | ~ spl0_275
    | ~ spl0_35
    | ~ spl0_274
    | spl0_192 ),
    inference(backward_demodulation,[status(thm)],[f2099,f6261]) ).

fof(f6336,plain,
    ( ~ spl0_106
    | ~ spl0_276
    | ~ spl0_275
    | ~ spl0_35
    | ~ spl0_274
    | spl0_192 ),
    inference(split_clause,[status(thm)],[f6335,f1444,f2098,f2094,f1181,f2090,f1776]) ).

fof(f6338,plain,
    ( e22 != op2(h3(e12),e22)
    | ~ spl0_274
    | ~ spl0_44
    | ~ spl0_277
    | spl0_195 ),
    inference(forward_demodulation,[status(thm)],[f2091,f6310]) ).

fof(f6339,plain,
    ( e22 != op2(e22,e22)
    | ~ spl0_276
    | ~ spl0_274
    | ~ spl0_44
    | ~ spl0_277
    | spl0_195 ),
    inference(forward_demodulation,[status(thm)],[f2099,f6338]) ).

fof(f6340,plain,
    ( e22 != e22
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_276
    | ~ spl0_274
    | ~ spl0_44
    | ~ spl0_277
    | spl0_195 ),
    inference(forward_demodulation,[status(thm)],[f6251,f6339]) ).

fof(f6341,plain,
    ( $false
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_276
    | ~ spl0_274
    | ~ spl0_44
    | ~ spl0_277
    | spl0_195 ),
    inference(trivial_equality_resolution,[status(esa)],[f6340]) ).

fof(f6342,plain,
    ( ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_276
    | ~ spl0_274
    | ~ spl0_44
    | ~ spl0_277
    | spl0_195 ),
    inference(contradiction_clause,[status(thm)],[f6341]) ).

fof(f6353,plain,
    ( h1(e12) != h3(e11)
    | ~ spl0_42
    | spl0_148 ),
    inference(forward_demodulation,[status(thm)],[f1205,f4227]) ).

fof(f6354,plain,
    ( e22 != h3(e11)
    | ~ spl0_42
    | spl0_148 ),
    inference(forward_demodulation,[status(thm)],[f4154,f6353]) ).

fof(f6355,plain,
    ( e22 != e22
    | ~ spl0_275
    | ~ spl0_42
    | spl0_148 ),
    inference(forward_demodulation,[status(thm)],[f2095,f6354]) ).

fof(f6356,plain,
    ( $false
    | ~ spl0_275
    | ~ spl0_42
    | spl0_148 ),
    inference(trivial_equality_resolution,[status(esa)],[f6355]) ).

fof(f6357,plain,
    ( ~ spl0_275
    | ~ spl0_42
    | spl0_148 ),
    inference(contradiction_clause,[status(thm)],[f6356]) ).

fof(f6362,plain,
    ( h1(e11) != op2(e22,e21)
    | ~ spl0_37
    | ~ spl0_247
    | spl0_147 ),
    inference(forward_demodulation,[status(thm)],[f1189,f4313]) ).

fof(f6363,plain,
    ( e21 != op2(e22,e21)
    | ~ spl0_37
    | ~ spl0_247
    | spl0_147 ),
    inference(forward_demodulation,[status(thm)],[f1983,f6362]) ).

fof(f6364,plain,
    ( e21 != e21
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_16
    | ~ spl0_165
    | ~ spl0_37
    | ~ spl0_247
    | spl0_147 ),
    inference(forward_demodulation,[status(thm)],[f6118,f6363]) ).

fof(f6365,plain,
    ( $false
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_16
    | ~ spl0_165
    | ~ spl0_37
    | ~ spl0_247
    | spl0_147 ),
    inference(trivial_equality_resolution,[status(esa)],[f6364]) ).

fof(f6366,plain,
    ( ~ spl0_161
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_16
    | ~ spl0_165
    | ~ spl0_37
    | ~ spl0_247
    | spl0_147 ),
    inference(contradiction_clause,[status(thm)],[f6365]) ).

fof(f6367,plain,
    ( h1(e11) = op2(h1(e12),h1(e11))
    | ~ spl0_37
    | ~ spl0_147 ),
    inference(forward_demodulation,[status(thm)],[f1189,f1634]) ).

fof(f6368,plain,
    ( e21 = op2(h1(e12),h1(e11))
    | ~ spl0_247
    | ~ spl0_37
    | ~ spl0_147 ),
    inference(forward_demodulation,[status(thm)],[f1983,f6367]) ).

fof(f6369,plain,
    ( e21 = op2(e22,h1(e11))
    | ~ spl0_247
    | ~ spl0_37
    | ~ spl0_147 ),
    inference(forward_demodulation,[status(thm)],[f4154,f6368]) ).

fof(f6370,plain,
    ( e21 = op2(e22,e21)
    | ~ spl0_247
    | ~ spl0_37
    | ~ spl0_147 ),
    inference(forward_demodulation,[status(thm)],[f1983,f6369]) ).

fof(f6371,plain,
    ( h1(e11) != op2(e21,e22)
    | ~ spl0_25
    | ~ spl0_252
    | ~ spl0_247
    | spl0_144 ),
    inference(forward_demodulation,[status(thm)],[f1150,f3483]) ).

fof(f6372,plain,
    ( e21 != op2(e21,e22)
    | ~ spl0_25
    | ~ spl0_252
    | ~ spl0_247
    | spl0_144 ),
    inference(forward_demodulation,[status(thm)],[f1983,f6371]) ).

fof(f6373,plain,
    ( e21 != e21
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_261
    | ~ spl0_25
    | ~ spl0_252
    | ~ spl0_247
    | spl0_144 ),
    inference(forward_demodulation,[status(thm)],[f6145,f6372]) ).

fof(f6374,plain,
    ( $false
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_261
    | ~ spl0_25
    | ~ spl0_252
    | ~ spl0_247
    | spl0_144 ),
    inference(trivial_equality_resolution,[status(esa)],[f6373]) ).

fof(f6375,plain,
    ( ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_261
    | ~ spl0_25
    | ~ spl0_252
    | ~ spl0_247
    | spl0_144 ),
    inference(contradiction_clause,[status(thm)],[f6374]) ).

fof(f6380,plain,
    ( h1(e10) != op2(e22,e23)
    | ~ spl0_44
    | spl0_149 ),
    inference(forward_demodulation,[status(thm)],[f1212,f4224]) ).

fof(f6381,plain,
    ( e20 != op2(e22,e23)
    | ~ spl0_242
    | ~ spl0_44
    | spl0_149 ),
    inference(forward_demodulation,[status(thm)],[f1963,f6380]) ).

fof(f6382,plain,
    ( h3(e10) != op2(h3(e11),e22)
    | ~ spl0_16
    | ~ spl0_274
    | spl0_188 ),
    inference(forward_demodulation,[status(thm)],[f1121,f3709]) ).

fof(f6383,plain,
    ( e22 != op2(h3(e11),e22)
    | ~ spl0_16
    | ~ spl0_274
    | spl0_188 ),
    inference(forward_demodulation,[status(thm)],[f2091,f6382]) ).

fof(f6384,plain,
    ( e22 != op2(e22,e22)
    | ~ spl0_275
    | ~ spl0_16
    | ~ spl0_274
    | spl0_188 ),
    inference(forward_demodulation,[status(thm)],[f2095,f6383]) ).

fof(f6385,plain,
    ( e22 != e22
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_275
    | ~ spl0_16
    | ~ spl0_274
    | spl0_188 ),
    inference(forward_demodulation,[status(thm)],[f6251,f6384]) ).

fof(f6386,plain,
    ( $false
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_275
    | ~ spl0_16
    | ~ spl0_274
    | spl0_188 ),
    inference(trivial_equality_resolution,[status(esa)],[f6385]) ).

fof(f6387,plain,
    ( ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_275
    | ~ spl0_16
    | ~ spl0_274
    | spl0_188 ),
    inference(contradiction_clause,[status(thm)],[f6386]) ).

fof(f6400,plain,
    ( h1(e13) != op2(e21,e23)
    | ~ spl0_31
    | ~ spl0_247
    | spl0_145 ),
    inference(forward_demodulation,[status(thm)],[f1169,f3949]) ).

fof(f6405,plain,
    ( h1(e12) != op2(e20,e23)
    | ~ spl0_14
    | ~ spl0_242
    | spl0_141 ),
    inference(forward_demodulation,[status(thm)],[f1114,f3886]) ).

fof(f6406,plain,
    ( e22 != op2(e20,e23)
    | ~ spl0_14
    | ~ spl0_242
    | spl0_141 ),
    inference(forward_demodulation,[status(thm)],[f4154,f6405]) ).

fof(f6407,plain,
    ( h1(e10) != op2(e20,e22)
    | ~ spl0_8
    | ~ spl0_242
    | spl0_140 ),
    inference(forward_demodulation,[status(thm)],[f1095,f4231]) ).

fof(f6408,plain,
    ( e20 != op2(e20,e22)
    | ~ spl0_8
    | ~ spl0_242
    | spl0_140 ),
    inference(forward_demodulation,[status(thm)],[f1963,f6407]) ).

fof(f6418,plain,
    ( $false
    | ~ spl0_14
    | ~ spl0_242
    | spl0_141
    | ~ spl0_78 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1354,f6406]) ).

fof(f6419,plain,
    ( ~ spl0_14
    | ~ spl0_242
    | spl0_141
    | ~ spl0_78 ),
    inference(contradiction_clause,[status(thm)],[f6418]) ).

fof(f6428,plain,
    ( e23 != op2(e21,e23)
    | ~ spl0_31
    | ~ spl0_247
    | spl0_145 ),
    inference(forward_demodulation,[status(thm)],[f3027,f6400]) ).

fof(f6429,plain,
    ( ~ spl0_95
    | ~ spl0_31
    | ~ spl0_247
    | spl0_145 ),
    inference(split_clause,[status(thm)],[f6428,f1408,f1168,f1982,f1627]) ).

fof(f6459,plain,
    ( $false
    | ~ spl0_242
    | ~ spl0_44
    | spl0_149
    | ~ spl0_108 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1452,f6381]) ).

fof(f6460,plain,
    ( ~ spl0_242
    | ~ spl0_44
    | spl0_149
    | ~ spl0_108 ),
    inference(contradiction_clause,[status(thm)],[f6459]) ).

fof(f6465,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_242
    | spl0_140
    | ~ spl0_72 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1335,f6408]) ).

fof(f6466,plain,
    ( ~ spl0_8
    | ~ spl0_242
    | spl0_140
    | ~ spl0_72 ),
    inference(contradiction_clause,[status(thm)],[f6465]) ).

fof(f6500,plain,
    ( e23 = op2(e23,h4(e11))
    | ~ spl0_229 ),
    inference(forward_demodulation,[status(thm)],[f1895,f3068]) ).

fof(f6501,plain,
    ( e23 = op2(e23,e21)
    | ~ spl0_125
    | ~ spl0_229 ),
    inference(forward_demodulation,[status(thm)],[f3146,f6500]) ).

fof(f6502,plain,
    ( e23 = e20
    | ~ spl0_116
    | ~ spl0_125
    | ~ spl0_229 ),
    inference(forward_demodulation,[status(thm)],[f1478,f6501]) ).

fof(f6503,plain,
    ( $false
    | ~ spl0_116
    | ~ spl0_125
    | ~ spl0_229 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6502,f220]) ).

fof(f6504,plain,
    ( ~ spl0_116
    | ~ spl0_125
    | ~ spl0_229 ),
    inference(contradiction_clause,[status(thm)],[f6503]) ).

fof(f6594,plain,
    ( e21 != op2(h2(e12),e21)
    | ~ spl0_261
    | ~ spl0_86
    | ~ spl0_162
    | ~ spl0_35
    | ~ spl0_258
    | spl0_169 ),
    inference(forward_demodulation,[status(thm)],[f6228,f4603]) ).

fof(f6595,plain,
    ( e21 != op2(e22,e21)
    | ~ spl0_161
    | ~ spl0_261
    | ~ spl0_86
    | ~ spl0_162
    | ~ spl0_35
    | ~ spl0_258
    | spl0_169 ),
    inference(forward_demodulation,[status(thm)],[f6146,f6594]) ).

fof(f6596,plain,
    ( e21 != e21
    | ~ spl0_16
    | ~ spl0_165
    | ~ spl0_161
    | ~ spl0_261
    | ~ spl0_86
    | ~ spl0_162
    | ~ spl0_35
    | ~ spl0_258
    | spl0_169 ),
    inference(forward_demodulation,[status(thm)],[f6118,f6595]) ).

fof(f6597,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_165
    | ~ spl0_161
    | ~ spl0_261
    | ~ spl0_86
    | ~ spl0_162
    | ~ spl0_35
    | ~ spl0_258
    | spl0_169 ),
    inference(trivial_equality_resolution,[status(esa)],[f6596]) ).

fof(f6598,plain,
    ( ~ spl0_16
    | ~ spl0_165
    | ~ spl0_161
    | ~ spl0_261
    | ~ spl0_86
    | ~ spl0_162
    | ~ spl0_35
    | ~ spl0_258
    | spl0_169 ),
    inference(contradiction_clause,[status(thm)],[f6597]) ).

fof(f6606,plain,
    ( e21 != op2(h2(e13),h2(e12))
    | ~ spl0_261
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_162
    | ~ spl0_59
    | spl0_175 ),
    inference(forward_demodulation,[status(thm)],[f6228,f4449]) ).

fof(f6607,plain,
    ( e21 != op2(e21,h2(e12))
    | ~ spl0_261
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_162
    | ~ spl0_59
    | spl0_175 ),
    inference(forward_demodulation,[status(thm)],[f6228,f6606]) ).

fof(f6608,plain,
    ( e21 != op2(e21,e22)
    | ~ spl0_161
    | ~ spl0_261
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_162
    | ~ spl0_59
    | spl0_175 ),
    inference(forward_demodulation,[status(thm)],[f6146,f6607]) ).

fof(f6609,plain,
    ( e21 != e21
    | ~ spl0_161
    | ~ spl0_261
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_162
    | ~ spl0_59
    | spl0_175 ),
    inference(forward_demodulation,[status(thm)],[f6145,f6608]) ).

fof(f6610,plain,
    ( $false
    | ~ spl0_161
    | ~ spl0_261
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_162
    | ~ spl0_59
    | spl0_175 ),
    inference(trivial_equality_resolution,[status(esa)],[f6609]) ).

fof(f6611,plain,
    ( ~ spl0_161
    | ~ spl0_261
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_162
    | ~ spl0_59
    | spl0_175 ),
    inference(contradiction_clause,[status(thm)],[f6610]) ).

fof(f6616,plain,
    ( e22 != op2(h2(e12),h2(e12))
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_261
    | ~ spl0_42
    | spl0_171 ),
    inference(forward_demodulation,[status(thm)],[f6146,f4427]) ).

fof(f6617,plain,
    ( e22 != op2(e22,h2(e12))
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_261
    | ~ spl0_42
    | spl0_171 ),
    inference(forward_demodulation,[status(thm)],[f6146,f6616]) ).

fof(f6618,plain,
    ( e22 != op2(e22,e22)
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_261
    | ~ spl0_42
    | spl0_171 ),
    inference(forward_demodulation,[status(thm)],[f6146,f6617]) ).

fof(f6619,plain,
    ( e22 != e22
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_261
    | ~ spl0_42
    | spl0_171 ),
    inference(forward_demodulation,[status(thm)],[f6251,f6618]) ).

fof(f6620,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_261
    | ~ spl0_42
    | spl0_171 ),
    inference(trivial_equality_resolution,[status(esa)],[f6619]) ).

fof(f6621,plain,
    ( ~ spl0_37
    | ~ spl0_170
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_261
    | ~ spl0_42
    | spl0_171 ),
    inference(contradiction_clause,[status(thm)],[f6620]) ).

fof(f6626,plain,
    ( e22 != op2(h3(e12),h3(e12))
    | ~ spl0_276
    | ~ spl0_42
    | spl0_194 ),
    inference(forward_demodulation,[status(thm)],[f2099,f4428]) ).

fof(f6627,plain,
    ( e22 != op2(e22,h3(e12))
    | ~ spl0_276
    | ~ spl0_42
    | spl0_194 ),
    inference(forward_demodulation,[status(thm)],[f2099,f6626]) ).

fof(f6628,plain,
    ( e22 != op2(e22,e22)
    | ~ spl0_276
    | ~ spl0_42
    | spl0_194 ),
    inference(forward_demodulation,[status(thm)],[f2099,f6627]) ).

fof(f6629,plain,
    ( e22 != e22
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_276
    | ~ spl0_42
    | spl0_194 ),
    inference(forward_demodulation,[status(thm)],[f6251,f6628]) ).

fof(f6630,plain,
    ( $false
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_276
    | ~ spl0_42
    | spl0_194 ),
    inference(trivial_equality_resolution,[status(esa)],[f6629]) ).

fof(f6631,plain,
    ( ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_276
    | ~ spl0_42
    | spl0_194 ),
    inference(contradiction_clause,[status(thm)],[f6630]) ).

fof(f6636,plain,
    ( e22 != op2(h3(e12),h3(e11))
    | ~ spl0_275
    | ~ spl0_37
    | spl0_193 ),
    inference(forward_demodulation,[status(thm)],[f2095,f5323]) ).

fof(f6637,plain,
    ( e22 != op2(e22,h3(e11))
    | ~ spl0_276
    | ~ spl0_275
    | ~ spl0_37
    | spl0_193 ),
    inference(forward_demodulation,[status(thm)],[f2099,f6636]) ).

fof(f6638,plain,
    ( e22 != op2(e22,e22)
    | ~ spl0_276
    | ~ spl0_275
    | ~ spl0_37
    | spl0_193 ),
    inference(forward_demodulation,[status(thm)],[f2095,f6637]) ).

fof(f6639,plain,
    ( e22 != e22
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_170
    | ~ spl0_276
    | ~ spl0_275
    | ~ spl0_37
    | spl0_193 ),
    inference(forward_demodulation,[status(thm)],[f6251,f6638]) ).

fof(f6640,plain,
    ( $false
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_170
    | ~ spl0_276
    | ~ spl0_275
    | ~ spl0_37
    | spl0_193 ),
    inference(trivial_equality_resolution,[status(esa)],[f6639]) ).

fof(f6641,plain,
    ( ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_170
    | ~ spl0_276
    | ~ spl0_275
    | ~ spl0_37
    | spl0_193 ),
    inference(contradiction_clause,[status(thm)],[f6640]) ).

fof(f6648,plain,
    ( h1(e10) != op2(e23,e21)
    | ~ spl0_52
    | ~ spl0_247
    | spl0_151 ),
    inference(forward_demodulation,[status(thm)],[f1238,f3360]) ).

fof(f6649,plain,
    ( e20 != op2(e23,e21)
    | ~ spl0_242
    | ~ spl0_52
    | ~ spl0_247
    | spl0_151 ),
    inference(forward_demodulation,[status(thm)],[f1963,f6648]) ).

fof(f6650,plain,
    ( e20 != e20
    | ~ spl0_116
    | ~ spl0_242
    | ~ spl0_52
    | ~ spl0_247
    | spl0_151 ),
    inference(forward_demodulation,[status(thm)],[f1478,f6649]) ).

fof(f6651,plain,
    ( $false
    | ~ spl0_116
    | ~ spl0_242
    | ~ spl0_52
    | ~ spl0_247
    | spl0_151 ),
    inference(trivial_equality_resolution,[status(esa)],[f6650]) ).

fof(f6652,plain,
    ( ~ spl0_116
    | ~ spl0_242
    | ~ spl0_52
    | ~ spl0_247
    | spl0_151 ),
    inference(contradiction_clause,[status(thm)],[f6651]) ).

fof(f6655,plain,
    ( e22 != op2(h2(e11),h2(e12))
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_25
    | spl0_167 ),
    inference(forward_demodulation,[status(thm)],[f5247,f5328]) ).

fof(f6656,plain,
    ( e22 != op2(e22,h2(e12))
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_25
    | spl0_167 ),
    inference(forward_demodulation,[status(thm)],[f5247,f6655]) ).

fof(f6657,plain,
    ( e22 != op2(e22,e22)
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_25
    | spl0_167 ),
    inference(forward_demodulation,[status(thm)],[f6146,f6656]) ).

fof(f6658,plain,
    ( e22 != e22
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_25
    | spl0_167 ),
    inference(forward_demodulation,[status(thm)],[f6251,f6657]) ).

fof(f6659,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_25
    | spl0_167 ),
    inference(trivial_equality_resolution,[status(esa)],[f6658]) ).

fof(f6660,plain,
    ( ~ spl0_37
    | ~ spl0_170
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_25
    | spl0_167 ),
    inference(contradiction_clause,[status(thm)],[f6659]) ).

fof(f6665,plain,
    ( e22 != op2(h3(e11),h3(e12))
    | ~ spl0_275
    | ~ spl0_25
    | spl0_190 ),
    inference(forward_demodulation,[status(thm)],[f2095,f5329]) ).

fof(f6666,plain,
    ( e22 != op2(e22,h3(e12))
    | ~ spl0_275
    | ~ spl0_25
    | spl0_190 ),
    inference(forward_demodulation,[status(thm)],[f2095,f6665]) ).

fof(f6667,plain,
    ( e22 != op2(e22,e22)
    | ~ spl0_276
    | ~ spl0_275
    | ~ spl0_25
    | spl0_190 ),
    inference(forward_demodulation,[status(thm)],[f2099,f6666]) ).

fof(f6668,plain,
    ( e22 != e22
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_276
    | ~ spl0_275
    | ~ spl0_25
    | spl0_190 ),
    inference(forward_demodulation,[status(thm)],[f6251,f6667]) ).

fof(f6669,plain,
    ( $false
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_276
    | ~ spl0_275
    | ~ spl0_25
    | spl0_190 ),
    inference(trivial_equality_resolution,[status(esa)],[f6668]) ).

fof(f6670,plain,
    ( ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_276
    | ~ spl0_275
    | ~ spl0_25
    | spl0_190 ),
    inference(contradiction_clause,[status(thm)],[f6669]) ).

fof(f6678,plain,
    ( op2(e22,e21) = e22
    | ~ spl0_261
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_162
    | ~ spl0_376 ),
    inference(forward_demodulation,[status(thm)],[f6228,f5757]) ).

fof(f6679,plain,
    ( e21 = e22
    | ~ spl0_161
    | ~ spl0_16
    | ~ spl0_165
    | ~ spl0_261
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_162
    | ~ spl0_376 ),
    inference(forward_demodulation,[status(thm)],[f6118,f6678]) ).

fof(f6680,plain,
    ( $false
    | ~ spl0_161
    | ~ spl0_16
    | ~ spl0_165
    | ~ spl0_261
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_162
    | ~ spl0_376 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6679,f221]) ).

fof(f6681,plain,
    ( ~ spl0_161
    | ~ spl0_16
    | ~ spl0_165
    | ~ spl0_261
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_162
    | ~ spl0_376 ),
    inference(contradiction_clause,[status(thm)],[f6680]) ).

fof(f6685,plain,
    ( e22 != op2(e21,h2(e13))
    | ~ spl0_86
    | ~ spl0_161
    | ~ spl0_261
    | ~ spl0_14
    | ~ spl0_258
    | spl0_164 ),
    inference(forward_demodulation,[status(thm)],[f6146,f5801]) ).

fof(f6686,plain,
    ( e22 != op2(e21,e21)
    | ~ spl0_162
    | ~ spl0_86
    | ~ spl0_161
    | ~ spl0_261
    | ~ spl0_14
    | ~ spl0_258
    | spl0_164 ),
    inference(forward_demodulation,[status(thm)],[f6228,f6685]) ).

fof(f6687,plain,
    ( e22 != e22
    | ~ spl0_162
    | ~ spl0_86
    | ~ spl0_161
    | ~ spl0_261
    | ~ spl0_14
    | ~ spl0_258
    | spl0_164 ),
    inference(forward_demodulation,[status(thm)],[f5256,f6686]) ).

fof(f6688,plain,
    ( $false
    | ~ spl0_162
    | ~ spl0_86
    | ~ spl0_161
    | ~ spl0_261
    | ~ spl0_14
    | ~ spl0_258
    | spl0_164 ),
    inference(trivial_equality_resolution,[status(esa)],[f6687]) ).

fof(f6689,plain,
    ( ~ spl0_162
    | ~ spl0_86
    | ~ spl0_161
    | ~ spl0_261
    | ~ spl0_14
    | ~ spl0_258
    | spl0_164 ),
    inference(contradiction_clause,[status(thm)],[f6688]) ).

fof(f6693,plain,
    ( e21 != op2(e22,h2(e13))
    | ~ spl0_86
    | ~ spl0_161
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_44
    | spl0_172 ),
    inference(forward_demodulation,[status(thm)],[f6146,f6126]) ).

fof(f6694,plain,
    ( e21 != op2(e22,e21)
    | ~ spl0_162
    | ~ spl0_86
    | ~ spl0_161
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_44
    | spl0_172 ),
    inference(forward_demodulation,[status(thm)],[f6228,f6693]) ).

fof(f6695,plain,
    ( e21 != e21
    | ~ spl0_16
    | ~ spl0_165
    | ~ spl0_162
    | ~ spl0_86
    | ~ spl0_161
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_44
    | spl0_172 ),
    inference(forward_demodulation,[status(thm)],[f6118,f6694]) ).

fof(f6696,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_165
    | ~ spl0_162
    | ~ spl0_86
    | ~ spl0_161
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_44
    | spl0_172 ),
    inference(trivial_equality_resolution,[status(esa)],[f6695]) ).

fof(f6697,plain,
    ( ~ spl0_16
    | ~ spl0_165
    | ~ spl0_162
    | ~ spl0_86
    | ~ spl0_161
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_44
    | spl0_172 ),
    inference(contradiction_clause,[status(thm)],[f6696]) ).

fof(f6703,plain,
    ( e23 != op2(e21,e23)
    | ~ spl0_125
    | ~ spl0_226
    | ~ spl0_16
    | spl0_211 ),
    inference(forward_demodulation,[status(thm)],[f3146,f3844]) ).

fof(f6704,plain,
    ( e23 != e23
    | ~ spl0_95
    | ~ spl0_125
    | ~ spl0_226
    | ~ spl0_16
    | spl0_211 ),
    inference(forward_demodulation,[status(thm)],[f1409,f6703]) ).

fof(f6705,plain,
    ( $false
    | ~ spl0_95
    | ~ spl0_125
    | ~ spl0_226
    | ~ spl0_16
    | spl0_211 ),
    inference(trivial_equality_resolution,[status(esa)],[f6704]) ).

fof(f6706,plain,
    ( ~ spl0_95
    | ~ spl0_125
    | ~ spl0_226
    | ~ spl0_16
    | spl0_211 ),
    inference(contradiction_clause,[status(thm)],[f6705]) ).

fof(f6715,plain,
    ( e22 != op2(h3(e11),h3(e11))
    | ~ spl0_276
    | ~ spl0_22
    | spl0_189 ),
    inference(forward_demodulation,[status(thm)],[f2099,f5294]) ).

fof(f6716,plain,
    ( e22 != op2(e22,h3(e11))
    | ~ spl0_275
    | ~ spl0_276
    | ~ spl0_22
    | spl0_189 ),
    inference(forward_demodulation,[status(thm)],[f2095,f6715]) ).

fof(f6717,plain,
    ( e22 != op2(e22,e22)
    | ~ spl0_275
    | ~ spl0_276
    | ~ spl0_22
    | spl0_189 ),
    inference(forward_demodulation,[status(thm)],[f2095,f6716]) ).

fof(f6718,plain,
    ( e22 != e22
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_275
    | ~ spl0_276
    | ~ spl0_22
    | spl0_189 ),
    inference(forward_demodulation,[status(thm)],[f6251,f6717]) ).

fof(f6719,plain,
    ( $false
    | ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_275
    | ~ spl0_276
    | ~ spl0_22
    | spl0_189 ),
    inference(trivial_equality_resolution,[status(esa)],[f6718]) ).

fof(f6720,plain,
    ( ~ spl0_261
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_86
    | ~ spl0_37
    | ~ spl0_170
    | ~ spl0_275
    | ~ spl0_276
    | ~ spl0_22
    | spl0_189 ),
    inference(contradiction_clause,[status(thm)],[f6719]) ).

fof(f6738,plain,
    ( e21 != e21
    | ~ spl0_125
    | ~ spl0_247
    | ~ spl0_61
    | spl0_153 ),
    inference(forward_demodulation,[status(thm)],[f3146,f6162]) ).

fof(f6739,plain,
    ( $false
    | ~ spl0_125
    | ~ spl0_247
    | ~ spl0_61
    | spl0_153 ),
    inference(trivial_equality_resolution,[status(esa)],[f6738]) ).

fof(f6740,plain,
    ( ~ spl0_125
    | ~ spl0_247
    | ~ spl0_61
    | spl0_153 ),
    inference(contradiction_clause,[status(thm)],[f6739]) ).

fof(f6747,plain,
    ( spl0_183
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_162
    | ~ spl0_91 ),
    inference(split_clause,[status(thm)],[f5877,f1748,f1379,f2026,f1682,f1395]) ).

fof(f6748,plain,
    ( e21 != op2(e23,e22)
    | ~ spl0_117 ),
    inference(forward_demodulation,[status(thm)],[f1481,f209]) ).

fof(f6749,plain,
    ( ~ spl0_121
    | ~ spl0_117 ),
    inference(split_clause,[status(thm)],[f6748,f1493,f1480]) ).

fof(f6750,plain,
    ( ~ spl0_109
    | ~ spl0_93 ),
    inference(split_clause,[status(thm)],[f5895,f1454,f1402]) ).

fof(f6752,plain,
    ( spl0_101
    | ~ spl0_247
    | ~ spl0_37
    | ~ spl0_147 ),
    inference(split_clause,[status(thm)],[f6370,f1428,f1982,f1188,f1633]) ).

fof(f6771,plain,
    ( e22 = e23
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_87 ),
    inference(forward_demodulation,[status(thm)],[f5256,f1383]) ).

fof(f6772,plain,
    ( $false
    | ~ spl0_86
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_87 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6771,f223]) ).

fof(f6773,plain,
    ( ~ spl0_86
    | ~ spl0_258
    | ~ spl0_161
    | ~ spl0_87 ),
    inference(contradiction_clause,[status(thm)],[f6772]) ).

fof(f6774,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f1080,f1093,f1132,f1158,f1171,f1184,f1197,f1210,f1223,f1249,f1275,f1276,f1277,f1280,f1283,f1284,f1285,f1286,f1288,f1289,f1292,f1294,f1295,f1296,f1299,f1300,f1301,f1302,f1303,f1305,f1306,f1307,f1346,f1359,f1372,f1385,f1398,f1411,f1437,f1450,f1463,f1476,f1489,f1502,f1515,f1516,f1517,f1518,f1520,f1523,f1524,f1525,f1526,f1527,f1528,f1529,f1530,f1532,f1533,f1534,f1535,f1536,f1537,f1539,f1540,f1541,f1542,f1543,f1545,f1546,f1547,f1551,f1553,f1554,f1556,f1563,f1564,f1568,f1572,f1576,f1580,f1582,f1583,f1584,f1585,f1592,f1593,f1597,f1601,f1605,f1678,f1739,f1743,f1747,f1901,f1902,f1903,f1904,f1906,f1913,f1925,f1933,f1934,f1935,f1936,f1945,f1953,f1957,f1959,f1961,f1965,f1985,f2005,f2013,f2017,f2021,f2025,f2029,f2049,f2053,f2061,f2065,f2069,f2073,f2081,f2093,f2113,f2129,f2145,f2157,f2169,f2177,f2181,f2182,f2189,f2201,f2205,f2209,f2213,f2214,f2221,f2233,f2241,f2245,f2248,f2253,f2265,f2273,f2277,f2280,f2285,f2286,f2288,f2294,f2306,f2308,f2314,f2315,f2323,f2327,f2331,f2335,f2336,f2337,f2339,f2343,f2345,f2355,f2356,f2360,f2364,f2367,f2372,f2374,f2375,f2376,f2377,f2384,f2385,f2389,f2393,f2396,f2401,f2402,f2403,f2413,f2421,f2425,f2428,f2429,f2433,f2434,f2435,f2436,f2437,f2438,f2445,f2449,f2453,f2457,f2458,f2460,f2465,f2477,f2485,f2489,f2497,f2498,f2500,f2502,f2509,f2517,f2521,f2529,f2530,f2532,f2533,f2538,f2546,f2550,f2551,f2552,f2558,f2559,f2561,f2562,f2567,f2575,f2579,f2580,f2581,f2587,f2588,f2590,f2591,f2596,f2604,f2608,f2610,f2616,f2617,f2619,f2620,f2625,f2633,f2637,f2638,f2639,f2645,f2648,f2649,f2657,f2658,f2662,f2666,f2668,f2674,f2677,f2678,f2686,f2687,f2691,f2695,f2697,f2703,f2715,f2723,f2727,f2731,f2735,f2747,f2755,f2759,f2763,f2767,f2768,f2776,f2780,f2784,f2788,f2796,f2797,f2805,f2813,f2817,f2825,f2826,f2834,f2842,f2846,f2854,f2855,f2863,f2871,f2875,f2883,f2892,f2900,f2908,f2912,f2921,f2929,f2937,f2938,f2952,f2953,f2958,f2972,f2973,f3015,f3018,f3040,f3050,f3061,f3072,f3076,f3079,f3085,f3088,f3092,f3095,f3099,f3102,f3126,f3129,f3140,f3148,f3155,f3158,f3159,f3163,f3173,f3178,f3180,f3187,f3201,f3231,f3259,f3269,f3277,f3294,f3300,f3309,f3320,f3327,f3331,f3338,f3368,f3392,f3395,f3396,f3404,f3412,f3416,f3451,f3455,f3459,f3462,f3466,f3469,f3472,f3500,f3550,f3572,f3576,f3603,f3606,f3609,f3639,f3653,f3663,f3664,f3668,f3672,f3673,f3674,f3677,f3679,f3688,f3691,f3694,f3697,f3700,f3703,f3713,f3714,f3721,f3737,f3741,f3754,f3769,f3774,f3794,f3822,f3824,f3825,f3830,f3836,f3838,f3851,f3862,f3863,f3904,f3906,f3908,f3913,f3914,f3915,f3921,f3927,f3933,f3938,f3943,f3964,f3971,f3985,f3987,f3994,f3995,f3999,f4006,f4038,f4042,f4062,f4086,f4087,f4102,f4103,f4107,f4109,f4116,f4123,f4124,f4169,f4172,f4175,f4176,f4202,f4207,f4216,f4223,f4233,f4235,f4247,f4250,f4252,f4254,f4259,f4268,f4270,f4271,f4274,f4280,f4281,f4283,f4284,f4285,f4289,f4292,f4295,f4299,f4334,f4374,f4377,f4447,f4452,f4457,f4473,f4474,f4478,f4482,f4484,f4485,f4486,f4495,f4505,f4529,f4534,f4556,f4559,f4565,f4567,f4569,f4571,f4575,f4581,f4584,f4589,f4697,f4702,f4704,f4706,f4709,f4710,f4713,f4718,f4721,f4722,f4724,f4725,f4727,f4731,f4732,f4733,f4735,f4737,f4738,f4742,f4744,f4746,f4747,f4749,f4751,f4753,f4754,f4759,f4761,f4762,f4765,f4767,f4769,f4773,f4774,f4776,f4778,f4779,f4780,f4781,f4783,f4784,f4787,f4805,f4808,f4811,f4819,f4821,f4824,f4844,f4852,f4855,f4887,f4902,f4905,f4921,f4923,f4924,f4927,f4940,f4963,f4965,f4986,f4997,f5004,f5008,f5071,f5076,f5083,f5100,f5119,f5129,f5159,f5163,f5172,f5190,f5199,f5207,f5212,f5214,f5215,f5238,f5240,f5246,f5251,f5257,f5258,f5263,f5269,f5275,f5278,f5279,f5301,f5303,f5306,f5356,f5364,f5378,f5407,f5415,f5446,f5449,f5457,f5460,f5469,f5480,f5481,f5485,f5505,f5645,f5648,f5652,f5655,f5667,f5668,f5669,f5694,f5707,f5712,f5713,f5717,f5721,f5732,f5737,f5740,f5749,f5805,f5812,f5876,f5909,f5916,f5935,f5944,f5968,f5997,f6006,f6034,f6047,f6059,f6117,f6148,f6187,f6200,f6232,f6240,f6242,f6244,f6282,f6287,f6290,f6297,f6303,f6309,f6323,f6336,f6342,f6357,f6366,f6375,f6387,f6419,f6429,f6460,f6466,f6504,f6598,f6611,f6621,f6631,f6641,f6652,f6660,f6670,f6681,f6689,f6697,f6706,f6720,f6740,f6747,f6749,f6750,f6752,f6773]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : ALG109+1 : TPTP v8.1.2. Released v2.7.0.
% 0.04/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Apr 29 23:34:01 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.39  % Drodi V3.6.0
% 31.42/4.43  % Refutation found
% 31.42/4.43  % SZS status Theorem for theBenchmark: Theorem is valid
% 31.42/4.43  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 32.08/4.45  % Elapsed time: 4.099922 seconds
% 32.08/4.45  % CPU time: 32.153486 seconds
% 32.08/4.45  % Total memory used: 89.117 MB
% 32.08/4.45  % Net memory used: 86.973 MB
%------------------------------------------------------------------------------