TSTP Solution File: ALG128+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : ALG128+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:10:06 EDT 2024

% Result   : Theorem 8.75s 1.54s
% Output   : CNFRefutation 8.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :  382
% Syntax   : Number of formulae    : 2732 ( 177 unt;   0 def)
%            Number of atoms       : 19447 (13381 equ)
%            Maximal formula atoms :  304 (   7 avg)
%            Number of connectives : 28476 (11761   ~;10966   |;5384   &)
%                                         ( 293 <=>;  72  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :  367 ( 365 usr; 366 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,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e10,e10) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) )
      | ( op1(e11,e11) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e11,e11) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e11,e11) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e11,e11) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) )
      | ( op1(e12,e12) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e12,e12) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e12,e12) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e12,e12) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) )
      | ( op1(e13,e13) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e13,e13) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e13,e13) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e13,e13) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) ) )
    & ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e12,e10) = e12
        & op1(e10,e12) = e12
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e12,e11) = e12
        & op1(e11,e12) = e12
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e12,e12) = e12
        & op1(e12,e12) = e12
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e12,e13) = e12
        & op1(e13,e12) = e12
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e13,e10) = e13
        & op1(e10,e13) = e13
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e13,e11) = e13
        & op1(e11,e13) = e13
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e13,e12) = e13
        & op1(e12,e13) = e13
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e13,e13) = e13
        & op1(e13,e13) = e13
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | 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,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e20,e20) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) )
      | ( op2(e21,e21) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e21,e21) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e21,e21) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e21,e21) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) )
      | ( op2(e22,e22) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e22,e22) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e22,e22) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e22,e22) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) )
      | ( op2(e23,e23) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e23,e23) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e23,e23) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e23,e23) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) ) )
    & ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e21,e23) = e21
        & op2(e23,e21) = e21
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e22,e20) = e22
        & op2(e20,e22) = e22
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e22,e21) = e22
        & op2(e21,e22) = e22
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e22,e22) = e22
        & op2(e22,e22) = e22
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e22,e23) = e22
        & op2(e23,e22) = e22
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e23,e20) = e23
        & op2(e20,e23) = e23
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e23,e21) = e23
        & op2(e21,e23) = e23
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e23,e22) = e23
        & op2(e22,e23) = e23
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e23,e23) = e23
        & op2(e23,e23) = e23
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

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

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

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

fof(f17,axiom,
    ( h4(e12) = e23
    & h4(e10) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e11) = op2(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(f22,plain,
    ( op1(e10,e12) = e10
    | op1(e10,e12) = e11
    | op1(e10,e12) = e12
    | op1(e10,e12) = e13 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f23,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = 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(f25,plain,
    ( op1(e11,e11) = e10
    | op1(e11,e11) = e11
    | op1(e11,e11) = e12
    | op1(e11,e11) = 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(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(f32,plain,
    ( op1(e13,e10) = e10
    | op1(e13,e10) = e11
    | op1(e13,e10) = e12
    | op1(e13,e10) = 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(f34,plain,
    ( op1(e13,e12) = e10
    | op1(e13,e12) = e11
    | op1(e13,e12) = e12
    | op1(e13,e12) = 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(f38,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e11) = e11
    | op1(e10,e12) = e11
    | op1(e10,e13) = e11 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f39,plain,
    ( op1(e10,e10) = e11
    | op1(e11,e10) = e11
    | op1(e12,e10) = e11
    | op1(e13,e10) = e11 ),
    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(f41,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | op1(e13,e10) = e12 ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f42,plain,
    ( op1(e10,e10) = e13
    | op1(e10,e11) = e13
    | op1(e10,e12) = e13
    | op1(e10,e13) = e13 ),
    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(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(f47,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = 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(f50,plain,
    ( op1(e11,e10) = e13
    | op1(e11,e11) = e13
    | op1(e11,e12) = e13
    | op1(e11,e13) = e13 ),
    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(f53,plain,
    ( op1(e10,e12) = e10
    | op1(e11,e12) = e10
    | op1(e12,e12) = e10
    | op1(e13,e12) = e10 ),
    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(f57,plain,
    ( op1(e10,e12) = e12
    | op1(e11,e12) = e12
    | op1(e12,e12) = e12
    | op1(e13,e12) = 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(f64,plain,
    ( op1(e13,e10) = e12
    | op1(e13,e11) = e12
    | op1(e13,e12) = 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(f68,plain,
    ( op2(e20,e20) = e20
    | op2(e20,e20) = e21
    | op2(e20,e20) = e22
    | op2(e20,e20) = e23 ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f69,plain,
    ( op2(e20,e21) = e20
    | op2(e20,e21) = e21
    | op2(e20,e21) = e22
    | op2(e20,e21) = e23 ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

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(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(f87,plain,
    ( op2(e20,e20) = e21
    | op2(e21,e20) = e21
    | op2(e22,e20) = e21
    | op2(e23,e20) = 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(f90,plain,
    ( op2(e20,e20) = e23
    | op2(e20,e21) = e23
    | op2(e20,e22) = e23
    | op2(e20,e23) = e23 ),
    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(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(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(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(f112,plain,
    ( op2(e23,e20) = e22
    | op2(e23,e21) = e22
    | op2(e23,e22) = e22
    | op2(e23,e23) = e22 ),
    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(f118,plain,
    op1(e10,e10) != op1(e13,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(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(f130,plain,
    op1(e10,e12) != op1(e13,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(f138,plain,
    op1(e11,e13) != op1(e13,e13),
    inference(cnf_transformation,[status(esa)],[f5]) ).

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

fof(f140,plain,
    op1(e10,e10) != op1(e10,e11),
    inference(cnf_transformation,[status(esa)],[f5]) ).

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

fof(f142,plain,
    op1(e10,e10) != op1(e10,e13),
    inference(cnf_transformation,[status(esa)],[f5]) ).

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

fof(f144,plain,
    op1(e10,e11) != op1(e10,e13),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f145,plain,
    op1(e10,e12) != op1(e10,e13),
    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(f154,plain,
    op1(e12,e10) != op1(e12,e13),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f156,plain,
    op1(e12,e11) != op1(e12,e13),
    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(f165,plain,
    op2(e20,e20) != op2(e22,e20),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f166,plain,
    op2(e20,e20) != op2(e23,e20),
    inference(cnf_transformation,[status(esa)],[f6]) ).

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

fof(f168,plain,
    op2(e21,e20) != op2(e23,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(f176,plain,
    op2(e20,e22) != op2(e21,e22),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f178,plain,
    op2(e20,e22) != op2(e23,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(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(f188,plain,
    op2(e20,e20) != op2(e20,e21),
    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(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(f208,plain,
    op2(e23,e20) != op2(e23,e23),
    inference(cnf_transformation,[status(esa)],[f6]) ).

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

fof(f210,plain,
    op2(e23,e21) != op2(e23,e23),
    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,
    ( pd0_0
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e10,e10) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) )
      | ( op1(e11,e11) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e11,e11) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e11,e11) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e11,e11) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) )
      | ( op1(e12,e12) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e12,e12) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e12,e12) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e12,e12) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) )
      | ( op1(e13,e13) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e13,e13) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e13,e13) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) ) ) ),
    introduced(predicate_definition,[f10]) ).

fof(f241,plain,
    ( pd0_1
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e12,e10) = e12
        & op1(e10,e12) = e12
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e12,e11) = e12
        & op1(e11,e12) = e12
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e12,e12) = e12
        & op1(e12,e12) = e12
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e12,e13) = e12
        & op1(e13,e12) = e12
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e13,e10) = e13
        & op1(e10,e13) = e13
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e13,e11) = e13
        & op1(e11,e13) = e13
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e13,e12) = e13
        & op1(e12,e13) = e13
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) ) ) ),
    introduced(predicate_definition,[f10]) ).

fof(f242,plain,
    ( ( pd0_0
      | ( op1(e13,e13) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) ) )
    & ( pd0_1
      | ( op1(e13,e13) = e13
        & op1(e13,e13) = e13
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) ) ) ),
    inference(formula_renaming,[status(thm)],[f10,f241,f240]) ).

fof(f243,plain,
    ( pd0_0
    | op1(e13,e13) = e13 ),
    inference(cnf_transformation,[status(esa)],[f242]) ).

fof(f244,plain,
    ( pd0_0
    | op1(e10,e10) != e13
    | op1(e10,e13) = e10 ),
    inference(cnf_transformation,[status(esa)],[f242]) ).

fof(f248,plain,
    ( pd0_1
    | op1(e13,e13) = e13 ),
    inference(cnf_transformation,[status(esa)],[f242]) ).

fof(f250,plain,
    ( pd0_1
    | op1(e13,e10) != e13
    | op1(e13,e13) != e10 ),
    inference(cnf_transformation,[status(esa)],[f242]) ).

fof(f251,plain,
    ( pd0_1
    | op1(e13,e11) != e13
    | op1(e13,e13) != e11 ),
    inference(cnf_transformation,[status(esa)],[f242]) ).

fof(f252,plain,
    ( pd0_1
    | op1(e13,e12) != e13
    | op1(e13,e13) != e12 ),
    inference(cnf_transformation,[status(esa)],[f242]) ).

fof(f253,plain,
    ( pd0_1
    | op1(e13,e13) != e13
    | op1(e13,e13) != e13 ),
    inference(cnf_transformation,[status(esa)],[f242]) ).

fof(f254,plain,
    ( pd0_2
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e20,e20) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) )
      | ( op2(e21,e21) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e21,e21) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e21,e21) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e21,e21) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) )
      | ( op2(e22,e22) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e22,e22) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e22,e22) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e22,e22) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) )
      | ( op2(e23,e23) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e23,e23) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e23,e23) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) ) ) ),
    introduced(predicate_definition,[f11]) ).

fof(f255,plain,
    ( pd0_3
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e21,e23) = e21
        & op2(e23,e21) = e21
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e22,e20) = e22
        & op2(e20,e22) = e22
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e22,e21) = e22
        & op2(e21,e22) = e22
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e22,e22) = e22
        & op2(e22,e22) = e22
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e22,e23) = e22
        & op2(e23,e22) = e22
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e23,e20) = e23
        & op2(e20,e23) = e23
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e23,e21) = e23
        & op2(e21,e23) = e23
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e23,e22) = e23
        & op2(e22,e23) = e23
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) ) ) ),
    introduced(predicate_definition,[f11]) ).

fof(f256,plain,
    ( ( pd0_2
      | ( op2(e23,e23) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) ) )
    & ( pd0_3
      | ( op2(e23,e23) = e23
        & op2(e23,e23) = e23
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) ) ) ),
    inference(formula_renaming,[status(thm)],[f11,f255,f254]) ).

fof(f257,plain,
    ( pd0_2
    | op2(e23,e23) = e23 ),
    inference(cnf_transformation,[status(esa)],[f256]) ).

fof(f258,plain,
    ( pd0_2
    | op2(e20,e20) != e23
    | op2(e20,e23) = e20 ),
    inference(cnf_transformation,[status(esa)],[f256]) ).

fof(f262,plain,
    ( pd0_3
    | op2(e23,e23) = e23 ),
    inference(cnf_transformation,[status(esa)],[f256]) ).

fof(f266,plain,
    ( pd0_3
    | op2(e23,e22) != e23
    | op2(e23,e23) != e22 ),
    inference(cnf_transformation,[status(esa)],[f256]) ).

fof(f267,plain,
    ( pd0_3
    | op2(e23,e23) != e23
    | op2(e23,e23) != e23 ),
    inference(cnf_transformation,[status(esa)],[f256]) ).

fof(f268,plain,
    e10 = op1(op1(e12,e12),op1(e12,e12)),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f269,plain,
    e11 = op1(e12,e12),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f270,plain,
    e13 = op1(e12,op1(e12,e12)),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f271,plain,
    e20 = op2(op2(e22,e22),op2(e22,e22)),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f272,plain,
    e21 = op2(e22,e22),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f273,plain,
    e23 = op2(e22,op2(e22,e22)),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f274,plain,
    h1(e12) = e20,
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f275,plain,
    h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f276,plain,
    h1(e11) = op2(e20,e20),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f277,plain,
    h1(e13) = op2(e20,op2(e20,e20)),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f278,plain,
    h2(e12) = e21,
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f279,plain,
    h2(e10) = op2(op2(e21,e21),op2(e21,e21)),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f280,plain,
    h2(e11) = op2(e21,e21),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f281,plain,
    h2(e13) = op2(e21,op2(e21,e21)),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f282,plain,
    h3(e12) = e22,
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f283,plain,
    h3(e10) = op2(op2(e22,e22),op2(e22,e22)),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f284,plain,
    h3(e11) = op2(e22,e22),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f285,plain,
    h3(e13) = op2(e22,op2(e22,e22)),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f286,plain,
    h4(e12) = e23,
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f287,plain,
    h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f288,plain,
    h4(e11) = op2(e23,e23),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f289,plain,
    h4(e13) = op2(e23,op2(e23,e23)),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f290,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(f291,plain,
    ( pd0_4
   => ( h1(e10) != e20
      & h1(e11) != e20
      & h1(e12) != e20
      & h1(e13) != e20 ) ),
    introduced(predicate_definition,[f290]) ).

fof(f292,plain,
    ( pd0_5
   => ( h1(e10) != e21
      & h1(e11) != e21
      & h1(e12) != e21
      & h1(e13) != e21 ) ),
    introduced(predicate_definition,[f290]) ).

fof(f293,plain,
    ( pd0_6
   => ( h1(e10) != e22
      & h1(e11) != e22
      & h1(e12) != e22
      & h1(e13) != e22 ) ),
    introduced(predicate_definition,[f290]) ).

fof(f294,plain,
    ( pd0_7
   => ( h2(e10) != e20
      & h2(e11) != e20
      & h2(e12) != e20
      & h2(e13) != e20 ) ),
    introduced(predicate_definition,[f290]) ).

fof(f295,plain,
    ( pd0_8
   => ( h2(e10) != e21
      & h2(e11) != e21
      & h2(e12) != e21
      & h2(e13) != e21 ) ),
    introduced(predicate_definition,[f290]) ).

fof(f296,plain,
    ( pd0_9
   => ( h2(e10) != e22
      & h2(e11) != e22
      & h2(e12) != e22
      & h2(e13) != e22 ) ),
    introduced(predicate_definition,[f290]) ).

fof(f297,plain,
    ( pd0_10
   => ( h3(e10) != e20
      & h3(e11) != e20
      & h3(e12) != e20
      & h3(e13) != e20 ) ),
    introduced(predicate_definition,[f290]) ).

fof(f298,plain,
    ( pd0_11
   => ( h3(e10) != e21
      & h3(e11) != e21
      & h3(e12) != e21
      & h3(e13) != e21 ) ),
    introduced(predicate_definition,[f290]) ).

fof(f299,plain,
    ( pd0_12
   => ( h3(e10) != e22
      & h3(e11) != e22
      & h3(e12) != e22
      & h3(e13) != e22 ) ),
    introduced(predicate_definition,[f290]) ).

fof(f300,plain,
    ( pd0_13
   => ( h4(e10) != e20
      & h4(e11) != e20
      & h4(e12) != e20
      & h4(e13) != e20 ) ),
    introduced(predicate_definition,[f290]) ).

fof(f301,plain,
    ( pd0_14
   => ( h4(e10) != e21
      & h4(e11) != e21
      & h4(e12) != e21
      & h4(e13) != e21 ) ),
    introduced(predicate_definition,[f290]) ).

fof(f302,plain,
    ( pd0_15
   => ( h4(e10) != e22
      & h4(e11) != e22
      & h4(e12) != e22
      & h4(e13) != e22 ) ),
    introduced(predicate_definition,[f290]) ).

fof(f303,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_4
      | pd0_5
      | pd0_6
      | ( 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_7
      | pd0_8
      | pd0_9
      | ( 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_10
      | pd0_11
      | pd0_12
      | ( 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_13
      | pd0_14
      | pd0_15
      | ( h4(e10) != e23
        & h4(e11) != e23
        & h4(e12) != e23
        & h4(e13) != e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f290,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291]) ).

fof(f305,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_4
    | pd0_5
    | pd0_6
    | h1(e11) != e23 ),
    inference(cnf_transformation,[status(esa)],[f303]) ).

fof(f307,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_4
    | pd0_5
    | pd0_6
    | h1(e13) != e23 ),
    inference(cnf_transformation,[status(esa)],[f303]) ).

fof(f311,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_7
    | pd0_8
    | pd0_9
    | h2(e13) != e23 ),
    inference(cnf_transformation,[status(esa)],[f303]) ).

fof(f315,plain,
    ( 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_10
    | pd0_11
    | pd0_12
    | h3(e13) != e23 ),
    inference(cnf_transformation,[status(esa)],[f303]) ).

fof(f318,plain,
    ( 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_13
    | pd0_14
    | pd0_15
    | h4(e12) != e23 ),
    inference(cnf_transformation,[status(esa)],[f303]) ).

fof(f320,plain,
    ( ~ pd0_0
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) )
    | ( op1(e10,e10) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) )
    | ( op1(e11,e11) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e11,e11) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e11,e11) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) )
    | ( op1(e11,e11) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) )
    | ( op1(e12,e12) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e12,e12) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e12,e12) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) )
    | ( op1(e12,e12) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) )
    | ( op1(e13,e13) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e13,e13) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e13,e13) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f240]) ).

fof(f321,plain,
    ( pd0_16
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e10,e10) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) )
      | ( op1(e11,e11) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e11,e11) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e11,e11) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e11,e11) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) )
      | ( op1(e12,e12) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e12,e12) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e12,e12) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e12,e12) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) )
      | ( op1(e13,e13) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e13,e13) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) ) ) ),
    introduced(predicate_definition,[f320]) ).

fof(f322,plain,
    ( ~ pd0_0
    | pd0_16
    | ( op1(e13,e13) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f320,f321]) ).

fof(f323,plain,
    ( ~ pd0_0
    | pd0_16
    | op1(e13,e13) = e12 ),
    inference(cnf_transformation,[status(esa)],[f322]) ).

fof(f324,plain,
    ( ~ pd0_0
    | pd0_16
    | op1(e10,e10) != e12
    | op1(e10,e12) = e10 ),
    inference(cnf_transformation,[status(esa)],[f322]) ).

fof(f327,plain,
    ( ~ pd0_0
    | pd0_16
    | op1(e13,e13) != e12
    | op1(e13,e12) = e13 ),
    inference(cnf_transformation,[status(esa)],[f322]) ).

fof(f328,plain,
    ( ~ pd0_1
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) )
    | ( op1(e10,e13) = e10
      & op1(e13,e10) = e10
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) )
    | ( op1(e11,e10) = e11
      & op1(e10,e11) = e11
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e11,e11) = e11
      & op1(e11,e11) = e11
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e11,e12) = e11
      & op1(e12,e11) = e11
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) )
    | ( op1(e11,e13) = e11
      & op1(e13,e11) = e11
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) )
    | ( op1(e12,e10) = e12
      & op1(e10,e12) = e12
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e12,e11) = e12
      & op1(e11,e12) = e12
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e12,e12) = e12
      & op1(e12,e12) = e12
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) )
    | ( op1(e12,e13) = e12
      & op1(e13,e12) = e12
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) )
    | ( op1(e13,e10) = e13
      & op1(e10,e13) = e13
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e13,e11) = e13
      & op1(e11,e13) = e13
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e13,e12) = e13
      & op1(e12,e13) = e13
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f241]) ).

fof(f329,plain,
    ( pd0_17
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e12,e10) = e12
        & op1(e10,e12) = e12
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e12,e11) = e12
        & op1(e11,e12) = e12
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e12,e12) = e12
        & op1(e12,e12) = e12
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e12,e13) = e12
        & op1(e13,e12) = e12
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e13,e10) = e13
        & op1(e10,e13) = e13
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e13,e11) = e13
        & op1(e11,e13) = e13
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) ) ) ),
    introduced(predicate_definition,[f328]) ).

fof(f330,plain,
    ( ~ pd0_1
    | pd0_17
    | ( op1(e13,e12) = e13
      & op1(e12,e13) = e13
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f328,f329]) ).

fof(f331,plain,
    ( ~ pd0_1
    | pd0_17
    | op1(e13,e12) = e13 ),
    inference(cnf_transformation,[status(esa)],[f330]) ).

fof(f332,plain,
    ( ~ pd0_1
    | pd0_17
    | op1(e12,e13) = e13 ),
    inference(cnf_transformation,[status(esa)],[f330]) ).

fof(f337,plain,
    ( ~ pd0_2
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) )
    | ( op2(e20,e20) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) )
    | ( op2(e21,e21) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e21,e21) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e21,e21) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) )
    | ( op2(e21,e21) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) )
    | ( op2(e22,e22) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e22,e22) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e22,e22) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) )
    | ( op2(e22,e22) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) )
    | ( op2(e23,e23) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e23,e23) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e23,e23) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f254]) ).

fof(f338,plain,
    ( pd0_18
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e20,e20) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) )
      | ( op2(e21,e21) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e21,e21) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e21,e21) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e21,e21) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) )
      | ( op2(e22,e22) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e22,e22) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e22,e22) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e22,e22) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) )
      | ( op2(e23,e23) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e23,e23) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) ) ) ),
    introduced(predicate_definition,[f337]) ).

fof(f339,plain,
    ( ~ pd0_2
    | pd0_18
    | ( op2(e23,e23) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f337,f338]) ).

fof(f340,plain,
    ( ~ pd0_2
    | pd0_18
    | op2(e23,e23) = e22 ),
    inference(cnf_transformation,[status(esa)],[f339]) ).

fof(f344,plain,
    ( ~ pd0_2
    | pd0_18
    | op2(e23,e23) != e22
    | op2(e23,e22) = e23 ),
    inference(cnf_transformation,[status(esa)],[f339]) ).

fof(f345,plain,
    ( ~ pd0_3
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) )
    | ( op2(e20,e23) = e20
      & op2(e23,e20) = e20
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) )
    | ( op2(e21,e20) = e21
      & op2(e20,e21) = e21
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e21,e21) = e21
      & op2(e21,e21) = e21
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e21,e22) = e21
      & op2(e22,e21) = e21
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) )
    | ( op2(e21,e23) = e21
      & op2(e23,e21) = e21
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) )
    | ( op2(e22,e20) = e22
      & op2(e20,e22) = e22
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e22,e21) = e22
      & op2(e21,e22) = e22
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e22,e22) = e22
      & op2(e22,e22) = e22
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) )
    | ( op2(e22,e23) = e22
      & op2(e23,e22) = e22
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) )
    | ( op2(e23,e20) = e23
      & op2(e20,e23) = e23
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e23,e21) = e23
      & op2(e21,e23) = e23
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e23,e22) = e23
      & op2(e22,e23) = e23
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f255]) ).

fof(f346,plain,
    ( pd0_19
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e21,e23) = e21
        & op2(e23,e21) = e21
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e22,e20) = e22
        & op2(e20,e22) = e22
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e22,e21) = e22
        & op2(e21,e22) = e22
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e22,e22) = e22
        & op2(e22,e22) = e22
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e22,e23) = e22
        & op2(e23,e22) = e22
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e23,e20) = e23
        & op2(e20,e23) = e23
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e23,e21) = e23
        & op2(e21,e23) = e23
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) ) ) ),
    introduced(predicate_definition,[f345]) ).

fof(f347,plain,
    ( ~ pd0_3
    | pd0_19
    | ( op2(e23,e22) = e23
      & op2(e22,e23) = e23
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f345,f346]) ).

fof(f348,plain,
    ( ~ pd0_3
    | pd0_19
    | op2(e23,e22) = e23 ),
    inference(cnf_transformation,[status(esa)],[f347]) ).

fof(f349,plain,
    ( ~ pd0_3
    | pd0_19
    | op2(e22,e23) = e23 ),
    inference(cnf_transformation,[status(esa)],[f347]) ).

fof(f354,plain,
    ( ~ pd0_4
    | ( h1(e10) != e20
      & h1(e11) != e20
      & h1(e12) != e20
      & h1(e13) != e20 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f291]) ).

fof(f357,plain,
    ( ~ pd0_4
    | h1(e12) != e20 ),
    inference(cnf_transformation,[status(esa)],[f354]) ).

fof(f359,plain,
    ( ~ pd0_5
    | ( h1(e10) != e21
      & h1(e11) != e21
      & h1(e12) != e21
      & h1(e13) != e21 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f292]) ).

fof(f360,plain,
    ( ~ pd0_5
    | h1(e10) != e21 ),
    inference(cnf_transformation,[status(esa)],[f359]) ).

fof(f364,plain,
    ( ~ pd0_6
    | ( h1(e10) != e22
      & h1(e11) != e22
      & h1(e12) != e22
      & h1(e13) != e22 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f293]) ).

fof(f366,plain,
    ( ~ pd0_6
    | h1(e11) != e22 ),
    inference(cnf_transformation,[status(esa)],[f364]) ).

fof(f368,plain,
    ( ~ pd0_6
    | h1(e13) != e22 ),
    inference(cnf_transformation,[status(esa)],[f364]) ).

fof(f369,plain,
    ( ~ pd0_7
    | ( h2(e10) != e20
      & h2(e11) != e20
      & h2(e12) != e20
      & h2(e13) != e20 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f294]) ).

fof(f371,plain,
    ( ~ pd0_7
    | h2(e11) != e20 ),
    inference(cnf_transformation,[status(esa)],[f369]) ).

fof(f374,plain,
    ( ~ pd0_8
    | ( h2(e10) != e21
      & h2(e11) != e21
      & h2(e12) != e21
      & h2(e13) != e21 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f295]) ).

fof(f377,plain,
    ( ~ pd0_8
    | h2(e12) != e21 ),
    inference(cnf_transformation,[status(esa)],[f374]) ).

fof(f379,plain,
    ( ~ pd0_9
    | ( h2(e10) != e22
      & h2(e11) != e22
      & h2(e12) != e22
      & h2(e13) != e22 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f296]) ).

fof(f380,plain,
    ( ~ pd0_9
    | h2(e10) != e22 ),
    inference(cnf_transformation,[status(esa)],[f379]) ).

fof(f384,plain,
    ( ~ pd0_10
    | ( h3(e10) != e20
      & h3(e11) != e20
      & h3(e12) != e20
      & h3(e13) != e20 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f297]) ).

fof(f385,plain,
    ( ~ pd0_10
    | h3(e10) != e20 ),
    inference(cnf_transformation,[status(esa)],[f384]) ).

fof(f389,plain,
    ( ~ pd0_11
    | ( h3(e10) != e21
      & h3(e11) != e21
      & h3(e12) != e21
      & h3(e13) != e21 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f298]) ).

fof(f391,plain,
    ( ~ pd0_11
    | h3(e11) != e21 ),
    inference(cnf_transformation,[status(esa)],[f389]) ).

fof(f394,plain,
    ( ~ pd0_12
    | ( h3(e10) != e22
      & h3(e11) != e22
      & h3(e12) != e22
      & h3(e13) != e22 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f299]) ).

fof(f397,plain,
    ( ~ pd0_12
    | h3(e12) != e22 ),
    inference(cnf_transformation,[status(esa)],[f394]) ).

fof(f399,plain,
    ( ~ pd0_13
    | ( h4(e10) != e20
      & h4(e11) != e20
      & h4(e12) != e20
      & h4(e13) != e20 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f300]) ).

fof(f400,plain,
    ( ~ pd0_13
    | h4(e10) != e20 ),
    inference(cnf_transformation,[status(esa)],[f399]) ).

fof(f401,plain,
    ( ~ pd0_13
    | h4(e11) != e20 ),
    inference(cnf_transformation,[status(esa)],[f399]) ).

fof(f404,plain,
    ( ~ pd0_14
    | ( h4(e10) != e21
      & h4(e11) != e21
      & h4(e12) != e21
      & h4(e13) != e21 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f301]) ).

fof(f406,plain,
    ( ~ pd0_14
    | h4(e11) != e21 ),
    inference(cnf_transformation,[status(esa)],[f404]) ).

fof(f408,plain,
    ( ~ pd0_14
    | h4(e13) != e21 ),
    inference(cnf_transformation,[status(esa)],[f404]) ).

fof(f409,plain,
    ( ~ pd0_15
    | ( h4(e10) != e22
      & h4(e11) != e22
      & h4(e12) != e22
      & h4(e13) != e22 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f302]) ).

fof(f410,plain,
    ( ~ pd0_15
    | h4(e10) != e22 ),
    inference(cnf_transformation,[status(esa)],[f409]) ).

fof(f413,plain,
    ( ~ pd0_15
    | h4(e13) != e22 ),
    inference(cnf_transformation,[status(esa)],[f409]) ).

fof(f414,plain,
    ( ~ pd0_16
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) )
    | ( op1(e10,e10) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) )
    | ( op1(e11,e11) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e11,e11) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e11,e11) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) )
    | ( op1(e11,e11) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) )
    | ( op1(e12,e12) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e12,e12) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e12,e12) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) )
    | ( op1(e12,e12) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) )
    | ( op1(e13,e13) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e13,e13) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f321]) ).

fof(f415,plain,
    ( pd0_20
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e10,e10) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) )
      | ( op1(e11,e11) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e11,e11) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e11,e11) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e11,e11) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) )
      | ( op1(e12,e12) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e12,e12) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e12,e12) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e12,e12) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) )
      | ( op1(e13,e13) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) ) ) ),
    introduced(predicate_definition,[f414]) ).

fof(f416,plain,
    ( ~ pd0_16
    | pd0_20
    | ( op1(e13,e13) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f414,f415]) ).

fof(f417,plain,
    ( ~ pd0_16
    | pd0_20
    | op1(e13,e13) = e11 ),
    inference(cnf_transformation,[status(esa)],[f416]) ).

fof(f418,plain,
    ( ~ pd0_16
    | pd0_20
    | op1(e10,e10) != e11
    | op1(e10,e11) = e10 ),
    inference(cnf_transformation,[status(esa)],[f416]) ).

fof(f420,plain,
    ( ~ pd0_16
    | pd0_20
    | op1(e12,e12) != e11
    | op1(e12,e11) = e12 ),
    inference(cnf_transformation,[status(esa)],[f416]) ).

fof(f422,plain,
    ( ~ pd0_17
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) )
    | ( op1(e10,e13) = e10
      & op1(e13,e10) = e10
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) )
    | ( op1(e11,e10) = e11
      & op1(e10,e11) = e11
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e11,e11) = e11
      & op1(e11,e11) = e11
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e11,e12) = e11
      & op1(e12,e11) = e11
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) )
    | ( op1(e11,e13) = e11
      & op1(e13,e11) = e11
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) )
    | ( op1(e12,e10) = e12
      & op1(e10,e12) = e12
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e12,e11) = e12
      & op1(e11,e12) = e12
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e12,e12) = e12
      & op1(e12,e12) = e12
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) )
    | ( op1(e12,e13) = e12
      & op1(e13,e12) = e12
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) )
    | ( op1(e13,e10) = e13
      & op1(e10,e13) = e13
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e13,e11) = e13
      & op1(e11,e13) = e13
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f329]) ).

fof(f423,plain,
    ( pd0_21
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e12,e10) = e12
        & op1(e10,e12) = e12
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e12,e11) = e12
        & op1(e11,e12) = e12
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e12,e12) = e12
        & op1(e12,e12) = e12
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e12,e13) = e12
        & op1(e13,e12) = e12
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e13,e10) = e13
        & op1(e10,e13) = e13
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) ) ) ),
    introduced(predicate_definition,[f422]) ).

fof(f424,plain,
    ( ~ pd0_17
    | pd0_21
    | ( op1(e13,e11) = e13
      & op1(e11,e13) = e13
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f422,f423]) ).

fof(f425,plain,
    ( ~ pd0_17
    | pd0_21
    | op1(e13,e11) = e13 ),
    inference(cnf_transformation,[status(esa)],[f424]) ).

fof(f426,plain,
    ( ~ pd0_17
    | pd0_21
    | op1(e11,e13) = e13 ),
    inference(cnf_transformation,[status(esa)],[f424]) ).

fof(f427,plain,
    ( ~ pd0_17
    | pd0_21
    | op1(e11,e10) != e11
    | op1(e11,e11) != e10 ),
    inference(cnf_transformation,[status(esa)],[f424]) ).

fof(f431,plain,
    ( ~ pd0_18
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) )
    | ( op2(e20,e20) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) )
    | ( op2(e21,e21) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e21,e21) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e21,e21) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) )
    | ( op2(e21,e21) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) )
    | ( op2(e22,e22) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e22,e22) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e22,e22) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) )
    | ( op2(e22,e22) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) )
    | ( op2(e23,e23) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e23,e23) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f338]) ).

fof(f432,plain,
    ( pd0_22
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e20,e20) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) )
      | ( op2(e21,e21) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e21,e21) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e21,e21) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e21,e21) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) )
      | ( op2(e22,e22) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e22,e22) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e22,e22) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e22,e22) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) )
      | ( op2(e23,e23) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) ) ) ),
    introduced(predicate_definition,[f431]) ).

fof(f433,plain,
    ( ~ pd0_18
    | pd0_22
    | ( op2(e23,e23) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f431,f432]) ).

fof(f434,plain,
    ( ~ pd0_18
    | pd0_22
    | op2(e23,e23) = e21 ),
    inference(cnf_transformation,[status(esa)],[f433]) ).

fof(f437,plain,
    ( ~ pd0_18
    | pd0_22
    | op2(e22,e22) != e21
    | op2(e22,e21) = e22 ),
    inference(cnf_transformation,[status(esa)],[f433]) ).

fof(f439,plain,
    ( ~ pd0_19
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) )
    | ( op2(e20,e23) = e20
      & op2(e23,e20) = e20
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) )
    | ( op2(e21,e20) = e21
      & op2(e20,e21) = e21
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e21,e21) = e21
      & op2(e21,e21) = e21
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e21,e22) = e21
      & op2(e22,e21) = e21
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) )
    | ( op2(e21,e23) = e21
      & op2(e23,e21) = e21
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) )
    | ( op2(e22,e20) = e22
      & op2(e20,e22) = e22
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e22,e21) = e22
      & op2(e21,e22) = e22
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e22,e22) = e22
      & op2(e22,e22) = e22
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) )
    | ( op2(e22,e23) = e22
      & op2(e23,e22) = e22
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) )
    | ( op2(e23,e20) = e23
      & op2(e20,e23) = e23
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e23,e21) = e23
      & op2(e21,e23) = e23
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f346]) ).

fof(f440,plain,
    ( pd0_23
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e21,e23) = e21
        & op2(e23,e21) = e21
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e22,e20) = e22
        & op2(e20,e22) = e22
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e22,e21) = e22
        & op2(e21,e22) = e22
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e22,e22) = e22
        & op2(e22,e22) = e22
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e22,e23) = e22
        & op2(e23,e22) = e22
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e23,e20) = e23
        & op2(e20,e23) = e23
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) ) ) ),
    introduced(predicate_definition,[f439]) ).

fof(f441,plain,
    ( ~ pd0_19
    | pd0_23
    | ( op2(e23,e21) = e23
      & op2(e21,e23) = e23
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f439,f440]) ).

fof(f442,plain,
    ( ~ pd0_19
    | pd0_23
    | op2(e23,e21) = e23 ),
    inference(cnf_transformation,[status(esa)],[f441]) ).

fof(f443,plain,
    ( ~ pd0_19
    | pd0_23
    | op2(e21,e23) = e23 ),
    inference(cnf_transformation,[status(esa)],[f441]) ).

fof(f444,plain,
    ( ~ pd0_19
    | pd0_23
    | op2(e21,e20) != e21
    | op2(e21,e21) != e20 ),
    inference(cnf_transformation,[status(esa)],[f441]) ).

fof(f448,plain,
    ( ~ pd0_20
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) )
    | ( op1(e10,e10) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) )
    | ( op1(e11,e11) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e11,e11) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e11,e11) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) )
    | ( op1(e11,e11) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) )
    | ( op1(e12,e12) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e12,e12) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e12,e12) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) )
    | ( op1(e12,e12) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) )
    | ( op1(e13,e13) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f415]) ).

fof(f449,plain,
    ( pd0_24
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e10,e10) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) )
      | ( op1(e11,e11) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e11,e11) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e11,e11) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e11,e11) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) )
      | ( op1(e12,e12) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e12,e12) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e12,e12) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e12,e12) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) ) ) ),
    introduced(predicate_definition,[f448]) ).

fof(f450,plain,
    ( ~ pd0_20
    | pd0_24
    | ( op1(e13,e13) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f448,f449]) ).

fof(f451,plain,
    ( ~ pd0_20
    | pd0_24
    | op1(e13,e13) = e10 ),
    inference(cnf_transformation,[status(esa)],[f450]) ).

fof(f453,plain,
    ( ~ pd0_20
    | pd0_24
    | op1(e11,e11) != e10
    | op1(e11,e10) = e11 ),
    inference(cnf_transformation,[status(esa)],[f450]) ).

fof(f455,plain,
    ( ~ pd0_20
    | pd0_24
    | op1(e13,e13) != e10
    | op1(e13,e10) = e13 ),
    inference(cnf_transformation,[status(esa)],[f450]) ).

fof(f456,plain,
    ( ~ pd0_21
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) )
    | ( op1(e10,e13) = e10
      & op1(e13,e10) = e10
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) )
    | ( op1(e11,e10) = e11
      & op1(e10,e11) = e11
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e11,e11) = e11
      & op1(e11,e11) = e11
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e11,e12) = e11
      & op1(e12,e11) = e11
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) )
    | ( op1(e11,e13) = e11
      & op1(e13,e11) = e11
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) )
    | ( op1(e12,e10) = e12
      & op1(e10,e12) = e12
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e12,e11) = e12
      & op1(e11,e12) = e12
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e12,e12) = e12
      & op1(e12,e12) = e12
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) )
    | ( op1(e12,e13) = e12
      & op1(e13,e12) = e12
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) )
    | ( op1(e13,e10) = e13
      & op1(e10,e13) = e13
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f423]) ).

fof(f457,plain,
    ( pd0_25
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e12,e10) = e12
        & op1(e10,e12) = e12
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e12,e11) = e12
        & op1(e11,e12) = e12
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e12,e12) = e12
        & op1(e12,e12) = e12
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e12,e13) = e12
        & op1(e13,e12) = e12
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) ) ) ),
    introduced(predicate_definition,[f456]) ).

fof(f458,plain,
    ( ~ pd0_21
    | pd0_25
    | ( op1(e13,e10) = e13
      & op1(e10,e13) = e13
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f456,f457]) ).

fof(f459,plain,
    ( ~ pd0_21
    | pd0_25
    | op1(e13,e10) = e13 ),
    inference(cnf_transformation,[status(esa)],[f458]) ).

fof(f460,plain,
    ( ~ pd0_21
    | pd0_25
    | op1(e10,e13) = e13 ),
    inference(cnf_transformation,[status(esa)],[f458]) ).

fof(f461,plain,
    ( ~ pd0_21
    | pd0_25
    | op1(e10,e10) != e10
    | op1(e10,e10) != e10 ),
    inference(cnf_transformation,[status(esa)],[f458]) ).

fof(f462,plain,
    ( ~ pd0_21
    | pd0_25
    | op1(e10,e11) != e10
    | op1(e10,e10) != e11 ),
    inference(cnf_transformation,[status(esa)],[f458]) ).

fof(f463,plain,
    ( ~ pd0_21
    | pd0_25
    | op1(e10,e12) != e10
    | op1(e10,e10) != e12 ),
    inference(cnf_transformation,[status(esa)],[f458]) ).

fof(f465,plain,
    ( ~ pd0_22
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) )
    | ( op2(e20,e20) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) )
    | ( op2(e21,e21) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e21,e21) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e21,e21) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) )
    | ( op2(e21,e21) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) )
    | ( op2(e22,e22) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e22,e22) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e22,e22) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) )
    | ( op2(e22,e22) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) )
    | ( op2(e23,e23) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f432]) ).

fof(f466,plain,
    ( pd0_26
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e20,e20) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) )
      | ( op2(e21,e21) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e21,e21) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e21,e21) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e21,e21) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) )
      | ( op2(e22,e22) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e22,e22) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e22,e22) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e22,e22) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) ) ) ),
    introduced(predicate_definition,[f465]) ).

fof(f467,plain,
    ( ~ pd0_22
    | pd0_26
    | ( op2(e23,e23) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f465,f466]) ).

fof(f468,plain,
    ( ~ pd0_22
    | pd0_26
    | op2(e23,e23) = e20 ),
    inference(cnf_transformation,[status(esa)],[f467]) ).

fof(f470,plain,
    ( ~ pd0_22
    | pd0_26
    | op2(e21,e21) != e20
    | op2(e21,e20) = e21 ),
    inference(cnf_transformation,[status(esa)],[f467]) ).

fof(f472,plain,
    ( ~ pd0_22
    | pd0_26
    | op2(e23,e23) != e20
    | op2(e23,e20) = e23 ),
    inference(cnf_transformation,[status(esa)],[f467]) ).

fof(f473,plain,
    ( ~ pd0_23
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) )
    | ( op2(e20,e23) = e20
      & op2(e23,e20) = e20
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) )
    | ( op2(e21,e20) = e21
      & op2(e20,e21) = e21
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e21,e21) = e21
      & op2(e21,e21) = e21
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e21,e22) = e21
      & op2(e22,e21) = e21
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) )
    | ( op2(e21,e23) = e21
      & op2(e23,e21) = e21
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) )
    | ( op2(e22,e20) = e22
      & op2(e20,e22) = e22
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e22,e21) = e22
      & op2(e21,e22) = e22
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e22,e22) = e22
      & op2(e22,e22) = e22
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) )
    | ( op2(e22,e23) = e22
      & op2(e23,e22) = e22
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) )
    | ( op2(e23,e20) = e23
      & op2(e20,e23) = e23
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f440]) ).

fof(f474,plain,
    ( pd0_27
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e21,e23) = e21
        & op2(e23,e21) = e21
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e22,e20) = e22
        & op2(e20,e22) = e22
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e22,e21) = e22
        & op2(e21,e22) = e22
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e22,e22) = e22
        & op2(e22,e22) = e22
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e22,e23) = e22
        & op2(e23,e22) = e22
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) ) ) ),
    introduced(predicate_definition,[f473]) ).

fof(f475,plain,
    ( ~ pd0_23
    | pd0_27
    | ( op2(e23,e20) = e23
      & op2(e20,e23) = e23
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f473,f474]) ).

fof(f476,plain,
    ( ~ pd0_23
    | pd0_27
    | op2(e23,e20) = e23 ),
    inference(cnf_transformation,[status(esa)],[f475]) ).

fof(f477,plain,
    ( ~ pd0_23
    | pd0_27
    | op2(e20,e23) = e23 ),
    inference(cnf_transformation,[status(esa)],[f475]) ).

fof(f478,plain,
    ( ~ pd0_23
    | pd0_27
    | op2(e20,e20) != e20
    | op2(e20,e20) != e20 ),
    inference(cnf_transformation,[status(esa)],[f475]) ).

fof(f479,plain,
    ( ~ pd0_23
    | pd0_27
    | op2(e20,e21) != e20
    | op2(e20,e20) != e21 ),
    inference(cnf_transformation,[status(esa)],[f475]) ).

fof(f481,plain,
    ( ~ pd0_23
    | pd0_27
    | op2(e20,e23) != e20
    | op2(e20,e20) != e23 ),
    inference(cnf_transformation,[status(esa)],[f475]) ).

fof(f482,plain,
    ( ~ pd0_24
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) )
    | ( op1(e10,e10) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) )
    | ( op1(e11,e11) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e11,e11) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e11,e11) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) )
    | ( op1(e11,e11) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) )
    | ( op1(e12,e12) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e12,e12) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e12,e12) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) )
    | ( op1(e12,e12) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f449]) ).

fof(f483,plain,
    ( pd0_28
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e10,e10) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) )
      | ( op1(e11,e11) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e11,e11) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e11,e11) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e11,e11) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) )
      | ( op1(e12,e12) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e12,e12) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e12,e12) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) ) ) ),
    introduced(predicate_definition,[f482]) ).

fof(f484,plain,
    ( ~ pd0_24
    | pd0_28
    | ( op1(e12,e12) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f482,f483]) ).

fof(f485,plain,
    ( ~ pd0_24
    | pd0_28
    | op1(e12,e12) = e13 ),
    inference(cnf_transformation,[status(esa)],[f484]) ).

fof(f490,plain,
    ( ~ pd0_25
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) )
    | ( op1(e10,e13) = e10
      & op1(e13,e10) = e10
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) )
    | ( op1(e11,e10) = e11
      & op1(e10,e11) = e11
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e11,e11) = e11
      & op1(e11,e11) = e11
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e11,e12) = e11
      & op1(e12,e11) = e11
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) )
    | ( op1(e11,e13) = e11
      & op1(e13,e11) = e11
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) )
    | ( op1(e12,e10) = e12
      & op1(e10,e12) = e12
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e12,e11) = e12
      & op1(e11,e12) = e12
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e12,e12) = e12
      & op1(e12,e12) = e12
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) )
    | ( op1(e12,e13) = e12
      & op1(e13,e12) = e12
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f457]) ).

fof(f491,plain,
    ( pd0_29
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e12,e10) = e12
        & op1(e10,e12) = e12
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e12,e11) = e12
        & op1(e11,e12) = e12
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e12,e12) = e12
        & op1(e12,e12) = e12
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) ) ) ),
    introduced(predicate_definition,[f490]) ).

fof(f492,plain,
    ( ~ pd0_25
    | pd0_29
    | ( op1(e12,e13) = e12
      & op1(e13,e12) = e12
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f490,f491]) ).

fof(f493,plain,
    ( ~ pd0_25
    | pd0_29
    | op1(e12,e13) = e12 ),
    inference(cnf_transformation,[status(esa)],[f492]) ).

fof(f494,plain,
    ( ~ pd0_25
    | pd0_29
    | op1(e13,e12) = e12 ),
    inference(cnf_transformation,[status(esa)],[f492]) ).

fof(f495,plain,
    ( ~ pd0_25
    | pd0_29
    | op1(e13,e10) != e13
    | op1(e13,e13) != e10 ),
    inference(cnf_transformation,[status(esa)],[f492]) ).

fof(f498,plain,
    ( ~ pd0_25
    | pd0_29
    | op1(e13,e13) != e13
    | op1(e13,e13) != e13 ),
    inference(cnf_transformation,[status(esa)],[f492]) ).

fof(f499,plain,
    ( ~ pd0_26
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) )
    | ( op2(e20,e20) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) )
    | ( op2(e21,e21) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e21,e21) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e21,e21) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) )
    | ( op2(e21,e21) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) )
    | ( op2(e22,e22) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e22,e22) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e22,e22) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) )
    | ( op2(e22,e22) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f466]) ).

fof(f500,plain,
    ( pd0_30
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e20,e20) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) )
      | ( op2(e21,e21) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e21,e21) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e21,e21) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e21,e21) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) )
      | ( op2(e22,e22) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e22,e22) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e22,e22) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) ) ) ),
    introduced(predicate_definition,[f499]) ).

fof(f501,plain,
    ( ~ pd0_26
    | pd0_30
    | ( op2(e22,e22) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f499,f500]) ).

fof(f502,plain,
    ( ~ pd0_26
    | pd0_30
    | op2(e22,e22) = e23 ),
    inference(cnf_transformation,[status(esa)],[f501]) ).

fof(f507,plain,
    ( ~ pd0_27
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) )
    | ( op2(e20,e23) = e20
      & op2(e23,e20) = e20
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) )
    | ( op2(e21,e20) = e21
      & op2(e20,e21) = e21
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e21,e21) = e21
      & op2(e21,e21) = e21
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e21,e22) = e21
      & op2(e22,e21) = e21
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) )
    | ( op2(e21,e23) = e21
      & op2(e23,e21) = e21
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) )
    | ( op2(e22,e20) = e22
      & op2(e20,e22) = e22
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e22,e21) = e22
      & op2(e21,e22) = e22
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e22,e22) = e22
      & op2(e22,e22) = e22
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) )
    | ( op2(e22,e23) = e22
      & op2(e23,e22) = e22
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f474]) ).

fof(f508,plain,
    ( pd0_31
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e21,e23) = e21
        & op2(e23,e21) = e21
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e22,e20) = e22
        & op2(e20,e22) = e22
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e22,e21) = e22
        & op2(e21,e22) = e22
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e22,e22) = e22
        & op2(e22,e22) = e22
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) ) ) ),
    introduced(predicate_definition,[f507]) ).

fof(f509,plain,
    ( ~ pd0_27
    | pd0_31
    | ( op2(e22,e23) = e22
      & op2(e23,e22) = e22
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f507,f508]) ).

fof(f510,plain,
    ( ~ pd0_27
    | pd0_31
    | op2(e22,e23) = e22 ),
    inference(cnf_transformation,[status(esa)],[f509]) ).

fof(f511,plain,
    ( ~ pd0_27
    | pd0_31
    | op2(e23,e22) = e22 ),
    inference(cnf_transformation,[status(esa)],[f509]) ).

fof(f515,plain,
    ( ~ pd0_27
    | pd0_31
    | op2(e23,e23) != e23
    | op2(e23,e23) != e23 ),
    inference(cnf_transformation,[status(esa)],[f509]) ).

fof(f516,plain,
    ( ~ pd0_28
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) )
    | ( op1(e10,e10) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) )
    | ( op1(e11,e11) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e11,e11) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e11,e11) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) )
    | ( op1(e11,e11) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) )
    | ( op1(e12,e12) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e12,e12) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e12,e12) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f483]) ).

fof(f517,plain,
    ( pd0_32
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e10,e10) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) )
      | ( op1(e11,e11) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e11,e11) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e11,e11) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e11,e11) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) )
      | ( op1(e12,e12) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e12,e12) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) ) ) ),
    introduced(predicate_definition,[f516]) ).

fof(f518,plain,
    ( ~ pd0_28
    | pd0_32
    | ( op1(e12,e12) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f516,f517]) ).

fof(f519,plain,
    ( ~ pd0_28
    | pd0_32
    | op1(e12,e12) = e12 ),
    inference(cnf_transformation,[status(esa)],[f518]) ).

fof(f524,plain,
    ( ~ pd0_29
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) )
    | ( op1(e10,e13) = e10
      & op1(e13,e10) = e10
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) )
    | ( op1(e11,e10) = e11
      & op1(e10,e11) = e11
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e11,e11) = e11
      & op1(e11,e11) = e11
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e11,e12) = e11
      & op1(e12,e11) = e11
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) )
    | ( op1(e11,e13) = e11
      & op1(e13,e11) = e11
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) )
    | ( op1(e12,e10) = e12
      & op1(e10,e12) = e12
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e12,e11) = e12
      & op1(e11,e12) = e12
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e12,e12) = e12
      & op1(e12,e12) = e12
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f491]) ).

fof(f525,plain,
    ( pd0_33
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e12,e10) = e12
        & op1(e10,e12) = e12
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e12,e11) = e12
        & op1(e11,e12) = e12
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) ) ) ),
    introduced(predicate_definition,[f524]) ).

fof(f526,plain,
    ( ~ pd0_29
    | pd0_33
    | ( op1(e12,e12) = e12
      & op1(e12,e12) = e12
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f524,f525]) ).

fof(f527,plain,
    ( ~ pd0_29
    | pd0_33
    | op1(e12,e12) = e12 ),
    inference(cnf_transformation,[status(esa)],[f526]) ).

fof(f533,plain,
    ( ~ pd0_30
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) )
    | ( op2(e20,e20) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) )
    | ( op2(e21,e21) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e21,e21) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e21,e21) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) )
    | ( op2(e21,e21) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) )
    | ( op2(e22,e22) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e22,e22) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e22,e22) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f500]) ).

fof(f534,plain,
    ( pd0_34
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e20,e20) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) )
      | ( op2(e21,e21) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e21,e21) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e21,e21) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e21,e21) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) )
      | ( op2(e22,e22) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e22,e22) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) ) ) ),
    introduced(predicate_definition,[f533]) ).

fof(f535,plain,
    ( ~ pd0_30
    | pd0_34
    | ( op2(e22,e22) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f533,f534]) ).

fof(f536,plain,
    ( ~ pd0_30
    | pd0_34
    | op2(e22,e22) = e22 ),
    inference(cnf_transformation,[status(esa)],[f535]) ).

fof(f541,plain,
    ( ~ pd0_31
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) )
    | ( op2(e20,e23) = e20
      & op2(e23,e20) = e20
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) )
    | ( op2(e21,e20) = e21
      & op2(e20,e21) = e21
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e21,e21) = e21
      & op2(e21,e21) = e21
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e21,e22) = e21
      & op2(e22,e21) = e21
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) )
    | ( op2(e21,e23) = e21
      & op2(e23,e21) = e21
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) )
    | ( op2(e22,e20) = e22
      & op2(e20,e22) = e22
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e22,e21) = e22
      & op2(e21,e22) = e22
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e22,e22) = e22
      & op2(e22,e22) = e22
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f508]) ).

fof(f542,plain,
    ( pd0_35
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e21,e23) = e21
        & op2(e23,e21) = e21
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e22,e20) = e22
        & op2(e20,e22) = e22
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e22,e21) = e22
        & op2(e21,e22) = e22
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) ) ) ),
    introduced(predicate_definition,[f541]) ).

fof(f543,plain,
    ( ~ pd0_31
    | pd0_35
    | ( op2(e22,e22) = e22
      & op2(e22,e22) = e22
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f541,f542]) ).

fof(f544,plain,
    ( ~ pd0_31
    | pd0_35
    | op2(e22,e22) = e22 ),
    inference(cnf_transformation,[status(esa)],[f543]) ).

fof(f550,plain,
    ( ~ pd0_32
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) )
    | ( op1(e10,e10) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) )
    | ( op1(e11,e11) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e11,e11) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e11,e11) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) )
    | ( op1(e11,e11) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) )
    | ( op1(e12,e12) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e12,e12) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f517]) ).

fof(f551,plain,
    ( pd0_36
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e10,e10) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) )
      | ( op1(e11,e11) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e11,e11) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e11,e11) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e11,e11) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) )
      | ( op1(e12,e12) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) ) ) ),
    introduced(predicate_definition,[f550]) ).

fof(f552,plain,
    ( ~ pd0_32
    | pd0_36
    | ( op1(e12,e12) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f550,f551]) ).

fof(f554,plain,
    ( ~ pd0_32
    | pd0_36
    | op1(e10,e10) != e11
    | op1(e10,e11) = e10 ),
    inference(cnf_transformation,[status(esa)],[f552]) ).

fof(f556,plain,
    ( ~ pd0_32
    | pd0_36
    | op1(e12,e12) != e11
    | op1(e12,e11) = e12 ),
    inference(cnf_transformation,[status(esa)],[f552]) ).

fof(f558,plain,
    ( ~ pd0_33
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) )
    | ( op1(e10,e13) = e10
      & op1(e13,e10) = e10
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) )
    | ( op1(e11,e10) = e11
      & op1(e10,e11) = e11
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e11,e11) = e11
      & op1(e11,e11) = e11
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e11,e12) = e11
      & op1(e12,e11) = e11
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) )
    | ( op1(e11,e13) = e11
      & op1(e13,e11) = e11
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) )
    | ( op1(e12,e10) = e12
      & op1(e10,e12) = e12
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e12,e11) = e12
      & op1(e11,e12) = e12
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f525]) ).

fof(f559,plain,
    ( pd0_37
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e12,e10) = e12
        & op1(e10,e12) = e12
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) ) ) ),
    introduced(predicate_definition,[f558]) ).

fof(f560,plain,
    ( ~ pd0_33
    | pd0_37
    | ( op1(e12,e11) = e12
      & op1(e11,e12) = e12
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f558,f559]) ).

fof(f561,plain,
    ( ~ pd0_33
    | pd0_37
    | op1(e12,e11) = e12 ),
    inference(cnf_transformation,[status(esa)],[f560]) ).

fof(f567,plain,
    ( ~ pd0_34
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) )
    | ( op2(e20,e20) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) )
    | ( op2(e21,e21) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e21,e21) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e21,e21) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) )
    | ( op2(e21,e21) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) )
    | ( op2(e22,e22) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e22,e22) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f534]) ).

fof(f568,plain,
    ( pd0_38
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e20,e20) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) )
      | ( op2(e21,e21) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e21,e21) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e21,e21) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e21,e21) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) )
      | ( op2(e22,e22) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) ) ) ),
    introduced(predicate_definition,[f567]) ).

fof(f569,plain,
    ( ~ pd0_34
    | pd0_38
    | ( op2(e22,e22) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f567,f568]) ).

fof(f573,plain,
    ( ~ pd0_34
    | pd0_38
    | op2(e22,e22) != e21
    | op2(e22,e21) = e22 ),
    inference(cnf_transformation,[status(esa)],[f569]) ).

fof(f575,plain,
    ( ~ pd0_35
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) )
    | ( op2(e20,e23) = e20
      & op2(e23,e20) = e20
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) )
    | ( op2(e21,e20) = e21
      & op2(e20,e21) = e21
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e21,e21) = e21
      & op2(e21,e21) = e21
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e21,e22) = e21
      & op2(e22,e21) = e21
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) )
    | ( op2(e21,e23) = e21
      & op2(e23,e21) = e21
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) )
    | ( op2(e22,e20) = e22
      & op2(e20,e22) = e22
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e22,e21) = e22
      & op2(e21,e22) = e22
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f542]) ).

fof(f576,plain,
    ( pd0_39
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e21,e23) = e21
        & op2(e23,e21) = e21
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e22,e20) = e22
        & op2(e20,e22) = e22
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) ) ) ),
    introduced(predicate_definition,[f575]) ).

fof(f577,plain,
    ( ~ pd0_35
    | pd0_39
    | ( op2(e22,e21) = e22
      & op2(e21,e22) = e22
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f575,f576]) ).

fof(f578,plain,
    ( ~ pd0_35
    | pd0_39
    | op2(e22,e21) = e22 ),
    inference(cnf_transformation,[status(esa)],[f577]) ).

fof(f584,plain,
    ( ~ pd0_36
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) )
    | ( op1(e10,e10) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) )
    | ( op1(e11,e11) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e11,e11) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e11,e11) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) )
    | ( op1(e11,e11) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) )
    | ( op1(e12,e12) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f551]) ).

fof(f585,plain,
    ( pd0_40
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e10,e10) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) )
      | ( op1(e11,e11) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e11,e11) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e11,e11) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e11,e11) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) ) ) ),
    introduced(predicate_definition,[f584]) ).

fof(f586,plain,
    ( ~ pd0_36
    | pd0_40
    | ( op1(e12,e12) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f584,f585]) ).

fof(f587,plain,
    ( ~ pd0_36
    | pd0_40
    | op1(e12,e12) = e10 ),
    inference(cnf_transformation,[status(esa)],[f586]) ).

fof(f592,plain,
    ( ~ pd0_37
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) )
    | ( op1(e10,e13) = e10
      & op1(e13,e10) = e10
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) )
    | ( op1(e11,e10) = e11
      & op1(e10,e11) = e11
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e11,e11) = e11
      & op1(e11,e11) = e11
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e11,e12) = e11
      & op1(e12,e11) = e11
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) )
    | ( op1(e11,e13) = e11
      & op1(e13,e11) = e11
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) )
    | ( op1(e12,e10) = e12
      & op1(e10,e12) = e12
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f559]) ).

fof(f593,plain,
    ( pd0_41
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) ) ) ),
    introduced(predicate_definition,[f592]) ).

fof(f594,plain,
    ( ~ pd0_37
    | pd0_41
    | ( op1(e12,e10) = e12
      & op1(e10,e12) = e12
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f592,f593]) ).

fof(f595,plain,
    ( ~ pd0_37
    | pd0_41
    | op1(e12,e10) = e12 ),
    inference(cnf_transformation,[status(esa)],[f594]) ).

fof(f596,plain,
    ( ~ pd0_37
    | pd0_41
    | op1(e10,e12) = e12 ),
    inference(cnf_transformation,[status(esa)],[f594]) ).

fof(f597,plain,
    ( ~ pd0_37
    | pd0_41
    | op1(e10,e10) != e10
    | op1(e10,e10) != e10 ),
    inference(cnf_transformation,[status(esa)],[f594]) ).

fof(f598,plain,
    ( ~ pd0_37
    | pd0_41
    | op1(e10,e11) != e10
    | op1(e10,e10) != e11 ),
    inference(cnf_transformation,[status(esa)],[f594]) ).

fof(f601,plain,
    ( ~ pd0_38
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) )
    | ( op2(e20,e20) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) )
    | ( op2(e21,e21) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e21,e21) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e21,e21) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) )
    | ( op2(e21,e21) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) )
    | ( op2(e22,e22) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f568]) ).

fof(f602,plain,
    ( pd0_42
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e20,e20) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) )
      | ( op2(e21,e21) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e21,e21) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e21,e21) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e21,e21) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) ) ) ),
    introduced(predicate_definition,[f601]) ).

fof(f603,plain,
    ( ~ pd0_38
    | pd0_42
    | ( op2(e22,e22) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f601,f602]) ).

fof(f604,plain,
    ( ~ pd0_38
    | pd0_42
    | op2(e22,e22) = e20 ),
    inference(cnf_transformation,[status(esa)],[f603]) ).

fof(f609,plain,
    ( ~ pd0_39
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) )
    | ( op2(e20,e23) = e20
      & op2(e23,e20) = e20
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) )
    | ( op2(e21,e20) = e21
      & op2(e20,e21) = e21
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e21,e21) = e21
      & op2(e21,e21) = e21
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e21,e22) = e21
      & op2(e22,e21) = e21
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) )
    | ( op2(e21,e23) = e21
      & op2(e23,e21) = e21
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) )
    | ( op2(e22,e20) = e22
      & op2(e20,e22) = e22
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f576]) ).

fof(f610,plain,
    ( pd0_43
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e21,e23) = e21
        & op2(e23,e21) = e21
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) ) ) ),
    introduced(predicate_definition,[f609]) ).

fof(f611,plain,
    ( ~ pd0_39
    | pd0_43
    | ( op2(e22,e20) = e22
      & op2(e20,e22) = e22
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f609,f610]) ).

fof(f612,plain,
    ( ~ pd0_39
    | pd0_43
    | op2(e22,e20) = e22 ),
    inference(cnf_transformation,[status(esa)],[f611]) ).

fof(f613,plain,
    ( ~ pd0_39
    | pd0_43
    | op2(e20,e22) = e22 ),
    inference(cnf_transformation,[status(esa)],[f611]) ).

fof(f614,plain,
    ( ~ pd0_39
    | pd0_43
    | op2(e20,e20) != e20
    | op2(e20,e20) != e20 ),
    inference(cnf_transformation,[status(esa)],[f611]) ).

fof(f615,plain,
    ( ~ pd0_39
    | pd0_43
    | op2(e20,e21) != e20
    | op2(e20,e20) != e21 ),
    inference(cnf_transformation,[status(esa)],[f611]) ).

fof(f617,plain,
    ( ~ pd0_39
    | pd0_43
    | op2(e20,e23) != e20
    | op2(e20,e20) != e23 ),
    inference(cnf_transformation,[status(esa)],[f611]) ).

fof(f618,plain,
    ( ~ pd0_40
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) )
    | ( op1(e10,e10) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) )
    | ( op1(e11,e11) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e11,e11) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e11,e11) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) )
    | ( op1(e11,e11) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f585]) ).

fof(f619,plain,
    ( pd0_44
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e10,e10) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) )
      | ( op1(e11,e11) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e11,e11) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e11,e11) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) ) ) ),
    introduced(predicate_definition,[f618]) ).

fof(f620,plain,
    ( ~ pd0_40
    | pd0_44
    | ( op1(e11,e11) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f618,f619]) ).

fof(f621,plain,
    ( ~ pd0_40
    | pd0_44
    | op1(e11,e11) = e13 ),
    inference(cnf_transformation,[status(esa)],[f620]) ).

fof(f626,plain,
    ( ~ pd0_41
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) )
    | ( op1(e10,e13) = e10
      & op1(e13,e10) = e10
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) )
    | ( op1(e11,e10) = e11
      & op1(e10,e11) = e11
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e11,e11) = e11
      & op1(e11,e11) = e11
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e11,e12) = e11
      & op1(e12,e11) = e11
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) )
    | ( op1(e11,e13) = e11
      & op1(e13,e11) = e11
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f593]) ).

fof(f627,plain,
    ( pd0_45
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) ) ) ),
    introduced(predicate_definition,[f626]) ).

fof(f628,plain,
    ( ~ pd0_41
    | pd0_45
    | ( op1(e11,e13) = e11
      & op1(e13,e11) = e11
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f626,f627]) ).

fof(f629,plain,
    ( ~ pd0_41
    | pd0_45
    | op1(e11,e13) = e11 ),
    inference(cnf_transformation,[status(esa)],[f628]) ).

fof(f630,plain,
    ( ~ pd0_41
    | pd0_45
    | op1(e13,e11) = e11 ),
    inference(cnf_transformation,[status(esa)],[f628]) ).

fof(f631,plain,
    ( ~ pd0_41
    | pd0_45
    | op1(e13,e10) != e13
    | op1(e13,e13) != e10 ),
    inference(cnf_transformation,[status(esa)],[f628]) ).

fof(f633,plain,
    ( ~ pd0_41
    | pd0_45
    | op1(e13,e12) != e13
    | op1(e13,e13) != e12 ),
    inference(cnf_transformation,[status(esa)],[f628]) ).

fof(f634,plain,
    ( ~ pd0_41
    | pd0_45
    | op1(e13,e13) != e13
    | op1(e13,e13) != e13 ),
    inference(cnf_transformation,[status(esa)],[f628]) ).

fof(f635,plain,
    ( ~ pd0_42
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) )
    | ( op2(e20,e20) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) )
    | ( op2(e21,e21) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e21,e21) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e21,e21) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) )
    | ( op2(e21,e21) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f602]) ).

fof(f636,plain,
    ( pd0_46
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e20,e20) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) )
      | ( op2(e21,e21) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e21,e21) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e21,e21) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) ) ) ),
    introduced(predicate_definition,[f635]) ).

fof(f637,plain,
    ( ~ pd0_42
    | pd0_46
    | ( op2(e21,e21) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f635,f636]) ).

fof(f638,plain,
    ( ~ pd0_42
    | pd0_46
    | op2(e21,e21) = e23 ),
    inference(cnf_transformation,[status(esa)],[f637]) ).

fof(f643,plain,
    ( ~ pd0_43
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) )
    | ( op2(e20,e23) = e20
      & op2(e23,e20) = e20
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) )
    | ( op2(e21,e20) = e21
      & op2(e20,e21) = e21
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e21,e21) = e21
      & op2(e21,e21) = e21
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e21,e22) = e21
      & op2(e22,e21) = e21
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) )
    | ( op2(e21,e23) = e21
      & op2(e23,e21) = e21
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f610]) ).

fof(f644,plain,
    ( pd0_47
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) ) ) ),
    introduced(predicate_definition,[f643]) ).

fof(f645,plain,
    ( ~ pd0_43
    | pd0_47
    | ( op2(e21,e23) = e21
      & op2(e23,e21) = e21
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f643,f644]) ).

fof(f646,plain,
    ( ~ pd0_43
    | pd0_47
    | op2(e21,e23) = e21 ),
    inference(cnf_transformation,[status(esa)],[f645]) ).

fof(f647,plain,
    ( ~ pd0_43
    | pd0_47
    | op2(e23,e21) = e21 ),
    inference(cnf_transformation,[status(esa)],[f645]) ).

fof(f650,plain,
    ( ~ pd0_43
    | pd0_47
    | op2(e23,e22) != e23
    | op2(e23,e23) != e22 ),
    inference(cnf_transformation,[status(esa)],[f645]) ).

fof(f651,plain,
    ( ~ pd0_43
    | pd0_47
    | op2(e23,e23) != e23
    | op2(e23,e23) != e23 ),
    inference(cnf_transformation,[status(esa)],[f645]) ).

fof(f652,plain,
    ( ~ pd0_44
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) )
    | ( op1(e10,e10) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) )
    | ( op1(e11,e11) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e11,e11) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e11,e11) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f619]) ).

fof(f653,plain,
    ( pd0_48
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e10,e10) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) )
      | ( op1(e11,e11) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e11,e11) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) ) ) ),
    introduced(predicate_definition,[f652]) ).

fof(f654,plain,
    ( ~ pd0_44
    | pd0_48
    | ( op1(e11,e11) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f652,f653]) ).

fof(f655,plain,
    ( ~ pd0_44
    | pd0_48
    | op1(e11,e11) = e12 ),
    inference(cnf_transformation,[status(esa)],[f654]) ).

fof(f660,plain,
    ( ~ pd0_45
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) )
    | ( op1(e10,e13) = e10
      & op1(e13,e10) = e10
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) )
    | ( op1(e11,e10) = e11
      & op1(e10,e11) = e11
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e11,e11) = e11
      & op1(e11,e11) = e11
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e11,e12) = e11
      & op1(e12,e11) = e11
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f627]) ).

fof(f661,plain,
    ( pd0_49
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) ) ) ),
    introduced(predicate_definition,[f660]) ).

fof(f662,plain,
    ( ~ pd0_45
    | pd0_49
    | ( op1(e11,e12) = e11
      & op1(e12,e11) = e11
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f660,f661]) ).

fof(f663,plain,
    ( ~ pd0_45
    | pd0_49
    | op1(e11,e12) = e11 ),
    inference(cnf_transformation,[status(esa)],[f662]) ).

fof(f664,plain,
    ( ~ pd0_45
    | pd0_49
    | op1(e12,e11) = e11 ),
    inference(cnf_transformation,[status(esa)],[f662]) ).

fof(f669,plain,
    ( ~ pd0_46
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) )
    | ( op2(e20,e20) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) )
    | ( op2(e21,e21) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e21,e21) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e21,e21) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f636]) ).

fof(f670,plain,
    ( pd0_50
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e20,e20) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) )
      | ( op2(e21,e21) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e21,e21) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) ) ) ),
    introduced(predicate_definition,[f669]) ).

fof(f671,plain,
    ( ~ pd0_46
    | pd0_50
    | ( op2(e21,e21) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f669,f670]) ).

fof(f672,plain,
    ( ~ pd0_46
    | pd0_50
    | op2(e21,e21) = e22 ),
    inference(cnf_transformation,[status(esa)],[f671]) ).

fof(f677,plain,
    ( ~ pd0_47
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) )
    | ( op2(e20,e23) = e20
      & op2(e23,e20) = e20
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) )
    | ( op2(e21,e20) = e21
      & op2(e20,e21) = e21
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e21,e21) = e21
      & op2(e21,e21) = e21
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e21,e22) = e21
      & op2(e22,e21) = e21
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f644]) ).

fof(f678,plain,
    ( pd0_51
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) ) ) ),
    introduced(predicate_definition,[f677]) ).

fof(f679,plain,
    ( ~ pd0_47
    | pd0_51
    | ( op2(e21,e22) = e21
      & op2(e22,e21) = e21
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f677,f678]) ).

fof(f680,plain,
    ( ~ pd0_47
    | pd0_51
    | op2(e21,e22) = e21 ),
    inference(cnf_transformation,[status(esa)],[f679]) ).

fof(f681,plain,
    ( ~ pd0_47
    | pd0_51
    | op2(e22,e21) = e21 ),
    inference(cnf_transformation,[status(esa)],[f679]) ).

fof(f686,plain,
    ( ~ pd0_48
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) )
    | ( op1(e10,e10) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) )
    | ( op1(e11,e11) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e11,e11) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f653]) ).

fof(f687,plain,
    ( pd0_52
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e10,e10) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) )
      | ( op1(e11,e11) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) ) ) ),
    introduced(predicate_definition,[f686]) ).

fof(f688,plain,
    ( ~ pd0_48
    | pd0_52
    | ( op1(e11,e11) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f686,f687]) ).

fof(f689,plain,
    ( ~ pd0_48
    | pd0_52
    | op1(e11,e11) = e11 ),
    inference(cnf_transformation,[status(esa)],[f688]) ).

fof(f694,plain,
    ( ~ pd0_49
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) )
    | ( op1(e10,e13) = e10
      & op1(e13,e10) = e10
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) )
    | ( op1(e11,e10) = e11
      & op1(e10,e11) = e11
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e11,e11) = e11
      & op1(e11,e11) = e11
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f661]) ).

fof(f695,plain,
    ( pd0_53
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) ) ) ),
    introduced(predicate_definition,[f694]) ).

fof(f696,plain,
    ( ~ pd0_49
    | pd0_53
    | ( op1(e11,e11) = e11
      & op1(e11,e11) = e11
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f694,f695]) ).

fof(f697,plain,
    ( ~ pd0_49
    | pd0_53
    | op1(e11,e11) = e11 ),
    inference(cnf_transformation,[status(esa)],[f696]) ).

fof(f703,plain,
    ( ~ pd0_50
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) )
    | ( op2(e20,e20) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) )
    | ( op2(e21,e21) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e21,e21) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f670]) ).

fof(f704,plain,
    ( pd0_54
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e20,e20) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) )
      | ( op2(e21,e21) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) ) ) ),
    introduced(predicate_definition,[f703]) ).

fof(f705,plain,
    ( ~ pd0_50
    | pd0_54
    | ( op2(e21,e21) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f703,f704]) ).

fof(f706,plain,
    ( ~ pd0_50
    | pd0_54
    | op2(e21,e21) = e21 ),
    inference(cnf_transformation,[status(esa)],[f705]) ).

fof(f711,plain,
    ( ~ pd0_51
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) )
    | ( op2(e20,e23) = e20
      & op2(e23,e20) = e20
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) )
    | ( op2(e21,e20) = e21
      & op2(e20,e21) = e21
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e21,e21) = e21
      & op2(e21,e21) = e21
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f678]) ).

fof(f712,plain,
    ( pd0_55
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) ) ) ),
    introduced(predicate_definition,[f711]) ).

fof(f713,plain,
    ( ~ pd0_51
    | pd0_55
    | ( op2(e21,e21) = e21
      & op2(e21,e21) = e21
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f711,f712]) ).

fof(f714,plain,
    ( ~ pd0_51
    | pd0_55
    | op2(e21,e21) = e21 ),
    inference(cnf_transformation,[status(esa)],[f713]) ).

fof(f720,plain,
    ( ~ pd0_52
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) )
    | ( op1(e10,e10) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) )
    | ( op1(e11,e11) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f687]) ).

fof(f721,plain,
    ( pd0_56
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) )
      | ( op1(e10,e10) = e13
        & ( op1(e10,e10) != e13
          | op1(e10,e13) = e10 )
        & ( op1(e11,e11) != e13
          | op1(e11,e13) = e11 )
        & ( op1(e12,e12) != e13
          | op1(e12,e13) = e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) = e13 ) ) ) ),
    introduced(predicate_definition,[f720]) ).

fof(f722,plain,
    ( ~ pd0_52
    | pd0_56
    | ( op1(e11,e11) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f720,f721]) ).

fof(f725,plain,
    ( ~ pd0_52
    | pd0_56
    | op1(e11,e11) != e10
    | op1(e11,e10) = e11 ),
    inference(cnf_transformation,[status(esa)],[f722]) ).

fof(f727,plain,
    ( ~ pd0_52
    | pd0_56
    | op1(e13,e13) != e10
    | op1(e13,e10) = e13 ),
    inference(cnf_transformation,[status(esa)],[f722]) ).

fof(f728,plain,
    ( ~ pd0_53
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) )
    | ( op1(e10,e13) = e10
      & op1(e13,e10) = e10
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) )
    | ( op1(e11,e10) = e11
      & op1(e10,e11) = e11
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f695]) ).

fof(f729,plain,
    ( pd0_57
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & ( op1(e13,e10) != e13
          | op1(e13,e13) != e10 )
        & ( op1(e13,e11) != e13
          | op1(e13,e13) != e11 )
        & ( op1(e13,e12) != e13
          | op1(e13,e13) != e12 )
        & ( op1(e13,e13) != e13
          | op1(e13,e13) != e13 ) ) ) ),
    introduced(predicate_definition,[f728]) ).

fof(f730,plain,
    ( ~ pd0_53
    | pd0_57
    | ( op1(e11,e10) = e11
      & op1(e10,e11) = e11
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f728,f729]) ).

fof(f731,plain,
    ( ~ pd0_53
    | pd0_57
    | op1(e11,e10) = e11 ),
    inference(cnf_transformation,[status(esa)],[f730]) ).

fof(f732,plain,
    ( ~ pd0_53
    | pd0_57
    | op1(e10,e11) = e11 ),
    inference(cnf_transformation,[status(esa)],[f730]) ).

fof(f733,plain,
    ( ~ pd0_53
    | pd0_57
    | op1(e10,e10) != e10
    | op1(e10,e10) != e10 ),
    inference(cnf_transformation,[status(esa)],[f730]) ).

fof(f737,plain,
    ( ~ pd0_54
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) )
    | ( op2(e20,e20) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) )
    | ( op2(e21,e21) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f704]) ).

fof(f738,plain,
    ( pd0_58
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) )
      | ( op2(e20,e20) = e23
        & ( op2(e20,e20) != e23
          | op2(e20,e23) = e20 )
        & ( op2(e21,e21) != e23
          | op2(e21,e23) = e21 )
        & ( op2(e22,e22) != e23
          | op2(e22,e23) = e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) = e23 ) ) ) ),
    introduced(predicate_definition,[f737]) ).

fof(f739,plain,
    ( ~ pd0_54
    | pd0_58
    | ( op2(e21,e21) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f737,f738]) ).

fof(f742,plain,
    ( ~ pd0_54
    | pd0_58
    | op2(e21,e21) != e20
    | op2(e21,e20) = e21 ),
    inference(cnf_transformation,[status(esa)],[f739]) ).

fof(f744,plain,
    ( ~ pd0_54
    | pd0_58
    | op2(e23,e23) != e20
    | op2(e23,e20) = e23 ),
    inference(cnf_transformation,[status(esa)],[f739]) ).

fof(f745,plain,
    ( ~ pd0_55
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) )
    | ( op2(e20,e23) = e20
      & op2(e23,e20) = e20
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) )
    | ( op2(e21,e20) = e21
      & op2(e20,e21) = e21
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f712]) ).

fof(f746,plain,
    ( pd0_59
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & ( op2(e23,e20) != e23
          | op2(e23,e23) != e20 )
        & ( op2(e23,e21) != e23
          | op2(e23,e23) != e21 )
        & ( op2(e23,e22) != e23
          | op2(e23,e23) != e22 )
        & ( op2(e23,e23) != e23
          | op2(e23,e23) != e23 ) ) ) ),
    introduced(predicate_definition,[f745]) ).

fof(f747,plain,
    ( ~ pd0_55
    | pd0_59
    | ( op2(e21,e20) = e21
      & op2(e20,e21) = e21
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f745,f746]) ).

fof(f748,plain,
    ( ~ pd0_55
    | pd0_59
    | op2(e21,e20) = e21 ),
    inference(cnf_transformation,[status(esa)],[f747]) ).

fof(f749,plain,
    ( ~ pd0_55
    | pd0_59
    | op2(e20,e21) = e21 ),
    inference(cnf_transformation,[status(esa)],[f747]) ).

fof(f750,plain,
    ( ~ pd0_55
    | pd0_59
    | op2(e20,e20) != e20
    | op2(e20,e20) != e20 ),
    inference(cnf_transformation,[status(esa)],[f747]) ).

fof(f753,plain,
    ( ~ pd0_55
    | pd0_59
    | op2(e20,e23) != e20
    | op2(e20,e20) != e23 ),
    inference(cnf_transformation,[status(esa)],[f747]) ).

fof(f754,plain,
    ( ~ pd0_56
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) )
    | ( op1(e10,e10) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f721]) ).

fof(f755,plain,
    ( pd0_60
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) )
      | ( op1(e10,e10) = e12
        & ( op1(e10,e10) != e12
          | op1(e10,e12) = e10 )
        & ( op1(e11,e11) != e12
          | op1(e11,e12) = e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) = e12 )
        & ( op1(e13,e13) != e12
          | op1(e13,e12) = e13 ) ) ) ),
    introduced(predicate_definition,[f754]) ).

fof(f756,plain,
    ( ~ pd0_56
    | pd0_60
    | ( op1(e10,e10) = e13
      & ( op1(e10,e10) != e13
        | op1(e10,e13) = e10 )
      & ( op1(e11,e11) != e13
        | op1(e11,e13) = e11 )
      & ( op1(e12,e12) != e13
        | op1(e12,e13) = e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) = e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f754,f755]) ).

fof(f757,plain,
    ( ~ pd0_56
    | pd0_60
    | op1(e10,e10) = e13 ),
    inference(cnf_transformation,[status(esa)],[f756]) ).

fof(f758,plain,
    ( ~ pd0_56
    | pd0_60
    | op1(e10,e10) != e13
    | op1(e10,e13) = e10 ),
    inference(cnf_transformation,[status(esa)],[f756]) ).

fof(f762,plain,
    ( ~ pd0_57
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) )
    | ( op1(e10,e13) = e10
      & op1(e13,e10) = e10
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f729]) ).

fof(f763,plain,
    ( pd0_61
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & ( op1(e12,e10) != e12
          | op1(e12,e12) != e10 )
        & ( op1(e12,e11) != e12
          | op1(e12,e12) != e11 )
        & ( op1(e12,e12) != e12
          | op1(e12,e12) != e12 )
        & ( op1(e12,e13) != e12
          | op1(e12,e12) != e13 ) ) ) ),
    introduced(predicate_definition,[f762]) ).

fof(f764,plain,
    ( ~ pd0_57
    | pd0_61
    | ( op1(e10,e13) = e10
      & op1(e13,e10) = e10
      & ( op1(e13,e10) != e13
        | op1(e13,e13) != e10 )
      & ( op1(e13,e11) != e13
        | op1(e13,e13) != e11 )
      & ( op1(e13,e12) != e13
        | op1(e13,e13) != e12 )
      & ( op1(e13,e13) != e13
        | op1(e13,e13) != e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f762,f763]) ).

fof(f765,plain,
    ( ~ pd0_57
    | pd0_61
    | op1(e10,e13) = e10 ),
    inference(cnf_transformation,[status(esa)],[f764]) ).

fof(f766,plain,
    ( ~ pd0_57
    | pd0_61
    | op1(e13,e10) = e10 ),
    inference(cnf_transformation,[status(esa)],[f764]) ).

fof(f769,plain,
    ( ~ pd0_57
    | pd0_61
    | op1(e13,e12) != e13
    | op1(e13,e13) != e12 ),
    inference(cnf_transformation,[status(esa)],[f764]) ).

fof(f770,plain,
    ( ~ pd0_57
    | pd0_61
    | op1(e13,e13) != e13
    | op1(e13,e13) != e13 ),
    inference(cnf_transformation,[status(esa)],[f764]) ).

fof(f771,plain,
    ( ~ pd0_58
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) )
    | ( op2(e20,e20) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f738]) ).

fof(f772,plain,
    ( pd0_62
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) )
      | ( op2(e20,e20) = e22
        & ( op2(e20,e20) != e22
          | op2(e20,e22) = e20 )
        & ( op2(e21,e21) != e22
          | op2(e21,e22) = e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) = e22 )
        & ( op2(e23,e23) != e22
          | op2(e23,e22) = e23 ) ) ) ),
    introduced(predicate_definition,[f771]) ).

fof(f773,plain,
    ( ~ pd0_58
    | pd0_62
    | ( op2(e20,e20) = e23
      & ( op2(e20,e20) != e23
        | op2(e20,e23) = e20 )
      & ( op2(e21,e21) != e23
        | op2(e21,e23) = e21 )
      & ( op2(e22,e22) != e23
        | op2(e22,e23) = e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) = e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f771,f772]) ).

fof(f774,plain,
    ( ~ pd0_58
    | pd0_62
    | op2(e20,e20) = e23 ),
    inference(cnf_transformation,[status(esa)],[f773]) ).

fof(f775,plain,
    ( ~ pd0_58
    | pd0_62
    | op2(e20,e20) != e23
    | op2(e20,e23) = e20 ),
    inference(cnf_transformation,[status(esa)],[f773]) ).

fof(f779,plain,
    ( ~ pd0_59
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) )
    | ( op2(e20,e23) = e20
      & op2(e23,e20) = e20
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f746]) ).

fof(f780,plain,
    ( pd0_63
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & ( op2(e22,e20) != e22
          | op2(e22,e22) != e20 )
        & ( op2(e22,e21) != e22
          | op2(e22,e22) != e21 )
        & ( op2(e22,e22) != e22
          | op2(e22,e22) != e22 )
        & ( op2(e22,e23) != e22
          | op2(e22,e22) != e23 ) ) ) ),
    introduced(predicate_definition,[f779]) ).

fof(f781,plain,
    ( ~ pd0_59
    | pd0_63
    | ( op2(e20,e23) = e20
      & op2(e23,e20) = e20
      & ( op2(e23,e20) != e23
        | op2(e23,e23) != e20 )
      & ( op2(e23,e21) != e23
        | op2(e23,e23) != e21 )
      & ( op2(e23,e22) != e23
        | op2(e23,e23) != e22 )
      & ( op2(e23,e23) != e23
        | op2(e23,e23) != e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f779,f780]) ).

fof(f782,plain,
    ( ~ pd0_59
    | pd0_63
    | op2(e20,e23) = e20 ),
    inference(cnf_transformation,[status(esa)],[f781]) ).

fof(f783,plain,
    ( ~ pd0_59
    | pd0_63
    | op2(e23,e20) = e20 ),
    inference(cnf_transformation,[status(esa)],[f781]) ).

fof(f788,plain,
    ( ~ pd0_60
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) )
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f755]) ).

fof(f789,plain,
    ( pd0_64
   => ( ( op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) = e10 )
        & ( op1(e11,e11) != e10
          | op1(e11,e10) = e11 )
        & ( op1(e12,e12) != e10
          | op1(e12,e10) = e12 )
        & ( op1(e13,e13) != e10
          | op1(e13,e10) = e13 ) )
      | ( op1(e10,e10) = e11
        & ( op1(e10,e10) != e11
          | op1(e10,e11) = e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) = e11 )
        & ( op1(e12,e12) != e11
          | op1(e12,e11) = e12 )
        & ( op1(e13,e13) != e11
          | op1(e13,e11) = e13 ) ) ) ),
    introduced(predicate_definition,[f788]) ).

fof(f790,plain,
    ( ~ pd0_60
    | pd0_64
    | ( op1(e10,e10) = e12
      & ( op1(e10,e10) != e12
        | op1(e10,e12) = e10 )
      & ( op1(e11,e11) != e12
        | op1(e11,e12) = e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) = e12 )
      & ( op1(e13,e13) != e12
        | op1(e13,e12) = e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f788,f789]) ).

fof(f791,plain,
    ( ~ pd0_60
    | pd0_64
    | op1(e10,e10) = e12 ),
    inference(cnf_transformation,[status(esa)],[f790]) ).

fof(f792,plain,
    ( ~ pd0_60
    | pd0_64
    | op1(e10,e10) != e12
    | op1(e10,e12) = e10 ),
    inference(cnf_transformation,[status(esa)],[f790]) ).

fof(f795,plain,
    ( ~ pd0_60
    | pd0_64
    | op1(e13,e13) != e12
    | op1(e13,e12) = e13 ),
    inference(cnf_transformation,[status(esa)],[f790]) ).

fof(f796,plain,
    ( ~ pd0_61
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) )
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f763]) ).

fof(f797,plain,
    ( pd0_65
   => ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & ( op1(e10,e10) != e10
          | op1(e10,e10) != e10 )
        & ( op1(e10,e11) != e10
          | op1(e10,e10) != e11 )
        & ( op1(e10,e12) != e10
          | op1(e10,e10) != e12 )
        & ( op1(e10,e13) != e10
          | op1(e10,e10) != e13 ) )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & ( op1(e11,e10) != e11
          | op1(e11,e11) != e10 )
        & ( op1(e11,e11) != e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e12) != e11
          | op1(e11,e11) != e12 )
        & ( op1(e11,e13) != e11
          | op1(e11,e11) != e13 ) ) ) ),
    introduced(predicate_definition,[f796]) ).

fof(f798,plain,
    ( ~ pd0_61
    | pd0_65
    | ( op1(e10,e12) = e10
      & op1(e12,e10) = e10
      & ( op1(e12,e10) != e12
        | op1(e12,e12) != e10 )
      & ( op1(e12,e11) != e12
        | op1(e12,e12) != e11 )
      & ( op1(e12,e12) != e12
        | op1(e12,e12) != e12 )
      & ( op1(e12,e13) != e12
        | op1(e12,e12) != e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f796,f797]) ).

fof(f799,plain,
    ( ~ pd0_61
    | pd0_65
    | op1(e10,e12) = e10 ),
    inference(cnf_transformation,[status(esa)],[f798]) ).

fof(f800,plain,
    ( ~ pd0_61
    | pd0_65
    | op1(e12,e10) = e10 ),
    inference(cnf_transformation,[status(esa)],[f798]) ).

fof(f805,plain,
    ( ~ pd0_62
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) )
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f772]) ).

fof(f806,plain,
    ( pd0_66
   => ( ( op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) = e20 )
        & ( op2(e21,e21) != e20
          | op2(e21,e20) = e21 )
        & ( op2(e22,e22) != e20
          | op2(e22,e20) = e22 )
        & ( op2(e23,e23) != e20
          | op2(e23,e20) = e23 ) )
      | ( op2(e20,e20) = e21
        & ( op2(e20,e20) != e21
          | op2(e20,e21) = e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) = e21 )
        & ( op2(e22,e22) != e21
          | op2(e22,e21) = e22 )
        & ( op2(e23,e23) != e21
          | op2(e23,e21) = e23 ) ) ) ),
    introduced(predicate_definition,[f805]) ).

fof(f807,plain,
    ( ~ pd0_62
    | pd0_66
    | ( op2(e20,e20) = e22
      & ( op2(e20,e20) != e22
        | op2(e20,e22) = e20 )
      & ( op2(e21,e21) != e22
        | op2(e21,e22) = e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) = e22 )
      & ( op2(e23,e23) != e22
        | op2(e23,e22) = e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f805,f806]) ).

fof(f808,plain,
    ( ~ pd0_62
    | pd0_66
    | op2(e20,e20) = e22 ),
    inference(cnf_transformation,[status(esa)],[f807]) ).

fof(f809,plain,
    ( ~ pd0_62
    | pd0_66
    | op2(e20,e20) != e22
    | op2(e20,e22) = e20 ),
    inference(cnf_transformation,[status(esa)],[f807]) ).

fof(f813,plain,
    ( ~ pd0_63
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) )
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f780]) ).

fof(f814,plain,
    ( pd0_67
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & ( op2(e20,e20) != e20
          | op2(e20,e20) != e20 )
        & ( op2(e20,e21) != e20
          | op2(e20,e20) != e21 )
        & ( op2(e20,e22) != e20
          | op2(e20,e20) != e22 )
        & ( op2(e20,e23) != e20
          | op2(e20,e20) != e23 ) )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & ( op2(e21,e20) != e21
          | op2(e21,e21) != e20 )
        & ( op2(e21,e21) != e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e22) != e21
          | op2(e21,e21) != e22 )
        & ( op2(e21,e23) != e21
          | op2(e21,e21) != e23 ) ) ) ),
    introduced(predicate_definition,[f813]) ).

fof(f815,plain,
    ( ~ pd0_63
    | pd0_67
    | ( op2(e20,e22) = e20
      & op2(e22,e20) = e20
      & ( op2(e22,e20) != e22
        | op2(e22,e22) != e20 )
      & ( op2(e22,e21) != e22
        | op2(e22,e22) != e21 )
      & ( op2(e22,e22) != e22
        | op2(e22,e22) != e22 )
      & ( op2(e22,e23) != e22
        | op2(e22,e22) != e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f813,f814]) ).

fof(f816,plain,
    ( ~ pd0_63
    | pd0_67
    | op2(e20,e22) = e20 ),
    inference(cnf_transformation,[status(esa)],[f815]) ).

fof(f817,plain,
    ( ~ pd0_63
    | pd0_67
    | op2(e22,e20) = e20 ),
    inference(cnf_transformation,[status(esa)],[f815]) ).

fof(f822,plain,
    ( ~ pd0_64
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) )
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f789]) ).

fof(f823,plain,
    ( pd0_68
   => ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) ) ),
    introduced(predicate_definition,[f822]) ).

fof(f824,plain,
    ( ~ pd0_64
    | pd0_68
    | ( op1(e10,e10) = e11
      & ( op1(e10,e10) != e11
        | op1(e10,e11) = e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) = e11 )
      & ( op1(e12,e12) != e11
        | op1(e12,e11) = e12 )
      & ( op1(e13,e13) != e11
        | op1(e13,e11) = e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f822,f823]) ).

fof(f825,plain,
    ( ~ pd0_64
    | pd0_68
    | op1(e10,e10) = e11 ),
    inference(cnf_transformation,[status(esa)],[f824]) ).

fof(f826,plain,
    ( ~ pd0_64
    | pd0_68
    | op1(e10,e10) != e11
    | op1(e10,e11) = e10 ),
    inference(cnf_transformation,[status(esa)],[f824]) ).

fof(f828,plain,
    ( ~ pd0_64
    | pd0_68
    | op1(e12,e12) != e11
    | op1(e12,e11) = e12 ),
    inference(cnf_transformation,[status(esa)],[f824]) ).

fof(f830,plain,
    ( ~ pd0_65
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) )
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f797]) ).

fof(f831,plain,
    ( pd0_69
   => ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) ) ),
    introduced(predicate_definition,[f830]) ).

fof(f832,plain,
    ( ~ pd0_65
    | pd0_69
    | ( op1(e10,e11) = e10
      & op1(e11,e10) = e10
      & ( op1(e11,e10) != e11
        | op1(e11,e11) != e10 )
      & ( op1(e11,e11) != e11
        | op1(e11,e11) != e11 )
      & ( op1(e11,e12) != e11
        | op1(e11,e11) != e12 )
      & ( op1(e11,e13) != e11
        | op1(e11,e11) != e13 ) ) ),
    inference(formula_renaming,[status(thm)],[f830,f831]) ).

fof(f833,plain,
    ( ~ pd0_65
    | pd0_69
    | op1(e10,e11) = e10 ),
    inference(cnf_transformation,[status(esa)],[f832]) ).

fof(f834,plain,
    ( ~ pd0_65
    | pd0_69
    | op1(e11,e10) = e10 ),
    inference(cnf_transformation,[status(esa)],[f832]) ).

fof(f835,plain,
    ( ~ pd0_65
    | pd0_69
    | op1(e11,e10) != e11
    | op1(e11,e11) != e10 ),
    inference(cnf_transformation,[status(esa)],[f832]) ).

fof(f839,plain,
    ( ~ pd0_66
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) )
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f806]) ).

fof(f840,plain,
    ( pd0_70
   => ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) ) ),
    introduced(predicate_definition,[f839]) ).

fof(f841,plain,
    ( ~ pd0_66
    | pd0_70
    | ( op2(e20,e20) = e21
      & ( op2(e20,e20) != e21
        | op2(e20,e21) = e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) = e21 )
      & ( op2(e22,e22) != e21
        | op2(e22,e21) = e22 )
      & ( op2(e23,e23) != e21
        | op2(e23,e21) = e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f839,f840]) ).

fof(f845,plain,
    ( ~ pd0_66
    | pd0_70
    | op2(e22,e22) != e21
    | op2(e22,e21) = e22 ),
    inference(cnf_transformation,[status(esa)],[f841]) ).

fof(f847,plain,
    ( ~ pd0_67
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) )
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f814]) ).

fof(f848,plain,
    ( pd0_71
   => ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) ) ),
    introduced(predicate_definition,[f847]) ).

fof(f849,plain,
    ( ~ pd0_67
    | pd0_71
    | ( op2(e20,e21) = e20
      & op2(e21,e20) = e20
      & ( op2(e21,e20) != e21
        | op2(e21,e21) != e20 )
      & ( op2(e21,e21) != e21
        | op2(e21,e21) != e21 )
      & ( op2(e21,e22) != e21
        | op2(e21,e21) != e22 )
      & ( op2(e21,e23) != e21
        | op2(e21,e21) != e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f847,f848]) ).

fof(f851,plain,
    ( ~ pd0_67
    | pd0_71
    | op2(e21,e20) = e20 ),
    inference(cnf_transformation,[status(esa)],[f849]) ).

fof(f852,plain,
    ( ~ pd0_67
    | pd0_71
    | op2(e21,e20) != e21
    | op2(e21,e21) != e20 ),
    inference(cnf_transformation,[status(esa)],[f849]) ).

fof(f856,plain,
    ( ~ pd0_68
    | ( op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) = e10 )
      & ( op1(e11,e11) != e10
        | op1(e11,e10) = e11 )
      & ( op1(e12,e12) != e10
        | op1(e12,e10) = e12 )
      & ( op1(e13,e13) != e10
        | op1(e13,e10) = e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f823]) ).

fof(f857,plain,
    ( ~ pd0_68
    | op1(e10,e10) = e10 ),
    inference(cnf_transformation,[status(esa)],[f856]) ).

fof(f859,plain,
    ( ~ pd0_68
    | op1(e11,e11) != e10
    | op1(e11,e10) = e11 ),
    inference(cnf_transformation,[status(esa)],[f856]) ).

fof(f861,plain,
    ( ~ pd0_68
    | op1(e13,e13) != e10
    | op1(e13,e10) = e13 ),
    inference(cnf_transformation,[status(esa)],[f856]) ).

fof(f862,plain,
    ( ~ pd0_69
    | ( op1(e10,e10) = e10
      & op1(e10,e10) = e10
      & ( op1(e10,e10) != e10
        | op1(e10,e10) != e10 )
      & ( op1(e10,e11) != e10
        | op1(e10,e10) != e11 )
      & ( op1(e10,e12) != e10
        | op1(e10,e10) != e12 )
      & ( op1(e10,e13) != e10
        | op1(e10,e10) != e13 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f831]) ).

fof(f863,plain,
    ( ~ pd0_69
    | op1(e10,e10) = e10 ),
    inference(cnf_transformation,[status(esa)],[f862]) ).

fof(f865,plain,
    ( ~ pd0_69
    | op1(e10,e10) != e10
    | op1(e10,e10) != e10 ),
    inference(cnf_transformation,[status(esa)],[f862]) ).

fof(f867,plain,
    ( ~ pd0_69
    | op1(e10,e12) != e10
    | op1(e10,e10) != e12 ),
    inference(cnf_transformation,[status(esa)],[f862]) ).

fof(f868,plain,
    ( ~ pd0_69
    | op1(e10,e13) != e10
    | op1(e10,e10) != e13 ),
    inference(cnf_transformation,[status(esa)],[f862]) ).

fof(f869,plain,
    ( ~ pd0_70
    | ( op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) = e20 )
      & ( op2(e21,e21) != e20
        | op2(e21,e20) = e21 )
      & ( op2(e22,e22) != e20
        | op2(e22,e20) = e22 )
      & ( op2(e23,e23) != e20
        | op2(e23,e20) = e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f840]) ).

fof(f870,plain,
    ( ~ pd0_70
    | op2(e20,e20) = e20 ),
    inference(cnf_transformation,[status(esa)],[f869]) ).

fof(f872,plain,
    ( ~ pd0_70
    | op2(e21,e21) != e20
    | op2(e21,e20) = e21 ),
    inference(cnf_transformation,[status(esa)],[f869]) ).

fof(f875,plain,
    ( ~ pd0_71
    | ( op2(e20,e20) = e20
      & op2(e20,e20) = e20
      & ( op2(e20,e20) != e20
        | op2(e20,e20) != e20 )
      & ( op2(e20,e21) != e20
        | op2(e20,e20) != e21 )
      & ( op2(e20,e22) != e20
        | op2(e20,e20) != e22 )
      & ( op2(e20,e23) != e20
        | op2(e20,e20) != e23 ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f848]) ).

fof(f876,plain,
    ( ~ pd0_71
    | op2(e20,e20) = e20 ),
    inference(cnf_transformation,[status(esa)],[f875]) ).

fof(f878,plain,
    ( ~ pd0_71
    | op2(e20,e20) != e20
    | op2(e20,e20) != e20 ),
    inference(cnf_transformation,[status(esa)],[f875]) ).

fof(f882,plain,
    ( spl0_0
  <=> op1(e10,e10) = e10 ),
    introduced(split_symbol_definition) ).

fof(f885,plain,
    ( spl0_1
  <=> op1(e10,e10) = e11 ),
    introduced(split_symbol_definition) ).

fof(f888,plain,
    ( spl0_2
  <=> op1(e10,e10) = e12 ),
    introduced(split_symbol_definition) ).

fof(f889,plain,
    ( op1(e10,e10) = e12
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f888]) ).

fof(f891,plain,
    ( spl0_3
  <=> op1(e10,e10) = e13 ),
    introduced(split_symbol_definition) ).

fof(f892,plain,
    ( op1(e10,e10) = e13
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f891]) ).

fof(f894,plain,
    ( spl0_0
    | spl0_1
    | spl0_2
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f20,f882,f885,f888,f891]) ).

fof(f895,plain,
    ( spl0_4
  <=> op1(e10,e11) = e10 ),
    introduced(split_symbol_definition) ).

fof(f898,plain,
    ( spl0_5
  <=> op1(e10,e11) = e11 ),
    introduced(split_symbol_definition) ).

fof(f899,plain,
    ( op1(e10,e11) = e11
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f898]) ).

fof(f901,plain,
    ( spl0_6
  <=> op1(e10,e11) = e12 ),
    introduced(split_symbol_definition) ).

fof(f902,plain,
    ( op1(e10,e11) = e12
    | ~ spl0_6 ),
    inference(component_clause,[status(thm)],[f901]) ).

fof(f904,plain,
    ( spl0_7
  <=> op1(e10,e11) = e13 ),
    introduced(split_symbol_definition) ).

fof(f905,plain,
    ( op1(e10,e11) = e13
    | ~ spl0_7 ),
    inference(component_clause,[status(thm)],[f904]) ).

fof(f907,plain,
    ( spl0_4
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(split_clause,[status(thm)],[f21,f895,f898,f901,f904]) ).

fof(f908,plain,
    ( spl0_8
  <=> op1(e10,e12) = e10 ),
    introduced(split_symbol_definition) ).

fof(f909,plain,
    ( op1(e10,e12) = e10
    | ~ spl0_8 ),
    inference(component_clause,[status(thm)],[f908]) ).

fof(f911,plain,
    ( spl0_9
  <=> op1(e10,e12) = e11 ),
    introduced(split_symbol_definition) ).

fof(f912,plain,
    ( op1(e10,e12) = e11
    | ~ spl0_9 ),
    inference(component_clause,[status(thm)],[f911]) ).

fof(f914,plain,
    ( spl0_10
  <=> op1(e10,e12) = e12 ),
    introduced(split_symbol_definition) ).

fof(f915,plain,
    ( op1(e10,e12) = e12
    | ~ spl0_10 ),
    inference(component_clause,[status(thm)],[f914]) ).

fof(f917,plain,
    ( spl0_11
  <=> op1(e10,e12) = e13 ),
    introduced(split_symbol_definition) ).

fof(f918,plain,
    ( op1(e10,e12) = e13
    | ~ spl0_11 ),
    inference(component_clause,[status(thm)],[f917]) ).

fof(f920,plain,
    ( spl0_8
    | spl0_9
    | spl0_10
    | spl0_11 ),
    inference(split_clause,[status(thm)],[f22,f908,f911,f914,f917]) ).

fof(f921,plain,
    ( spl0_12
  <=> op1(e10,e13) = e10 ),
    introduced(split_symbol_definition) ).

fof(f922,plain,
    ( op1(e10,e13) = e10
    | ~ spl0_12 ),
    inference(component_clause,[status(thm)],[f921]) ).

fof(f924,plain,
    ( spl0_13
  <=> op1(e10,e13) = e11 ),
    introduced(split_symbol_definition) ).

fof(f925,plain,
    ( op1(e10,e13) = e11
    | ~ spl0_13 ),
    inference(component_clause,[status(thm)],[f924]) ).

fof(f927,plain,
    ( spl0_14
  <=> op1(e10,e13) = e12 ),
    introduced(split_symbol_definition) ).

fof(f928,plain,
    ( op1(e10,e13) = e12
    | ~ spl0_14 ),
    inference(component_clause,[status(thm)],[f927]) ).

fof(f930,plain,
    ( spl0_15
  <=> op1(e10,e13) = e13 ),
    introduced(split_symbol_definition) ).

fof(f931,plain,
    ( op1(e10,e13) = e13
    | ~ spl0_15 ),
    inference(component_clause,[status(thm)],[f930]) ).

fof(f933,plain,
    ( spl0_12
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(split_clause,[status(thm)],[f23,f921,f924,f927,f930]) ).

fof(f934,plain,
    ( spl0_16
  <=> op1(e11,e10) = e10 ),
    introduced(split_symbol_definition) ).

fof(f935,plain,
    ( op1(e11,e10) = e10
    | ~ spl0_16 ),
    inference(component_clause,[status(thm)],[f934]) ).

fof(f937,plain,
    ( spl0_17
  <=> op1(e11,e10) = e11 ),
    introduced(split_symbol_definition) ).

fof(f938,plain,
    ( op1(e11,e10) = e11
    | ~ spl0_17 ),
    inference(component_clause,[status(thm)],[f937]) ).

fof(f940,plain,
    ( spl0_18
  <=> op1(e11,e10) = e12 ),
    introduced(split_symbol_definition) ).

fof(f941,plain,
    ( op1(e11,e10) = e12
    | ~ spl0_18 ),
    inference(component_clause,[status(thm)],[f940]) ).

fof(f943,plain,
    ( spl0_19
  <=> op1(e11,e10) = e13 ),
    introduced(split_symbol_definition) ).

fof(f944,plain,
    ( op1(e11,e10) = e13
    | ~ spl0_19 ),
    inference(component_clause,[status(thm)],[f943]) ).

fof(f946,plain,
    ( spl0_16
    | spl0_17
    | spl0_18
    | spl0_19 ),
    inference(split_clause,[status(thm)],[f24,f934,f937,f940,f943]) ).

fof(f947,plain,
    ( spl0_20
  <=> op1(e11,e11) = e10 ),
    introduced(split_symbol_definition) ).

fof(f950,plain,
    ( spl0_21
  <=> op1(e11,e11) = e11 ),
    introduced(split_symbol_definition) ).

fof(f951,plain,
    ( op1(e11,e11) = e11
    | ~ spl0_21 ),
    inference(component_clause,[status(thm)],[f950]) ).

fof(f953,plain,
    ( spl0_22
  <=> op1(e11,e11) = e12 ),
    introduced(split_symbol_definition) ).

fof(f954,plain,
    ( op1(e11,e11) = e12
    | ~ spl0_22 ),
    inference(component_clause,[status(thm)],[f953]) ).

fof(f956,plain,
    ( spl0_23
  <=> op1(e11,e11) = e13 ),
    introduced(split_symbol_definition) ).

fof(f957,plain,
    ( op1(e11,e11) = e13
    | ~ spl0_23 ),
    inference(component_clause,[status(thm)],[f956]) ).

fof(f959,plain,
    ( spl0_20
    | spl0_21
    | spl0_22
    | spl0_23 ),
    inference(split_clause,[status(thm)],[f25,f947,f950,f953,f956]) ).

fof(f960,plain,
    ( spl0_24
  <=> op1(e11,e12) = e10 ),
    introduced(split_symbol_definition) ).

fof(f961,plain,
    ( op1(e11,e12) = e10
    | ~ spl0_24 ),
    inference(component_clause,[status(thm)],[f960]) ).

fof(f963,plain,
    ( spl0_25
  <=> op1(e11,e12) = e11 ),
    introduced(split_symbol_definition) ).

fof(f966,plain,
    ( spl0_26
  <=> op1(e11,e12) = e12 ),
    introduced(split_symbol_definition) ).

fof(f967,plain,
    ( op1(e11,e12) = e12
    | ~ spl0_26 ),
    inference(component_clause,[status(thm)],[f966]) ).

fof(f969,plain,
    ( spl0_27
  <=> op1(e11,e12) = e13 ),
    introduced(split_symbol_definition) ).

fof(f970,plain,
    ( op1(e11,e12) = e13
    | ~ spl0_27 ),
    inference(component_clause,[status(thm)],[f969]) ).

fof(f972,plain,
    ( spl0_24
    | spl0_25
    | spl0_26
    | spl0_27 ),
    inference(split_clause,[status(thm)],[f26,f960,f963,f966,f969]) ).

fof(f973,plain,
    ( spl0_28
  <=> op1(e11,e13) = e10 ),
    introduced(split_symbol_definition) ).

fof(f974,plain,
    ( op1(e11,e13) = e10
    | ~ spl0_28 ),
    inference(component_clause,[status(thm)],[f973]) ).

fof(f976,plain,
    ( spl0_29
  <=> op1(e11,e13) = e11 ),
    introduced(split_symbol_definition) ).

fof(f977,plain,
    ( op1(e11,e13) = e11
    | ~ spl0_29 ),
    inference(component_clause,[status(thm)],[f976]) ).

fof(f979,plain,
    ( spl0_30
  <=> op1(e11,e13) = e12 ),
    introduced(split_symbol_definition) ).

fof(f982,plain,
    ( spl0_31
  <=> op1(e11,e13) = e13 ),
    introduced(split_symbol_definition) ).

fof(f983,plain,
    ( op1(e11,e13) = e13
    | ~ spl0_31 ),
    inference(component_clause,[status(thm)],[f982]) ).

fof(f985,plain,
    ( spl0_28
    | spl0_29
    | spl0_30
    | spl0_31 ),
    inference(split_clause,[status(thm)],[f27,f973,f976,f979,f982]) ).

fof(f986,plain,
    ( spl0_32
  <=> op1(e12,e10) = e10 ),
    introduced(split_symbol_definition) ).

fof(f987,plain,
    ( op1(e12,e10) = e10
    | ~ spl0_32 ),
    inference(component_clause,[status(thm)],[f986]) ).

fof(f989,plain,
    ( spl0_33
  <=> op1(e12,e10) = e11 ),
    introduced(split_symbol_definition) ).

fof(f990,plain,
    ( op1(e12,e10) = e11
    | ~ spl0_33 ),
    inference(component_clause,[status(thm)],[f989]) ).

fof(f992,plain,
    ( spl0_34
  <=> op1(e12,e10) = e12 ),
    introduced(split_symbol_definition) ).

fof(f993,plain,
    ( op1(e12,e10) = e12
    | ~ spl0_34 ),
    inference(component_clause,[status(thm)],[f992]) ).

fof(f995,plain,
    ( spl0_35
  <=> op1(e12,e10) = e13 ),
    introduced(split_symbol_definition) ).

fof(f996,plain,
    ( op1(e12,e10) = e13
    | ~ spl0_35 ),
    inference(component_clause,[status(thm)],[f995]) ).

fof(f998,plain,
    ( spl0_32
    | spl0_33
    | spl0_34
    | spl0_35 ),
    inference(split_clause,[status(thm)],[f28,f986,f989,f992,f995]) ).

fof(f999,plain,
    ( spl0_36
  <=> op1(e12,e11) = e10 ),
    introduced(split_symbol_definition) ).

fof(f1000,plain,
    ( op1(e12,e11) = e10
    | ~ spl0_36 ),
    inference(component_clause,[status(thm)],[f999]) ).

fof(f1002,plain,
    ( spl0_37
  <=> op1(e12,e11) = e11 ),
    introduced(split_symbol_definition) ).

fof(f1003,plain,
    ( op1(e12,e11) = e11
    | ~ spl0_37 ),
    inference(component_clause,[status(thm)],[f1002]) ).

fof(f1005,plain,
    ( spl0_38
  <=> op1(e12,e11) = e12 ),
    introduced(split_symbol_definition) ).

fof(f1006,plain,
    ( op1(e12,e11) = e12
    | ~ spl0_38 ),
    inference(component_clause,[status(thm)],[f1005]) ).

fof(f1008,plain,
    ( spl0_39
  <=> op1(e12,e11) = e13 ),
    introduced(split_symbol_definition) ).

fof(f1011,plain,
    ( spl0_36
    | spl0_37
    | spl0_38
    | spl0_39 ),
    inference(split_clause,[status(thm)],[f29,f999,f1002,f1005,f1008]) ).

fof(f1012,plain,
    ( spl0_40
  <=> op1(e12,e12) = e10 ),
    introduced(split_symbol_definition) ).

fof(f1013,plain,
    ( op1(e12,e12) = e10
    | ~ spl0_40 ),
    inference(component_clause,[status(thm)],[f1012]) ).

fof(f1015,plain,
    ( spl0_41
  <=> op1(e12,e12) = e11 ),
    introduced(split_symbol_definition) ).

fof(f1017,plain,
    ( op1(e12,e12) != e11
    | spl0_41 ),
    inference(component_clause,[status(thm)],[f1015]) ).

fof(f1018,plain,
    ( spl0_42
  <=> op1(e12,e12) = e12 ),
    introduced(split_symbol_definition) ).

fof(f1019,plain,
    ( op1(e12,e12) = e12
    | ~ spl0_42 ),
    inference(component_clause,[status(thm)],[f1018]) ).

fof(f1021,plain,
    ( spl0_43
  <=> op1(e12,e12) = e13 ),
    introduced(split_symbol_definition) ).

fof(f1022,plain,
    ( op1(e12,e12) = e13
    | ~ spl0_43 ),
    inference(component_clause,[status(thm)],[f1021]) ).

fof(f1025,plain,
    ( spl0_44
  <=> op1(e12,e13) = e10 ),
    introduced(split_symbol_definition) ).

fof(f1026,plain,
    ( op1(e12,e13) = e10
    | ~ spl0_44 ),
    inference(component_clause,[status(thm)],[f1025]) ).

fof(f1028,plain,
    ( spl0_45
  <=> op1(e12,e13) = e11 ),
    introduced(split_symbol_definition) ).

fof(f1029,plain,
    ( op1(e12,e13) = e11
    | ~ spl0_45 ),
    inference(component_clause,[status(thm)],[f1028]) ).

fof(f1031,plain,
    ( spl0_46
  <=> op1(e12,e13) = e12 ),
    introduced(split_symbol_definition) ).

fof(f1032,plain,
    ( op1(e12,e13) = e12
    | ~ spl0_46 ),
    inference(component_clause,[status(thm)],[f1031]) ).

fof(f1034,plain,
    ( spl0_47
  <=> op1(e12,e13) = e13 ),
    introduced(split_symbol_definition) ).

fof(f1035,plain,
    ( op1(e12,e13) = e13
    | ~ spl0_47 ),
    inference(component_clause,[status(thm)],[f1034]) ).

fof(f1037,plain,
    ( spl0_44
    | spl0_45
    | spl0_46
    | spl0_47 ),
    inference(split_clause,[status(thm)],[f31,f1025,f1028,f1031,f1034]) ).

fof(f1038,plain,
    ( spl0_48
  <=> op1(e13,e10) = e10 ),
    introduced(split_symbol_definition) ).

fof(f1039,plain,
    ( op1(e13,e10) = e10
    | ~ spl0_48 ),
    inference(component_clause,[status(thm)],[f1038]) ).

fof(f1041,plain,
    ( spl0_49
  <=> op1(e13,e10) = e11 ),
    introduced(split_symbol_definition) ).

fof(f1042,plain,
    ( op1(e13,e10) = e11
    | ~ spl0_49 ),
    inference(component_clause,[status(thm)],[f1041]) ).

fof(f1044,plain,
    ( spl0_50
  <=> op1(e13,e10) = e12 ),
    introduced(split_symbol_definition) ).

fof(f1045,plain,
    ( op1(e13,e10) = e12
    | ~ spl0_50 ),
    inference(component_clause,[status(thm)],[f1044]) ).

fof(f1047,plain,
    ( spl0_51
  <=> op1(e13,e10) = e13 ),
    introduced(split_symbol_definition) ).

fof(f1048,plain,
    ( op1(e13,e10) = e13
    | ~ spl0_51 ),
    inference(component_clause,[status(thm)],[f1047]) ).

fof(f1050,plain,
    ( spl0_48
    | spl0_49
    | spl0_50
    | spl0_51 ),
    inference(split_clause,[status(thm)],[f32,f1038,f1041,f1044,f1047]) ).

fof(f1051,plain,
    ( spl0_52
  <=> op1(e13,e11) = e10 ),
    introduced(split_symbol_definition) ).

fof(f1052,plain,
    ( op1(e13,e11) = e10
    | ~ spl0_52 ),
    inference(component_clause,[status(thm)],[f1051]) ).

fof(f1054,plain,
    ( spl0_53
  <=> op1(e13,e11) = e11 ),
    introduced(split_symbol_definition) ).

fof(f1055,plain,
    ( op1(e13,e11) = e11
    | ~ spl0_53 ),
    inference(component_clause,[status(thm)],[f1054]) ).

fof(f1057,plain,
    ( spl0_54
  <=> op1(e13,e11) = e12 ),
    introduced(split_symbol_definition) ).

fof(f1058,plain,
    ( op1(e13,e11) = e12
    | ~ spl0_54 ),
    inference(component_clause,[status(thm)],[f1057]) ).

fof(f1060,plain,
    ( spl0_55
  <=> op1(e13,e11) = e13 ),
    introduced(split_symbol_definition) ).

fof(f1061,plain,
    ( op1(e13,e11) = e13
    | ~ spl0_55 ),
    inference(component_clause,[status(thm)],[f1060]) ).

fof(f1063,plain,
    ( spl0_52
    | spl0_53
    | spl0_54
    | spl0_55 ),
    inference(split_clause,[status(thm)],[f33,f1051,f1054,f1057,f1060]) ).

fof(f1064,plain,
    ( spl0_56
  <=> op1(e13,e12) = e10 ),
    introduced(split_symbol_definition) ).

fof(f1065,plain,
    ( op1(e13,e12) = e10
    | ~ spl0_56 ),
    inference(component_clause,[status(thm)],[f1064]) ).

fof(f1067,plain,
    ( spl0_57
  <=> op1(e13,e12) = e11 ),
    introduced(split_symbol_definition) ).

fof(f1068,plain,
    ( op1(e13,e12) = e11
    | ~ spl0_57 ),
    inference(component_clause,[status(thm)],[f1067]) ).

fof(f1070,plain,
    ( spl0_58
  <=> op1(e13,e12) = e12 ),
    introduced(split_symbol_definition) ).

fof(f1071,plain,
    ( op1(e13,e12) = e12
    | ~ spl0_58 ),
    inference(component_clause,[status(thm)],[f1070]) ).

fof(f1073,plain,
    ( spl0_59
  <=> op1(e13,e12) = e13 ),
    introduced(split_symbol_definition) ).

fof(f1074,plain,
    ( op1(e13,e12) = e13
    | ~ spl0_59 ),
    inference(component_clause,[status(thm)],[f1073]) ).

fof(f1076,plain,
    ( spl0_56
    | spl0_57
    | spl0_58
    | spl0_59 ),
    inference(split_clause,[status(thm)],[f34,f1064,f1067,f1070,f1073]) ).

fof(f1077,plain,
    ( spl0_60
  <=> op1(e13,e13) = e10 ),
    introduced(split_symbol_definition) ).

fof(f1078,plain,
    ( op1(e13,e13) = e10
    | ~ spl0_60 ),
    inference(component_clause,[status(thm)],[f1077]) ).

fof(f1080,plain,
    ( spl0_61
  <=> op1(e13,e13) = e11 ),
    introduced(split_symbol_definition) ).

fof(f1081,plain,
    ( op1(e13,e13) = e11
    | ~ spl0_61 ),
    inference(component_clause,[status(thm)],[f1080]) ).

fof(f1083,plain,
    ( spl0_62
  <=> op1(e13,e13) = e12 ),
    introduced(split_symbol_definition) ).

fof(f1084,plain,
    ( op1(e13,e13) = e12
    | ~ spl0_62 ),
    inference(component_clause,[status(thm)],[f1083]) ).

fof(f1086,plain,
    ( spl0_63
  <=> op1(e13,e13) = e13 ),
    introduced(split_symbol_definition) ).

fof(f1087,plain,
    ( op1(e13,e13) = e13
    | ~ spl0_63 ),
    inference(component_clause,[status(thm)],[f1086]) ).

fof(f1089,plain,
    ( spl0_60
    | spl0_61
    | spl0_62
    | spl0_63 ),
    inference(split_clause,[status(thm)],[f35,f1077,f1080,f1083,f1086]) ).

fof(f1090,plain,
    ( spl0_0
    | spl0_4
    | spl0_8
    | spl0_12 ),
    inference(split_clause,[status(thm)],[f36,f882,f895,f908,f921]) ).

fof(f1092,plain,
    ( spl0_1
    | spl0_5
    | spl0_9
    | spl0_13 ),
    inference(split_clause,[status(thm)],[f38,f885,f898,f911,f924]) ).

fof(f1093,plain,
    ( spl0_1
    | spl0_17
    | spl0_33
    | spl0_49 ),
    inference(split_clause,[status(thm)],[f39,f885,f937,f989,f1041]) ).

fof(f1094,plain,
    ( spl0_2
    | spl0_6
    | spl0_10
    | spl0_14 ),
    inference(split_clause,[status(thm)],[f40,f888,f901,f914,f927]) ).

fof(f1095,plain,
    ( spl0_2
    | spl0_18
    | spl0_34
    | spl0_50 ),
    inference(split_clause,[status(thm)],[f41,f888,f940,f992,f1044]) ).

fof(f1096,plain,
    ( spl0_3
    | spl0_7
    | spl0_11
    | spl0_15 ),
    inference(split_clause,[status(thm)],[f42,f891,f904,f917,f930]) ).

fof(f1097,plain,
    ( spl0_3
    | spl0_19
    | spl0_35
    | spl0_51 ),
    inference(split_clause,[status(thm)],[f43,f891,f943,f995,f1047]) ).

fof(f1100,plain,
    ( spl0_17
    | spl0_21
    | spl0_25
    | spl0_29 ),
    inference(split_clause,[status(thm)],[f46,f937,f950,f963,f976]) ).

fof(f1101,plain,
    ( spl0_5
    | spl0_21
    | spl0_37
    | spl0_53 ),
    inference(split_clause,[status(thm)],[f47,f898,f950,f1002,f1054]) ).

fof(f1102,plain,
    ( spl0_18
    | spl0_22
    | spl0_26
    | spl0_30 ),
    inference(split_clause,[status(thm)],[f48,f940,f953,f966,f979]) ).

fof(f1103,plain,
    ( spl0_6
    | spl0_22
    | spl0_38
    | spl0_54 ),
    inference(split_clause,[status(thm)],[f49,f901,f953,f1005,f1057]) ).

fof(f1104,plain,
    ( spl0_19
    | spl0_23
    | spl0_27
    | spl0_31 ),
    inference(split_clause,[status(thm)],[f50,f943,f956,f969,f982]) ).

fof(f1106,plain,
    ( spl0_32
    | spl0_36
    | spl0_40
    | spl0_44 ),
    inference(split_clause,[status(thm)],[f52,f986,f999,f1012,f1025]) ).

fof(f1107,plain,
    ( spl0_8
    | spl0_24
    | spl0_40
    | spl0_56 ),
    inference(split_clause,[status(thm)],[f53,f908,f960,f1012,f1064]) ).

fof(f1110,plain,
    ( spl0_34
    | spl0_38
    | spl0_42
    | spl0_46 ),
    inference(split_clause,[status(thm)],[f56,f992,f1005,f1018,f1031]) ).

fof(f1111,plain,
    ( spl0_10
    | spl0_26
    | spl0_42
    | spl0_58 ),
    inference(split_clause,[status(thm)],[f57,f914,f966,f1018,f1070]) ).

fof(f1113,plain,
    ( spl0_11
    | spl0_27
    | spl0_43
    | spl0_59 ),
    inference(split_clause,[status(thm)],[f59,f917,f969,f1021,f1073]) ).

fof(f1114,plain,
    ( spl0_48
    | spl0_52
    | spl0_56
    | spl0_60 ),
    inference(split_clause,[status(thm)],[f60,f1038,f1051,f1064,f1077]) ).

fof(f1115,plain,
    ( spl0_12
    | spl0_28
    | spl0_44
    | spl0_60 ),
    inference(split_clause,[status(thm)],[f61,f921,f973,f1025,f1077]) ).

fof(f1116,plain,
    ( spl0_49
    | spl0_53
    | spl0_57
    | spl0_61 ),
    inference(split_clause,[status(thm)],[f62,f1041,f1054,f1067,f1080]) ).

fof(f1117,plain,
    ( spl0_13
    | spl0_29
    | spl0_45
    | spl0_61 ),
    inference(split_clause,[status(thm)],[f63,f924,f976,f1028,f1080]) ).

fof(f1118,plain,
    ( spl0_50
    | spl0_54
    | spl0_58
    | spl0_62 ),
    inference(split_clause,[status(thm)],[f64,f1044,f1057,f1070,f1083]) ).

fof(f1120,plain,
    ( spl0_51
    | spl0_55
    | spl0_59
    | spl0_63 ),
    inference(split_clause,[status(thm)],[f66,f1047,f1060,f1073,f1086]) ).

fof(f1121,plain,
    ( spl0_15
    | spl0_31
    | spl0_47
    | spl0_63 ),
    inference(split_clause,[status(thm)],[f67,f930,f982,f1034,f1086]) ).

fof(f1122,plain,
    ( spl0_64
  <=> op2(e20,e20) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1123,plain,
    ( op2(e20,e20) = e20
    | ~ spl0_64 ),
    inference(component_clause,[status(thm)],[f1122]) ).

fof(f1125,plain,
    ( spl0_65
  <=> op2(e20,e20) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1128,plain,
    ( spl0_66
  <=> op2(e20,e20) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1129,plain,
    ( op2(e20,e20) = e22
    | ~ spl0_66 ),
    inference(component_clause,[status(thm)],[f1128]) ).

fof(f1131,plain,
    ( spl0_67
  <=> op2(e20,e20) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1132,plain,
    ( op2(e20,e20) = e23
    | ~ spl0_67 ),
    inference(component_clause,[status(thm)],[f1131]) ).

fof(f1134,plain,
    ( spl0_64
    | spl0_65
    | spl0_66
    | spl0_67 ),
    inference(split_clause,[status(thm)],[f68,f1122,f1125,f1128,f1131]) ).

fof(f1135,plain,
    ( spl0_68
  <=> op2(e20,e21) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1138,plain,
    ( spl0_69
  <=> op2(e20,e21) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1139,plain,
    ( op2(e20,e21) = e21
    | ~ spl0_69 ),
    inference(component_clause,[status(thm)],[f1138]) ).

fof(f1141,plain,
    ( spl0_70
  <=> op2(e20,e21) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1142,plain,
    ( op2(e20,e21) = e22
    | ~ spl0_70 ),
    inference(component_clause,[status(thm)],[f1141]) ).

fof(f1144,plain,
    ( spl0_71
  <=> op2(e20,e21) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1147,plain,
    ( spl0_68
    | spl0_69
    | spl0_70
    | spl0_71 ),
    inference(split_clause,[status(thm)],[f69,f1135,f1138,f1141,f1144]) ).

fof(f1148,plain,
    ( spl0_72
  <=> op2(e20,e22) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1149,plain,
    ( op2(e20,e22) = e20
    | ~ spl0_72 ),
    inference(component_clause,[status(thm)],[f1148]) ).

fof(f1151,plain,
    ( spl0_73
  <=> op2(e20,e22) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1152,plain,
    ( op2(e20,e22) = e21
    | ~ spl0_73 ),
    inference(component_clause,[status(thm)],[f1151]) ).

fof(f1154,plain,
    ( spl0_74
  <=> op2(e20,e22) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1155,plain,
    ( op2(e20,e22) = e22
    | ~ spl0_74 ),
    inference(component_clause,[status(thm)],[f1154]) ).

fof(f1157,plain,
    ( spl0_75
  <=> op2(e20,e22) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1158,plain,
    ( op2(e20,e22) = e23
    | ~ spl0_75 ),
    inference(component_clause,[status(thm)],[f1157]) ).

fof(f1160,plain,
    ( spl0_72
    | spl0_73
    | spl0_74
    | spl0_75 ),
    inference(split_clause,[status(thm)],[f70,f1148,f1151,f1154,f1157]) ).

fof(f1161,plain,
    ( spl0_76
  <=> op2(e20,e23) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1162,plain,
    ( op2(e20,e23) = e20
    | ~ spl0_76 ),
    inference(component_clause,[status(thm)],[f1161]) ).

fof(f1163,plain,
    ( op2(e20,e23) != e20
    | spl0_76 ),
    inference(component_clause,[status(thm)],[f1161]) ).

fof(f1164,plain,
    ( spl0_77
  <=> op2(e20,e23) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1165,plain,
    ( op2(e20,e23) = e21
    | ~ spl0_77 ),
    inference(component_clause,[status(thm)],[f1164]) ).

fof(f1167,plain,
    ( spl0_78
  <=> op2(e20,e23) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1168,plain,
    ( op2(e20,e23) = e22
    | ~ spl0_78 ),
    inference(component_clause,[status(thm)],[f1167]) ).

fof(f1170,plain,
    ( spl0_79
  <=> op2(e20,e23) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1171,plain,
    ( op2(e20,e23) = e23
    | ~ spl0_79 ),
    inference(component_clause,[status(thm)],[f1170]) ).

fof(f1173,plain,
    ( spl0_76
    | spl0_77
    | spl0_78
    | spl0_79 ),
    inference(split_clause,[status(thm)],[f71,f1161,f1164,f1167,f1170]) ).

fof(f1174,plain,
    ( spl0_80
  <=> op2(e21,e20) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1175,plain,
    ( op2(e21,e20) = e20
    | ~ spl0_80 ),
    inference(component_clause,[status(thm)],[f1174]) ).

fof(f1177,plain,
    ( spl0_81
  <=> op2(e21,e20) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1178,plain,
    ( op2(e21,e20) = e21
    | ~ spl0_81 ),
    inference(component_clause,[status(thm)],[f1177]) ).

fof(f1180,plain,
    ( spl0_82
  <=> op2(e21,e20) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1181,plain,
    ( op2(e21,e20) = e22
    | ~ spl0_82 ),
    inference(component_clause,[status(thm)],[f1180]) ).

fof(f1183,plain,
    ( spl0_83
  <=> op2(e21,e20) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1184,plain,
    ( op2(e21,e20) = e23
    | ~ spl0_83 ),
    inference(component_clause,[status(thm)],[f1183]) ).

fof(f1186,plain,
    ( spl0_80
    | spl0_81
    | spl0_82
    | spl0_83 ),
    inference(split_clause,[status(thm)],[f72,f1174,f1177,f1180,f1183]) ).

fof(f1187,plain,
    ( spl0_84
  <=> op2(e21,e21) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1190,plain,
    ( spl0_85
  <=> op2(e21,e21) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1191,plain,
    ( op2(e21,e21) = e21
    | ~ spl0_85 ),
    inference(component_clause,[status(thm)],[f1190]) ).

fof(f1193,plain,
    ( spl0_86
  <=> op2(e21,e21) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1194,plain,
    ( op2(e21,e21) = e22
    | ~ spl0_86 ),
    inference(component_clause,[status(thm)],[f1193]) ).

fof(f1196,plain,
    ( spl0_87
  <=> op2(e21,e21) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1197,plain,
    ( op2(e21,e21) = e23
    | ~ spl0_87 ),
    inference(component_clause,[status(thm)],[f1196]) ).

fof(f1199,plain,
    ( spl0_84
    | spl0_85
    | spl0_86
    | spl0_87 ),
    inference(split_clause,[status(thm)],[f73,f1187,f1190,f1193,f1196]) ).

fof(f1200,plain,
    ( spl0_88
  <=> op2(e21,e22) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1201,plain,
    ( op2(e21,e22) = e20
    | ~ spl0_88 ),
    inference(component_clause,[status(thm)],[f1200]) ).

fof(f1203,plain,
    ( spl0_89
  <=> op2(e21,e22) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1204,plain,
    ( op2(e21,e22) = e21
    | ~ spl0_89 ),
    inference(component_clause,[status(thm)],[f1203]) ).

fof(f1206,plain,
    ( spl0_90
  <=> op2(e21,e22) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1207,plain,
    ( op2(e21,e22) = e22
    | ~ spl0_90 ),
    inference(component_clause,[status(thm)],[f1206]) ).

fof(f1209,plain,
    ( spl0_91
  <=> op2(e21,e22) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1210,plain,
    ( op2(e21,e22) = e23
    | ~ spl0_91 ),
    inference(component_clause,[status(thm)],[f1209]) ).

fof(f1212,plain,
    ( spl0_88
    | spl0_89
    | spl0_90
    | spl0_91 ),
    inference(split_clause,[status(thm)],[f74,f1200,f1203,f1206,f1209]) ).

fof(f1213,plain,
    ( spl0_92
  <=> op2(e21,e23) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1214,plain,
    ( op2(e21,e23) = e20
    | ~ spl0_92 ),
    inference(component_clause,[status(thm)],[f1213]) ).

fof(f1216,plain,
    ( spl0_93
  <=> op2(e21,e23) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1217,plain,
    ( op2(e21,e23) = e21
    | ~ spl0_93 ),
    inference(component_clause,[status(thm)],[f1216]) ).

fof(f1219,plain,
    ( spl0_94
  <=> op2(e21,e23) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1220,plain,
    ( op2(e21,e23) = e22
    | ~ spl0_94 ),
    inference(component_clause,[status(thm)],[f1219]) ).

fof(f1222,plain,
    ( spl0_95
  <=> op2(e21,e23) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1223,plain,
    ( op2(e21,e23) = e23
    | ~ spl0_95 ),
    inference(component_clause,[status(thm)],[f1222]) ).

fof(f1225,plain,
    ( spl0_92
    | spl0_93
    | spl0_94
    | spl0_95 ),
    inference(split_clause,[status(thm)],[f75,f1213,f1216,f1219,f1222]) ).

fof(f1226,plain,
    ( spl0_96
  <=> op2(e22,e20) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1227,plain,
    ( op2(e22,e20) = e20
    | ~ spl0_96 ),
    inference(component_clause,[status(thm)],[f1226]) ).

fof(f1229,plain,
    ( spl0_97
  <=> op2(e22,e20) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1230,plain,
    ( op2(e22,e20) = e21
    | ~ spl0_97 ),
    inference(component_clause,[status(thm)],[f1229]) ).

fof(f1232,plain,
    ( spl0_98
  <=> op2(e22,e20) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1233,plain,
    ( op2(e22,e20) = e22
    | ~ spl0_98 ),
    inference(component_clause,[status(thm)],[f1232]) ).

fof(f1235,plain,
    ( spl0_99
  <=> op2(e22,e20) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1236,plain,
    ( op2(e22,e20) = e23
    | ~ spl0_99 ),
    inference(component_clause,[status(thm)],[f1235]) ).

fof(f1239,plain,
    ( spl0_100
  <=> op2(e22,e21) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1240,plain,
    ( op2(e22,e21) = e20
    | ~ spl0_100 ),
    inference(component_clause,[status(thm)],[f1239]) ).

fof(f1242,plain,
    ( spl0_101
  <=> op2(e22,e21) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1243,plain,
    ( op2(e22,e21) = e21
    | ~ spl0_101 ),
    inference(component_clause,[status(thm)],[f1242]) ).

fof(f1245,plain,
    ( spl0_102
  <=> op2(e22,e21) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1246,plain,
    ( op2(e22,e21) = e22
    | ~ spl0_102 ),
    inference(component_clause,[status(thm)],[f1245]) ).

fof(f1248,plain,
    ( spl0_103
  <=> op2(e22,e21) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1249,plain,
    ( op2(e22,e21) = e23
    | ~ spl0_103 ),
    inference(component_clause,[status(thm)],[f1248]) ).

fof(f1250,plain,
    ( op2(e22,e21) != e23
    | spl0_103 ),
    inference(component_clause,[status(thm)],[f1248]) ).

fof(f1252,plain,
    ( spl0_104
  <=> op2(e22,e22) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1253,plain,
    ( op2(e22,e22) = e20
    | ~ spl0_104 ),
    inference(component_clause,[status(thm)],[f1252]) ).

fof(f1255,plain,
    ( spl0_105
  <=> op2(e22,e22) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1257,plain,
    ( op2(e22,e22) != e21
    | spl0_105 ),
    inference(component_clause,[status(thm)],[f1255]) ).

fof(f1258,plain,
    ( spl0_106
  <=> op2(e22,e22) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1259,plain,
    ( op2(e22,e22) = e22
    | ~ spl0_106 ),
    inference(component_clause,[status(thm)],[f1258]) ).

fof(f1261,plain,
    ( spl0_107
  <=> op2(e22,e22) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1262,plain,
    ( op2(e22,e22) = e23
    | ~ spl0_107 ),
    inference(component_clause,[status(thm)],[f1261]) ).

fof(f1265,plain,
    ( spl0_108
  <=> op2(e22,e23) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1266,plain,
    ( op2(e22,e23) = e20
    | ~ spl0_108 ),
    inference(component_clause,[status(thm)],[f1265]) ).

fof(f1268,plain,
    ( spl0_109
  <=> op2(e22,e23) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1269,plain,
    ( op2(e22,e23) = e21
    | ~ spl0_109 ),
    inference(component_clause,[status(thm)],[f1268]) ).

fof(f1271,plain,
    ( spl0_110
  <=> op2(e22,e23) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1272,plain,
    ( op2(e22,e23) = e22
    | ~ spl0_110 ),
    inference(component_clause,[status(thm)],[f1271]) ).

fof(f1274,plain,
    ( spl0_111
  <=> op2(e22,e23) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1275,plain,
    ( op2(e22,e23) = e23
    | ~ spl0_111 ),
    inference(component_clause,[status(thm)],[f1274]) ).

fof(f1277,plain,
    ( spl0_108
    | spl0_109
    | spl0_110
    | spl0_111 ),
    inference(split_clause,[status(thm)],[f79,f1265,f1268,f1271,f1274]) ).

fof(f1278,plain,
    ( spl0_112
  <=> op2(e23,e20) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1279,plain,
    ( op2(e23,e20) = e20
    | ~ spl0_112 ),
    inference(component_clause,[status(thm)],[f1278]) ).

fof(f1281,plain,
    ( spl0_113
  <=> op2(e23,e20) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1282,plain,
    ( op2(e23,e20) = e21
    | ~ spl0_113 ),
    inference(component_clause,[status(thm)],[f1281]) ).

fof(f1284,plain,
    ( spl0_114
  <=> op2(e23,e20) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1285,plain,
    ( op2(e23,e20) = e22
    | ~ spl0_114 ),
    inference(component_clause,[status(thm)],[f1284]) ).

fof(f1287,plain,
    ( spl0_115
  <=> op2(e23,e20) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1288,plain,
    ( op2(e23,e20) = e23
    | ~ spl0_115 ),
    inference(component_clause,[status(thm)],[f1287]) ).

fof(f1290,plain,
    ( spl0_112
    | spl0_113
    | spl0_114
    | spl0_115 ),
    inference(split_clause,[status(thm)],[f80,f1278,f1281,f1284,f1287]) ).

fof(f1291,plain,
    ( spl0_116
  <=> op2(e23,e21) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1292,plain,
    ( op2(e23,e21) = e20
    | ~ spl0_116 ),
    inference(component_clause,[status(thm)],[f1291]) ).

fof(f1294,plain,
    ( spl0_117
  <=> op2(e23,e21) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1295,plain,
    ( op2(e23,e21) = e21
    | ~ spl0_117 ),
    inference(component_clause,[status(thm)],[f1294]) ).

fof(f1297,plain,
    ( spl0_118
  <=> op2(e23,e21) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1298,plain,
    ( op2(e23,e21) = e22
    | ~ spl0_118 ),
    inference(component_clause,[status(thm)],[f1297]) ).

fof(f1300,plain,
    ( spl0_119
  <=> op2(e23,e21) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1301,plain,
    ( op2(e23,e21) = e23
    | ~ spl0_119 ),
    inference(component_clause,[status(thm)],[f1300]) ).

fof(f1303,plain,
    ( spl0_116
    | spl0_117
    | spl0_118
    | spl0_119 ),
    inference(split_clause,[status(thm)],[f81,f1291,f1294,f1297,f1300]) ).

fof(f1304,plain,
    ( spl0_120
  <=> op2(e23,e22) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1305,plain,
    ( op2(e23,e22) = e20
    | ~ spl0_120 ),
    inference(component_clause,[status(thm)],[f1304]) ).

fof(f1307,plain,
    ( spl0_121
  <=> op2(e23,e22) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1308,plain,
    ( op2(e23,e22) = e21
    | ~ spl0_121 ),
    inference(component_clause,[status(thm)],[f1307]) ).

fof(f1310,plain,
    ( spl0_122
  <=> op2(e23,e22) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1311,plain,
    ( op2(e23,e22) = e22
    | ~ spl0_122 ),
    inference(component_clause,[status(thm)],[f1310]) ).

fof(f1313,plain,
    ( spl0_123
  <=> op2(e23,e22) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1314,plain,
    ( op2(e23,e22) = e23
    | ~ spl0_123 ),
    inference(component_clause,[status(thm)],[f1313]) ).

fof(f1316,plain,
    ( spl0_120
    | spl0_121
    | spl0_122
    | spl0_123 ),
    inference(split_clause,[status(thm)],[f82,f1304,f1307,f1310,f1313]) ).

fof(f1317,plain,
    ( spl0_124
  <=> op2(e23,e23) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1318,plain,
    ( op2(e23,e23) = e20
    | ~ spl0_124 ),
    inference(component_clause,[status(thm)],[f1317]) ).

fof(f1320,plain,
    ( spl0_125
  <=> op2(e23,e23) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1321,plain,
    ( op2(e23,e23) = e21
    | ~ spl0_125 ),
    inference(component_clause,[status(thm)],[f1320]) ).

fof(f1323,plain,
    ( spl0_126
  <=> op2(e23,e23) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1324,plain,
    ( op2(e23,e23) = e22
    | ~ spl0_126 ),
    inference(component_clause,[status(thm)],[f1323]) ).

fof(f1326,plain,
    ( spl0_127
  <=> op2(e23,e23) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1327,plain,
    ( op2(e23,e23) = e23
    | ~ spl0_127 ),
    inference(component_clause,[status(thm)],[f1326]) ).

fof(f1329,plain,
    ( spl0_124
    | spl0_125
    | spl0_126
    | spl0_127 ),
    inference(split_clause,[status(thm)],[f83,f1317,f1320,f1323,f1326]) ).

fof(f1330,plain,
    ( spl0_64
    | spl0_68
    | spl0_72
    | spl0_76 ),
    inference(split_clause,[status(thm)],[f84,f1122,f1135,f1148,f1161]) ).

fof(f1333,plain,
    ( spl0_65
    | spl0_81
    | spl0_97
    | spl0_113 ),
    inference(split_clause,[status(thm)],[f87,f1125,f1177,f1229,f1281]) ).

fof(f1334,plain,
    ( spl0_66
    | spl0_70
    | spl0_74
    | spl0_78 ),
    inference(split_clause,[status(thm)],[f88,f1128,f1141,f1154,f1167]) ).

fof(f1336,plain,
    ( spl0_67
    | spl0_71
    | spl0_75
    | spl0_79 ),
    inference(split_clause,[status(thm)],[f90,f1131,f1144,f1157,f1170]) ).

fof(f1341,plain,
    ( spl0_69
    | spl0_85
    | spl0_101
    | spl0_117 ),
    inference(split_clause,[status(thm)],[f95,f1138,f1190,f1242,f1294]) ).

fof(f1343,plain,
    ( spl0_70
    | spl0_86
    | spl0_102
    | spl0_118 ),
    inference(split_clause,[status(thm)],[f97,f1141,f1193,f1245,f1297]) ).

fof(f1346,plain,
    ( spl0_96
    | spl0_100
    | spl0_104
    | spl0_108 ),
    inference(split_clause,[status(thm)],[f100,f1226,f1239,f1252,f1265]) ).

fof(f1347,plain,
    ( spl0_72
    | spl0_88
    | spl0_104
    | spl0_120 ),
    inference(split_clause,[status(thm)],[f101,f1148,f1200,f1252,f1304]) ).

fof(f1350,plain,
    ( spl0_98
    | spl0_102
    | spl0_106
    | spl0_110 ),
    inference(split_clause,[status(thm)],[f104,f1232,f1245,f1258,f1271]) ).

fof(f1351,plain,
    ( spl0_74
    | spl0_90
    | spl0_106
    | spl0_122 ),
    inference(split_clause,[status(thm)],[f105,f1154,f1206,f1258,f1310]) ).

fof(f1353,plain,
    ( spl0_75
    | spl0_91
    | spl0_107
    | spl0_123 ),
    inference(split_clause,[status(thm)],[f107,f1157,f1209,f1261,f1313]) ).

fof(f1354,plain,
    ( spl0_112
    | spl0_116
    | spl0_120
    | spl0_124 ),
    inference(split_clause,[status(thm)],[f108,f1278,f1291,f1304,f1317]) ).

fof(f1355,plain,
    ( spl0_76
    | spl0_92
    | spl0_108
    | spl0_124 ),
    inference(split_clause,[status(thm)],[f109,f1161,f1213,f1265,f1317]) ).

fof(f1356,plain,
    ( spl0_113
    | spl0_117
    | spl0_121
    | spl0_125 ),
    inference(split_clause,[status(thm)],[f110,f1281,f1294,f1307,f1320]) ).

fof(f1357,plain,
    ( spl0_77
    | spl0_93
    | spl0_109
    | spl0_125 ),
    inference(split_clause,[status(thm)],[f111,f1164,f1216,f1268,f1320]) ).

fof(f1358,plain,
    ( spl0_114
    | spl0_118
    | spl0_122
    | spl0_126 ),
    inference(split_clause,[status(thm)],[f112,f1284,f1297,f1310,f1323]) ).

fof(f1359,plain,
    ( spl0_78
    | spl0_94
    | spl0_110
    | spl0_126 ),
    inference(split_clause,[status(thm)],[f113,f1167,f1219,f1271,f1323]) ).

fof(f1360,plain,
    ( spl0_115
    | spl0_119
    | spl0_123
    | spl0_127 ),
    inference(split_clause,[status(thm)],[f114,f1287,f1300,f1313,f1326]) ).

fof(f1361,plain,
    ( spl0_79
    | spl0_95
    | spl0_111
    | spl0_127 ),
    inference(split_clause,[status(thm)],[f115,f1170,f1222,f1274,f1326]) ).

fof(f1362,plain,
    ( spl0_128
  <=> pd0_0 ),
    introduced(split_symbol_definition) ).

fof(f1365,plain,
    ( spl0_128
    | spl0_63 ),
    inference(split_clause,[status(thm)],[f243,f1362,f1086]) ).

fof(f1366,plain,
    ( spl0_128
    | ~ spl0_3
    | spl0_12 ),
    inference(split_clause,[status(thm)],[f244,f1362,f891,f921]) ).

fof(f1370,plain,
    ( spl0_129
  <=> pd0_1 ),
    introduced(split_symbol_definition) ).

fof(f1373,plain,
    ( spl0_129
    | spl0_63 ),
    inference(split_clause,[status(thm)],[f248,f1370,f1086]) ).

fof(f1375,plain,
    ( spl0_129
    | ~ spl0_51
    | ~ spl0_60 ),
    inference(split_clause,[status(thm)],[f250,f1370,f1047,f1077]) ).

fof(f1376,plain,
    ( spl0_129
    | ~ spl0_55
    | ~ spl0_61 ),
    inference(split_clause,[status(thm)],[f251,f1370,f1060,f1080]) ).

fof(f1377,plain,
    ( spl0_129
    | ~ spl0_59
    | ~ spl0_62 ),
    inference(split_clause,[status(thm)],[f252,f1370,f1073,f1083]) ).

fof(f1378,plain,
    ( spl0_129
    | ~ spl0_63 ),
    inference(split_clause,[status(thm)],[f253,f1370,f1086]) ).

fof(f1379,plain,
    ( spl0_130
  <=> pd0_2 ),
    introduced(split_symbol_definition) ).

fof(f1382,plain,
    ( spl0_130
    | spl0_127 ),
    inference(split_clause,[status(thm)],[f257,f1379,f1326]) ).

fof(f1383,plain,
    ( spl0_130
    | ~ spl0_67
    | spl0_76 ),
    inference(split_clause,[status(thm)],[f258,f1379,f1131,f1161]) ).

fof(f1387,plain,
    ( spl0_131
  <=> pd0_3 ),
    introduced(split_symbol_definition) ).

fof(f1390,plain,
    ( spl0_131
    | spl0_127 ),
    inference(split_clause,[status(thm)],[f262,f1387,f1326]) ).

fof(f1394,plain,
    ( spl0_131
    | ~ spl0_123
    | ~ spl0_126 ),
    inference(split_clause,[status(thm)],[f266,f1387,f1313,f1323]) ).

fof(f1395,plain,
    ( spl0_131
    | ~ spl0_127 ),
    inference(split_clause,[status(thm)],[f267,f1387,f1326]) ).

fof(f1396,plain,
    ( spl0_132
  <=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1398,plain,
    ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
    | spl0_132 ),
    inference(component_clause,[status(thm)],[f1396]) ).

fof(f1399,plain,
    ( spl0_133
  <=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1401,plain,
    ( h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
    | spl0_133 ),
    inference(component_clause,[status(thm)],[f1399]) ).

fof(f1402,plain,
    ( spl0_134
  <=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1404,plain,
    ( h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
    | spl0_134 ),
    inference(component_clause,[status(thm)],[f1402]) ).

fof(f1405,plain,
    ( spl0_135
  <=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1407,plain,
    ( h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
    | spl0_135 ),
    inference(component_clause,[status(thm)],[f1405]) ).

fof(f1408,plain,
    ( spl0_136
  <=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1410,plain,
    ( h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
    | spl0_136 ),
    inference(component_clause,[status(thm)],[f1408]) ).

fof(f1411,plain,
    ( spl0_137
  <=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1413,plain,
    ( h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
    | spl0_137 ),
    inference(component_clause,[status(thm)],[f1411]) ).

fof(f1414,plain,
    ( spl0_138
  <=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1416,plain,
    ( h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
    | spl0_138 ),
    inference(component_clause,[status(thm)],[f1414]) ).

fof(f1417,plain,
    ( spl0_139
  <=> h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1419,plain,
    ( h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
    | spl0_139 ),
    inference(component_clause,[status(thm)],[f1417]) ).

fof(f1420,plain,
    ( spl0_140
  <=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1422,plain,
    ( h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
    | spl0_140 ),
    inference(component_clause,[status(thm)],[f1420]) ).

fof(f1423,plain,
    ( spl0_141
  <=> h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1425,plain,
    ( h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
    | spl0_141 ),
    inference(component_clause,[status(thm)],[f1423]) ).

fof(f1426,plain,
    ( spl0_142
  <=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1428,plain,
    ( h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
    | spl0_142 ),
    inference(component_clause,[status(thm)],[f1426]) ).

fof(f1429,plain,
    ( spl0_143
  <=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1431,plain,
    ( h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
    | spl0_143 ),
    inference(component_clause,[status(thm)],[f1429]) ).

fof(f1432,plain,
    ( spl0_144
  <=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1434,plain,
    ( h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
    | spl0_144 ),
    inference(component_clause,[status(thm)],[f1432]) ).

fof(f1435,plain,
    ( spl0_145
  <=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1437,plain,
    ( h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
    | spl0_145 ),
    inference(component_clause,[status(thm)],[f1435]) ).

fof(f1438,plain,
    ( spl0_146
  <=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1440,plain,
    ( h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
    | spl0_146 ),
    inference(component_clause,[status(thm)],[f1438]) ).

fof(f1441,plain,
    ( spl0_147
  <=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1442,plain,
    ( h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
    | ~ spl0_147 ),
    inference(component_clause,[status(thm)],[f1441]) ).

fof(f1443,plain,
    ( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
    | spl0_147 ),
    inference(component_clause,[status(thm)],[f1441]) ).

fof(f1444,plain,
    ( spl0_148
  <=> pd0_4 ),
    introduced(split_symbol_definition) ).

fof(f1447,plain,
    ( spl0_149
  <=> pd0_5 ),
    introduced(split_symbol_definition) ).

fof(f1450,plain,
    ( spl0_150
  <=> pd0_6 ),
    introduced(split_symbol_definition) ).

fof(f1457,plain,
    ( spl0_152
  <=> h1(e11) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1459,plain,
    ( h1(e11) != e23
    | spl0_152 ),
    inference(component_clause,[status(thm)],[f1457]) ).

fof(f1460,plain,
    ( ~ spl0_132
    | ~ spl0_133
    | ~ spl0_134
    | ~ spl0_135
    | ~ spl0_136
    | ~ spl0_137
    | ~ 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_152 ),
    inference(split_clause,[status(thm)],[f305,f1396,f1399,f1402,f1405,f1408,f1411,f1414,f1417,f1420,f1423,f1426,f1429,f1432,f1435,f1438,f1441,f1444,f1447,f1450,f1457]) ).

fof(f1465,plain,
    ( spl0_154
  <=> h1(e13) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1467,plain,
    ( h1(e13) != e23
    | spl0_154 ),
    inference(component_clause,[status(thm)],[f1465]) ).

fof(f1468,plain,
    ( ~ spl0_132
    | ~ spl0_133
    | ~ spl0_134
    | ~ spl0_135
    | ~ spl0_136
    | ~ spl0_137
    | ~ 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_154 ),
    inference(split_clause,[status(thm)],[f307,f1396,f1399,f1402,f1405,f1408,f1411,f1414,f1417,f1420,f1423,f1426,f1429,f1432,f1435,f1438,f1441,f1444,f1447,f1450,f1465]) ).

fof(f1469,plain,
    ( spl0_155
  <=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1471,plain,
    ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
    | spl0_155 ),
    inference(component_clause,[status(thm)],[f1469]) ).

fof(f1472,plain,
    ( spl0_156
  <=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1474,plain,
    ( h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
    | spl0_156 ),
    inference(component_clause,[status(thm)],[f1472]) ).

fof(f1475,plain,
    ( spl0_157
  <=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1477,plain,
    ( h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
    | spl0_157 ),
    inference(component_clause,[status(thm)],[f1475]) ).

fof(f1478,plain,
    ( spl0_158
  <=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1480,plain,
    ( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
    | spl0_158 ),
    inference(component_clause,[status(thm)],[f1478]) ).

fof(f1481,plain,
    ( spl0_159
  <=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1483,plain,
    ( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
    | spl0_159 ),
    inference(component_clause,[status(thm)],[f1481]) ).

fof(f1484,plain,
    ( spl0_160
  <=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1486,plain,
    ( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
    | spl0_160 ),
    inference(component_clause,[status(thm)],[f1484]) ).

fof(f1487,plain,
    ( spl0_161
  <=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1489,plain,
    ( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
    | spl0_161 ),
    inference(component_clause,[status(thm)],[f1487]) ).

fof(f1490,plain,
    ( spl0_162
  <=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1492,plain,
    ( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
    | spl0_162 ),
    inference(component_clause,[status(thm)],[f1490]) ).

fof(f1493,plain,
    ( spl0_163
  <=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1495,plain,
    ( h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
    | spl0_163 ),
    inference(component_clause,[status(thm)],[f1493]) ).

fof(f1496,plain,
    ( spl0_164
  <=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1498,plain,
    ( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
    | spl0_164 ),
    inference(component_clause,[status(thm)],[f1496]) ).

fof(f1499,plain,
    ( spl0_165
  <=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1501,plain,
    ( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
    | spl0_165 ),
    inference(component_clause,[status(thm)],[f1499]) ).

fof(f1502,plain,
    ( spl0_166
  <=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1504,plain,
    ( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
    | spl0_166 ),
    inference(component_clause,[status(thm)],[f1502]) ).

fof(f1505,plain,
    ( spl0_167
  <=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1506,plain,
    ( h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
    | ~ spl0_167 ),
    inference(component_clause,[status(thm)],[f1505]) ).

fof(f1507,plain,
    ( h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
    | spl0_167 ),
    inference(component_clause,[status(thm)],[f1505]) ).

fof(f1508,plain,
    ( spl0_168
  <=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1510,plain,
    ( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
    | spl0_168 ),
    inference(component_clause,[status(thm)],[f1508]) ).

fof(f1511,plain,
    ( spl0_169
  <=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1513,plain,
    ( h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
    | spl0_169 ),
    inference(component_clause,[status(thm)],[f1511]) ).

fof(f1514,plain,
    ( spl0_170
  <=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1516,plain,
    ( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
    | spl0_170 ),
    inference(component_clause,[status(thm)],[f1514]) ).

fof(f1517,plain,
    ( spl0_171
  <=> pd0_7 ),
    introduced(split_symbol_definition) ).

fof(f1520,plain,
    ( spl0_172
  <=> pd0_8 ),
    introduced(split_symbol_definition) ).

fof(f1523,plain,
    ( spl0_173
  <=> pd0_9 ),
    introduced(split_symbol_definition) ).

fof(f1526,plain,
    ( spl0_174
  <=> h2(e10) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1528,plain,
    ( h2(e10) != e23
    | spl0_174 ),
    inference(component_clause,[status(thm)],[f1526]) ).

fof(f1538,plain,
    ( spl0_177
  <=> h2(e13) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1539,plain,
    ( h2(e13) = e23
    | ~ spl0_177 ),
    inference(component_clause,[status(thm)],[f1538]) ).

fof(f1540,plain,
    ( h2(e13) != e23
    | spl0_177 ),
    inference(component_clause,[status(thm)],[f1538]) ).

fof(f1541,plain,
    ( ~ spl0_155
    | ~ spl0_156
    | ~ spl0_157
    | ~ spl0_158
    | ~ spl0_159
    | ~ spl0_160
    | ~ 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_177 ),
    inference(split_clause,[status(thm)],[f311,f1469,f1472,f1475,f1478,f1481,f1484,f1487,f1490,f1493,f1496,f1499,f1502,f1505,f1508,f1511,f1514,f1517,f1520,f1523,f1538]) ).

fof(f1542,plain,
    ( spl0_178
  <=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1544,plain,
    ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
    | spl0_178 ),
    inference(component_clause,[status(thm)],[f1542]) ).

fof(f1545,plain,
    ( spl0_179
  <=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1547,plain,
    ( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | spl0_179 ),
    inference(component_clause,[status(thm)],[f1545]) ).

fof(f1548,plain,
    ( spl0_180
  <=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1550,plain,
    ( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
    | spl0_180 ),
    inference(component_clause,[status(thm)],[f1548]) ).

fof(f1551,plain,
    ( spl0_181
  <=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1553,plain,
    ( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
    | spl0_181 ),
    inference(component_clause,[status(thm)],[f1551]) ).

fof(f1554,plain,
    ( spl0_182
  <=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1555,plain,
    ( h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
    | ~ spl0_182 ),
    inference(component_clause,[status(thm)],[f1554]) ).

fof(f1556,plain,
    ( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | spl0_182 ),
    inference(component_clause,[status(thm)],[f1554]) ).

fof(f1557,plain,
    ( spl0_183
  <=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1559,plain,
    ( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | spl0_183 ),
    inference(component_clause,[status(thm)],[f1557]) ).

fof(f1560,plain,
    ( spl0_184
  <=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1562,plain,
    ( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
    | spl0_184 ),
    inference(component_clause,[status(thm)],[f1560]) ).

fof(f1563,plain,
    ( spl0_185
  <=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1565,plain,
    ( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
    | spl0_185 ),
    inference(component_clause,[status(thm)],[f1563]) ).

fof(f1566,plain,
    ( spl0_186
  <=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1568,plain,
    ( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
    | spl0_186 ),
    inference(component_clause,[status(thm)],[f1566]) ).

fof(f1569,plain,
    ( spl0_187
  <=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1571,plain,
    ( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
    | spl0_187 ),
    inference(component_clause,[status(thm)],[f1569]) ).

fof(f1572,plain,
    ( spl0_188
  <=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1574,plain,
    ( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
    | spl0_188 ),
    inference(component_clause,[status(thm)],[f1572]) ).

fof(f1575,plain,
    ( spl0_189
  <=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1577,plain,
    ( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
    | spl0_189 ),
    inference(component_clause,[status(thm)],[f1575]) ).

fof(f1578,plain,
    ( spl0_190
  <=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1580,plain,
    ( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
    | spl0_190 ),
    inference(component_clause,[status(thm)],[f1578]) ).

fof(f1581,plain,
    ( spl0_191
  <=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1583,plain,
    ( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
    | spl0_191 ),
    inference(component_clause,[status(thm)],[f1581]) ).

fof(f1584,plain,
    ( spl0_192
  <=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1586,plain,
    ( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
    | spl0_192 ),
    inference(component_clause,[status(thm)],[f1584]) ).

fof(f1587,plain,
    ( spl0_193
  <=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1588,plain,
    ( h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
    | ~ spl0_193 ),
    inference(component_clause,[status(thm)],[f1587]) ).

fof(f1589,plain,
    ( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
    | spl0_193 ),
    inference(component_clause,[status(thm)],[f1587]) ).

fof(f1590,plain,
    ( spl0_194
  <=> pd0_10 ),
    introduced(split_symbol_definition) ).

fof(f1593,plain,
    ( spl0_195
  <=> pd0_11 ),
    introduced(split_symbol_definition) ).

fof(f1596,plain,
    ( spl0_196
  <=> pd0_12 ),
    introduced(split_symbol_definition) ).

fof(f1611,plain,
    ( spl0_200
  <=> h3(e13) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1612,plain,
    ( h3(e13) = e23
    | ~ spl0_200 ),
    inference(component_clause,[status(thm)],[f1611]) ).

fof(f1613,plain,
    ( h3(e13) != e23
    | spl0_200 ),
    inference(component_clause,[status(thm)],[f1611]) ).

fof(f1614,plain,
    ( ~ spl0_178
    | ~ spl0_179
    | ~ spl0_180
    | ~ spl0_181
    | ~ spl0_182
    | ~ spl0_183
    | ~ spl0_184
    | ~ spl0_185
    | ~ spl0_186
    | ~ spl0_187
    | ~ spl0_188
    | ~ spl0_189
    | ~ spl0_190
    | ~ spl0_191
    | ~ spl0_192
    | ~ spl0_193
    | spl0_194
    | spl0_195
    | spl0_196
    | ~ spl0_200 ),
    inference(split_clause,[status(thm)],[f315,f1542,f1545,f1548,f1551,f1554,f1557,f1560,f1563,f1566,f1569,f1572,f1575,f1578,f1581,f1584,f1587,f1590,f1593,f1596,f1611]) ).

fof(f1615,plain,
    ( spl0_201
  <=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1617,plain,
    ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | spl0_201 ),
    inference(component_clause,[status(thm)],[f1615]) ).

fof(f1618,plain,
    ( spl0_202
  <=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1620,plain,
    ( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
    | spl0_202 ),
    inference(component_clause,[status(thm)],[f1618]) ).

fof(f1621,plain,
    ( spl0_203
  <=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1622,plain,
    ( h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    | ~ spl0_203 ),
    inference(component_clause,[status(thm)],[f1621]) ).

fof(f1623,plain,
    ( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | spl0_203 ),
    inference(component_clause,[status(thm)],[f1621]) ).

fof(f1624,plain,
    ( spl0_204
  <=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1626,plain,
    ( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | spl0_204 ),
    inference(component_clause,[status(thm)],[f1624]) ).

fof(f1627,plain,
    ( spl0_205
  <=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1629,plain,
    ( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
    | spl0_205 ),
    inference(component_clause,[status(thm)],[f1627]) ).

fof(f1630,plain,
    ( spl0_206
  <=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1632,plain,
    ( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | spl0_206 ),
    inference(component_clause,[status(thm)],[f1630]) ).

fof(f1633,plain,
    ( spl0_207
  <=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1635,plain,
    ( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
    | spl0_207 ),
    inference(component_clause,[status(thm)],[f1633]) ).

fof(f1636,plain,
    ( spl0_208
  <=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1638,plain,
    ( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
    | spl0_208 ),
    inference(component_clause,[status(thm)],[f1636]) ).

fof(f1639,plain,
    ( spl0_209
  <=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1641,plain,
    ( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | spl0_209 ),
    inference(component_clause,[status(thm)],[f1639]) ).

fof(f1642,plain,
    ( spl0_210
  <=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1644,plain,
    ( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
    | spl0_210 ),
    inference(component_clause,[status(thm)],[f1642]) ).

fof(f1645,plain,
    ( spl0_211
  <=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1647,plain,
    ( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
    | spl0_211 ),
    inference(component_clause,[status(thm)],[f1645]) ).

fof(f1648,plain,
    ( spl0_212
  <=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1650,plain,
    ( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
    | spl0_212 ),
    inference(component_clause,[status(thm)],[f1648]) ).

fof(f1651,plain,
    ( spl0_213
  <=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1653,plain,
    ( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    | spl0_213 ),
    inference(component_clause,[status(thm)],[f1651]) ).

fof(f1654,plain,
    ( spl0_214
  <=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1656,plain,
    ( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
    | spl0_214 ),
    inference(component_clause,[status(thm)],[f1654]) ).

fof(f1657,plain,
    ( spl0_215
  <=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1658,plain,
    ( h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
    | ~ spl0_215 ),
    inference(component_clause,[status(thm)],[f1657]) ).

fof(f1659,plain,
    ( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
    | spl0_215 ),
    inference(component_clause,[status(thm)],[f1657]) ).

fof(f1660,plain,
    ( spl0_216
  <=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1661,plain,
    ( h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
    | ~ spl0_216 ),
    inference(component_clause,[status(thm)],[f1660]) ).

fof(f1662,plain,
    ( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
    | spl0_216 ),
    inference(component_clause,[status(thm)],[f1660]) ).

fof(f1663,plain,
    ( spl0_217
  <=> pd0_13 ),
    introduced(split_symbol_definition) ).

fof(f1666,plain,
    ( spl0_218
  <=> pd0_14 ),
    introduced(split_symbol_definition) ).

fof(f1669,plain,
    ( spl0_219
  <=> pd0_15 ),
    introduced(split_symbol_definition) ).

fof(f1676,plain,
    ( spl0_221
  <=> h4(e11) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1678,plain,
    ( h4(e11) != e23
    | spl0_221 ),
    inference(component_clause,[status(thm)],[f1676]) ).

fof(f1680,plain,
    ( spl0_222
  <=> h4(e12) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1681,plain,
    ( h4(e12) = e23
    | ~ spl0_222 ),
    inference(component_clause,[status(thm)],[f1680]) ).

fof(f1682,plain,
    ( h4(e12) != e23
    | spl0_222 ),
    inference(component_clause,[status(thm)],[f1680]) ).

fof(f1683,plain,
    ( ~ spl0_201
    | ~ spl0_202
    | ~ spl0_203
    | ~ spl0_204
    | ~ spl0_205
    | ~ spl0_206
    | ~ spl0_207
    | ~ spl0_208
    | ~ spl0_209
    | ~ spl0_210
    | ~ spl0_211
    | ~ spl0_212
    | ~ spl0_213
    | ~ spl0_214
    | ~ spl0_215
    | ~ spl0_216
    | spl0_217
    | spl0_218
    | spl0_219
    | ~ spl0_222 ),
    inference(split_clause,[status(thm)],[f318,f1615,f1618,f1621,f1624,f1627,f1630,f1633,f1636,f1639,f1642,f1645,f1648,f1651,f1654,f1657,f1660,f1663,f1666,f1669,f1680]) ).

fof(f1688,plain,
    ( spl0_224
  <=> pd0_16 ),
    introduced(split_symbol_definition) ).

fof(f1691,plain,
    ( ~ spl0_128
    | spl0_224
    | spl0_62 ),
    inference(split_clause,[status(thm)],[f323,f1362,f1688,f1083]) ).

fof(f1692,plain,
    ( ~ spl0_128
    | spl0_224
    | ~ spl0_2
    | spl0_8 ),
    inference(split_clause,[status(thm)],[f324,f1362,f1688,f888,f908]) ).

fof(f1695,plain,
    ( ~ spl0_128
    | spl0_224
    | ~ spl0_62
    | spl0_59 ),
    inference(split_clause,[status(thm)],[f327,f1362,f1688,f1083,f1073]) ).

fof(f1696,plain,
    ( spl0_225
  <=> pd0_17 ),
    introduced(split_symbol_definition) ).

fof(f1699,plain,
    ( ~ spl0_129
    | spl0_225
    | spl0_59 ),
    inference(split_clause,[status(thm)],[f331,f1370,f1696,f1073]) ).

fof(f1700,plain,
    ( ~ spl0_129
    | spl0_225
    | spl0_47 ),
    inference(split_clause,[status(thm)],[f332,f1370,f1696,f1034]) ).

fof(f1705,plain,
    ( spl0_226
  <=> pd0_18 ),
    introduced(split_symbol_definition) ).

fof(f1708,plain,
    ( ~ spl0_130
    | spl0_226
    | spl0_126 ),
    inference(split_clause,[status(thm)],[f340,f1379,f1705,f1323]) ).

fof(f1712,plain,
    ( ~ spl0_130
    | spl0_226
    | ~ spl0_126
    | spl0_123 ),
    inference(split_clause,[status(thm)],[f344,f1379,f1705,f1323,f1313]) ).

fof(f1713,plain,
    ( spl0_227
  <=> pd0_19 ),
    introduced(split_symbol_definition) ).

fof(f1716,plain,
    ( ~ spl0_131
    | spl0_227
    | spl0_123 ),
    inference(split_clause,[status(thm)],[f348,f1387,f1713,f1313]) ).

fof(f1717,plain,
    ( ~ spl0_131
    | spl0_227
    | spl0_111 ),
    inference(split_clause,[status(thm)],[f349,f1387,f1713,f1274]) ).

fof(f1722,plain,
    ( spl0_228
  <=> h1(e10) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1724,plain,
    ( h1(e10) != e20
    | spl0_228 ),
    inference(component_clause,[status(thm)],[f1722]) ).

fof(f1726,plain,
    ( spl0_229
  <=> h1(e11) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1727,plain,
    ( h1(e11) = e20
    | ~ spl0_229 ),
    inference(component_clause,[status(thm)],[f1726]) ).

fof(f1728,plain,
    ( h1(e11) != e20
    | spl0_229 ),
    inference(component_clause,[status(thm)],[f1726]) ).

fof(f1730,plain,
    ( spl0_230
  <=> h1(e12) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1732,plain,
    ( h1(e12) != e20
    | spl0_230 ),
    inference(component_clause,[status(thm)],[f1730]) ).

fof(f1733,plain,
    ( ~ spl0_148
    | ~ spl0_230 ),
    inference(split_clause,[status(thm)],[f357,f1444,f1730]) ).

fof(f1734,plain,
    ( spl0_231
  <=> h1(e13) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1736,plain,
    ( h1(e13) != e20
    | spl0_231 ),
    inference(component_clause,[status(thm)],[f1734]) ).

fof(f1738,plain,
    ( spl0_232
  <=> h1(e10) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1740,plain,
    ( h1(e10) != e21
    | spl0_232 ),
    inference(component_clause,[status(thm)],[f1738]) ).

fof(f1741,plain,
    ( ~ spl0_149
    | ~ spl0_232 ),
    inference(split_clause,[status(thm)],[f360,f1447,f1738]) ).

fof(f1758,plain,
    ( spl0_237
  <=> h1(e11) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1759,plain,
    ( h1(e11) = e22
    | ~ spl0_237 ),
    inference(component_clause,[status(thm)],[f1758]) ).

fof(f1760,plain,
    ( h1(e11) != e22
    | spl0_237 ),
    inference(component_clause,[status(thm)],[f1758]) ).

fof(f1761,plain,
    ( ~ spl0_150
    | ~ spl0_237 ),
    inference(split_clause,[status(thm)],[f366,f1450,f1758]) ).

fof(f1766,plain,
    ( spl0_239
  <=> h1(e13) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1768,plain,
    ( h1(e13) != e22
    | spl0_239 ),
    inference(component_clause,[status(thm)],[f1766]) ).

fof(f1769,plain,
    ( ~ spl0_150
    | ~ spl0_239 ),
    inference(split_clause,[status(thm)],[f368,f1450,f1766]) ).

fof(f1770,plain,
    ( spl0_240
  <=> h2(e10) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1772,plain,
    ( h2(e10) != e20
    | spl0_240 ),
    inference(component_clause,[status(thm)],[f1770]) ).

fof(f1774,plain,
    ( spl0_241
  <=> h2(e11) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1776,plain,
    ( h2(e11) != e20
    | spl0_241 ),
    inference(component_clause,[status(thm)],[f1774]) ).

fof(f1777,plain,
    ( ~ spl0_171
    | ~ spl0_241 ),
    inference(split_clause,[status(thm)],[f371,f1517,f1774]) ).

fof(f1794,plain,
    ( spl0_246
  <=> h2(e12) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1796,plain,
    ( h2(e12) != e21
    | spl0_246 ),
    inference(component_clause,[status(thm)],[f1794]) ).

fof(f1797,plain,
    ( ~ spl0_172
    | ~ spl0_246 ),
    inference(split_clause,[status(thm)],[f377,f1520,f1794]) ).

fof(f1798,plain,
    ( spl0_247
  <=> h2(e13) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1800,plain,
    ( h2(e13) != e21
    | spl0_247 ),
    inference(component_clause,[status(thm)],[f1798]) ).

fof(f1802,plain,
    ( spl0_248
  <=> h2(e10) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1803,plain,
    ( h2(e10) = e22
    | ~ spl0_248 ),
    inference(component_clause,[status(thm)],[f1802]) ).

fof(f1804,plain,
    ( h2(e10) != e22
    | spl0_248 ),
    inference(component_clause,[status(thm)],[f1802]) ).

fof(f1805,plain,
    ( ~ spl0_173
    | ~ spl0_248 ),
    inference(split_clause,[status(thm)],[f380,f1523,f1802]) ).

fof(f1818,plain,
    ( spl0_252
  <=> h3(e10) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1819,plain,
    ( h3(e10) = e20
    | ~ spl0_252 ),
    inference(component_clause,[status(thm)],[f1818]) ).

fof(f1820,plain,
    ( h3(e10) != e20
    | spl0_252 ),
    inference(component_clause,[status(thm)],[f1818]) ).

fof(f1821,plain,
    ( ~ spl0_194
    | ~ spl0_252 ),
    inference(split_clause,[status(thm)],[f385,f1590,f1818]) ).

fof(f1838,plain,
    ( spl0_257
  <=> h3(e11) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1839,plain,
    ( h3(e11) = e21
    | ~ spl0_257 ),
    inference(component_clause,[status(thm)],[f1838]) ).

fof(f1840,plain,
    ( h3(e11) != e21
    | spl0_257 ),
    inference(component_clause,[status(thm)],[f1838]) ).

fof(f1841,plain,
    ( ~ spl0_195
    | ~ spl0_257 ),
    inference(split_clause,[status(thm)],[f391,f1593,f1838]) ).

fof(f1858,plain,
    ( spl0_262
  <=> h3(e12) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1860,plain,
    ( h3(e12) != e22
    | spl0_262 ),
    inference(component_clause,[status(thm)],[f1858]) ).

fof(f1861,plain,
    ( ~ spl0_196
    | ~ spl0_262 ),
    inference(split_clause,[status(thm)],[f397,f1596,f1858]) ).

fof(f1866,plain,
    ( spl0_264
  <=> h4(e10) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1868,plain,
    ( h4(e10) != e20
    | spl0_264 ),
    inference(component_clause,[status(thm)],[f1866]) ).

fof(f1869,plain,
    ( ~ spl0_217
    | ~ spl0_264 ),
    inference(split_clause,[status(thm)],[f400,f1663,f1866]) ).

fof(f1870,plain,
    ( spl0_265
  <=> h4(e11) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1872,plain,
    ( h4(e11) != e20
    | spl0_265 ),
    inference(component_clause,[status(thm)],[f1870]) ).

fof(f1873,plain,
    ( ~ spl0_217
    | ~ spl0_265 ),
    inference(split_clause,[status(thm)],[f401,f1663,f1870]) ).

fof(f1886,plain,
    ( spl0_269
  <=> h4(e11) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1887,plain,
    ( h4(e11) = e21
    | ~ spl0_269 ),
    inference(component_clause,[status(thm)],[f1886]) ).

fof(f1888,plain,
    ( h4(e11) != e21
    | spl0_269 ),
    inference(component_clause,[status(thm)],[f1886]) ).

fof(f1889,plain,
    ( ~ spl0_218
    | ~ spl0_269 ),
    inference(split_clause,[status(thm)],[f406,f1666,f1886]) ).

fof(f1894,plain,
    ( spl0_271
  <=> h4(e13) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1895,plain,
    ( h4(e13) = e21
    | ~ spl0_271 ),
    inference(component_clause,[status(thm)],[f1894]) ).

fof(f1896,plain,
    ( h4(e13) != e21
    | spl0_271 ),
    inference(component_clause,[status(thm)],[f1894]) ).

fof(f1897,plain,
    ( ~ spl0_218
    | ~ spl0_271 ),
    inference(split_clause,[status(thm)],[f408,f1666,f1894]) ).

fof(f1898,plain,
    ( spl0_272
  <=> h4(e10) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1900,plain,
    ( h4(e10) != e22
    | spl0_272 ),
    inference(component_clause,[status(thm)],[f1898]) ).

fof(f1901,plain,
    ( ~ spl0_219
    | ~ spl0_272 ),
    inference(split_clause,[status(thm)],[f410,f1669,f1898]) ).

fof(f1902,plain,
    ( spl0_273
  <=> h4(e11) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1903,plain,
    ( h4(e11) = e22
    | ~ spl0_273 ),
    inference(component_clause,[status(thm)],[f1902]) ).

fof(f1904,plain,
    ( h4(e11) != e22
    | spl0_273 ),
    inference(component_clause,[status(thm)],[f1902]) ).

fof(f1910,plain,
    ( spl0_275
  <=> h4(e13) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1912,plain,
    ( h4(e13) != e22
    | spl0_275 ),
    inference(component_clause,[status(thm)],[f1910]) ).

fof(f1913,plain,
    ( ~ spl0_219
    | ~ spl0_275 ),
    inference(split_clause,[status(thm)],[f413,f1669,f1910]) ).

fof(f1914,plain,
    ( spl0_276
  <=> pd0_20 ),
    introduced(split_symbol_definition) ).

fof(f1917,plain,
    ( ~ spl0_224
    | spl0_276
    | spl0_61 ),
    inference(split_clause,[status(thm)],[f417,f1688,f1914,f1080]) ).

fof(f1918,plain,
    ( ~ spl0_224
    | spl0_276
    | ~ spl0_1
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f418,f1688,f1914,f885,f895]) ).

fof(f1920,plain,
    ( ~ spl0_224
    | spl0_276
    | ~ spl0_41
    | spl0_38 ),
    inference(split_clause,[status(thm)],[f420,f1688,f1914,f1015,f1005]) ).

fof(f1922,plain,
    ( spl0_277
  <=> pd0_21 ),
    introduced(split_symbol_definition) ).

fof(f1925,plain,
    ( ~ spl0_225
    | spl0_277
    | spl0_55 ),
    inference(split_clause,[status(thm)],[f425,f1696,f1922,f1060]) ).

fof(f1926,plain,
    ( ~ spl0_225
    | spl0_277
    | spl0_31 ),
    inference(split_clause,[status(thm)],[f426,f1696,f1922,f982]) ).

fof(f1927,plain,
    ( ~ spl0_225
    | spl0_277
    | ~ spl0_17
    | ~ spl0_20 ),
    inference(split_clause,[status(thm)],[f427,f1696,f1922,f937,f947]) ).

fof(f1931,plain,
    ( spl0_278
  <=> pd0_22 ),
    introduced(split_symbol_definition) ).

fof(f1934,plain,
    ( ~ spl0_226
    | spl0_278
    | spl0_125 ),
    inference(split_clause,[status(thm)],[f434,f1705,f1931,f1320]) ).

fof(f1937,plain,
    ( ~ spl0_226
    | spl0_278
    | ~ spl0_105
    | spl0_102 ),
    inference(split_clause,[status(thm)],[f437,f1705,f1931,f1255,f1245]) ).

fof(f1939,plain,
    ( spl0_279
  <=> pd0_23 ),
    introduced(split_symbol_definition) ).

fof(f1942,plain,
    ( ~ spl0_227
    | spl0_279
    | spl0_119 ),
    inference(split_clause,[status(thm)],[f442,f1713,f1939,f1300]) ).

fof(f1943,plain,
    ( ~ spl0_227
    | spl0_279
    | spl0_95 ),
    inference(split_clause,[status(thm)],[f443,f1713,f1939,f1222]) ).

fof(f1944,plain,
    ( ~ spl0_227
    | spl0_279
    | ~ spl0_81
    | ~ spl0_84 ),
    inference(split_clause,[status(thm)],[f444,f1713,f1939,f1177,f1187]) ).

fof(f1948,plain,
    ( spl0_280
  <=> pd0_24 ),
    introduced(split_symbol_definition) ).

fof(f1951,plain,
    ( ~ spl0_276
    | spl0_280
    | spl0_60 ),
    inference(split_clause,[status(thm)],[f451,f1914,f1948,f1077]) ).

fof(f1953,plain,
    ( ~ spl0_276
    | spl0_280
    | ~ spl0_20
    | spl0_17 ),
    inference(split_clause,[status(thm)],[f453,f1914,f1948,f947,f937]) ).

fof(f1955,plain,
    ( ~ spl0_276
    | spl0_280
    | ~ spl0_60
    | spl0_51 ),
    inference(split_clause,[status(thm)],[f455,f1914,f1948,f1077,f1047]) ).

fof(f1956,plain,
    ( spl0_281
  <=> pd0_25 ),
    introduced(split_symbol_definition) ).

fof(f1959,plain,
    ( ~ spl0_277
    | spl0_281
    | spl0_51 ),
    inference(split_clause,[status(thm)],[f459,f1922,f1956,f1047]) ).

fof(f1960,plain,
    ( ~ spl0_277
    | spl0_281
    | spl0_15 ),
    inference(split_clause,[status(thm)],[f460,f1922,f1956,f930]) ).

fof(f1961,plain,
    ( ~ spl0_277
    | spl0_281
    | ~ spl0_0 ),
    inference(split_clause,[status(thm)],[f461,f1922,f1956,f882]) ).

fof(f1962,plain,
    ( ~ spl0_277
    | spl0_281
    | ~ spl0_4
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f462,f1922,f1956,f895,f885]) ).

fof(f1963,plain,
    ( ~ spl0_277
    | spl0_281
    | ~ spl0_8
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f463,f1922,f1956,f908,f888]) ).

fof(f1965,plain,
    ( spl0_282
  <=> pd0_26 ),
    introduced(split_symbol_definition) ).

fof(f1968,plain,
    ( ~ spl0_278
    | spl0_282
    | spl0_124 ),
    inference(split_clause,[status(thm)],[f468,f1931,f1965,f1317]) ).

fof(f1970,plain,
    ( ~ spl0_278
    | spl0_282
    | ~ spl0_84
    | spl0_81 ),
    inference(split_clause,[status(thm)],[f470,f1931,f1965,f1187,f1177]) ).

fof(f1972,plain,
    ( ~ spl0_278
    | spl0_282
    | ~ spl0_124
    | spl0_115 ),
    inference(split_clause,[status(thm)],[f472,f1931,f1965,f1317,f1287]) ).

fof(f1973,plain,
    ( spl0_283
  <=> pd0_27 ),
    introduced(split_symbol_definition) ).

fof(f1976,plain,
    ( ~ spl0_279
    | spl0_283
    | spl0_115 ),
    inference(split_clause,[status(thm)],[f476,f1939,f1973,f1287]) ).

fof(f1977,plain,
    ( ~ spl0_279
    | spl0_283
    | spl0_79 ),
    inference(split_clause,[status(thm)],[f477,f1939,f1973,f1170]) ).

fof(f1978,plain,
    ( ~ spl0_279
    | spl0_283
    | ~ spl0_64 ),
    inference(split_clause,[status(thm)],[f478,f1939,f1973,f1122]) ).

fof(f1979,plain,
    ( ~ spl0_279
    | spl0_283
    | ~ spl0_68
    | ~ spl0_65 ),
    inference(split_clause,[status(thm)],[f479,f1939,f1973,f1135,f1125]) ).

fof(f1981,plain,
    ( ~ spl0_279
    | spl0_283
    | ~ spl0_76
    | ~ spl0_67 ),
    inference(split_clause,[status(thm)],[f481,f1939,f1973,f1161,f1131]) ).

fof(f1982,plain,
    ( spl0_284
  <=> pd0_28 ),
    introduced(split_symbol_definition) ).

fof(f1985,plain,
    ( ~ spl0_280
    | spl0_284
    | spl0_43 ),
    inference(split_clause,[status(thm)],[f485,f1948,f1982,f1021]) ).

fof(f1990,plain,
    ( spl0_285
  <=> pd0_29 ),
    introduced(split_symbol_definition) ).

fof(f1993,plain,
    ( ~ spl0_281
    | spl0_285
    | spl0_46 ),
    inference(split_clause,[status(thm)],[f493,f1956,f1990,f1031]) ).

fof(f1994,plain,
    ( ~ spl0_281
    | spl0_285
    | spl0_58 ),
    inference(split_clause,[status(thm)],[f494,f1956,f1990,f1070]) ).

fof(f1995,plain,
    ( ~ spl0_281
    | spl0_285
    | ~ spl0_51
    | ~ spl0_60 ),
    inference(split_clause,[status(thm)],[f495,f1956,f1990,f1047,f1077]) ).

fof(f1998,plain,
    ( ~ spl0_281
    | spl0_285
    | ~ spl0_63 ),
    inference(split_clause,[status(thm)],[f498,f1956,f1990,f1086]) ).

fof(f1999,plain,
    ( spl0_286
  <=> pd0_30 ),
    introduced(split_symbol_definition) ).

fof(f2002,plain,
    ( ~ spl0_282
    | spl0_286
    | spl0_107 ),
    inference(split_clause,[status(thm)],[f502,f1965,f1999,f1261]) ).

fof(f2007,plain,
    ( spl0_287
  <=> pd0_31 ),
    introduced(split_symbol_definition) ).

fof(f2010,plain,
    ( ~ spl0_283
    | spl0_287
    | spl0_110 ),
    inference(split_clause,[status(thm)],[f510,f1973,f2007,f1271]) ).

fof(f2011,plain,
    ( ~ spl0_283
    | spl0_287
    | spl0_122 ),
    inference(split_clause,[status(thm)],[f511,f1973,f2007,f1310]) ).

fof(f2015,plain,
    ( ~ spl0_283
    | spl0_287
    | ~ spl0_127 ),
    inference(split_clause,[status(thm)],[f515,f1973,f2007,f1326]) ).

fof(f2016,plain,
    ( spl0_288
  <=> pd0_32 ),
    introduced(split_symbol_definition) ).

fof(f2019,plain,
    ( ~ spl0_284
    | spl0_288
    | spl0_42 ),
    inference(split_clause,[status(thm)],[f519,f1982,f2016,f1018]) ).

fof(f2024,plain,
    ( spl0_289
  <=> pd0_33 ),
    introduced(split_symbol_definition) ).

fof(f2027,plain,
    ( ~ spl0_285
    | spl0_289
    | spl0_42 ),
    inference(split_clause,[status(thm)],[f527,f1990,f2024,f1018]) ).

fof(f2033,plain,
    ( spl0_290
  <=> pd0_34 ),
    introduced(split_symbol_definition) ).

fof(f2036,plain,
    ( ~ spl0_286
    | spl0_290
    | spl0_106 ),
    inference(split_clause,[status(thm)],[f536,f1999,f2033,f1258]) ).

fof(f2041,plain,
    ( spl0_291
  <=> pd0_35 ),
    introduced(split_symbol_definition) ).

fof(f2044,plain,
    ( ~ spl0_287
    | spl0_291
    | spl0_106 ),
    inference(split_clause,[status(thm)],[f544,f2007,f2041,f1258]) ).

fof(f2050,plain,
    ( spl0_292
  <=> pd0_36 ),
    introduced(split_symbol_definition) ).

fof(f2054,plain,
    ( ~ spl0_288
    | spl0_292
    | ~ spl0_1
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f554,f2016,f2050,f885,f895]) ).

fof(f2056,plain,
    ( ~ spl0_288
    | spl0_292
    | ~ spl0_41
    | spl0_38 ),
    inference(split_clause,[status(thm)],[f556,f2016,f2050,f1015,f1005]) ).

fof(f2058,plain,
    ( spl0_293
  <=> pd0_37 ),
    introduced(split_symbol_definition) ).

fof(f2061,plain,
    ( ~ spl0_289
    | spl0_293
    | spl0_38 ),
    inference(split_clause,[status(thm)],[f561,f2024,f2058,f1005]) ).

fof(f2067,plain,
    ( spl0_294
  <=> pd0_38 ),
    introduced(split_symbol_definition) ).

fof(f2073,plain,
    ( ~ spl0_290
    | spl0_294
    | ~ spl0_105
    | spl0_102 ),
    inference(split_clause,[status(thm)],[f573,f2033,f2067,f1255,f1245]) ).

fof(f2075,plain,
    ( spl0_295
  <=> pd0_39 ),
    introduced(split_symbol_definition) ).

fof(f2078,plain,
    ( ~ spl0_291
    | spl0_295
    | spl0_102 ),
    inference(split_clause,[status(thm)],[f578,f2041,f2075,f1245]) ).

fof(f2084,plain,
    ( spl0_296
  <=> pd0_40 ),
    introduced(split_symbol_definition) ).

fof(f2087,plain,
    ( ~ spl0_292
    | spl0_296
    | spl0_40 ),
    inference(split_clause,[status(thm)],[f587,f2050,f2084,f1012]) ).

fof(f2092,plain,
    ( spl0_297
  <=> pd0_41 ),
    introduced(split_symbol_definition) ).

fof(f2095,plain,
    ( ~ spl0_293
    | spl0_297
    | spl0_34 ),
    inference(split_clause,[status(thm)],[f595,f2058,f2092,f992]) ).

fof(f2096,plain,
    ( ~ spl0_293
    | spl0_297
    | spl0_10 ),
    inference(split_clause,[status(thm)],[f596,f2058,f2092,f914]) ).

fof(f2097,plain,
    ( ~ spl0_293
    | spl0_297
    | ~ spl0_0 ),
    inference(split_clause,[status(thm)],[f597,f2058,f2092,f882]) ).

fof(f2098,plain,
    ( ~ spl0_293
    | spl0_297
    | ~ spl0_4
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f598,f2058,f2092,f895,f885]) ).

fof(f2101,plain,
    ( spl0_298
  <=> pd0_42 ),
    introduced(split_symbol_definition) ).

fof(f2104,plain,
    ( ~ spl0_294
    | spl0_298
    | spl0_104 ),
    inference(split_clause,[status(thm)],[f604,f2067,f2101,f1252]) ).

fof(f2109,plain,
    ( spl0_299
  <=> pd0_43 ),
    introduced(split_symbol_definition) ).

fof(f2112,plain,
    ( ~ spl0_295
    | spl0_299
    | spl0_98 ),
    inference(split_clause,[status(thm)],[f612,f2075,f2109,f1232]) ).

fof(f2113,plain,
    ( ~ spl0_295
    | spl0_299
    | spl0_74 ),
    inference(split_clause,[status(thm)],[f613,f2075,f2109,f1154]) ).

fof(f2114,plain,
    ( ~ spl0_295
    | spl0_299
    | ~ spl0_64 ),
    inference(split_clause,[status(thm)],[f614,f2075,f2109,f1122]) ).

fof(f2115,plain,
    ( ~ spl0_295
    | spl0_299
    | ~ spl0_68
    | ~ spl0_65 ),
    inference(split_clause,[status(thm)],[f615,f2075,f2109,f1135,f1125]) ).

fof(f2117,plain,
    ( ~ spl0_295
    | spl0_299
    | ~ spl0_76
    | ~ spl0_67 ),
    inference(split_clause,[status(thm)],[f617,f2075,f2109,f1161,f1131]) ).

fof(f2118,plain,
    ( spl0_300
  <=> pd0_44 ),
    introduced(split_symbol_definition) ).

fof(f2121,plain,
    ( ~ spl0_296
    | spl0_300
    | spl0_23 ),
    inference(split_clause,[status(thm)],[f621,f2084,f2118,f956]) ).

fof(f2126,plain,
    ( spl0_301
  <=> pd0_45 ),
    introduced(split_symbol_definition) ).

fof(f2129,plain,
    ( ~ spl0_297
    | spl0_301
    | spl0_29 ),
    inference(split_clause,[status(thm)],[f629,f2092,f2126,f976]) ).

fof(f2130,plain,
    ( ~ spl0_297
    | spl0_301
    | spl0_53 ),
    inference(split_clause,[status(thm)],[f630,f2092,f2126,f1054]) ).

fof(f2131,plain,
    ( ~ spl0_297
    | spl0_301
    | ~ spl0_51
    | ~ spl0_60 ),
    inference(split_clause,[status(thm)],[f631,f2092,f2126,f1047,f1077]) ).

fof(f2133,plain,
    ( ~ spl0_297
    | spl0_301
    | ~ spl0_59
    | ~ spl0_62 ),
    inference(split_clause,[status(thm)],[f633,f2092,f2126,f1073,f1083]) ).

fof(f2134,plain,
    ( ~ spl0_297
    | spl0_301
    | ~ spl0_63 ),
    inference(split_clause,[status(thm)],[f634,f2092,f2126,f1086]) ).

fof(f2135,plain,
    ( spl0_302
  <=> pd0_46 ),
    introduced(split_symbol_definition) ).

fof(f2138,plain,
    ( ~ spl0_298
    | spl0_302
    | spl0_87 ),
    inference(split_clause,[status(thm)],[f638,f2101,f2135,f1196]) ).

fof(f2143,plain,
    ( spl0_303
  <=> pd0_47 ),
    introduced(split_symbol_definition) ).

fof(f2146,plain,
    ( ~ spl0_299
    | spl0_303
    | spl0_93 ),
    inference(split_clause,[status(thm)],[f646,f2109,f2143,f1216]) ).

fof(f2147,plain,
    ( ~ spl0_299
    | spl0_303
    | spl0_117 ),
    inference(split_clause,[status(thm)],[f647,f2109,f2143,f1294]) ).

fof(f2150,plain,
    ( ~ spl0_299
    | spl0_303
    | ~ spl0_123
    | ~ spl0_126 ),
    inference(split_clause,[status(thm)],[f650,f2109,f2143,f1313,f1323]) ).

fof(f2151,plain,
    ( ~ spl0_299
    | spl0_303
    | ~ spl0_127 ),
    inference(split_clause,[status(thm)],[f651,f2109,f2143,f1326]) ).

fof(f2152,plain,
    ( spl0_304
  <=> pd0_48 ),
    introduced(split_symbol_definition) ).

fof(f2155,plain,
    ( ~ spl0_300
    | spl0_304
    | spl0_22 ),
    inference(split_clause,[status(thm)],[f655,f2118,f2152,f953]) ).

fof(f2160,plain,
    ( spl0_305
  <=> pd0_49 ),
    introduced(split_symbol_definition) ).

fof(f2163,plain,
    ( ~ spl0_301
    | spl0_305
    | spl0_25 ),
    inference(split_clause,[status(thm)],[f663,f2126,f2160,f963]) ).

fof(f2164,plain,
    ( ~ spl0_301
    | spl0_305
    | spl0_37 ),
    inference(split_clause,[status(thm)],[f664,f2126,f2160,f1002]) ).

fof(f2169,plain,
    ( spl0_306
  <=> pd0_50 ),
    introduced(split_symbol_definition) ).

fof(f2172,plain,
    ( ~ spl0_302
    | spl0_306
    | spl0_86 ),
    inference(split_clause,[status(thm)],[f672,f2135,f2169,f1193]) ).

fof(f2177,plain,
    ( spl0_307
  <=> pd0_51 ),
    introduced(split_symbol_definition) ).

fof(f2180,plain,
    ( ~ spl0_303
    | spl0_307
    | spl0_89 ),
    inference(split_clause,[status(thm)],[f680,f2143,f2177,f1203]) ).

fof(f2181,plain,
    ( ~ spl0_303
    | spl0_307
    | spl0_101 ),
    inference(split_clause,[status(thm)],[f681,f2143,f2177,f1242]) ).

fof(f2186,plain,
    ( spl0_308
  <=> pd0_52 ),
    introduced(split_symbol_definition) ).

fof(f2189,plain,
    ( ~ spl0_304
    | spl0_308
    | spl0_21 ),
    inference(split_clause,[status(thm)],[f689,f2152,f2186,f950]) ).

fof(f2194,plain,
    ( spl0_309
  <=> pd0_53 ),
    introduced(split_symbol_definition) ).

fof(f2197,plain,
    ( ~ spl0_305
    | spl0_309
    | spl0_21 ),
    inference(split_clause,[status(thm)],[f697,f2160,f2194,f950]) ).

fof(f2203,plain,
    ( spl0_310
  <=> pd0_54 ),
    introduced(split_symbol_definition) ).

fof(f2206,plain,
    ( ~ spl0_306
    | spl0_310
    | spl0_85 ),
    inference(split_clause,[status(thm)],[f706,f2169,f2203,f1190]) ).

fof(f2211,plain,
    ( spl0_311
  <=> pd0_55 ),
    introduced(split_symbol_definition) ).

fof(f2214,plain,
    ( ~ spl0_307
    | spl0_311
    | spl0_85 ),
    inference(split_clause,[status(thm)],[f714,f2177,f2211,f1190]) ).

fof(f2220,plain,
    ( spl0_312
  <=> pd0_56 ),
    introduced(split_symbol_definition) ).

fof(f2225,plain,
    ( ~ spl0_308
    | spl0_312
    | ~ spl0_20
    | spl0_17 ),
    inference(split_clause,[status(thm)],[f725,f2186,f2220,f947,f937]) ).

fof(f2227,plain,
    ( ~ spl0_308
    | spl0_312
    | ~ spl0_60
    | spl0_51 ),
    inference(split_clause,[status(thm)],[f727,f2186,f2220,f1077,f1047]) ).

fof(f2228,plain,
    ( spl0_313
  <=> pd0_57 ),
    introduced(split_symbol_definition) ).

fof(f2231,plain,
    ( ~ spl0_309
    | spl0_313
    | spl0_17 ),
    inference(split_clause,[status(thm)],[f731,f2194,f2228,f937]) ).

fof(f2232,plain,
    ( ~ spl0_309
    | spl0_313
    | spl0_5 ),
    inference(split_clause,[status(thm)],[f732,f2194,f2228,f898]) ).

fof(f2233,plain,
    ( ~ spl0_309
    | spl0_313
    | ~ spl0_0 ),
    inference(split_clause,[status(thm)],[f733,f2194,f2228,f882]) ).

fof(f2237,plain,
    ( spl0_314
  <=> pd0_58 ),
    introduced(split_symbol_definition) ).

fof(f2242,plain,
    ( ~ spl0_310
    | spl0_314
    | ~ spl0_84
    | spl0_81 ),
    inference(split_clause,[status(thm)],[f742,f2203,f2237,f1187,f1177]) ).

fof(f2244,plain,
    ( ~ spl0_310
    | spl0_314
    | ~ spl0_124
    | spl0_115 ),
    inference(split_clause,[status(thm)],[f744,f2203,f2237,f1317,f1287]) ).

fof(f2245,plain,
    ( spl0_315
  <=> pd0_59 ),
    introduced(split_symbol_definition) ).

fof(f2248,plain,
    ( ~ spl0_311
    | spl0_315
    | spl0_81 ),
    inference(split_clause,[status(thm)],[f748,f2211,f2245,f1177]) ).

fof(f2249,plain,
    ( ~ spl0_311
    | spl0_315
    | spl0_69 ),
    inference(split_clause,[status(thm)],[f749,f2211,f2245,f1138]) ).

fof(f2250,plain,
    ( ~ spl0_311
    | spl0_315
    | ~ spl0_64 ),
    inference(split_clause,[status(thm)],[f750,f2211,f2245,f1122]) ).

fof(f2253,plain,
    ( ~ spl0_311
    | spl0_315
    | ~ spl0_76
    | ~ spl0_67 ),
    inference(split_clause,[status(thm)],[f753,f2211,f2245,f1161,f1131]) ).

fof(f2254,plain,
    ( spl0_316
  <=> pd0_60 ),
    introduced(split_symbol_definition) ).

fof(f2257,plain,
    ( ~ spl0_312
    | spl0_316
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f757,f2220,f2254,f891]) ).

fof(f2258,plain,
    ( ~ spl0_312
    | spl0_316
    | ~ spl0_3
    | spl0_12 ),
    inference(split_clause,[status(thm)],[f758,f2220,f2254,f891,f921]) ).

fof(f2262,plain,
    ( spl0_317
  <=> pd0_61 ),
    introduced(split_symbol_definition) ).

fof(f2265,plain,
    ( ~ spl0_313
    | spl0_317
    | spl0_12 ),
    inference(split_clause,[status(thm)],[f765,f2228,f2262,f921]) ).

fof(f2266,plain,
    ( ~ spl0_313
    | spl0_317
    | spl0_48 ),
    inference(split_clause,[status(thm)],[f766,f2228,f2262,f1038]) ).

fof(f2269,plain,
    ( ~ spl0_313
    | spl0_317
    | ~ spl0_59
    | ~ spl0_62 ),
    inference(split_clause,[status(thm)],[f769,f2228,f2262,f1073,f1083]) ).

fof(f2270,plain,
    ( ~ spl0_313
    | spl0_317
    | ~ spl0_63 ),
    inference(split_clause,[status(thm)],[f770,f2228,f2262,f1086]) ).

fof(f2271,plain,
    ( spl0_318
  <=> pd0_62 ),
    introduced(split_symbol_definition) ).

fof(f2274,plain,
    ( ~ spl0_314
    | spl0_318
    | spl0_67 ),
    inference(split_clause,[status(thm)],[f774,f2237,f2271,f1131]) ).

fof(f2275,plain,
    ( ~ spl0_314
    | spl0_318
    | ~ spl0_67
    | spl0_76 ),
    inference(split_clause,[status(thm)],[f775,f2237,f2271,f1131,f1161]) ).

fof(f2279,plain,
    ( spl0_319
  <=> pd0_63 ),
    introduced(split_symbol_definition) ).

fof(f2282,plain,
    ( ~ spl0_315
    | spl0_319
    | spl0_76 ),
    inference(split_clause,[status(thm)],[f782,f2245,f2279,f1161]) ).

fof(f2283,plain,
    ( ~ spl0_315
    | spl0_319
    | spl0_112 ),
    inference(split_clause,[status(thm)],[f783,f2245,f2279,f1278]) ).

fof(f2288,plain,
    ( spl0_320
  <=> pd0_64 ),
    introduced(split_symbol_definition) ).

fof(f2291,plain,
    ( ~ spl0_316
    | spl0_320
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f791,f2254,f2288,f888]) ).

fof(f2292,plain,
    ( ~ spl0_316
    | spl0_320
    | ~ spl0_2
    | spl0_8 ),
    inference(split_clause,[status(thm)],[f792,f2254,f2288,f888,f908]) ).

fof(f2295,plain,
    ( ~ spl0_316
    | spl0_320
    | ~ spl0_62
    | spl0_59 ),
    inference(split_clause,[status(thm)],[f795,f2254,f2288,f1083,f1073]) ).

fof(f2296,plain,
    ( spl0_321
  <=> pd0_65 ),
    introduced(split_symbol_definition) ).

fof(f2299,plain,
    ( ~ spl0_317
    | spl0_321
    | spl0_8 ),
    inference(split_clause,[status(thm)],[f799,f2262,f2296,f908]) ).

fof(f2300,plain,
    ( ~ spl0_317
    | spl0_321
    | spl0_32 ),
    inference(split_clause,[status(thm)],[f800,f2262,f2296,f986]) ).

fof(f2305,plain,
    ( spl0_322
  <=> pd0_66 ),
    introduced(split_symbol_definition) ).

fof(f2308,plain,
    ( ~ spl0_318
    | spl0_322
    | spl0_66 ),
    inference(split_clause,[status(thm)],[f808,f2271,f2305,f1128]) ).

fof(f2309,plain,
    ( ~ spl0_318
    | spl0_322
    | ~ spl0_66
    | spl0_72 ),
    inference(split_clause,[status(thm)],[f809,f2271,f2305,f1128,f1148]) ).

fof(f2313,plain,
    ( spl0_323
  <=> pd0_67 ),
    introduced(split_symbol_definition) ).

fof(f2316,plain,
    ( ~ spl0_319
    | spl0_323
    | spl0_72 ),
    inference(split_clause,[status(thm)],[f816,f2279,f2313,f1148]) ).

fof(f2317,plain,
    ( ~ spl0_319
    | spl0_323
    | spl0_96 ),
    inference(split_clause,[status(thm)],[f817,f2279,f2313,f1226]) ).

fof(f2322,plain,
    ( spl0_324
  <=> pd0_68 ),
    introduced(split_symbol_definition) ).

fof(f2325,plain,
    ( ~ spl0_320
    | spl0_324
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f825,f2288,f2322,f885]) ).

fof(f2326,plain,
    ( ~ spl0_320
    | spl0_324
    | ~ spl0_1
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f826,f2288,f2322,f885,f895]) ).

fof(f2328,plain,
    ( ~ spl0_320
    | spl0_324
    | ~ spl0_41
    | spl0_38 ),
    inference(split_clause,[status(thm)],[f828,f2288,f2322,f1015,f1005]) ).

fof(f2330,plain,
    ( spl0_325
  <=> pd0_69 ),
    introduced(split_symbol_definition) ).

fof(f2333,plain,
    ( ~ spl0_321
    | spl0_325
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f833,f2296,f2330,f895]) ).

fof(f2334,plain,
    ( ~ spl0_321
    | spl0_325
    | spl0_16 ),
    inference(split_clause,[status(thm)],[f834,f2296,f2330,f934]) ).

fof(f2335,plain,
    ( ~ spl0_321
    | spl0_325
    | ~ spl0_17
    | ~ spl0_20 ),
    inference(split_clause,[status(thm)],[f835,f2296,f2330,f937,f947]) ).

fof(f2339,plain,
    ( spl0_326
  <=> pd0_70 ),
    introduced(split_symbol_definition) ).

fof(f2345,plain,
    ( ~ spl0_322
    | spl0_326
    | ~ spl0_105
    | spl0_102 ),
    inference(split_clause,[status(thm)],[f845,f2305,f2339,f1255,f1245]) ).

fof(f2347,plain,
    ( spl0_327
  <=> pd0_71 ),
    introduced(split_symbol_definition) ).

fof(f2351,plain,
    ( ~ spl0_323
    | spl0_327
    | spl0_80 ),
    inference(split_clause,[status(thm)],[f851,f2313,f2347,f1174]) ).

fof(f2352,plain,
    ( ~ spl0_323
    | spl0_327
    | ~ spl0_81
    | ~ spl0_84 ),
    inference(split_clause,[status(thm)],[f852,f2313,f2347,f1177,f1187]) ).

fof(f2356,plain,
    ( ~ spl0_324
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f857,f2322,f882]) ).

fof(f2358,plain,
    ( ~ spl0_324
    | ~ spl0_20
    | spl0_17 ),
    inference(split_clause,[status(thm)],[f859,f2322,f947,f937]) ).

fof(f2360,plain,
    ( ~ spl0_324
    | ~ spl0_60
    | spl0_51 ),
    inference(split_clause,[status(thm)],[f861,f2322,f1077,f1047]) ).

fof(f2361,plain,
    ( ~ spl0_325
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f863,f2330,f882]) ).

fof(f2363,plain,
    ( ~ spl0_325
    | ~ spl0_0 ),
    inference(split_clause,[status(thm)],[f865,f2330,f882]) ).

fof(f2365,plain,
    ( ~ spl0_325
    | ~ spl0_8
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f867,f2330,f908,f888]) ).

fof(f2366,plain,
    ( ~ spl0_325
    | ~ spl0_12
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f868,f2330,f921,f891]) ).

fof(f2367,plain,
    ( ~ spl0_326
    | spl0_64 ),
    inference(split_clause,[status(thm)],[f870,f2339,f1122]) ).

fof(f2369,plain,
    ( ~ spl0_326
    | ~ spl0_84
    | spl0_81 ),
    inference(split_clause,[status(thm)],[f872,f2339,f1187,f1177]) ).

fof(f2372,plain,
    ( ~ spl0_327
    | spl0_64 ),
    inference(split_clause,[status(thm)],[f876,f2347,f1122]) ).

fof(f2374,plain,
    ( ~ spl0_327
    | ~ spl0_64 ),
    inference(split_clause,[status(thm)],[f878,f2347,f1122]) ).

fof(f2378,plain,
    e10 = op1(op1(e12,e12),e11),
    inference(backward_demodulation,[status(thm)],[f269,f268]) ).

fof(f2379,plain,
    e10 = op1(e11,e11),
    inference(forward_demodulation,[status(thm)],[f269,f2378]) ).

fof(f2380,plain,
    ( h1(e11) != op2(h1(e12),h1(e12))
    | spl0_142 ),
    inference(backward_demodulation,[status(thm)],[f269,f1428]) ).

fof(f2381,plain,
    ( h2(e11) != op2(h2(e12),h2(e12))
    | spl0_165 ),
    inference(backward_demodulation,[status(thm)],[f269,f1501]) ).

fof(f2382,plain,
    ( h3(e11) != op2(h3(e12),h3(e12))
    | spl0_188 ),
    inference(backward_demodulation,[status(thm)],[f269,f1574]) ).

fof(f2383,plain,
    ( h4(e11) != op2(h4(e12),h4(e12))
    | spl0_211 ),
    inference(backward_demodulation,[status(thm)],[f269,f1647]) ).

fof(f2388,plain,
    e20 = op2(op2(e22,e22),e21),
    inference(backward_demodulation,[status(thm)],[f272,f271]) ).

fof(f2389,plain,
    e20 = op2(e21,e21),
    inference(forward_demodulation,[status(thm)],[f272,f2388]) ).

fof(f2394,plain,
    ( $false
    | spl0_230 ),
    inference(forward_subsumption_resolution,[status(thm)],[f274,f1732]) ).

fof(f2395,plain,
    spl0_230,
    inference(contradiction_clause,[status(thm)],[f2394]) ).

fof(f2396,plain,
    h1(e10) = op2(op2(e20,e20),h1(e11)),
    inference(backward_demodulation,[status(thm)],[f276,f275]) ).

fof(f2397,plain,
    h1(e10) = op2(h1(e11),h1(e11)),
    inference(forward_demodulation,[status(thm)],[f276,f2396]) ).

fof(f2398,plain,
    h1(e13) = op2(e20,h1(e11)),
    inference(forward_demodulation,[status(thm)],[f276,f277]) ).

fof(f2399,plain,
    ( $false
    | spl0_246 ),
    inference(forward_subsumption_resolution,[status(thm)],[f278,f1796]) ).

fof(f2400,plain,
    spl0_246,
    inference(contradiction_clause,[status(thm)],[f2399]) ).

fof(f2401,plain,
    h2(e10) = op2(op2(e21,e21),h2(e11)),
    inference(backward_demodulation,[status(thm)],[f280,f279]) ).

fof(f2402,plain,
    h2(e10) = op2(h2(e11),h2(e11)),
    inference(forward_demodulation,[status(thm)],[f280,f2401]) ).

fof(f2405,plain,
    h2(e13) = op2(e21,h2(e11)),
    inference(forward_demodulation,[status(thm)],[f280,f281]) ).

fof(f2406,plain,
    ( $false
    | spl0_262 ),
    inference(forward_subsumption_resolution,[status(thm)],[f282,f1860]) ).

fof(f2407,plain,
    spl0_262,
    inference(contradiction_clause,[status(thm)],[f2406]) ).

fof(f2408,plain,
    h3(e10) = op2(e21,op2(e22,e22)),
    inference(forward_demodulation,[status(thm)],[f272,f283]) ).

fof(f2409,plain,
    h3(e10) = op2(e21,e21),
    inference(forward_demodulation,[status(thm)],[f272,f2408]) ).

fof(f2410,plain,
    h3(e10) = h2(e11),
    inference(forward_demodulation,[status(thm)],[f280,f2409]) ).

fof(f2412,plain,
    ( h3(op1(e10,e10)) != op2(h3(e10),h2(e11))
    | spl0_178 ),
    inference(backward_demodulation,[status(thm)],[f2410,f1544]) ).

fof(f2413,plain,
    ( h3(op1(e10,e10)) != op2(h2(e11),h2(e11))
    | spl0_178 ),
    inference(forward_demodulation,[status(thm)],[f2410,f2412]) ).

fof(f2414,plain,
    ( h3(op1(e10,e11)) != op2(h2(e11),h3(e11))
    | spl0_179 ),
    inference(backward_demodulation,[status(thm)],[f2410,f1547]) ).

fof(f2415,plain,
    ( h3(op1(e10,e12)) != op2(h2(e11),h3(e12))
    | spl0_180 ),
    inference(backward_demodulation,[status(thm)],[f2410,f1550]) ).

fof(f2416,plain,
    ( h3(op1(e10,e13)) != op2(h2(e11),h3(e13))
    | spl0_181 ),
    inference(backward_demodulation,[status(thm)],[f2410,f1553]) ).

fof(f2417,plain,
    ( h3(op1(e11,e10)) != op2(h3(e11),h2(e11))
    | spl0_182 ),
    inference(backward_demodulation,[status(thm)],[f2410,f1556]) ).

fof(f2418,plain,
    ( h3(op1(e12,e10)) != op2(h3(e12),h2(e11))
    | spl0_186 ),
    inference(backward_demodulation,[status(thm)],[f2410,f1568]) ).

fof(f2419,plain,
    ( h3(op1(e13,e10)) != op2(h3(e13),h2(e11))
    | spl0_190 ),
    inference(backward_demodulation,[status(thm)],[f2410,f1580]) ).

fof(f2420,plain,
    h3(e11) = e21,
    inference(forward_demodulation,[status(thm)],[f272,f284]) ).

fof(f2421,plain,
    ( $false
    | spl0_257 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2420,f1840]) ).

fof(f2422,plain,
    spl0_257,
    inference(contradiction_clause,[status(thm)],[f2421]) ).

fof(f2423,plain,
    h3(e13) = op2(e22,e21),
    inference(forward_demodulation,[status(thm)],[f272,f285]) ).

fof(f2428,plain,
    ( $false
    | spl0_222 ),
    inference(forward_subsumption_resolution,[status(thm)],[f286,f1682]) ).

fof(f2429,plain,
    spl0_222,
    inference(contradiction_clause,[status(thm)],[f2428]) ).

fof(f2430,plain,
    h4(e10) = op2(op2(e23,e23),h4(e11)),
    inference(backward_demodulation,[status(thm)],[f288,f287]) ).

fof(f2431,plain,
    h4(e10) = op2(h4(e11),h4(e11)),
    inference(forward_demodulation,[status(thm)],[f288,f2430]) ).

fof(f2434,plain,
    op2(e23,e20) != h4(e11),
    inference(paramodulation,[status(thm)],[f288,f208]) ).

fof(f2438,plain,
    h4(e13) = op2(e23,h4(e11)),
    inference(forward_demodulation,[status(thm)],[f288,f289]) ).

fof(f2439,plain,
    ( op2(e20,e20) != e20
    | ~ spl0_80 ),
    inference(paramodulation,[status(thm)],[f1175,f164]) ).

fof(f2440,plain,
    ( op2(e21,e20) != e20
    | ~ spl0_96 ),
    inference(paramodulation,[status(thm)],[f1227,f167]) ).

fof(f2441,plain,
    ( e20 != e20
    | ~ spl0_80
    | ~ spl0_96 ),
    inference(forward_demodulation,[status(thm)],[f1175,f2440]) ).

fof(f2442,plain,
    ( $false
    | ~ spl0_80
    | ~ spl0_96 ),
    inference(trivial_equality_resolution,[status(esa)],[f2441]) ).

fof(f2443,plain,
    ( ~ spl0_80
    | ~ spl0_96 ),
    inference(contradiction_clause,[status(thm)],[f2442]) ).

fof(f2444,plain,
    ( op2(e20,e20) != e20
    | ~ spl0_96 ),
    inference(paramodulation,[status(thm)],[f1227,f165]) ).

fof(f2445,plain,
    ( e11 != e11
    | spl0_41 ),
    inference(forward_demodulation,[status(thm)],[f269,f1017]) ).

fof(f2446,plain,
    ( $false
    | spl0_41 ),
    inference(trivial_equality_resolution,[status(esa)],[f2445]) ).

fof(f2447,plain,
    spl0_41,
    inference(contradiction_clause,[status(thm)],[f2446]) ).

fof(f2449,plain,
    ( e11 = e12
    | ~ spl0_42 ),
    inference(forward_demodulation,[status(thm)],[f269,f1019]) ).

fof(f2450,plain,
    ( $false
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2449,f215]) ).

fof(f2451,plain,
    ~ spl0_42,
    inference(contradiction_clause,[status(thm)],[f2450]) ).

fof(f2452,plain,
    ( e11 = e13
    | ~ spl0_43 ),
    inference(forward_demodulation,[status(thm)],[f269,f1022]) ).

fof(f2453,plain,
    ( $false
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2452,f216]) ).

fof(f2454,plain,
    ~ spl0_43,
    inference(contradiction_clause,[status(thm)],[f2453]) ).

fof(f2456,plain,
    ( op2(e22,e20) != e20
    | ~ spl0_112 ),
    inference(paramodulation,[status(thm)],[f1279,f169]) ).

fof(f2457,plain,
    ( e20 != e20
    | ~ spl0_96
    | ~ spl0_112 ),
    inference(forward_demodulation,[status(thm)],[f1227,f2456]) ).

fof(f2458,plain,
    ( $false
    | ~ spl0_96
    | ~ spl0_112 ),
    inference(trivial_equality_resolution,[status(esa)],[f2457]) ).

fof(f2459,plain,
    ( ~ spl0_96
    | ~ spl0_112 ),
    inference(contradiction_clause,[status(thm)],[f2458]) ).

fof(f2460,plain,
    ( op2(e20,e21) != e22
    | ~ spl0_74 ),
    inference(paramodulation,[status(thm)],[f1155,f191]) ).

fof(f2461,plain,
    ( op2(e20,e20) != e22
    | ~ spl0_74 ),
    inference(paramodulation,[status(thm)],[f1155,f189]) ).

fof(f2462,plain,
    ( op2(e23,e20) != e21
    | ~ spl0_117 ),
    inference(paramodulation,[status(thm)],[f1295,f206]) ).

fof(f2465,plain,
    ( op2(e20,e21) != e21
    | ~ spl0_117 ),
    inference(paramodulation,[status(thm)],[f1295,f172]) ).

fof(f2471,plain,
    ( op2(e21,e22) != e22
    | ~ spl0_122 ),
    inference(paramodulation,[status(thm)],[f1311,f180]) ).

fof(f2472,plain,
    ( op2(e20,e22) != e22
    | ~ spl0_122 ),
    inference(paramodulation,[status(thm)],[f1311,f178]) ).

fof(f2473,plain,
    ( e22 != e22
    | ~ spl0_74
    | ~ spl0_122 ),
    inference(forward_demodulation,[status(thm)],[f1155,f2472]) ).

fof(f2474,plain,
    ( $false
    | ~ spl0_74
    | ~ spl0_122 ),
    inference(trivial_equality_resolution,[status(esa)],[f2473]) ).

fof(f2475,plain,
    ( ~ spl0_74
    | ~ spl0_122 ),
    inference(contradiction_clause,[status(thm)],[f2474]) ).

fof(f2477,plain,
    ( e21 != e21
    | spl0_105 ),
    inference(forward_demodulation,[status(thm)],[f272,f1257]) ).

fof(f2478,plain,
    ( $false
    | spl0_105 ),
    inference(trivial_equality_resolution,[status(esa)],[f2477]) ).

fof(f2479,plain,
    spl0_105,
    inference(contradiction_clause,[status(thm)],[f2478]) ).

fof(f2480,plain,
    ( e22 = e23
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(forward_demodulation,[status(thm)],[f1311,f1314]) ).

fof(f2481,plain,
    ( $false
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2480,f223]) ).

fof(f2482,plain,
    ( ~ spl0_122
    | ~ spl0_123 ),
    inference(contradiction_clause,[status(thm)],[f2481]) ).

fof(f2486,plain,
    ( op1(e10,e10) != e10
    | ~ spl0_16 ),
    inference(paramodulation,[status(thm)],[f935,f116]) ).

fof(f2488,plain,
    ( h2(e10) != op2(h2(e12),h2(e10))
    | ~ spl0_32
    | spl0_163 ),
    inference(backward_demodulation,[status(thm)],[f987,f1495]) ).

fof(f2489,plain,
    ( h4(e10) != op2(h4(e12),h4(e10))
    | ~ spl0_32
    | spl0_209 ),
    inference(backward_demodulation,[status(thm)],[f987,f1641]) ).

fof(f2490,plain,
    ( op1(e11,e10) != e10
    | ~ spl0_32 ),
    inference(paramodulation,[status(thm)],[f987,f119]) ).

fof(f2491,plain,
    ( e10 != e10
    | ~ spl0_16
    | ~ spl0_32 ),
    inference(forward_demodulation,[status(thm)],[f935,f2490]) ).

fof(f2492,plain,
    ( $false
    | ~ spl0_16
    | ~ spl0_32 ),
    inference(trivial_equality_resolution,[status(esa)],[f2491]) ).

fof(f2493,plain,
    ( ~ spl0_16
    | ~ spl0_32 ),
    inference(contradiction_clause,[status(thm)],[f2492]) ).

fof(f2494,plain,
    ( op1(e10,e10) != e10
    | ~ spl0_32 ),
    inference(paramodulation,[status(thm)],[f987,f117]) ).

fof(f2496,plain,
    ( h2(e10) != op2(h2(e13),h2(e10))
    | ~ spl0_48
    | spl0_167 ),
    inference(backward_demodulation,[status(thm)],[f1039,f1507]) ).

fof(f2497,plain,
    ( h4(e10) != op2(h4(e13),h4(e10))
    | ~ spl0_48
    | spl0_213 ),
    inference(backward_demodulation,[status(thm)],[f1039,f1653]) ).

fof(f2498,plain,
    ( op1(e12,e10) != e10
    | ~ spl0_48 ),
    inference(paramodulation,[status(thm)],[f1039,f121]) ).

fof(f2499,plain,
    ( e10 != e10
    | ~ spl0_32
    | ~ spl0_48 ),
    inference(forward_demodulation,[status(thm)],[f987,f2498]) ).

fof(f2500,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_48 ),
    inference(trivial_equality_resolution,[status(esa)],[f2499]) ).

fof(f2501,plain,
    ( ~ spl0_32
    | ~ spl0_48 ),
    inference(contradiction_clause,[status(thm)],[f2500]) ).

fof(f2506,plain,
    ( op1(e10,e10) != e12
    | ~ spl0_10 ),
    inference(paramodulation,[status(thm)],[f915,f141]) ).

fof(f2507,plain,
    ( ~ spl0_2
    | ~ spl0_10 ),
    inference(split_clause,[status(thm)],[f2506,f888,f914]) ).

fof(f2508,plain,
    ( ~ spl0_0
    | ~ spl0_16 ),
    inference(split_clause,[status(thm)],[f2486,f882,f934]) ).

fof(f2513,plain,
    ( op1(e13,e10) != e11
    | ~ spl0_53 ),
    inference(paramodulation,[status(thm)],[f1055,f158]) ).

fof(f2516,plain,
    ( op1(e10,e11) != e11
    | ~ spl0_53 ),
    inference(paramodulation,[status(thm)],[f1055,f124]) ).

fof(f2523,plain,
    ( op1(e13,e10) != e12
    | ~ spl0_58 ),
    inference(paramodulation,[status(thm)],[f1071,f159]) ).

fof(f2526,plain,
    ( op1(e11,e12) != e12
    | ~ spl0_58 ),
    inference(paramodulation,[status(thm)],[f1071,f132]) ).

fof(f2527,plain,
    ( op1(e10,e12) != e12
    | ~ spl0_58 ),
    inference(paramodulation,[status(thm)],[f1071,f130]) ).

fof(f2528,plain,
    ( e12 != e12
    | ~ spl0_10
    | ~ spl0_58 ),
    inference(forward_demodulation,[status(thm)],[f915,f2527]) ).

fof(f2529,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_58 ),
    inference(trivial_equality_resolution,[status(esa)],[f2528]) ).

fof(f2530,plain,
    ( ~ spl0_10
    | ~ spl0_58 ),
    inference(contradiction_clause,[status(thm)],[f2529]) ).

fof(f2531,plain,
    ( h1(e11) != op2(h1(e10),h1(e11))
    | ~ spl0_5
    | spl0_133 ),
    inference(backward_demodulation,[status(thm)],[f899,f1401]) ).

fof(f2532,plain,
    ( h2(e11) != op2(h2(e10),h2(e11))
    | ~ spl0_5
    | spl0_156 ),
    inference(backward_demodulation,[status(thm)],[f899,f1474]) ).

fof(f2534,plain,
    ( op1(e10,e10) != e11
    | ~ spl0_5 ),
    inference(paramodulation,[status(thm)],[f899,f140]) ).

fof(f2535,plain,
    ( h1(e13) != op2(h1(e10),h1(e13))
    | ~ spl0_15
    | spl0_135 ),
    inference(backward_demodulation,[status(thm)],[f931,f1407]) ).

fof(f2538,plain,
    ( op1(e10,e12) != e13
    | ~ spl0_15 ),
    inference(paramodulation,[status(thm)],[f931,f145]) ).

fof(f2540,plain,
    ( op1(e10,e11) != e13
    | ~ spl0_15 ),
    inference(paramodulation,[status(thm)],[f931,f144]) ).

fof(f2542,plain,
    ( op1(e10,e10) != e13
    | ~ spl0_15 ),
    inference(paramodulation,[status(thm)],[f931,f142]) ).

fof(f2543,plain,
    ( ~ spl0_3
    | ~ spl0_15 ),
    inference(split_clause,[status(thm)],[f2542,f891,f930]) ).

fof(f2544,plain,
    ( e11 = e13
    | ~ spl0_53
    | ~ spl0_55 ),
    inference(forward_demodulation,[status(thm)],[f1055,f1061]) ).

fof(f2545,plain,
    ( $false
    | ~ spl0_53
    | ~ spl0_55 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2544,f216]) ).

fof(f2546,plain,
    ( ~ spl0_53
    | ~ spl0_55 ),
    inference(contradiction_clause,[status(thm)],[f2545]) ).

fof(f2547,plain,
    ( op2(e20,e20) != e21
    | ~ spl0_69 ),
    inference(paramodulation,[status(thm)],[f1139,f188]) ).

fof(f2548,plain,
    ( ~ spl0_65
    | ~ spl0_69 ),
    inference(split_clause,[status(thm)],[f2547,f1125,f1138]) ).

fof(f2549,plain,
    ( ~ spl0_64
    | ~ spl0_80 ),
    inference(split_clause,[status(thm)],[f2439,f1122,f1174]) ).

fof(f2550,plain,
    ( op2(e21,e20) != e20
    | ~ spl0_112 ),
    inference(paramodulation,[status(thm)],[f1279,f168]) ).

fof(f2551,plain,
    ( ~ spl0_80
    | ~ spl0_112 ),
    inference(split_clause,[status(thm)],[f2550,f1174,f1278]) ).

fof(f2552,plain,
    ( op2(e20,e20) != e20
    | ~ spl0_112 ),
    inference(paramodulation,[status(thm)],[f1279,f166]) ).

fof(f2553,plain,
    ( ~ spl0_64
    | ~ spl0_112 ),
    inference(split_clause,[status(thm)],[f2552,f1122,f1278]) ).

fof(f2555,plain,
    ( ~ spl0_66
    | ~ spl0_74 ),
    inference(split_clause,[status(thm)],[f2461,f1128,f1154]) ).

fof(f2556,plain,
    ( e21 = e22
    | ~ spl0_106 ),
    inference(forward_demodulation,[status(thm)],[f272,f1259]) ).

fof(f2557,plain,
    ( $false
    | ~ spl0_106 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2556,f221]) ).

fof(f2558,plain,
    ~ spl0_106,
    inference(contradiction_clause,[status(thm)],[f2557]) ).

fof(f2559,plain,
    ( e21 = e23
    | ~ spl0_107 ),
    inference(forward_demodulation,[status(thm)],[f272,f1262]) ).

fof(f2560,plain,
    ( $false
    | ~ spl0_107 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2559,f222]) ).

fof(f2561,plain,
    ~ spl0_107,
    inference(contradiction_clause,[status(thm)],[f2560]) ).

fof(f2563,plain,
    ( op2(e20,e22) != e23
    | ~ spl0_79 ),
    inference(paramodulation,[status(thm)],[f1171,f193]) ).

fof(f2565,plain,
    ( op2(e20,e20) != e23
    | ~ spl0_79 ),
    inference(paramodulation,[status(thm)],[f1171,f190]) ).

fof(f2566,plain,
    ( ~ spl0_67
    | ~ spl0_79 ),
    inference(split_clause,[status(thm)],[f2565,f1131,f1170]) ).

fof(f2567,plain,
    e13 = op1(e12,e11),
    inference(forward_demodulation,[status(thm)],[f269,f270]) ).

fof(f2568,plain,
    ( h1(e13) != op2(h1(e12),h1(e11))
    | spl0_141 ),
    inference(backward_demodulation,[status(thm)],[f2567,f1425]) ).

fof(f2569,plain,
    ( h2(e13) != op2(h2(e12),h2(e11))
    | spl0_164 ),
    inference(backward_demodulation,[status(thm)],[f2567,f1498]) ).

fof(f2570,plain,
    ( h3(e13) != op2(h3(e12),h3(e11))
    | spl0_187 ),
    inference(backward_demodulation,[status(thm)],[f2567,f1571]) ).

fof(f2571,plain,
    ( h4(e13) != op2(h4(e12),h4(e11))
    | spl0_210 ),
    inference(backward_demodulation,[status(thm)],[f2567,f1644]) ).

fof(f2576,plain,
    e23 = op2(e22,e21),
    inference(forward_demodulation,[status(thm)],[f272,f273]) ).

fof(f2577,plain,
    h3(e13) = e23,
    inference(backward_demodulation,[status(thm)],[f2576,f2423]) ).

fof(f2578,plain,
    ( $false
    | spl0_200 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2577,f1613]) ).

fof(f2579,plain,
    spl0_200,
    inference(contradiction_clause,[status(thm)],[f2578]) ).

fof(f2583,plain,
    ( e23 = e21
    | ~ spl0_101 ),
    inference(backward_demodulation,[status(thm)],[f1243,f2576]) ).

fof(f2584,plain,
    ( $false
    | ~ spl0_101 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2583,f222]) ).

fof(f2585,plain,
    ~ spl0_101,
    inference(contradiction_clause,[status(thm)],[f2584]) ).

fof(f2586,plain,
    ( e13 = e11
    | ~ spl0_37 ),
    inference(backward_demodulation,[status(thm)],[f1003,f2567]) ).

fof(f2587,plain,
    ( $false
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2586,f216]) ).

fof(f2588,plain,
    ~ spl0_37,
    inference(contradiction_clause,[status(thm)],[f2587]) ).

fof(f2591,plain,
    ( op2(e21,e20) != e22
    | ~ spl0_90 ),
    inference(paramodulation,[status(thm)],[f1207,f195]) ).

fof(f2592,plain,
    ( op2(e20,e22) != e22
    | ~ spl0_90 ),
    inference(paramodulation,[status(thm)],[f1207,f176]) ).

fof(f2593,plain,
    ( ~ spl0_74
    | ~ spl0_90 ),
    inference(split_clause,[status(thm)],[f2592,f1154,f1206]) ).

fof(f2594,plain,
    ( ~ spl0_64
    | ~ spl0_96 ),
    inference(split_clause,[status(thm)],[f2444,f1122,f1226]) ).

fof(f2595,plain,
    ( h1(e12) != op2(h1(e11),h1(e12))
    | ~ spl0_26
    | spl0_138 ),
    inference(backward_demodulation,[status(thm)],[f967,f1416]) ).

fof(f2596,plain,
    ( h2(e12) != op2(h2(e11),h2(e12))
    | ~ spl0_26
    | spl0_161 ),
    inference(backward_demodulation,[status(thm)],[f967,f1489]) ).

fof(f2597,plain,
    ( h3(e12) != op2(h3(e11),h3(e12))
    | ~ spl0_26
    | spl0_184 ),
    inference(backward_demodulation,[status(thm)],[f967,f1562]) ).

fof(f2598,plain,
    ( h4(e12) != op2(h4(e11),h4(e12))
    | ~ spl0_26
    | spl0_207 ),
    inference(backward_demodulation,[status(thm)],[f967,f1635]) ).

fof(f2602,plain,
    ( op1(e10,e12) != e12
    | ~ spl0_26 ),
    inference(paramodulation,[status(thm)],[f967,f128]) ).

fof(f2603,plain,
    ( e12 != e12
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f915,f2602]) ).

fof(f2604,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(trivial_equality_resolution,[status(esa)],[f2603]) ).

fof(f2605,plain,
    ( ~ spl0_10
    | ~ spl0_26 ),
    inference(contradiction_clause,[status(thm)],[f2604]) ).

fof(f2606,plain,
    ( op2(e21,e22) != e23
    | ~ spl0_95 ),
    inference(paramodulation,[status(thm)],[f1223,f199]) ).

fof(f2610,plain,
    ( op2(e21,e20) != e23
    | ~ spl0_95 ),
    inference(paramodulation,[status(thm)],[f1223,f196]) ).

fof(f2611,plain,
    ( op2(e20,e23) != e23
    | ~ spl0_95 ),
    inference(paramodulation,[status(thm)],[f1223,f182]) ).

fof(f2612,plain,
    ( ~ spl0_79
    | ~ spl0_95 ),
    inference(split_clause,[status(thm)],[f2611,f1170,f1222]) ).

fof(f2614,plain,
    ( h2(e13) != op2(h2(e11),h2(e13))
    | ~ spl0_31
    | spl0_162 ),
    inference(backward_demodulation,[status(thm)],[f983,f1492]) ).

fof(f2615,plain,
    ( h3(e13) != op2(h3(e11),h3(e13))
    | ~ spl0_31
    | spl0_185 ),
    inference(backward_demodulation,[status(thm)],[f983,f1565]) ).

fof(f2617,plain,
    ( op1(e11,e12) != e13
    | ~ spl0_31 ),
    inference(paramodulation,[status(thm)],[f983,f151]) ).

fof(f2619,plain,
    ( op1(e11,e10) != e13
    | ~ spl0_31 ),
    inference(paramodulation,[status(thm)],[f983,f148]) ).

fof(f2620,plain,
    ( op1(e10,e13) != e13
    | ~ spl0_31 ),
    inference(paramodulation,[status(thm)],[f983,f134]) ).

fof(f2623,plain,
    ( op2(e22,e21) != e23
    | ~ spl0_111 ),
    inference(paramodulation,[status(thm)],[f1275,f204]) ).

fof(f2628,plain,
    ( e12 = e13
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[status(thm)],[f915,f918]) ).

fof(f2629,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2628,f217]) ).

fof(f2630,plain,
    ( ~ spl0_10
    | ~ spl0_11 ),
    inference(contradiction_clause,[status(thm)],[f2629]) ).

fof(f2631,plain,
    ( e21 = e23
    | ~ spl0_117
    | ~ spl0_119 ),
    inference(forward_demodulation,[status(thm)],[f1295,f1301]) ).

fof(f2632,plain,
    ( $false
    | ~ spl0_117
    | ~ spl0_119 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2631,f222]) ).

fof(f2633,plain,
    ( ~ spl0_117
    | ~ spl0_119 ),
    inference(contradiction_clause,[status(thm)],[f2632]) ).

fof(f2640,plain,
    ( op1(e12,e11) != e13
    | ~ spl0_47 ),
    inference(paramodulation,[status(thm)],[f1035,f156]) ).

fof(f2647,plain,
    ( op1(e11,e10) != e10
    | ~ spl0_48 ),
    inference(paramodulation,[status(thm)],[f1039,f120]) ).

fof(f2648,plain,
    ( ~ spl0_16
    | ~ spl0_48 ),
    inference(split_clause,[status(thm)],[f2647,f934,f1038]) ).

fof(f2651,plain,
    ( e11 = e13
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f899,f905]) ).

fof(f2652,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2651,f216]) ).

fof(f2653,plain,
    ( ~ spl0_5
    | ~ spl0_7 ),
    inference(contradiction_clause,[status(thm)],[f2652]) ).

fof(f2655,plain,
    ( op2(e21,e22) != e22
    | ~ spl0_94 ),
    inference(paramodulation,[status(thm)],[f1220,f199]) ).

fof(f2656,plain,
    ( e22 != e22
    | ~ spl0_90
    | ~ spl0_94 ),
    inference(forward_demodulation,[status(thm)],[f1207,f2655]) ).

fof(f2657,plain,
    ( $false
    | ~ spl0_90
    | ~ spl0_94 ),
    inference(trivial_equality_resolution,[status(esa)],[f2656]) ).

fof(f2658,plain,
    ( ~ spl0_90
    | ~ spl0_94 ),
    inference(contradiction_clause,[status(thm)],[f2657]) ).

fof(f2659,plain,
    ( op2(e20,e22) != e22
    | ~ spl0_78 ),
    inference(paramodulation,[status(thm)],[f1168,f193]) ).

fof(f2660,plain,
    ( ~ spl0_74
    | ~ spl0_78 ),
    inference(split_clause,[status(thm)],[f2659,f1154,f1167]) ).

fof(f2663,plain,
    ( e22 = e23
    | ~ spl0_78
    | ~ spl0_79 ),
    inference(forward_demodulation,[status(thm)],[f1168,f1171]) ).

fof(f2664,plain,
    ( $false
    | ~ spl0_78
    | ~ spl0_79 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2663,f223]) ).

fof(f2665,plain,
    ( ~ spl0_78
    | ~ spl0_79 ),
    inference(contradiction_clause,[status(thm)],[f2664]) ).

fof(f2670,plain,
    ( op2(e20,e21) != e22
    | ~ spl0_118 ),
    inference(paramodulation,[status(thm)],[f1298,f172]) ).

fof(f2671,plain,
    ( op2(e22,e20) != e22
    | ~ spl0_114 ),
    inference(paramodulation,[status(thm)],[f1285,f169]) ).

fof(f2672,plain,
    ( op2(e21,e20) != e22
    | ~ spl0_114 ),
    inference(paramodulation,[status(thm)],[f1285,f168]) ).

fof(f2673,plain,
    ( op2(e20,e20) != e22
    | ~ spl0_114 ),
    inference(paramodulation,[status(thm)],[f1285,f166]) ).

fof(f2674,plain,
    ( ~ spl0_66
    | ~ spl0_114 ),
    inference(split_clause,[status(thm)],[f2673,f1128,f1284]) ).

fof(f2675,plain,
    ( op2(e22,e22) != e21
    | ~ spl0_109 ),
    inference(paramodulation,[status(thm)],[f1269,f205]) ).

fof(f2676,plain,
    ( ~ spl0_105
    | ~ spl0_109 ),
    inference(split_clause,[status(thm)],[f2675,f1255,f1268]) ).

fof(f2681,plain,
    ( op2(e20,e22) != e21
    | ~ spl0_77 ),
    inference(paramodulation,[status(thm)],[f1165,f193]) ).

fof(f2682,plain,
    ( op2(e20,e21) != e21
    | ~ spl0_77 ),
    inference(paramodulation,[status(thm)],[f1165,f192]) ).

fof(f2683,plain,
    ( ~ spl0_69
    | ~ spl0_77 ),
    inference(split_clause,[status(thm)],[f2682,f1138,f1164]) ).

fof(f2684,plain,
    ( op2(e20,e20) != e21
    | ~ spl0_77 ),
    inference(paramodulation,[status(thm)],[f1165,f190]) ).

fof(f2687,plain,
    ( op2(e22,e22) != e21
    | ~ spl0_121 ),
    inference(paramodulation,[status(thm)],[f1308,f181]) ).

fof(f2688,plain,
    ( ~ spl0_105
    | ~ spl0_121 ),
    inference(split_clause,[status(thm)],[f2687,f1255,f1307]) ).

fof(f2692,plain,
    ( op2(e22,e20) != e21
    | ~ spl0_113 ),
    inference(paramodulation,[status(thm)],[f1282,f169]) ).

fof(f2699,plain,
    ( op2(e20,e23) != e20
    | ~ spl0_108 ),
    inference(paramodulation,[status(thm)],[f1266,f183]) ).

fof(f2700,plain,
    ( ~ spl0_76
    | ~ spl0_108 ),
    inference(split_clause,[status(thm)],[f2699,f1161,f1265]) ).

fof(f2702,plain,
    ( op2(e21,e21) != e20
    | ~ spl0_92 ),
    inference(paramodulation,[status(thm)],[f1214,f198]) ).

fof(f2703,plain,
    ( ~ spl0_84
    | ~ spl0_92 ),
    inference(split_clause,[status(thm)],[f2702,f1187,f1213]) ).

fof(f2712,plain,
    ( op2(e20,e22) != e20
    | ~ spl0_120 ),
    inference(paramodulation,[status(thm)],[f1305,f178]) ).

fof(f2713,plain,
    ( ~ spl0_72
    | ~ spl0_120 ),
    inference(split_clause,[status(thm)],[f2712,f1148,f1304]) ).

fof(f2716,plain,
    ( op2(e21,e21) != e20
    | ~ spl0_116 ),
    inference(paramodulation,[status(thm)],[f1292,f174]) ).

fof(f2717,plain,
    ( ~ spl0_84
    | ~ spl0_116 ),
    inference(split_clause,[status(thm)],[f2716,f1187,f1291]) ).

fof(f2723,plain,
    ( op2(e20,e22) != e23
    | ~ spl0_91 ),
    inference(paramodulation,[status(thm)],[f1210,f176]) ).

fof(f2731,plain,
    ( op2(e20,e21) != e23
    | ~ spl0_103 ),
    inference(paramodulation,[status(thm)],[f1249,f171]) ).

fof(f2732,plain,
    ( op2(e21,e20) != e23
    | ~ spl0_99 ),
    inference(paramodulation,[status(thm)],[f1236,f167]) ).

fof(f2733,plain,
    ( op2(e20,e20) != e23
    | ~ spl0_99 ),
    inference(paramodulation,[status(thm)],[f1236,f165]) ).

fof(f2734,plain,
    ( ~ spl0_67
    | ~ spl0_99 ),
    inference(split_clause,[status(thm)],[f2733,f1131,f1235]) ).

fof(f2735,plain,
    ( op2(e20,e21) != e21
    | ~ spl0_73 ),
    inference(paramodulation,[status(thm)],[f1152,f191]) ).

fof(f2736,plain,
    ( ~ spl0_69
    | ~ spl0_73 ),
    inference(split_clause,[status(thm)],[f2735,f1138,f1151]) ).

fof(f2737,plain,
    ( op2(e20,e20) != e21
    | ~ spl0_73 ),
    inference(paramodulation,[status(thm)],[f1152,f189]) ).

fof(f2738,plain,
    ( op2(e21,e20) != e21
    | ~ spl0_97 ),
    inference(paramodulation,[status(thm)],[f1230,f167]) ).

fof(f2740,plain,
    ( op2(e21,e21) != e20
    | ~ spl0_88 ),
    inference(paramodulation,[status(thm)],[f1201,f197]) ).

fof(f2741,plain,
    ( ~ spl0_84
    | ~ spl0_88 ),
    inference(split_clause,[status(thm)],[f2740,f1187,f1200]) ).

fof(f2747,plain,
    ( op2(e21,e21) != e20
    | ~ spl0_100 ),
    inference(paramodulation,[status(thm)],[f1240,f173]) ).

fof(f2748,plain,
    ( ~ spl0_84
    | ~ spl0_100 ),
    inference(split_clause,[status(thm)],[f2747,f1187,f1239]) ).

fof(f2750,plain,
    ( e21 = e22
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(forward_demodulation,[status(thm)],[f1230,f1233]) ).

fof(f2751,plain,
    ( $false
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2750,f221]) ).

fof(f2752,plain,
    ( ~ spl0_97
    | ~ spl0_98 ),
    inference(contradiction_clause,[status(thm)],[f2751]) ).

fof(f2753,plain,
    ( op2(e20,e20) != e23
    | ~ spl0_83 ),
    inference(paramodulation,[status(thm)],[f1184,f164]) ).

fof(f2754,plain,
    ( ~ spl0_67
    | ~ spl0_83 ),
    inference(split_clause,[status(thm)],[f2753,f1131,f1183]) ).

fof(f2755,plain,
    ( op2(e20,e20) != e22
    | ~ spl0_70 ),
    inference(paramodulation,[status(thm)],[f1142,f188]) ).

fof(f2756,plain,
    ( op2(e20,e20) != e22
    | ~ spl0_82 ),
    inference(paramodulation,[status(thm)],[f1181,f164]) ).

fof(f2761,plain,
    ( op1(e10,e12) != e12
    | ~ spl0_14 ),
    inference(paramodulation,[status(thm)],[f928,f145]) ).

fof(f2762,plain,
    ( op1(e10,e11) != e12
    | ~ spl0_14 ),
    inference(paramodulation,[status(thm)],[f928,f144]) ).

fof(f2764,plain,
    ( op1(e10,e10) != e12
    | ~ spl0_14 ),
    inference(paramodulation,[status(thm)],[f928,f142]) ).

fof(f2768,plain,
    ( op1(e10,e11) != e12
    | ~ spl0_54 ),
    inference(paramodulation,[status(thm)],[f1058,f124]) ).

fof(f2770,plain,
    ( op1(e12,e10) != e12
    | ~ spl0_50 ),
    inference(paramodulation,[status(thm)],[f1045,f121]) ).

fof(f2771,plain,
    ( op1(e11,e10) != e12
    | ~ spl0_50 ),
    inference(paramodulation,[status(thm)],[f1045,f120]) ).

fof(f2772,plain,
    ( op1(e10,e10) != e12
    | ~ spl0_50 ),
    inference(paramodulation,[status(thm)],[f1045,f118]) ).

fof(f2776,plain,
    ( e11 = e12
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(backward_demodulation,[status(thm)],[f925,f928]) ).

fof(f2777,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2776,f215]) ).

fof(f2778,plain,
    ( ~ spl0_13
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f2777]) ).

fof(f2779,plain,
    ( op1(e11,e10) != e11
    | ~ spl0_33 ),
    inference(paramodulation,[status(thm)],[f990,f119]) ).

fof(f2780,plain,
    ( ~ spl0_17
    | ~ spl0_33 ),
    inference(split_clause,[status(thm)],[f2779,f937,f989]) ).

fof(f2783,plain,
    ( op1(e11,e11) != e10
    | ~ spl0_36 ),
    inference(paramodulation,[status(thm)],[f1000,f125]) ).

fof(f2786,plain,
    ( e11 = e12
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f899,f902]) ).

fof(f2787,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2786,f215]) ).

fof(f2788,plain,
    ( ~ spl0_5
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f2787]) ).

fof(f2790,plain,
    ( op1(e10,e10) != e12
    | ~ spl0_18 ),
    inference(paramodulation,[status(thm)],[f941,f116]) ).

fof(f2791,plain,
    ( ~ spl0_2
    | ~ spl0_18 ),
    inference(split_clause,[status(thm)],[f2790,f888,f940]) ).

fof(f2793,plain,
    ( op1(e10,e10) != e12
    | ~ spl0_34 ),
    inference(paramodulation,[status(thm)],[f993,f117]) ).

fof(f2794,plain,
    ( ~ spl0_2
    | ~ spl0_34 ),
    inference(split_clause,[status(thm)],[f2793,f888,f992]) ).

fof(f2795,plain,
    ( e12 != e12
    | ~ spl0_34
    | ~ spl0_50 ),
    inference(forward_demodulation,[status(thm)],[f993,f2770]) ).

fof(f2796,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_50 ),
    inference(trivial_equality_resolution,[status(esa)],[f2795]) ).

fof(f2797,plain,
    ( ~ spl0_34
    | ~ spl0_50 ),
    inference(contradiction_clause,[status(thm)],[f2796]) ).

fof(f2798,plain,
    ( e12 = e13
    | ~ spl0_34
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f993,f996]) ).

fof(f2799,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2798,f217]) ).

fof(f2800,plain,
    ( ~ spl0_34
    | ~ spl0_35 ),
    inference(contradiction_clause,[status(thm)],[f2799]) ).

fof(f2802,plain,
    ( ~ spl0_6
    | ~ spl0_54 ),
    inference(split_clause,[status(thm)],[f2768,f901,f1057]) ).

fof(f2804,plain,
    ( h1(e10) != op2(h1(e11),h1(e11))
    | spl0_137 ),
    inference(backward_demodulation,[status(thm)],[f2379,f1413]) ).

fof(f2805,plain,
    e10 != op1(e11,e13),
    inference(backward_demodulation,[status(thm)],[f2379,f150]) ).

fof(f2806,plain,
    e10 != op1(e11,e12),
    inference(backward_demodulation,[status(thm)],[f2379,f149]) ).

fof(f2807,plain,
    e10 != op1(e13,e11),
    inference(backward_demodulation,[status(thm)],[f2379,f126]) ).

fof(f2809,plain,
    ( h2(e10) != op2(h2(e11),h2(e11))
    | spl0_160 ),
    inference(backward_demodulation,[status(thm)],[f2379,f1486]) ).

fof(f2810,plain,
    ( h3(e10) != op2(h3(e11),h3(e11))
    | spl0_183 ),
    inference(backward_demodulation,[status(thm)],[f2379,f1559]) ).

fof(f2811,plain,
    ( h4(e10) != op2(h4(e11),h4(e11))
    | spl0_206 ),
    inference(backward_demodulation,[status(thm)],[f2379,f1632]) ).

fof(f2814,plain,
    h2(e11) = e20,
    inference(backward_demodulation,[status(thm)],[f2389,f280]) ).

fof(f2815,plain,
    ( $false
    | spl0_241 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2814,f1776]) ).

fof(f2816,plain,
    spl0_241,
    inference(contradiction_clause,[status(thm)],[f2815]) ).

fof(f2823,plain,
    ( h2(e11) != e20
    | spl0_252 ),
    inference(backward_demodulation,[status(thm)],[f2410,f1820]) ).

fof(f2824,plain,
    ( ~ spl0_241
    | spl0_252 ),
    inference(split_clause,[status(thm)],[f2823,f1774,f1818]) ).

fof(f2825,plain,
    ( h1(e11) != op2(h1(e12),e20)
    | spl0_142 ),
    inference(backward_demodulation,[status(thm)],[f274,f2380]) ).

fof(f2826,plain,
    ( h1(e11) != op2(e20,e20)
    | spl0_142 ),
    inference(forward_demodulation,[status(thm)],[f274,f2825]) ).

fof(f2827,plain,
    ( h1(e11) != h1(e11)
    | spl0_142 ),
    inference(forward_demodulation,[status(thm)],[f276,f2826]) ).

fof(f2828,plain,
    ( $false
    | spl0_142 ),
    inference(trivial_equality_resolution,[status(esa)],[f2827]) ).

fof(f2829,plain,
    spl0_142,
    inference(contradiction_clause,[status(thm)],[f2828]) ).

fof(f2836,plain,
    ( h2(e11) != op2(h2(e12),e21)
    | spl0_165 ),
    inference(backward_demodulation,[status(thm)],[f278,f2381]) ).

fof(f2837,plain,
    ( h2(e11) != op2(e21,e21)
    | spl0_165 ),
    inference(forward_demodulation,[status(thm)],[f278,f2836]) ).

fof(f2841,plain,
    ( h3(e11) != op2(h3(e12),e22)
    | spl0_188 ),
    inference(backward_demodulation,[status(thm)],[f282,f2382]) ).

fof(f2842,plain,
    ( h3(e11) != op2(e22,e22)
    | spl0_188 ),
    inference(forward_demodulation,[status(thm)],[f282,f2841]) ).

fof(f2847,plain,
    ( h3(op1(e10,e12)) != op2(h2(e11),e22)
    | spl0_180 ),
    inference(forward_demodulation,[status(thm)],[f282,f2415]) ).

fof(f2848,plain,
    ( h3(e12) != op2(h3(e12),h2(e11))
    | ~ spl0_34
    | spl0_186 ),
    inference(forward_demodulation,[status(thm)],[f993,f2418]) ).

fof(f2849,plain,
    ( h3(e12) != op2(e22,h2(e11))
    | ~ spl0_34
    | spl0_186 ),
    inference(forward_demodulation,[status(thm)],[f282,f2848]) ).

fof(f2850,plain,
    ( h3(op1(e11,e10)) != op2(e21,h2(e11))
    | ~ spl0_257
    | spl0_182 ),
    inference(backward_demodulation,[status(thm)],[f1839,f2417]) ).

fof(f2851,plain,
    ( h3(op1(e10,e11)) != op2(h2(e11),e21)
    | ~ spl0_257
    | spl0_179 ),
    inference(backward_demodulation,[status(thm)],[f1839,f2414]) ).

fof(f2855,plain,
    ( h4(e11) != op2(h4(e12),e23)
    | ~ spl0_222
    | spl0_211 ),
    inference(backward_demodulation,[status(thm)],[f1681,f2383]) ).

fof(f2856,plain,
    ( h4(e11) != op2(e23,e23)
    | ~ spl0_222
    | spl0_211 ),
    inference(forward_demodulation,[status(thm)],[f1681,f2855]) ).

fof(f2857,plain,
    ( h4(e11) != h4(e11)
    | ~ spl0_222
    | spl0_211 ),
    inference(forward_demodulation,[status(thm)],[f288,f2856]) ).

fof(f2858,plain,
    ( $false
    | ~ spl0_222
    | spl0_211 ),
    inference(trivial_equality_resolution,[status(esa)],[f2857]) ).

fof(f2859,plain,
    ( ~ spl0_222
    | spl0_211 ),
    inference(contradiction_clause,[status(thm)],[f2858]) ).

fof(f2870,plain,
    ( h4(e12) != op2(h4(e12),h4(e10))
    | ~ spl0_34
    | spl0_209 ),
    inference(forward_demodulation,[status(thm)],[f993,f1641]) ).

fof(f2871,plain,
    ( h4(e12) != op2(e23,h4(e10))
    | ~ spl0_222
    | ~ spl0_34
    | spl0_209 ),
    inference(forward_demodulation,[status(thm)],[f1681,f2870]) ).

fof(f2872,plain,
    ( h1(op1(e13,e12)) != op2(h1(e13),e20)
    | spl0_146 ),
    inference(forward_demodulation,[status(thm)],[f274,f1440]) ).

fof(f2873,plain,
    ( h2(op1(e13,e12)) != op2(h2(e13),e21)
    | spl0_169 ),
    inference(forward_demodulation,[status(thm)],[f278,f1513]) ).

fof(f2874,plain,
    ( h3(op1(e13,e12)) != op2(h3(e13),e22)
    | spl0_192 ),
    inference(forward_demodulation,[status(thm)],[f282,f1586]) ).

fof(f2875,plain,
    ( h4(op1(e13,e12)) != op2(h4(e13),e23)
    | ~ spl0_222
    | spl0_215 ),
    inference(forward_demodulation,[status(thm)],[f1681,f1659]) ).

fof(f2876,plain,
    ( h3(op1(e13,e11)) != op2(h3(e13),e21)
    | ~ spl0_257
    | spl0_191 ),
    inference(forward_demodulation,[status(thm)],[f1839,f1583]) ).

fof(f2877,plain,
    ( h1(e13) != op2(e20,h1(e11))
    | spl0_141 ),
    inference(forward_demodulation,[status(thm)],[f274,f2568]) ).

fof(f2878,plain,
    ( h1(e13) != h1(e13)
    | spl0_141 ),
    inference(forward_demodulation,[status(thm)],[f2398,f2877]) ).

fof(f2879,plain,
    ( $false
    | spl0_141 ),
    inference(trivial_equality_resolution,[status(esa)],[f2878]) ).

fof(f2880,plain,
    spl0_141,
    inference(contradiction_clause,[status(thm)],[f2879]) ).

fof(f2883,plain,
    ( h2(e13) != op2(e21,h2(e11))
    | spl0_164 ),
    inference(forward_demodulation,[status(thm)],[f278,f2569]) ).

fof(f2884,plain,
    ( h2(e13) != h2(e13)
    | spl0_164 ),
    inference(forward_demodulation,[status(thm)],[f2405,f2883]) ).

fof(f2885,plain,
    ( $false
    | spl0_164 ),
    inference(trivial_equality_resolution,[status(esa)],[f2884]) ).

fof(f2886,plain,
    spl0_164,
    inference(contradiction_clause,[status(thm)],[f2885]) ).

fof(f2889,plain,
    ( h3(e13) != op2(e22,h3(e11))
    | spl0_187 ),
    inference(forward_demodulation,[status(thm)],[f282,f2570]) ).

fof(f2890,plain,
    ( h3(e13) != op2(e22,e21)
    | ~ spl0_257
    | spl0_187 ),
    inference(forward_demodulation,[status(thm)],[f1839,f2889]) ).

fof(f2891,plain,
    ( h4(e13) != op2(e23,h4(e11))
    | ~ spl0_222
    | spl0_210 ),
    inference(forward_demodulation,[status(thm)],[f1681,f2571]) ).

fof(f2892,plain,
    ( h4(e13) != h4(e13)
    | ~ spl0_222
    | spl0_210 ),
    inference(forward_demodulation,[status(thm)],[f2438,f2891]) ).

fof(f2893,plain,
    ( $false
    | ~ spl0_222
    | spl0_210 ),
    inference(trivial_equality_resolution,[status(esa)],[f2892]) ).

fof(f2894,plain,
    ( ~ spl0_222
    | spl0_210 ),
    inference(contradiction_clause,[status(thm)],[f2893]) ).

fof(f2897,plain,
    ( h3(op1(e13,e11)) != op2(e23,e21)
    | ~ spl0_200
    | ~ spl0_257
    | spl0_191 ),
    inference(backward_demodulation,[status(thm)],[f1612,f2876]) ).

fof(f2898,plain,
    ( h3(op1(e13,e12)) != op2(e23,e22)
    | ~ spl0_200
    | spl0_192 ),
    inference(backward_demodulation,[status(thm)],[f1612,f2874]) ).

fof(f2899,plain,
    ( h3(op1(e13,e10)) != op2(e23,h2(e11))
    | ~ spl0_200
    | spl0_190 ),
    inference(backward_demodulation,[status(thm)],[f1612,f2419]) ).

fof(f2900,plain,
    ( h3(op1(e10,e13)) != op2(h2(e11),e23)
    | ~ spl0_200
    | spl0_181 ),
    inference(backward_demodulation,[status(thm)],[f1612,f2416]) ).

fof(f2901,plain,
    ( h3(op1(e13,e13)) != op2(h3(e13),e23)
    | ~ spl0_200
    | spl0_193 ),
    inference(backward_demodulation,[status(thm)],[f1612,f1589]) ).

fof(f2902,plain,
    ( h3(op1(e13,e13)) != op2(e23,e23)
    | ~ spl0_200
    | spl0_193 ),
    inference(forward_demodulation,[status(thm)],[f1612,f2901]) ).

fof(f2906,plain,
    ( h1(op1(e11,e12)) != op2(h1(e11),e20)
    | spl0_138 ),
    inference(forward_demodulation,[status(thm)],[f274,f1416]) ).

fof(f2910,plain,
    ( h4(op1(e11,e12)) != op2(h4(e11),e23)
    | ~ spl0_222
    | spl0_207 ),
    inference(forward_demodulation,[status(thm)],[f1681,f1635]) ).

fof(f2916,plain,
    ( h1(op1(e10,e12)) != op2(h1(e10),e20)
    | spl0_134 ),
    inference(forward_demodulation,[status(thm)],[f274,f1404]) ).

fof(f2917,plain,
    ( h2(op1(e10,e12)) != op2(h2(e10),e21)
    | spl0_157 ),
    inference(forward_demodulation,[status(thm)],[f278,f1477]) ).

fof(f2918,plain,
    ( h4(op1(e10,e12)) != op2(h4(e10),e23)
    | ~ spl0_222
    | spl0_203 ),
    inference(forward_demodulation,[status(thm)],[f1681,f1623]) ).

fof(f2930,plain,
    ( h1(e10) != op2(h1(e13),h1(e13))
    | ~ spl0_60
    | spl0_147 ),
    inference(backward_demodulation,[status(thm)],[f1078,f1443]) ).

fof(f2933,plain,
    ( op1(e13,e12) != e10
    | ~ spl0_60 ),
    inference(paramodulation,[status(thm)],[f1078,f163]) ).

fof(f2938,plain,
    ( op1(e10,e13) != e10
    | ~ spl0_60 ),
    inference(paramodulation,[status(thm)],[f1078,f136]) ).

fof(f2939,plain,
    ( ~ spl0_12
    | ~ spl0_60 ),
    inference(split_clause,[status(thm)],[f2938,f921,f1077]) ).

fof(f2941,plain,
    ( h2(e10) != op2(e21,h2(e10))
    | ~ spl0_32
    | spl0_163 ),
    inference(forward_demodulation,[status(thm)],[f278,f2488]) ).

fof(f2942,plain,
    ( h4(e10) != op2(e23,h4(e10))
    | ~ spl0_222
    | ~ spl0_32
    | spl0_209 ),
    inference(forward_demodulation,[status(thm)],[f1681,f2489]) ).

fof(f2943,plain,
    ( ~ spl0_1
    | ~ spl0_5 ),
    inference(split_clause,[status(thm)],[f2534,f885,f898]) ).

fof(f2950,plain,
    ( e10 = e12
    | ~ spl0_60
    | ~ spl0_62 ),
    inference(forward_demodulation,[status(thm)],[f1078,f1084]) ).

fof(f2951,plain,
    ( $false
    | ~ spl0_60
    | ~ spl0_62 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2950,f213]) ).

fof(f2952,plain,
    ( ~ spl0_60
    | ~ spl0_62 ),
    inference(contradiction_clause,[status(thm)],[f2951]) ).

fof(f2953,plain,
    ( h3(op1(e11,e13)) != op2(e21,h3(e13))
    | ~ spl0_257
    | spl0_185 ),
    inference(forward_demodulation,[status(thm)],[f1839,f1565]) ).

fof(f2954,plain,
    ( h3(op1(e11,e13)) != op2(e21,e23)
    | ~ spl0_200
    | ~ spl0_257
    | spl0_185 ),
    inference(forward_demodulation,[status(thm)],[f1612,f2953]) ).

fof(f2956,plain,
    ( h4(e13) != op2(h4(e13),e23)
    | ~ spl0_59
    | ~ spl0_222
    | spl0_215 ),
    inference(backward_demodulation,[status(thm)],[f1074,f2875]) ).

fof(f2959,plain,
    ( op1(e13,e11) != e13
    | ~ spl0_59 ),
    inference(paramodulation,[status(thm)],[f1074,f161]) ).

fof(f2960,plain,
    ( op1(e13,e10) != e13
    | ~ spl0_59 ),
    inference(paramodulation,[status(thm)],[f1074,f159]) ).

fof(f2963,plain,
    ( op1(e11,e12) != e13
    | ~ spl0_59 ),
    inference(paramodulation,[status(thm)],[f1074,f132]) ).

fof(f2964,plain,
    ( op1(e10,e12) != e13
    | ~ spl0_59 ),
    inference(paramodulation,[status(thm)],[f1074,f130]) ).

fof(f2965,plain,
    ( e21 = e23
    | ~ spl0_113
    | ~ spl0_115 ),
    inference(forward_demodulation,[status(thm)],[f1282,f1288]) ).

fof(f2966,plain,
    ( $false
    | ~ spl0_113
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2965,f222]) ).

fof(f2967,plain,
    ( ~ spl0_113
    | ~ spl0_115 ),
    inference(contradiction_clause,[status(thm)],[f2966]) ).

fof(f2968,plain,
    ( h4(e11) = e20
    | ~ spl0_124 ),
    inference(backward_demodulation,[status(thm)],[f1318,f288]) ).

fof(f2969,plain,
    ( $false
    | spl0_265
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2968,f1872]) ).

fof(f2970,plain,
    ( spl0_265
    | ~ spl0_124 ),
    inference(contradiction_clause,[status(thm)],[f2969]) ).

fof(f2971,plain,
    ( op2(e23,e22) != e20
    | ~ spl0_124 ),
    inference(paramodulation,[status(thm)],[f1318,f211]) ).

fof(f2974,plain,
    ( op2(e22,e23) != e20
    | ~ spl0_124 ),
    inference(paramodulation,[status(thm)],[f1318,f187]) ).

fof(f2976,plain,
    ( op2(e20,e23) != e20
    | ~ spl0_124 ),
    inference(paramodulation,[status(thm)],[f1318,f184]) ).

fof(f2977,plain,
    ( ~ spl0_76
    | ~ spl0_124 ),
    inference(split_clause,[status(thm)],[f2976,f1161,f1317]) ).

fof(f2981,plain,
    ( ~ spl0_7
    | ~ spl0_15 ),
    inference(split_clause,[status(thm)],[f2540,f904,f930]) ).

fof(f2985,plain,
    ( ~ spl0_71
    | ~ spl0_103 ),
    inference(split_clause,[status(thm)],[f2731,f1144,f1248]) ).

fof(f2986,plain,
    ( ~ spl0_65
    | ~ spl0_77 ),
    inference(split_clause,[status(thm)],[f2684,f1125,f1164]) ).

fof(f2987,plain,
    ( e22 = e23
    | ~ spl0_82
    | ~ spl0_83 ),
    inference(forward_demodulation,[status(thm)],[f1181,f1184]) ).

fof(f2988,plain,
    ( $false
    | ~ spl0_82
    | ~ spl0_83 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2987,f223]) ).

fof(f2989,plain,
    ( ~ spl0_82
    | ~ spl0_83 ),
    inference(contradiction_clause,[status(thm)],[f2988]) ).

fof(f2990,plain,
    ( op2(e20,e20) != e23
    | ~ spl0_75 ),
    inference(paramodulation,[status(thm)],[f1158,f189]) ).

fof(f2991,plain,
    ( op2(e23,e21) != e23
    | ~ spl0_123 ),
    inference(paramodulation,[status(thm)],[f1314,f209]) ).

fof(f2992,plain,
    ( op2(e23,e20) != e23
    | ~ spl0_123 ),
    inference(paramodulation,[status(thm)],[f1314,f207]) ).

fof(f2993,plain,
    ( ~ spl0_115
    | ~ spl0_123 ),
    inference(split_clause,[status(thm)],[f2992,f1287,f1313]) ).

fof(f2996,plain,
    ( op2(e21,e22) != e23
    | ~ spl0_123 ),
    inference(paramodulation,[status(thm)],[f1314,f180]) ).

fof(f2997,plain,
    ( op2(e20,e22) != e23
    | ~ spl0_123 ),
    inference(paramodulation,[status(thm)],[f1314,f178]) ).

fof(f2998,plain,
    ( ~ spl0_75
    | ~ spl0_123 ),
    inference(split_clause,[status(thm)],[f2997,f1157,f1313]) ).

fof(f3000,plain,
    ( ~ spl0_75
    | ~ spl0_91 ),
    inference(split_clause,[status(thm)],[f2723,f1157,f1209]) ).

fof(f3006,plain,
    ( ~ spl0_66
    | ~ spl0_70 ),
    inference(split_clause,[status(thm)],[f2755,f1128,f1141]) ).

fof(f3007,plain,
    ( ~ spl0_83
    | ~ spl0_99 ),
    inference(split_clause,[status(thm)],[f2732,f1183,f1235]) ).

fof(f3010,plain,
    ( ~ spl0_20
    | ~ spl0_36 ),
    inference(split_clause,[status(thm)],[f2783,f947,f999]) ).

fof(f3011,plain,
    ( ~ spl0_73
    | ~ spl0_77 ),
    inference(split_clause,[status(thm)],[f2681,f1151,f1164]) ).

fof(f3012,plain,
    ( e20 = e21
    | ~ spl0_85 ),
    inference(forward_demodulation,[status(thm)],[f2389,f1191]) ).

fof(f3013,plain,
    ( $false
    | ~ spl0_85 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3012,f218]) ).

fof(f3014,plain,
    ~ spl0_85,
    inference(contradiction_clause,[status(thm)],[f3013]) ).

fof(f3015,plain,
    ( e20 = e21
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(forward_demodulation,[status(thm)],[f1318,f1321]) ).

fof(f3016,plain,
    ( $false
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3015,f218]) ).

fof(f3017,plain,
    ( ~ spl0_124
    | ~ spl0_125 ),
    inference(contradiction_clause,[status(thm)],[f3016]) ).

fof(f3018,plain,
    ( h3(e13) != op2(e21,h3(e13))
    | ~ spl0_257
    | ~ spl0_31
    | spl0_185 ),
    inference(forward_demodulation,[status(thm)],[f1839,f2615]) ).

fof(f3019,plain,
    ( h3(e13) != op2(e21,e23)
    | ~ spl0_200
    | ~ spl0_257
    | ~ spl0_31
    | spl0_185 ),
    inference(forward_demodulation,[status(thm)],[f1612,f3018]) ).

fof(f3021,plain,
    ( ~ spl0_15
    | ~ spl0_31 ),
    inference(split_clause,[status(thm)],[f2620,f930,f982]) ).

fof(f3022,plain,
    ( h1(op1(e12,e13)) != op2(e20,h1(e13))
    | spl0_143 ),
    inference(forward_demodulation,[status(thm)],[f274,f1431]) ).

fof(f3023,plain,
    ( h2(op1(e12,e13)) != op2(e21,h2(e13))
    | spl0_166 ),
    inference(forward_demodulation,[status(thm)],[f278,f1504]) ).

fof(f3024,plain,
    ( h3(op1(e12,e13)) != op2(e22,h3(e13))
    | spl0_189 ),
    inference(forward_demodulation,[status(thm)],[f282,f1577]) ).

fof(f3025,plain,
    ( h3(op1(e12,e13)) != op2(e22,e23)
    | ~ spl0_200
    | spl0_189 ),
    inference(forward_demodulation,[status(thm)],[f1612,f3024]) ).

fof(f3026,plain,
    ( h4(op1(e12,e13)) != op2(e23,h4(e13))
    | ~ spl0_222
    | spl0_212 ),
    inference(forward_demodulation,[status(thm)],[f1681,f1650]) ).

fof(f3027,plain,
    ( h4(op1(e12,e10)) != op2(e23,h4(e10))
    | ~ spl0_222
    | spl0_209 ),
    inference(forward_demodulation,[status(thm)],[f1681,f1641]) ).

fof(f3029,plain,
    ( h1(op1(e12,e10)) != op2(e20,h1(e10))
    | spl0_140 ),
    inference(forward_demodulation,[status(thm)],[f274,f1422]) ).

fof(f3030,plain,
    ( h3(op1(e12,e10)) != op2(e22,h2(e11))
    | spl0_186 ),
    inference(forward_demodulation,[status(thm)],[f282,f2418]) ).

fof(f3036,plain,
    ( e10 = e13
    | ~ spl0_23 ),
    inference(forward_demodulation,[status(thm)],[f2379,f957]) ).

fof(f3037,plain,
    ( $false
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3036,f214]) ).

fof(f3038,plain,
    ~ spl0_23,
    inference(contradiction_clause,[status(thm)],[f3037]) ).

fof(f3041,plain,
    ( h1(e12) != op2(h1(e11),e20)
    | ~ spl0_26
    | spl0_138 ),
    inference(forward_demodulation,[status(thm)],[f274,f2595]) ).

fof(f3042,plain,
    ( h2(e12) != op2(h2(e11),e21)
    | ~ spl0_26
    | spl0_161 ),
    inference(forward_demodulation,[status(thm)],[f278,f2596]) ).

fof(f3043,plain,
    ( h3(e12) != op2(e21,h3(e12))
    | ~ spl0_257
    | ~ spl0_26
    | spl0_184 ),
    inference(forward_demodulation,[status(thm)],[f1839,f2597]) ).

fof(f3044,plain,
    ( h3(e12) != op2(e21,e22)
    | ~ spl0_257
    | ~ spl0_26
    | spl0_184 ),
    inference(forward_demodulation,[status(thm)],[f282,f3043]) ).

fof(f3045,plain,
    ( h4(e12) != op2(h4(e11),e23)
    | ~ spl0_222
    | ~ spl0_26
    | spl0_207 ),
    inference(forward_demodulation,[status(thm)],[f1681,f2598]) ).

fof(f3046,plain,
    ( ~ spl0_66
    | ~ spl0_82 ),
    inference(split_clause,[status(thm)],[f2756,f1128,f1180]) ).

fof(f3047,plain,
    ( e10 = e11
    | ~ spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f2379,f951]) ).

fof(f3048,plain,
    ( $false
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3047,f212]) ).

fof(f3049,plain,
    ~ spl0_21,
    inference(contradiction_clause,[status(thm)],[f3048]) ).

fof(f3050,plain,
    ( e10 = e11
    | ~ spl0_60
    | ~ spl0_61 ),
    inference(forward_demodulation,[status(thm)],[f1078,f1081]) ).

fof(f3051,plain,
    ( $false
    | ~ spl0_60
    | ~ spl0_61 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3050,f212]) ).

fof(f3052,plain,
    ( ~ spl0_60
    | ~ spl0_61 ),
    inference(contradiction_clause,[status(thm)],[f3051]) ).

fof(f3054,plain,
    ( ~ spl0_55
    | ~ spl0_59 ),
    inference(split_clause,[status(thm)],[f2959,f1060,f1073]) ).

fof(f3056,plain,
    ( h3(e13) != e23
    | ~ spl0_257
    | spl0_187 ),
    inference(paramodulation,[status(thm)],[f2576,f2890]) ).

fof(f3057,plain,
    ( ~ spl0_200
    | ~ spl0_257
    | spl0_187 ),
    inference(split_clause,[status(thm)],[f3056,f1611,f1838,f1569]) ).

fof(f3065,plain,
    ( e20 = e23
    | ~ spl0_124
    | ~ spl0_127 ),
    inference(forward_demodulation,[status(thm)],[f1318,f1327]) ).

fof(f3066,plain,
    ( $false
    | ~ spl0_124
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3065,f220]) ).

fof(f3067,plain,
    ( ~ spl0_124
    | ~ spl0_127 ),
    inference(contradiction_clause,[status(thm)],[f3066]) ).

fof(f3068,plain,
    ( e20 = e23
    | ~ spl0_87 ),
    inference(forward_demodulation,[status(thm)],[f2389,f1197]) ).

fof(f3069,plain,
    ( $false
    | ~ spl0_87 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3068,f220]) ).

fof(f3070,plain,
    ~ spl0_87,
    inference(contradiction_clause,[status(thm)],[f3069]) ).

fof(f3071,plain,
    ( ~ spl0_103
    | ~ spl0_111 ),
    inference(split_clause,[status(thm)],[f2623,f1248,f1274]) ).

fof(f3073,plain,
    ( ~ spl0_98
    | ~ spl0_114 ),
    inference(split_clause,[status(thm)],[f2671,f1232,f1284]) ).

fof(f3074,plain,
    ( ~ spl0_82
    | ~ spl0_114 ),
    inference(split_clause,[status(thm)],[f2672,f1180,f1284]) ).

fof(f3076,plain,
    ( ~ spl0_91
    | ~ spl0_95 ),
    inference(split_clause,[status(thm)],[f2606,f1209,f1222]) ).

fof(f3077,plain,
    ( e23 != e23
    | spl0_103 ),
    inference(forward_demodulation,[status(thm)],[f2576,f1250]) ).

fof(f3078,plain,
    ( $false
    | spl0_103 ),
    inference(trivial_equality_resolution,[status(esa)],[f3077]) ).

fof(f3079,plain,
    spl0_103,
    inference(contradiction_clause,[status(thm)],[f3078]) ).

fof(f3080,plain,
    ( ~ spl0_119
    | ~ spl0_123 ),
    inference(split_clause,[status(thm)],[f2991,f1300,f1313]) ).

fof(f3091,plain,
    ( h4(e13) != op2(h4(e13),h4(e10))
    | ~ spl0_51
    | spl0_213 ),
    inference(backward_demodulation,[status(thm)],[f1048,f1653]) ).

fof(f3092,plain,
    ( h2(e13) != op2(h2(e13),h2(e10))
    | ~ spl0_51
    | spl0_167 ),
    inference(backward_demodulation,[status(thm)],[f1048,f1507]) ).

fof(f3094,plain,
    ( op1(e12,e10) != e13
    | ~ spl0_51 ),
    inference(paramodulation,[status(thm)],[f1048,f121]) ).

fof(f3095,plain,
    ( ~ spl0_35
    | ~ spl0_51 ),
    inference(split_clause,[status(thm)],[f3094,f995,f1047]) ).

fof(f3096,plain,
    ( op1(e11,e10) != e13
    | ~ spl0_51 ),
    inference(paramodulation,[status(thm)],[f1048,f120]) ).

fof(f3097,plain,
    ( op1(e10,e10) != e13
    | ~ spl0_51 ),
    inference(paramodulation,[status(thm)],[f1048,f118]) ).

fof(f3099,plain,
    ( op1(e10,e12) != e11
    | ~ spl0_13 ),
    inference(paramodulation,[status(thm)],[f925,f145]) ).

fof(f3100,plain,
    ( op1(e10,e11) != e11
    | ~ spl0_13 ),
    inference(paramodulation,[status(thm)],[f925,f144]) ).

fof(f3101,plain,
    ( ~ spl0_5
    | ~ spl0_13 ),
    inference(split_clause,[status(thm)],[f3100,f898,f924]) ).

fof(f3102,plain,
    ( op1(e10,e10) != e11
    | ~ spl0_13 ),
    inference(paramodulation,[status(thm)],[f925,f142]) ).

fof(f3103,plain,
    ( ~ spl0_2
    | ~ spl0_14 ),
    inference(split_clause,[status(thm)],[f2764,f888,f927]) ).

fof(f3104,plain,
    ( e10 = e12
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f2379,f954]) ).

fof(f3105,plain,
    ( $false
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3104,f213]) ).

fof(f3106,plain,
    ~ spl0_22,
    inference(contradiction_clause,[status(thm)],[f3105]) ).

fof(f3115,plain,
    ( op1(e10,e13) != e10
    | ~ spl0_44 ),
    inference(paramodulation,[status(thm)],[f1026,f135]) ).

fof(f3116,plain,
    ( ~ spl0_12
    | ~ spl0_44 ),
    inference(split_clause,[status(thm)],[f3115,f921,f1025]) ).

fof(f3119,plain,
    ( h1(e13) != op2(h1(e11),h1(e10))
    | ~ spl0_19
    | spl0_136 ),
    inference(backward_demodulation,[status(thm)],[f944,f1410]) ).

fof(f3120,plain,
    ( op1(e10,e10) != e13
    | ~ spl0_19 ),
    inference(paramodulation,[status(thm)],[f944,f116]) ).

fof(f3121,plain,
    ( op1(e13,e12) != e13
    | ~ spl0_63 ),
    inference(paramodulation,[status(thm)],[f1087,f163]) ).

fof(f3122,plain,
    ( op1(e13,e11) != e13
    | ~ spl0_63 ),
    inference(paramodulation,[status(thm)],[f1087,f162]) ).

fof(f3123,plain,
    ( ~ spl0_55
    | ~ spl0_63 ),
    inference(split_clause,[status(thm)],[f3122,f1060,f1086]) ).

fof(f3124,plain,
    ( op1(e13,e10) != e13
    | ~ spl0_63 ),
    inference(paramodulation,[status(thm)],[f1087,f160]) ).

fof(f3126,plain,
    ( op1(e11,e13) != e13
    | ~ spl0_63 ),
    inference(paramodulation,[status(thm)],[f1087,f138]) ).

fof(f3127,plain,
    ( ~ spl0_31
    | ~ spl0_63 ),
    inference(split_clause,[status(thm)],[f3126,f982,f1086]) ).

fof(f3129,plain,
    ( e13 != e13
    | ~ spl0_47 ),
    inference(forward_demodulation,[status(thm)],[f2567,f2640]) ).

fof(f3130,plain,
    ( $false
    | ~ spl0_47 ),
    inference(trivial_equality_resolution,[status(esa)],[f3129]) ).

fof(f3131,plain,
    ~ spl0_47,
    inference(contradiction_clause,[status(thm)],[f3130]) ).

fof(f3132,plain,
    ( e13 != e13
    | ~ spl0_19
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f944,f2619]) ).

fof(f3133,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_31 ),
    inference(trivial_equality_resolution,[status(esa)],[f3132]) ).

fof(f3134,plain,
    ( ~ spl0_19
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f3133]) ).

fof(f3135,plain,
    ( h1(e10) != h1(e10)
    | spl0_137 ),
    inference(forward_demodulation,[status(thm)],[f2397,f2804]) ).

fof(f3136,plain,
    ( $false
    | spl0_137 ),
    inference(trivial_equality_resolution,[status(esa)],[f3135]) ).

fof(f3137,plain,
    spl0_137,
    inference(contradiction_clause,[status(thm)],[f3136]) ).

fof(f3139,plain,
    ( h2(e10) != h2(e10)
    | spl0_160 ),
    inference(forward_demodulation,[status(thm)],[f2402,f2809]) ).

fof(f3140,plain,
    ( $false
    | spl0_160 ),
    inference(trivial_equality_resolution,[status(esa)],[f3139]) ).

fof(f3141,plain,
    spl0_160,
    inference(contradiction_clause,[status(thm)],[f3140]) ).

fof(f3143,plain,
    ( h3(e10) != op2(e21,h3(e11))
    | ~ spl0_257
    | spl0_183 ),
    inference(forward_demodulation,[status(thm)],[f1839,f2810]) ).

fof(f3144,plain,
    ( h3(e10) != op2(e21,e21)
    | ~ spl0_257
    | spl0_183 ),
    inference(forward_demodulation,[status(thm)],[f1839,f3143]) ).

fof(f3145,plain,
    ( h3(e10) != e20
    | ~ spl0_257
    | spl0_183 ),
    inference(paramodulation,[status(thm)],[f2389,f3144]) ).

fof(f3146,plain,
    ( ~ spl0_252
    | ~ spl0_257
    | spl0_183 ),
    inference(split_clause,[status(thm)],[f3145,f1818,f1838,f1557]) ).

fof(f3152,plain,
    ( h4(e10) != h4(e10)
    | spl0_206 ),
    inference(forward_demodulation,[status(thm)],[f2431,f2811]) ).

fof(f3153,plain,
    ( $false
    | spl0_206 ),
    inference(trivial_equality_resolution,[status(esa)],[f3152]) ).

fof(f3154,plain,
    spl0_206,
    inference(contradiction_clause,[status(thm)],[f3153]) ).

fof(f3157,plain,
    ( h2(op1(e13,e11)) != op2(h2(e13),e20)
    | spl0_168 ),
    inference(backward_demodulation,[status(thm)],[f2814,f1510]) ).

fof(f3158,plain,
    ( h3(op1(e10,e12)) != op2(e20,e22)
    | spl0_180 ),
    inference(backward_demodulation,[status(thm)],[f2814,f2847]) ).

fof(f3159,plain,
    ( h3(op1(e10,e10)) != op2(h2(e11),e20)
    | spl0_178 ),
    inference(backward_demodulation,[status(thm)],[f2814,f2413]) ).

fof(f3160,plain,
    ( h3(op1(e10,e10)) != op2(e20,e20)
    | spl0_178 ),
    inference(forward_demodulation,[status(thm)],[f2814,f3159]) ).

fof(f3161,plain,
    h2(e10) = op2(h2(e11),e20),
    inference(backward_demodulation,[status(thm)],[f2814,f2402]) ).

fof(f3162,plain,
    h2(e10) = op2(e20,e20),
    inference(forward_demodulation,[status(thm)],[f2814,f3161]) ).

fof(f3163,plain,
    h2(e10) = h1(e11),
    inference(forward_demodulation,[status(thm)],[f276,f3162]) ).

fof(f3166,plain,
    h2(e13) = op2(e21,e20),
    inference(backward_demodulation,[status(thm)],[f2814,f2405]) ).

fof(f3172,plain,
    ( h2(e11) != e20
    | spl0_165 ),
    inference(paramodulation,[status(thm)],[f2389,f2837]) ).

fof(f3173,plain,
    ( ~ spl0_241
    | spl0_165 ),
    inference(split_clause,[status(thm)],[f3172,f1774,f1499]) ).

fof(f3178,plain,
    ( h3(e11) != e21
    | spl0_188 ),
    inference(paramodulation,[status(thm)],[f272,f2842]) ).

fof(f3179,plain,
    ( ~ spl0_257
    | spl0_188 ),
    inference(split_clause,[status(thm)],[f3178,f1838,f1572]) ).

fof(f3184,plain,
    ( h3(op1(e11,e10)) != op2(e21,e20)
    | ~ spl0_257
    | spl0_182 ),
    inference(forward_demodulation,[status(thm)],[f2814,f2850]) ).

fof(f3185,plain,
    ( h3(op1(e10,e11)) != op2(e20,e21)
    | ~ spl0_257
    | spl0_179 ),
    inference(forward_demodulation,[status(thm)],[f2814,f2851]) ).

fof(f3186,plain,
    ( h3(op1(e13,e10)) != op2(e23,e20)
    | ~ spl0_200
    | spl0_190 ),
    inference(forward_demodulation,[status(thm)],[f2814,f2899]) ).

fof(f3187,plain,
    ( h3(op1(e10,e13)) != op2(e20,e23)
    | ~ spl0_200
    | spl0_181 ),
    inference(forward_demodulation,[status(thm)],[f2814,f2900]) ).

fof(f3188,plain,
    ( h2(op1(e11,e13)) != op2(e20,h2(e13))
    | spl0_162 ),
    inference(forward_demodulation,[status(thm)],[f2814,f1492]) ).

fof(f3192,plain,
    ( op1(e12,e12) != e11
    | ~ spl0_57 ),
    inference(paramodulation,[status(thm)],[f1068,f133]) ).

fof(f3193,plain,
    ( ~ spl0_41
    | ~ spl0_57 ),
    inference(split_clause,[status(thm)],[f3192,f1015,f1067]) ).

fof(f3197,plain,
    ( op1(e12,e10) != e11
    | ~ spl0_49 ),
    inference(paramodulation,[status(thm)],[f1042,f121]) ).

fof(f3198,plain,
    ( ~ spl0_33
    | ~ spl0_49 ),
    inference(split_clause,[status(thm)],[f3197,f989,f1041]) ).

fof(f3199,plain,
    ( op1(e11,e10) != e11
    | ~ spl0_49 ),
    inference(paramodulation,[status(thm)],[f1042,f120]) ).

fof(f3201,plain,
    ( ~ spl0_3
    | ~ spl0_51 ),
    inference(split_clause,[status(thm)],[f3097,f891,f1047]) ).

fof(f3208,plain,
    ( op1(e10,e11) != e11
    | ~ spl0_9 ),
    inference(paramodulation,[status(thm)],[f912,f143]) ).

fof(f3209,plain,
    ( ~ spl0_5
    | ~ spl0_9 ),
    inference(split_clause,[status(thm)],[f3208,f898,f911]) ).

fof(f3210,plain,
    ( op1(e10,e10) != e11
    | ~ spl0_9 ),
    inference(paramodulation,[status(thm)],[f912,f141]) ).

fof(f3214,plain,
    ( op1(e11,e10) != e11
    | ~ spl0_29 ),
    inference(paramodulation,[status(thm)],[f977,f148]) ).

fof(f3223,plain,
    ( op2(e20,e23) != e22
    | ~ spl0_110 ),
    inference(paramodulation,[status(thm)],[f1272,f183]) ).

fof(f3224,plain,
    ( ~ spl0_78
    | ~ spl0_110 ),
    inference(split_clause,[status(thm)],[f3223,f1167,f1271]) ).

fof(f3225,plain,
    ( h3(op1(e12,e10)) != op2(e22,e20)
    | spl0_186 ),
    inference(forward_demodulation,[status(thm)],[f2814,f3030]) ).

fof(f3226,plain,
    ( h3(e11) != op2(e21,e23)
    | ~ spl0_29
    | ~ spl0_200
    | ~ spl0_257
    | spl0_185 ),
    inference(forward_demodulation,[status(thm)],[f977,f2954]) ).

fof(f3228,plain,
    ( h2(e13) != op2(e20,h2(e13))
    | ~ spl0_31
    | spl0_162 ),
    inference(forward_demodulation,[status(thm)],[f2814,f2614]) ).

fof(f3230,plain,
    ( h2(e12) != op2(e20,e21)
    | ~ spl0_26
    | spl0_161 ),
    inference(forward_demodulation,[status(thm)],[f2814,f3042]) ).

fof(f3233,plain,
    ( h2(op1(e11,e10)) != op2(e20,h2(e10))
    | spl0_159 ),
    inference(forward_demodulation,[status(thm)],[f2814,f1483]) ).

fof(f3234,plain,
    ( h2(e11) != op2(h2(e10),e20)
    | ~ spl0_5
    | spl0_156 ),
    inference(forward_demodulation,[status(thm)],[f2814,f2532]) ).

fof(f3235,plain,
    ( h1(e11) != op2(h1(e11),h1(e13))
    | ~ spl0_29
    | spl0_139 ),
    inference(forward_demodulation,[status(thm)],[f977,f1419]) ).

fof(f3237,plain,
    ( e20 = e22
    | ~ spl0_86 ),
    inference(forward_demodulation,[status(thm)],[f2389,f1194]) ).

fof(f3238,plain,
    ( $false
    | ~ spl0_86 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3237,f219]) ).

fof(f3239,plain,
    ~ spl0_86,
    inference(contradiction_clause,[status(thm)],[f3238]) ).

fof(f3241,plain,
    ( ~ spl0_70
    | ~ spl0_118 ),
    inference(split_clause,[status(thm)],[f2670,f1141,f1297]) ).

fof(f3242,plain,
    ( ~ spl0_69
    | ~ spl0_117 ),
    inference(split_clause,[status(thm)],[f2465,f1138,f1294]) ).

fof(f3243,plain,
    ( ~ spl0_75
    | ~ spl0_79 ),
    inference(split_clause,[status(thm)],[f2563,f1157,f1170]) ).

fof(f3244,plain,
    ( ~ spl0_81
    | ~ spl0_97 ),
    inference(split_clause,[status(thm)],[f2738,f1177,f1229]) ).

fof(f3245,plain,
    ( e13 = e12
    | ~ spl0_38 ),
    inference(backward_demodulation,[status(thm)],[f1006,f2567]) ).

fof(f3246,plain,
    ( $false
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3245,f217]) ).

fof(f3247,plain,
    ~ spl0_38,
    inference(contradiction_clause,[status(thm)],[f3246]) ).

fof(f3248,plain,
    ( ~ spl0_59
    | ~ spl0_63 ),
    inference(split_clause,[status(thm)],[f3121,f1073,f1086]) ).

fof(f3249,plain,
    ( ~ spl0_51
    | ~ spl0_63 ),
    inference(split_clause,[status(thm)],[f3124,f1047,f1086]) ).

fof(f3250,plain,
    ( ~ spl0_51
    | ~ spl0_59 ),
    inference(split_clause,[status(thm)],[f2960,f1047,f1073]) ).

fof(f3251,plain,
    ( e13 != e13
    | ~ spl0_27
    | ~ spl0_59 ),
    inference(forward_demodulation,[status(thm)],[f970,f2963]) ).

fof(f3252,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_59 ),
    inference(trivial_equality_resolution,[status(esa)],[f3251]) ).

fof(f3253,plain,
    ( ~ spl0_27
    | ~ spl0_59 ),
    inference(contradiction_clause,[status(thm)],[f3252]) ).

fof(f3254,plain,
    ( ~ spl0_19
    | ~ spl0_51 ),
    inference(split_clause,[status(thm)],[f3096,f943,f1047]) ).

fof(f3256,plain,
    ( h3(e12) != op2(e22,e20)
    | ~ spl0_34
    | spl0_186 ),
    inference(forward_demodulation,[status(thm)],[f2814,f2849]) ).

fof(f3259,plain,
    ( ~ spl0_26
    | ~ spl0_58 ),
    inference(split_clause,[status(thm)],[f2526,f966,f1070]) ).

fof(f3260,plain,
    ( ~ spl0_11
    | ~ spl0_15 ),
    inference(split_clause,[status(thm)],[f2538,f917,f930]) ).

fof(f3262,plain,
    ( ~ spl0_10
    | ~ spl0_14 ),
    inference(split_clause,[status(thm)],[f2761,f914,f927]) ).

fof(f3263,plain,
    ( e11 = e13
    | ~ spl0_29
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f977,f983]) ).

fof(f3264,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3263,f216]) ).

fof(f3265,plain,
    ( ~ spl0_29
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f3264]) ).

fof(f3266,plain,
    ( e13 != e13
    | ~ spl0_27
    | ~ spl0_31 ),
    inference(forward_demodulation,[status(thm)],[f970,f2617]) ).

fof(f3267,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_31 ),
    inference(trivial_equality_resolution,[status(esa)],[f3266]) ).

fof(f3268,plain,
    ( ~ spl0_27
    | ~ spl0_31 ),
    inference(contradiction_clause,[status(thm)],[f3267]) ).

fof(f3269,plain,
    ( e21 = e20
    | ~ spl0_104 ),
    inference(backward_demodulation,[status(thm)],[f1253,f272]) ).

fof(f3270,plain,
    ( $false
    | ~ spl0_104 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3269,f218]) ).

fof(f3271,plain,
    ~ spl0_104,
    inference(contradiction_clause,[status(thm)],[f3270]) ).

fof(f3272,plain,
    ( op2(e21,e22) != e21
    | ~ spl0_93 ),
    inference(paramodulation,[status(thm)],[f1217,f199]) ).

fof(f3273,plain,
    ( ~ spl0_89
    | ~ spl0_93 ),
    inference(split_clause,[status(thm)],[f3272,f1203,f1216]) ).

fof(f3274,plain,
    ( op2(e21,e20) != e21
    | ~ spl0_93 ),
    inference(paramodulation,[status(thm)],[f1217,f196]) ).

fof(f3275,plain,
    ( ~ spl0_81
    | ~ spl0_93 ),
    inference(split_clause,[status(thm)],[f3274,f1177,f1216]) ).

fof(f3276,plain,
    ( op2(e20,e23) != e21
    | ~ spl0_93 ),
    inference(paramodulation,[status(thm)],[f1217,f182]) ).

fof(f3283,plain,
    ( op2(e21,e20) != e21
    | ~ spl0_89 ),
    inference(paramodulation,[status(thm)],[f1204,f195]) ).

fof(f3286,plain,
    ( op2(e23,e21) != e22
    | ~ spl0_122 ),
    inference(paramodulation,[status(thm)],[f1311,f209]) ).

fof(f3287,plain,
    ( ~ spl0_118
    | ~ spl0_122 ),
    inference(split_clause,[status(thm)],[f3286,f1297,f1310]) ).

fof(f3292,plain,
    ( ~ spl0_113
    | ~ spl0_117 ),
    inference(split_clause,[status(thm)],[f2462,f1281,f1294]) ).

fof(f3293,plain,
    ( ~ spl0_77
    | ~ spl0_93 ),
    inference(split_clause,[status(thm)],[f3276,f1164,f1216]) ).

fof(f3294,plain,
    ( ~ spl0_91
    | ~ spl0_123 ),
    inference(split_clause,[status(thm)],[f2996,f1209,f1313]) ).

fof(f3295,plain,
    ( ~ spl0_70
    | ~ spl0_74 ),
    inference(split_clause,[status(thm)],[f2460,f1141,f1154]) ).

fof(f3296,plain,
    ( ~ spl0_82
    | ~ spl0_90 ),
    inference(split_clause,[status(thm)],[f2591,f1180,f1206]) ).

fof(f3297,plain,
    ( ~ spl0_90
    | ~ spl0_122 ),
    inference(split_clause,[status(thm)],[f2471,f1206,f1310]) ).

fof(f3301,plain,
    ( ~ spl0_65
    | ~ spl0_73 ),
    inference(split_clause,[status(thm)],[f2737,f1125,f1151]) ).

fof(f3302,plain,
    ( ~ spl0_67
    | ~ spl0_75 ),
    inference(split_clause,[status(thm)],[f2990,f1131,f1157]) ).

fof(f3303,plain,
    ( ~ spl0_81
    | ~ spl0_89 ),
    inference(split_clause,[status(thm)],[f3283,f1177,f1203]) ).

fof(f3304,plain,
    ( h4(e12) != op2(e23,h4(e13))
    | ~ spl0_46
    | ~ spl0_222
    | spl0_212 ),
    inference(backward_demodulation,[status(thm)],[f1032,f3026]) ).

fof(f3308,plain,
    ( op1(e12,e10) != e12
    | ~ spl0_46 ),
    inference(paramodulation,[status(thm)],[f1032,f154]) ).

fof(f3309,plain,
    ( ~ spl0_34
    | ~ spl0_46 ),
    inference(split_clause,[status(thm)],[f3308,f992,f1031]) ).

fof(f3310,plain,
    ( op1(e11,e13) != e12
    | ~ spl0_46 ),
    inference(paramodulation,[status(thm)],[f1032,f137]) ).

fof(f3312,plain,
    ( $false
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f974,f2805]) ).

fof(f3313,plain,
    ~ spl0_28,
    inference(contradiction_clause,[status(thm)],[f3312]) ).

fof(f3321,plain,
    ( h4(e11) != op2(h4(e11),h4(e10))
    | ~ spl0_17
    | spl0_205 ),
    inference(backward_demodulation,[status(thm)],[f938,f1629]) ).

fof(f3322,plain,
    ( op1(e10,e10) != e11
    | ~ spl0_17 ),
    inference(paramodulation,[status(thm)],[f938,f116]) ).

fof(f3323,plain,
    ( ~ spl0_1
    | ~ spl0_17 ),
    inference(split_clause,[status(thm)],[f3322,f885,f937]) ).

fof(f3324,plain,
    ( ~ spl0_17
    | ~ spl0_29 ),
    inference(split_clause,[status(thm)],[f3214,f937,f976]) ).

fof(f3326,plain,
    ( ~ spl0_17
    | ~ spl0_49 ),
    inference(split_clause,[status(thm)],[f3199,f937,f1041]) ).

fof(f3328,plain,
    ( e11 = e13
    | ~ spl0_17
    | ~ spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f938,f944]) ).

fof(f3329,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3328,f216]) ).

fof(f3330,plain,
    ( ~ spl0_17
    | ~ spl0_19 ),
    inference(contradiction_clause,[status(thm)],[f3329]) ).

fof(f3332,plain,
    ( e11 = e12
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f938,f941]) ).

fof(f3333,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3332,f215]) ).

fof(f3334,plain,
    ( ~ spl0_17
    | ~ spl0_18 ),
    inference(contradiction_clause,[status(thm)],[f3333]) ).

fof(f3337,plain,
    ( op1(e13,e11) != e12
    | ~ spl0_58 ),
    inference(paramodulation,[status(thm)],[f1071,f161]) ).

fof(f3338,plain,
    ( ~ spl0_54
    | ~ spl0_58 ),
    inference(split_clause,[status(thm)],[f3337,f1057,f1070]) ).

fof(f3356,plain,
    ( h4(e11) = e22
    | ~ spl0_126 ),
    inference(backward_demodulation,[status(thm)],[f1324,f288]) ).

fof(f3357,plain,
    ( $false
    | spl0_273
    | ~ spl0_126 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3356,f1904]) ).

fof(f3358,plain,
    ( spl0_273
    | ~ spl0_126 ),
    inference(contradiction_clause,[status(thm)],[f3357]) ).

fof(f3359,plain,
    ( op2(e23,e22) != e22
    | ~ spl0_126 ),
    inference(paramodulation,[status(thm)],[f1324,f211]) ).

fof(f3360,plain,
    ( ~ spl0_122
    | ~ spl0_126 ),
    inference(split_clause,[status(thm)],[f3359,f1310,f1323]) ).

fof(f3364,plain,
    ( op2(e22,e23) != e22
    | ~ spl0_126 ),
    inference(paramodulation,[status(thm)],[f1324,f187]) ).

fof(f3365,plain,
    ( e22 != e22
    | ~ spl0_110
    | ~ spl0_126 ),
    inference(forward_demodulation,[status(thm)],[f1272,f3364]) ).

fof(f3366,plain,
    ( $false
    | ~ spl0_110
    | ~ spl0_126 ),
    inference(trivial_equality_resolution,[status(esa)],[f3365]) ).

fof(f3367,plain,
    ( ~ spl0_110
    | ~ spl0_126 ),
    inference(contradiction_clause,[status(thm)],[f3366]) ).

fof(f3370,plain,
    ( op2(e20,e20) != e22
    | ~ spl0_98 ),
    inference(paramodulation,[status(thm)],[f1233,f165]) ).

fof(f3371,plain,
    ( ~ spl0_66
    | ~ spl0_98 ),
    inference(split_clause,[status(thm)],[f3370,f1128,f1232]) ).

fof(f3375,plain,
    ( op2(e23,e20) != e20
    | ~ spl0_120 ),
    inference(paramodulation,[status(thm)],[f1305,f207]) ).

fof(f3376,plain,
    ( ~ spl0_112
    | ~ spl0_120 ),
    inference(split_clause,[status(thm)],[f3375,f1278,f1304]) ).

fof(f3380,plain,
    ( h2(e13) = e21
    | ~ spl0_81 ),
    inference(backward_demodulation,[status(thm)],[f1178,f3166]) ).

fof(f3381,plain,
    ( $false
    | spl0_247
    | ~ spl0_81 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3380,f1800]) ).

fof(f3382,plain,
    ( spl0_247
    | ~ spl0_81 ),
    inference(contradiction_clause,[status(thm)],[f3381]) ).

fof(f3404,plain,
    ( op2(e23,e21) != e21
    | ~ spl0_125 ),
    inference(paramodulation,[status(thm)],[f1321,f210]) ).

fof(f3405,plain,
    ( ~ spl0_117
    | ~ spl0_125 ),
    inference(split_clause,[status(thm)],[f3404,f1294,f1320]) ).

fof(f3406,plain,
    ( op2(e23,e20) != e21
    | ~ spl0_125 ),
    inference(paramodulation,[status(thm)],[f1321,f208]) ).

fof(f3413,plain,
    ( op2(e21,e20) != e22
    | ~ spl0_94 ),
    inference(paramodulation,[status(thm)],[f1220,f196]) ).

fof(f3414,plain,
    ( ~ spl0_82
    | ~ spl0_94 ),
    inference(split_clause,[status(thm)],[f3413,f1180,f1219]) ).

fof(f3416,plain,
    ( h4(e10) != op2(h4(e10),h4(e13))
    | ~ spl0_12
    | spl0_204 ),
    inference(backward_demodulation,[status(thm)],[f922,f1626]) ).

fof(f3417,plain,
    ( op1(e10,e12) != e10
    | ~ spl0_12 ),
    inference(paramodulation,[status(thm)],[f922,f145]) ).

fof(f3418,plain,
    ( ~ spl0_8
    | ~ spl0_12 ),
    inference(split_clause,[status(thm)],[f3417,f908,f921]) ).

fof(f3419,plain,
    ( op1(e10,e11) != e10
    | ~ spl0_12 ),
    inference(paramodulation,[status(thm)],[f922,f144]) ).

fof(f3422,plain,
    ( e10 = e12
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f922,f928]) ).

fof(f3423,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3422,f213]) ).

fof(f3424,plain,
    ( ~ spl0_12
    | ~ spl0_14 ),
    inference(contradiction_clause,[status(thm)],[f3423]) ).

fof(f3425,plain,
    ( ~ spl0_5
    | ~ spl0_53 ),
    inference(split_clause,[status(thm)],[f2516,f898,f1054]) ).

fof(f3426,plain,
    ( op1(e12,e12) != e11
    | ~ spl0_45 ),
    inference(paramodulation,[status(thm)],[f1029,f157]) ).

fof(f3427,plain,
    ( ~ spl0_41
    | ~ spl0_45 ),
    inference(split_clause,[status(thm)],[f3426,f1015,f1028]) ).

fof(f3431,plain,
    ( ~ spl0_0
    | ~ spl0_32 ),
    inference(split_clause,[status(thm)],[f2494,f882,f986]) ).

fof(f3441,plain,
    ( op1(e13,e10) != e12
    | ~ spl0_54 ),
    inference(paramodulation,[status(thm)],[f1058,f158]) ).

fof(f3442,plain,
    ( ~ spl0_50
    | ~ spl0_54 ),
    inference(split_clause,[status(thm)],[f3441,f1044,f1057]) ).

fof(f3446,plain,
    ( h3(e12) != op2(e23,e21)
    | ~ spl0_54
    | ~ spl0_200
    | ~ spl0_257
    | spl0_191 ),
    inference(forward_demodulation,[status(thm)],[f1058,f2897]) ).

fof(f3453,plain,
    ( e20 = e22
    | ~ spl0_108
    | ~ spl0_110 ),
    inference(forward_demodulation,[status(thm)],[f1266,f1272]) ).

fof(f3454,plain,
    ( $false
    | ~ spl0_108
    | ~ spl0_110 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3453,f219]) ).

fof(f3455,plain,
    ( ~ spl0_108
    | ~ spl0_110 ),
    inference(contradiction_clause,[status(thm)],[f3454]) ).

fof(f3474,plain,
    ( h4(e11) = e23
    | ~ spl0_127 ),
    inference(backward_demodulation,[status(thm)],[f1327,f288]) ).

fof(f3475,plain,
    ( $false
    | spl0_221
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3474,f1678]) ).

fof(f3476,plain,
    ( spl0_221
    | ~ spl0_127 ),
    inference(contradiction_clause,[status(thm)],[f3475]) ).

fof(f3479,plain,
    ( op2(e23,e21) != e23
    | ~ spl0_127 ),
    inference(paramodulation,[status(thm)],[f1327,f210]) ).

fof(f3480,plain,
    ( ~ spl0_119
    | ~ spl0_127 ),
    inference(split_clause,[status(thm)],[f3479,f1300,f1326]) ).

fof(f3481,plain,
    ( op2(e23,e20) != e23
    | ~ spl0_127 ),
    inference(paramodulation,[status(thm)],[f1327,f208]) ).

fof(f3482,plain,
    ( ~ spl0_115
    | ~ spl0_127 ),
    inference(split_clause,[status(thm)],[f3481,f1287,f1326]) ).

fof(f3485,plain,
    ( op2(e21,e23) != e23
    | ~ spl0_127 ),
    inference(paramodulation,[status(thm)],[f1327,f186]) ).

fof(f3486,plain,
    ( ~ spl0_95
    | ~ spl0_127 ),
    inference(split_clause,[status(thm)],[f3485,f1222,f1326]) ).

fof(f3488,plain,
    ( e23 != h4(e11)
    | ~ spl0_115 ),
    inference(paramodulation,[status(thm)],[f1288,f2434]) ).

fof(f3489,plain,
    ( ~ spl0_221
    | ~ spl0_115 ),
    inference(split_clause,[status(thm)],[f3488,f1676,f1287]) ).

fof(f3490,plain,
    ( ~ spl0_120
    | ~ spl0_124 ),
    inference(split_clause,[status(thm)],[f2971,f1304,f1317]) ).

fof(f3491,plain,
    ( ~ spl0_108
    | ~ spl0_124 ),
    inference(split_clause,[status(thm)],[f2974,f1265,f1317]) ).

fof(f3492,plain,
    ( ~ spl0_97
    | ~ spl0_113 ),
    inference(split_clause,[status(thm)],[f2692,f1229,f1281]) ).

fof(f3534,plain,
    ( h4(e10) != op2(h4(e13),e23)
    | ~ spl0_56
    | ~ spl0_222
    | spl0_215 ),
    inference(backward_demodulation,[status(thm)],[f1065,f2875]) ).

fof(f3536,plain,
    ( op1(e13,e10) != e10
    | ~ spl0_56 ),
    inference(paramodulation,[status(thm)],[f1065,f159]) ).

fof(f3537,plain,
    ( ~ spl0_48
    | ~ spl0_56 ),
    inference(split_clause,[status(thm)],[f3536,f1038,f1064]) ).

fof(f3540,plain,
    ( op1(e10,e12) != e10
    | ~ spl0_56 ),
    inference(paramodulation,[status(thm)],[f1065,f130]) ).

fof(f3541,plain,
    ( ~ spl0_8
    | ~ spl0_56 ),
    inference(split_clause,[status(thm)],[f3540,f908,f1064]) ).

fof(f3546,plain,
    ( e10 != e10
    | ~ spl0_56
    | ~ spl0_60 ),
    inference(forward_demodulation,[status(thm)],[f1065,f2933]) ).

fof(f3547,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_60 ),
    inference(trivial_equality_resolution,[status(esa)],[f3546]) ).

fof(f3548,plain,
    ( ~ spl0_56
    | ~ spl0_60 ),
    inference(contradiction_clause,[status(thm)],[f3547]) ).

fof(f3549,plain,
    ( ~ spl0_30
    | ~ spl0_46 ),
    inference(split_clause,[status(thm)],[f3310,f979,f1031]) ).

fof(f3552,plain,
    ( e12 = e13
    | ~ spl0_26
    | ~ spl0_27 ),
    inference(forward_demodulation,[status(thm)],[f967,f970]) ).

fof(f3553,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3552,f217]) ).

fof(f3554,plain,
    ( ~ spl0_26
    | ~ spl0_27 ),
    inference(contradiction_clause,[status(thm)],[f3553]) ).

fof(f3560,plain,
    ( h1(e11) = e20
    | ~ spl0_64 ),
    inference(backward_demodulation,[status(thm)],[f1123,f276]) ).

fof(f3561,plain,
    ( $false
    | spl0_229
    | ~ spl0_64 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3560,f1728]) ).

fof(f3562,plain,
    ( spl0_229
    | ~ spl0_64 ),
    inference(contradiction_clause,[status(thm)],[f3561]) ).

fof(f3563,plain,
    ( h1(e11) != e20
    | spl0_240 ),
    inference(backward_demodulation,[status(thm)],[f3163,f1772]) ).

fof(f3564,plain,
    ( ~ spl0_229
    | spl0_240 ),
    inference(split_clause,[status(thm)],[f3563,f1726,f1770]) ).

fof(f3567,plain,
    ( h1(e10) = op2(h1(e11),e20)
    | ~ spl0_229 ),
    inference(backward_demodulation,[status(thm)],[f1727,f2397]) ).

fof(f3568,plain,
    ( h1(e10) = op2(e20,e20)
    | ~ spl0_229 ),
    inference(forward_demodulation,[status(thm)],[f1727,f3567]) ).

fof(f3569,plain,
    ( h1(e10) = e20
    | ~ spl0_64
    | ~ spl0_229 ),
    inference(forward_demodulation,[status(thm)],[f1123,f3568]) ).

fof(f3570,plain,
    ( $false
    | spl0_228
    | ~ spl0_64
    | ~ spl0_229 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3569,f1724]) ).

fof(f3571,plain,
    ( spl0_228
    | ~ spl0_64
    | ~ spl0_229 ),
    inference(contradiction_clause,[status(thm)],[f3570]) ).

fof(f3572,plain,
    ( h1(e13) = op2(e20,e20)
    | ~ spl0_229 ),
    inference(backward_demodulation,[status(thm)],[f1727,f2398]) ).

fof(f3573,plain,
    ( h1(e13) = e20
    | ~ spl0_64
    | ~ spl0_229 ),
    inference(forward_demodulation,[status(thm)],[f1123,f3572]) ).

fof(f3574,plain,
    ( $false
    | spl0_231
    | ~ spl0_64
    | ~ spl0_229 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3573,f1736]) ).

fof(f3575,plain,
    ( spl0_231
    | ~ spl0_64
    | ~ spl0_229 ),
    inference(contradiction_clause,[status(thm)],[f3574]) ).

fof(f3583,plain,
    ( e23 = e22
    | ~ spl0_102 ),
    inference(backward_demodulation,[status(thm)],[f1246,f2576]) ).

fof(f3584,plain,
    ( $false
    | ~ spl0_102 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3583,f223]) ).

fof(f3585,plain,
    ~ spl0_102,
    inference(contradiction_clause,[status(thm)],[f3584]) ).

fof(f3591,plain,
    ( e22 = op2(e23,e23)
    | ~ spl0_273 ),
    inference(forward_demodulation,[status(thm)],[f1903,f288]) ).

fof(f3593,plain,
    ( op2(e23,e21) != e22
    | ~ spl0_273 ),
    inference(paramodulation,[status(thm)],[f3591,f210]) ).

fof(f3594,plain,
    ( ~ spl0_118
    | ~ spl0_273 ),
    inference(split_clause,[status(thm)],[f3593,f1297,f1902]) ).

fof(f3599,plain,
    ( op2(e20,e23) != e22
    | ~ spl0_273 ),
    inference(paramodulation,[status(thm)],[f3591,f184]) ).

fof(f3600,plain,
    ( ~ spl0_78
    | ~ spl0_273 ),
    inference(split_clause,[status(thm)],[f3599,f1167,f1902]) ).

fof(f3601,plain,
    ( h4(e11) != op2(h4(e13),h4(e13))
    | ~ spl0_61
    | spl0_216 ),
    inference(backward_demodulation,[status(thm)],[f1081,f1662]) ).

fof(f3602,plain,
    ( h3(e11) != op2(e23,e23)
    | ~ spl0_61
    | ~ spl0_200
    | spl0_193 ),
    inference(backward_demodulation,[status(thm)],[f1081,f2902]) ).

fof(f3609,plain,
    ( e11 = e12
    | ~ spl0_61
    | ~ spl0_62 ),
    inference(forward_demodulation,[status(thm)],[f1081,f1084]) ).

fof(f3610,plain,
    ( $false
    | ~ spl0_61
    | ~ spl0_62 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3609,f215]) ).

fof(f3611,plain,
    ( ~ spl0_61
    | ~ spl0_62 ),
    inference(contradiction_clause,[status(thm)],[f3610]) ).

fof(f3613,plain,
    ( h4(e10) != op2(e23,h4(e13))
    | ~ spl0_44
    | ~ spl0_222
    | spl0_212 ),
    inference(backward_demodulation,[status(thm)],[f1026,f3026]) ).

fof(f3630,plain,
    ( op1(e10,e11) != e10
    | ~ spl0_8 ),
    inference(paramodulation,[status(thm)],[f909,f143]) ).

fof(f3641,plain,
    ( op1(e11,e10) != e12
    | ~ spl0_34 ),
    inference(paramodulation,[status(thm)],[f993,f119]) ).

fof(f3678,plain,
    ( h1(e11) = e23
    | ~ spl0_67 ),
    inference(backward_demodulation,[status(thm)],[f1132,f276]) ).

fof(f3716,plain,
    ( h4(e11) = e21
    | ~ spl0_125 ),
    inference(forward_demodulation,[status(thm)],[f1321,f288]) ).

fof(f3717,plain,
    ( $false
    | spl0_269
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3716,f1888]) ).

fof(f3718,plain,
    ( spl0_269
    | ~ spl0_125 ),
    inference(contradiction_clause,[status(thm)],[f3717]) ).

fof(f3719,plain,
    ( h4(e12) != op2(h4(e13),h4(e11))
    | ~ spl0_54
    | spl0_214 ),
    inference(forward_demodulation,[status(thm)],[f1058,f1656]) ).

fof(f3720,plain,
    ( h4(e13) != op2(h4(e11),h4(e13))
    | ~ spl0_31
    | spl0_208 ),
    inference(forward_demodulation,[status(thm)],[f983,f1638]) ).

fof(f3721,plain,
    ( h4(e11) != op2(h4(e10),h4(e11))
    | ~ spl0_5
    | spl0_202 ),
    inference(forward_demodulation,[status(thm)],[f899,f1620]) ).

fof(f3722,plain,
    ( h4(e12) != op2(h4(e10),h4(e13))
    | ~ spl0_14
    | spl0_204 ),
    inference(forward_demodulation,[status(thm)],[f928,f1626]) ).

fof(f3723,plain,
    ( h4(e13) != op2(h4(e10),h4(e10))
    | ~ spl0_3
    | spl0_201 ),
    inference(forward_demodulation,[status(thm)],[f892,f1617]) ).

fof(f3731,plain,
    ( h4(e12) != op2(e23,h4(e10))
    | ~ spl0_34
    | ~ spl0_222
    | spl0_209 ),
    inference(forward_demodulation,[status(thm)],[f993,f3027]) ).

fof(f3732,plain,
    ( h3(e11) != e21
    | ~ spl0_125
    | ~ spl0_61
    | ~ spl0_200
    | spl0_193 ),
    inference(forward_demodulation,[status(thm)],[f1321,f3602]) ).

fof(f3733,plain,
    ( e21 != e21
    | ~ spl0_257
    | ~ spl0_125
    | ~ spl0_61
    | ~ spl0_200
    | spl0_193 ),
    inference(forward_demodulation,[status(thm)],[f1839,f3732]) ).

fof(f3734,plain,
    ( $false
    | ~ spl0_257
    | ~ spl0_125
    | ~ spl0_61
    | ~ spl0_200
    | spl0_193 ),
    inference(trivial_equality_resolution,[status(esa)],[f3733]) ).

fof(f3735,plain,
    ( ~ spl0_257
    | ~ spl0_125
    | ~ spl0_61
    | ~ spl0_200
    | spl0_193 ),
    inference(contradiction_clause,[status(thm)],[f3734]) ).

fof(f3736,plain,
    ( h3(e13) != op2(e23,e22)
    | ~ spl0_59
    | ~ spl0_200
    | spl0_192 ),
    inference(forward_demodulation,[status(thm)],[f1074,f2898]) ).

fof(f3737,plain,
    ( h3(e13) != e23
    | ~ spl0_123
    | ~ spl0_59
    | ~ spl0_200
    | spl0_192 ),
    inference(forward_demodulation,[status(thm)],[f1314,f3736]) ).

fof(f3738,plain,
    ( e23 != e23
    | ~ spl0_123
    | ~ spl0_59
    | ~ spl0_200
    | spl0_192 ),
    inference(forward_demodulation,[status(thm)],[f1612,f3737]) ).

fof(f3739,plain,
    ( $false
    | ~ spl0_123
    | ~ spl0_59
    | ~ spl0_200
    | spl0_192 ),
    inference(trivial_equality_resolution,[status(esa)],[f3738]) ).

fof(f3740,plain,
    ( ~ spl0_123
    | ~ spl0_59
    | ~ spl0_200
    | spl0_192 ),
    inference(contradiction_clause,[status(thm)],[f3739]) ).

fof(f3743,plain,
    ( $false
    | ~ spl0_52 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1052,f2807]) ).

fof(f3744,plain,
    ~ spl0_52,
    inference(contradiction_clause,[status(thm)],[f3743]) ).

fof(f3745,plain,
    ( ~ spl0_49
    | ~ spl0_53 ),
    inference(split_clause,[status(thm)],[f2513,f1041,f1054]) ).

fof(f3746,plain,
    ( $false
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f961,f2806]) ).

fof(f3747,plain,
    ~ spl0_24,
    inference(contradiction_clause,[status(thm)],[f3746]) ).

fof(f3748,plain,
    ( ~ spl0_50
    | ~ spl0_58 ),
    inference(split_clause,[status(thm)],[f2523,f1044,f1070]) ).

fof(f3750,plain,
    ( ~ spl0_4
    | ~ spl0_12 ),
    inference(split_clause,[status(thm)],[f3419,f895,f921]) ).

fof(f3751,plain,
    ( ~ spl0_3
    | ~ spl0_19 ),
    inference(split_clause,[status(thm)],[f3120,f891,f943]) ).

fof(f3753,plain,
    ( ~ spl0_18
    | ~ spl0_50 ),
    inference(split_clause,[status(thm)],[f2771,f940,f1044]) ).

fof(f3754,plain,
    ( ~ spl0_6
    | ~ spl0_14 ),
    inference(split_clause,[status(thm)],[f2762,f901,f927]) ).

fof(f3756,plain,
    ( ~ spl0_1
    | ~ spl0_13 ),
    inference(split_clause,[status(thm)],[f3102,f885,f924]) ).

fof(f3757,plain,
    ( h1(e13) = op2(e20,e23)
    | ~ spl0_67 ),
    inference(backward_demodulation,[status(thm)],[f3678,f2398]) ).

fof(f3758,plain,
    ( h1(e13) = e22
    | ~ spl0_78
    | ~ spl0_67 ),
    inference(forward_demodulation,[status(thm)],[f1168,f3757]) ).

fof(f3759,plain,
    ( $false
    | spl0_239
    | ~ spl0_78
    | ~ spl0_67 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3758,f1768]) ).

fof(f3760,plain,
    ( spl0_239
    | ~ spl0_78
    | ~ spl0_67 ),
    inference(contradiction_clause,[status(thm)],[f3759]) ).

fof(f3761,plain,
    ( h1(e10) = op2(h1(e11),e23)
    | ~ spl0_67 ),
    inference(backward_demodulation,[status(thm)],[f3678,f2397]) ).

fof(f3762,plain,
    ( h1(e10) = op2(e23,e23)
    | ~ spl0_67 ),
    inference(forward_demodulation,[status(thm)],[f3678,f3761]) ).

fof(f3763,plain,
    ( h1(e10) = e21
    | ~ spl0_125
    | ~ spl0_67 ),
    inference(forward_demodulation,[status(thm)],[f1321,f3762]) ).

fof(f3764,plain,
    ( h2(e10) = e23
    | ~ spl0_67 ),
    inference(backward_demodulation,[status(thm)],[f3678,f3163]) ).

fof(f3765,plain,
    ( h4(e13) = op2(e23,e21)
    | ~ spl0_125 ),
    inference(backward_demodulation,[status(thm)],[f3716,f2438]) ).

fof(f3766,plain,
    ( h4(e13) = e22
    | ~ spl0_118
    | ~ spl0_125 ),
    inference(forward_demodulation,[status(thm)],[f1298,f3765]) ).

fof(f3767,plain,
    ( $false
    | spl0_275
    | ~ spl0_118
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3766,f1912]) ).

fof(f3768,plain,
    ( spl0_275
    | ~ spl0_118
    | ~ spl0_125 ),
    inference(contradiction_clause,[status(thm)],[f3767]) ).

fof(f3769,plain,
    ( h4(e10) = op2(h4(e11),e21)
    | ~ spl0_125 ),
    inference(backward_demodulation,[status(thm)],[f3716,f2431]) ).

fof(f3770,plain,
    ( h4(e10) = op2(e21,e21)
    | ~ spl0_125 ),
    inference(forward_demodulation,[status(thm)],[f3716,f3769]) ).

fof(f3771,plain,
    ( h4(e10) = e20
    | ~ spl0_125 ),
    inference(forward_demodulation,[status(thm)],[f2389,f3770]) ).

fof(f3772,plain,
    ( $false
    | spl0_264
    | ~ spl0_125 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3771,f1868]) ).

fof(f3773,plain,
    ( spl0_264
    | ~ spl0_125 ),
    inference(contradiction_clause,[status(thm)],[f3772]) ).

fof(f3775,plain,
    ( h4(op1(e11,e13)) != op2(e21,h4(e13))
    | ~ spl0_125
    | spl0_208 ),
    inference(forward_demodulation,[status(thm)],[f3716,f1638]) ).

fof(f3783,plain,
    ( e12 = e13
    | ~ spl0_62
    | ~ spl0_63 ),
    inference(backward_demodulation,[status(thm)],[f1084,f1087]) ).

fof(f3784,plain,
    ( $false
    | ~ spl0_62
    | ~ spl0_63 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3783,f217]) ).

fof(f3785,plain,
    ( ~ spl0_62
    | ~ spl0_63 ),
    inference(contradiction_clause,[status(thm)],[f3784]) ).

fof(f3786,plain,
    ( h3(op1(e13,e13)) = op2(e23,h3(e13))
    | ~ spl0_200
    | ~ spl0_193 ),
    inference(forward_demodulation,[status(thm)],[f1612,f1588]) ).

fof(f3787,plain,
    ( h3(op1(e13,e13)) = op2(e23,e23)
    | ~ spl0_200
    | ~ spl0_193 ),
    inference(forward_demodulation,[status(thm)],[f1612,f3786]) ).

fof(f3801,plain,
    ( op1(e11,e12) != e11
    | ~ spl0_29 ),
    inference(paramodulation,[status(thm)],[f977,f151]) ).

fof(f3802,plain,
    ( ~ spl0_25
    | ~ spl0_29 ),
    inference(split_clause,[status(thm)],[f3801,f963,f976]) ).

fof(f3804,plain,
    ( op1(e10,e13) != e11
    | ~ spl0_29 ),
    inference(paramodulation,[status(thm)],[f977,f134]) ).

fof(f3805,plain,
    ( ~ spl0_13
    | ~ spl0_29 ),
    inference(split_clause,[status(thm)],[f3804,f924,f976]) ).

fof(f3807,plain,
    ( h4(e11) != op2(h4(e10),e21)
    | ~ spl0_125
    | ~ spl0_5
    | spl0_202 ),
    inference(forward_demodulation,[status(thm)],[f3716,f3721]) ).

fof(f3808,plain,
    ( h4(e12) != op2(h4(e13),e21)
    | ~ spl0_125
    | ~ spl0_54
    | spl0_214 ),
    inference(forward_demodulation,[status(thm)],[f3716,f3719]) ).

fof(f3809,plain,
    ( h3(e12) != e22
    | ~ spl0_118
    | ~ spl0_54
    | ~ spl0_200
    | ~ spl0_257
    | spl0_191 ),
    inference(forward_demodulation,[status(thm)],[f1298,f3446]) ).

fof(f3810,plain,
    ( e22 != e22
    | ~ spl0_118
    | ~ spl0_54
    | ~ spl0_200
    | ~ spl0_257
    | spl0_191 ),
    inference(forward_demodulation,[status(thm)],[f282,f3809]) ).

fof(f3811,plain,
    ( $false
    | ~ spl0_118
    | ~ spl0_54
    | ~ spl0_200
    | ~ spl0_257
    | spl0_191 ),
    inference(trivial_equality_resolution,[status(esa)],[f3810]) ).

fof(f3812,plain,
    ( ~ spl0_118
    | ~ spl0_54
    | ~ spl0_200
    | ~ spl0_257
    | spl0_191 ),
    inference(contradiction_clause,[status(thm)],[f3811]) ).

fof(f3823,plain,
    ( h4(e13) != op2(h4(e10),e23)
    | ~ spl0_11
    | ~ spl0_222
    | spl0_203 ),
    inference(backward_demodulation,[status(thm)],[f918,f2918]) ).

fof(f3826,plain,
    ( h4(op1(e11,e12)) != op2(e21,e23)
    | ~ spl0_125
    | ~ spl0_222
    | spl0_207 ),
    inference(forward_demodulation,[status(thm)],[f3716,f2910]) ).

fof(f3835,plain,
    ( h4(e12) != op2(e21,e23)
    | ~ spl0_26
    | ~ spl0_125
    | ~ spl0_222
    | spl0_207 ),
    inference(backward_demodulation,[status(thm)],[f967,f3826]) ).

fof(f3836,plain,
    ( h4(e12) != e23
    | ~ spl0_95
    | ~ spl0_26
    | ~ spl0_125
    | ~ spl0_222
    | spl0_207 ),
    inference(forward_demodulation,[status(thm)],[f1223,f3835]) ).

fof(f3837,plain,
    ( e23 != e23
    | ~ spl0_95
    | ~ spl0_26
    | ~ spl0_125
    | ~ spl0_222
    | spl0_207 ),
    inference(forward_demodulation,[status(thm)],[f1681,f3836]) ).

fof(f3838,plain,
    ( $false
    | ~ spl0_95
    | ~ spl0_26
    | ~ spl0_125
    | ~ spl0_222
    | spl0_207 ),
    inference(trivial_equality_resolution,[status(esa)],[f3837]) ).

fof(f3839,plain,
    ( ~ spl0_95
    | ~ spl0_26
    | ~ spl0_125
    | ~ spl0_222
    | spl0_207 ),
    inference(contradiction_clause,[status(thm)],[f3838]) ).

fof(f3843,plain,
    ( ~ spl0_4
    | ~ spl0_8 ),
    inference(split_clause,[status(thm)],[f3630,f895,f908]) ).

fof(f3855,plain,
    ( h4(op1(e10,e10)) != op2(h4(e10),e20)
    | ~ spl0_125
    | spl0_201 ),
    inference(backward_demodulation,[status(thm)],[f3771,f1617]) ).

fof(f3856,plain,
    ( h4(op1(e10,e10)) != op2(e20,e20)
    | ~ spl0_125
    | spl0_201 ),
    inference(forward_demodulation,[status(thm)],[f3771,f3855]) ).

fof(f3864,plain,
    ( op1(e13,e11) != e11
    | ~ spl0_61 ),
    inference(paramodulation,[status(thm)],[f1081,f162]) ).

fof(f3865,plain,
    ( ~ spl0_53
    | ~ spl0_61 ),
    inference(split_clause,[status(thm)],[f3864,f1054,f1080]) ).

fof(f3869,plain,
    ( op1(e10,e13) != e11
    | ~ spl0_61 ),
    inference(paramodulation,[status(thm)],[f1081,f136]) ).

fof(f3870,plain,
    ( ~ spl0_13
    | ~ spl0_61 ),
    inference(split_clause,[status(thm)],[f3869,f924,f1080]) ).

fof(f3872,plain,
    ( op1(e13,e11) != e12
    | ~ spl0_62 ),
    inference(paramodulation,[status(thm)],[f1084,f162]) ).

fof(f3873,plain,
    ( ~ spl0_54
    | ~ spl0_62 ),
    inference(split_clause,[status(thm)],[f3872,f1057,f1083]) ).

fof(f3874,plain,
    ( op1(e13,e10) != e12
    | ~ spl0_62 ),
    inference(paramodulation,[status(thm)],[f1084,f160]) ).

fof(f3875,plain,
    ( op1(e12,e13) != e12
    | ~ spl0_62 ),
    inference(paramodulation,[status(thm)],[f1084,f139]) ).

fof(f3876,plain,
    ( op1(e11,e13) != e12
    | ~ spl0_62 ),
    inference(paramodulation,[status(thm)],[f1084,f138]) ).

fof(f3877,plain,
    ( ~ spl0_30
    | ~ spl0_62 ),
    inference(split_clause,[status(thm)],[f3876,f979,f1083]) ).

fof(f3879,plain,
    ( h4(e10) != op2(e20,h4(e13))
    | ~ spl0_125
    | ~ spl0_12
    | spl0_204 ),
    inference(forward_demodulation,[status(thm)],[f3771,f3416]) ).

fof(f3880,plain,
    ( h4(e10) != op2(e20,e22)
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_12
    | spl0_204 ),
    inference(forward_demodulation,[status(thm)],[f3766,f3879]) ).

fof(f3881,plain,
    ( h4(e10) != e20
    | ~ spl0_72
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_12
    | spl0_204 ),
    inference(forward_demodulation,[status(thm)],[f1149,f3880]) ).

fof(f3882,plain,
    ( e20 != e20
    | ~ spl0_72
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_12
    | spl0_204 ),
    inference(forward_demodulation,[status(thm)],[f3771,f3881]) ).

fof(f3883,plain,
    ( $false
    | ~ spl0_72
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_12
    | spl0_204 ),
    inference(trivial_equality_resolution,[status(esa)],[f3882]) ).

fof(f3884,plain,
    ( ~ spl0_72
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_12
    | spl0_204 ),
    inference(contradiction_clause,[status(thm)],[f3883]) ).

fof(f3885,plain,
    ( h4(e11) != op2(e20,e21)
    | ~ spl0_125
    | ~ spl0_5
    | spl0_202 ),
    inference(forward_demodulation,[status(thm)],[f3771,f3807]) ).

fof(f3886,plain,
    ( h4(e11) != e21
    | ~ spl0_69
    | ~ spl0_125
    | ~ spl0_5
    | spl0_202 ),
    inference(forward_demodulation,[status(thm)],[f1139,f3885]) ).

fof(f3887,plain,
    ( e21 != e21
    | ~ spl0_69
    | ~ spl0_125
    | ~ spl0_5
    | spl0_202 ),
    inference(forward_demodulation,[status(thm)],[f3716,f3886]) ).

fof(f3888,plain,
    ( $false
    | ~ spl0_69
    | ~ spl0_125
    | ~ spl0_5
    | spl0_202 ),
    inference(trivial_equality_resolution,[status(esa)],[f3887]) ).

fof(f3889,plain,
    ( ~ spl0_69
    | ~ spl0_125
    | ~ spl0_5
    | spl0_202 ),
    inference(contradiction_clause,[status(thm)],[f3888]) ).

fof(f3890,plain,
    ( h4(e11) != op2(e22,h4(e13))
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_61
    | spl0_216 ),
    inference(forward_demodulation,[status(thm)],[f3766,f3601]) ).

fof(f3891,plain,
    ( h4(e11) != op2(e22,e22)
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_61
    | spl0_216 ),
    inference(forward_demodulation,[status(thm)],[f3766,f3890]) ).

fof(f3892,plain,
    ( h4(e12) != op2(e23,e22)
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_46
    | ~ spl0_222
    | spl0_212 ),
    inference(forward_demodulation,[status(thm)],[f3766,f3304]) ).

fof(f3893,plain,
    ( h4(e12) != e23
    | ~ spl0_123
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_46
    | ~ spl0_222
    | spl0_212 ),
    inference(forward_demodulation,[status(thm)],[f1314,f3892]) ).

fof(f3894,plain,
    ( e23 != e23
    | ~ spl0_123
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_46
    | ~ spl0_222
    | spl0_212 ),
    inference(forward_demodulation,[status(thm)],[f1681,f3893]) ).

fof(f3895,plain,
    ( $false
    | ~ spl0_123
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_46
    | ~ spl0_222
    | spl0_212 ),
    inference(trivial_equality_resolution,[status(esa)],[f3894]) ).

fof(f3896,plain,
    ( ~ spl0_123
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_46
    | ~ spl0_222
    | spl0_212 ),
    inference(contradiction_clause,[status(thm)],[f3895]) ).

fof(f3906,plain,
    ( h4(e13) != op2(e21,h4(e13))
    | ~ spl0_31
    | ~ spl0_125
    | spl0_208 ),
    inference(forward_demodulation,[status(thm)],[f983,f3775]) ).

fof(f3907,plain,
    ( h4(e13) != op2(e21,e22)
    | ~ spl0_118
    | ~ spl0_31
    | ~ spl0_125
    | spl0_208 ),
    inference(forward_demodulation,[status(thm)],[f3766,f3906]) ).

fof(f3908,plain,
    ( h4(e13) != e22
    | ~ spl0_90
    | ~ spl0_118
    | ~ spl0_31
    | ~ spl0_125
    | spl0_208 ),
    inference(forward_demodulation,[status(thm)],[f1207,f3907]) ).

fof(f3909,plain,
    ( e22 != e22
    | ~ spl0_90
    | ~ spl0_118
    | ~ spl0_31
    | ~ spl0_125
    | spl0_208 ),
    inference(forward_demodulation,[status(thm)],[f3766,f3908]) ).

fof(f3910,plain,
    ( $false
    | ~ spl0_90
    | ~ spl0_118
    | ~ spl0_31
    | ~ spl0_125
    | spl0_208 ),
    inference(trivial_equality_resolution,[status(esa)],[f3909]) ).

fof(f3911,plain,
    ( ~ spl0_90
    | ~ spl0_118
    | ~ spl0_31
    | ~ spl0_125
    | spl0_208 ),
    inference(contradiction_clause,[status(thm)],[f3910]) ).

fof(f3937,plain,
    ( h3(e10) != op2(e23,e20)
    | ~ spl0_48
    | ~ spl0_200
    | spl0_190 ),
    inference(backward_demodulation,[status(thm)],[f1039,f3186]) ).

fof(f3938,plain,
    ( h3(e10) != e20
    | ~ spl0_112
    | ~ spl0_48
    | ~ spl0_200
    | spl0_190 ),
    inference(forward_demodulation,[status(thm)],[f1279,f3937]) ).

fof(f3939,plain,
    ( e20 != e20
    | ~ spl0_252
    | ~ spl0_112
    | ~ spl0_48
    | ~ spl0_200
    | spl0_190 ),
    inference(forward_demodulation,[status(thm)],[f1819,f3938]) ).

fof(f3940,plain,
    ( $false
    | ~ spl0_252
    | ~ spl0_112
    | ~ spl0_48
    | ~ spl0_200
    | spl0_190 ),
    inference(trivial_equality_resolution,[status(esa)],[f3939]) ).

fof(f3941,plain,
    ( ~ spl0_252
    | ~ spl0_112
    | ~ spl0_48
    | ~ spl0_200
    | spl0_190 ),
    inference(contradiction_clause,[status(thm)],[f3940]) ).

fof(f3945,plain,
    ( ~ spl0_2
    | ~ spl0_50 ),
    inference(split_clause,[status(thm)],[f2772,f888,f1044]) ).

fof(f3955,plain,
    ( h4(e10) != op2(e23,e20)
    | ~ spl0_125
    | ~ spl0_222
    | ~ spl0_32
    | spl0_209 ),
    inference(forward_demodulation,[status(thm)],[f3771,f2942]) ).

fof(f3956,plain,
    ( h4(e10) != e20
    | ~ spl0_112
    | ~ spl0_125
    | ~ spl0_222
    | ~ spl0_32
    | spl0_209 ),
    inference(forward_demodulation,[status(thm)],[f1279,f3955]) ).

fof(f3957,plain,
    ( e20 != e20
    | ~ spl0_112
    | ~ spl0_125
    | ~ spl0_222
    | ~ spl0_32
    | spl0_209 ),
    inference(forward_demodulation,[status(thm)],[f3771,f3956]) ).

fof(f3958,plain,
    ( $false
    | ~ spl0_112
    | ~ spl0_125
    | ~ spl0_222
    | ~ spl0_32
    | spl0_209 ),
    inference(trivial_equality_resolution,[status(esa)],[f3957]) ).

fof(f3959,plain,
    ( ~ spl0_112
    | ~ spl0_125
    | ~ spl0_222
    | ~ spl0_32
    | spl0_209 ),
    inference(contradiction_clause,[status(thm)],[f3958]) ).

fof(f3961,plain,
    ( h4(e12) != op2(e22,e21)
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_54
    | spl0_214 ),
    inference(forward_demodulation,[status(thm)],[f3766,f3808]) ).

fof(f3980,plain,
    ( h4(e12) != e23
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_54
    | spl0_214 ),
    inference(paramodulation,[status(thm)],[f2576,f3961]) ).

fof(f3981,plain,
    ( ~ spl0_222
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_54
    | spl0_214 ),
    inference(split_clause,[status(thm)],[f3980,f1680,f1297,f1320,f1057,f1654]) ).

fof(f3985,plain,
    ( h4(e11) != e21
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_61
    | spl0_216 ),
    inference(paramodulation,[status(thm)],[f272,f3891]) ).

fof(f3986,plain,
    ( ~ spl0_269
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_61
    | spl0_216 ),
    inference(split_clause,[status(thm)],[f3985,f1886,f1297,f1320,f1080,f1660]) ).

fof(f3987,plain,
    ( h4(op1(e13,e13)) = op2(e22,h4(e13))
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_216 ),
    inference(forward_demodulation,[status(thm)],[f3766,f1661]) ).

fof(f3988,plain,
    ( h4(op1(e13,e13)) = op2(e22,e22)
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_216 ),
    inference(forward_demodulation,[status(thm)],[f3766,f3987]) ).

fof(f3989,plain,
    ( h4(op1(e13,e13)) = e21
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_216 ),
    inference(forward_demodulation,[status(thm)],[f272,f3988]) ).

fof(f3990,plain,
    ( e21 != e21
    | ~ spl0_125
    | ~ spl0_67
    | spl0_232 ),
    inference(forward_demodulation,[status(thm)],[f3763,f1740]) ).

fof(f3991,plain,
    ( $false
    | ~ spl0_125
    | ~ spl0_67
    | spl0_232 ),
    inference(trivial_equality_resolution,[status(esa)],[f3990]) ).

fof(f3992,plain,
    ( ~ spl0_125
    | ~ spl0_67
    | spl0_232 ),
    inference(contradiction_clause,[status(thm)],[f3991]) ).

fof(f3994,plain,
    ( e23 != e23
    | ~ spl0_67
    | spl0_152 ),
    inference(forward_demodulation,[status(thm)],[f3678,f1459]) ).

fof(f3995,plain,
    ( $false
    | ~ spl0_67
    | spl0_152 ),
    inference(trivial_equality_resolution,[status(esa)],[f3994]) ).

fof(f3996,plain,
    ( ~ spl0_67
    | spl0_152 ),
    inference(contradiction_clause,[status(thm)],[f3995]) ).

fof(f3997,plain,
    ( h3(e13) != op2(e20,e20)
    | ~ spl0_3
    | spl0_178 ),
    inference(forward_demodulation,[status(thm)],[f892,f3160]) ).

fof(f3998,plain,
    ( h3(e13) != e23
    | ~ spl0_67
    | ~ spl0_3
    | spl0_178 ),
    inference(forward_demodulation,[status(thm)],[f1132,f3997]) ).

fof(f3999,plain,
    ( e23 != e23
    | ~ spl0_200
    | ~ spl0_67
    | ~ spl0_3
    | spl0_178 ),
    inference(forward_demodulation,[status(thm)],[f1612,f3998]) ).

fof(f4000,plain,
    ( $false
    | ~ spl0_200
    | ~ spl0_67
    | ~ spl0_3
    | spl0_178 ),
    inference(trivial_equality_resolution,[status(esa)],[f3999]) ).

fof(f4001,plain,
    ( ~ spl0_200
    | ~ spl0_67
    | ~ spl0_3
    | spl0_178 ),
    inference(contradiction_clause,[status(thm)],[f4000]) ).

fof(f4007,plain,
    ( h2(op1(e13,e11)) != op2(e21,e20)
    | ~ spl0_81
    | spl0_168 ),
    inference(forward_demodulation,[status(thm)],[f3380,f3157]) ).

fof(f4010,plain,
    ( h2(e10) != op2(e21,h2(e10))
    | ~ spl0_81
    | ~ spl0_48
    | spl0_167 ),
    inference(forward_demodulation,[status(thm)],[f3380,f2496]) ).

fof(f4011,plain,
    ( h2(e10) != op2(e21,e23)
    | ~ spl0_67
    | ~ spl0_81
    | ~ spl0_48
    | spl0_167 ),
    inference(forward_demodulation,[status(thm)],[f3764,f4010]) ).

fof(f4012,plain,
    ( h2(e10) != e23
    | ~ spl0_95
    | ~ spl0_67
    | ~ spl0_81
    | ~ spl0_48
    | spl0_167 ),
    inference(forward_demodulation,[status(thm)],[f1223,f4011]) ).

fof(f4013,plain,
    ( e23 != e23
    | ~ spl0_95
    | ~ spl0_67
    | ~ spl0_81
    | ~ spl0_48
    | spl0_167 ),
    inference(forward_demodulation,[status(thm)],[f3764,f4012]) ).

fof(f4014,plain,
    ( $false
    | ~ spl0_95
    | ~ spl0_67
    | ~ spl0_81
    | ~ spl0_48
    | spl0_167 ),
    inference(trivial_equality_resolution,[status(esa)],[f4013]) ).

fof(f4015,plain,
    ( ~ spl0_95
    | ~ spl0_67
    | ~ spl0_81
    | ~ spl0_48
    | spl0_167 ),
    inference(contradiction_clause,[status(thm)],[f4014]) ).

fof(f4018,plain,
    ( h2(e13) != op2(e20,e21)
    | ~ spl0_81
    | ~ spl0_31
    | spl0_162 ),
    inference(forward_demodulation,[status(thm)],[f3380,f3228]) ).

fof(f4019,plain,
    ( h2(e13) != e21
    | ~ spl0_69
    | ~ spl0_81
    | ~ spl0_31
    | spl0_162 ),
    inference(forward_demodulation,[status(thm)],[f1139,f4018]) ).

fof(f4020,plain,
    ( e21 != e21
    | ~ spl0_69
    | ~ spl0_81
    | ~ spl0_31
    | spl0_162 ),
    inference(forward_demodulation,[status(thm)],[f3380,f4019]) ).

fof(f4021,plain,
    ( $false
    | ~ spl0_69
    | ~ spl0_81
    | ~ spl0_31
    | spl0_162 ),
    inference(trivial_equality_resolution,[status(esa)],[f4020]) ).

fof(f4022,plain,
    ( ~ spl0_69
    | ~ spl0_81
    | ~ spl0_31
    | spl0_162 ),
    inference(contradiction_clause,[status(thm)],[f4021]) ).

fof(f4032,plain,
    ( h2(e11) != op2(e23,e20)
    | ~ spl0_67
    | ~ spl0_5
    | spl0_156 ),
    inference(forward_demodulation,[status(thm)],[f3764,f3234]) ).

fof(f4033,plain,
    ( h2(e11) != e20
    | ~ spl0_112
    | ~ spl0_67
    | ~ spl0_5
    | spl0_156 ),
    inference(forward_demodulation,[status(thm)],[f1279,f4032]) ).

fof(f4034,plain,
    ( e20 != e20
    | ~ spl0_112
    | ~ spl0_67
    | ~ spl0_5
    | spl0_156 ),
    inference(forward_demodulation,[status(thm)],[f2814,f4033]) ).

fof(f4035,plain,
    ( $false
    | ~ spl0_112
    | ~ spl0_67
    | ~ spl0_5
    | spl0_156 ),
    inference(trivial_equality_resolution,[status(esa)],[f4034]) ).

fof(f4036,plain,
    ( ~ spl0_112
    | ~ spl0_67
    | ~ spl0_5
    | spl0_156 ),
    inference(contradiction_clause,[status(thm)],[f4035]) ).

fof(f4037,plain,
    ( h2(e13) != op2(h2(e10),h2(e10))
    | ~ spl0_3
    | spl0_155 ),
    inference(forward_demodulation,[status(thm)],[f892,f1471]) ).

fof(f4038,plain,
    ( h2(e13) != op2(e23,h2(e10))
    | ~ spl0_67
    | ~ spl0_3
    | spl0_155 ),
    inference(forward_demodulation,[status(thm)],[f3764,f4037]) ).

fof(f4039,plain,
    ( h2(e13) != op2(e23,e23)
    | ~ spl0_67
    | ~ spl0_3
    | spl0_155 ),
    inference(forward_demodulation,[status(thm)],[f3764,f4038]) ).

fof(f4040,plain,
    ( h2(e13) != e21
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_3
    | spl0_155 ),
    inference(forward_demodulation,[status(thm)],[f1321,f4039]) ).

fof(f4041,plain,
    ( e21 != e21
    | ~ spl0_81
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_3
    | spl0_155 ),
    inference(forward_demodulation,[status(thm)],[f3380,f4040]) ).

fof(f4042,plain,
    ( $false
    | ~ spl0_81
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_3
    | spl0_155 ),
    inference(trivial_equality_resolution,[status(esa)],[f4041]) ).

fof(f4043,plain,
    ( ~ spl0_81
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_3
    | spl0_155 ),
    inference(contradiction_clause,[status(thm)],[f4042]) ).

fof(f4046,plain,
    ( h1(e11) != e23
    | spl0_174 ),
    inference(backward_demodulation,[status(thm)],[f3163,f1528]) ).

fof(f4047,plain,
    ( ~ spl0_152
    | spl0_174 ),
    inference(split_clause,[status(thm)],[f4046,f1457,f1526]) ).

fof(f4051,plain,
    ( h2(op1(e13,e10)) = op2(e21,h2(e10))
    | ~ spl0_81
    | ~ spl0_167 ),
    inference(forward_demodulation,[status(thm)],[f3380,f1506]) ).

fof(f4089,plain,
    ( h3(e10) != op2(e20,e23)
    | ~ spl0_12
    | ~ spl0_200
    | spl0_181 ),
    inference(backward_demodulation,[status(thm)],[f922,f3187]) ).

fof(f4097,plain,
    ( h2(e12) != op2(e21,e20)
    | ~ spl0_54
    | ~ spl0_81
    | spl0_168 ),
    inference(backward_demodulation,[status(thm)],[f1058,f4007]) ).

fof(f4098,plain,
    ( h2(e12) != e21
    | ~ spl0_54
    | ~ spl0_81
    | spl0_168 ),
    inference(forward_demodulation,[status(thm)],[f1178,f4097]) ).

fof(f4099,plain,
    ( e21 != e21
    | ~ spl0_54
    | ~ spl0_81
    | spl0_168 ),
    inference(forward_demodulation,[status(thm)],[f278,f4098]) ).

fof(f4100,plain,
    ( $false
    | ~ spl0_54
    | ~ spl0_81
    | spl0_168 ),
    inference(trivial_equality_resolution,[status(esa)],[f4099]) ).

fof(f4101,plain,
    ( ~ spl0_54
    | ~ spl0_81
    | spl0_168 ),
    inference(contradiction_clause,[status(thm)],[f4100]) ).

fof(f4111,plain,
    ( h3(e11) != op2(e20,e21)
    | ~ spl0_5
    | ~ spl0_257
    | spl0_179 ),
    inference(backward_demodulation,[status(thm)],[f899,f3185]) ).

fof(f4112,plain,
    ( h3(e11) != e21
    | ~ spl0_69
    | ~ spl0_5
    | ~ spl0_257
    | spl0_179 ),
    inference(forward_demodulation,[status(thm)],[f1139,f4111]) ).

fof(f4113,plain,
    ( e21 != e21
    | ~ spl0_69
    | ~ spl0_5
    | ~ spl0_257
    | spl0_179 ),
    inference(forward_demodulation,[status(thm)],[f1839,f4112]) ).

fof(f4114,plain,
    ( $false
    | ~ spl0_69
    | ~ spl0_5
    | ~ spl0_257
    | spl0_179 ),
    inference(trivial_equality_resolution,[status(esa)],[f4113]) ).

fof(f4115,plain,
    ( ~ spl0_69
    | ~ spl0_5
    | ~ spl0_257
    | spl0_179 ),
    inference(contradiction_clause,[status(thm)],[f4114]) ).

fof(f4124,plain,
    ( e11 = e10
    | ~ spl0_40 ),
    inference(backward_demodulation,[status(thm)],[f1013,f269]) ).

fof(f4125,plain,
    ( $false
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4124,f212]) ).

fof(f4126,plain,
    ~ spl0_40,
    inference(contradiction_clause,[status(thm)],[f4125]) ).

fof(f4127,plain,
    ( ~ spl0_18
    | ~ spl0_34 ),
    inference(split_clause,[status(thm)],[f3641,f940,f992]) ).

fof(f4132,plain,
    ( h3(e12) != e22
    | ~ spl0_98
    | ~ spl0_34
    | spl0_186 ),
    inference(forward_demodulation,[status(thm)],[f1233,f3256]) ).

fof(f4133,plain,
    ( e22 != e22
    | ~ spl0_98
    | ~ spl0_34
    | spl0_186 ),
    inference(forward_demodulation,[status(thm)],[f282,f4132]) ).

fof(f4134,plain,
    ( $false
    | ~ spl0_98
    | ~ spl0_34
    | spl0_186 ),
    inference(trivial_equality_resolution,[status(esa)],[f4133]) ).

fof(f4135,plain,
    ( ~ spl0_98
    | ~ spl0_34
    | spl0_186 ),
    inference(contradiction_clause,[status(thm)],[f4134]) ).

fof(f4136,plain,
    ( h2(e12) != e21
    | ~ spl0_69
    | ~ spl0_26
    | spl0_161 ),
    inference(forward_demodulation,[status(thm)],[f1139,f3230]) ).

fof(f4137,plain,
    ( e21 != e21
    | ~ spl0_69
    | ~ spl0_26
    | spl0_161 ),
    inference(forward_demodulation,[status(thm)],[f278,f4136]) ).

fof(f4138,plain,
    ( $false
    | ~ spl0_69
    | ~ spl0_26
    | spl0_161 ),
    inference(trivial_equality_resolution,[status(esa)],[f4137]) ).

fof(f4139,plain,
    ( ~ spl0_69
    | ~ spl0_26
    | spl0_161 ),
    inference(contradiction_clause,[status(thm)],[f4138]) ).

fof(f4140,plain,
    ( h3(e12) != e22
    | ~ spl0_90
    | ~ spl0_257
    | ~ spl0_26
    | spl0_184 ),
    inference(forward_demodulation,[status(thm)],[f1207,f3044]) ).

fof(f4141,plain,
    ( e22 != e22
    | ~ spl0_90
    | ~ spl0_257
    | ~ spl0_26
    | spl0_184 ),
    inference(forward_demodulation,[status(thm)],[f282,f4140]) ).

fof(f4142,plain,
    ( $false
    | ~ spl0_90
    | ~ spl0_257
    | ~ spl0_26
    | spl0_184 ),
    inference(trivial_equality_resolution,[status(esa)],[f4141]) ).

fof(f4143,plain,
    ( ~ spl0_90
    | ~ spl0_257
    | ~ spl0_26
    | spl0_184 ),
    inference(contradiction_clause,[status(thm)],[f4142]) ).

fof(f4147,plain,
    ( h4(e10) != op2(e22,e23)
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_56
    | ~ spl0_222
    | spl0_215 ),
    inference(forward_demodulation,[status(thm)],[f3766,f3534]) ).

fof(f4148,plain,
    ( h4(e10) != e20
    | ~ spl0_108
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_56
    | ~ spl0_222
    | spl0_215 ),
    inference(forward_demodulation,[status(thm)],[f1266,f4147]) ).

fof(f4149,plain,
    ( e20 != e20
    | ~ spl0_108
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_56
    | ~ spl0_222
    | spl0_215 ),
    inference(forward_demodulation,[status(thm)],[f3771,f4148]) ).

fof(f4150,plain,
    ( $false
    | ~ spl0_108
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_56
    | ~ spl0_222
    | spl0_215 ),
    inference(trivial_equality_resolution,[status(esa)],[f4149]) ).

fof(f4151,plain,
    ( ~ spl0_108
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_56
    | ~ spl0_222
    | spl0_215 ),
    inference(contradiction_clause,[status(thm)],[f4150]) ).

fof(f4156,plain,
    ( ~ spl0_1
    | ~ spl0_9 ),
    inference(split_clause,[status(thm)],[f3210,f885,f911]) ).

fof(f4176,plain,
    ( h4(e13) = op2(h4(e13),h4(e12))
    | ~ spl0_59
    | ~ spl0_215 ),
    inference(forward_demodulation,[status(thm)],[f1074,f1658]) ).

fof(f4177,plain,
    ( e22 = op2(h4(e13),h4(e12))
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_59
    | ~ spl0_215 ),
    inference(forward_demodulation,[status(thm)],[f3766,f4176]) ).

fof(f4178,plain,
    ( e22 = op2(e22,h4(e12))
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_59
    | ~ spl0_215 ),
    inference(forward_demodulation,[status(thm)],[f3766,f4177]) ).

fof(f4179,plain,
    ( e22 = op2(e22,e23)
    | ~ spl0_222
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_59
    | ~ spl0_215 ),
    inference(forward_demodulation,[status(thm)],[f1681,f4178]) ).

fof(f4180,plain,
    ( e22 = e20
    | ~ spl0_108
    | ~ spl0_222
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_59
    | ~ spl0_215 ),
    inference(forward_demodulation,[status(thm)],[f1266,f4179]) ).

fof(f4181,plain,
    ( $false
    | ~ spl0_108
    | ~ spl0_222
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_59
    | ~ spl0_215 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4180,f219]) ).

fof(f4182,plain,
    ( ~ spl0_108
    | ~ spl0_222
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_59
    | ~ spl0_215 ),
    inference(contradiction_clause,[status(thm)],[f4181]) ).

fof(f4197,plain,
    ( h1(e10) != op2(e22,h1(e13))
    | ~ spl0_78
    | ~ spl0_67
    | ~ spl0_60
    | spl0_147 ),
    inference(forward_demodulation,[status(thm)],[f3758,f2930]) ).

fof(f4198,plain,
    ( h1(e10) != op2(e22,e22)
    | ~ spl0_78
    | ~ spl0_67
    | ~ spl0_60
    | spl0_147 ),
    inference(forward_demodulation,[status(thm)],[f3758,f4197]) ).

fof(f4215,plain,
    ( h3(e12) != op2(e22,e23)
    | ~ spl0_46
    | ~ spl0_200
    | spl0_189 ),
    inference(backward_demodulation,[status(thm)],[f1032,f3025]) ).

fof(f4247,plain,
    ( h1(e10) != e21
    | ~ spl0_78
    | ~ spl0_67
    | ~ spl0_60
    | spl0_147 ),
    inference(paramodulation,[status(thm)],[f272,f4198]) ).

fof(f4248,plain,
    ( ~ spl0_232
    | ~ spl0_78
    | ~ spl0_67
    | ~ spl0_60
    | spl0_147 ),
    inference(split_clause,[status(thm)],[f4247,f1738,f1167,f1131,f1077,f1441]) ).

fof(f4249,plain,
    ( h1(e13) != op2(h1(e13),e20)
    | ~ spl0_59
    | spl0_146 ),
    inference(forward_demodulation,[status(thm)],[f1074,f2872]) ).

fof(f4250,plain,
    ( h1(e13) != op2(e22,e20)
    | ~ spl0_78
    | ~ spl0_67
    | ~ spl0_59
    | spl0_146 ),
    inference(forward_demodulation,[status(thm)],[f3758,f4249]) ).

fof(f4251,plain,
    ( h1(e13) != e22
    | ~ spl0_98
    | ~ spl0_78
    | ~ spl0_67
    | ~ spl0_59
    | spl0_146 ),
    inference(forward_demodulation,[status(thm)],[f1233,f4250]) ).

fof(f4252,plain,
    ( e22 != e22
    | ~ spl0_98
    | ~ spl0_78
    | ~ spl0_67
    | ~ spl0_59
    | spl0_146 ),
    inference(forward_demodulation,[status(thm)],[f3758,f4251]) ).

fof(f4253,plain,
    ( $false
    | ~ spl0_98
    | ~ spl0_78
    | ~ spl0_67
    | ~ spl0_59
    | spl0_146 ),
    inference(trivial_equality_resolution,[status(esa)],[f4252]) ).

fof(f4254,plain,
    ( ~ spl0_98
    | ~ spl0_78
    | ~ spl0_67
    | ~ spl0_59
    | spl0_146 ),
    inference(contradiction_clause,[status(thm)],[f4253]) ).

fof(f4259,plain,
    ( h1(e12) != op2(h1(e13),h1(e11))
    | ~ spl0_54
    | spl0_145 ),
    inference(forward_demodulation,[status(thm)],[f1058,f1437]) ).

fof(f4260,plain,
    ( h1(e12) != op2(e22,h1(e11))
    | ~ spl0_78
    | ~ spl0_67
    | ~ spl0_54
    | spl0_145 ),
    inference(forward_demodulation,[status(thm)],[f3758,f4259]) ).

fof(f4261,plain,
    ( h1(e12) != op2(e22,e23)
    | ~ spl0_78
    | ~ spl0_67
    | ~ spl0_54
    | spl0_145 ),
    inference(forward_demodulation,[status(thm)],[f3678,f4260]) ).

fof(f4262,plain,
    ( h1(e12) != e20
    | ~ spl0_108
    | ~ spl0_78
    | ~ spl0_67
    | ~ spl0_54
    | spl0_145 ),
    inference(forward_demodulation,[status(thm)],[f1266,f4261]) ).

fof(f4263,plain,
    ( e20 != e20
    | ~ spl0_108
    | ~ spl0_78
    | ~ spl0_67
    | ~ spl0_54
    | spl0_145 ),
    inference(forward_demodulation,[status(thm)],[f274,f4262]) ).

fof(f4264,plain,
    ( $false
    | ~ spl0_108
    | ~ spl0_78
    | ~ spl0_67
    | ~ spl0_54
    | spl0_145 ),
    inference(trivial_equality_resolution,[status(esa)],[f4263]) ).

fof(f4265,plain,
    ( ~ spl0_108
    | ~ spl0_78
    | ~ spl0_67
    | ~ spl0_54
    | spl0_145 ),
    inference(contradiction_clause,[status(thm)],[f4264]) ).

fof(f4269,plain,
    ( h1(op1(e13,e10)) != op2(e22,h1(e10))
    | ~ spl0_78
    | ~ spl0_67
    | spl0_144 ),
    inference(forward_demodulation,[status(thm)],[f3758,f1434]) ).

fof(f4270,plain,
    ( h1(op1(e13,e10)) != op2(e22,e21)
    | ~ spl0_125
    | ~ spl0_78
    | ~ spl0_67
    | spl0_144 ),
    inference(forward_demodulation,[status(thm)],[f3763,f4269]) ).

fof(f4275,plain,
    ( h4(e12) != op2(e20,e20)
    | ~ spl0_2
    | ~ spl0_125
    | spl0_201 ),
    inference(backward_demodulation,[status(thm)],[f889,f3856]) ).

fof(f4276,plain,
    ( h4(e12) != e23
    | ~ spl0_67
    | ~ spl0_2
    | ~ spl0_125
    | spl0_201 ),
    inference(forward_demodulation,[status(thm)],[f1132,f4275]) ).

fof(f4277,plain,
    ( e23 != e23
    | ~ spl0_222
    | ~ spl0_67
    | ~ spl0_2
    | ~ spl0_125
    | spl0_201 ),
    inference(forward_demodulation,[status(thm)],[f1681,f4276]) ).

fof(f4278,plain,
    ( $false
    | ~ spl0_222
    | ~ spl0_67
    | ~ spl0_2
    | ~ spl0_125
    | spl0_201 ),
    inference(trivial_equality_resolution,[status(esa)],[f4277]) ).

fof(f4279,plain,
    ( ~ spl0_222
    | ~ spl0_67
    | ~ spl0_2
    | ~ spl0_125
    | spl0_201 ),
    inference(contradiction_clause,[status(thm)],[f4278]) ).

fof(f4286,plain,
    ( h3(e10) != op2(e20,e22)
    | ~ spl0_8
    | spl0_180 ),
    inference(backward_demodulation,[status(thm)],[f909,f3158]) ).

fof(f4287,plain,
    ( h3(e10) != e20
    | ~ spl0_72
    | ~ spl0_8
    | spl0_180 ),
    inference(forward_demodulation,[status(thm)],[f1149,f4286]) ).

fof(f4288,plain,
    ( e20 != e20
    | ~ spl0_252
    | ~ spl0_72
    | ~ spl0_8
    | spl0_180 ),
    inference(forward_demodulation,[status(thm)],[f1819,f4287]) ).

fof(f4289,plain,
    ( $false
    | ~ spl0_252
    | ~ spl0_72
    | ~ spl0_8
    | spl0_180 ),
    inference(trivial_equality_resolution,[status(esa)],[f4288]) ).

fof(f4290,plain,
    ( ~ spl0_252
    | ~ spl0_72
    | ~ spl0_8
    | spl0_180 ),
    inference(contradiction_clause,[status(thm)],[f4289]) ).

fof(f4305,plain,
    ( h1(e11) != op2(e22,e21)
    | ~ spl0_49
    | ~ spl0_125
    | ~ spl0_78
    | ~ spl0_67
    | spl0_144 ),
    inference(forward_demodulation,[status(thm)],[f1042,f4270]) ).

fof(f4306,plain,
    ( h1(e11) != e23
    | ~ spl0_49
    | ~ spl0_125
    | ~ spl0_78
    | ~ spl0_67
    | spl0_144 ),
    inference(paramodulation,[status(thm)],[f2576,f4305]) ).

fof(f4307,plain,
    ( ~ spl0_152
    | ~ spl0_49
    | ~ spl0_125
    | ~ spl0_78
    | ~ spl0_67
    | spl0_144 ),
    inference(split_clause,[status(thm)],[f4306,f1457,f1041,f1320,f1167,f1131,f1432]) ).

fof(f4308,plain,
    ( h1(e12) != op2(e20,h1(e13))
    | ~ spl0_46
    | spl0_143 ),
    inference(forward_demodulation,[status(thm)],[f1032,f3022]) ).

fof(f4309,plain,
    ( h1(e12) != op2(e20,e22)
    | ~ spl0_78
    | ~ spl0_67
    | ~ spl0_46
    | spl0_143 ),
    inference(forward_demodulation,[status(thm)],[f3758,f4308]) ).

fof(f4310,plain,
    ( h1(e12) != e20
    | ~ spl0_72
    | ~ spl0_78
    | ~ spl0_67
    | ~ spl0_46
    | spl0_143 ),
    inference(forward_demodulation,[status(thm)],[f1149,f4309]) ).

fof(f4311,plain,
    ( e20 != e20
    | ~ spl0_72
    | ~ spl0_78
    | ~ spl0_67
    | ~ spl0_46
    | spl0_143 ),
    inference(forward_demodulation,[status(thm)],[f274,f4310]) ).

fof(f4312,plain,
    ( $false
    | ~ spl0_72
    | ~ spl0_78
    | ~ spl0_67
    | ~ spl0_46
    | spl0_143 ),
    inference(trivial_equality_resolution,[status(esa)],[f4311]) ).

fof(f4313,plain,
    ( ~ spl0_72
    | ~ spl0_78
    | ~ spl0_67
    | ~ spl0_46
    | spl0_143 ),
    inference(contradiction_clause,[status(thm)],[f4312]) ).

fof(f4318,plain,
    ( h1(e10) != op2(e20,h1(e10))
    | ~ spl0_32
    | spl0_140 ),
    inference(forward_demodulation,[status(thm)],[f987,f3029]) ).

fof(f4319,plain,
    ( h1(e10) != op2(e20,e21)
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_32
    | spl0_140 ),
    inference(forward_demodulation,[status(thm)],[f3763,f4318]) ).

fof(f4320,plain,
    ( h1(e10) != e21
    | ~ spl0_69
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_32
    | spl0_140 ),
    inference(forward_demodulation,[status(thm)],[f1139,f4319]) ).

fof(f4321,plain,
    ( e21 != e21
    | ~ spl0_69
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_32
    | spl0_140 ),
    inference(forward_demodulation,[status(thm)],[f3763,f4320]) ).

fof(f4322,plain,
    ( $false
    | ~ spl0_69
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_32
    | spl0_140 ),
    inference(trivial_equality_resolution,[status(esa)],[f4321]) ).

fof(f4323,plain,
    ( ~ spl0_69
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_32
    | spl0_140 ),
    inference(contradiction_clause,[status(thm)],[f4322]) ).

fof(f4327,plain,
    ( h1(e11) != op2(h1(e11),h1(e13))
    | ~ spl0_29
    | spl0_139 ),
    inference(forward_demodulation,[status(thm)],[f977,f1419]) ).

fof(f4328,plain,
    ( h1(e11) != op2(e23,h1(e13))
    | ~ spl0_67
    | ~ spl0_29
    | spl0_139 ),
    inference(forward_demodulation,[status(thm)],[f3678,f4327]) ).

fof(f4329,plain,
    ( h1(e11) != op2(e23,e22)
    | ~ spl0_78
    | ~ spl0_67
    | ~ spl0_29
    | spl0_139 ),
    inference(forward_demodulation,[status(thm)],[f3758,f4328]) ).

fof(f4330,plain,
    ( h1(e11) != e23
    | ~ spl0_123
    | ~ spl0_78
    | ~ spl0_67
    | ~ spl0_29
    | spl0_139 ),
    inference(forward_demodulation,[status(thm)],[f1314,f4329]) ).

fof(f4331,plain,
    ( e23 != e23
    | ~ spl0_123
    | ~ spl0_78
    | ~ spl0_67
    | ~ spl0_29
    | spl0_139 ),
    inference(forward_demodulation,[status(thm)],[f3678,f4330]) ).

fof(f4332,plain,
    ( $false
    | ~ spl0_123
    | ~ spl0_78
    | ~ spl0_67
    | ~ spl0_29
    | spl0_139 ),
    inference(trivial_equality_resolution,[status(esa)],[f4331]) ).

fof(f4333,plain,
    ( ~ spl0_123
    | ~ spl0_78
    | ~ spl0_67
    | ~ spl0_29
    | spl0_139 ),
    inference(contradiction_clause,[status(thm)],[f4332]) ).

fof(f4337,plain,
    ( h1(e12) != op2(e23,e20)
    | ~ spl0_67
    | ~ spl0_26
    | spl0_138 ),
    inference(forward_demodulation,[status(thm)],[f3678,f3041]) ).

fof(f4338,plain,
    ( h1(e12) != e20
    | ~ spl0_112
    | ~ spl0_67
    | ~ spl0_26
    | spl0_138 ),
    inference(forward_demodulation,[status(thm)],[f1279,f4337]) ).

fof(f4339,plain,
    ( e20 != e20
    | ~ spl0_112
    | ~ spl0_67
    | ~ spl0_26
    | spl0_138 ),
    inference(forward_demodulation,[status(thm)],[f274,f4338]) ).

fof(f4340,plain,
    ( $false
    | ~ spl0_112
    | ~ spl0_67
    | ~ spl0_26
    | spl0_138 ),
    inference(trivial_equality_resolution,[status(esa)],[f4339]) ).

fof(f4341,plain,
    ( ~ spl0_112
    | ~ spl0_67
    | ~ spl0_26
    | spl0_138 ),
    inference(contradiction_clause,[status(thm)],[f4340]) ).

fof(f4344,plain,
    ( h4(e13) != op2(e22,h4(e10))
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_51
    | spl0_213 ),
    inference(forward_demodulation,[status(thm)],[f3766,f3091]) ).

fof(f4345,plain,
    ( h4(e13) != op2(e22,e20)
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_51
    | spl0_213 ),
    inference(forward_demodulation,[status(thm)],[f3771,f4344]) ).

fof(f4346,plain,
    ( h4(e13) != e22
    | ~ spl0_98
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_51
    | spl0_213 ),
    inference(forward_demodulation,[status(thm)],[f1233,f4345]) ).

fof(f4347,plain,
    ( e22 != e22
    | ~ spl0_98
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_51
    | spl0_213 ),
    inference(forward_demodulation,[status(thm)],[f3766,f4346]) ).

fof(f4348,plain,
    ( $false
    | ~ spl0_98
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_51
    | spl0_213 ),
    inference(trivial_equality_resolution,[status(esa)],[f4347]) ).

fof(f4349,plain,
    ( ~ spl0_98
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_51
    | spl0_213 ),
    inference(contradiction_clause,[status(thm)],[f4348]) ).

fof(f4370,plain,
    ( h4(e13) != op2(e20,e23)
    | ~ spl0_125
    | ~ spl0_11
    | ~ spl0_222
    | spl0_203 ),
    inference(forward_demodulation,[status(thm)],[f3771,f3823]) ).

fof(f4371,plain,
    ( h4(e13) != e22
    | ~ spl0_78
    | ~ spl0_125
    | ~ spl0_11
    | ~ spl0_222
    | spl0_203 ),
    inference(forward_demodulation,[status(thm)],[f1168,f4370]) ).

fof(f4372,plain,
    ( e22 != e22
    | ~ spl0_118
    | ~ spl0_78
    | ~ spl0_125
    | ~ spl0_11
    | ~ spl0_222
    | spl0_203 ),
    inference(forward_demodulation,[status(thm)],[f3766,f4371]) ).

fof(f4373,plain,
    ( $false
    | ~ spl0_118
    | ~ spl0_78
    | ~ spl0_125
    | ~ spl0_11
    | ~ spl0_222
    | spl0_203 ),
    inference(trivial_equality_resolution,[status(esa)],[f4372]) ).

fof(f4374,plain,
    ( ~ spl0_118
    | ~ spl0_78
    | ~ spl0_125
    | ~ spl0_11
    | ~ spl0_222
    | spl0_203 ),
    inference(contradiction_clause,[status(thm)],[f4373]) ).

fof(f4381,plain,
    ( h4(e11) != op2(e21,h4(e10))
    | ~ spl0_125
    | ~ spl0_17
    | spl0_205 ),
    inference(forward_demodulation,[status(thm)],[f3716,f3321]) ).

fof(f4382,plain,
    ( h4(e11) != op2(e21,e20)
    | ~ spl0_125
    | ~ spl0_17
    | spl0_205 ),
    inference(forward_demodulation,[status(thm)],[f3771,f4381]) ).

fof(f4383,plain,
    ( h4(e11) != e21
    | ~ spl0_81
    | ~ spl0_125
    | ~ spl0_17
    | spl0_205 ),
    inference(forward_demodulation,[status(thm)],[f1178,f4382]) ).

fof(f4384,plain,
    ( e21 != e21
    | ~ spl0_81
    | ~ spl0_125
    | ~ spl0_17
    | spl0_205 ),
    inference(forward_demodulation,[status(thm)],[f3716,f4383]) ).

fof(f4385,plain,
    ( $false
    | ~ spl0_81
    | ~ spl0_125
    | ~ spl0_17
    | spl0_205 ),
    inference(trivial_equality_resolution,[status(esa)],[f4384]) ).

fof(f4386,plain,
    ( ~ spl0_81
    | ~ spl0_125
    | ~ spl0_17
    | spl0_205 ),
    inference(contradiction_clause,[status(thm)],[f4385]) ).

fof(f4389,plain,
    ( h1(e13) != op2(e23,h1(e10))
    | ~ spl0_67
    | ~ spl0_19
    | spl0_136 ),
    inference(forward_demodulation,[status(thm)],[f3678,f3119]) ).

fof(f4390,plain,
    ( h1(e13) != op2(e23,e21)
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_19
    | spl0_136 ),
    inference(forward_demodulation,[status(thm)],[f3763,f4389]) ).

fof(f4391,plain,
    ( h1(e13) != e22
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_19
    | spl0_136 ),
    inference(forward_demodulation,[status(thm)],[f1298,f4390]) ).

fof(f4392,plain,
    ( e22 != e22
    | ~ spl0_78
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_19
    | spl0_136 ),
    inference(forward_demodulation,[status(thm)],[f3758,f4391]) ).

fof(f4393,plain,
    ( $false
    | ~ spl0_78
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_19
    | spl0_136 ),
    inference(trivial_equality_resolution,[status(esa)],[f4392]) ).

fof(f4394,plain,
    ( ~ spl0_78
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_19
    | spl0_136 ),
    inference(contradiction_clause,[status(thm)],[f4393]) ).

fof(f4418,plain,
    ( h1(e13) != op2(e21,h1(e13))
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_15
    | spl0_135 ),
    inference(forward_demodulation,[status(thm)],[f3763,f2535]) ).

fof(f4419,plain,
    ( h1(e13) != op2(e21,e22)
    | ~ spl0_78
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_15
    | spl0_135 ),
    inference(forward_demodulation,[status(thm)],[f3758,f4418]) ).

fof(f4420,plain,
    ( h1(e13) != e22
    | ~ spl0_90
    | ~ spl0_78
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_15
    | spl0_135 ),
    inference(forward_demodulation,[status(thm)],[f1207,f4419]) ).

fof(f4421,plain,
    ( e22 != e22
    | ~ spl0_90
    | ~ spl0_78
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_15
    | spl0_135 ),
    inference(forward_demodulation,[status(thm)],[f3758,f4420]) ).

fof(f4422,plain,
    ( $false
    | ~ spl0_90
    | ~ spl0_78
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_15
    | spl0_135 ),
    inference(trivial_equality_resolution,[status(esa)],[f4421]) ).

fof(f4423,plain,
    ( ~ spl0_90
    | ~ spl0_78
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_15
    | spl0_135 ),
    inference(contradiction_clause,[status(thm)],[f4422]) ).

fof(f4427,plain,
    ( h1(op1(e10,e12)) != op2(e21,e20)
    | ~ spl0_125
    | ~ spl0_67
    | spl0_134 ),
    inference(forward_demodulation,[status(thm)],[f3763,f2916]) ).

fof(f4486,plain,
    ( h1(e10) != op2(e21,e20)
    | ~ spl0_8
    | ~ spl0_125
    | ~ spl0_67
    | spl0_134 ),
    inference(forward_demodulation,[status(thm)],[f909,f4427]) ).

fof(f4487,plain,
    ( h1(e10) != e21
    | ~ spl0_81
    | ~ spl0_8
    | ~ spl0_125
    | ~ spl0_67
    | spl0_134 ),
    inference(forward_demodulation,[status(thm)],[f1178,f4486]) ).

fof(f4488,plain,
    ( e21 != e21
    | ~ spl0_81
    | ~ spl0_8
    | ~ spl0_125
    | ~ spl0_67
    | spl0_134 ),
    inference(forward_demodulation,[status(thm)],[f3763,f4487]) ).

fof(f4489,plain,
    ( $false
    | ~ spl0_81
    | ~ spl0_8
    | ~ spl0_125
    | ~ spl0_67
    | spl0_134 ),
    inference(trivial_equality_resolution,[status(esa)],[f4488]) ).

fof(f4490,plain,
    ( ~ spl0_81
    | ~ spl0_8
    | ~ spl0_125
    | ~ spl0_67
    | spl0_134 ),
    inference(contradiction_clause,[status(thm)],[f4489]) ).

fof(f4491,plain,
    ( h1(e12) != op2(h1(e10),h1(e10))
    | ~ spl0_2
    | spl0_132 ),
    inference(forward_demodulation,[status(thm)],[f889,f1398]) ).

fof(f4492,plain,
    ( h1(e12) != op2(e21,h1(e10))
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_2
    | spl0_132 ),
    inference(forward_demodulation,[status(thm)],[f3763,f4491]) ).

fof(f4493,plain,
    ( h1(e12) != op2(e21,e21)
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_2
    | spl0_132 ),
    inference(forward_demodulation,[status(thm)],[f3763,f4492]) ).

fof(f4497,plain,
    ( h1(e12) != e20
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_2
    | spl0_132 ),
    inference(paramodulation,[status(thm)],[f2389,f4493]) ).

fof(f4498,plain,
    ( ~ spl0_230
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_2
    | spl0_132 ),
    inference(split_clause,[status(thm)],[f4497,f1730,f1320,f1131,f888,f1396]) ).

fof(f4499,plain,
    ( h1(e11) != op2(h1(e10),h1(e11))
    | ~ spl0_5
    | spl0_133 ),
    inference(forward_demodulation,[status(thm)],[f899,f1401]) ).

fof(f4500,plain,
    ( h1(e11) != op2(e21,h1(e11))
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_5
    | spl0_133 ),
    inference(forward_demodulation,[status(thm)],[f3763,f4499]) ).

fof(f4501,plain,
    ( h1(e11) != op2(e21,e23)
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_5
    | spl0_133 ),
    inference(forward_demodulation,[status(thm)],[f3678,f4500]) ).

fof(f4502,plain,
    ( h1(e11) != e23
    | ~ spl0_95
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_5
    | spl0_133 ),
    inference(forward_demodulation,[status(thm)],[f1223,f4501]) ).

fof(f4503,plain,
    ( e23 != e23
    | ~ spl0_95
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_5
    | spl0_133 ),
    inference(forward_demodulation,[status(thm)],[f3678,f4502]) ).

fof(f4504,plain,
    ( $false
    | ~ spl0_95
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_5
    | spl0_133 ),
    inference(trivial_equality_resolution,[status(esa)],[f4503]) ).

fof(f4505,plain,
    ( ~ spl0_95
    | ~ spl0_125
    | ~ spl0_67
    | ~ spl0_5
    | spl0_133 ),
    inference(contradiction_clause,[status(thm)],[f4504]) ).

fof(f4523,plain,
    ( h4(e10) = op2(h4(e10),h4(e12))
    | ~ spl0_8
    | ~ spl0_203 ),
    inference(forward_demodulation,[status(thm)],[f909,f1622]) ).

fof(f4524,plain,
    ( e20 = op2(h4(e10),h4(e12))
    | ~ spl0_125
    | ~ spl0_8
    | ~ spl0_203 ),
    inference(forward_demodulation,[status(thm)],[f3771,f4523]) ).

fof(f4525,plain,
    ( e20 = op2(e20,h4(e12))
    | ~ spl0_125
    | ~ spl0_8
    | ~ spl0_203 ),
    inference(forward_demodulation,[status(thm)],[f3771,f4524]) ).

fof(f4526,plain,
    ( e20 = op2(e20,e23)
    | ~ spl0_222
    | ~ spl0_125
    | ~ spl0_8
    | ~ spl0_203 ),
    inference(forward_demodulation,[status(thm)],[f1681,f4525]) ).

fof(f4527,plain,
    ( $false
    | spl0_76
    | ~ spl0_222
    | ~ spl0_125
    | ~ spl0_8
    | ~ spl0_203 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4526,f1163]) ).

fof(f4528,plain,
    ( spl0_76
    | ~ spl0_222
    | ~ spl0_125
    | ~ spl0_8
    | ~ spl0_203 ),
    inference(contradiction_clause,[status(thm)],[f4527]) ).

fof(f4536,plain,
    ( h3(e12) != op2(e20,e23)
    | ~ spl0_14
    | ~ spl0_200
    | spl0_181 ),
    inference(backward_demodulation,[status(thm)],[f928,f3187]) ).

fof(f4537,plain,
    ( h3(e12) != e22
    | ~ spl0_78
    | ~ spl0_14
    | ~ spl0_200
    | spl0_181 ),
    inference(forward_demodulation,[status(thm)],[f1168,f4536]) ).

fof(f4538,plain,
    ( e22 != e22
    | ~ spl0_78
    | ~ spl0_14
    | ~ spl0_200
    | spl0_181 ),
    inference(forward_demodulation,[status(thm)],[f282,f4537]) ).

fof(f4539,plain,
    ( $false
    | ~ spl0_78
    | ~ spl0_14
    | ~ spl0_200
    | spl0_181 ),
    inference(trivial_equality_resolution,[status(esa)],[f4538]) ).

fof(f4540,plain,
    ( ~ spl0_78
    | ~ spl0_14
    | ~ spl0_200
    | spl0_181 ),
    inference(contradiction_clause,[status(thm)],[f4539]) ).

fof(f4557,plain,
    ( h3(e11) != op2(e21,e20)
    | ~ spl0_17
    | ~ spl0_257
    | spl0_182 ),
    inference(backward_demodulation,[status(thm)],[f938,f3184]) ).

fof(f4558,plain,
    ( h3(e11) != e21
    | ~ spl0_81
    | ~ spl0_17
    | ~ spl0_257
    | spl0_182 ),
    inference(forward_demodulation,[status(thm)],[f1178,f4557]) ).

fof(f4559,plain,
    ( e21 != e21
    | ~ spl0_81
    | ~ spl0_17
    | ~ spl0_257
    | spl0_182 ),
    inference(forward_demodulation,[status(thm)],[f1839,f4558]) ).

fof(f4560,plain,
    ( $false
    | ~ spl0_81
    | ~ spl0_17
    | ~ spl0_257
    | spl0_182 ),
    inference(trivial_equality_resolution,[status(esa)],[f4559]) ).

fof(f4561,plain,
    ( ~ spl0_81
    | ~ spl0_17
    | ~ spl0_257
    | spl0_182 ),
    inference(contradiction_clause,[status(thm)],[f4560]) ).

fof(f4566,plain,
    ( h3(e13) != e23
    | ~ spl0_95
    | ~ spl0_200
    | ~ spl0_257
    | ~ spl0_31
    | spl0_185 ),
    inference(forward_demodulation,[status(thm)],[f1223,f3019]) ).

fof(f4567,plain,
    ( e23 != e23
    | ~ spl0_95
    | ~ spl0_200
    | ~ spl0_257
    | ~ spl0_31
    | spl0_185 ),
    inference(forward_demodulation,[status(thm)],[f1612,f4566]) ).

fof(f4568,plain,
    ( $false
    | ~ spl0_95
    | ~ spl0_200
    | ~ spl0_257
    | ~ spl0_31
    | spl0_185 ),
    inference(trivial_equality_resolution,[status(esa)],[f4567]) ).

fof(f4569,plain,
    ( ~ spl0_95
    | ~ spl0_200
    | ~ spl0_257
    | ~ spl0_31
    | spl0_185 ),
    inference(contradiction_clause,[status(thm)],[f4568]) ).

fof(f4593,plain,
    ( h3(e10) != op2(e22,e23)
    | ~ spl0_44
    | ~ spl0_200
    | spl0_189 ),
    inference(forward_demodulation,[status(thm)],[f1026,f3025]) ).

fof(f4594,plain,
    ( h3(e10) != e20
    | ~ spl0_108
    | ~ spl0_44
    | ~ spl0_200
    | spl0_189 ),
    inference(forward_demodulation,[status(thm)],[f1266,f4593]) ).

fof(f4595,plain,
    ( e20 != e20
    | ~ spl0_252
    | ~ spl0_108
    | ~ spl0_44
    | ~ spl0_200
    | spl0_189 ),
    inference(forward_demodulation,[status(thm)],[f1819,f4594]) ).

fof(f4596,plain,
    ( $false
    | ~ spl0_252
    | ~ spl0_108
    | ~ spl0_44
    | ~ spl0_200
    | spl0_189 ),
    inference(trivial_equality_resolution,[status(esa)],[f4595]) ).

fof(f4597,plain,
    ( ~ spl0_252
    | ~ spl0_108
    | ~ spl0_44
    | ~ spl0_200
    | spl0_189 ),
    inference(contradiction_clause,[status(thm)],[f4596]) ).

fof(f4603,plain,
    ( h2(e11) != op2(h2(e13),h2(e13))
    | ~ spl0_61
    | spl0_170 ),
    inference(forward_demodulation,[status(thm)],[f1081,f1516]) ).

fof(f4604,plain,
    ( h2(e11) != op2(e20,h2(e10))
    | ~ spl0_17
    | spl0_159 ),
    inference(forward_demodulation,[status(thm)],[f938,f3233]) ).

fof(f4636,plain,
    ( h2(e10) != op2(h2(e13),e21)
    | ~ spl0_56
    | spl0_169 ),
    inference(forward_demodulation,[status(thm)],[f1065,f2873]) ).

fof(f4646,plain,
    ( h2(e10) != op2(h2(e10),h2(e13))
    | ~ spl0_12
    | spl0_158 ),
    inference(forward_demodulation,[status(thm)],[f922,f1480]) ).

fof(f4647,plain,
    ( h2(e10) != op2(h1(e11),h2(e13))
    | ~ spl0_12
    | spl0_158 ),
    inference(backward_demodulation,[status(thm)],[f3163,f4646]) ).

fof(f4648,plain,
    ( h2(op1(e10,e12)) != op2(h1(e11),e21)
    | spl0_157 ),
    inference(backward_demodulation,[status(thm)],[f3163,f2917]) ).

fof(f4649,plain,
    ( h1(e11) = e22
    | ~ spl0_66 ),
    inference(forward_demodulation,[status(thm)],[f1129,f276]) ).

fof(f4650,plain,
    ( $false
    | spl0_237
    | ~ spl0_66 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4649,f1760]) ).

fof(f4651,plain,
    ( spl0_237
    | ~ spl0_66 ),
    inference(contradiction_clause,[status(thm)],[f4650]) ).

fof(f4652,plain,
    ( h1(e11) != e22
    | spl0_248 ),
    inference(backward_demodulation,[status(thm)],[f3163,f1804]) ).

fof(f4653,plain,
    ( ~ spl0_237
    | spl0_248 ),
    inference(split_clause,[status(thm)],[f4652,f1758,f1802]) ).

fof(f4654,plain,
    ( h4(e11) != op2(e20,h4(e10))
    | ~ spl0_124
    | ~ spl0_17
    | spl0_205 ),
    inference(forward_demodulation,[status(thm)],[f2968,f3321]) ).

fof(f4655,plain,
    ( h4(e13) = op2(e23,e20)
    | ~ spl0_124 ),
    inference(forward_demodulation,[status(thm)],[f2968,f2438]) ).

fof(f4661,plain,
    ( h4(e10) = op2(e20,h4(e11))
    | ~ spl0_124 ),
    inference(forward_demodulation,[status(thm)],[f2968,f2431]) ).

fof(f4662,plain,
    ( h4(e10) = op2(e20,e20)
    | ~ spl0_124 ),
    inference(forward_demodulation,[status(thm)],[f2968,f4661]) ).

fof(f4663,plain,
    ( h4(e10) = e22
    | ~ spl0_66
    | ~ spl0_124 ),
    inference(forward_demodulation,[status(thm)],[f1129,f4662]) ).

fof(f4664,plain,
    ( h4(e11) != op2(e20,e22)
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_17
    | spl0_205 ),
    inference(backward_demodulation,[status(thm)],[f4663,f4654]) ).

fof(f4665,plain,
    ( h4(e11) != e20
    | ~ spl0_72
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_17
    | spl0_205 ),
    inference(forward_demodulation,[status(thm)],[f1149,f4664]) ).

fof(f4666,plain,
    ( e20 != e20
    | ~ spl0_72
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_17
    | spl0_205 ),
    inference(forward_demodulation,[status(thm)],[f2968,f4665]) ).

fof(f4667,plain,
    ( $false
    | ~ spl0_72
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_17
    | spl0_205 ),
    inference(trivial_equality_resolution,[status(esa)],[f4666]) ).

fof(f4668,plain,
    ( ~ spl0_72
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_17
    | spl0_205 ),
    inference(contradiction_clause,[status(thm)],[f4667]) ).

fof(f4672,plain,
    ( h1(e11) != op2(h1(e13),h1(e13))
    | ~ spl0_61
    | spl0_147 ),
    inference(forward_demodulation,[status(thm)],[f1081,f1443]) ).

fof(f4673,plain,
    ( h3(e12) != e22
    | ~ spl0_110
    | ~ spl0_46
    | ~ spl0_200
    | spl0_189 ),
    inference(forward_demodulation,[status(thm)],[f1272,f4215]) ).

fof(f4674,plain,
    ( e22 != e22
    | ~ spl0_110
    | ~ spl0_46
    | ~ spl0_200
    | spl0_189 ),
    inference(forward_demodulation,[status(thm)],[f282,f4673]) ).

fof(f4675,plain,
    ( $false
    | ~ spl0_110
    | ~ spl0_46
    | ~ spl0_200
    | spl0_189 ),
    inference(trivial_equality_resolution,[status(esa)],[f4674]) ).

fof(f4676,plain,
    ( ~ spl0_110
    | ~ spl0_46
    | ~ spl0_200
    | spl0_189 ),
    inference(contradiction_clause,[status(thm)],[f4675]) ).

fof(f4677,plain,
    ( h2(e13) != op2(e20,h2(e13))
    | ~ spl0_31
    | spl0_162 ),
    inference(forward_demodulation,[status(thm)],[f983,f3188]) ).

fof(f4678,plain,
    ( h1(e12) != op2(h1(e11),e20)
    | ~ spl0_26
    | spl0_138 ),
    inference(forward_demodulation,[status(thm)],[f967,f2906]) ).

fof(f4685,plain,
    ( h4(e12) != op2(e20,e23)
    | ~ spl0_124
    | ~ spl0_222
    | ~ spl0_26
    | spl0_207 ),
    inference(forward_demodulation,[status(thm)],[f2968,f3045]) ).

fof(f4686,plain,
    ( h4(e12) != e23
    | ~ spl0_79
    | ~ spl0_124
    | ~ spl0_222
    | ~ spl0_26
    | spl0_207 ),
    inference(forward_demodulation,[status(thm)],[f1171,f4685]) ).

fof(f4687,plain,
    ( e23 != e23
    | ~ spl0_79
    | ~ spl0_124
    | ~ spl0_222
    | ~ spl0_26
    | spl0_207 ),
    inference(forward_demodulation,[status(thm)],[f1681,f4686]) ).

fof(f4688,plain,
    ( $false
    | ~ spl0_79
    | ~ spl0_124
    | ~ spl0_222
    | ~ spl0_26
    | spl0_207 ),
    inference(trivial_equality_resolution,[status(esa)],[f4687]) ).

fof(f4689,plain,
    ( ~ spl0_79
    | ~ spl0_124
    | ~ spl0_222
    | ~ spl0_26
    | spl0_207 ),
    inference(contradiction_clause,[status(thm)],[f4688]) ).

fof(f4700,plain,
    ( h3(e12) != op2(e20,e20)
    | ~ spl0_2
    | spl0_178 ),
    inference(forward_demodulation,[status(thm)],[f889,f3160]) ).

fof(f4701,plain,
    ( h3(e12) != e22
    | ~ spl0_66
    | ~ spl0_2
    | spl0_178 ),
    inference(forward_demodulation,[status(thm)],[f1129,f4700]) ).

fof(f4702,plain,
    ( e22 != e22
    | ~ spl0_66
    | ~ spl0_2
    | spl0_178 ),
    inference(forward_demodulation,[status(thm)],[f282,f4701]) ).

fof(f4703,plain,
    ( $false
    | ~ spl0_66
    | ~ spl0_2
    | spl0_178 ),
    inference(trivial_equality_resolution,[status(esa)],[f4702]) ).

fof(f4704,plain,
    ( ~ spl0_66
    | ~ spl0_2
    | spl0_178 ),
    inference(contradiction_clause,[status(thm)],[f4703]) ).

fof(f4705,plain,
    ( h2(e12) != op2(h2(e10),h2(e10))
    | ~ spl0_2
    | spl0_155 ),
    inference(forward_demodulation,[status(thm)],[f889,f1471]) ).

fof(f4706,plain,
    ( h2(e12) != op2(h1(e11),h2(e10))
    | ~ spl0_2
    | spl0_155 ),
    inference(forward_demodulation,[status(thm)],[f3163,f4705]) ).

fof(f4707,plain,
    ( h2(e12) != op2(h1(e11),h1(e11))
    | ~ spl0_2
    | spl0_155 ),
    inference(forward_demodulation,[status(thm)],[f3163,f4706]) ).

fof(f4708,plain,
    ( h2(e12) != h1(e10)
    | ~ spl0_2
    | spl0_155 ),
    inference(forward_demodulation,[status(thm)],[f2397,f4707]) ).

fof(f4717,plain,
    ( h2(e13) = e23
    | ~ spl0_83 ),
    inference(backward_demodulation,[status(thm)],[f1184,f3166]) ).

fof(f4723,plain,
    ( h4(e13) = e21
    | ~ spl0_113
    | ~ spl0_124 ),
    inference(backward_demodulation,[status(thm)],[f1282,f4655]) ).

fof(f4724,plain,
    ( $false
    | spl0_271
    | ~ spl0_113
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4723,f1896]) ).

fof(f4725,plain,
    ( spl0_271
    | ~ spl0_113
    | ~ spl0_124 ),
    inference(contradiction_clause,[status(thm)],[f4724]) ).

fof(f4726,plain,
    ( e21 != h4(e11)
    | ~ spl0_113 ),
    inference(paramodulation,[status(thm)],[f1282,f2434]) ).

fof(f4731,plain,
    ( h2(e12) != op2(e21,h2(e13))
    | ~ spl0_46
    | spl0_166 ),
    inference(backward_demodulation,[status(thm)],[f1032,f3023]) ).

fof(f4747,plain,
    ( h2(e13) != op2(h1(e11),e21)
    | ~ spl0_11
    | spl0_157 ),
    inference(forward_demodulation,[status(thm)],[f918,f4648]) ).

fof(f4748,plain,
    ( h2(e13) != op2(e22,e21)
    | ~ spl0_237
    | ~ spl0_11
    | spl0_157 ),
    inference(backward_demodulation,[status(thm)],[f1759,f4747]) ).

fof(f4749,plain,
    ( h2(e10) != op2(e22,h2(e13))
    | ~ spl0_237
    | ~ spl0_12
    | spl0_158 ),
    inference(backward_demodulation,[status(thm)],[f1759,f4647]) ).

fof(f4751,plain,
    ( h1(e10) = op2(h1(e11),e22)
    | ~ spl0_237 ),
    inference(backward_demodulation,[status(thm)],[f1759,f2397]) ).

fof(f4752,plain,
    ( h1(e10) = op2(e22,e22)
    | ~ spl0_237 ),
    inference(forward_demodulation,[status(thm)],[f1759,f4751]) ).

fof(f4753,plain,
    ( h1(e10) = e21
    | ~ spl0_237 ),
    inference(forward_demodulation,[status(thm)],[f272,f4752]) ).

fof(f4754,plain,
    ( h1(e13) = op2(e20,e22)
    | ~ spl0_237 ),
    inference(backward_demodulation,[status(thm)],[f1759,f2398]) ).

fof(f4755,plain,
    ( h1(e13) = e20
    | ~ spl0_72
    | ~ spl0_237 ),
    inference(forward_demodulation,[status(thm)],[f1149,f4754]) ).

fof(f4764,plain,
    ( h2(e13) != e23
    | ~ spl0_237
    | ~ spl0_11
    | spl0_157 ),
    inference(paramodulation,[status(thm)],[f2576,f4748]) ).

fof(f4765,plain,
    ( h2(e12) != e21
    | ~ spl0_237
    | ~ spl0_2
    | spl0_155 ),
    inference(backward_demodulation,[status(thm)],[f4753,f4708]) ).

fof(f4766,plain,
    ( ~ spl0_246
    | ~ spl0_237
    | ~ spl0_2
    | spl0_155 ),
    inference(split_clause,[status(thm)],[f4765,f1794,f1758,f888,f1469]) ).

fof(f4775,plain,
    ( h1(e11) != op2(h1(e13),e20)
    | ~ spl0_72
    | ~ spl0_237
    | ~ spl0_61
    | spl0_147 ),
    inference(backward_demodulation,[status(thm)],[f4755,f4672]) ).

fof(f4776,plain,
    ( h1(e11) != op2(e20,e20)
    | ~ spl0_72
    | ~ spl0_237
    | ~ spl0_61
    | spl0_147 ),
    inference(forward_demodulation,[status(thm)],[f4755,f4775]) ).

fof(f4777,plain,
    ( h1(e11) != e22
    | ~ spl0_66
    | ~ spl0_72
    | ~ spl0_237
    | ~ spl0_61
    | spl0_147 ),
    inference(forward_demodulation,[status(thm)],[f1129,f4776]) ).

fof(f4778,plain,
    ( e22 != e22
    | ~ spl0_66
    | ~ spl0_72
    | ~ spl0_237
    | ~ spl0_61
    | spl0_147 ),
    inference(forward_demodulation,[status(thm)],[f1759,f4777]) ).

fof(f4779,plain,
    ( $false
    | ~ spl0_66
    | ~ spl0_72
    | ~ spl0_237
    | ~ spl0_61
    | spl0_147 ),
    inference(trivial_equality_resolution,[status(esa)],[f4778]) ).

fof(f4780,plain,
    ( ~ spl0_66
    | ~ spl0_72
    | ~ spl0_237
    | ~ spl0_61
    | spl0_147 ),
    inference(contradiction_clause,[status(thm)],[f4779]) ).

fof(f4782,plain,
    ( h1(e11) = op2(h1(e13),h1(e13))
    | ~ spl0_61
    | ~ spl0_147 ),
    inference(forward_demodulation,[status(thm)],[f1081,f1442]) ).

fof(f4783,plain,
    ( e22 = op2(h1(e13),h1(e13))
    | ~ spl0_237
    | ~ spl0_61
    | ~ spl0_147 ),
    inference(forward_demodulation,[status(thm)],[f1759,f4782]) ).

fof(f4790,plain,
    ( h2(e11) != op2(e20,e22)
    | ~ spl0_248
    | ~ spl0_17
    | spl0_159 ),
    inference(forward_demodulation,[status(thm)],[f1803,f4604]) ).

fof(f4791,plain,
    ( h2(e11) != e20
    | ~ spl0_72
    | ~ spl0_248
    | ~ spl0_17
    | spl0_159 ),
    inference(forward_demodulation,[status(thm)],[f1149,f4790]) ).

fof(f4792,plain,
    ( e20 != e20
    | ~ spl0_72
    | ~ spl0_248
    | ~ spl0_17
    | spl0_159 ),
    inference(forward_demodulation,[status(thm)],[f2814,f4791]) ).

fof(f4793,plain,
    ( $false
    | ~ spl0_72
    | ~ spl0_248
    | ~ spl0_17
    | spl0_159 ),
    inference(trivial_equality_resolution,[status(esa)],[f4792]) ).

fof(f4794,plain,
    ( ~ spl0_72
    | ~ spl0_248
    | ~ spl0_17
    | spl0_159 ),
    inference(contradiction_clause,[status(thm)],[f4793]) ).

fof(f4800,plain,
    ( e21 != e21
    | ~ spl0_237
    | spl0_232 ),
    inference(forward_demodulation,[status(thm)],[f4753,f1740]) ).

fof(f4801,plain,
    ( $false
    | ~ spl0_237
    | spl0_232 ),
    inference(trivial_equality_resolution,[status(esa)],[f4800]) ).

fof(f4802,plain,
    ( ~ spl0_237
    | spl0_232 ),
    inference(contradiction_clause,[status(thm)],[f4801]) ).

fof(f4806,plain,
    ( e22 != e22
    | ~ spl0_66
    | ~ spl0_124
    | spl0_272 ),
    inference(forward_demodulation,[status(thm)],[f4663,f1900]) ).

fof(f4807,plain,
    ( $false
    | ~ spl0_66
    | ~ spl0_124
    | spl0_272 ),
    inference(trivial_equality_resolution,[status(esa)],[f4806]) ).

fof(f4808,plain,
    ( ~ spl0_66
    | ~ spl0_124
    | spl0_272 ),
    inference(contradiction_clause,[status(thm)],[f4807]) ).

fof(f4814,plain,
    ( h1(e12) != op2(e22,e20)
    | ~ spl0_237
    | ~ spl0_26
    | spl0_138 ),
    inference(forward_demodulation,[status(thm)],[f1759,f4678]) ).

fof(f4815,plain,
    ( h1(e12) != e20
    | ~ spl0_96
    | ~ spl0_237
    | ~ spl0_26
    | spl0_138 ),
    inference(forward_demodulation,[status(thm)],[f1227,f4814]) ).

fof(f4816,plain,
    ( e20 != e20
    | ~ spl0_96
    | ~ spl0_237
    | ~ spl0_26
    | spl0_138 ),
    inference(forward_demodulation,[status(thm)],[f274,f4815]) ).

fof(f4817,plain,
    ( $false
    | ~ spl0_96
    | ~ spl0_237
    | ~ spl0_26
    | spl0_138 ),
    inference(trivial_equality_resolution,[status(esa)],[f4816]) ).

fof(f4818,plain,
    ( ~ spl0_96
    | ~ spl0_237
    | ~ spl0_26
    | spl0_138 ),
    inference(contradiction_clause,[status(thm)],[f4817]) ).

fof(f4832,plain,
    ( $false
    | spl0_177
    | ~ spl0_83 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4717,f1540]) ).

fof(f4833,plain,
    ( spl0_177
    | ~ spl0_83 ),
    inference(contradiction_clause,[status(thm)],[f4832]) ).

fof(f4834,plain,
    ( ~ spl0_177
    | ~ spl0_237
    | ~ spl0_11
    | spl0_157 ),
    inference(split_clause,[status(thm)],[f4764,f1538,f1758,f917,f1475]) ).

fof(f4835,plain,
    ( h3(e11) != e21
    | ~ spl0_93
    | ~ spl0_29
    | ~ spl0_200
    | ~ spl0_257
    | spl0_185 ),
    inference(forward_demodulation,[status(thm)],[f1217,f3226]) ).

fof(f4836,plain,
    ( e21 != e21
    | ~ spl0_93
    | ~ spl0_29
    | ~ spl0_200
    | ~ spl0_257
    | spl0_185 ),
    inference(forward_demodulation,[status(thm)],[f1839,f4835]) ).

fof(f4837,plain,
    ( $false
    | ~ spl0_93
    | ~ spl0_29
    | ~ spl0_200
    | ~ spl0_257
    | spl0_185 ),
    inference(trivial_equality_resolution,[status(esa)],[f4836]) ).

fof(f4838,plain,
    ( ~ spl0_93
    | ~ spl0_29
    | ~ spl0_200
    | ~ spl0_257
    | spl0_185 ),
    inference(contradiction_clause,[status(thm)],[f4837]) ).

fof(f4862,plain,
    ( h2(e12) != op2(e21,e23)
    | ~ spl0_177
    | ~ spl0_46
    | spl0_166 ),
    inference(backward_demodulation,[status(thm)],[f1539,f4731]) ).

fof(f4863,plain,
    ( h2(e12) != e21
    | ~ spl0_93
    | ~ spl0_177
    | ~ spl0_46
    | spl0_166 ),
    inference(forward_demodulation,[status(thm)],[f1217,f4862]) ).

fof(f4864,plain,
    ( e21 != e21
    | ~ spl0_93
    | ~ spl0_177
    | ~ spl0_46
    | spl0_166 ),
    inference(forward_demodulation,[status(thm)],[f278,f4863]) ).

fof(f4865,plain,
    ( $false
    | ~ spl0_93
    | ~ spl0_177
    | ~ spl0_46
    | spl0_166 ),
    inference(trivial_equality_resolution,[status(esa)],[f4864]) ).

fof(f4866,plain,
    ( ~ spl0_93
    | ~ spl0_177
    | ~ spl0_46
    | spl0_166 ),
    inference(contradiction_clause,[status(thm)],[f4865]) ).

fof(f4936,plain,
    ( h3(e10) != op2(e23,e23)
    | ~ spl0_60
    | ~ spl0_200
    | spl0_193 ),
    inference(forward_demodulation,[status(thm)],[f1078,f2902]) ).

fof(f4937,plain,
    ( h3(e10) != e20
    | ~ spl0_124
    | ~ spl0_60
    | ~ spl0_200
    | spl0_193 ),
    inference(forward_demodulation,[status(thm)],[f1318,f4936]) ).

fof(f4938,plain,
    ( e20 != e20
    | ~ spl0_252
    | ~ spl0_124
    | ~ spl0_60
    | ~ spl0_200
    | spl0_193 ),
    inference(forward_demodulation,[status(thm)],[f1819,f4937]) ).

fof(f4939,plain,
    ( $false
    | ~ spl0_252
    | ~ spl0_124
    | ~ spl0_60
    | ~ spl0_200
    | spl0_193 ),
    inference(trivial_equality_resolution,[status(esa)],[f4938]) ).

fof(f4940,plain,
    ( ~ spl0_252
    | ~ spl0_124
    | ~ spl0_60
    | ~ spl0_200
    | spl0_193 ),
    inference(contradiction_clause,[status(thm)],[f4939]) ).

fof(f4941,plain,
    ( h3(e10) = op2(e23,e23)
    | ~ spl0_60
    | ~ spl0_200
    | ~ spl0_193 ),
    inference(forward_demodulation,[status(thm)],[f1078,f3787]) ).

fof(f4942,plain,
    ( h3(e13) != op2(e20,e23)
    | ~ spl0_15
    | ~ spl0_200
    | spl0_181 ),
    inference(forward_demodulation,[status(thm)],[f931,f3187]) ).

fof(f4943,plain,
    ( h3(e13) != e23
    | ~ spl0_79
    | ~ spl0_15
    | ~ spl0_200
    | spl0_181 ),
    inference(forward_demodulation,[status(thm)],[f1171,f4942]) ).

fof(f4944,plain,
    ( e23 != e23
    | ~ spl0_79
    | ~ spl0_15
    | ~ spl0_200
    | spl0_181 ),
    inference(forward_demodulation,[status(thm)],[f1612,f4943]) ).

fof(f4945,plain,
    ( $false
    | ~ spl0_79
    | ~ spl0_15
    | ~ spl0_200
    | spl0_181 ),
    inference(trivial_equality_resolution,[status(esa)],[f4944]) ).

fof(f4946,plain,
    ( ~ spl0_79
    | ~ spl0_15
    | ~ spl0_200
    | spl0_181 ),
    inference(contradiction_clause,[status(thm)],[f4945]) ).

fof(f4972,plain,
    ( h3(e10) != op2(e22,e20)
    | ~ spl0_32
    | spl0_186 ),
    inference(forward_demodulation,[status(thm)],[f987,f3225]) ).

fof(f4973,plain,
    ( h3(e10) != e20
    | ~ spl0_96
    | ~ spl0_32
    | spl0_186 ),
    inference(forward_demodulation,[status(thm)],[f1227,f4972]) ).

fof(f4974,plain,
    ( e20 != e20
    | ~ spl0_252
    | ~ spl0_96
    | ~ spl0_32
    | spl0_186 ),
    inference(forward_demodulation,[status(thm)],[f1819,f4973]) ).

fof(f4975,plain,
    ( $false
    | ~ spl0_252
    | ~ spl0_96
    | ~ spl0_32
    | spl0_186 ),
    inference(trivial_equality_resolution,[status(esa)],[f4974]) ).

fof(f4976,plain,
    ( ~ spl0_252
    | ~ spl0_96
    | ~ spl0_32
    | spl0_186 ),
    inference(contradiction_clause,[status(thm)],[f4975]) ).

fof(f4978,plain,
    ( h3(e13) != op2(e21,e20)
    | ~ spl0_19
    | ~ spl0_257
    | spl0_182 ),
    inference(forward_demodulation,[status(thm)],[f944,f3184]) ).

fof(f4979,plain,
    ( h3(e13) != e23
    | ~ spl0_83
    | ~ spl0_19
    | ~ spl0_257
    | spl0_182 ),
    inference(forward_demodulation,[status(thm)],[f1184,f4978]) ).

fof(f4980,plain,
    ( e23 != e23
    | ~ spl0_200
    | ~ spl0_83
    | ~ spl0_19
    | ~ spl0_257
    | spl0_182 ),
    inference(forward_demodulation,[status(thm)],[f1612,f4979]) ).

fof(f4981,plain,
    ( $false
    | ~ spl0_200
    | ~ spl0_83
    | ~ spl0_19
    | ~ spl0_257
    | spl0_182 ),
    inference(trivial_equality_resolution,[status(esa)],[f4980]) ).

fof(f4982,plain,
    ( ~ spl0_200
    | ~ spl0_83
    | ~ spl0_19
    | ~ spl0_257
    | spl0_182 ),
    inference(contradiction_clause,[status(thm)],[f4981]) ).

fof(f4983,plain,
    ( h3(e13) = op2(h3(e11),h3(e10))
    | ~ spl0_19
    | ~ spl0_182 ),
    inference(forward_demodulation,[status(thm)],[f944,f1555]) ).

fof(f4984,plain,
    ( e23 = op2(h3(e11),h3(e10))
    | ~ spl0_200
    | ~ spl0_19
    | ~ spl0_182 ),
    inference(forward_demodulation,[status(thm)],[f1612,f4983]) ).

fof(f4985,plain,
    ( e23 = op2(e21,h3(e10))
    | ~ spl0_257
    | ~ spl0_200
    | ~ spl0_19
    | ~ spl0_182 ),
    inference(forward_demodulation,[status(thm)],[f1839,f4984]) ).

fof(f4986,plain,
    ( h3(e11) != op2(e23,e20)
    | ~ spl0_49
    | ~ spl0_200
    | spl0_190 ),
    inference(forward_demodulation,[status(thm)],[f1042,f3186]) ).

fof(f4987,plain,
    ( h3(e11) != e21
    | ~ spl0_113
    | ~ spl0_49
    | ~ spl0_200
    | spl0_190 ),
    inference(forward_demodulation,[status(thm)],[f1282,f4986]) ).

fof(f4988,plain,
    ( e21 != e21
    | ~ spl0_257
    | ~ spl0_113
    | ~ spl0_49
    | ~ spl0_200
    | spl0_190 ),
    inference(forward_demodulation,[status(thm)],[f1839,f4987]) ).

fof(f4989,plain,
    ( $false
    | ~ spl0_257
    | ~ spl0_113
    | ~ spl0_49
    | ~ spl0_200
    | spl0_190 ),
    inference(trivial_equality_resolution,[status(esa)],[f4988]) ).

fof(f4990,plain,
    ( ~ spl0_257
    | ~ spl0_113
    | ~ spl0_49
    | ~ spl0_200
    | spl0_190 ),
    inference(contradiction_clause,[status(thm)],[f4989]) ).

fof(f5015,plain,
    ( h2(e13) != op2(e22,h2(e10))
    | ~ spl0_248
    | ~ spl0_3
    | spl0_155 ),
    inference(forward_demodulation,[status(thm)],[f1803,f4037]) ).

fof(f5016,plain,
    ( h2(e13) != op2(e22,e22)
    | ~ spl0_248
    | ~ spl0_3
    | spl0_155 ),
    inference(forward_demodulation,[status(thm)],[f1803,f5015]) ).

fof(f5022,plain,
    ( h2(e13) != op2(e20,e23)
    | ~ spl0_177
    | ~ spl0_31
    | spl0_162 ),
    inference(forward_demodulation,[status(thm)],[f1539,f4677]) ).

fof(f5023,plain,
    ( h2(e13) != e23
    | ~ spl0_79
    | ~ spl0_177
    | ~ spl0_31
    | spl0_162 ),
    inference(forward_demodulation,[status(thm)],[f1171,f5022]) ).

fof(f5024,plain,
    ( e23 != e23
    | ~ spl0_79
    | ~ spl0_177
    | ~ spl0_31
    | spl0_162 ),
    inference(forward_demodulation,[status(thm)],[f1539,f5023]) ).

fof(f5025,plain,
    ( $false
    | ~ spl0_79
    | ~ spl0_177
    | ~ spl0_31
    | spl0_162 ),
    inference(trivial_equality_resolution,[status(esa)],[f5024]) ).

fof(f5026,plain,
    ( ~ spl0_79
    | ~ spl0_177
    | ~ spl0_31
    | spl0_162 ),
    inference(contradiction_clause,[status(thm)],[f5025]) ).

fof(f5027,plain,
    ( h4(e10) != op2(e23,e21)
    | ~ spl0_271
    | ~ spl0_44
    | ~ spl0_222
    | spl0_212 ),
    inference(forward_demodulation,[status(thm)],[f1895,f3613]) ).

fof(f5028,plain,
    ( h4(e10) != e22
    | ~ spl0_118
    | ~ spl0_271
    | ~ spl0_44
    | ~ spl0_222
    | spl0_212 ),
    inference(forward_demodulation,[status(thm)],[f1298,f5027]) ).

fof(f5029,plain,
    ( e22 != e22
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_118
    | ~ spl0_271
    | ~ spl0_44
    | ~ spl0_222
    | spl0_212 ),
    inference(forward_demodulation,[status(thm)],[f4663,f5028]) ).

fof(f5030,plain,
    ( $false
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_118
    | ~ spl0_271
    | ~ spl0_44
    | ~ spl0_222
    | spl0_212 ),
    inference(trivial_equality_resolution,[status(esa)],[f5029]) ).

fof(f5031,plain,
    ( ~ spl0_66
    | ~ spl0_124
    | ~ spl0_118
    | ~ spl0_271
    | ~ spl0_44
    | ~ spl0_222
    | spl0_212 ),
    inference(contradiction_clause,[status(thm)],[f5030]) ).

fof(f5034,plain,
    ( h2(e11) != op2(e23,h2(e13))
    | ~ spl0_177
    | ~ spl0_61
    | spl0_170 ),
    inference(forward_demodulation,[status(thm)],[f1539,f4603]) ).

fof(f5035,plain,
    ( h2(e11) != op2(e23,e23)
    | ~ spl0_177
    | ~ spl0_61
    | spl0_170 ),
    inference(forward_demodulation,[status(thm)],[f1539,f5034]) ).

fof(f5036,plain,
    ( h2(e11) != e20
    | ~ spl0_124
    | ~ spl0_177
    | ~ spl0_61
    | spl0_170 ),
    inference(forward_demodulation,[status(thm)],[f1318,f5035]) ).

fof(f5037,plain,
    ( e20 != e20
    | ~ spl0_124
    | ~ spl0_177
    | ~ spl0_61
    | spl0_170 ),
    inference(forward_demodulation,[status(thm)],[f2814,f5036]) ).

fof(f5038,plain,
    ( $false
    | ~ spl0_124
    | ~ spl0_177
    | ~ spl0_61
    | spl0_170 ),
    inference(trivial_equality_resolution,[status(esa)],[f5037]) ).

fof(f5039,plain,
    ( ~ spl0_124
    | ~ spl0_177
    | ~ spl0_61
    | spl0_170 ),
    inference(contradiction_clause,[status(thm)],[f5038]) ).

fof(f5053,plain,
    ( h4(e13) != op2(e20,h4(e13))
    | ~ spl0_124
    | ~ spl0_31
    | spl0_208 ),
    inference(forward_demodulation,[status(thm)],[f2968,f3720]) ).

fof(f5054,plain,
    ( h4(e13) != op2(e20,e21)
    | ~ spl0_271
    | ~ spl0_124
    | ~ spl0_31
    | spl0_208 ),
    inference(forward_demodulation,[status(thm)],[f1895,f5053]) ).

fof(f5055,plain,
    ( h4(e13) != e21
    | ~ spl0_69
    | ~ spl0_271
    | ~ spl0_124
    | ~ spl0_31
    | spl0_208 ),
    inference(forward_demodulation,[status(thm)],[f1139,f5054]) ).

fof(f5056,plain,
    ( e21 != e21
    | ~ spl0_69
    | ~ spl0_271
    | ~ spl0_124
    | ~ spl0_31
    | spl0_208 ),
    inference(forward_demodulation,[status(thm)],[f1895,f5055]) ).

fof(f5057,plain,
    ( $false
    | ~ spl0_69
    | ~ spl0_271
    | ~ spl0_124
    | ~ spl0_31
    | spl0_208 ),
    inference(trivial_equality_resolution,[status(esa)],[f5056]) ).

fof(f5058,plain,
    ( ~ spl0_69
    | ~ spl0_271
    | ~ spl0_124
    | ~ spl0_31
    | spl0_208 ),
    inference(contradiction_clause,[status(thm)],[f5057]) ).

fof(f5067,plain,
    ( h2(e12) != op2(h2(e13),e20)
    | ~ spl0_54
    | spl0_168 ),
    inference(forward_demodulation,[status(thm)],[f1058,f3157]) ).

fof(f5068,plain,
    ( h2(e12) != op2(e23,e20)
    | ~ spl0_177
    | ~ spl0_54
    | spl0_168 ),
    inference(forward_demodulation,[status(thm)],[f1539,f5067]) ).

fof(f5069,plain,
    ( h2(e12) != e21
    | ~ spl0_113
    | ~ spl0_177
    | ~ spl0_54
    | spl0_168 ),
    inference(forward_demodulation,[status(thm)],[f1282,f5068]) ).

fof(f5070,plain,
    ( e21 != e21
    | ~ spl0_113
    | ~ spl0_177
    | ~ spl0_54
    | spl0_168 ),
    inference(forward_demodulation,[status(thm)],[f278,f5069]) ).

fof(f5071,plain,
    ( $false
    | ~ spl0_113
    | ~ spl0_177
    | ~ spl0_54
    | spl0_168 ),
    inference(trivial_equality_resolution,[status(esa)],[f5070]) ).

fof(f5072,plain,
    ( ~ spl0_113
    | ~ spl0_177
    | ~ spl0_54
    | spl0_168 ),
    inference(contradiction_clause,[status(thm)],[f5071]) ).

fof(f5073,plain,
    ( h1(e12) != op2(e20,h1(e11))
    | ~ spl0_72
    | ~ spl0_237
    | ~ spl0_54
    | spl0_145 ),
    inference(forward_demodulation,[status(thm)],[f4755,f4259]) ).

fof(f5074,plain,
    ( h1(e12) != op2(e20,e22)
    | ~ spl0_72
    | ~ spl0_237
    | ~ spl0_54
    | spl0_145 ),
    inference(forward_demodulation,[status(thm)],[f1759,f5073]) ).

fof(f5075,plain,
    ( h1(e12) != e20
    | ~ spl0_72
    | ~ spl0_237
    | ~ spl0_54
    | spl0_145 ),
    inference(forward_demodulation,[status(thm)],[f1149,f5074]) ).

fof(f5076,plain,
    ( e20 != e20
    | ~ spl0_72
    | ~ spl0_237
    | ~ spl0_54
    | spl0_145 ),
    inference(forward_demodulation,[status(thm)],[f274,f5075]) ).

fof(f5077,plain,
    ( $false
    | ~ spl0_72
    | ~ spl0_237
    | ~ spl0_54
    | spl0_145 ),
    inference(trivial_equality_resolution,[status(esa)],[f5076]) ).

fof(f5078,plain,
    ( ~ spl0_72
    | ~ spl0_237
    | ~ spl0_54
    | spl0_145 ),
    inference(contradiction_clause,[status(thm)],[f5077]) ).

fof(f5079,plain,
    ( h4(e11) != op2(e22,h4(e11))
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_5
    | spl0_202 ),
    inference(forward_demodulation,[status(thm)],[f4663,f3721]) ).

fof(f5080,plain,
    ( h4(e11) != op2(e22,e20)
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_5
    | spl0_202 ),
    inference(forward_demodulation,[status(thm)],[f2968,f5079]) ).

fof(f5081,plain,
    ( h4(e11) != e20
    | ~ spl0_96
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_5
    | spl0_202 ),
    inference(forward_demodulation,[status(thm)],[f1227,f5080]) ).

fof(f5082,plain,
    ( e20 != e20
    | ~ spl0_96
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_5
    | spl0_202 ),
    inference(forward_demodulation,[status(thm)],[f2968,f5081]) ).

fof(f5083,plain,
    ( $false
    | ~ spl0_96
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_5
    | spl0_202 ),
    inference(trivial_equality_resolution,[status(esa)],[f5082]) ).

fof(f5084,plain,
    ( ~ spl0_96
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_5
    | spl0_202 ),
    inference(contradiction_clause,[status(thm)],[f5083]) ).

fof(f5094,plain,
    ( h2(e11) != op2(e22,e20)
    | ~ spl0_248
    | ~ spl0_5
    | spl0_156 ),
    inference(forward_demodulation,[status(thm)],[f1803,f3234]) ).

fof(f5095,plain,
    ( h2(e11) != e20
    | ~ spl0_96
    | ~ spl0_248
    | ~ spl0_5
    | spl0_156 ),
    inference(forward_demodulation,[status(thm)],[f1227,f5094]) ).

fof(f5096,plain,
    ( e20 != e20
    | ~ spl0_96
    | ~ spl0_248
    | ~ spl0_5
    | spl0_156 ),
    inference(forward_demodulation,[status(thm)],[f2814,f5095]) ).

fof(f5097,plain,
    ( $false
    | ~ spl0_96
    | ~ spl0_248
    | ~ spl0_5
    | spl0_156 ),
    inference(trivial_equality_resolution,[status(esa)],[f5096]) ).

fof(f5098,plain,
    ( ~ spl0_96
    | ~ spl0_248
    | ~ spl0_5
    | spl0_156 ),
    inference(contradiction_clause,[status(thm)],[f5097]) ).

fof(f5099,plain,
    ( h4(e12) != op2(e23,e22)
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_222
    | ~ spl0_34
    | spl0_209 ),
    inference(forward_demodulation,[status(thm)],[f4663,f2871]) ).

fof(f5100,plain,
    ( h4(e12) != e23
    | ~ spl0_123
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_222
    | ~ spl0_34
    | spl0_209 ),
    inference(forward_demodulation,[status(thm)],[f1314,f5099]) ).

fof(f5101,plain,
    ( e23 != e23
    | ~ spl0_123
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_222
    | ~ spl0_34
    | spl0_209 ),
    inference(forward_demodulation,[status(thm)],[f1681,f5100]) ).

fof(f5102,plain,
    ( $false
    | ~ spl0_123
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_222
    | ~ spl0_34
    | spl0_209 ),
    inference(trivial_equality_resolution,[status(esa)],[f5101]) ).

fof(f5103,plain,
    ( ~ spl0_123
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_222
    | ~ spl0_34
    | spl0_209 ),
    inference(contradiction_clause,[status(thm)],[f5102]) ).

fof(f5109,plain,
    ( h1(op1(e12,e10)) != op2(e20,e21)
    | ~ spl0_237
    | spl0_140 ),
    inference(forward_demodulation,[status(thm)],[f4753,f3029]) ).

fof(f5113,plain,
    ( h4(e13) != op2(e22,h4(e10))
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_3
    | spl0_201 ),
    inference(forward_demodulation,[status(thm)],[f4663,f3723]) ).

fof(f5114,plain,
    ( h4(e13) != op2(e22,e22)
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_3
    | spl0_201 ),
    inference(forward_demodulation,[status(thm)],[f4663,f5113]) ).

fof(f5185,plain,
    ( h4(e13) != e21
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_3
    | spl0_201 ),
    inference(paramodulation,[status(thm)],[f272,f5114]) ).

fof(f5186,plain,
    ( ~ spl0_271
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_3
    | spl0_201 ),
    inference(split_clause,[status(thm)],[f5185,f1894,f1128,f1317,f891,f1615]) ).

fof(f5191,plain,
    ( h1(e13) != op2(h1(e10),h1(e10))
    | ~ spl0_3
    | spl0_132 ),
    inference(forward_demodulation,[status(thm)],[f892,f1398]) ).

fof(f5192,plain,
    ( h1(e13) != op2(e21,h1(e10))
    | ~ spl0_237
    | ~ spl0_3
    | spl0_132 ),
    inference(forward_demodulation,[status(thm)],[f4753,f5191]) ).

fof(f5193,plain,
    ( h1(e13) != op2(e21,e21)
    | ~ spl0_237
    | ~ spl0_3
    | spl0_132 ),
    inference(forward_demodulation,[status(thm)],[f4753,f5192]) ).

fof(f5194,plain,
    ( h4(e12) != op2(h4(e10),h4(e13))
    | ~ spl0_14
    | spl0_204 ),
    inference(forward_demodulation,[status(thm)],[f928,f1626]) ).

fof(f5195,plain,
    ( h4(e12) != op2(e22,h4(e13))
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_14
    | spl0_204 ),
    inference(forward_demodulation,[status(thm)],[f4663,f5194]) ).

fof(f5196,plain,
    ( h4(e12) != op2(e22,e21)
    | ~ spl0_271
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_14
    | spl0_204 ),
    inference(forward_demodulation,[status(thm)],[f1895,f5195]) ).

fof(f5199,plain,
    ( h1(e13) != e20
    | ~ spl0_237
    | ~ spl0_3
    | spl0_132 ),
    inference(paramodulation,[status(thm)],[f2389,f5193]) ).

fof(f5200,plain,
    ( e20 != e20
    | ~ spl0_72
    | ~ spl0_237
    | ~ spl0_3
    | spl0_132 ),
    inference(forward_demodulation,[status(thm)],[f4755,f5199]) ).

fof(f5201,plain,
    ( $false
    | ~ spl0_72
    | ~ spl0_237
    | ~ spl0_3
    | spl0_132 ),
    inference(trivial_equality_resolution,[status(esa)],[f5200]) ).

fof(f5202,plain,
    ( ~ spl0_72
    | ~ spl0_237
    | ~ spl0_3
    | spl0_132 ),
    inference(contradiction_clause,[status(thm)],[f5201]) ).

fof(f5207,plain,
    ( h4(e12) != e23
    | ~ spl0_271
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_14
    | spl0_204 ),
    inference(paramodulation,[status(thm)],[f2576,f5196]) ).

fof(f5208,plain,
    ( ~ spl0_222
    | ~ spl0_271
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_14
    | spl0_204 ),
    inference(split_clause,[status(thm)],[f5207,f1680,f1894,f1128,f1317,f927,f1624]) ).

fof(f5220,plain,
    ( h4(e11) != op2(e21,h4(e13))
    | ~ spl0_271
    | ~ spl0_61
    | spl0_216 ),
    inference(forward_demodulation,[status(thm)],[f1895,f3601]) ).

fof(f5221,plain,
    ( h4(e11) != op2(e21,e21)
    | ~ spl0_271
    | ~ spl0_61
    | spl0_216 ),
    inference(forward_demodulation,[status(thm)],[f1895,f5220]) ).

fof(f5225,plain,
    ( h4(e11) != e20
    | ~ spl0_271
    | ~ spl0_61
    | spl0_216 ),
    inference(paramodulation,[status(thm)],[f2389,f5221]) ).

fof(f5226,plain,
    ( ~ spl0_265
    | ~ spl0_271
    | ~ spl0_61
    | spl0_216 ),
    inference(split_clause,[status(thm)],[f5225,f1870,f1894,f1080,f1660]) ).

fof(f5231,plain,
    ( h4(e10) != op2(e21,h4(e10))
    | ~ spl0_271
    | ~ spl0_48
    | spl0_213 ),
    inference(forward_demodulation,[status(thm)],[f1895,f2497]) ).

fof(f5232,plain,
    ( h4(e10) != op2(e21,e22)
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_271
    | ~ spl0_48
    | spl0_213 ),
    inference(forward_demodulation,[status(thm)],[f4663,f5231]) ).

fof(f5233,plain,
    ( h4(e10) != e22
    | ~ spl0_90
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_271
    | ~ spl0_48
    | spl0_213 ),
    inference(forward_demodulation,[status(thm)],[f1207,f5232]) ).

fof(f5234,plain,
    ( e22 != e22
    | ~ spl0_90
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_271
    | ~ spl0_48
    | spl0_213 ),
    inference(forward_demodulation,[status(thm)],[f4663,f5233]) ).

fof(f5235,plain,
    ( $false
    | ~ spl0_90
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_271
    | ~ spl0_48
    | spl0_213 ),
    inference(trivial_equality_resolution,[status(esa)],[f5234]) ).

fof(f5236,plain,
    ( ~ spl0_90
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_271
    | ~ spl0_48
    | spl0_213 ),
    inference(contradiction_clause,[status(thm)],[f5235]) ).

fof(f5240,plain,
    ( h4(e12) != op2(h4(e13),h4(e11))
    | ~ spl0_54
    | spl0_214 ),
    inference(forward_demodulation,[status(thm)],[f1058,f1656]) ).

fof(f5241,plain,
    ( h4(e12) != op2(e21,h4(e11))
    | ~ spl0_271
    | ~ spl0_54
    | spl0_214 ),
    inference(forward_demodulation,[status(thm)],[f1895,f5240]) ).

fof(f5242,plain,
    ( h4(e12) != op2(e21,e20)
    | ~ spl0_124
    | ~ spl0_271
    | ~ spl0_54
    | spl0_214 ),
    inference(forward_demodulation,[status(thm)],[f2968,f5241]) ).

fof(f5243,plain,
    ( h4(e12) != e23
    | ~ spl0_83
    | ~ spl0_124
    | ~ spl0_271
    | ~ spl0_54
    | spl0_214 ),
    inference(forward_demodulation,[status(thm)],[f1184,f5242]) ).

fof(f5244,plain,
    ( e23 != e23
    | ~ spl0_222
    | ~ spl0_83
    | ~ spl0_124
    | ~ spl0_271
    | ~ spl0_54
    | spl0_214 ),
    inference(forward_demodulation,[status(thm)],[f1681,f5243]) ).

fof(f5245,plain,
    ( $false
    | ~ spl0_222
    | ~ spl0_83
    | ~ spl0_124
    | ~ spl0_271
    | ~ spl0_54
    | spl0_214 ),
    inference(trivial_equality_resolution,[status(esa)],[f5244]) ).

fof(f5246,plain,
    ( ~ spl0_222
    | ~ spl0_83
    | ~ spl0_124
    | ~ spl0_271
    | ~ spl0_54
    | spl0_214 ),
    inference(contradiction_clause,[status(thm)],[f5245]) ).

fof(f5250,plain,
    ( h4(e10) != op2(h4(e10),e23)
    | ~ spl0_8
    | ~ spl0_222
    | spl0_203 ),
    inference(forward_demodulation,[status(thm)],[f909,f2918]) ).

fof(f5251,plain,
    ( h4(e10) != op2(e22,e23)
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_8
    | ~ spl0_222
    | spl0_203 ),
    inference(forward_demodulation,[status(thm)],[f4663,f5250]) ).

fof(f5252,plain,
    ( h4(e10) != e22
    | ~ spl0_110
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_8
    | ~ spl0_222
    | spl0_203 ),
    inference(forward_demodulation,[status(thm)],[f1272,f5251]) ).

fof(f5253,plain,
    ( e22 != e22
    | ~ spl0_110
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_8
    | ~ spl0_222
    | spl0_203 ),
    inference(forward_demodulation,[status(thm)],[f4663,f5252]) ).

fof(f5254,plain,
    ( $false
    | ~ spl0_110
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_8
    | ~ spl0_222
    | spl0_203 ),
    inference(trivial_equality_resolution,[status(esa)],[f5253]) ).

fof(f5255,plain,
    ( ~ spl0_110
    | ~ spl0_66
    | ~ spl0_124
    | ~ spl0_8
    | ~ spl0_222
    | spl0_203 ),
    inference(contradiction_clause,[status(thm)],[f5254]) ).

fof(f5261,plain,
    ( h4(e13) != op2(h4(e13),e23)
    | ~ spl0_59
    | ~ spl0_222
    | spl0_215 ),
    inference(forward_demodulation,[status(thm)],[f1074,f2875]) ).

fof(f5262,plain,
    ( h4(e13) != op2(e21,e23)
    | ~ spl0_271
    | ~ spl0_59
    | ~ spl0_222
    | spl0_215 ),
    inference(forward_demodulation,[status(thm)],[f1895,f5261]) ).

fof(f5263,plain,
    ( h4(e13) != e21
    | ~ spl0_93
    | ~ spl0_271
    | ~ spl0_59
    | ~ spl0_222
    | spl0_215 ),
    inference(forward_demodulation,[status(thm)],[f1217,f5262]) ).

fof(f5264,plain,
    ( e21 != e21
    | ~ spl0_93
    | ~ spl0_271
    | ~ spl0_59
    | ~ spl0_222
    | spl0_215 ),
    inference(forward_demodulation,[status(thm)],[f1895,f5263]) ).

fof(f5265,plain,
    ( $false
    | ~ spl0_93
    | ~ spl0_271
    | ~ spl0_59
    | ~ spl0_222
    | spl0_215 ),
    inference(trivial_equality_resolution,[status(esa)],[f5264]) ).

fof(f5266,plain,
    ( ~ spl0_93
    | ~ spl0_271
    | ~ spl0_59
    | ~ spl0_222
    | spl0_215 ),
    inference(contradiction_clause,[status(thm)],[f5265]) ).

fof(f5270,plain,
    ( ~ spl0_9
    | ~ spl0_13 ),
    inference(split_clause,[status(thm)],[f3099,f911,f924]) ).

fof(f5271,plain,
    ( h2(e10) != op2(e23,e21)
    | ~ spl0_177
    | ~ spl0_56
    | spl0_169 ),
    inference(forward_demodulation,[status(thm)],[f1539,f4636]) ).

fof(f5272,plain,
    ( h2(e10) != e22
    | ~ spl0_118
    | ~ spl0_177
    | ~ spl0_56
    | spl0_169 ),
    inference(forward_demodulation,[status(thm)],[f1298,f5271]) ).

fof(f5273,plain,
    ( e22 != e22
    | ~ spl0_248
    | ~ spl0_118
    | ~ spl0_177
    | ~ spl0_56
    | spl0_169 ),
    inference(forward_demodulation,[status(thm)],[f1803,f5272]) ).

fof(f5274,plain,
    ( $false
    | ~ spl0_248
    | ~ spl0_118
    | ~ spl0_177
    | ~ spl0_56
    | spl0_169 ),
    inference(trivial_equality_resolution,[status(esa)],[f5273]) ).

fof(f5275,plain,
    ( ~ spl0_248
    | ~ spl0_118
    | ~ spl0_177
    | ~ spl0_56
    | spl0_169 ),
    inference(contradiction_clause,[status(thm)],[f5274]) ).

fof(f5298,plain,
    ( h2(e10) != op2(e22,e23)
    | ~ spl0_177
    | ~ spl0_237
    | ~ spl0_12
    | spl0_158 ),
    inference(forward_demodulation,[status(thm)],[f1539,f4749]) ).

fof(f5299,plain,
    ( h2(e10) != e22
    | ~ spl0_110
    | ~ spl0_177
    | ~ spl0_237
    | ~ spl0_12
    | spl0_158 ),
    inference(forward_demodulation,[status(thm)],[f1272,f5298]) ).

fof(f5300,plain,
    ( e22 != e22
    | ~ spl0_248
    | ~ spl0_110
    | ~ spl0_177
    | ~ spl0_237
    | ~ spl0_12
    | spl0_158 ),
    inference(forward_demodulation,[status(thm)],[f1803,f5299]) ).

fof(f5301,plain,
    ( $false
    | ~ spl0_248
    | ~ spl0_110
    | ~ spl0_177
    | ~ spl0_237
    | ~ spl0_12
    | spl0_158 ),
    inference(trivial_equality_resolution,[status(esa)],[f5300]) ).

fof(f5302,plain,
    ( ~ spl0_248
    | ~ spl0_110
    | ~ spl0_177
    | ~ spl0_237
    | ~ spl0_12
    | spl0_158 ),
    inference(contradiction_clause,[status(thm)],[f5301]) ).

fof(f5317,plain,
    ( h2(e10) != op2(e21,e22)
    | ~ spl0_248
    | ~ spl0_32
    | spl0_163 ),
    inference(forward_demodulation,[status(thm)],[f1803,f2941]) ).

fof(f5318,plain,
    ( h2(e10) != e22
    | ~ spl0_90
    | ~ spl0_248
    | ~ spl0_32
    | spl0_163 ),
    inference(forward_demodulation,[status(thm)],[f1207,f5317]) ).

fof(f5319,plain,
    ( e22 != e22
    | ~ spl0_90
    | ~ spl0_248
    | ~ spl0_32
    | spl0_163 ),
    inference(forward_demodulation,[status(thm)],[f1803,f5318]) ).

fof(f5320,plain,
    ( $false
    | ~ spl0_90
    | ~ spl0_248
    | ~ spl0_32
    | spl0_163 ),
    inference(trivial_equality_resolution,[status(esa)],[f5319]) ).

fof(f5321,plain,
    ( ~ spl0_90
    | ~ spl0_248
    | ~ spl0_32
    | spl0_163 ),
    inference(contradiction_clause,[status(thm)],[f5320]) ).

fof(f5326,plain,
    ( h2(e13) != op2(e23,h2(e10))
    | ~ spl0_177
    | ~ spl0_51
    | spl0_167 ),
    inference(forward_demodulation,[status(thm)],[f1539,f3092]) ).

fof(f5327,plain,
    ( h2(e13) != op2(e23,e22)
    | ~ spl0_248
    | ~ spl0_177
    | ~ spl0_51
    | spl0_167 ),
    inference(forward_demodulation,[status(thm)],[f1803,f5326]) ).

fof(f5328,plain,
    ( h2(e13) != e23
    | ~ spl0_123
    | ~ spl0_248
    | ~ spl0_177
    | ~ spl0_51
    | spl0_167 ),
    inference(forward_demodulation,[status(thm)],[f1314,f5327]) ).

fof(f5329,plain,
    ( e23 != e23
    | ~ spl0_123
    | ~ spl0_248
    | ~ spl0_177
    | ~ spl0_51
    | spl0_167 ),
    inference(forward_demodulation,[status(thm)],[f1539,f5328]) ).

fof(f5330,plain,
    ( $false
    | ~ spl0_123
    | ~ spl0_248
    | ~ spl0_177
    | ~ spl0_51
    | spl0_167 ),
    inference(trivial_equality_resolution,[status(esa)],[f5329]) ).

fof(f5331,plain,
    ( ~ spl0_123
    | ~ spl0_248
    | ~ spl0_177
    | ~ spl0_51
    | spl0_167 ),
    inference(contradiction_clause,[status(thm)],[f5330]) ).

fof(f5343,plain,
    ( ~ spl0_11
    | ~ spl0_59 ),
    inference(split_clause,[status(thm)],[f2964,f917,f1073]) ).

fof(f5348,plain,
    ( ~ spl0_50
    | ~ spl0_62 ),
    inference(split_clause,[status(thm)],[f3874,f1044,f1083]) ).

fof(f5349,plain,
    ( ~ spl0_46
    | ~ spl0_62 ),
    inference(split_clause,[status(thm)],[f3875,f1031,f1083]) ).

fof(f5356,plain,
    ( ~ spl0_83
    | ~ spl0_95 ),
    inference(split_clause,[status(thm)],[f2610,f1183,f1222]) ).

fof(f5359,plain,
    ( ~ spl0_269
    | ~ spl0_113 ),
    inference(split_clause,[status(thm)],[f4726,f1886,f1281]) ).

fof(f5361,plain,
    ( ~ spl0_113
    | ~ spl0_125 ),
    inference(split_clause,[status(thm)],[f3406,f1281,f1320]) ).

fof(f5365,plain,
    ( e22 = e23
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(forward_demodulation,[status(thm)],[f1298,f1301]) ).

fof(f5366,plain,
    ( $false
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5365,f223]) ).

fof(f5367,plain,
    ( ~ spl0_118
    | ~ spl0_119 ),
    inference(contradiction_clause,[status(thm)],[f5366]) ).

fof(f5368,plain,
    ( e20 = op2(e23,e23)
    | ~ spl0_252
    | ~ spl0_60
    | ~ spl0_200
    | ~ spl0_193 ),
    inference(forward_demodulation,[status(thm)],[f1819,f4941]) ).

fof(f5369,plain,
    ( spl0_124
    | ~ spl0_252
    | ~ spl0_60
    | ~ spl0_200
    | ~ spl0_193 ),
    inference(split_clause,[status(thm)],[f5368,f1317,f1818,f1077,f1611,f1587]) ).

fof(f5371,plain,
    ( h1(e12) != op2(h1(e13),e22)
    | ~ spl0_237
    | ~ spl0_54
    | spl0_145 ),
    inference(forward_demodulation,[status(thm)],[f1759,f4259]) ).

fof(f5373,plain,
    ( e23 = op2(e21,e20)
    | ~ spl0_252
    | ~ spl0_257
    | ~ spl0_200
    | ~ spl0_19
    | ~ spl0_182 ),
    inference(forward_demodulation,[status(thm)],[f1819,f4985]) ).

fof(f5374,plain,
    ( spl0_83
    | ~ spl0_252
    | ~ spl0_257
    | ~ spl0_200
    | ~ spl0_19
    | ~ spl0_182 ),
    inference(split_clause,[status(thm)],[f5373,f1183,f1818,f1838,f1611,f943,f1554]) ).

fof(f5426,plain,
    ( h1(e13) = e23
    | ~ spl0_75
    | ~ spl0_237 ),
    inference(forward_demodulation,[status(thm)],[f1158,f4754]) ).

fof(f5448,plain,
    ( e21 = op2(e23,e23)
    | ~ spl0_269 ),
    inference(forward_demodulation,[status(thm)],[f1887,f288]) ).

fof(f5455,plain,
    ( h4(e10) = op2(e21,h4(e11))
    | ~ spl0_269 ),
    inference(forward_demodulation,[status(thm)],[f1887,f2431]) ).

fof(f5456,plain,
    ( h4(e10) = op2(e21,e21)
    | ~ spl0_269 ),
    inference(forward_demodulation,[status(thm)],[f1887,f5455]) ).

fof(f5457,plain,
    ( h4(e10) = e20
    | ~ spl0_269 ),
    inference(forward_demodulation,[status(thm)],[f2389,f5456]) ).

fof(f5458,plain,
    ( h4(e13) = op2(e23,e21)
    | ~ spl0_269 ),
    inference(forward_demodulation,[status(thm)],[f1887,f2438]) ).

fof(f5459,plain,
    ( h4(e13) = e22
    | ~ spl0_118
    | ~ spl0_269 ),
    inference(forward_demodulation,[status(thm)],[f1298,f5458]) ).

fof(f5516,plain,
    ( h4(e10) = e21
    | ~ spl0_60
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_216 ),
    inference(forward_demodulation,[status(thm)],[f1078,f3989]) ).

fof(f5517,plain,
    ( e20 = e21
    | ~ spl0_269
    | ~ spl0_60
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_216 ),
    inference(forward_demodulation,[status(thm)],[f5457,f5516]) ).

fof(f5518,plain,
    ( $false
    | ~ spl0_269
    | ~ spl0_60
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_216 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5517,f218]) ).

fof(f5519,plain,
    ( ~ spl0_269
    | ~ spl0_60
    | ~ spl0_118
    | ~ spl0_125
    | ~ spl0_216 ),
    inference(contradiction_clause,[status(thm)],[f5518]) ).

fof(f5520,plain,
    ( h4(e10) != op2(e23,e22)
    | ~ spl0_118
    | ~ spl0_269
    | ~ spl0_44
    | ~ spl0_222
    | spl0_212 ),
    inference(forward_demodulation,[status(thm)],[f5459,f3613]) ).

fof(f5521,plain,
    ( h4(e10) != e20
    | ~ spl0_120
    | ~ spl0_118
    | ~ spl0_269
    | ~ spl0_44
    | ~ spl0_222
    | spl0_212 ),
    inference(forward_demodulation,[status(thm)],[f1305,f5520]) ).

fof(f5522,plain,
    ( e20 != e20
    | ~ spl0_120
    | ~ spl0_118
    | ~ spl0_269
    | ~ spl0_44
    | ~ spl0_222
    | spl0_212 ),
    inference(forward_demodulation,[status(thm)],[f5457,f5521]) ).

fof(f5523,plain,
    ( $false
    | ~ spl0_120
    | ~ spl0_118
    | ~ spl0_269
    | ~ spl0_44
    | ~ spl0_222
    | spl0_212 ),
    inference(trivial_equality_resolution,[status(esa)],[f5522]) ).

fof(f5524,plain,
    ( ~ spl0_120
    | ~ spl0_118
    | ~ spl0_269
    | ~ spl0_44
    | ~ spl0_222
    | spl0_212 ),
    inference(contradiction_clause,[status(thm)],[f5523]) ).

fof(f5537,plain,
    ( h2(e10) != op2(e21,e22)
    | ~ spl0_248
    | ~ spl0_81
    | ~ spl0_48
    | spl0_167 ),
    inference(forward_demodulation,[status(thm)],[f1803,f4010]) ).

fof(f5538,plain,
    ( h2(e10) != e22
    | ~ spl0_90
    | ~ spl0_248
    | ~ spl0_81
    | ~ spl0_48
    | spl0_167 ),
    inference(forward_demodulation,[status(thm)],[f1207,f5537]) ).

fof(f5539,plain,
    ( e22 != e22
    | ~ spl0_90
    | ~ spl0_248
    | ~ spl0_81
    | ~ spl0_48
    | spl0_167 ),
    inference(forward_demodulation,[status(thm)],[f1803,f5538]) ).

fof(f5540,plain,
    ( $false
    | ~ spl0_90
    | ~ spl0_248
    | ~ spl0_81
    | ~ spl0_48
    | spl0_167 ),
    inference(trivial_equality_resolution,[status(esa)],[f5539]) ).

fof(f5541,plain,
    ( ~ spl0_90
    | ~ spl0_248
    | ~ spl0_81
    | ~ spl0_48
    | spl0_167 ),
    inference(contradiction_clause,[status(thm)],[f5540]) ).

fof(f5550,plain,
    ( h2(op1(e13,e10)) = op2(e21,e22)
    | ~ spl0_248
    | ~ spl0_81
    | ~ spl0_167 ),
    inference(forward_demodulation,[status(thm)],[f1803,f4051]) ).

fof(f5551,plain,
    ( h2(op1(e13,e10)) = e22
    | ~ spl0_90
    | ~ spl0_248
    | ~ spl0_81
    | ~ spl0_167 ),
    inference(forward_demodulation,[status(thm)],[f1207,f5550]) ).

fof(f5562,plain,
    ( h1(e12) != op2(e23,e22)
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_54
    | spl0_145 ),
    inference(forward_demodulation,[status(thm)],[f5426,f5371]) ).

fof(f5563,plain,
    ( h1(e12) != e20
    | ~ spl0_120
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_54
    | spl0_145 ),
    inference(forward_demodulation,[status(thm)],[f1305,f5562]) ).

fof(f5564,plain,
    ( e20 != e20
    | ~ spl0_120
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_54
    | spl0_145 ),
    inference(forward_demodulation,[status(thm)],[f274,f5563]) ).

fof(f5565,plain,
    ( $false
    | ~ spl0_120
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_54
    | spl0_145 ),
    inference(trivial_equality_resolution,[status(esa)],[f5564]) ).

fof(f5566,plain,
    ( ~ spl0_120
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_54
    | spl0_145 ),
    inference(contradiction_clause,[status(thm)],[f5565]) ).

fof(f5580,plain,
    ( h3(e10) != e20
    | ~ spl0_76
    | ~ spl0_12
    | ~ spl0_200
    | spl0_181 ),
    inference(forward_demodulation,[status(thm)],[f1162,f4089]) ).

fof(f5581,plain,
    ( e20 != e20
    | ~ spl0_252
    | ~ spl0_76
    | ~ spl0_12
    | ~ spl0_200
    | spl0_181 ),
    inference(forward_demodulation,[status(thm)],[f1819,f5580]) ).

fof(f5582,plain,
    ( $false
    | ~ spl0_252
    | ~ spl0_76
    | ~ spl0_12
    | ~ spl0_200
    | spl0_181 ),
    inference(trivial_equality_resolution,[status(esa)],[f5581]) ).

fof(f5583,plain,
    ( ~ spl0_252
    | ~ spl0_76
    | ~ spl0_12
    | ~ spl0_200
    | spl0_181 ),
    inference(contradiction_clause,[status(thm)],[f5582]) ).

fof(f5584,plain,
    ( h1(op1(e13,e10)) != op2(e23,h1(e10))
    | ~ spl0_75
    | ~ spl0_237
    | spl0_144 ),
    inference(forward_demodulation,[status(thm)],[f5426,f1434]) ).

fof(f5585,plain,
    ( h1(op1(e13,e10)) != op2(e23,e21)
    | ~ spl0_75
    | ~ spl0_237
    | spl0_144 ),
    inference(forward_demodulation,[status(thm)],[f4753,f5584]) ).

fof(f5596,plain,
    ( h1(e12) != op2(e21,h1(e10))
    | ~ spl0_237
    | ~ spl0_2
    | spl0_132 ),
    inference(forward_demodulation,[status(thm)],[f4753,f4491]) ).

fof(f5597,plain,
    ( h1(e12) != op2(e21,e21)
    | ~ spl0_237
    | ~ spl0_2
    | spl0_132 ),
    inference(forward_demodulation,[status(thm)],[f4753,f5596]) ).

fof(f5603,plain,
    ( h4(op1(e10,e12)) != op2(e20,e23)
    | ~ spl0_269
    | ~ spl0_222
    | spl0_203 ),
    inference(forward_demodulation,[status(thm)],[f5457,f2918]) ).

fof(f5617,plain,
    ( h1(e12) != e20
    | ~ spl0_237
    | ~ spl0_2
    | spl0_132 ),
    inference(paramodulation,[status(thm)],[f2389,f5597]) ).

fof(f5618,plain,
    ( ~ spl0_230
    | ~ spl0_237
    | ~ spl0_2
    | spl0_132 ),
    inference(split_clause,[status(thm)],[f5617,f1730,f1758,f888,f1396]) ).

fof(f5621,plain,
    ( e23 != e23
    | ~ spl0_75
    | ~ spl0_237
    | spl0_154 ),
    inference(forward_demodulation,[status(thm)],[f5426,f1467]) ).

fof(f5622,plain,
    ( $false
    | ~ spl0_75
    | ~ spl0_237
    | spl0_154 ),
    inference(trivial_equality_resolution,[status(esa)],[f5621]) ).

fof(f5623,plain,
    ( ~ spl0_75
    | ~ spl0_237
    | spl0_154 ),
    inference(contradiction_clause,[status(thm)],[f5622]) ).

fof(f5672,plain,
    ( h3(e13) != op2(e20,e22)
    | ~ spl0_11
    | spl0_180 ),
    inference(backward_demodulation,[status(thm)],[f918,f3158]) ).

fof(f5673,plain,
    ( h3(e13) != e23
    | ~ spl0_75
    | ~ spl0_11
    | spl0_180 ),
    inference(forward_demodulation,[status(thm)],[f1158,f5672]) ).

fof(f5674,plain,
    ( e23 != e23
    | ~ spl0_200
    | ~ spl0_75
    | ~ spl0_11
    | spl0_180 ),
    inference(forward_demodulation,[status(thm)],[f1612,f5673]) ).

fof(f5675,plain,
    ( $false
    | ~ spl0_200
    | ~ spl0_75
    | ~ spl0_11
    | spl0_180 ),
    inference(trivial_equality_resolution,[status(esa)],[f5674]) ).

fof(f5676,plain,
    ( ~ spl0_200
    | ~ spl0_75
    | ~ spl0_11
    | spl0_180 ),
    inference(contradiction_clause,[status(thm)],[f5675]) ).

fof(f5686,plain,
    ( h2(e13) = e22
    | ~ spl0_51
    | ~ spl0_90
    | ~ spl0_248
    | ~ spl0_81
    | ~ spl0_167 ),
    inference(backward_demodulation,[status(thm)],[f1048,f5551]) ).

fof(f5687,plain,
    ( e21 = e22
    | ~ spl0_51
    | ~ spl0_90
    | ~ spl0_248
    | ~ spl0_81
    | ~ spl0_167 ),
    inference(forward_demodulation,[status(thm)],[f3380,f5686]) ).

fof(f5688,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_90
    | ~ spl0_248
    | ~ spl0_81
    | ~ spl0_167 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5687,f221]) ).

fof(f5689,plain,
    ( ~ spl0_51
    | ~ spl0_90
    | ~ spl0_248
    | ~ spl0_81
    | ~ spl0_167 ),
    inference(contradiction_clause,[status(thm)],[f5688]) ).

fof(f5731,plain,
    ( h1(e10) != op2(e23,h1(e13))
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_60
    | spl0_147 ),
    inference(forward_demodulation,[status(thm)],[f5426,f2930]) ).

fof(f5732,plain,
    ( h1(e10) != op2(e23,e23)
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_60
    | spl0_147 ),
    inference(forward_demodulation,[status(thm)],[f5426,f5731]) ).

fof(f5803,plain,
    ( h1(e10) != e21
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_60
    | spl0_147
    | ~ spl0_269 ),
    inference(paramodulation,[status(thm)],[f5448,f5732]) ).

fof(f5804,plain,
    ( ~ spl0_232
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_60
    | spl0_147
    | ~ spl0_269 ),
    inference(split_clause,[status(thm)],[f5803,f1738,f1157,f1758,f1077,f1441,f1886]) ).

fof(f5824,plain,
    ( h1(e11) != op2(e23,e21)
    | ~ spl0_49
    | ~ spl0_75
    | ~ spl0_237
    | spl0_144 ),
    inference(forward_demodulation,[status(thm)],[f1042,f5585]) ).

fof(f5825,plain,
    ( h1(e11) != e22
    | ~ spl0_118
    | ~ spl0_49
    | ~ spl0_75
    | ~ spl0_237
    | spl0_144 ),
    inference(forward_demodulation,[status(thm)],[f1298,f5824]) ).

fof(f5826,plain,
    ( e22 != e22
    | ~ spl0_118
    | ~ spl0_49
    | ~ spl0_75
    | ~ spl0_237
    | spl0_144 ),
    inference(forward_demodulation,[status(thm)],[f1759,f5825]) ).

fof(f5827,plain,
    ( $false
    | ~ spl0_118
    | ~ spl0_49
    | ~ spl0_75
    | ~ spl0_237
    | spl0_144 ),
    inference(trivial_equality_resolution,[status(esa)],[f5826]) ).

fof(f5828,plain,
    ( ~ spl0_118
    | ~ spl0_49
    | ~ spl0_75
    | ~ spl0_237
    | spl0_144 ),
    inference(contradiction_clause,[status(thm)],[f5827]) ).

fof(f5837,plain,
    ( h4(e10) != op2(e20,e23)
    | ~ spl0_8
    | ~ spl0_269
    | ~ spl0_222
    | spl0_203 ),
    inference(forward_demodulation,[status(thm)],[f909,f5603]) ).

fof(f5838,plain,
    ( h4(e10) != e20
    | ~ spl0_76
    | ~ spl0_8
    | ~ spl0_269
    | ~ spl0_222
    | spl0_203 ),
    inference(forward_demodulation,[status(thm)],[f1162,f5837]) ).

fof(f5839,plain,
    ( e20 != e20
    | ~ spl0_76
    | ~ spl0_8
    | ~ spl0_269
    | ~ spl0_222
    | spl0_203 ),
    inference(forward_demodulation,[status(thm)],[f5457,f5838]) ).

fof(f5840,plain,
    ( $false
    | ~ spl0_76
    | ~ spl0_8
    | ~ spl0_269
    | ~ spl0_222
    | spl0_203 ),
    inference(trivial_equality_resolution,[status(esa)],[f5839]) ).

fof(f5841,plain,
    ( ~ spl0_76
    | ~ spl0_8
    | ~ spl0_269
    | ~ spl0_222
    | spl0_203 ),
    inference(contradiction_clause,[status(thm)],[f5840]) ).

fof(f5870,plain,
    ( h4(e13) != op2(e22,e23)
    | ~ spl0_118
    | ~ spl0_269
    | ~ spl0_59
    | ~ spl0_222
    | spl0_215 ),
    inference(forward_demodulation,[status(thm)],[f5459,f2956]) ).

fof(f5871,plain,
    ( h4(e13) != e22
    | ~ spl0_110
    | ~ spl0_118
    | ~ spl0_269
    | ~ spl0_59
    | ~ spl0_222
    | spl0_215 ),
    inference(forward_demodulation,[status(thm)],[f1272,f5870]) ).

fof(f5872,plain,
    ( e22 != e22
    | ~ spl0_110
    | ~ spl0_118
    | ~ spl0_269
    | ~ spl0_59
    | ~ spl0_222
    | spl0_215 ),
    inference(forward_demodulation,[status(thm)],[f5459,f5871]) ).

fof(f5873,plain,
    ( $false
    | ~ spl0_110
    | ~ spl0_118
    | ~ spl0_269
    | ~ spl0_59
    | ~ spl0_222
    | spl0_215 ),
    inference(trivial_equality_resolution,[status(esa)],[f5872]) ).

fof(f5874,plain,
    ( ~ spl0_110
    | ~ spl0_118
    | ~ spl0_269
    | ~ spl0_59
    | ~ spl0_222
    | spl0_215 ),
    inference(contradiction_clause,[status(thm)],[f5873]) ).

fof(f5875,plain,
    ( h1(e12) != op2(e20,h1(e13))
    | ~ spl0_46
    | spl0_143 ),
    inference(forward_demodulation,[status(thm)],[f1032,f3022]) ).

fof(f5876,plain,
    ( h1(e12) != op2(e20,e23)
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_46
    | spl0_143 ),
    inference(forward_demodulation,[status(thm)],[f5426,f5875]) ).

fof(f5877,plain,
    ( h1(e12) != e20
    | ~ spl0_76
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_46
    | spl0_143 ),
    inference(forward_demodulation,[status(thm)],[f1162,f5876]) ).

fof(f5878,plain,
    ( e20 != e20
    | ~ spl0_76
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_46
    | spl0_143 ),
    inference(forward_demodulation,[status(thm)],[f274,f5877]) ).

fof(f5879,plain,
    ( $false
    | ~ spl0_76
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_46
    | spl0_143 ),
    inference(trivial_equality_resolution,[status(esa)],[f5878]) ).

fof(f5880,plain,
    ( ~ spl0_76
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_46
    | spl0_143 ),
    inference(contradiction_clause,[status(thm)],[f5879]) ).

fof(f5897,plain,
    ( h1(e13) != op2(e23,e20)
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_59
    | spl0_146 ),
    inference(forward_demodulation,[status(thm)],[f5426,f4249]) ).

fof(f5898,plain,
    ( h1(e13) != e23
    | ~ spl0_115
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_59
    | spl0_146 ),
    inference(forward_demodulation,[status(thm)],[f1288,f5897]) ).

fof(f5899,plain,
    ( e23 != e23
    | ~ spl0_115
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_59
    | spl0_146 ),
    inference(forward_demodulation,[status(thm)],[f5426,f5898]) ).

fof(f5900,plain,
    ( $false
    | ~ spl0_115
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_59
    | spl0_146 ),
    inference(trivial_equality_resolution,[status(esa)],[f5899]) ).

fof(f5901,plain,
    ( ~ spl0_115
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_59
    | spl0_146 ),
    inference(contradiction_clause,[status(thm)],[f5900]) ).

fof(f5907,plain,
    ( h1(e10) != op2(e20,e21)
    | ~ spl0_32
    | ~ spl0_237
    | spl0_140 ),
    inference(forward_demodulation,[status(thm)],[f987,f5109]) ).

fof(f5908,plain,
    ( h1(e10) != e21
    | ~ spl0_69
    | ~ spl0_32
    | ~ spl0_237
    | spl0_140 ),
    inference(forward_demodulation,[status(thm)],[f1139,f5907]) ).

fof(f5909,plain,
    ( e21 != e21
    | ~ spl0_69
    | ~ spl0_32
    | ~ spl0_237
    | spl0_140 ),
    inference(forward_demodulation,[status(thm)],[f4753,f5908]) ).

fof(f5910,plain,
    ( $false
    | ~ spl0_69
    | ~ spl0_32
    | ~ spl0_237
    | spl0_140 ),
    inference(trivial_equality_resolution,[status(esa)],[f5909]) ).

fof(f5911,plain,
    ( ~ spl0_69
    | ~ spl0_32
    | ~ spl0_237
    | spl0_140 ),
    inference(contradiction_clause,[status(thm)],[f5910]) ).

fof(f5917,plain,
    ( h1(e11) != op2(e21,h1(e11))
    | ~ spl0_237
    | ~ spl0_5
    | spl0_133 ),
    inference(forward_demodulation,[status(thm)],[f4753,f2531]) ).

fof(f5918,plain,
    ( h1(e11) != op2(e21,e22)
    | ~ spl0_237
    | ~ spl0_5
    | spl0_133 ),
    inference(forward_demodulation,[status(thm)],[f1759,f5917]) ).

fof(f5919,plain,
    ( h1(e11) != e22
    | ~ spl0_90
    | ~ spl0_237
    | ~ spl0_5
    | spl0_133 ),
    inference(forward_demodulation,[status(thm)],[f1207,f5918]) ).

fof(f5920,plain,
    ( e22 != e22
    | ~ spl0_90
    | ~ spl0_237
    | ~ spl0_5
    | spl0_133 ),
    inference(forward_demodulation,[status(thm)],[f1759,f5919]) ).

fof(f5921,plain,
    ( $false
    | ~ spl0_90
    | ~ spl0_237
    | ~ spl0_5
    | spl0_133 ),
    inference(trivial_equality_resolution,[status(esa)],[f5920]) ).

fof(f5922,plain,
    ( ~ spl0_90
    | ~ spl0_237
    | ~ spl0_5
    | spl0_133 ),
    inference(contradiction_clause,[status(thm)],[f5921]) ).

fof(f5928,plain,
    ( h1(e10) != op2(h1(e10),e20)
    | ~ spl0_8
    | spl0_134 ),
    inference(forward_demodulation,[status(thm)],[f909,f2916]) ).

fof(f5929,plain,
    ( h1(e10) != op2(e21,e20)
    | ~ spl0_237
    | ~ spl0_8
    | spl0_134 ),
    inference(forward_demodulation,[status(thm)],[f4753,f5928]) ).

fof(f5930,plain,
    ( h1(e10) != e21
    | ~ spl0_81
    | ~ spl0_237
    | ~ spl0_8
    | spl0_134 ),
    inference(forward_demodulation,[status(thm)],[f1178,f5929]) ).

fof(f5931,plain,
    ( e21 != e21
    | ~ spl0_81
    | ~ spl0_237
    | ~ spl0_8
    | spl0_134 ),
    inference(forward_demodulation,[status(thm)],[f4753,f5930]) ).

fof(f5932,plain,
    ( $false
    | ~ spl0_81
    | ~ spl0_237
    | ~ spl0_8
    | spl0_134 ),
    inference(trivial_equality_resolution,[status(esa)],[f5931]) ).

fof(f5933,plain,
    ( ~ spl0_81
    | ~ spl0_237
    | ~ spl0_8
    | spl0_134 ),
    inference(contradiction_clause,[status(thm)],[f5932]) ).

fof(f5939,plain,
    ( h1(e13) != op2(e21,h1(e13))
    | ~ spl0_237
    | ~ spl0_15
    | spl0_135 ),
    inference(forward_demodulation,[status(thm)],[f4753,f2535]) ).

fof(f5940,plain,
    ( h1(e13) != op2(e21,e23)
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_15
    | spl0_135 ),
    inference(forward_demodulation,[status(thm)],[f5426,f5939]) ).

fof(f5941,plain,
    ( h1(e13) != e23
    | ~ spl0_95
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_15
    | spl0_135 ),
    inference(forward_demodulation,[status(thm)],[f1223,f5940]) ).

fof(f5942,plain,
    ( e23 != e23
    | ~ spl0_95
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_15
    | spl0_135 ),
    inference(forward_demodulation,[status(thm)],[f5426,f5941]) ).

fof(f5943,plain,
    ( $false
    | ~ spl0_95
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_15
    | spl0_135 ),
    inference(trivial_equality_resolution,[status(esa)],[f5942]) ).

fof(f5944,plain,
    ( ~ spl0_95
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_15
    | spl0_135 ),
    inference(contradiction_clause,[status(thm)],[f5943]) ).

fof(f5948,plain,
    ( h1(e13) != op2(e22,h1(e10))
    | ~ spl0_237
    | ~ spl0_19
    | spl0_136 ),
    inference(forward_demodulation,[status(thm)],[f1759,f3119]) ).

fof(f5949,plain,
    ( h1(e13) != op2(e22,e21)
    | ~ spl0_237
    | ~ spl0_19
    | spl0_136 ),
    inference(forward_demodulation,[status(thm)],[f4753,f5948]) ).

fof(f5953,plain,
    ( h1(e13) != e23
    | ~ spl0_237
    | ~ spl0_19
    | spl0_136 ),
    inference(paramodulation,[status(thm)],[f2576,f5949]) ).

fof(f5954,plain,
    ( ~ spl0_154
    | ~ spl0_237
    | ~ spl0_19
    | spl0_136 ),
    inference(split_clause,[status(thm)],[f5953,f1465,f1758,f943,f1408]) ).

fof(f5959,plain,
    ( h1(e11) != op2(e22,h1(e13))
    | ~ spl0_237
    | ~ spl0_29
    | spl0_139 ),
    inference(forward_demodulation,[status(thm)],[f1759,f3235]) ).

fof(f5960,plain,
    ( h1(e11) != op2(e22,e23)
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_29
    | spl0_139 ),
    inference(forward_demodulation,[status(thm)],[f5426,f5959]) ).

fof(f5961,plain,
    ( h1(e11) != e22
    | ~ spl0_110
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_29
    | spl0_139 ),
    inference(forward_demodulation,[status(thm)],[f1272,f5960]) ).

fof(f5962,plain,
    ( e22 != e22
    | ~ spl0_110
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_29
    | spl0_139 ),
    inference(forward_demodulation,[status(thm)],[f1759,f5961]) ).

fof(f5963,plain,
    ( $false
    | ~ spl0_110
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_29
    | spl0_139 ),
    inference(trivial_equality_resolution,[status(esa)],[f5962]) ).

fof(f5964,plain,
    ( ~ spl0_110
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_29
    | spl0_139 ),
    inference(contradiction_clause,[status(thm)],[f5963]) ).

fof(f5973,plain,
    ( h2(e13) != e21
    | ~ spl0_248
    | ~ spl0_3
    | spl0_155 ),
    inference(paramodulation,[status(thm)],[f272,f5016]) ).

fof(f5974,plain,
    ( ~ spl0_247
    | ~ spl0_248
    | ~ spl0_3
    | spl0_155 ),
    inference(split_clause,[status(thm)],[f5973,f1798,f1802,f891,f1469]) ).

fof(f5975,plain,
    ( h4(e12) != op2(e23,e20)
    | ~ spl0_269
    | ~ spl0_34
    | ~ spl0_222
    | spl0_209 ),
    inference(forward_demodulation,[status(thm)],[f5457,f3731]) ).

fof(f5976,plain,
    ( h4(e12) != e23
    | ~ spl0_115
    | ~ spl0_269
    | ~ spl0_34
    | ~ spl0_222
    | spl0_209 ),
    inference(forward_demodulation,[status(thm)],[f1288,f5975]) ).

fof(f5977,plain,
    ( e23 != e23
    | ~ spl0_115
    | ~ spl0_269
    | ~ spl0_34
    | ~ spl0_222
    | spl0_209 ),
    inference(forward_demodulation,[status(thm)],[f1681,f5976]) ).

fof(f5978,plain,
    ( $false
    | ~ spl0_115
    | ~ spl0_269
    | ~ spl0_34
    | ~ spl0_222
    | spl0_209 ),
    inference(trivial_equality_resolution,[status(esa)],[f5977]) ).

fof(f5979,plain,
    ( ~ spl0_115
    | ~ spl0_269
    | ~ spl0_34
    | ~ spl0_222
    | spl0_209 ),
    inference(contradiction_clause,[status(thm)],[f5978]) ).

fof(f5992,plain,
    ( e22 = op2(e23,h1(e13))
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_61
    | ~ spl0_147 ),
    inference(forward_demodulation,[status(thm)],[f5426,f4783]) ).

fof(f5993,plain,
    ( e22 = op2(e23,e23)
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_61
    | ~ spl0_147 ),
    inference(forward_demodulation,[status(thm)],[f5426,f5992]) ).

fof(f5994,plain,
    ( e22 = e21
    | ~ spl0_269
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_61
    | ~ spl0_147 ),
    inference(forward_demodulation,[status(thm)],[f5448,f5993]) ).

fof(f5995,plain,
    ( $false
    | ~ spl0_269
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_61
    | ~ spl0_147 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5994,f221]) ).

fof(f5996,plain,
    ( ~ spl0_269
    | ~ spl0_75
    | ~ spl0_237
    | ~ spl0_61
    | ~ spl0_147 ),
    inference(contradiction_clause,[status(thm)],[f5995]) ).

fof(f6011,plain,
    ( h3(e13) != op2(e23,e20)
    | ~ spl0_51
    | ~ spl0_200
    | spl0_190 ),
    inference(backward_demodulation,[status(thm)],[f1048,f3186]) ).

fof(f6012,plain,
    ( h3(e13) != e23
    | ~ spl0_115
    | ~ spl0_51
    | ~ spl0_200
    | spl0_190 ),
    inference(forward_demodulation,[status(thm)],[f1288,f6011]) ).

fof(f6013,plain,
    ( e23 != e23
    | ~ spl0_115
    | ~ spl0_51
    | ~ spl0_200
    | spl0_190 ),
    inference(forward_demodulation,[status(thm)],[f1612,f6012]) ).

fof(f6014,plain,
    ( $false
    | ~ spl0_115
    | ~ spl0_51
    | ~ spl0_200
    | spl0_190 ),
    inference(trivial_equality_resolution,[status(esa)],[f6013]) ).

fof(f6015,plain,
    ( ~ spl0_115
    | ~ spl0_51
    | ~ spl0_200
    | spl0_190 ),
    inference(contradiction_clause,[status(thm)],[f6014]) ).

fof(f6061,plain,
    ( h3(e10) != op2(e23,e22)
    | ~ spl0_56
    | ~ spl0_200
    | spl0_192 ),
    inference(forward_demodulation,[status(thm)],[f1065,f2898]) ).

fof(f6062,plain,
    ( h3(e10) != e20
    | ~ spl0_120
    | ~ spl0_56
    | ~ spl0_200
    | spl0_192 ),
    inference(forward_demodulation,[status(thm)],[f1305,f6061]) ).

fof(f6063,plain,
    ( e20 != e20
    | ~ spl0_252
    | ~ spl0_120
    | ~ spl0_56
    | ~ spl0_200
    | spl0_192 ),
    inference(forward_demodulation,[status(thm)],[f1819,f6062]) ).

fof(f6064,plain,
    ( $false
    | ~ spl0_252
    | ~ spl0_120
    | ~ spl0_56
    | ~ spl0_200
    | spl0_192 ),
    inference(trivial_equality_resolution,[status(esa)],[f6063]) ).

fof(f6065,plain,
    ( ~ spl0_252
    | ~ spl0_120
    | ~ spl0_56
    | ~ spl0_200
    | spl0_192 ),
    inference(contradiction_clause,[status(thm)],[f6064]) ).

fof(f6088,plain,
    ( h4(e12) != op2(e20,h4(e13))
    | ~ spl0_269
    | ~ spl0_14
    | spl0_204 ),
    inference(forward_demodulation,[status(thm)],[f5457,f3722]) ).

fof(f6089,plain,
    ( h4(e12) != op2(e20,e22)
    | ~ spl0_118
    | ~ spl0_269
    | ~ spl0_14
    | spl0_204 ),
    inference(forward_demodulation,[status(thm)],[f5459,f6088]) ).

fof(f6090,plain,
    ( h4(e12) != e23
    | ~ spl0_75
    | ~ spl0_118
    | ~ spl0_269
    | ~ spl0_14
    | spl0_204 ),
    inference(forward_demodulation,[status(thm)],[f1158,f6089]) ).

fof(f6091,plain,
    ( e23 != e23
    | ~ spl0_222
    | ~ spl0_75
    | ~ spl0_118
    | ~ spl0_269
    | ~ spl0_14
    | spl0_204 ),
    inference(forward_demodulation,[status(thm)],[f1681,f6090]) ).

fof(f6092,plain,
    ( $false
    | ~ spl0_222
    | ~ spl0_75
    | ~ spl0_118
    | ~ spl0_269
    | ~ spl0_14
    | spl0_204 ),
    inference(trivial_equality_resolution,[status(esa)],[f6091]) ).

fof(f6093,plain,
    ( ~ spl0_222
    | ~ spl0_75
    | ~ spl0_118
    | ~ spl0_269
    | ~ spl0_14
    | spl0_204 ),
    inference(contradiction_clause,[status(thm)],[f6092]) ).

fof(f6106,plain,
    ( h4(e13) != op2(e20,h4(e10))
    | ~ spl0_269
    | ~ spl0_3
    | spl0_201 ),
    inference(forward_demodulation,[status(thm)],[f5457,f3723]) ).

fof(f6107,plain,
    ( h4(e13) != op2(e20,e20)
    | ~ spl0_269
    | ~ spl0_3
    | spl0_201 ),
    inference(forward_demodulation,[status(thm)],[f5457,f6106]) ).

fof(f6108,plain,
    ( h4(e13) != e22
    | ~ spl0_66
    | ~ spl0_269
    | ~ spl0_3
    | spl0_201 ),
    inference(forward_demodulation,[status(thm)],[f1129,f6107]) ).

fof(f6109,plain,
    ( e22 != e22
    | ~ spl0_118
    | ~ spl0_66
    | ~ spl0_269
    | ~ spl0_3
    | spl0_201 ),
    inference(forward_demodulation,[status(thm)],[f5459,f6108]) ).

fof(f6110,plain,
    ( $false
    | ~ spl0_118
    | ~ spl0_66
    | ~ spl0_269
    | ~ spl0_3
    | spl0_201 ),
    inference(trivial_equality_resolution,[status(esa)],[f6109]) ).

fof(f6111,plain,
    ( ~ spl0_118
    | ~ spl0_66
    | ~ spl0_269
    | ~ spl0_3
    | spl0_201 ),
    inference(contradiction_clause,[status(thm)],[f6110]) ).

fof(f6117,plain,
    ( h4(e10) != op2(e22,h4(e10))
    | ~ spl0_118
    | ~ spl0_269
    | ~ spl0_48
    | spl0_213 ),
    inference(forward_demodulation,[status(thm)],[f5459,f2497]) ).

fof(f6118,plain,
    ( h4(e10) != op2(e22,e20)
    | ~ spl0_118
    | ~ spl0_269
    | ~ spl0_48
    | spl0_213 ),
    inference(forward_demodulation,[status(thm)],[f5457,f6117]) ).

fof(f6119,plain,
    ( h4(e10) != e20
    | ~ spl0_96
    | ~ spl0_118
    | ~ spl0_269
    | ~ spl0_48
    | spl0_213 ),
    inference(forward_demodulation,[status(thm)],[f1227,f6118]) ).

fof(f6120,plain,
    ( e20 != e20
    | ~ spl0_96
    | ~ spl0_118
    | ~ spl0_269
    | ~ spl0_48
    | spl0_213 ),
    inference(forward_demodulation,[status(thm)],[f5457,f6119]) ).

fof(f6121,plain,
    ( $false
    | ~ spl0_96
    | ~ spl0_118
    | ~ spl0_269
    | ~ spl0_48
    | spl0_213 ),
    inference(trivial_equality_resolution,[status(esa)],[f6120]) ).

fof(f6122,plain,
    ( ~ spl0_96
    | ~ spl0_118
    | ~ spl0_269
    | ~ spl0_48
    | spl0_213 ),
    inference(contradiction_clause,[status(thm)],[f6121]) ).

fof(f6123,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f894,f907,f920,f933,f946,f959,f972,f985,f998,f1011,f1037,f1050,f1063,f1076,f1089,f1090,f1092,f1093,f1094,f1095,f1096,f1097,f1100,f1101,f1102,f1103,f1104,f1106,f1107,f1110,f1111,f1113,f1114,f1115,f1116,f1117,f1118,f1120,f1121,f1134,f1147,f1160,f1173,f1186,f1199,f1212,f1225,f1277,f1290,f1303,f1316,f1329,f1330,f1333,f1334,f1336,f1341,f1343,f1346,f1347,f1350,f1351,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1365,f1366,f1373,f1375,f1376,f1377,f1378,f1382,f1383,f1390,f1394,f1395,f1460,f1468,f1541,f1614,f1683,f1691,f1692,f1695,f1699,f1700,f1708,f1712,f1716,f1717,f1733,f1741,f1761,f1769,f1777,f1797,f1805,f1821,f1841,f1861,f1869,f1873,f1889,f1897,f1901,f1913,f1917,f1918,f1920,f1925,f1926,f1927,f1934,f1937,f1942,f1943,f1944,f1951,f1953,f1955,f1959,f1960,f1961,f1962,f1963,f1968,f1970,f1972,f1976,f1977,f1978,f1979,f1981,f1985,f1993,f1994,f1995,f1998,f2002,f2010,f2011,f2015,f2019,f2027,f2036,f2044,f2054,f2056,f2061,f2073,f2078,f2087,f2095,f2096,f2097,f2098,f2104,f2112,f2113,f2114,f2115,f2117,f2121,f2129,f2130,f2131,f2133,f2134,f2138,f2146,f2147,f2150,f2151,f2155,f2163,f2164,f2172,f2180,f2181,f2189,f2197,f2206,f2214,f2225,f2227,f2231,f2232,f2233,f2242,f2244,f2248,f2249,f2250,f2253,f2257,f2258,f2265,f2266,f2269,f2270,f2274,f2275,f2282,f2283,f2291,f2292,f2295,f2299,f2300,f2308,f2309,f2316,f2317,f2325,f2326,f2328,f2333,f2334,f2335,f2345,f2351,f2352,f2356,f2358,f2360,f2361,f2363,f2365,f2366,f2367,f2369,f2372,f2374,f2395,f2400,f2407,f2422,f2429,f2443,f2447,f2451,f2454,f2459,f2475,f2479,f2482,f2493,f2501,f2507,f2508,f2530,f2543,f2546,f2548,f2549,f2551,f2553,f2555,f2558,f2561,f2566,f2579,f2585,f2588,f2593,f2594,f2605,f2612,f2630,f2633,f2648,f2653,f2658,f2660,f2665,f2674,f2676,f2683,f2688,f2700,f2703,f2713,f2717,f2734,f2736,f2741,f2748,f2752,f2754,f2778,f2780,f2788,f2791,f2794,f2797,f2800,f2802,f2816,f2824,f2829,f2859,f2880,f2886,f2894,f2939,f2943,f2952,f2967,f2970,f2977,f2981,f2985,f2986,f2989,f2993,f2998,f3000,f3006,f3007,f3010,f3011,f3014,f3017,f3021,f3038,f3046,f3049,f3052,f3054,f3057,f3067,f3070,f3071,f3073,f3074,f3076,f3079,f3080,f3095,f3101,f3103,f3106,f3116,f3123,f3127,f3131,f3134,f3137,f3141,f3146,f3154,f3173,f3179,f3193,f3198,f3201,f3209,f3224,f3239,f3241,f3242,f3243,f3244,f3247,f3248,f3249,f3250,f3253,f3254,f3259,f3260,f3262,f3265,f3268,f3271,f3273,f3275,f3287,f3292,f3293,f3294,f3295,f3296,f3297,f3301,f3302,f3303,f3309,f3313,f3323,f3324,f3326,f3330,f3334,f3338,f3358,f3360,f3367,f3371,f3376,f3382,f3405,f3414,f3418,f3424,f3425,f3427,f3431,f3442,f3455,f3476,f3480,f3482,f3486,f3489,f3490,f3491,f3492,f3537,f3541,f3548,f3549,f3554,f3562,f3564,f3571,f3575,f3585,f3594,f3600,f3611,f3718,f3735,f3740,f3744,f3745,f3747,f3748,f3750,f3751,f3753,f3754,f3756,f3760,f3768,f3773,f3785,f3802,f3805,f3812,f3839,f3843,f3865,f3870,f3873,f3877,f3884,f3889,f3896,f3911,f3941,f3945,f3959,f3981,f3986,f3992,f3996,f4001,f4015,f4022,f4036,f4043,f4047,f4101,f4115,f4126,f4127,f4135,f4139,f4143,f4151,f4156,f4182,f4248,f4254,f4265,f4279,f4290,f4307,f4313,f4323,f4333,f4341,f4349,f4374,f4386,f4394,f4423,f4490,f4498,f4505,f4528,f4540,f4561,f4569,f4597,f4651,f4653,f4668,f4676,f4689,f4704,f4725,f4766,f4780,f4794,f4802,f4808,f4818,f4833,f4834,f4838,f4866,f4940,f4946,f4976,f4982,f4990,f5026,f5031,f5039,f5058,f5072,f5078,f5084,f5098,f5103,f5186,f5202,f5208,f5226,f5236,f5246,f5255,f5266,f5270,f5275,f5302,f5321,f5331,f5343,f5348,f5349,f5356,f5359,f5361,f5367,f5369,f5374,f5519,f5524,f5541,f5566,f5583,f5618,f5623,f5676,f5689,f5804,f5828,f5841,f5874,f5880,f5901,f5911,f5922,f5933,f5944,f5954,f5964,f5974,f5979,f5996,f6015,f6065,f6093,f6111,f6122]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : ALG128+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Apr 29 23:43:03 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.39  % Drodi V3.6.0
% 8.75/1.54  % Refutation found
% 8.75/1.54  % SZS status Theorem for theBenchmark: Theorem is valid
% 8.75/1.54  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.75/1.56  % Elapsed time: 1.209923 seconds
% 8.75/1.56  % CPU time: 9.236990 seconds
% 8.75/1.56  % Total memory used: 88.350 MB
% 8.75/1.56  % Net memory used: 86.423 MB
%------------------------------------------------------------------------------