TSTP Solution File: ALG121+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : ALG121+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n020.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 20:10:01 EDT 2024

% Result   : Theorem 0.20s 0.55s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :  145
% Syntax   : Number of formulae    :  707 ( 130 unt;   0 def)
%            Number of atoms       : 2884 (1961 equ)
%            Maximal formula atoms :  128 (   4 avg)
%            Number of connectives : 3385 (1208   ~;1380   |; 668   &)
%                                         ( 115 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  131 ( 129 usr; 130 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(e11,e11) = e11
      | op1(e12,e12) = e12
      | op1(e13,e13) = e13 )
    & ( op1(e10,e10) != e10
      | op1(e10,e10) = e10 )
    & ( op1(e10,e10) != e11
      | op1(e10,e11) = e10 )
    & ( op1(e10,e10) != e12
      | op1(e10,e12) = e10 )
    & ( op1(e10,e10) != e13
      | op1(e10,e13) = e10 )
    & ( op1(e11,e11) != e10
      | op1(e11,e10) = e11 )
    & ( op1(e11,e11) != e11
      | op1(e11,e11) = e11 )
    & ( op1(e11,e11) != e12
      | op1(e11,e12) = e11 )
    & ( op1(e11,e11) != e13
      | op1(e11,e13) = e11 )
    & ( op1(e12,e12) != e10
      | op1(e12,e10) = e12 )
    & ( op1(e12,e12) != e11
      | op1(e12,e11) = e12 )
    & ( op1(e12,e12) != e12
      | op1(e12,e12) = e12 )
    & ( op1(e12,e12) != e13
      | op1(e12,e13) = e12 )
    & ( op1(e13,e13) != e10
      | op1(e13,e10) = e13 )
    & ( op1(e13,e13) != e11
      | op1(e13,e11) = e13 )
    & ( op1(e13,e13) != e12
      | op1(e13,e12) = e13 )
    & ( op1(e13,e13) != e13
      | op1(e13,e13) = e13 )
    & ( ( op1(e10,e10) = e10
        & op1(e10,e10) = e10
        & op1(e10,e10) != e10 )
      | ( op1(e10,e11) = e10
        & op1(e11,e10) = e10
        & op1(e11,e11) != e11 )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & op1(e12,e12) != e12 )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & op1(e13,e13) != e13 )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & op1(e10,e10) != e10 )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & op1(e11,e11) != e11 )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & op1(e12,e12) != e12 )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & op1(e13,e13) != e13 )
      | ( op1(e12,e10) = e12
        & op1(e10,e12) = e12
        & op1(e10,e10) != e10 )
      | ( op1(e12,e11) = e12
        & op1(e11,e12) = e12
        & op1(e11,e11) != e11 )
      | ( op1(e12,e12) = e12
        & op1(e12,e12) = e12
        & op1(e12,e12) != e12 )
      | ( op1(e12,e13) = e12
        & op1(e13,e12) = e12
        & op1(e13,e13) != e13 )
      | ( op1(e13,e10) = e13
        & op1(e10,e13) = e13
        & op1(e10,e10) != e10 )
      | ( op1(e13,e11) = e13
        & op1(e11,e13) = e13
        & op1(e11,e11) != e11 )
      | ( op1(e13,e12) = e13
        & op1(e12,e13) = e13
        & op1(e12,e12) != e12 )
      | ( op1(e13,e13) = e13
        & op1(e13,e13) = e13
        & op1(e13,e13) != e13 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

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

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

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

fof(f17,axiom,
    ( h4(e13) = e23
    & h4(e10) = op2(e23,e23)
    & h4(e11) = op2(op2(e23,e23),op2(e23,e23))
    & h4(e12) = op2(op2(op2(e23,e23),op2(e23,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(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(f31,plain,
    ( op1(e12,e13) = e10
    | op1(e12,e13) = e11
    | op1(e12,e13) = e12
    | op1(e12,e13) = e13 ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

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

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

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

fof(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(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(f58,plain,
    ( op1(e12,e10) = e13
    | op1(e12,e11) = e13
    | op1(e12,e12) = e13
    | op1(e12,e13) = e13 ),
    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(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(f77,plain,
    ( op2(e22,e21) = e20
    | op2(e22,e21) = e21
    | op2(e22,e21) = e22
    | op2(e22,e21) = e23 ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

fof(f89,plain,
    ( op2(e20,e20) = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22
    | op2(e23,e20) = e22 ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

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

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

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

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

fof(f130,plain,
    op1(e10,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(f143,plain,
    op1(e10,e11) != op1(e10,e12),
    inference(cnf_transformation,[status(esa)],[f5]) ).

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

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

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

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

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

fof(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(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(f168,plain,
    op2(e21,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(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(f182,plain,
    op2(e20,e23) != op2(e21,e23),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f184,plain,
    op2(e20,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(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(f193,plain,
    op2(e20,e22) != op2(e20,e23),
    inference(cnf_transformation,[status(esa)],[f6]) ).

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

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

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

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

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

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

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

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

fof(f220,plain,
    e20 != 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(e10,e11) = e10
        & op1(e11,e10) = e10
        & op1(e11,e11) != e11 )
      | ( op1(e10,e12) = e10
        & op1(e12,e10) = e10
        & op1(e12,e12) != e12 )
      | ( op1(e10,e13) = e10
        & op1(e13,e10) = e10
        & op1(e13,e13) != e13 )
      | ( op1(e11,e10) = e11
        & op1(e10,e11) = e11
        & op1(e10,e10) != e10 )
      | ( op1(e11,e11) = e11
        & op1(e11,e11) = e11
        & op1(e11,e11) != e11 )
      | ( op1(e11,e12) = e11
        & op1(e12,e11) = e11
        & op1(e12,e12) != e12 )
      | ( op1(e11,e13) = e11
        & op1(e13,e11) = e11
        & op1(e13,e13) != e13 )
      | ( op1(e12,e10) = e12
        & op1(e10,e12) = e12
        & op1(e10,e10) != e10 )
      | ( op1(e12,e11) = e12
        & op1(e11,e12) = e12
        & op1(e11,e11) != e11 )
      | ( op1(e12,e12) = e12
        & op1(e12,e12) = e12
        & op1(e12,e12) != e12 )
      | ( op1(e12,e13) = e12
        & op1(e13,e12) = e12
        & op1(e13,e13) != e13 )
      | ( op1(e13,e10) = e13
        & op1(e10,e13) = e13
        & op1(e10,e10) != e10 )
      | ( op1(e13,e11) = e13
        & op1(e11,e13) = e13
        & op1(e11,e11) != e11 )
      | ( op1(e13,e12) = e13
        & op1(e12,e13) = e13
        & op1(e12,e12) != e12 ) ) ),
    introduced(predicate_definition,[f10]) ).

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

fof(f244,plain,
    ( op1(e10,e10) != e11
    | op1(e10,e11) = e10 ),
    inference(cnf_transformation,[status(esa)],[f241]) ).

fof(f245,plain,
    ( op1(e10,e10) != e12
    | op1(e10,e12) = e10 ),
    inference(cnf_transformation,[status(esa)],[f241]) ).

fof(f246,plain,
    ( op1(e10,e10) != e13
    | op1(e10,e13) = e10 ),
    inference(cnf_transformation,[status(esa)],[f241]) ).

fof(f247,plain,
    ( op1(e11,e11) != e10
    | op1(e11,e10) = e11 ),
    inference(cnf_transformation,[status(esa)],[f241]) ).

fof(f250,plain,
    ( op1(e11,e11) != e13
    | op1(e11,e13) = e11 ),
    inference(cnf_transformation,[status(esa)],[f241]) ).

fof(f254,plain,
    ( op1(e12,e12) != e13
    | op1(e12,e13) = e12 ),
    inference(cnf_transformation,[status(esa)],[f241]) ).

fof(f255,plain,
    ( op1(e13,e13) != e10
    | op1(e13,e10) = e13 ),
    inference(cnf_transformation,[status(esa)],[f241]) ).

fof(f262,plain,
    ( pd0_1
   => ( ( op2(e20,e20) = e20
        & op2(e20,e20) = e20
        & op2(e20,e20) != e20 )
      | ( op2(e20,e21) = e20
        & op2(e21,e20) = e20
        & op2(e21,e21) != e21 )
      | ( op2(e20,e22) = e20
        & op2(e22,e20) = e20
        & op2(e22,e22) != e22 )
      | ( op2(e20,e23) = e20
        & op2(e23,e20) = e20
        & op2(e23,e23) != e23 )
      | ( op2(e21,e20) = e21
        & op2(e20,e21) = e21
        & op2(e20,e20) != e20 )
      | ( op2(e21,e21) = e21
        & op2(e21,e21) = e21
        & op2(e21,e21) != e21 )
      | ( op2(e21,e22) = e21
        & op2(e22,e21) = e21
        & op2(e22,e22) != e22 )
      | ( op2(e21,e23) = e21
        & op2(e23,e21) = e21
        & op2(e23,e23) != e23 )
      | ( op2(e22,e20) = e22
        & op2(e20,e22) = e22
        & op2(e20,e20) != e20 )
      | ( op2(e22,e21) = e22
        & op2(e21,e22) = e22
        & op2(e21,e21) != e21 )
      | ( op2(e22,e22) = e22
        & op2(e22,e22) = e22
        & op2(e22,e22) != e22 )
      | ( op2(e22,e23) = e22
        & op2(e23,e22) = e22
        & op2(e23,e23) != e23 )
      | ( op2(e23,e20) = e23
        & op2(e20,e23) = e23
        & op2(e20,e20) != e20 )
      | ( op2(e23,e21) = e23
        & op2(e21,e23) = e23
        & op2(e21,e21) != e21 )
      | ( op2(e23,e22) = e23
        & op2(e22,e23) = e23
        & op2(e22,e22) != e22 ) ) ),
    introduced(predicate_definition,[f11]) ).

fof(f263,plain,
    ( ( op2(e20,e20) = e20
      | op2(e21,e21) = e21
      | op2(e22,e22) = e22
      | op2(e23,e23) = e23 )
    & ( op2(e20,e20) != e20
      | op2(e20,e20) = e20 )
    & ( op2(e20,e20) != e21
      | op2(e20,e21) = e20 )
    & ( op2(e20,e20) != e22
      | op2(e20,e22) = e20 )
    & ( op2(e20,e20) != e23
      | op2(e20,e23) = e20 )
    & ( op2(e21,e21) != e20
      | op2(e21,e20) = e21 )
    & ( op2(e21,e21) != e21
      | op2(e21,e21) = e21 )
    & ( op2(e21,e21) != e22
      | op2(e21,e22) = e21 )
    & ( op2(e21,e21) != e23
      | op2(e21,e23) = e21 )
    & ( op2(e22,e22) != e20
      | op2(e22,e20) = e22 )
    & ( op2(e22,e22) != e21
      | op2(e22,e21) = e22 )
    & ( op2(e22,e22) != e22
      | op2(e22,e22) = e22 )
    & ( op2(e22,e22) != e23
      | op2(e22,e23) = e22 )
    & ( op2(e23,e23) != e20
      | op2(e23,e20) = e23 )
    & ( op2(e23,e23) != e21
      | op2(e23,e21) = e23 )
    & ( op2(e23,e23) != e22
      | op2(e23,e22) = e23 )
    & ( op2(e23,e23) != e23
      | op2(e23,e23) = e23 )
    & ( pd0_1
      | ( op2(e23,e23) = e23
        & op2(e23,e23) = e23
        & op2(e23,e23) != e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f11,f262]) ).

fof(f264,plain,
    ( op2(e20,e20) = e20
    | op2(e21,e21) = e21
    | op2(e22,e22) = e22
    | op2(e23,e23) = e23 ),
    inference(cnf_transformation,[status(esa)],[f263]) ).

fof(f266,plain,
    ( op2(e20,e20) != e21
    | op2(e20,e21) = e20 ),
    inference(cnf_transformation,[status(esa)],[f263]) ).

fof(f267,plain,
    ( op2(e20,e20) != e22
    | op2(e20,e22) = e20 ),
    inference(cnf_transformation,[status(esa)],[f263]) ).

fof(f272,plain,
    ( op2(e21,e21) != e23
    | op2(e21,e23) = e21 ),
    inference(cnf_transformation,[status(esa)],[f263]) ).

fof(f277,plain,
    ( op2(e23,e23) != e20
    | op2(e23,e20) = e23 ),
    inference(cnf_transformation,[status(esa)],[f263]) ).

fof(f278,plain,
    ( op2(e23,e23) != e21
    | op2(e23,e21) = e23 ),
    inference(cnf_transformation,[status(esa)],[f263]) ).

fof(f284,plain,
    e10 = op1(e13,e13),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f285,plain,
    e11 = op1(op1(e13,e13),op1(e13,e13)),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f286,plain,
    e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f287,plain,
    e20 = op2(e23,e23),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f288,plain,
    e21 = op2(op2(e23,e23),op2(e23,e23)),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f289,plain,
    e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f291,plain,
    h1(e10) = op2(e20,e20),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f292,plain,
    h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f299,plain,
    h3(e10) = op2(e22,e22),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f302,plain,
    h4(e13) = e23,
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f303,plain,
    h4(e10) = op2(e23,e23),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f304,plain,
    h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f305,plain,
    h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f306,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(f307,plain,
    ( pd0_2
   => ( h1(e10) != e20
      & h1(e11) != e20
      & h1(e12) != e20
      & h1(e13) != e20 ) ),
    introduced(predicate_definition,[f306]) ).

fof(f308,plain,
    ( pd0_3
   => ( h1(e10) != e21
      & h1(e11) != e21
      & h1(e12) != e21
      & h1(e13) != e21 ) ),
    introduced(predicate_definition,[f306]) ).

fof(f309,plain,
    ( pd0_4
   => ( h1(e10) != e22
      & h1(e11) != e22
      & h1(e12) != e22
      & h1(e13) != e22 ) ),
    introduced(predicate_definition,[f306]) ).

fof(f310,plain,
    ( pd0_5
   => ( h2(e10) != e20
      & h2(e11) != e20
      & h2(e12) != e20
      & h2(e13) != e20 ) ),
    introduced(predicate_definition,[f306]) ).

fof(f311,plain,
    ( pd0_6
   => ( h2(e10) != e21
      & h2(e11) != e21
      & h2(e12) != e21
      & h2(e13) != e21 ) ),
    introduced(predicate_definition,[f306]) ).

fof(f312,plain,
    ( pd0_7
   => ( h2(e10) != e22
      & h2(e11) != e22
      & h2(e12) != e22
      & h2(e13) != e22 ) ),
    introduced(predicate_definition,[f306]) ).

fof(f313,plain,
    ( pd0_8
   => ( h3(e10) != e20
      & h3(e11) != e20
      & h3(e12) != e20
      & h3(e13) != e20 ) ),
    introduced(predicate_definition,[f306]) ).

fof(f314,plain,
    ( pd0_9
   => ( h3(e10) != e21
      & h3(e11) != e21
      & h3(e12) != e21
      & h3(e13) != e21 ) ),
    introduced(predicate_definition,[f306]) ).

fof(f315,plain,
    ( pd0_10
   => ( h3(e10) != e22
      & h3(e11) != e22
      & h3(e12) != e22
      & h3(e13) != e22 ) ),
    introduced(predicate_definition,[f306]) ).

fof(f316,plain,
    ( pd0_11
   => ( h4(e10) != e20
      & h4(e11) != e20
      & h4(e12) != e20
      & h4(e13) != e20 ) ),
    introduced(predicate_definition,[f306]) ).

fof(f317,plain,
    ( pd0_12
   => ( h4(e10) != e21
      & h4(e11) != e21
      & h4(e12) != e21
      & h4(e13) != e21 ) ),
    introduced(predicate_definition,[f306]) ).

fof(f318,plain,
    ( pd0_13
   => ( h4(e10) != e22
      & h4(e11) != e22
      & h4(e12) != e22
      & h4(e13) != e22 ) ),
    introduced(predicate_definition,[f306]) ).

fof(f319,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_2
      | pd0_3
      | pd0_4
      | ( 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_5
      | pd0_6
      | pd0_7
      | ( 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_8
      | pd0_9
      | pd0_10
      | ( 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_11
      | pd0_12
      | pd0_13
      | ( h4(e10) != e23
        & h4(e11) != e23
        & h4(e12) != e23
        & h4(e13) != e23 ) ) ),
    inference(formula_renaming,[status(thm)],[f306,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309,f308,f307]) ).

fof(f335,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_11
    | pd0_12
    | pd0_13
    | h4(e13) != e23 ),
    inference(cnf_transformation,[status(esa)],[f319]) ).

fof(f393,plain,
    ( ~ pd0_11
    | ( h4(e10) != e20
      & h4(e11) != e20
      & h4(e12) != e20
      & h4(e13) != e20 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f316]) ).

fof(f394,plain,
    ( ~ pd0_11
    | h4(e10) != e20 ),
    inference(cnf_transformation,[status(esa)],[f393]) ).

fof(f398,plain,
    ( ~ pd0_12
    | ( h4(e10) != e21
      & h4(e11) != e21
      & h4(e12) != e21
      & h4(e13) != e21 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f317]) ).

fof(f400,plain,
    ( ~ pd0_12
    | h4(e11) != e21 ),
    inference(cnf_transformation,[status(esa)],[f398]) ).

fof(f403,plain,
    ( ~ pd0_13
    | ( h4(e10) != e22
      & h4(e11) != e22
      & h4(e12) != e22
      & h4(e13) != e22 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f318]) ).

fof(f406,plain,
    ( ~ pd0_13
    | h4(e12) != e22 ),
    inference(cnf_transformation,[status(esa)],[f403]) ).

fof(f572,plain,
    ( spl0_0
  <=> op1(e10,e10) = e10 ),
    introduced(split_symbol_definition) ).

fof(f575,plain,
    ( spl0_1
  <=> op1(e10,e10) = e11 ),
    introduced(split_symbol_definition) ).

fof(f577,plain,
    ( op1(e10,e10) != e11
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f575]) ).

fof(f578,plain,
    ( spl0_2
  <=> op1(e10,e10) = e12 ),
    introduced(split_symbol_definition) ).

fof(f581,plain,
    ( spl0_3
  <=> op1(e10,e10) = e13 ),
    introduced(split_symbol_definition) ).

fof(f585,plain,
    ( spl0_4
  <=> op1(e10,e11) = e10 ),
    introduced(split_symbol_definition) ).

fof(f586,plain,
    ( op1(e10,e11) = e10
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f585]) ).

fof(f591,plain,
    ( spl0_6
  <=> op1(e10,e11) = e12 ),
    introduced(split_symbol_definition) ).

fof(f592,plain,
    ( op1(e10,e11) = e12
    | ~ spl0_6 ),
    inference(component_clause,[status(thm)],[f591]) ).

fof(f594,plain,
    ( spl0_7
  <=> op1(e10,e11) = e13 ),
    introduced(split_symbol_definition) ).

fof(f595,plain,
    ( op1(e10,e11) = e13
    | ~ spl0_7 ),
    inference(component_clause,[status(thm)],[f594]) ).

fof(f598,plain,
    ( spl0_8
  <=> op1(e10,e12) = e10 ),
    introduced(split_symbol_definition) ).

fof(f599,plain,
    ( op1(e10,e12) = e10
    | ~ spl0_8 ),
    inference(component_clause,[status(thm)],[f598]) ).

fof(f604,plain,
    ( spl0_10
  <=> op1(e10,e12) = e12 ),
    introduced(split_symbol_definition) ).

fof(f605,plain,
    ( op1(e10,e12) = e12
    | ~ spl0_10 ),
    inference(component_clause,[status(thm)],[f604]) ).

fof(f607,plain,
    ( spl0_11
  <=> op1(e10,e12) = e13 ),
    introduced(split_symbol_definition) ).

fof(f608,plain,
    ( op1(e10,e12) = e13
    | ~ spl0_11 ),
    inference(component_clause,[status(thm)],[f607]) ).

fof(f611,plain,
    ( spl0_12
  <=> op1(e10,e13) = e10 ),
    introduced(split_symbol_definition) ).

fof(f612,plain,
    ( op1(e10,e13) = e10
    | ~ spl0_12 ),
    inference(component_clause,[status(thm)],[f611]) ).

fof(f617,plain,
    ( spl0_14
  <=> op1(e10,e13) = e12 ),
    introduced(split_symbol_definition) ).

fof(f618,plain,
    ( op1(e10,e13) = e12
    | ~ spl0_14 ),
    inference(component_clause,[status(thm)],[f617]) ).

fof(f620,plain,
    ( spl0_15
  <=> op1(e10,e13) = e13 ),
    introduced(split_symbol_definition) ).

fof(f621,plain,
    ( op1(e10,e13) = e13
    | ~ spl0_15 ),
    inference(component_clause,[status(thm)],[f620]) ).

fof(f624,plain,
    ( spl0_16
  <=> op1(e11,e10) = e10 ),
    introduced(split_symbol_definition) ).

fof(f625,plain,
    ( op1(e11,e10) = e10
    | ~ spl0_16 ),
    inference(component_clause,[status(thm)],[f624]) ).

fof(f627,plain,
    ( spl0_17
  <=> op1(e11,e10) = e11 ),
    introduced(split_symbol_definition) ).

fof(f628,plain,
    ( op1(e11,e10) = e11
    | ~ spl0_17 ),
    inference(component_clause,[status(thm)],[f627]) ).

fof(f630,plain,
    ( spl0_18
  <=> op1(e11,e10) = e12 ),
    introduced(split_symbol_definition) ).

fof(f631,plain,
    ( op1(e11,e10) = e12
    | ~ spl0_18 ),
    inference(component_clause,[status(thm)],[f630]) ).

fof(f637,plain,
    ( spl0_20
  <=> op1(e11,e11) = e10 ),
    introduced(split_symbol_definition) ).

fof(f640,plain,
    ( spl0_21
  <=> op1(e11,e11) = e11 ),
    introduced(split_symbol_definition) ).

fof(f641,plain,
    ( op1(e11,e11) = e11
    | ~ spl0_21 ),
    inference(component_clause,[status(thm)],[f640]) ).

fof(f643,plain,
    ( spl0_22
  <=> op1(e11,e11) = e12 ),
    introduced(split_symbol_definition) ).

fof(f644,plain,
    ( op1(e11,e11) = e12
    | ~ spl0_22 ),
    inference(component_clause,[status(thm)],[f643]) ).

fof(f646,plain,
    ( spl0_23
  <=> op1(e11,e11) = e13 ),
    introduced(split_symbol_definition) ).

fof(f649,plain,
    ( spl0_20
    | spl0_21
    | spl0_22
    | spl0_23 ),
    inference(split_clause,[status(thm)],[f25,f637,f640,f643,f646]) ).

fof(f650,plain,
    ( spl0_24
  <=> op1(e11,e12) = e10 ),
    introduced(split_symbol_definition) ).

fof(f651,plain,
    ( op1(e11,e12) = e10
    | ~ spl0_24 ),
    inference(component_clause,[status(thm)],[f650]) ).

fof(f653,plain,
    ( spl0_25
  <=> op1(e11,e12) = e11 ),
    introduced(split_symbol_definition) ).

fof(f654,plain,
    ( op1(e11,e12) = e11
    | ~ spl0_25 ),
    inference(component_clause,[status(thm)],[f653]) ).

fof(f656,plain,
    ( spl0_26
  <=> op1(e11,e12) = e12 ),
    introduced(split_symbol_definition) ).

fof(f657,plain,
    ( op1(e11,e12) = e12
    | ~ spl0_26 ),
    inference(component_clause,[status(thm)],[f656]) ).

fof(f659,plain,
    ( spl0_27
  <=> op1(e11,e12) = e13 ),
    introduced(split_symbol_definition) ).

fof(f660,plain,
    ( op1(e11,e12) = e13
    | ~ spl0_27 ),
    inference(component_clause,[status(thm)],[f659]) ).

fof(f662,plain,
    ( spl0_24
    | spl0_25
    | spl0_26
    | spl0_27 ),
    inference(split_clause,[status(thm)],[f26,f650,f653,f656,f659]) ).

fof(f663,plain,
    ( spl0_28
  <=> op1(e11,e13) = e10 ),
    introduced(split_symbol_definition) ).

fof(f664,plain,
    ( op1(e11,e13) = e10
    | ~ spl0_28 ),
    inference(component_clause,[status(thm)],[f663]) ).

fof(f666,plain,
    ( spl0_29
  <=> op1(e11,e13) = e11 ),
    introduced(split_symbol_definition) ).

fof(f676,plain,
    ( spl0_32
  <=> op1(e12,e10) = e10 ),
    introduced(split_symbol_definition) ).

fof(f677,plain,
    ( op1(e12,e10) = e10
    | ~ spl0_32 ),
    inference(component_clause,[status(thm)],[f676]) ).

fof(f682,plain,
    ( spl0_34
  <=> op1(e12,e10) = e12 ),
    introduced(split_symbol_definition) ).

fof(f683,plain,
    ( op1(e12,e10) = e12
    | ~ spl0_34 ),
    inference(component_clause,[status(thm)],[f682]) ).

fof(f685,plain,
    ( spl0_35
  <=> op1(e12,e10) = e13 ),
    introduced(split_symbol_definition) ).

fof(f686,plain,
    ( op1(e12,e10) = e13
    | ~ spl0_35 ),
    inference(component_clause,[status(thm)],[f685]) ).

fof(f698,plain,
    ( spl0_39
  <=> op1(e12,e11) = e13 ),
    introduced(split_symbol_definition) ).

fof(f699,plain,
    ( op1(e12,e11) = e13
    | ~ spl0_39 ),
    inference(component_clause,[status(thm)],[f698]) ).

fof(f702,plain,
    ( spl0_40
  <=> op1(e12,e12) = e10 ),
    introduced(split_symbol_definition) ).

fof(f703,plain,
    ( op1(e12,e12) = e10
    | ~ spl0_40 ),
    inference(component_clause,[status(thm)],[f702]) ).

fof(f711,plain,
    ( spl0_43
  <=> op1(e12,e12) = e13 ),
    introduced(split_symbol_definition) ).

fof(f715,plain,
    ( spl0_44
  <=> op1(e12,e13) = e10 ),
    introduced(split_symbol_definition) ).

fof(f716,plain,
    ( op1(e12,e13) = e10
    | ~ spl0_44 ),
    inference(component_clause,[status(thm)],[f715]) ).

fof(f718,plain,
    ( spl0_45
  <=> op1(e12,e13) = e11 ),
    introduced(split_symbol_definition) ).

fof(f719,plain,
    ( op1(e12,e13) = e11
    | ~ spl0_45 ),
    inference(component_clause,[status(thm)],[f718]) ).

fof(f721,plain,
    ( spl0_46
  <=> op1(e12,e13) = e12 ),
    introduced(split_symbol_definition) ).

fof(f722,plain,
    ( op1(e12,e13) = e12
    | ~ spl0_46 ),
    inference(component_clause,[status(thm)],[f721]) ).

fof(f724,plain,
    ( spl0_47
  <=> op1(e12,e13) = e13 ),
    introduced(split_symbol_definition) ).

fof(f725,plain,
    ( op1(e12,e13) = e13
    | ~ spl0_47 ),
    inference(component_clause,[status(thm)],[f724]) ).

fof(f727,plain,
    ( spl0_44
    | spl0_45
    | spl0_46
    | spl0_47 ),
    inference(split_clause,[status(thm)],[f31,f715,f718,f721,f724]) ).

fof(f728,plain,
    ( spl0_48
  <=> op1(e13,e10) = e10 ),
    introduced(split_symbol_definition) ).

fof(f729,plain,
    ( op1(e13,e10) = e10
    | ~ spl0_48 ),
    inference(component_clause,[status(thm)],[f728]) ).

fof(f734,plain,
    ( spl0_50
  <=> op1(e13,e10) = e12 ),
    introduced(split_symbol_definition) ).

fof(f735,plain,
    ( op1(e13,e10) = e12
    | ~ spl0_50 ),
    inference(component_clause,[status(thm)],[f734]) ).

fof(f737,plain,
    ( spl0_51
  <=> op1(e13,e10) = e13 ),
    introduced(split_symbol_definition) ).

fof(f738,plain,
    ( op1(e13,e10) = e13
    | ~ spl0_51 ),
    inference(component_clause,[status(thm)],[f737]) ).

fof(f741,plain,
    ( spl0_52
  <=> op1(e13,e11) = e10 ),
    introduced(split_symbol_definition) ).

fof(f742,plain,
    ( op1(e13,e11) = e10
    | ~ spl0_52 ),
    inference(component_clause,[status(thm)],[f741]) ).

fof(f744,plain,
    ( spl0_53
  <=> op1(e13,e11) = e11 ),
    introduced(split_symbol_definition) ).

fof(f745,plain,
    ( op1(e13,e11) = e11
    | ~ spl0_53 ),
    inference(component_clause,[status(thm)],[f744]) ).

fof(f747,plain,
    ( spl0_54
  <=> op1(e13,e11) = e12 ),
    introduced(split_symbol_definition) ).

fof(f748,plain,
    ( op1(e13,e11) = e12
    | ~ spl0_54 ),
    inference(component_clause,[status(thm)],[f747]) ).

fof(f750,plain,
    ( spl0_55
  <=> op1(e13,e11) = e13 ),
    introduced(split_symbol_definition) ).

fof(f751,plain,
    ( op1(e13,e11) = e13
    | ~ spl0_55 ),
    inference(component_clause,[status(thm)],[f750]) ).

fof(f753,plain,
    ( spl0_52
    | spl0_53
    | spl0_54
    | spl0_55 ),
    inference(split_clause,[status(thm)],[f33,f741,f744,f747,f750]) ).

fof(f754,plain,
    ( spl0_56
  <=> op1(e13,e12) = e10 ),
    introduced(split_symbol_definition) ).

fof(f755,plain,
    ( op1(e13,e12) = e10
    | ~ spl0_56 ),
    inference(component_clause,[status(thm)],[f754]) ).

fof(f757,plain,
    ( spl0_57
  <=> op1(e13,e12) = e11 ),
    introduced(split_symbol_definition) ).

fof(f758,plain,
    ( op1(e13,e12) = e11
    | ~ spl0_57 ),
    inference(component_clause,[status(thm)],[f757]) ).

fof(f760,plain,
    ( spl0_58
  <=> op1(e13,e12) = e12 ),
    introduced(split_symbol_definition) ).

fof(f761,plain,
    ( op1(e13,e12) = e12
    | ~ spl0_58 ),
    inference(component_clause,[status(thm)],[f760]) ).

fof(f763,plain,
    ( spl0_59
  <=> op1(e13,e12) = e13 ),
    introduced(split_symbol_definition) ).

fof(f764,plain,
    ( op1(e13,e12) = e13
    | ~ spl0_59 ),
    inference(component_clause,[status(thm)],[f763]) ).

fof(f766,plain,
    ( spl0_56
    | spl0_57
    | spl0_58
    | spl0_59 ),
    inference(split_clause,[status(thm)],[f34,f754,f757,f760,f763]) ).

fof(f767,plain,
    ( spl0_60
  <=> op1(e13,e13) = e10 ),
    introduced(split_symbol_definition) ).

fof(f781,plain,
    ( spl0_0
    | spl0_16
    | spl0_32
    | spl0_48 ),
    inference(split_clause,[status(thm)],[f37,f572,f624,f676,f728]) ).

fof(f784,plain,
    ( spl0_2
    | spl0_6
    | spl0_10
    | spl0_14 ),
    inference(split_clause,[status(thm)],[f40,f578,f591,f604,f617]) ).

fof(f785,plain,
    ( spl0_2
    | spl0_18
    | spl0_34
    | spl0_50 ),
    inference(split_clause,[status(thm)],[f41,f578,f630,f682,f734]) ).

fof(f786,plain,
    ( spl0_3
    | spl0_7
    | spl0_11
    | spl0_15 ),
    inference(split_clause,[status(thm)],[f42,f581,f594,f607,f620]) ).

fof(f797,plain,
    ( spl0_8
    | spl0_24
    | spl0_40
    | spl0_56 ),
    inference(split_clause,[status(thm)],[f53,f598,f650,f702,f754]) ).

fof(f802,plain,
    ( spl0_35
    | spl0_39
    | spl0_43
    | spl0_47 ),
    inference(split_clause,[status(thm)],[f58,f685,f698,f711,f724]) ).

fof(f805,plain,
    ( spl0_12
    | spl0_28
    | spl0_44
    | spl0_60 ),
    inference(split_clause,[status(thm)],[f61,f611,f663,f715,f767]) ).

fof(f812,plain,
    ( spl0_64
  <=> op2(e20,e20) = e20 ),
    introduced(split_symbol_definition) ).

fof(f815,plain,
    ( spl0_65
  <=> op2(e20,e20) = e21 ),
    introduced(split_symbol_definition) ).

fof(f817,plain,
    ( op2(e20,e20) != e21
    | spl0_65 ),
    inference(component_clause,[status(thm)],[f815]) ).

fof(f818,plain,
    ( spl0_66
  <=> op2(e20,e20) = e22 ),
    introduced(split_symbol_definition) ).

fof(f825,plain,
    ( spl0_68
  <=> op2(e20,e21) = e20 ),
    introduced(split_symbol_definition) ).

fof(f826,plain,
    ( op2(e20,e21) = e20
    | ~ spl0_68 ),
    inference(component_clause,[status(thm)],[f825]) ).

fof(f838,plain,
    ( spl0_72
  <=> op2(e20,e22) = e20 ),
    introduced(split_symbol_definition) ).

fof(f839,plain,
    ( op2(e20,e22) = e20
    | ~ spl0_72 ),
    inference(component_clause,[status(thm)],[f838]) ).

fof(f844,plain,
    ( spl0_74
  <=> op2(e20,e22) = e22 ),
    introduced(split_symbol_definition) ).

fof(f845,plain,
    ( op2(e20,e22) = e22
    | ~ spl0_74 ),
    inference(component_clause,[status(thm)],[f844]) ).

fof(f851,plain,
    ( spl0_76
  <=> op2(e20,e23) = e20 ),
    introduced(split_symbol_definition) ).

fof(f852,plain,
    ( op2(e20,e23) = e20
    | ~ spl0_76 ),
    inference(component_clause,[status(thm)],[f851]) ).

fof(f854,plain,
    ( spl0_77
  <=> op2(e20,e23) = e21 ),
    introduced(split_symbol_definition) ).

fof(f855,plain,
    ( op2(e20,e23) = e21
    | ~ spl0_77 ),
    inference(component_clause,[status(thm)],[f854]) ).

fof(f857,plain,
    ( spl0_78
  <=> op2(e20,e23) = e22 ),
    introduced(split_symbol_definition) ).

fof(f858,plain,
    ( op2(e20,e23) = e22
    | ~ spl0_78 ),
    inference(component_clause,[status(thm)],[f857]) ).

fof(f860,plain,
    ( spl0_79
  <=> op2(e20,e23) = e23 ),
    introduced(split_symbol_definition) ).

fof(f861,plain,
    ( op2(e20,e23) = e23
    | ~ spl0_79 ),
    inference(component_clause,[status(thm)],[f860]) ).

fof(f863,plain,
    ( spl0_76
    | spl0_77
    | spl0_78
    | spl0_79 ),
    inference(split_clause,[status(thm)],[f71,f851,f854,f857,f860]) ).

fof(f864,plain,
    ( spl0_80
  <=> op2(e21,e20) = e20 ),
    introduced(split_symbol_definition) ).

fof(f865,plain,
    ( op2(e21,e20) = e20
    | ~ spl0_80 ),
    inference(component_clause,[status(thm)],[f864]) ).

fof(f870,plain,
    ( spl0_82
  <=> op2(e21,e20) = e22 ),
    introduced(split_symbol_definition) ).

fof(f871,plain,
    ( op2(e21,e20) = e22
    | ~ spl0_82 ),
    inference(component_clause,[status(thm)],[f870]) ).

fof(f873,plain,
    ( spl0_83
  <=> op2(e21,e20) = e23 ),
    introduced(split_symbol_definition) ).

fof(f874,plain,
    ( op2(e21,e20) = e23
    | ~ spl0_83 ),
    inference(component_clause,[status(thm)],[f873]) ).

fof(f880,plain,
    ( spl0_85
  <=> op2(e21,e21) = e21 ),
    introduced(split_symbol_definition) ).

fof(f881,plain,
    ( op2(e21,e21) = e21
    | ~ spl0_85 ),
    inference(component_clause,[status(thm)],[f880]) ).

fof(f886,plain,
    ( spl0_87
  <=> op2(e21,e21) = e23 ),
    introduced(split_symbol_definition) ).

fof(f896,plain,
    ( spl0_90
  <=> op2(e21,e22) = e22 ),
    introduced(split_symbol_definition) ).

fof(f897,plain,
    ( op2(e21,e22) = e22
    | ~ spl0_90 ),
    inference(component_clause,[status(thm)],[f896]) ).

fof(f899,plain,
    ( spl0_91
  <=> op2(e21,e22) = e23 ),
    introduced(split_symbol_definition) ).

fof(f900,plain,
    ( op2(e21,e22) = e23
    | ~ spl0_91 ),
    inference(component_clause,[status(thm)],[f899]) ).

fof(f906,plain,
    ( spl0_93
  <=> op2(e21,e23) = e21 ),
    introduced(split_symbol_definition) ).

fof(f907,plain,
    ( op2(e21,e23) = e21
    | ~ spl0_93 ),
    inference(component_clause,[status(thm)],[f906]) ).

fof(f912,plain,
    ( spl0_95
  <=> op2(e21,e23) = e23 ),
    introduced(split_symbol_definition) ).

fof(f913,plain,
    ( op2(e21,e23) = e23
    | ~ spl0_95 ),
    inference(component_clause,[status(thm)],[f912]) ).

fof(f916,plain,
    ( spl0_96
  <=> op2(e22,e20) = e20 ),
    introduced(split_symbol_definition) ).

fof(f917,plain,
    ( op2(e22,e20) = e20
    | ~ spl0_96 ),
    inference(component_clause,[status(thm)],[f916]) ).

fof(f922,plain,
    ( spl0_98
  <=> op2(e22,e20) = e22 ),
    introduced(split_symbol_definition) ).

fof(f923,plain,
    ( op2(e22,e20) = e22
    | ~ spl0_98 ),
    inference(component_clause,[status(thm)],[f922]) ).

fof(f929,plain,
    ( spl0_100
  <=> op2(e22,e21) = e20 ),
    introduced(split_symbol_definition) ).

fof(f930,plain,
    ( op2(e22,e21) = e20
    | ~ spl0_100 ),
    inference(component_clause,[status(thm)],[f929]) ).

fof(f932,plain,
    ( spl0_101
  <=> op2(e22,e21) = e21 ),
    introduced(split_symbol_definition) ).

fof(f933,plain,
    ( op2(e22,e21) = e21
    | ~ spl0_101 ),
    inference(component_clause,[status(thm)],[f932]) ).

fof(f935,plain,
    ( spl0_102
  <=> op2(e22,e21) = e22 ),
    introduced(split_symbol_definition) ).

fof(f936,plain,
    ( op2(e22,e21) = e22
    | ~ spl0_102 ),
    inference(component_clause,[status(thm)],[f935]) ).

fof(f938,plain,
    ( spl0_103
  <=> op2(e22,e21) = e23 ),
    introduced(split_symbol_definition) ).

fof(f939,plain,
    ( op2(e22,e21) = e23
    | ~ spl0_103 ),
    inference(component_clause,[status(thm)],[f938]) ).

fof(f941,plain,
    ( spl0_100
    | spl0_101
    | spl0_102
    | spl0_103 ),
    inference(split_clause,[status(thm)],[f77,f929,f932,f935,f938]) ).

fof(f942,plain,
    ( spl0_104
  <=> op2(e22,e22) = e20 ),
    introduced(split_symbol_definition) ).

fof(f943,plain,
    ( op2(e22,e22) = e20
    | ~ spl0_104 ),
    inference(component_clause,[status(thm)],[f942]) ).

fof(f948,plain,
    ( spl0_106
  <=> op2(e22,e22) = e22 ),
    introduced(split_symbol_definition) ).

fof(f949,plain,
    ( op2(e22,e22) = e22
    | ~ spl0_106 ),
    inference(component_clause,[status(thm)],[f948]) ).

fof(f955,plain,
    ( spl0_108
  <=> op2(e22,e23) = e20 ),
    introduced(split_symbol_definition) ).

fof(f956,plain,
    ( op2(e22,e23) = e20
    | ~ spl0_108 ),
    inference(component_clause,[status(thm)],[f955]) ).

fof(f958,plain,
    ( spl0_109
  <=> op2(e22,e23) = e21 ),
    introduced(split_symbol_definition) ).

fof(f959,plain,
    ( op2(e22,e23) = e21
    | ~ spl0_109 ),
    inference(component_clause,[status(thm)],[f958]) ).

fof(f968,plain,
    ( spl0_112
  <=> op2(e23,e20) = e20 ),
    introduced(split_symbol_definition) ).

fof(f969,plain,
    ( op2(e23,e20) = e20
    | ~ spl0_112 ),
    inference(component_clause,[status(thm)],[f968]) ).

fof(f974,plain,
    ( spl0_114
  <=> op2(e23,e20) = e22 ),
    introduced(split_symbol_definition) ).

fof(f975,plain,
    ( op2(e23,e20) = e22
    | ~ spl0_114 ),
    inference(component_clause,[status(thm)],[f974]) ).

fof(f977,plain,
    ( spl0_115
  <=> op2(e23,e20) = e23 ),
    introduced(split_symbol_definition) ).

fof(f978,plain,
    ( op2(e23,e20) = e23
    | ~ spl0_115 ),
    inference(component_clause,[status(thm)],[f977]) ).

fof(f981,plain,
    ( spl0_116
  <=> op2(e23,e21) = e20 ),
    introduced(split_symbol_definition) ).

fof(f982,plain,
    ( op2(e23,e21) = e20
    | ~ spl0_116 ),
    inference(component_clause,[status(thm)],[f981]) ).

fof(f984,plain,
    ( spl0_117
  <=> op2(e23,e21) = e21 ),
    introduced(split_symbol_definition) ).

fof(f985,plain,
    ( op2(e23,e21) = e21
    | ~ spl0_117 ),
    inference(component_clause,[status(thm)],[f984]) ).

fof(f987,plain,
    ( spl0_118
  <=> op2(e23,e21) = e22 ),
    introduced(split_symbol_definition) ).

fof(f988,plain,
    ( op2(e23,e21) = e22
    | ~ spl0_118 ),
    inference(component_clause,[status(thm)],[f987]) ).

fof(f990,plain,
    ( spl0_119
  <=> op2(e23,e21) = e23 ),
    introduced(split_symbol_definition) ).

fof(f991,plain,
    ( op2(e23,e21) = e23
    | ~ spl0_119 ),
    inference(component_clause,[status(thm)],[f990]) ).

fof(f993,plain,
    ( spl0_116
    | spl0_117
    | spl0_118
    | spl0_119 ),
    inference(split_clause,[status(thm)],[f81,f981,f984,f987,f990]) ).

fof(f994,plain,
    ( spl0_120
  <=> op2(e23,e22) = e20 ),
    introduced(split_symbol_definition) ).

fof(f995,plain,
    ( op2(e23,e22) = e20
    | ~ spl0_120 ),
    inference(component_clause,[status(thm)],[f994]) ).

fof(f997,plain,
    ( spl0_121
  <=> op2(e23,e22) = e21 ),
    introduced(split_symbol_definition) ).

fof(f998,plain,
    ( op2(e23,e22) = e21
    | ~ spl0_121 ),
    inference(component_clause,[status(thm)],[f997]) ).

fof(f1000,plain,
    ( spl0_122
  <=> op2(e23,e22) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1001,plain,
    ( op2(e23,e22) = e22
    | ~ spl0_122 ),
    inference(component_clause,[status(thm)],[f1000]) ).

fof(f1003,plain,
    ( spl0_123
  <=> op2(e23,e22) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1004,plain,
    ( op2(e23,e22) = e23
    | ~ spl0_123 ),
    inference(component_clause,[status(thm)],[f1003]) ).

fof(f1006,plain,
    ( spl0_120
    | spl0_121
    | spl0_122
    | spl0_123 ),
    inference(split_clause,[status(thm)],[f82,f994,f997,f1000,f1003]) ).

fof(f1007,plain,
    ( spl0_124
  <=> op2(e23,e23) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1009,plain,
    ( op2(e23,e23) != e20
    | spl0_124 ),
    inference(component_clause,[status(thm)],[f1007]) ).

fof(f1010,plain,
    ( spl0_125
  <=> op2(e23,e23) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1016,plain,
    ( spl0_127
  <=> op2(e23,e23) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1017,plain,
    ( op2(e23,e23) = e23
    | ~ spl0_127 ),
    inference(component_clause,[status(thm)],[f1016]) ).

fof(f1021,plain,
    ( spl0_64
    | spl0_80
    | spl0_96
    | spl0_112 ),
    inference(split_clause,[status(thm)],[f85,f812,f864,f916,f968]) ).

fof(f1025,plain,
    ( spl0_66
    | spl0_82
    | spl0_98
    | spl0_114 ),
    inference(split_clause,[status(thm)],[f89,f818,f870,f922,f974]) ).

fof(f1034,plain,
    ( spl0_83
    | spl0_87
    | spl0_91
    | spl0_95 ),
    inference(split_clause,[status(thm)],[f98,f873,f886,f899,f912]) ).

fof(f1036,plain,
    ( spl0_96
    | spl0_100
    | spl0_104
    | spl0_108 ),
    inference(split_clause,[status(thm)],[f100,f916,f929,f942,f955]) ).

fof(f1041,plain,
    ( spl0_74
    | spl0_90
    | spl0_106
    | spl0_122 ),
    inference(split_clause,[status(thm)],[f105,f844,f896,f948,f1000]) ).

fof(f1047,plain,
    ( spl0_77
    | spl0_93
    | spl0_109
    | spl0_125 ),
    inference(split_clause,[status(thm)],[f111,f854,f906,f958,f1010]) ).

fof(f1054,plain,
    ( ~ spl0_1
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f244,f575,f585]) ).

fof(f1055,plain,
    ( ~ spl0_2
    | spl0_8 ),
    inference(split_clause,[status(thm)],[f245,f578,f598]) ).

fof(f1056,plain,
    ( ~ spl0_3
    | spl0_12 ),
    inference(split_clause,[status(thm)],[f246,f581,f611]) ).

fof(f1057,plain,
    ( ~ spl0_20
    | spl0_17 ),
    inference(split_clause,[status(thm)],[f247,f637,f627]) ).

fof(f1060,plain,
    ( ~ spl0_23
    | spl0_29 ),
    inference(split_clause,[status(thm)],[f250,f646,f666]) ).

fof(f1064,plain,
    ( ~ spl0_43
    | spl0_46 ),
    inference(split_clause,[status(thm)],[f254,f711,f721]) ).

fof(f1065,plain,
    ( ~ spl0_60
    | spl0_51 ),
    inference(split_clause,[status(thm)],[f255,f767,f737]) ).

fof(f1075,plain,
    ( spl0_64
    | spl0_85
    | spl0_106
    | spl0_127 ),
    inference(split_clause,[status(thm)],[f264,f812,f880,f948,f1016]) ).

fof(f1077,plain,
    ( ~ spl0_65
    | spl0_68 ),
    inference(split_clause,[status(thm)],[f266,f815,f825]) ).

fof(f1078,plain,
    ( ~ spl0_66
    | spl0_72 ),
    inference(split_clause,[status(thm)],[f267,f818,f838]) ).

fof(f1083,plain,
    ( ~ spl0_87
    | spl0_93 ),
    inference(split_clause,[status(thm)],[f272,f886,f906]) ).

fof(f1088,plain,
    ( ~ spl0_124
    | spl0_115 ),
    inference(split_clause,[status(thm)],[f277,f1007,f977]) ).

fof(f1089,plain,
    ( ~ spl0_125
    | spl0_119 ),
    inference(split_clause,[status(thm)],[f278,f1010,f990]) ).

fof(f1317,plain,
    ( spl0_199
  <=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1319,plain,
    ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | spl0_199 ),
    inference(component_clause,[status(thm)],[f1317]) ).

fof(f1320,plain,
    ( spl0_200
  <=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1322,plain,
    ( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
    | spl0_200 ),
    inference(component_clause,[status(thm)],[f1320]) ).

fof(f1323,plain,
    ( spl0_201
  <=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1324,plain,
    ( h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
    | ~ spl0_201 ),
    inference(component_clause,[status(thm)],[f1323]) ).

fof(f1325,plain,
    ( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | spl0_201 ),
    inference(component_clause,[status(thm)],[f1323]) ).

fof(f1326,plain,
    ( spl0_202
  <=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1328,plain,
    ( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | spl0_202 ),
    inference(component_clause,[status(thm)],[f1326]) ).

fof(f1329,plain,
    ( spl0_203
  <=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1331,plain,
    ( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
    | spl0_203 ),
    inference(component_clause,[status(thm)],[f1329]) ).

fof(f1332,plain,
    ( spl0_204
  <=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1334,plain,
    ( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | spl0_204 ),
    inference(component_clause,[status(thm)],[f1332]) ).

fof(f1335,plain,
    ( spl0_205
  <=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1337,plain,
    ( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
    | spl0_205 ),
    inference(component_clause,[status(thm)],[f1335]) ).

fof(f1338,plain,
    ( spl0_206
  <=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1340,plain,
    ( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
    | spl0_206 ),
    inference(component_clause,[status(thm)],[f1338]) ).

fof(f1341,plain,
    ( spl0_207
  <=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1342,plain,
    ( h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
    | ~ spl0_207 ),
    inference(component_clause,[status(thm)],[f1341]) ).

fof(f1343,plain,
    ( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | spl0_207 ),
    inference(component_clause,[status(thm)],[f1341]) ).

fof(f1344,plain,
    ( spl0_208
  <=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1346,plain,
    ( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
    | spl0_208 ),
    inference(component_clause,[status(thm)],[f1344]) ).

fof(f1347,plain,
    ( spl0_209
  <=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1349,plain,
    ( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
    | spl0_209 ),
    inference(component_clause,[status(thm)],[f1347]) ).

fof(f1350,plain,
    ( spl0_210
  <=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1352,plain,
    ( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
    | spl0_210 ),
    inference(component_clause,[status(thm)],[f1350]) ).

fof(f1353,plain,
    ( spl0_211
  <=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
    introduced(split_symbol_definition) ).

fof(f1354,plain,
    ( h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
    | ~ spl0_211 ),
    inference(component_clause,[status(thm)],[f1353]) ).

fof(f1355,plain,
    ( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    | spl0_211 ),
    inference(component_clause,[status(thm)],[f1353]) ).

fof(f1356,plain,
    ( spl0_212
  <=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
    introduced(split_symbol_definition) ).

fof(f1358,plain,
    ( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
    | spl0_212 ),
    inference(component_clause,[status(thm)],[f1356]) ).

fof(f1359,plain,
    ( spl0_213
  <=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
    introduced(split_symbol_definition) ).

fof(f1361,plain,
    ( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
    | spl0_213 ),
    inference(component_clause,[status(thm)],[f1359]) ).

fof(f1362,plain,
    ( spl0_214
  <=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
    introduced(split_symbol_definition) ).

fof(f1364,plain,
    ( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
    | spl0_214 ),
    inference(component_clause,[status(thm)],[f1362]) ).

fof(f1365,plain,
    ( spl0_215
  <=> pd0_11 ),
    introduced(split_symbol_definition) ).

fof(f1368,plain,
    ( spl0_216
  <=> pd0_12 ),
    introduced(split_symbol_definition) ).

fof(f1371,plain,
    ( spl0_217
  <=> pd0_13 ),
    introduced(split_symbol_definition) ).

fof(f1386,plain,
    ( spl0_221
  <=> h4(e13) = e23 ),
    introduced(split_symbol_definition) ).

fof(f1388,plain,
    ( h4(e13) != e23
    | spl0_221 ),
    inference(component_clause,[status(thm)],[f1386]) ).

fof(f1389,plain,
    ( ~ spl0_199
    | ~ spl0_200
    | ~ 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_221 ),
    inference(split_clause,[status(thm)],[f335,f1317,f1320,f1323,f1326,f1329,f1332,f1335,f1338,f1341,f1344,f1347,f1350,f1353,f1356,f1359,f1362,f1365,f1368,f1371,f1386]) ).

fof(f1498,plain,
    ( spl0_248
  <=> h3(e10) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1500,plain,
    ( h3(e10) != e20
    | spl0_248 ),
    inference(component_clause,[status(thm)],[f1498]) ).

fof(f1546,plain,
    ( spl0_260
  <=> h4(e10) = e20 ),
    introduced(split_symbol_definition) ).

fof(f1548,plain,
    ( h4(e10) != e20
    | spl0_260 ),
    inference(component_clause,[status(thm)],[f1546]) ).

fof(f1549,plain,
    ( ~ spl0_215
    | ~ spl0_260 ),
    inference(split_clause,[status(thm)],[f394,f1365,f1546]) ).

fof(f1566,plain,
    ( spl0_265
  <=> h4(e11) = e21 ),
    introduced(split_symbol_definition) ).

fof(f1568,plain,
    ( h4(e11) != e21
    | spl0_265 ),
    inference(component_clause,[status(thm)],[f1566]) ).

fof(f1569,plain,
    ( ~ spl0_216
    | ~ spl0_265 ),
    inference(split_clause,[status(thm)],[f400,f1368,f1566]) ).

fof(f1586,plain,
    ( spl0_270
  <=> h4(e12) = e22 ),
    introduced(split_symbol_definition) ).

fof(f1588,plain,
    ( h4(e12) != e22
    | spl0_270 ),
    inference(component_clause,[status(thm)],[f1586]) ).

fof(f1589,plain,
    ( ~ spl0_217
    | ~ spl0_270 ),
    inference(split_clause,[status(thm)],[f406,f1371,f1586]) ).

fof(f1763,plain,
    h4(e10) = e20,
    inference(forward_demodulation,[status(thm)],[f287,f303]) ).

fof(f1764,plain,
    ( $false
    | spl0_260 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1763,f1548]) ).

fof(f1765,plain,
    spl0_260,
    inference(contradiction_clause,[status(thm)],[f1764]) ).

fof(f1768,plain,
    op1(e10,e13) != e10,
    inference(paramodulation,[status(thm)],[f284,f136]) ).

fof(f1769,plain,
    op1(e11,e13) != e10,
    inference(paramodulation,[status(thm)],[f284,f138]) ).

fof(f1770,plain,
    op1(e12,e13) != e10,
    inference(paramodulation,[status(thm)],[f284,f139]) ).

fof(f1781,plain,
    ( e23 != e23
    | spl0_221 ),
    inference(forward_demodulation,[status(thm)],[f302,f1388]) ).

fof(f1782,plain,
    ( $false
    | spl0_221 ),
    inference(trivial_equality_resolution,[status(esa)],[f1781]) ).

fof(f1783,plain,
    spl0_221,
    inference(contradiction_clause,[status(thm)],[f1782]) ).

fof(f1786,plain,
    op1(e13,e10) != e10,
    inference(paramodulation,[status(thm)],[f284,f160]) ).

fof(f1787,plain,
    op1(e13,e11) != e10,
    inference(paramodulation,[status(thm)],[f284,f162]) ).

fof(f1788,plain,
    op1(e13,e12) != e10,
    inference(paramodulation,[status(thm)],[f284,f163]) ).

fof(f1800,plain,
    ( h4(e10) != op2(h4(e13),h4(e13))
    | spl0_214 ),
    inference(forward_demodulation,[status(thm)],[f284,f1364]) ).

fof(f1801,plain,
    ( h4(e10) != op2(e23,h4(e13))
    | spl0_214 ),
    inference(forward_demodulation,[status(thm)],[f302,f1800]) ).

fof(f1802,plain,
    ( h4(e10) != op2(e23,e23)
    | spl0_214 ),
    inference(forward_demodulation,[status(thm)],[f302,f1801]) ).

fof(f1803,plain,
    ( h4(e10) != e20
    | spl0_214 ),
    inference(paramodulation,[status(thm)],[f287,f1802]) ).

fof(f1804,plain,
    ( ~ spl0_260
    | spl0_214 ),
    inference(split_clause,[status(thm)],[f1803,f1546,f1362]) ).

fof(f1809,plain,
    ( h4(op1(e13,e12)) != op2(e23,h4(e12))
    | spl0_213 ),
    inference(forward_demodulation,[status(thm)],[f302,f1361]) ).

fof(f1810,plain,
    ( op1(e10,e10) != e10
    | ~ spl0_4 ),
    inference(paramodulation,[status(thm)],[f586,f140]) ).

fof(f1811,plain,
    ( op1(e10,e10) != e11
    | ~ spl0_17 ),
    inference(paramodulation,[status(thm)],[f628,f116]) ).

fof(f1813,plain,
    ( op1(e13,e10) != e13
    | ~ spl0_55 ),
    inference(paramodulation,[status(thm)],[f751,f158]) ).

fof(f1822,plain,
    ( $false
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f612,f1768]) ).

fof(f1823,plain,
    ~ spl0_12,
    inference(contradiction_clause,[status(thm)],[f1822]) ).

fof(f1834,plain,
    ( h4(op1(e13,e10)) != op2(e23,h4(e10))
    | spl0_211 ),
    inference(forward_demodulation,[status(thm)],[f302,f1355]) ).

fof(f1835,plain,
    ( h4(op1(e13,e10)) != op2(e23,e20)
    | spl0_211 ),
    inference(forward_demodulation,[status(thm)],[f1763,f1834]) ).

fof(f1836,plain,
    ( h4(op1(e12,e13)) != op2(h4(e12),e23)
    | spl0_210 ),
    inference(forward_demodulation,[status(thm)],[f302,f1352]) ).

fof(f1842,plain,
    op2(e20,e23) != e20,
    inference(paramodulation,[status(thm)],[f287,f184]) ).

fof(f1843,plain,
    ( e20 != e20
    | ~ spl0_76 ),
    inference(forward_demodulation,[status(thm)],[f852,f1842]) ).

fof(f1844,plain,
    ( $false
    | ~ spl0_76 ),
    inference(trivial_equality_resolution,[status(esa)],[f1843]) ).

fof(f1845,plain,
    ~ spl0_76,
    inference(contradiction_clause,[status(thm)],[f1844]) ).

fof(f1846,plain,
    ( e20 = e23
    | ~ spl0_127 ),
    inference(forward_demodulation,[status(thm)],[f287,f1017]) ).

fof(f1847,plain,
    ( $false
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1846,f220]) ).

fof(f1848,plain,
    ~ spl0_127,
    inference(contradiction_clause,[status(thm)],[f1847]) ).

fof(f1851,plain,
    op2(e22,e23) != e20,
    inference(paramodulation,[status(thm)],[f287,f187]) ).

fof(f1852,plain,
    ( op2(e20,e20) != e20
    | ~ spl0_68 ),
    inference(paramodulation,[status(thm)],[f826,f188]) ).

fof(f1853,plain,
    ( ~ spl0_64
    | ~ spl0_68 ),
    inference(split_clause,[status(thm)],[f1852,f812,f825]) ).

fof(f1855,plain,
    ( op2(e22,e20) != e22
    | ~ spl0_102 ),
    inference(paramodulation,[status(thm)],[f936,f200]) ).

fof(f1859,plain,
    ( h4(op1(e12,e10)) != op2(h4(e12),e20)
    | spl0_207 ),
    inference(forward_demodulation,[status(thm)],[f1763,f1343]) ).

fof(f1860,plain,
    ( h4(op1(e11,e13)) != op2(h4(e11),e23)
    | spl0_206 ),
    inference(forward_demodulation,[status(thm)],[f302,f1340]) ).

fof(f1874,plain,
    ( op2(e21,e21) != e21
    | ~ spl0_93 ),
    inference(paramodulation,[status(thm)],[f907,f198]) ).

fof(f1875,plain,
    ( ~ spl0_85
    | ~ spl0_93 ),
    inference(split_clause,[status(thm)],[f1874,f880,f906]) ).

fof(f1883,plain,
    ( op2(e20,e21) != e20
    | ~ spl0_72 ),
    inference(paramodulation,[status(thm)],[f839,f191]) ).

fof(f1892,plain,
    ( op1(e13,e10) != e13
    | ~ spl0_59 ),
    inference(paramodulation,[status(thm)],[f764,f159]) ).

fof(f1896,plain,
    ( h4(op1(e13,e11)) != op2(e23,h4(e11))
    | spl0_212 ),
    inference(forward_demodulation,[status(thm)],[f302,f1358]) ).

fof(f1898,plain,
    ( h4(e13) != op2(e23,e20)
    | ~ spl0_51
    | spl0_211 ),
    inference(backward_demodulation,[status(thm)],[f738,f1835]) ).

fof(f1899,plain,
    ( h4(e13) != e23
    | ~ spl0_115
    | ~ spl0_51
    | spl0_211 ),
    inference(forward_demodulation,[status(thm)],[f978,f1898]) ).

fof(f1900,plain,
    ( e23 != e23
    | ~ spl0_115
    | ~ spl0_51
    | spl0_211 ),
    inference(forward_demodulation,[status(thm)],[f302,f1899]) ).

fof(f1901,plain,
    ( $false
    | ~ spl0_115
    | ~ spl0_51
    | spl0_211 ),
    inference(trivial_equality_resolution,[status(esa)],[f1900]) ).

fof(f1902,plain,
    ( ~ spl0_115
    | ~ spl0_51
    | spl0_211 ),
    inference(contradiction_clause,[status(thm)],[f1901]) ).

fof(f1908,plain,
    ( h4(e13) = op2(h4(e13),h4(e10))
    | ~ spl0_51
    | ~ spl0_211 ),
    inference(forward_demodulation,[status(thm)],[f738,f1354]) ).

fof(f1909,plain,
    ( e23 = op2(h4(e13),h4(e10))
    | ~ spl0_51
    | ~ spl0_211 ),
    inference(forward_demodulation,[status(thm)],[f302,f1908]) ).

fof(f1910,plain,
    ( e23 = op2(e23,h4(e10))
    | ~ spl0_51
    | ~ spl0_211 ),
    inference(forward_demodulation,[status(thm)],[f302,f1909]) ).

fof(f1919,plain,
    ( op1(e11,e13) != e12
    | ~ spl0_46 ),
    inference(paramodulation,[status(thm)],[f722,f137]) ).

fof(f1921,plain,
    ( h4(e12) != op2(h4(e12),e20)
    | ~ spl0_34
    | spl0_207 ),
    inference(backward_demodulation,[status(thm)],[f683,f1859]) ).

fof(f1934,plain,
    ( h4(op1(e11,e10)) != op2(h4(e11),e20)
    | spl0_203 ),
    inference(forward_demodulation,[status(thm)],[f1763,f1331]) ).

fof(f1935,plain,
    ( h4(op1(e10,e13)) != op2(e20,h4(e13))
    | spl0_202 ),
    inference(forward_demodulation,[status(thm)],[f1763,f1328]) ).

fof(f1936,plain,
    ( h4(op1(e10,e13)) != op2(e20,e23)
    | spl0_202 ),
    inference(forward_demodulation,[status(thm)],[f302,f1935]) ).

fof(f1938,plain,
    ( op1(e11,e11) != e11
    | ~ spl0_25 ),
    inference(paramodulation,[status(thm)],[f654,f149]) ).

fof(f1941,plain,
    ( op1(e10,e11) != e10
    | ~ spl0_8 ),
    inference(paramodulation,[status(thm)],[f599,f143]) ).

fof(f1942,plain,
    ( e10 != e10
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[status(thm)],[f586,f1941]) ).

fof(f1943,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(trivial_equality_resolution,[status(esa)],[f1942]) ).

fof(f1944,plain,
    ( ~ spl0_4
    | ~ spl0_8 ),
    inference(contradiction_clause,[status(thm)],[f1943]) ).

fof(f1945,plain,
    ( h4(op1(e10,e12)) != op2(e20,h4(e12))
    | spl0_201 ),
    inference(forward_demodulation,[status(thm)],[f1763,f1325]) ).

fof(f1946,plain,
    ( h4(e10) != op2(h4(e10),h4(e11))
    | ~ spl0_4
    | spl0_200 ),
    inference(forward_demodulation,[status(thm)],[f586,f1322]) ).

fof(f1947,plain,
    ( h4(e10) != op2(e20,h4(e11))
    | ~ spl0_4
    | spl0_200 ),
    inference(forward_demodulation,[status(thm)],[f1763,f1946]) ).

fof(f1948,plain,
    ( h4(op1(e10,e10)) != op2(e20,h4(e10))
    | spl0_199 ),
    inference(forward_demodulation,[status(thm)],[f1763,f1319]) ).

fof(f1949,plain,
    ( h4(op1(e10,e10)) != op2(e20,e20)
    | spl0_199 ),
    inference(forward_demodulation,[status(thm)],[f1763,f1948]) ).

fof(f1950,plain,
    ( op2(e23,e20) != e23
    | ~ spl0_119 ),
    inference(paramodulation,[status(thm)],[f991,f206]) ).

fof(f1951,plain,
    ( e23 != e23
    | ~ spl0_115
    | ~ spl0_119 ),
    inference(forward_demodulation,[status(thm)],[f978,f1950]) ).

fof(f1952,plain,
    ( $false
    | ~ spl0_115
    | ~ spl0_119 ),
    inference(trivial_equality_resolution,[status(esa)],[f1951]) ).

fof(f1953,plain,
    ( ~ spl0_115
    | ~ spl0_119 ),
    inference(contradiction_clause,[status(thm)],[f1952]) ).

fof(f1954,plain,
    ( e20 != e20
    | spl0_124 ),
    inference(forward_demodulation,[status(thm)],[f287,f1009]) ).

fof(f1955,plain,
    ( $false
    | spl0_124 ),
    inference(trivial_equality_resolution,[status(esa)],[f1954]) ).

fof(f1956,plain,
    spl0_124,
    inference(contradiction_clause,[status(thm)],[f1955]) ).

fof(f1957,plain,
    ( e23 = op2(e23,e20)
    | ~ spl0_51
    | ~ spl0_211 ),
    inference(forward_demodulation,[status(thm)],[f1763,f1910]) ).

fof(f1960,plain,
    ( op2(e23,e20) != e23
    | ~ spl0_123 ),
    inference(paramodulation,[status(thm)],[f1004,f207]) ).

fof(f1961,plain,
    ( ~ spl0_115
    | ~ spl0_123 ),
    inference(split_clause,[status(thm)],[f1960,f977,f1003]) ).

fof(f1962,plain,
    ( ~ spl0_68
    | ~ spl0_72 ),
    inference(split_clause,[status(thm)],[f1883,f825,f838]) ).

fof(f1964,plain,
    op2(e23,e20) != e20,
    inference(paramodulation,[status(thm)],[f287,f208]) ).

fof(f1965,plain,
    op2(e23,e21) != e20,
    inference(paramodulation,[status(thm)],[f287,f210]) ).

fof(f1966,plain,
    op2(e23,e22) != e20,
    inference(paramodulation,[status(thm)],[f287,f211]) ).

fof(f1967,plain,
    e11 = op1(e10,op1(e13,e13)),
    inference(forward_demodulation,[status(thm)],[f284,f285]) ).

fof(f1968,plain,
    e11 = op1(e10,e10),
    inference(forward_demodulation,[status(thm)],[f284,f1967]) ).

fof(f1969,plain,
    ( h4(e11) != op2(e20,e20)
    | spl0_199 ),
    inference(backward_demodulation,[status(thm)],[f1968,f1949]) ).

fof(f1970,plain,
    ( h4(e11) != h1(e10)
    | spl0_199 ),
    inference(forward_demodulation,[status(thm)],[f291,f1969]) ).

fof(f1971,plain,
    e21 = op2(e20,op2(e23,e23)),
    inference(forward_demodulation,[status(thm)],[f287,f288]) ).

fof(f1972,plain,
    e21 = op2(e20,e20),
    inference(forward_demodulation,[status(thm)],[f287,f1971]) ).

fof(f1973,plain,
    h1(e10) = e21,
    inference(backward_demodulation,[status(thm)],[f1972,f291]) ).

fof(f1979,plain,
    h1(e11) = op2(e21,op2(e20,e20)),
    inference(forward_demodulation,[status(thm)],[f1972,f292]) ).

fof(f1980,plain,
    h1(e11) = op2(e21,e21),
    inference(forward_demodulation,[status(thm)],[f1972,f1979]) ).

fof(f1984,plain,
    e12 = op1(op1(e10,op1(e13,e13)),e13),
    inference(forward_demodulation,[status(thm)],[f284,f286]) ).

fof(f1985,plain,
    e12 = op1(op1(e10,e10),e13),
    inference(forward_demodulation,[status(thm)],[f284,f1984]) ).

fof(f1986,plain,
    e12 = op1(e11,e13),
    inference(forward_demodulation,[status(thm)],[f1968,f1985]) ).

fof(f1987,plain,
    op1(e11,e12) != e12,
    inference(paramodulation,[status(thm)],[f1986,f151]) ).

fof(f1989,plain,
    op1(e11,e11) != e12,
    inference(paramodulation,[status(thm)],[f1986,f150]) ).

fof(f1990,plain,
    op1(e11,e10) != e12,
    inference(paramodulation,[status(thm)],[f1986,f148]) ).

fof(f1992,plain,
    op1(e10,e13) != e12,
    inference(paramodulation,[status(thm)],[f1986,f134]) ).

fof(f1993,plain,
    e22 = op2(op2(e20,op2(e23,e23)),e23),
    inference(forward_demodulation,[status(thm)],[f287,f289]) ).

fof(f1994,plain,
    e22 = op2(op2(e20,e20),e23),
    inference(forward_demodulation,[status(thm)],[f287,f1993]) ).

fof(f1995,plain,
    e22 = op2(e21,e23),
    inference(forward_demodulation,[status(thm)],[f1972,f1994]) ).

fof(f1996,plain,
    op2(e21,e22) != e22,
    inference(paramodulation,[status(thm)],[f1995,f199]) ).

fof(f1999,plain,
    op2(e21,e20) != e22,
    inference(paramodulation,[status(thm)],[f1995,f196]) ).

fof(f2001,plain,
    op2(e20,e23) != e22,
    inference(paramodulation,[status(thm)],[f1995,f182]) ).

fof(f2006,plain,
    h4(e11) = op2(e20,op2(e23,e23)),
    inference(forward_demodulation,[status(thm)],[f287,f304]) ).

fof(f2007,plain,
    h4(e11) = op2(e20,e20),
    inference(forward_demodulation,[status(thm)],[f287,f2006]) ).

fof(f2008,plain,
    h4(e11) = e21,
    inference(forward_demodulation,[status(thm)],[f1972,f2007]) ).

fof(f2009,plain,
    ( $false
    | spl0_265 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2008,f1568]) ).

fof(f2010,plain,
    spl0_265,
    inference(contradiction_clause,[status(thm)],[f2009]) ).

fof(f2011,plain,
    ( h4(e10) != op2(e20,e21)
    | ~ spl0_4
    | spl0_200 ),
    inference(backward_demodulation,[status(thm)],[f2008,f1947]) ).

fof(f2012,plain,
    ( h4(op1(e11,e10)) != op2(e21,e20)
    | spl0_203 ),
    inference(backward_demodulation,[status(thm)],[f2008,f1934]) ).

fof(f2013,plain,
    ( h4(op1(e11,e11)) != op2(h4(e11),e21)
    | spl0_204 ),
    inference(backward_demodulation,[status(thm)],[f2008,f1334]) ).

fof(f2014,plain,
    ( h4(op1(e11,e11)) != op2(e21,e21)
    | spl0_204 ),
    inference(forward_demodulation,[status(thm)],[f2008,f2013]) ).

fof(f2027,plain,
    h4(e12) = op2(op2(e20,op2(e23,e23)),e23),
    inference(forward_demodulation,[status(thm)],[f287,f305]) ).

fof(f2028,plain,
    h4(e12) = op2(op2(e20,e20),e23),
    inference(forward_demodulation,[status(thm)],[f287,f2027]) ).

fof(f2029,plain,
    h4(e12) = op2(e21,e23),
    inference(forward_demodulation,[status(thm)],[f1972,f2028]) ).

fof(f2030,plain,
    h4(e12) = e22,
    inference(forward_demodulation,[status(thm)],[f1995,f2029]) ).

fof(f2031,plain,
    ( $false
    | spl0_270 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2030,f1588]) ).

fof(f2032,plain,
    spl0_270,
    inference(contradiction_clause,[status(thm)],[f2031]) ).

fof(f2033,plain,
    ( h4(op1(e10,e12)) != op2(e20,e22)
    | spl0_201 ),
    inference(backward_demodulation,[status(thm)],[f2030,f1945]) ).

fof(f2034,plain,
    ( h4(op1(e12,e12)) != op2(h4(e12),e22)
    | spl0_209 ),
    inference(backward_demodulation,[status(thm)],[f2030,f1349]) ).

fof(f2035,plain,
    ( h4(op1(e12,e12)) != op2(e22,e22)
    | spl0_209 ),
    inference(forward_demodulation,[status(thm)],[f2030,f2034]) ).

fof(f2057,plain,
    ( e22 = e23
    | ~ spl0_95 ),
    inference(forward_demodulation,[status(thm)],[f1995,f913]) ).

fof(f2058,plain,
    ( $false
    | ~ spl0_95 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2057,f223]) ).

fof(f2059,plain,
    ~ spl0_95,
    inference(contradiction_clause,[status(thm)],[f2058]) ).

fof(f2065,plain,
    ( $false
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[status(thm)],[f969,f1964]) ).

fof(f2066,plain,
    ~ spl0_112,
    inference(contradiction_clause,[status(thm)],[f2065]) ).

fof(f2070,plain,
    ( $false
    | ~ spl0_44 ),
    inference(forward_subsumption_resolution,[status(thm)],[f716,f1770]) ).

fof(f2071,plain,
    ~ spl0_44,
    inference(contradiction_clause,[status(thm)],[f2070]) ).

fof(f2072,plain,
    ( $false
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f664,f1769]) ).

fof(f2073,plain,
    ~ spl0_28,
    inference(contradiction_clause,[status(thm)],[f2072]) ).

fof(f2074,plain,
    ( $false
    | ~ spl0_56 ),
    inference(forward_subsumption_resolution,[status(thm)],[f755,f1788]) ).

fof(f2075,plain,
    ~ spl0_56,
    inference(contradiction_clause,[status(thm)],[f2074]) ).

fof(f2076,plain,
    ( $false
    | ~ spl0_52 ),
    inference(forward_subsumption_resolution,[status(thm)],[f742,f1787]) ).

fof(f2077,plain,
    ~ spl0_52,
    inference(contradiction_clause,[status(thm)],[f2076]) ).

fof(f2081,plain,
    ( e12 = e13
    | ~ spl0_34
    | ~ spl0_35 ),
    inference(forward_demodulation,[status(thm)],[f683,f686]) ).

fof(f2082,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2081,f217]) ).

fof(f2083,plain,
    ( ~ spl0_34
    | ~ spl0_35 ),
    inference(contradiction_clause,[status(thm)],[f2082]) ).

fof(f2088,plain,
    ( e11 != e11
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f1968,f577]) ).

fof(f2089,plain,
    ( $false
    | spl0_1 ),
    inference(trivial_equality_resolution,[status(esa)],[f2088]) ).

fof(f2090,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f2089]) ).

fof(f2091,plain,
    ( h4(op1(e11,e12)) != op2(e21,h4(e12))
    | spl0_205 ),
    inference(forward_demodulation,[status(thm)],[f2008,f1337]) ).

fof(f2092,plain,
    ( h4(op1(e11,e12)) != op2(e21,e22)
    | spl0_205 ),
    inference(forward_demodulation,[status(thm)],[f2030,f2091]) ).

fof(f2101,plain,
    ( ~ spl0_0
    | ~ spl0_4 ),
    inference(split_clause,[status(thm)],[f1810,f572,f585]) ).

fof(f2102,plain,
    ( e13 != e13
    | ~ spl0_51
    | ~ spl0_55 ),
    inference(forward_demodulation,[status(thm)],[f738,f1813]) ).

fof(f2103,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_55 ),
    inference(trivial_equality_resolution,[status(esa)],[f2102]) ).

fof(f2104,plain,
    ( ~ spl0_51
    | ~ spl0_55 ),
    inference(contradiction_clause,[status(thm)],[f2103]) ).

fof(f2106,plain,
    ( h4(op1(e13,e12)) != op2(e23,e22)
    | spl0_213 ),
    inference(forward_demodulation,[status(thm)],[f2030,f1809]) ).

fof(f2119,plain,
    ( h4(op1(e12,e13)) != op2(e22,e23)
    | spl0_210 ),
    inference(forward_demodulation,[status(thm)],[f2030,f1836]) ).

fof(f2121,plain,
    ( e13 != e13
    | ~ spl0_51
    | ~ spl0_59 ),
    inference(forward_demodulation,[status(thm)],[f738,f1892]) ).

fof(f2122,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_59 ),
    inference(trivial_equality_resolution,[status(esa)],[f2121]) ).

fof(f2123,plain,
    ( ~ spl0_51
    | ~ spl0_59 ),
    inference(contradiction_clause,[status(thm)],[f2122]) ).

fof(f2126,plain,
    ( $false
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f618,f1992]) ).

fof(f2127,plain,
    ~ spl0_14,
    inference(contradiction_clause,[status(thm)],[f2126]) ).

fof(f2140,plain,
    ( e12 != e12
    | ~ spl0_46 ),
    inference(forward_demodulation,[status(thm)],[f1986,f1919]) ).

fof(f2141,plain,
    ( $false
    | ~ spl0_46 ),
    inference(trivial_equality_resolution,[status(esa)],[f2140]) ).

fof(f2142,plain,
    ~ spl0_46,
    inference(contradiction_clause,[status(thm)],[f2141]) ).

fof(f2146,plain,
    ( h4(e12) != op2(e22,e20)
    | ~ spl0_34
    | spl0_207 ),
    inference(forward_demodulation,[status(thm)],[f2030,f1921]) ).

fof(f2147,plain,
    ( h4(e12) != e22
    | ~ spl0_98
    | ~ spl0_34
    | spl0_207 ),
    inference(forward_demodulation,[status(thm)],[f923,f2146]) ).

fof(f2148,plain,
    ( e22 != e22
    | ~ spl0_98
    | ~ spl0_34
    | spl0_207 ),
    inference(forward_demodulation,[status(thm)],[f2030,f2147]) ).

fof(f2149,plain,
    ( $false
    | ~ spl0_98
    | ~ spl0_34
    | spl0_207 ),
    inference(trivial_equality_resolution,[status(esa)],[f2148]) ).

fof(f2150,plain,
    ( ~ spl0_98
    | ~ spl0_34
    | spl0_207 ),
    inference(contradiction_clause,[status(thm)],[f2149]) ).

fof(f2152,plain,
    ( ~ spl0_21
    | ~ spl0_25 ),
    inference(split_clause,[status(thm)],[f1938,f640,f653]) ).

fof(f2153,plain,
    ( h4(op1(e12,e10)) = op2(e22,h4(e10))
    | ~ spl0_207 ),
    inference(forward_demodulation,[status(thm)],[f2030,f1342]) ).

fof(f2154,plain,
    ( h4(op1(e12,e10)) = op2(e22,e20)
    | ~ spl0_207 ),
    inference(forward_demodulation,[status(thm)],[f1763,f2153]) ).

fof(f2155,plain,
    ( h4(op1(e12,e10)) = e22
    | ~ spl0_98
    | ~ spl0_207 ),
    inference(forward_demodulation,[status(thm)],[f923,f2154]) ).

fof(f2156,plain,
    ( $false
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f644,f1989]) ).

fof(f2157,plain,
    ~ spl0_22,
    inference(contradiction_clause,[status(thm)],[f2156]) ).

fof(f2158,plain,
    ( ~ spl0_1
    | ~ spl0_17 ),
    inference(split_clause,[status(thm)],[f1811,f575,f627]) ).

fof(f2169,plain,
    ( e12 != e12
    | ~ spl0_26 ),
    inference(forward_demodulation,[status(thm)],[f657,f1987]) ).

fof(f2170,plain,
    ( $false
    | ~ spl0_26 ),
    inference(trivial_equality_resolution,[status(esa)],[f2169]) ).

fof(f2171,plain,
    ~ spl0_26,
    inference(contradiction_clause,[status(thm)],[f2170]) ).

fof(f2175,plain,
    ( op2(e21,e20) != e23
    | ~ spl0_51
    | ~ spl0_211 ),
    inference(paramodulation,[status(thm)],[f1957,f168]) ).

fof(f2185,plain,
    ( h4(e11) != e21
    | spl0_199 ),
    inference(forward_demodulation,[status(thm)],[f1973,f1970]) ).

fof(f2186,plain,
    ( e21 != e21
    | spl0_199 ),
    inference(forward_demodulation,[status(thm)],[f2008,f2185]) ).

fof(f2187,plain,
    ( $false
    | spl0_199 ),
    inference(trivial_equality_resolution,[status(esa)],[f2186]) ).

fof(f2188,plain,
    spl0_199,
    inference(contradiction_clause,[status(thm)],[f2187]) ).

fof(f2193,plain,
    ( h4(op1(e13,e11)) != op2(e23,e21)
    | spl0_212 ),
    inference(forward_demodulation,[status(thm)],[f2008,f1896]) ).

fof(f2194,plain,
    ( h4(e12) != op2(h4(e11),e23)
    | spl0_206 ),
    inference(forward_demodulation,[status(thm)],[f1986,f1860]) ).

fof(f2195,plain,
    ( h4(e12) != op2(e21,e23)
    | spl0_206 ),
    inference(forward_demodulation,[status(thm)],[f2008,f2194]) ).

fof(f2196,plain,
    ( h4(e12) != e22
    | spl0_206 ),
    inference(paramodulation,[status(thm)],[f1995,f2195]) ).

fof(f2197,plain,
    ( ~ spl0_270
    | spl0_206 ),
    inference(split_clause,[status(thm)],[f2196,f1586,f1338]) ).

fof(f2247,plain,
    ( $false
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[status(thm)],[f729,f1786]) ).

fof(f2248,plain,
    ~ spl0_48,
    inference(contradiction_clause,[status(thm)],[f2247]) ).

fof(f2249,plain,
    ( e20 = e22
    | ~ spl0_96
    | ~ spl0_98 ),
    inference(backward_demodulation,[status(thm)],[f917,f923]) ).

fof(f2250,plain,
    ( $false
    | ~ spl0_96
    | ~ spl0_98 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2249,f219]) ).

fof(f2251,plain,
    ( ~ spl0_96
    | ~ spl0_98 ),
    inference(contradiction_clause,[status(thm)],[f2250]) ).

fof(f2253,plain,
    ( h4(e10) = e22
    | ~ spl0_32
    | ~ spl0_98
    | ~ spl0_207 ),
    inference(backward_demodulation,[status(thm)],[f677,f2155]) ).

fof(f2254,plain,
    ( e20 = e22
    | ~ spl0_32
    | ~ spl0_98
    | ~ spl0_207 ),
    inference(forward_demodulation,[status(thm)],[f1763,f2253]) ).

fof(f2255,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_98
    | ~ spl0_207 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2254,f219]) ).

fof(f2256,plain,
    ( ~ spl0_32
    | ~ spl0_98
    | ~ spl0_207 ),
    inference(contradiction_clause,[status(thm)],[f2255]) ).

fof(f2258,plain,
    ( op2(e21,e21) != e21
    | ~ spl0_101 ),
    inference(paramodulation,[status(thm)],[f933,f173]) ).

fof(f2259,plain,
    ( ~ spl0_85
    | ~ spl0_101 ),
    inference(split_clause,[status(thm)],[f2258,f880,f932]) ).

fof(f2270,plain,
    ( op2(e21,e21) != e21
    | ~ spl0_117 ),
    inference(paramodulation,[status(thm)],[f985,f174]) ).

fof(f2271,plain,
    ( ~ spl0_85
    | ~ spl0_117 ),
    inference(split_clause,[status(thm)],[f2270,f880,f984]) ).

fof(f2279,plain,
    ( op1(e11,e11) != e11
    | ~ spl0_53 ),
    inference(paramodulation,[status(thm)],[f745,f126]) ).

fof(f2280,plain,
    ( ~ spl0_21
    | ~ spl0_53 ),
    inference(split_clause,[status(thm)],[f2279,f640,f744]) ).

fof(f2287,plain,
    ( h4(e12) != op2(e20,e22)
    | ~ spl0_10
    | spl0_201 ),
    inference(backward_demodulation,[status(thm)],[f605,f2033]) ).

fof(f2288,plain,
    ( h4(e12) != e22
    | ~ spl0_74
    | ~ spl0_10
    | spl0_201 ),
    inference(forward_demodulation,[status(thm)],[f845,f2287]) ).

fof(f2289,plain,
    ( e22 != e22
    | ~ spl0_74
    | ~ spl0_10
    | spl0_201 ),
    inference(forward_demodulation,[status(thm)],[f2030,f2288]) ).

fof(f2290,plain,
    ( $false
    | ~ spl0_74
    | ~ spl0_10
    | spl0_201 ),
    inference(trivial_equality_resolution,[status(esa)],[f2289]) ).

fof(f2291,plain,
    ( ~ spl0_74
    | ~ spl0_10
    | spl0_201 ),
    inference(contradiction_clause,[status(thm)],[f2290]) ).

fof(f2299,plain,
    ( op2(e23,e21) != e22
    | ~ spl0_122 ),
    inference(paramodulation,[status(thm)],[f1001,f209]) ).

fof(f2327,plain,
    ( op1(e10,e12) != e12
    | ~ spl0_58 ),
    inference(paramodulation,[status(thm)],[f761,f130]) ).

fof(f2328,plain,
    ( e12 != e12
    | ~ spl0_10
    | ~ spl0_58 ),
    inference(forward_demodulation,[status(thm)],[f605,f2327]) ).

fof(f2329,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_58 ),
    inference(trivial_equality_resolution,[status(esa)],[f2328]) ).

fof(f2330,plain,
    ( ~ spl0_10
    | ~ spl0_58 ),
    inference(contradiction_clause,[status(thm)],[f2329]) ).

fof(f2340,plain,
    ( h4(e13) != op2(e20,e23)
    | ~ spl0_15
    | spl0_202 ),
    inference(backward_demodulation,[status(thm)],[f621,f1936]) ).

fof(f2341,plain,
    ( h4(e13) != e23
    | ~ spl0_79
    | ~ spl0_15
    | spl0_202 ),
    inference(forward_demodulation,[status(thm)],[f861,f2340]) ).

fof(f2342,plain,
    ( e23 != e23
    | ~ spl0_79
    | ~ spl0_15
    | spl0_202 ),
    inference(forward_demodulation,[status(thm)],[f302,f2341]) ).

fof(f2343,plain,
    ( $false
    | ~ spl0_79
    | ~ spl0_15
    | spl0_202 ),
    inference(trivial_equality_resolution,[status(esa)],[f2342]) ).

fof(f2344,plain,
    ( ~ spl0_79
    | ~ spl0_15
    | spl0_202 ),
    inference(contradiction_clause,[status(thm)],[f2343]) ).

fof(f2366,plain,
    ( op1(e10,e13) != e13
    | ~ spl0_47 ),
    inference(paramodulation,[status(thm)],[f725,f135]) ).

fof(f2367,plain,
    ( e13 != e13
    | ~ spl0_15
    | ~ spl0_47 ),
    inference(forward_demodulation,[status(thm)],[f621,f2366]) ).

fof(f2368,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_47 ),
    inference(trivial_equality_resolution,[status(esa)],[f2367]) ).

fof(f2369,plain,
    ( ~ spl0_15
    | ~ spl0_47 ),
    inference(contradiction_clause,[status(thm)],[f2368]) ).

fof(f2370,plain,
    ( $false
    | ~ spl0_108 ),
    inference(forward_subsumption_resolution,[status(thm)],[f956,f1851]) ).

fof(f2371,plain,
    ~ spl0_108,
    inference(contradiction_clause,[status(thm)],[f2370]) ).

fof(f2375,plain,
    ( $false
    | ~ spl0_78 ),
    inference(forward_subsumption_resolution,[status(thm)],[f858,f2001]) ).

fof(f2376,plain,
    ~ spl0_78,
    inference(contradiction_clause,[status(thm)],[f2375]) ).

fof(f2383,plain,
    ( e23 = e22
    | ~ spl0_114
    | ~ spl0_51
    | ~ spl0_211 ),
    inference(backward_demodulation,[status(thm)],[f975,f1957]) ).

fof(f2384,plain,
    ( $false
    | ~ spl0_114
    | ~ spl0_51
    | ~ spl0_211 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2383,f223]) ).

fof(f2385,plain,
    ( ~ spl0_114
    | ~ spl0_51
    | ~ spl0_211 ),
    inference(contradiction_clause,[status(thm)],[f2384]) ).

fof(f2395,plain,
    ( h4(op1(e12,e11)) != op2(e22,h4(e11))
    | spl0_208 ),
    inference(forward_demodulation,[status(thm)],[f2030,f1346]) ).

fof(f2396,plain,
    ( h4(op1(e12,e11)) != op2(e22,e21)
    | spl0_208 ),
    inference(forward_demodulation,[status(thm)],[f2008,f2395]) ).

fof(f2421,plain,
    ( $false
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f631,f1990]) ).

fof(f2422,plain,
    ~ spl0_18,
    inference(contradiction_clause,[status(thm)],[f2421]) ).

fof(f2453,plain,
    ( $false
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[status(thm)],[f982,f1965]) ).

fof(f2454,plain,
    ~ spl0_116,
    inference(contradiction_clause,[status(thm)],[f2453]) ).

fof(f2463,plain,
    ( $false
    | ~ spl0_120 ),
    inference(forward_subsumption_resolution,[status(thm)],[f995,f1966]) ).

fof(f2464,plain,
    ~ spl0_120,
    inference(contradiction_clause,[status(thm)],[f2463]) ).

fof(f2468,plain,
    ( $false
    | ~ spl0_90 ),
    inference(forward_subsumption_resolution,[status(thm)],[f897,f1996]) ).

fof(f2469,plain,
    ~ spl0_90,
    inference(contradiction_clause,[status(thm)],[f2468]) ).

fof(f2470,plain,
    ( h4(op1(e10,e12)) = op2(e20,h4(e12))
    | ~ spl0_201 ),
    inference(forward_demodulation,[status(thm)],[f1763,f1324]) ).

fof(f2471,plain,
    ( h4(op1(e10,e12)) = op2(e20,e22)
    | ~ spl0_201 ),
    inference(forward_demodulation,[status(thm)],[f2030,f2470]) ).

fof(f2474,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_211
    | ~ spl0_83 ),
    inference(forward_subsumption_resolution,[status(thm)],[f874,f2175]) ).

fof(f2475,plain,
    ( ~ spl0_51
    | ~ spl0_211
    | ~ spl0_83 ),
    inference(contradiction_clause,[status(thm)],[f2474]) ).

fof(f2476,plain,
    ( e21 != e21
    | spl0_65 ),
    inference(forward_demodulation,[status(thm)],[f1972,f817]) ).

fof(f2477,plain,
    ( $false
    | spl0_65 ),
    inference(trivial_equality_resolution,[status(esa)],[f2476]) ).

fof(f2478,plain,
    spl0_65,
    inference(contradiction_clause,[status(thm)],[f2477]) ).

fof(f2486,plain,
    ( op2(e20,e21) != e20
    | ~ spl0_100 ),
    inference(paramodulation,[status(thm)],[f930,f171]) ).

fof(f2487,plain,
    ( ~ spl0_68
    | ~ spl0_100 ),
    inference(split_clause,[status(thm)],[f2486,f825,f929]) ).

fof(f2492,plain,
    ( h4(e13) = op2(e20,e22)
    | ~ spl0_11
    | ~ spl0_201 ),
    inference(backward_demodulation,[status(thm)],[f608,f2471]) ).

fof(f2493,plain,
    ( e23 = op2(e20,e22)
    | ~ spl0_11
    | ~ spl0_201 ),
    inference(forward_demodulation,[status(thm)],[f302,f2492]) ).

fof(f2505,plain,
    ( op1(e11,e10) != e10
    | ~ spl0_24 ),
    inference(paramodulation,[status(thm)],[f651,f147]) ).

fof(f2506,plain,
    ( ~ spl0_16
    | ~ spl0_24 ),
    inference(split_clause,[status(thm)],[f2505,f624,f650]) ).

fof(f2535,plain,
    ( op1(e13,e10) != e12
    | ~ spl0_54 ),
    inference(paramodulation,[status(thm)],[f748,f158]) ).

fof(f2541,plain,
    ( h4(e11) != op2(e23,e22)
    | ~ spl0_57
    | spl0_213 ),
    inference(backward_demodulation,[status(thm)],[f758,f2106]) ).

fof(f2571,plain,
    ( op2(e20,e22) != e23
    | ~ spl0_79 ),
    inference(paramodulation,[status(thm)],[f861,f193]) ).

fof(f2572,plain,
    ( e23 != e23
    | ~ spl0_11
    | ~ spl0_201
    | ~ spl0_79 ),
    inference(forward_demodulation,[status(thm)],[f2493,f2571]) ).

fof(f2573,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_201
    | ~ spl0_79 ),
    inference(trivial_equality_resolution,[status(esa)],[f2572]) ).

fof(f2574,plain,
    ( ~ spl0_11
    | ~ spl0_201
    | ~ spl0_79 ),
    inference(contradiction_clause,[status(thm)],[f2573]) ).

fof(f2579,plain,
    ( ~ spl0_118
    | ~ spl0_122 ),
    inference(split_clause,[status(thm)],[f2299,f987,f1000]) ).

fof(f2587,plain,
    ( op2(e20,e20) != e21
    | ~ spl0_77 ),
    inference(paramodulation,[status(thm)],[f855,f190]) ).

fof(f2588,plain,
    ( ~ spl0_65
    | ~ spl0_77 ),
    inference(split_clause,[status(thm)],[f2587,f815,f854]) ).

fof(f2593,plain,
    ( ~ spl0_98
    | ~ spl0_102 ),
    inference(split_clause,[status(thm)],[f1855,f922,f935]) ).

fof(f2596,plain,
    ( h4(e12) != op2(e23,e21)
    | ~ spl0_54
    | spl0_212 ),
    inference(forward_demodulation,[status(thm)],[f748,f2193]) ).

fof(f2597,plain,
    ( h4(e10) != op2(e22,e22)
    | ~ spl0_40
    | spl0_209 ),
    inference(forward_demodulation,[status(thm)],[f703,f2035]) ).

fof(f2598,plain,
    ( h4(e10) != h3(e10)
    | ~ spl0_40
    | spl0_209 ),
    inference(forward_demodulation,[status(thm)],[f299,f2597]) ).

fof(f2599,plain,
    ( h4(e13) != op2(e22,e21)
    | ~ spl0_39
    | spl0_208 ),
    inference(forward_demodulation,[status(thm)],[f699,f2396]) ).

fof(f2600,plain,
    ( h4(e11) != op2(e21,e21)
    | ~ spl0_21
    | spl0_204 ),
    inference(forward_demodulation,[status(thm)],[f641,f2014]) ).

fof(f2601,plain,
    ( h4(e11) != h1(e11)
    | ~ spl0_21
    | spl0_204 ),
    inference(forward_demodulation,[status(thm)],[f1980,f2600]) ).

fof(f2602,plain,
    ( h4(e10) != op2(e21,e20)
    | ~ spl0_16
    | spl0_203 ),
    inference(forward_demodulation,[status(thm)],[f625,f2012]) ).

fof(f2646,plain,
    ( op1(e11,e13) != e11
    | ~ spl0_45 ),
    inference(paramodulation,[status(thm)],[f719,f137]) ).

fof(f2647,plain,
    ( ~ spl0_29
    | ~ spl0_45 ),
    inference(split_clause,[status(thm)],[f2646,f666,f718]) ).

fof(f2652,plain,
    ( e10 = e13
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f586,f595]) ).

fof(f2653,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2652,f214]) ).

fof(f2654,plain,
    ( ~ spl0_4
    | ~ spl0_7 ),
    inference(contradiction_clause,[status(thm)],[f2653]) ).

fof(f2660,plain,
    ( e10 = e12
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f586,f592]) ).

fof(f2661,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2660,f213]) ).

fof(f2662,plain,
    ( ~ spl0_4
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f2661]) ).

fof(f2666,plain,
    ( $false
    | ~ spl0_82 ),
    inference(forward_subsumption_resolution,[status(thm)],[f871,f1999]) ).

fof(f2667,plain,
    ~ spl0_82,
    inference(contradiction_clause,[status(thm)],[f2666]) ).

fof(f2715,plain,
    ( h4(e11) != e21
    | ~ spl0_121
    | ~ spl0_57
    | spl0_213 ),
    inference(backward_demodulation,[status(thm)],[f998,f2541]) ).

fof(f2716,plain,
    ( ~ spl0_265
    | ~ spl0_121
    | ~ spl0_57
    | spl0_213 ),
    inference(split_clause,[status(thm)],[f2715,f1566,f997,f757,f1359]) ).

fof(f2726,plain,
    ( h4(e12) != e22
    | ~ spl0_118
    | ~ spl0_54
    | spl0_212 ),
    inference(backward_demodulation,[status(thm)],[f988,f2596]) ).

fof(f2727,plain,
    ( ~ spl0_270
    | ~ spl0_118
    | ~ spl0_54
    | spl0_212 ),
    inference(split_clause,[status(thm)],[f2726,f1586,f987,f747,f1356]) ).

fof(f2801,plain,
    ( h3(e10) = e20
    | ~ spl0_104 ),
    inference(backward_demodulation,[status(thm)],[f943,f299]) ).

fof(f2802,plain,
    ( $false
    | spl0_248
    | ~ spl0_104 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2801,f1500]) ).

fof(f2803,plain,
    ( spl0_248
    | ~ spl0_104 ),
    inference(contradiction_clause,[status(thm)],[f2802]) ).

fof(f2805,plain,
    ( e20 != h3(e10)
    | ~ spl0_40
    | spl0_209 ),
    inference(paramodulation,[status(thm)],[f1763,f2598]) ).

fof(f2806,plain,
    ( ~ spl0_248
    | ~ spl0_40
    | spl0_209 ),
    inference(split_clause,[status(thm)],[f2805,f1498,f702,f1347]) ).

fof(f2807,plain,
    ( h4(e13) != e23
    | ~ spl0_103
    | ~ spl0_39
    | spl0_208 ),
    inference(forward_demodulation,[status(thm)],[f939,f2599]) ).

fof(f2808,plain,
    ( e23 != e23
    | ~ spl0_103
    | ~ spl0_39
    | spl0_208 ),
    inference(forward_demodulation,[status(thm)],[f302,f2807]) ).

fof(f2809,plain,
    ( $false
    | ~ spl0_103
    | ~ spl0_39
    | spl0_208 ),
    inference(trivial_equality_resolution,[status(esa)],[f2808]) ).

fof(f2810,plain,
    ( ~ spl0_103
    | ~ spl0_39
    | spl0_208 ),
    inference(contradiction_clause,[status(thm)],[f2809]) ).

fof(f2828,plain,
    ( h1(e11) = e21
    | ~ spl0_85 ),
    inference(backward_demodulation,[status(thm)],[f881,f1980]) ).

fof(f2855,plain,
    ( h4(e10) != e20
    | ~ spl0_80
    | ~ spl0_16
    | spl0_203 ),
    inference(forward_demodulation,[status(thm)],[f865,f2602]) ).

fof(f2856,plain,
    ( e20 != e20
    | ~ spl0_80
    | ~ spl0_16
    | spl0_203 ),
    inference(forward_demodulation,[status(thm)],[f1763,f2855]) ).

fof(f2857,plain,
    ( $false
    | ~ spl0_80
    | ~ spl0_16
    | spl0_203 ),
    inference(trivial_equality_resolution,[status(esa)],[f2856]) ).

fof(f2858,plain,
    ( ~ spl0_80
    | ~ spl0_16
    | spl0_203 ),
    inference(contradiction_clause,[status(thm)],[f2857]) ).

fof(f2859,plain,
    ( h4(e10) != e20
    | ~ spl0_68
    | ~ spl0_4
    | spl0_200 ),
    inference(forward_demodulation,[status(thm)],[f826,f2011]) ).

fof(f2860,plain,
    ( e20 != e20
    | ~ spl0_68
    | ~ spl0_4
    | spl0_200 ),
    inference(forward_demodulation,[status(thm)],[f1763,f2859]) ).

fof(f2861,plain,
    ( $false
    | ~ spl0_68
    | ~ spl0_4
    | spl0_200 ),
    inference(trivial_equality_resolution,[status(esa)],[f2860]) ).

fof(f2862,plain,
    ( ~ spl0_68
    | ~ spl0_4
    | spl0_200 ),
    inference(contradiction_clause,[status(thm)],[f2861]) ).

fof(f2901,plain,
    ( h4(e11) != e21
    | ~ spl0_85
    | ~ spl0_21
    | spl0_204 ),
    inference(forward_demodulation,[status(thm)],[f2828,f2601]) ).

fof(f2902,plain,
    ( e21 != e21
    | ~ spl0_85
    | ~ spl0_21
    | spl0_204 ),
    inference(forward_demodulation,[status(thm)],[f2008,f2901]) ).

fof(f2903,plain,
    ( $false
    | ~ spl0_85
    | ~ spl0_21
    | spl0_204 ),
    inference(trivial_equality_resolution,[status(esa)],[f2902]) ).

fof(f2904,plain,
    ( ~ spl0_85
    | ~ spl0_21
    | spl0_204 ),
    inference(contradiction_clause,[status(thm)],[f2903]) ).

fof(f2908,plain,
    ( h4(e13) != op2(e21,e22)
    | ~ spl0_27
    | spl0_205 ),
    inference(forward_demodulation,[status(thm)],[f660,f2092]) ).

fof(f2909,plain,
    ( h4(e13) != e23
    | ~ spl0_91
    | ~ spl0_27
    | spl0_205 ),
    inference(forward_demodulation,[status(thm)],[f900,f2908]) ).

fof(f2910,plain,
    ( e23 != e23
    | ~ spl0_91
    | ~ spl0_27
    | spl0_205 ),
    inference(forward_demodulation,[status(thm)],[f302,f2909]) ).

fof(f2911,plain,
    ( $false
    | ~ spl0_91
    | ~ spl0_27
    | spl0_205 ),
    inference(trivial_equality_resolution,[status(esa)],[f2910]) ).

fof(f2912,plain,
    ( ~ spl0_91
    | ~ spl0_27
    | spl0_205 ),
    inference(contradiction_clause,[status(thm)],[f2911]) ).

fof(f2914,plain,
    ( h4(e11) != op2(e22,e23)
    | ~ spl0_45
    | spl0_210 ),
    inference(forward_demodulation,[status(thm)],[f719,f2119]) ).

fof(f2918,plain,
    ( h4(e11) != e21
    | ~ spl0_109
    | ~ spl0_45
    | spl0_210 ),
    inference(backward_demodulation,[status(thm)],[f959,f2914]) ).

fof(f2919,plain,
    ( ~ spl0_265
    | ~ spl0_109
    | ~ spl0_45
    | spl0_210 ),
    inference(split_clause,[status(thm)],[f2918,f1566,f958,f718,f1350]) ).

fof(f2932,plain,
    ( $false
    | ~ spl0_54
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[status(thm)],[f735,f2535]) ).

fof(f2933,plain,
    ( ~ spl0_54
    | ~ spl0_50 ),
    inference(contradiction_clause,[status(thm)],[f2932]) ).

fof(f2938,plain,
    ( e20 = e22
    | ~ spl0_104
    | ~ spl0_106 ),
    inference(forward_demodulation,[status(thm)],[f943,f949]) ).

fof(f2939,plain,
    ( $false
    | ~ spl0_104
    | ~ spl0_106 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2938,f219]) ).

fof(f2940,plain,
    ( ~ spl0_104
    | ~ spl0_106 ),
    inference(contradiction_clause,[status(thm)],[f2939]) ).

fof(f2941,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f649,f662,f727,f753,f766,f781,f784,f785,f786,f797,f802,f805,f863,f941,f993,f1006,f1021,f1025,f1034,f1036,f1041,f1047,f1054,f1055,f1056,f1057,f1060,f1064,f1065,f1075,f1077,f1078,f1083,f1088,f1089,f1389,f1549,f1569,f1589,f1765,f1783,f1804,f1823,f1845,f1848,f1853,f1875,f1902,f1944,f1953,f1956,f1961,f1962,f2010,f2032,f2059,f2066,f2071,f2073,f2075,f2077,f2083,f2090,f2101,f2104,f2123,f2127,f2142,f2150,f2152,f2157,f2158,f2171,f2188,f2197,f2248,f2251,f2256,f2259,f2271,f2280,f2291,f2330,f2344,f2369,f2371,f2376,f2385,f2422,f2454,f2464,f2469,f2475,f2478,f2487,f2506,f2574,f2579,f2588,f2593,f2647,f2654,f2662,f2667,f2716,f2727,f2803,f2806,f2810,f2858,f2862,f2904,f2912,f2919,f2933,f2940]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : ALG121+1 : TPTP v8.1.2. Released v2.7.0.
% 0.08/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n020.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 23:26:17 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.37  % Drodi V3.6.0
% 0.20/0.55  % Refutation found
% 0.20/0.55  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.55  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.56  % Elapsed time: 0.211126 seconds
% 0.20/0.56  % CPU time: 1.481131 seconds
% 0.20/0.56  % Total memory used: 40.849 MB
% 0.20/0.56  % Net memory used: 39.790 MB
%------------------------------------------------------------------------------