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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : ALG015+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 11:47:45 AM UTC 2026

% Result   : Theorem 1.22s 0.60s
% Output   : CNFRefutation 1.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  112
%            Number of leaves      :   66
% Syntax   : Number of formulae    :  571 ( 273 unt;  42 def)
%            Number of atoms       : 4418 (4008 equ)
%            Maximal formula atoms :  384 (   7 avg)
%            Number of connectives : 6246 (2399   ~;2614   |;1187   &)
%                                         (  46 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   64 (   6 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :   44 (  42 usr;  43 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

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

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

fof(f5,axiom,
    ( ( op2(e23,e23) = e23
      | op2(e23,e23) = e22
      | op2(e23,e23) = e21
      | op2(e23,e23) = e20 )
    & ( op2(e23,e22) = e23
      | op2(e23,e22) = e22
      | op2(e23,e22) = e21
      | op2(e23,e22) = e20 )
    & ( op2(e23,e21) = e23
      | op2(e23,e21) = e22
      | op2(e23,e21) = e21
      | op2(e23,e21) = e20 )
    & ( op2(e23,e20) = e23
      | op2(e23,e20) = e22
      | op2(e23,e20) = e21
      | op2(e23,e20) = e20 )
    & ( op2(e22,e23) = e23
      | op2(e22,e23) = e22
      | op2(e22,e23) = e21
      | op2(e22,e23) = e20 )
    & ( op2(e22,e22) = e23
      | op2(e22,e22) = e22
      | op2(e22,e22) = e21
      | op2(e22,e22) = e20 )
    & ( op2(e22,e21) = e23
      | op2(e22,e21) = e22
      | op2(e22,e21) = e21
      | op2(e22,e21) = e20 )
    & ( op2(e22,e20) = e23
      | op2(e22,e20) = e22
      | op2(e22,e20) = e21
      | op2(e22,e20) = e20 )
    & ( op2(e21,e23) = e23
      | op2(e21,e23) = e22
      | op2(e21,e23) = e21
      | op2(e21,e23) = e20 )
    & ( op2(e21,e22) = e23
      | op2(e21,e22) = e22
      | op2(e21,e22) = e21
      | op2(e21,e22) = e20 )
    & ( op2(e21,e21) = e23
      | op2(e21,e21) = e22
      | op2(e21,e21) = e21
      | op2(e21,e21) = e20 )
    & ( op2(e21,e20) = e23
      | op2(e21,e20) = e22
      | op2(e21,e20) = e21
      | op2(e21,e20) = e20 )
    & ( op2(e20,e23) = e23
      | op2(e20,e23) = e22
      | op2(e20,e23) = e21
      | op2(e20,e23) = e20 )
    & ( op2(e20,e22) = e23
      | op2(e20,e22) = e22
      | op2(e20,e22) = e21
      | op2(e20,e22) = e20 )
    & ( op2(e20,e21) = e23
      | op2(e20,e21) = e22
      | op2(e20,e21) = e21
      | op2(e20,e21) = e20 )
    & ( op2(e20,e20) = e23
      | op2(e20,e20) = e22
      | op2(e20,e20) = e21
      | op2(e20,e20) = e20 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f17,axiom,
    ( op1(e13,e12) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e13)
    & op1(e13,e11) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e13)
    & op1(e13,e10) != op1(e13,e12)
    & op1(e13,e10) != op1(e13,e11)
    & op1(e12,e12) != op1(e12,e13)
    & op1(e12,e11) != op1(e12,e13)
    & op1(e12,e11) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e13)
    & op1(e12,e10) != op1(e12,e12)
    & op1(e12,e10) != op1(e12,e11)
    & op1(e11,e12) != op1(e11,e13)
    & op1(e11,e11) != op1(e11,e13)
    & op1(e11,e11) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e13)
    & op1(e11,e10) != op1(e11,e12)
    & op1(e11,e10) != op1(e11,e11)
    & op1(e10,e12) != op1(e10,e13)
    & op1(e10,e11) != op1(e10,e13)
    & op1(e10,e11) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e13)
    & op1(e10,e10) != op1(e10,e12)
    & op1(e10,e10) != op1(e10,e11)
    & op1(e12,e13) != op1(e13,e13)
    & op1(e11,e13) != op1(e13,e13)
    & op1(e11,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e13,e13)
    & op1(e10,e13) != op1(e12,e13)
    & op1(e10,e13) != op1(e11,e13)
    & op1(e12,e12) != op1(e13,e12)
    & op1(e11,e12) != op1(e13,e12)
    & op1(e11,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e13,e12)
    & op1(e10,e12) != op1(e12,e12)
    & op1(e10,e12) != op1(e11,e12)
    & op1(e12,e11) != op1(e13,e11)
    & op1(e11,e11) != op1(e13,e11)
    & op1(e11,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e13,e11)
    & op1(e10,e11) != op1(e12,e11)
    & op1(e10,e11) != op1(e11,e11)
    & op1(e12,e10) != op1(e13,e10)
    & op1(e11,e10) != op1(e13,e10)
    & op1(e11,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e13,e10)
    & op1(e10,e10) != op1(e12,e10)
    & op1(e10,e10) != op1(e11,e10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    ( op2(e23,e22) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e23)
    & op2(e23,e21) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e23)
    & op2(e23,e20) != op2(e23,e22)
    & op2(e23,e20) != op2(e23,e21)
    & op2(e22,e22) != op2(e22,e23)
    & op2(e22,e21) != op2(e22,e23)
    & op2(e22,e21) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e23)
    & op2(e22,e20) != op2(e22,e22)
    & op2(e22,e20) != op2(e22,e21)
    & op2(e21,e22) != op2(e21,e23)
    & op2(e21,e21) != op2(e21,e23)
    & op2(e21,e21) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e23)
    & op2(e21,e20) != op2(e21,e22)
    & op2(e21,e20) != op2(e21,e21)
    & op2(e20,e22) != op2(e20,e23)
    & op2(e20,e21) != op2(e20,e23)
    & op2(e20,e21) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e23)
    & op2(e20,e20) != op2(e20,e22)
    & op2(e20,e20) != op2(e20,e21)
    & op2(e22,e23) != op2(e23,e23)
    & op2(e21,e23) != op2(e23,e23)
    & op2(e21,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e23,e23)
    & op2(e20,e23) != op2(e22,e23)
    & op2(e20,e23) != op2(e21,e23)
    & op2(e22,e22) != op2(e23,e22)
    & op2(e21,e22) != op2(e23,e22)
    & op2(e21,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e23,e22)
    & op2(e20,e22) != op2(e22,e22)
    & op2(e20,e22) != op2(e21,e22)
    & op2(e22,e21) != op2(e23,e21)
    & op2(e21,e21) != op2(e23,e21)
    & op2(e21,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e23,e21)
    & op2(e20,e21) != op2(e22,e21)
    & op2(e20,e21) != op2(e21,e21)
    & op2(e22,e20) != op2(e23,e20)
    & op2(e21,e20) != op2(e23,e20)
    & op2(e21,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e23,e20)
    & op2(e20,e20) != op2(e22,e20)
    & op2(e20,e20) != op2(e21,e20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    ( e12 != e13
    & e11 != e13
    & e11 != e12
    & e10 != e13
    & e10 != e12
    & e10 != e11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,axiom,
    ( e22 != e23
    & e21 != e23
    & e21 != e22
    & e20 != e23
    & e20 != e22
    & e20 != e21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,axiom,
    ( ( op1(e13,e13) = e13
      & op1(e12,e12) = e13
      & op1(e11,e11) = e13
      & op1(e10,e10) = e13 )
    | ( op1(e13,e13) = e12
      & op1(e12,e12) = e12
      & op1(e11,e11) = e12
      & op1(e10,e10) = e12 )
    | ( op1(e13,e13) = e11
      & op1(e12,e12) = e11
      & op1(e11,e11) = e11
      & op1(e10,e10) = e11 )
    | ( op1(e13,e13) = e10
      & op1(e12,e12) = e10
      & op1(e11,e11) = e10
      & op1(e10,e10) = e10 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,axiom,
    ( ( op2(e23,e23) = e23
      & op2(e22,e22) = e23
      & op2(e21,e21) = e23
      & op2(e20,e20) = e23 )
    | ( op2(e23,e23) = e22
      & op2(e22,e22) = e22
      & op2(e21,e21) = e22
      & op2(e20,e20) = e22 )
    | ( op2(e23,e23) = e21
      & op2(e22,e22) = e21
      & op2(e21,e21) = e21
      & op2(e20,e20) = e21 )
    | ( op2(e23,e23) = e20
      & op2(e22,e22) = e20
      & op2(e21,e21) = e20
      & op2(e20,e20) = e20 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,axiom,
    ( e11 = op1(e12,e13)
    & e10 = op1(e13,e13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f25,axiom,
    ( e21 = op2(e22,e23)
    & e20 = op2(e23,e23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,axiom,
    ( h1(e11) = op2(e20,e21)
    & h1(e10) = op2(e21,e21)
    & h1(e13) = e21
    & h1(e12) = e20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,axiom,
    ( h2(e11) = op2(e20,e22)
    & h2(e10) = op2(e22,e22)
    & h2(e13) = e22
    & h2(e12) = e20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,axiom,
    ( h3(e11) = op2(e20,e23)
    & h3(e10) = op2(e23,e23)
    & h3(e13) = e23
    & h3(e12) = e20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f29,axiom,
    ( h4(e11) = op2(e21,e20)
    & h4(e10) = op2(e20,e20)
    & h4(e13) = e20
    & h4(e12) = e21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f30,axiom,
    ( h5(e11) = op2(e21,e22)
    & h5(e10) = op2(e22,e22)
    & h5(e13) = e22
    & h5(e12) = e21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f31,axiom,
    ( h6(e11) = op2(e21,e23)
    & h6(e10) = op2(e23,e23)
    & h6(e13) = e23
    & h6(e12) = e21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f32,axiom,
    ( h7(e11) = op2(e22,e20)
    & h7(e10) = op2(e20,e20)
    & h7(e13) = e20
    & h7(e12) = e22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,axiom,
    ( h8(e11) = op2(e22,e21)
    & h8(e10) = op2(e21,e21)
    & h8(e13) = e21
    & h8(e12) = e22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f35,axiom,
    ( h10(e11) = op2(e23,e20)
    & h10(e10) = op2(e20,e20)
    & h10(e13) = e20
    & h10(e12) = e23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f36,axiom,
    ( h11(e11) = op2(e23,e21)
    & h11(e10) = op2(e21,e21)
    & h11(e13) = e21
    & h11(e12) = e23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f37,axiom,
    ( h12(e11) = op2(e23,e22)
    & h12(e10) = op2(e22,e22)
    & h12(e13) = e22
    & h12(e12) = e23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f38,conjecture,
    ( ( ( h12(e13) = e23
        | h12(e12) = e23
        | h12(e11) = e23
        | h12(e10) = e23 )
      & ( h12(e13) = e22
        | h12(e12) = e22
        | h12(e11) = e22
        | h12(e10) = e22 )
      & ( h12(e13) = e21
        | h12(e12) = e21
        | h12(e11) = e21
        | h12(e10) = e21 )
      & ( h12(e13) = e20
        | h12(e12) = e20
        | h12(e11) = e20
        | h12(e10) = e20 )
      & h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
      & h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
      & h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
      & h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
      & h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
      & h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
      & h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
      & h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
      & h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
      & h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
      & h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
      & h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
      & h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
      & h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
      & h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
      & h12(op1(e10,e10)) = op2(h12(e10),h12(e10)) )
    | ( ( h11(e13) = e23
        | h11(e12) = e23
        | h11(e11) = e23
        | h11(e10) = e23 )
      & ( h11(e13) = e22
        | h11(e12) = e22
        | h11(e11) = e22
        | h11(e10) = e22 )
      & ( h11(e13) = e21
        | h11(e12) = e21
        | h11(e11) = e21
        | h11(e10) = e21 )
      & ( h11(e13) = e20
        | h11(e12) = e20
        | h11(e11) = e20
        | h11(e10) = e20 )
      & h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
      & h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
      & h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
      & h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
      & h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
      & h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
      & h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
      & h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
      & h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
      & h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
      & h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
      & h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
      & h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
      & h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
      & h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
      & h11(op1(e10,e10)) = op2(h11(e10),h11(e10)) )
    | ( ( h10(e13) = e23
        | h10(e12) = e23
        | h10(e11) = e23
        | h10(e10) = e23 )
      & ( h10(e13) = e22
        | h10(e12) = e22
        | h10(e11) = e22
        | h10(e10) = e22 )
      & ( h10(e13) = e21
        | h10(e12) = e21
        | h10(e11) = e21
        | h10(e10) = e21 )
      & ( h10(e13) = e20
        | h10(e12) = e20
        | h10(e11) = e20
        | h10(e10) = e20 )
      & h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
      & h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
      & h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
      & h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
      & h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
      & h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
      & h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
      & h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
      & h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
      & h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
      & h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
      & h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
      & h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
      & h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
      & h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
      & h10(op1(e10,e10)) = op2(h10(e10),h10(e10)) )
    | ( ( h9(e13) = e23
        | h9(e12) = e23
        | h9(e11) = e23
        | h9(e10) = e23 )
      & ( h9(e13) = e22
        | h9(e12) = e22
        | h9(e11) = e22
        | h9(e10) = e22 )
      & ( h9(e13) = e21
        | h9(e12) = e21
        | h9(e11) = e21
        | h9(e10) = e21 )
      & ( h9(e13) = e20
        | h9(e12) = e20
        | h9(e11) = e20
        | h9(e10) = e20 )
      & h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
      & h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
      & h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
      & h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
      & h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
      & h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
      & h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
      & h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
      & h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
      & h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
      & h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
      & h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
      & h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
      & h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
      & h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
      & h9(op1(e10,e10)) = op2(h9(e10),h9(e10)) )
    | ( ( h8(e13) = e23
        | h8(e12) = e23
        | h8(e11) = e23
        | h8(e10) = e23 )
      & ( h8(e13) = e22
        | h8(e12) = e22
        | h8(e11) = e22
        | h8(e10) = e22 )
      & ( h8(e13) = e21
        | h8(e12) = e21
        | h8(e11) = e21
        | h8(e10) = e21 )
      & ( h8(e13) = e20
        | h8(e12) = e20
        | h8(e11) = e20
        | h8(e10) = e20 )
      & h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
      & h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
      & h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
      & h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
      & h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
      & h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
      & h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
      & h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
      & h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
      & h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
      & h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
      & h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
      & h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
      & h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
      & h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
      & h8(op1(e10,e10)) = op2(h8(e10),h8(e10)) )
    | ( ( h7(e13) = e23
        | h7(e12) = e23
        | h7(e11) = e23
        | h7(e10) = e23 )
      & ( h7(e13) = e22
        | h7(e12) = e22
        | h7(e11) = e22
        | h7(e10) = e22 )
      & ( h7(e13) = e21
        | h7(e12) = e21
        | h7(e11) = e21
        | h7(e10) = e21 )
      & ( h7(e13) = e20
        | h7(e12) = e20
        | h7(e11) = e20
        | h7(e10) = e20 )
      & h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
      & h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
      & h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
      & h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
      & h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
      & h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
      & h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
      & h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
      & h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
      & h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
      & h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
      & h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
      & h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
      & h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
      & h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
      & h7(op1(e10,e10)) = op2(h7(e10),h7(e10)) )
    | ( ( h6(e13) = e23
        | h6(e12) = e23
        | h6(e11) = e23
        | h6(e10) = e23 )
      & ( h6(e13) = e22
        | h6(e12) = e22
        | h6(e11) = e22
        | h6(e10) = e22 )
      & ( h6(e13) = e21
        | h6(e12) = e21
        | h6(e11) = e21
        | h6(e10) = e21 )
      & ( h6(e13) = e20
        | h6(e12) = e20
        | h6(e11) = e20
        | h6(e10) = e20 )
      & h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
      & h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
      & h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
      & h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
      & h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
      & h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
      & h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
      & h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
      & h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
      & h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
      & h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
      & h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
      & h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
      & h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
      & h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
      & h6(op1(e10,e10)) = op2(h6(e10),h6(e10)) )
    | ( ( h5(e13) = e23
        | h5(e12) = e23
        | h5(e11) = e23
        | h5(e10) = e23 )
      & ( h5(e13) = e22
        | h5(e12) = e22
        | h5(e11) = e22
        | h5(e10) = e22 )
      & ( h5(e13) = e21
        | h5(e12) = e21
        | h5(e11) = e21
        | h5(e10) = e21 )
      & ( h5(e13) = e20
        | h5(e12) = e20
        | h5(e11) = e20
        | h5(e10) = e20 )
      & h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
      & h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
      & h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
      & h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
      & h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
      & h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
      & h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
      & h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
      & h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
      & h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
      & h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
      & h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
      & h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
      & h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
      & h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
      & h5(op1(e10,e10)) = op2(h5(e10),h5(e10)) )
    | ( ( h4(e13) = e23
        | h4(e12) = e23
        | h4(e11) = e23
        | h4(e10) = e23 )
      & ( h4(e13) = e22
        | h4(e12) = e22
        | h4(e11) = e22
        | h4(e10) = e22 )
      & ( h4(e13) = e21
        | h4(e12) = e21
        | h4(e11) = e21
        | h4(e10) = e21 )
      & ( h4(e13) = e20
        | h4(e12) = e20
        | h4(e11) = e20
        | h4(e10) = e20 )
      & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
      & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
      & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
      & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
      & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
      & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
      & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
      & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
      & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
      & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
      & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
      & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
      & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
      & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
      & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
      & h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
    | ( ( h3(e13) = e23
        | h3(e12) = e23
        | h3(e11) = e23
        | h3(e10) = e23 )
      & ( h3(e13) = e22
        | h3(e12) = e22
        | h3(e11) = e22
        | h3(e10) = e22 )
      & ( h3(e13) = e21
        | h3(e12) = e21
        | h3(e11) = e21
        | h3(e10) = e21 )
      & ( h3(e13) = e20
        | h3(e12) = e20
        | h3(e11) = e20
        | h3(e10) = e20 )
      & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
      & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
      & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
      & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
      & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
      & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
      & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
      & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
      & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
      & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
      & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
      & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
      & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
      & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
      & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
      & h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
    | ( ( h2(e13) = e23
        | h2(e12) = e23
        | h2(e11) = e23
        | h2(e10) = e23 )
      & ( h2(e13) = e22
        | h2(e12) = e22
        | h2(e11) = e22
        | h2(e10) = e22 )
      & ( h2(e13) = e21
        | h2(e12) = e21
        | h2(e11) = e21
        | h2(e10) = e21 )
      & ( h2(e13) = e20
        | h2(e12) = e20
        | h2(e11) = e20
        | h2(e10) = e20 )
      & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
      & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
      & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
      & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
      & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
      & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
      & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
      & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
      & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
      & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
      & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
      & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
      & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
      & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
      & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
      & h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
    | ( ( h1(e13) = e23
        | h1(e12) = e23
        | h1(e11) = e23
        | h1(e10) = e23 )
      & ( h1(e13) = e22
        | h1(e12) = e22
        | h1(e11) = e22
        | h1(e10) = e22 )
      & ( h1(e13) = e21
        | h1(e12) = e21
        | h1(e11) = e21
        | h1(e10) = e21 )
      & ( h1(e13) = e20
        | h1(e12) = e20
        | h1(e11) = e20
        | h1(e10) = e20 )
      & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
      & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
      & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
      & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
      & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
      & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
      & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
      & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
      & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
      & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
      & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
      & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
      & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
      & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
      & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
      & h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f39,negated_conjecture,
    ~ ( ( ( h12(e13) = e23
          | h12(e12) = e23
          | h12(e11) = e23
          | h12(e10) = e23 )
        & ( h12(e13) = e22
          | h12(e12) = e22
          | h12(e11) = e22
          | h12(e10) = e22 )
        & ( h12(e13) = e21
          | h12(e12) = e21
          | h12(e11) = e21
          | h12(e10) = e21 )
        & ( h12(e13) = e20
          | h12(e12) = e20
          | h12(e11) = e20
          | h12(e10) = e20 )
        & h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
        & h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
        & h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
        & h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
        & h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
        & h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
        & h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
        & h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
        & h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
        & h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
        & h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
        & h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
        & h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
        & h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
        & h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
        & h12(op1(e10,e10)) = op2(h12(e10),h12(e10)) )
      | ( ( h11(e13) = e23
          | h11(e12) = e23
          | h11(e11) = e23
          | h11(e10) = e23 )
        & ( h11(e13) = e22
          | h11(e12) = e22
          | h11(e11) = e22
          | h11(e10) = e22 )
        & ( h11(e13) = e21
          | h11(e12) = e21
          | h11(e11) = e21
          | h11(e10) = e21 )
        & ( h11(e13) = e20
          | h11(e12) = e20
          | h11(e11) = e20
          | h11(e10) = e20 )
        & h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
        & h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
        & h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
        & h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
        & h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
        & h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
        & h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
        & h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
        & h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
        & h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
        & h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
        & h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
        & h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
        & h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
        & h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
        & h11(op1(e10,e10)) = op2(h11(e10),h11(e10)) )
      | ( ( h10(e13) = e23
          | h10(e12) = e23
          | h10(e11) = e23
          | h10(e10) = e23 )
        & ( h10(e13) = e22
          | h10(e12) = e22
          | h10(e11) = e22
          | h10(e10) = e22 )
        & ( h10(e13) = e21
          | h10(e12) = e21
          | h10(e11) = e21
          | h10(e10) = e21 )
        & ( h10(e13) = e20
          | h10(e12) = e20
          | h10(e11) = e20
          | h10(e10) = e20 )
        & h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
        & h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
        & h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
        & h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
        & h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
        & h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
        & h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
        & h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
        & h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
        & h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
        & h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
        & h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
        & h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
        & h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
        & h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
        & h10(op1(e10,e10)) = op2(h10(e10),h10(e10)) )
      | ( ( h9(e13) = e23
          | h9(e12) = e23
          | h9(e11) = e23
          | h9(e10) = e23 )
        & ( h9(e13) = e22
          | h9(e12) = e22
          | h9(e11) = e22
          | h9(e10) = e22 )
        & ( h9(e13) = e21
          | h9(e12) = e21
          | h9(e11) = e21
          | h9(e10) = e21 )
        & ( h9(e13) = e20
          | h9(e12) = e20
          | h9(e11) = e20
          | h9(e10) = e20 )
        & h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
        & h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
        & h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
        & h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
        & h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
        & h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
        & h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
        & h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
        & h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
        & h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
        & h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
        & h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
        & h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
        & h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
        & h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
        & h9(op1(e10,e10)) = op2(h9(e10),h9(e10)) )
      | ( ( h8(e13) = e23
          | h8(e12) = e23
          | h8(e11) = e23
          | h8(e10) = e23 )
        & ( h8(e13) = e22
          | h8(e12) = e22
          | h8(e11) = e22
          | h8(e10) = e22 )
        & ( h8(e13) = e21
          | h8(e12) = e21
          | h8(e11) = e21
          | h8(e10) = e21 )
        & ( h8(e13) = e20
          | h8(e12) = e20
          | h8(e11) = e20
          | h8(e10) = e20 )
        & h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
        & h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
        & h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
        & h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
        & h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
        & h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
        & h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
        & h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
        & h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
        & h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
        & h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
        & h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
        & h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
        & h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
        & h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
        & h8(op1(e10,e10)) = op2(h8(e10),h8(e10)) )
      | ( ( h7(e13) = e23
          | h7(e12) = e23
          | h7(e11) = e23
          | h7(e10) = e23 )
        & ( h7(e13) = e22
          | h7(e12) = e22
          | h7(e11) = e22
          | h7(e10) = e22 )
        & ( h7(e13) = e21
          | h7(e12) = e21
          | h7(e11) = e21
          | h7(e10) = e21 )
        & ( h7(e13) = e20
          | h7(e12) = e20
          | h7(e11) = e20
          | h7(e10) = e20 )
        & h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
        & h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
        & h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
        & h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
        & h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
        & h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
        & h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
        & h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
        & h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
        & h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
        & h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
        & h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
        & h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
        & h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
        & h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
        & h7(op1(e10,e10)) = op2(h7(e10),h7(e10)) )
      | ( ( h6(e13) = e23
          | h6(e12) = e23
          | h6(e11) = e23
          | h6(e10) = e23 )
        & ( h6(e13) = e22
          | h6(e12) = e22
          | h6(e11) = e22
          | h6(e10) = e22 )
        & ( h6(e13) = e21
          | h6(e12) = e21
          | h6(e11) = e21
          | h6(e10) = e21 )
        & ( h6(e13) = e20
          | h6(e12) = e20
          | h6(e11) = e20
          | h6(e10) = e20 )
        & h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
        & h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
        & h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
        & h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
        & h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
        & h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
        & h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
        & h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
        & h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
        & h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
        & h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
        & h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
        & h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
        & h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
        & h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
        & h6(op1(e10,e10)) = op2(h6(e10),h6(e10)) )
      | ( ( h5(e13) = e23
          | h5(e12) = e23
          | h5(e11) = e23
          | h5(e10) = e23 )
        & ( h5(e13) = e22
          | h5(e12) = e22
          | h5(e11) = e22
          | h5(e10) = e22 )
        & ( h5(e13) = e21
          | h5(e12) = e21
          | h5(e11) = e21
          | h5(e10) = e21 )
        & ( h5(e13) = e20
          | h5(e12) = e20
          | h5(e11) = e20
          | h5(e10) = e20 )
        & h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
        & h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
        & h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
        & h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
        & h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
        & h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
        & h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
        & h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
        & h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
        & h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
        & h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
        & h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
        & h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
        & h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
        & h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
        & h5(op1(e10,e10)) = op2(h5(e10),h5(e10)) )
      | ( ( h4(e13) = e23
          | h4(e12) = e23
          | h4(e11) = e23
          | h4(e10) = e23 )
        & ( h4(e13) = e22
          | h4(e12) = e22
          | h4(e11) = e22
          | h4(e10) = e22 )
        & ( h4(e13) = e21
          | h4(e12) = e21
          | h4(e11) = e21
          | h4(e10) = e21 )
        & ( h4(e13) = e20
          | h4(e12) = e20
          | h4(e11) = e20
          | h4(e10) = e20 )
        & h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
        & h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
        & h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
        & h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
        & h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
        & h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
        & h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
        & h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
        & h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
        & h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
        & h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
        & h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
        & h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
        & h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
        & h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
        & h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
      | ( ( h3(e13) = e23
          | h3(e12) = e23
          | h3(e11) = e23
          | h3(e10) = e23 )
        & ( h3(e13) = e22
          | h3(e12) = e22
          | h3(e11) = e22
          | h3(e10) = e22 )
        & ( h3(e13) = e21
          | h3(e12) = e21
          | h3(e11) = e21
          | h3(e10) = e21 )
        & ( h3(e13) = e20
          | h3(e12) = e20
          | h3(e11) = e20
          | h3(e10) = e20 )
        & h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
        & h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
        & h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
        & h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
        & h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
        & h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
        & h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
        & h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
        & h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
        & h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
        & h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
        & h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
        & h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
        & h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
        & h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
        & h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
      | ( ( h2(e13) = e23
          | h2(e12) = e23
          | h2(e11) = e23
          | h2(e10) = e23 )
        & ( h2(e13) = e22
          | h2(e12) = e22
          | h2(e11) = e22
          | h2(e10) = e22 )
        & ( h2(e13) = e21
          | h2(e12) = e21
          | h2(e11) = e21
          | h2(e10) = e21 )
        & ( h2(e13) = e20
          | h2(e12) = e20
          | h2(e11) = e20
          | h2(e10) = e20 )
        & h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
        & h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
        & h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
        & h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
        & h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
        & h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
        & h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
        & h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
        & h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
        & h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
        & h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
        & h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
        & h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
        & h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
        & h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
        & h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
      | ( ( h1(e13) = e23
          | h1(e12) = e23
          | h1(e11) = e23
          | h1(e10) = e23 )
        & ( h1(e13) = e22
          | h1(e12) = e22
          | h1(e11) = e22
          | h1(e10) = e22 )
        & ( h1(e13) = e21
          | h1(e12) = e21
          | h1(e11) = e21
          | h1(e10) = e21 )
        & ( h1(e13) = e20
          | h1(e12) = e20
          | h1(e11) = e20
          | h1(e10) = e20 )
        & h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
        & h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
        & h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
        & h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
        & h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
        & h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
        & h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
        & h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
        & h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
        & h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
        & h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
        & h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
        & h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
        & h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
        & h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
        & h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
    inference(negated_conjecture,[status(cth)],[f38]) ).

fof(f43,plain,
    ( op1(e10,e13) = e13
    | op1(e10,e13) = e12
    | op1(e10,e13) = e11
    | op1(e10,e13) = e10 ),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f47,plain,
    ( op1(e11,e13) = e13
    | op1(e11,e13) = e12
    | op1(e11,e13) = e11
    | op1(e11,e13) = e10 ),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f54,plain,
    ( op1(e13,e12) = e13
    | op1(e13,e12) = e12
    | op1(e13,e12) = e11
    | op1(e13,e12) = e10 ),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f64,plain,
    op1(op1(e10,e12),e10) = op1(e10,op1(e12,e10)),
    inference(cnf_transformation,[status(thm)],[f2]) ).

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

fof(f77,plain,
    op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f84,plain,
    op1(op1(e11,e13),e10) = op1(e11,op1(e13,e10)),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f86,plain,
    op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12)),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f88,plain,
    op1(op1(e12,e10),e10) = op1(e12,op1(e10,e10)),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f90,plain,
    op1(op1(e12,e10),e12) = op1(e12,op1(e10,e12)),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f96,plain,
    op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10)),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f98,plain,
    op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f99,plain,
    op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f103,plain,
    op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f114,plain,
    op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f115,plain,
    op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13)),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f119,plain,
    op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f144,plain,
    ( op2(e20,e23) = e23
    | op2(e20,e23) = e22
    | op2(e20,e23) = e21
    | op2(e20,e23) = e20 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f148,plain,
    ( op2(e21,e23) = e23
    | op2(e21,e23) = e22
    | op2(e21,e23) = e21
    | op2(e21,e23) = e20 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f154,plain,
    ( op2(e23,e21) = e23
    | op2(e23,e21) = e22
    | op2(e23,e21) = e21
    | op2(e23,e21) = e20 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f155,plain,
    ( op2(e23,e22) = e23
    | op2(e23,e22) = e22
    | op2(e23,e22) = e21
    | op2(e23,e22) = e20 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f158,plain,
    op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21)),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f159,plain,
    op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22)),
    inference(cnf_transformation,[status(thm)],[f6]) ).

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

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

fof(f190,plain,
    op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21)),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f198,plain,
    op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21)),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f199,plain,
    op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f200,plain,
    op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f203,plain,
    op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22)),
    inference(cnf_transformation,[status(thm)],[f6]) ).

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

fof(f210,plain,
    op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f213,plain,
    op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20)),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f215,plain,
    op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f216,plain,
    op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23)),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f218,plain,
    op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21)),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f219,plain,
    op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f220,plain,
    op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f311,plain,
    op1(e10,e12) != op1(e12,e12),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f312,plain,
    op1(e10,e12) != op1(e13,e12),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f317,plain,
    op1(e10,e13) != op1(e12,e13),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f318,plain,
    op1(e10,e13) != op1(e13,e13),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f319,plain,
    op1(e11,e13) != op1(e12,e13),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f327,plain,
    op1(e10,e12) != op1(e10,e13),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f338,plain,
    op1(e12,e11) != op1(e12,e13),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f339,plain,
    op1(e12,e12) != op1(e12,e13),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f345,plain,
    op1(e13,e12) != op1(e13,e13),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f354,plain,
    op2(e20,e21) != op2(e23,e21),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f359,plain,
    op2(e20,e22) != op2(e22,e22),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f360,plain,
    op2(e20,e22) != op2(e23,e22),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f365,plain,
    op2(e20,e23) != op2(e22,e23),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f366,plain,
    op2(e20,e23) != op2(e23,e23),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f367,plain,
    op2(e21,e23) != op2(e22,e23),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f375,plain,
    op2(e20,e22) != op2(e20,e23),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f386,plain,
    op2(e22,e21) != op2(e22,e23),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f387,plain,
    op2(e22,e22) != op2(e22,e23),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f388,plain,
    op2(e23,e20) != op2(e23,e21),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f389,plain,
    op2(e23,e20) != op2(e23,e22),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f392,plain,
    op2(e23,e21) != op2(e23,e23),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f393,plain,
    op2(e23,e22) != op2(e23,e23),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f395,plain,
    e10 != e12,
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f396,plain,
    e10 != e13,
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f400,plain,
    e20 != e21,
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f401,plain,
    e20 != e22,
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f402,plain,
    e20 != e23,
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f403,plain,
    e21 != e22,
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f405,plain,
    e22 != e23,
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f422,definition,
    ( sP0_prd
  <=> ( ( op1(e13,e13) = e12
        & op1(e12,e12) = e12
        & op1(e11,e11) = e12
        & op1(e10,e10) = e12 )
      | ( op1(e13,e13) = e11
        & op1(e12,e12) = e11
        & op1(e11,e11) = e11
        & op1(e10,e10) = e11 )
      | ( op1(e13,e13) = e10
        & op1(e12,e12) = e10
        & op1(e11,e11) = e10
        & op1(e10,e10) = e10 ) ) ),
    introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).

fof(f423,plain,
    ( ( op1(e13,e13) = e13
      & op1(e12,e12) = e13
      & op1(e11,e11) = e13
      & op1(e10,e10) = e13 )
    | sP0_prd ),
    inference(formula_renaming,[status(thm)],[f22,f422]) ).

fof(f427,plain,
    ( op1(e13,e13) = e13
    | sP0_prd ),
    inference(cnf_transformation,[status(thm)],[f423]) ).

fof(f428,definition,
    ( sP1_prd
  <=> ( ( op2(e23,e23) = e22
        & op2(e22,e22) = e22
        & op2(e21,e21) = e22
        & op2(e20,e20) = e22 )
      | ( op2(e23,e23) = e21
        & op2(e22,e22) = e21
        & op2(e21,e21) = e21
        & op2(e20,e20) = e21 )
      | ( op2(e23,e23) = e20
        & op2(e22,e22) = e20
        & op2(e21,e21) = e20
        & op2(e20,e20) = e20 ) ) ),
    introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).

fof(f429,plain,
    ( ( op2(e23,e23) = e23
      & op2(e22,e22) = e23
      & op2(e21,e21) = e23
      & op2(e20,e20) = e23 )
    | sP1_prd ),
    inference(formula_renaming,[status(thm)],[f23,f428]) ).

fof(f433,plain,
    ( op2(e23,e23) = e23
    | sP1_prd ),
    inference(cnf_transformation,[status(thm)],[f429]) ).

fof(f434,plain,
    e10 = op1(e13,e13),
    inference(cnf_transformation,[status(thm)],[f24]) ).

fof(f435,plain,
    e11 = op1(e12,e13),
    inference(cnf_transformation,[status(thm)],[f24]) ).

fof(f436,plain,
    e20 = op2(e23,e23),
    inference(cnf_transformation,[status(thm)],[f25]) ).

fof(f437,plain,
    e21 = op2(e22,e23),
    inference(cnf_transformation,[status(thm)],[f25]) ).

fof(f440,plain,
    h1(e10) = op2(e21,e21),
    inference(cnf_transformation,[status(thm)],[f26]) ).

fof(f441,plain,
    h1(e11) = op2(e20,e21),
    inference(cnf_transformation,[status(thm)],[f26]) ).

fof(f444,plain,
    h2(e10) = op2(e22,e22),
    inference(cnf_transformation,[status(thm)],[f27]) ).

fof(f445,plain,
    h2(e11) = op2(e20,e22),
    inference(cnf_transformation,[status(thm)],[f27]) ).

fof(f446,plain,
    h3(e12) = e20,
    inference(cnf_transformation,[status(thm)],[f28]) ).

fof(f447,plain,
    h3(e13) = e23,
    inference(cnf_transformation,[status(thm)],[f28]) ).

fof(f448,plain,
    h3(e10) = op2(e23,e23),
    inference(cnf_transformation,[status(thm)],[f28]) ).

fof(f449,plain,
    h3(e11) = op2(e20,e23),
    inference(cnf_transformation,[status(thm)],[f28]) ).

fof(f452,plain,
    h4(e10) = op2(e20,e20),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f457,plain,
    h5(e11) = op2(e21,e22),
    inference(cnf_transformation,[status(thm)],[f30]) ).

fof(f461,plain,
    h6(e11) = op2(e21,e23),
    inference(cnf_transformation,[status(thm)],[f31]) ).

fof(f465,plain,
    h7(e11) = op2(e22,e20),
    inference(cnf_transformation,[status(thm)],[f32]) ).

fof(f469,plain,
    h8(e11) = op2(e22,e21),
    inference(cnf_transformation,[status(thm)],[f33]) ).

fof(f477,plain,
    h10(e11) = op2(e23,e20),
    inference(cnf_transformation,[status(thm)],[f35]) ).

fof(f478,plain,
    h11(e12) = e23,
    inference(cnf_transformation,[status(thm)],[f36]) ).

fof(f479,plain,
    h11(e13) = e21,
    inference(cnf_transformation,[status(thm)],[f36]) ).

fof(f480,plain,
    h11(e10) = op2(e21,e21),
    inference(cnf_transformation,[status(thm)],[f36]) ).

fof(f481,plain,
    h11(e11) = op2(e23,e21),
    inference(cnf_transformation,[status(thm)],[f36]) ).

fof(f482,plain,
    h12(e12) = e23,
    inference(cnf_transformation,[status(thm)],[f37]) ).

fof(f483,plain,
    h12(e13) = e22,
    inference(cnf_transformation,[status(thm)],[f37]) ).

fof(f484,plain,
    h12(e10) = op2(e22,e22),
    inference(cnf_transformation,[status(thm)],[f37]) ).

fof(f485,plain,
    h12(e11) = op2(e23,e22),
    inference(cnf_transformation,[status(thm)],[f37]) ).

fof(f486,plain,
    ( ( ( h12(e13) != e23
        & h12(e12) != e23
        & h12(e11) != e23
        & h12(e10) != e23 )
      | ( h12(e13) != e22
        & h12(e12) != e22
        & h12(e11) != e22
        & h12(e10) != e22 )
      | ( h12(e13) != e21
        & h12(e12) != e21
        & h12(e11) != e21
        & h12(e10) != e21 )
      | ( h12(e13) != e20
        & h12(e12) != e20
        & h12(e11) != e20
        & h12(e10) != e20 )
      | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
      | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
      | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
      | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
      | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
      | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
      | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
      | h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
      | h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
      | h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
      | h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
      | h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
      | h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
      | h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
      | h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
      | h12(op1(e10,e10)) != op2(h12(e10),h12(e10)) )
    & ( ( h11(e13) != e23
        & h11(e12) != e23
        & h11(e11) != e23
        & h11(e10) != e23 )
      | ( h11(e13) != e22
        & h11(e12) != e22
        & h11(e11) != e22
        & h11(e10) != e22 )
      | ( h11(e13) != e21
        & h11(e12) != e21
        & h11(e11) != e21
        & h11(e10) != e21 )
      | ( h11(e13) != e20
        & h11(e12) != e20
        & h11(e11) != e20
        & h11(e10) != e20 )
      | h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
      | h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
      | h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
      | h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
      | h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
      | h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
      | h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
      | h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
      | h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
      | h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
      | h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
      | h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
      | h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
      | h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
      | h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
      | h11(op1(e10,e10)) != op2(h11(e10),h11(e10)) )
    & ( ( h10(e13) != e23
        & h10(e12) != e23
        & h10(e11) != e23
        & h10(e10) != e23 )
      | ( h10(e13) != e22
        & h10(e12) != e22
        & h10(e11) != e22
        & h10(e10) != e22 )
      | ( h10(e13) != e21
        & h10(e12) != e21
        & h10(e11) != e21
        & h10(e10) != e21 )
      | ( h10(e13) != e20
        & h10(e12) != e20
        & h10(e11) != e20
        & h10(e10) != e20 )
      | h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
      | h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
      | h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
      | h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
      | h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
      | h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
      | h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
      | h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
      | h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
      | h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
      | h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
      | h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
      | h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
      | h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
      | h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
      | h10(op1(e10,e10)) != op2(h10(e10),h10(e10)) )
    & ( ( h9(e13) != e23
        & h9(e12) != e23
        & h9(e11) != e23
        & h9(e10) != e23 )
      | ( h9(e13) != e22
        & h9(e12) != e22
        & h9(e11) != e22
        & h9(e10) != e22 )
      | ( h9(e13) != e21
        & h9(e12) != e21
        & h9(e11) != e21
        & h9(e10) != e21 )
      | ( h9(e13) != e20
        & h9(e12) != e20
        & h9(e11) != e20
        & h9(e10) != e20 )
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) )
    & ( ( h8(e13) != e23
        & h8(e12) != e23
        & h8(e11) != e23
        & h8(e10) != e23 )
      | ( h8(e13) != e22
        & h8(e12) != e22
        & h8(e11) != e22
        & h8(e10) != e22 )
      | ( h8(e13) != e21
        & h8(e12) != e21
        & h8(e11) != e21
        & h8(e10) != e21 )
      | ( h8(e13) != e20
        & h8(e12) != e20
        & h8(e11) != e20
        & h8(e10) != e20 )
      | h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
      | h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
      | h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
      | h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
      | h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
      | h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
      | h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
      | h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
      | h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
      | h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
      | h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
      | h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
      | h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
      | h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
      | h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
      | h8(op1(e10,e10)) != op2(h8(e10),h8(e10)) )
    & ( ( h7(e13) != e23
        & h7(e12) != e23
        & h7(e11) != e23
        & h7(e10) != e23 )
      | ( h7(e13) != e22
        & h7(e12) != e22
        & h7(e11) != e22
        & h7(e10) != e22 )
      | ( h7(e13) != e21
        & h7(e12) != e21
        & h7(e11) != e21
        & h7(e10) != e21 )
      | ( h7(e13) != e20
        & h7(e12) != e20
        & h7(e11) != e20
        & h7(e10) != e20 )
      | h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
      | h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
      | h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
      | h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
      | h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
      | h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
      | h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
      | h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
      | h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
      | h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
      | h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
      | h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
      | h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
      | h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
      | h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
      | h7(op1(e10,e10)) != op2(h7(e10),h7(e10)) )
    & ( ( h6(e13) != e23
        & h6(e12) != e23
        & h6(e11) != e23
        & h6(e10) != e23 )
      | ( h6(e13) != e22
        & h6(e12) != e22
        & h6(e11) != e22
        & h6(e10) != e22 )
      | ( h6(e13) != e21
        & h6(e12) != e21
        & h6(e11) != e21
        & h6(e10) != e21 )
      | ( h6(e13) != e20
        & h6(e12) != e20
        & h6(e11) != e20
        & h6(e10) != e20 )
      | h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
      | h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
      | h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
      | h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
      | h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
      | h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
      | h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
      | h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
      | h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
      | h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
      | h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
      | h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
      | h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
      | h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
      | h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
      | h6(op1(e10,e10)) != op2(h6(e10),h6(e10)) )
    & ( ( h5(e13) != e23
        & h5(e12) != e23
        & h5(e11) != e23
        & h5(e10) != e23 )
      | ( h5(e13) != e22
        & h5(e12) != e22
        & h5(e11) != e22
        & h5(e10) != e22 )
      | ( h5(e13) != e21
        & h5(e12) != e21
        & h5(e11) != e21
        & h5(e10) != e21 )
      | ( h5(e13) != e20
        & h5(e12) != e20
        & h5(e11) != e20
        & h5(e10) != e20 )
      | h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
      | h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
      | h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
      | h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
      | h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
      | h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
      | h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
      | h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
      | h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
      | h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
      | h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
      | h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
      | h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
      | h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
      | h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
      | h5(op1(e10,e10)) != op2(h5(e10),h5(e10)) )
    & ( ( h4(e13) != e23
        & h4(e12) != e23
        & h4(e11) != e23
        & h4(e10) != e23 )
      | ( h4(e13) != e22
        & h4(e12) != e22
        & h4(e11) != e22
        & h4(e10) != e22 )
      | ( h4(e13) != e21
        & h4(e12) != e21
        & h4(e11) != e21
        & h4(e10) != e21 )
      | ( h4(e13) != e20
        & h4(e12) != e20
        & h4(e11) != e20
        & h4(e10) != e20 )
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
    & ( ( h3(e13) != e23
        & h3(e12) != e23
        & h3(e11) != e23
        & h3(e10) != e23 )
      | ( h3(e13) != e22
        & h3(e12) != e22
        & h3(e11) != e22
        & h3(e10) != e22 )
      | ( h3(e13) != e21
        & h3(e12) != e21
        & h3(e11) != e21
        & h3(e10) != e21 )
      | ( h3(e13) != e20
        & h3(e12) != e20
        & h3(e11) != e20
        & h3(e10) != e20 )
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
    & ( ( h2(e13) != e23
        & h2(e12) != e23
        & h2(e11) != e23
        & h2(e10) != e23 )
      | ( h2(e13) != e22
        & h2(e12) != e22
        & h2(e11) != e22
        & h2(e10) != e22 )
      | ( h2(e13) != e21
        & h2(e12) != e21
        & h2(e11) != e21
        & h2(e10) != e21 )
      | ( h2(e13) != e20
        & h2(e12) != e20
        & h2(e11) != e20
        & h2(e10) != e20 )
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
    & ( ( h1(e13) != e23
        & h1(e12) != e23
        & h1(e11) != e23
        & h1(e10) != e23 )
      | ( h1(e13) != e22
        & h1(e12) != e22
        & h1(e11) != e22
        & h1(e10) != e22 )
      | ( h1(e13) != e21
        & h1(e12) != e21
        & h1(e11) != e21
        & h1(e10) != e21 )
      | ( h1(e13) != e20
        & h1(e12) != e20
        & h1(e11) != e20
        & h1(e10) != e20 )
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f39]) ).

fof(f487,definition,
    ( sP2_prd
  <=> ( h1(e13) != e20
      & h1(e12) != e20
      & h1(e11) != e20
      & h1(e10) != e20 ) ),
    introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).

fof(f488,definition,
    ( sP3_prd
  <=> ( h1(e13) != e21
      & h1(e12) != e21
      & h1(e11) != e21
      & h1(e10) != e21 ) ),
    introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).

fof(f489,definition,
    ( sP4_prd
  <=> ( h1(e13) != e22
      & h1(e12) != e22
      & h1(e11) != e22
      & h1(e10) != e22 ) ),
    introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).

fof(f490,definition,
    ( sP5_prd
  <=> ( h2(e13) != e20
      & h2(e12) != e20
      & h2(e11) != e20
      & h2(e10) != e20 ) ),
    introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).

fof(f491,definition,
    ( sP6_prd
  <=> ( h2(e13) != e21
      & h2(e12) != e21
      & h2(e11) != e21
      & h2(e10) != e21 ) ),
    introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).

fof(f492,definition,
    ( sP7_prd
  <=> ( h2(e13) != e22
      & h2(e12) != e22
      & h2(e11) != e22
      & h2(e10) != e22 ) ),
    introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).

fof(f493,definition,
    ( sP8_prd
  <=> ( h3(e13) != e20
      & h3(e12) != e20
      & h3(e11) != e20
      & h3(e10) != e20 ) ),
    introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).

fof(f494,definition,
    ( sP9_prd
  <=> ( h3(e13) != e21
      & h3(e12) != e21
      & h3(e11) != e21
      & h3(e10) != e21 ) ),
    introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).

fof(f495,definition,
    ( sP10_prd
  <=> ( h3(e13) != e22
      & h3(e12) != e22
      & h3(e11) != e22
      & h3(e10) != e22 ) ),
    introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).

fof(f496,definition,
    ( sP11_prd
  <=> ( h4(e13) != e20
      & h4(e12) != e20
      & h4(e11) != e20
      & h4(e10) != e20 ) ),
    introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).

fof(f497,definition,
    ( sP12_prd
  <=> ( h4(e13) != e21
      & h4(e12) != e21
      & h4(e11) != e21
      & h4(e10) != e21 ) ),
    introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).

fof(f498,definition,
    ( sP13_prd
  <=> ( h4(e13) != e22
      & h4(e12) != e22
      & h4(e11) != e22
      & h4(e10) != e22 ) ),
    introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).

fof(f499,definition,
    ( sP14_prd
  <=> ( h5(e13) != e20
      & h5(e12) != e20
      & h5(e11) != e20
      & h5(e10) != e20 ) ),
    introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).

fof(f500,definition,
    ( sP15_prd
  <=> ( h5(e13) != e21
      & h5(e12) != e21
      & h5(e11) != e21
      & h5(e10) != e21 ) ),
    introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).

fof(f501,definition,
    ( sP16_prd
  <=> ( h5(e13) != e22
      & h5(e12) != e22
      & h5(e11) != e22
      & h5(e10) != e22 ) ),
    introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).

fof(f502,definition,
    ( sP17_prd
  <=> ( h6(e13) != e20
      & h6(e12) != e20
      & h6(e11) != e20
      & h6(e10) != e20 ) ),
    introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).

fof(f503,definition,
    ( sP18_prd
  <=> ( h6(e13) != e21
      & h6(e12) != e21
      & h6(e11) != e21
      & h6(e10) != e21 ) ),
    introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).

fof(f504,definition,
    ( sP19_prd
  <=> ( h6(e13) != e22
      & h6(e12) != e22
      & h6(e11) != e22
      & h6(e10) != e22 ) ),
    introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).

fof(f505,definition,
    ( sP20_prd
  <=> ( h7(e13) != e20
      & h7(e12) != e20
      & h7(e11) != e20
      & h7(e10) != e20 ) ),
    introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).

fof(f506,definition,
    ( sP21_prd
  <=> ( h7(e13) != e21
      & h7(e12) != e21
      & h7(e11) != e21
      & h7(e10) != e21 ) ),
    introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).

fof(f507,definition,
    ( sP22_prd
  <=> ( h7(e13) != e22
      & h7(e12) != e22
      & h7(e11) != e22
      & h7(e10) != e22 ) ),
    introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).

fof(f508,definition,
    ( sP23_prd
  <=> ( h8(e13) != e20
      & h8(e12) != e20
      & h8(e11) != e20
      & h8(e10) != e20 ) ),
    introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).

fof(f509,definition,
    ( sP24_prd
  <=> ( h8(e13) != e21
      & h8(e12) != e21
      & h8(e11) != e21
      & h8(e10) != e21 ) ),
    introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).

fof(f510,definition,
    ( sP25_prd
  <=> ( h8(e13) != e22
      & h8(e12) != e22
      & h8(e11) != e22
      & h8(e10) != e22 ) ),
    introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).

fof(f511,definition,
    ( sP26_prd
  <=> ( h9(e13) != e20
      & h9(e12) != e20
      & h9(e11) != e20
      & h9(e10) != e20 ) ),
    introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).

fof(f512,definition,
    ( sP27_prd
  <=> ( h9(e13) != e21
      & h9(e12) != e21
      & h9(e11) != e21
      & h9(e10) != e21 ) ),
    introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).

fof(f513,definition,
    ( sP28_prd
  <=> ( h9(e13) != e22
      & h9(e12) != e22
      & h9(e11) != e22
      & h9(e10) != e22 ) ),
    introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).

fof(f514,definition,
    ( sP29_prd
  <=> ( h10(e13) != e20
      & h10(e12) != e20
      & h10(e11) != e20
      & h10(e10) != e20 ) ),
    introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).

fof(f515,definition,
    ( sP30_prd
  <=> ( h10(e13) != e21
      & h10(e12) != e21
      & h10(e11) != e21
      & h10(e10) != e21 ) ),
    introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).

fof(f516,definition,
    ( sP31_prd
  <=> ( h10(e13) != e22
      & h10(e12) != e22
      & h10(e11) != e22
      & h10(e10) != e22 ) ),
    introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).

fof(f517,definition,
    ( sP32_prd
  <=> ( h11(e13) != e20
      & h11(e12) != e20
      & h11(e11) != e20
      & h11(e10) != e20 ) ),
    introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).

fof(f518,definition,
    ( sP33_prd
  <=> ( h11(e13) != e21
      & h11(e12) != e21
      & h11(e11) != e21
      & h11(e10) != e21 ) ),
    introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).

fof(f519,definition,
    ( sP34_prd
  <=> ( h11(e13) != e22
      & h11(e12) != e22
      & h11(e11) != e22
      & h11(e10) != e22 ) ),
    introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).

fof(f520,definition,
    ( sP35_prd
  <=> ( h12(e13) != e20
      & h12(e12) != e20
      & h12(e11) != e20
      & h12(e10) != e20 ) ),
    introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).

fof(f521,definition,
    ( sP36_prd
  <=> ( h12(e13) != e21
      & h12(e12) != e21
      & h12(e11) != e21
      & h12(e10) != e21 ) ),
    introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).

fof(f522,definition,
    ( sP37_prd
  <=> ( h12(e13) != e22
      & h12(e12) != e22
      & h12(e11) != e22
      & h12(e10) != e22 ) ),
    introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).

fof(f523,plain,
    ( ( ( h12(e13) != e23
        & h12(e12) != e23
        & h12(e11) != e23
        & h12(e10) != e23 )
      | sP37_prd
      | sP36_prd
      | sP35_prd
      | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
      | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
      | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
      | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
      | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
      | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
      | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
      | h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
      | h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
      | h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
      | h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
      | h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
      | h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
      | h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
      | h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
      | h12(op1(e10,e10)) != op2(h12(e10),h12(e10)) )
    & ( ( h11(e13) != e23
        & h11(e12) != e23
        & h11(e11) != e23
        & h11(e10) != e23 )
      | sP34_prd
      | sP33_prd
      | sP32_prd
      | h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
      | h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
      | h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
      | h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
      | h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
      | h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
      | h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
      | h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
      | h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
      | h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
      | h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
      | h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
      | h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
      | h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
      | h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
      | h11(op1(e10,e10)) != op2(h11(e10),h11(e10)) )
    & ( ( h10(e13) != e23
        & h10(e12) != e23
        & h10(e11) != e23
        & h10(e10) != e23 )
      | sP31_prd
      | sP30_prd
      | sP29_prd
      | h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
      | h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
      | h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
      | h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
      | h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
      | h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
      | h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
      | h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
      | h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
      | h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
      | h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
      | h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
      | h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
      | h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
      | h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
      | h10(op1(e10,e10)) != op2(h10(e10),h10(e10)) )
    & ( ( h9(e13) != e23
        & h9(e12) != e23
        & h9(e11) != e23
        & h9(e10) != e23 )
      | sP28_prd
      | sP27_prd
      | sP26_prd
      | h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
      | h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
      | h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
      | h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
      | h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
      | h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
      | h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
      | h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
      | h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
      | h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
      | h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
      | h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
      | h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
      | h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
      | h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
      | h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) )
    & ( ( h8(e13) != e23
        & h8(e12) != e23
        & h8(e11) != e23
        & h8(e10) != e23 )
      | sP25_prd
      | sP24_prd
      | sP23_prd
      | h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
      | h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
      | h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
      | h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
      | h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
      | h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
      | h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
      | h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
      | h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
      | h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
      | h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
      | h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
      | h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
      | h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
      | h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
      | h8(op1(e10,e10)) != op2(h8(e10),h8(e10)) )
    & ( ( h7(e13) != e23
        & h7(e12) != e23
        & h7(e11) != e23
        & h7(e10) != e23 )
      | sP22_prd
      | sP21_prd
      | sP20_prd
      | h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
      | h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
      | h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
      | h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
      | h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
      | h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
      | h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
      | h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
      | h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
      | h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
      | h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
      | h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
      | h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
      | h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
      | h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
      | h7(op1(e10,e10)) != op2(h7(e10),h7(e10)) )
    & ( ( h6(e13) != e23
        & h6(e12) != e23
        & h6(e11) != e23
        & h6(e10) != e23 )
      | sP19_prd
      | sP18_prd
      | sP17_prd
      | h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
      | h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
      | h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
      | h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
      | h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
      | h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
      | h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
      | h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
      | h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
      | h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
      | h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
      | h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
      | h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
      | h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
      | h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
      | h6(op1(e10,e10)) != op2(h6(e10),h6(e10)) )
    & ( ( h5(e13) != e23
        & h5(e12) != e23
        & h5(e11) != e23
        & h5(e10) != e23 )
      | sP16_prd
      | sP15_prd
      | sP14_prd
      | h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
      | h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
      | h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
      | h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
      | h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
      | h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
      | h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
      | h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
      | h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
      | h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
      | h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
      | h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
      | h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
      | h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
      | h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
      | h5(op1(e10,e10)) != op2(h5(e10),h5(e10)) )
    & ( ( h4(e13) != e23
        & h4(e12) != e23
        & h4(e11) != e23
        & h4(e10) != e23 )
      | sP13_prd
      | sP12_prd
      | sP11_prd
      | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
      | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
      | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
      | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
      | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
      | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
      | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
      | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
      | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
      | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
      | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
      | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
      | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
      | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
      | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
      | h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
    & ( ( h3(e13) != e23
        & h3(e12) != e23
        & h3(e11) != e23
        & h3(e10) != e23 )
      | sP10_prd
      | sP9_prd
      | sP8_prd
      | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
      | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
      | h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
      | h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
      | h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
      | h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
      | h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
      | h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
      | h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
      | h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
      | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
      | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
      | h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
      | h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
      | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
      | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
    & ( ( h2(e13) != e23
        & h2(e12) != e23
        & h2(e11) != e23
        & h2(e10) != e23 )
      | sP7_prd
      | sP6_prd
      | sP5_prd
      | h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
      | h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
      | h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
      | h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
      | h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
      | h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
      | h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
      | h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
      | h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
      | h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
      | h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
      | h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
      | h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
      | h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
      | h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
      | h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
    & ( ( h1(e13) != e23
        & h1(e12) != e23
        & h1(e11) != e23
        & h1(e10) != e23 )
      | sP4_prd
      | sP3_prd
      | sP2_prd
      | h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
      | h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
      | h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
      | h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
      | h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
      | h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
      | h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
      | h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
      | h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
      | h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
      | h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
      | h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
      | h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
      | h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
      | h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
      | h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
    inference(formula_renaming,[status(thm)],[f486,f522,f521,f520,f519,f518,f517,f516,f515,f514,f513,f512,f511,f510,f509,f508,f507,f506,f505,f504,f503,f502,f501,f500,f499,f498,f497,f496,f495,f494,f493,f492,f491,f490,f489,f488,f487]) ).

fof(f570,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
    | h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
    | h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
    | h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
    | h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
    | h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
    | h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
    | h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
    | h12(op1(e10,e10)) != op2(h12(e10),h12(e10)) ),
    inference(cnf_transformation,[status(thm)],[f523]) ).

fof(f572,definition,
    ( sP38_prd
  <=> ( ( op1(e13,e13) = e11
        & op1(e12,e12) = e11
        & op1(e11,e11) = e11
        & op1(e10,e10) = e11 )
      | ( op1(e13,e13) = e10
        & op1(e12,e12) = e10
        & op1(e11,e11) = e10
        & op1(e10,e10) = e10 ) ) ),
    introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).

fof(f573,plain,
    ( sP0_prd
  <=> ( ( op1(e13,e13) = e12
        & op1(e12,e12) = e12
        & op1(e11,e11) = e12
        & op1(e10,e10) = e12 )
      | sP38_prd ) ),
    inference(formula_renaming,[status(thm)],[f422,f572]) ).

fof(f574,plain,
    ( ( ( ( op1(e13,e13) != e12
          | op1(e12,e12) != e12
          | op1(e11,e11) != e12
          | op1(e10,e10) != e12 )
        & ~ sP38_prd )
      | sP0_prd )
    & ( ( op1(e13,e13) = e12
        & op1(e12,e12) = e12
        & op1(e11,e11) = e12
        & op1(e10,e10) = e12 )
      | sP38_prd
      | ~ sP0_prd ) ),
    inference(NNF_transformation,[status(thm)],[f573]) ).

fof(f577,plain,
    ( op1(e12,e12) = e12
    | sP38_prd
    | ~ sP0_prd ),
    inference(cnf_transformation,[status(thm)],[f574]) ).

fof(f581,definition,
    ( sP39_prd
  <=> ( ( op2(e23,e23) = e21
        & op2(e22,e22) = e21
        & op2(e21,e21) = e21
        & op2(e20,e20) = e21 )
      | ( op2(e23,e23) = e20
        & op2(e22,e22) = e20
        & op2(e21,e21) = e20
        & op2(e20,e20) = e20 ) ) ),
    introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).

fof(f582,plain,
    ( sP1_prd
  <=> ( ( op2(e23,e23) = e22
        & op2(e22,e22) = e22
        & op2(e21,e21) = e22
        & op2(e20,e20) = e22 )
      | sP39_prd ) ),
    inference(formula_renaming,[status(thm)],[f428,f581]) ).

fof(f583,plain,
    ( ( ( ( op2(e23,e23) != e22
          | op2(e22,e22) != e22
          | op2(e21,e21) != e22
          | op2(e20,e20) != e22 )
        & ~ sP39_prd )
      | sP1_prd )
    & ( ( op2(e23,e23) = e22
        & op2(e22,e22) = e22
        & op2(e21,e21) = e22
        & op2(e20,e20) = e22 )
      | sP39_prd
      | ~ sP1_prd ) ),
    inference(NNF_transformation,[status(thm)],[f582]) ).

fof(f586,plain,
    ( op2(e22,e22) = e22
    | sP39_prd
    | ~ sP1_prd ),
    inference(cnf_transformation,[status(thm)],[f583]) ).

fof(f638,plain,
    ( ( h3(e13) = e22
      | h3(e12) = e22
      | h3(e11) = e22
      | h3(e10) = e22
      | sP10_prd )
    & ( ( h3(e13) != e22
        & h3(e12) != e22
        & h3(e11) != e22
        & h3(e10) != e22 )
      | ~ sP10_prd ) ),
    inference(NNF_transformation,[status(thm)],[f495]) ).

fof(f640,plain,
    ( h3(e11) != e22
    | ~ sP10_prd ),
    inference(cnf_transformation,[status(thm)],[f638]) ).

fof(f643,plain,
    ( h3(e13) = e22
    | h3(e12) = e22
    | h3(e11) = e22
    | h3(e10) = e22
    | sP10_prd ),
    inference(cnf_transformation,[status(thm)],[f638]) ).

fof(f782,plain,
    ( ( h11(e13) = e22
      | h11(e12) = e22
      | h11(e11) = e22
      | h11(e10) = e22
      | sP34_prd )
    & ( ( h11(e13) != e22
        & h11(e12) != e22
        & h11(e11) != e22
        & h11(e10) != e22 )
      | ~ sP34_prd ) ),
    inference(NNF_transformation,[status(thm)],[f519]) ).

fof(f784,plain,
    ( h11(e11) != e22
    | ~ sP34_prd ),
    inference(cnf_transformation,[status(thm)],[f782]) ).

fof(f787,plain,
    ( h11(e13) = e22
    | h11(e12) = e22
    | h11(e11) = e22
    | h11(e10) = e22
    | sP34_prd ),
    inference(cnf_transformation,[status(thm)],[f782]) ).

fof(f788,plain,
    ( ( h12(e13) = e20
      | h12(e12) = e20
      | h12(e11) = e20
      | h12(e10) = e20
      | sP35_prd )
    & ( ( h12(e13) != e20
        & h12(e12) != e20
        & h12(e11) != e20
        & h12(e10) != e20 )
      | ~ sP35_prd ) ),
    inference(NNF_transformation,[status(thm)],[f520]) ).

fof(f789,plain,
    ( h12(e10) != e20
    | ~ sP35_prd ),
    inference(cnf_transformation,[status(thm)],[f788]) ).

fof(f794,plain,
    ( ( h12(e13) = e21
      | h12(e12) = e21
      | h12(e11) = e21
      | h12(e10) = e21
      | sP36_prd )
    & ( ( h12(e13) != e21
        & h12(e12) != e21
        & h12(e11) != e21
        & h12(e10) != e21 )
      | ~ sP36_prd ) ),
    inference(NNF_transformation,[status(thm)],[f521]) ).

fof(f796,plain,
    ( h12(e11) != e21
    | ~ sP36_prd ),
    inference(cnf_transformation,[status(thm)],[f794]) ).

fof(f800,plain,
    ( ( h12(e13) = e22
      | h12(e12) = e22
      | h12(e11) = e22
      | h12(e10) = e22
      | sP37_prd )
    & ( ( h12(e13) != e22
        & h12(e12) != e22
        & h12(e11) != e22
        & h12(e10) != e22 )
      | ~ sP37_prd ) ),
    inference(NNF_transformation,[status(thm)],[f522]) ).

fof(f804,plain,
    ( h12(e13) != e22
    | ~ sP37_prd ),
    inference(cnf_transformation,[status(thm)],[f800]) ).

fof(f806,definition,
    ( sP40_prd
  <=> ( op1(e13,e13) = e10
      & op1(e12,e12) = e10
      & op1(e11,e11) = e10
      & op1(e10,e10) = e10 ) ),
    introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).

fof(f807,plain,
    ( sP38_prd
  <=> ( ( op1(e13,e13) = e11
        & op1(e12,e12) = e11
        & op1(e11,e11) = e11
        & op1(e10,e10) = e11 )
      | sP40_prd ) ),
    inference(formula_renaming,[status(thm)],[f572,f806]) ).

fof(f808,plain,
    ( ( ( ( op1(e13,e13) != e11
          | op1(e12,e12) != e11
          | op1(e11,e11) != e11
          | op1(e10,e10) != e11 )
        & ~ sP40_prd )
      | sP38_prd )
    & ( ( op1(e13,e13) = e11
        & op1(e12,e12) = e11
        & op1(e11,e11) = e11
        & op1(e10,e10) = e11 )
      | sP40_prd
      | ~ sP38_prd ) ),
    inference(NNF_transformation,[status(thm)],[f807]) ).

fof(f811,plain,
    ( op1(e12,e12) = e11
    | sP40_prd
    | ~ sP38_prd ),
    inference(cnf_transformation,[status(thm)],[f808]) ).

fof(f815,definition,
    ( sP41_prd
  <=> ( op2(e23,e23) = e20
      & op2(e22,e22) = e20
      & op2(e21,e21) = e20
      & op2(e20,e20) = e20 ) ),
    introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).

fof(f816,plain,
    ( sP39_prd
  <=> ( ( op2(e23,e23) = e21
        & op2(e22,e22) = e21
        & op2(e21,e21) = e21
        & op2(e20,e20) = e21 )
      | sP41_prd ) ),
    inference(formula_renaming,[status(thm)],[f581,f815]) ).

fof(f817,plain,
    ( ( ( ( op2(e23,e23) != e21
          | op2(e22,e22) != e21
          | op2(e21,e21) != e21
          | op2(e20,e20) != e21 )
        & ~ sP41_prd )
      | sP39_prd )
    & ( ( op2(e23,e23) = e21
        & op2(e22,e22) = e21
        & op2(e21,e21) = e21
        & op2(e20,e20) = e21 )
      | sP41_prd
      | ~ sP39_prd ) ),
    inference(NNF_transformation,[status(thm)],[f816]) ).

fof(f820,plain,
    ( op2(e22,e22) = e21
    | sP41_prd
    | ~ sP39_prd ),
    inference(cnf_transformation,[status(thm)],[f817]) ).

fof(f824,plain,
    ( ( op1(e13,e13) != e10
      | op1(e12,e12) != e10
      | op1(e11,e11) != e10
      | op1(e10,e10) != e10
      | sP40_prd )
    & ( ( op1(e13,e13) = e10
        & op1(e12,e12) = e10
        & op1(e11,e11) = e10
        & op1(e10,e10) = e10 )
      | ~ sP40_prd ) ),
    inference(NNF_transformation,[status(thm)],[f806]) ).

fof(f825,plain,
    ( op1(e10,e10) = e10
    | ~ sP40_prd ),
    inference(cnf_transformation,[status(thm)],[f824]) ).

fof(f826,plain,
    ( op1(e11,e11) = e10
    | ~ sP40_prd ),
    inference(cnf_transformation,[status(thm)],[f824]) ).

fof(f827,plain,
    ( op1(e12,e12) = e10
    | ~ sP40_prd ),
    inference(cnf_transformation,[status(thm)],[f824]) ).

fof(f830,plain,
    ( ( op2(e23,e23) != e20
      | op2(e22,e22) != e20
      | op2(e21,e21) != e20
      | op2(e20,e20) != e20
      | sP41_prd )
    & ( ( op2(e23,e23) = e20
        & op2(e22,e22) = e20
        & op2(e21,e21) = e20
        & op2(e20,e20) = e20 )
      | ~ sP41_prd ) ),
    inference(NNF_transformation,[status(thm)],[f815]) ).

fof(f831,plain,
    ( op2(e20,e20) = e20
    | ~ sP41_prd ),
    inference(cnf_transformation,[status(thm)],[f830]) ).

fof(f832,plain,
    ( op2(e21,e21) = e20
    | ~ sP41_prd ),
    inference(cnf_transformation,[status(thm)],[f830]) ).

fof(f833,plain,
    ( op2(e22,e22) = e20
    | ~ sP41_prd ),
    inference(cnf_transformation,[status(thm)],[f830]) ).

fof(f993,plain,
    op1(op1(e10,e12),e13) = op1(e10,e11),
    inference(forward_demodulation,[status(thm)],[f435,f67]) ).

fof(f1207,plain,
    op1(op1(e12,e12),e13) = op1(e12,e11),
    inference(forward_demodulation,[status(thm)],[f435,f99]) ).

fof(f1243,plain,
    op1(e11,e13) = op1(e12,op1(e13,e13)),
    inference(forward_demodulation,[status(thm)],[f435,f103]) ).

fof(f1245,plain,
    op1(op1(e12,e12),e10) = op1(e12,op1(e11,e13)),
    inference(backward_demodulation,[status(thm)],[f1254,f96]) ).

fof(f1248,plain,
    op1(op1(e11,e13),e12) = op1(e12,op1(e10,e12)),
    inference(backward_demodulation,[status(thm)],[f1254,f90]) ).

fof(f1250,plain,
    op1(op1(e11,e13),e10) = op1(e12,op1(e10,e10)),
    inference(backward_demodulation,[status(thm)],[f1254,f88]) ).

fof(f1252,plain,
    op1(op1(e10,e12),e10) = op1(e10,op1(e11,e13)),
    inference(backward_demodulation,[status(thm)],[f1254,f64]) ).

fof(f1254,plain,
    op1(e11,e13) = op1(e12,e10),
    inference(forward_demodulation,[status(thm)],[f434,f1243]) ).

fof(f1257,plain,
    op1(e11,op1(e13,e12)) = op1(e12,op1(e10,e12)),
    inference(forward_demodulation,[status(thm)],[f86,f1248]) ).

fof(f1259,plain,
    op1(e11,op1(e13,e10)) = op1(e12,op1(e10,e10)),
    inference(forward_demodulation,[status(thm)],[f84,f1250]) ).

fof(f1291,plain,
    ( e22 != e22
    | ~ sP37_prd ),
    inference(forward_demodulation,[status(thm)],[f483,f804]) ).

fof(f1292,plain,
    ~ sP37_prd,
    inference(trivial_equality_resolution,[status(thm)],[f1291]) ).

fof(f1326,plain,
    h3(e10) = e20,
    inference(forward_demodulation,[status(thm)],[f436,f448]) ).

fof(f1374,plain,
    op1(op1(e13,e12),e13) = op1(e13,e11),
    inference(forward_demodulation,[status(thm)],[f435,f115]) ).

fof(f1391,plain,
    ( e10 = e13
    | sP0_prd ),
    inference(forward_demodulation,[status(thm)],[f434,f427]) ).

fof(f1392,plain,
    sP0_prd,
    inference(forward_subsumption_resolution,[status(thm)],[f1391,f396]) ).

fof(f1400,plain,
    ( e20 = e23
    | sP1_prd ),
    inference(forward_demodulation,[status(thm)],[f436,f433]) ).

fof(f1401,plain,
    sP1_prd,
    inference(forward_subsumption_resolution,[status(thm)],[f1400,f402]) ).

fof(f1406,plain,
    op1(e10,e13) = op1(e13,op1(e13,e13)),
    inference(forward_demodulation,[status(thm)],[f434,f119]) ).

fof(f1413,plain,
    op1(op1(e11,e13),e10) = op1(e11,op1(e10,e13)),
    inference(backward_demodulation,[status(thm)],[f1416,f84]) ).

fof(f1416,plain,
    op1(e10,e13) = op1(e13,e10),
    inference(forward_demodulation,[status(thm)],[f434,f1406]) ).

fof(f1431,plain,
    ( h3(e13) = e22
    | h3(e12) = e22
    | h3(e11) = e22
    | e20 = e22
    | sP10_prd ),
    inference(forward_demodulation,[status(thm)],[f1326,f643]) ).

fof(f1432,plain,
    ( h3(e13) = e22
    | e20 = e22
    | h3(e11) = e22
    | e20 = e22
    | sP10_prd ),
    inference(forward_demodulation,[status(thm)],[f446,f1431]) ).

fof(f1433,plain,
    ( e23 = e22
    | e20 = e22
    | h3(e11) = e22
    | e20 = e22
    | sP10_prd ),
    inference(forward_demodulation,[status(thm)],[f447,f1432]) ).

fof(f1434,plain,
    ( e23 = e22
    | h3(e11) = e22
    | e20 = e22
    | sP10_prd ),
    inference(duplicate_literals_removal,[status(thm)],[f1433]) ).

fof(f1435,plain,
    ( e23 = e22
    | h3(e11) = e22
    | sP10_prd ),
    inference(forward_subsumption_resolution,[status(thm)],[f1434,f401]) ).

fof(f1526,plain,
    h11(e10) = h1(e10),
    inference(forward_demodulation,[status(thm)],[f440,f480]) ).

fof(f1623,plain,
    ( h2(e10) != e20
    | ~ sP35_prd ),
    inference(backward_demodulation,[status(thm)],[f1624,f789]) ).

fof(f1624,plain,
    h12(e10) = h2(e10),
    inference(forward_demodulation,[status(thm)],[f444,f484]) ).

fof(f1637,plain,
    ( op2(e20,e23) = e23
    | op2(e20,e23) = e22
    | op2(e20,e23) = e21
    | h3(e11) = e20 ),
    inference(forward_demodulation,[status(thm)],[f449,f144]) ).

fof(f1638,plain,
    ( op2(e20,e23) = e23
    | op2(e20,e23) = e22
    | h3(e11) = e21
    | h3(e11) = e20 ),
    inference(forward_demodulation,[status(thm)],[f449,f1637]) ).

fof(f1639,plain,
    ( op2(e20,e23) = e23
    | h3(e11) = e22
    | h3(e11) = e21
    | h3(e11) = e20 ),
    inference(forward_demodulation,[status(thm)],[f449,f1638]) ).

fof(f1640,plain,
    ( h3(e11) = e23
    | h3(e11) = e22
    | h3(e11) = e21
    | h3(e11) = e20 ),
    inference(forward_demodulation,[status(thm)],[f449,f1639]) ).

fof(f1656,plain,
    ( h4(e10) = e20
    | ~ sP41_prd ),
    inference(forward_demodulation,[status(thm)],[f452,f831]) ).

fof(f1658,plain,
    ( h1(e10) = e20
    | ~ sP41_prd ),
    inference(forward_demodulation,[status(thm)],[f440,f832]) ).

fof(f1754,plain,
    ( h2(e10) = e20
    | ~ sP41_prd ),
    inference(forward_demodulation,[status(thm)],[f444,f833]) ).

fof(f1755,plain,
    ( ~ sP35_prd
    | ~ sP41_prd ),
    inference(resolution,[status(thm)],[f1754,f1623]) ).

fof(f1763,plain,
    ( op2(e21,e23) = e23
    | op2(e21,e23) = e22
    | op2(e21,e23) = e21
    | h6(e11) = e20 ),
    inference(forward_demodulation,[status(thm)],[f461,f148]) ).

fof(f1764,plain,
    ( op2(e21,e23) = e23
    | op2(e21,e23) = e22
    | h6(e11) = e21
    | h6(e11) = e20 ),
    inference(forward_demodulation,[status(thm)],[f461,f1763]) ).

fof(f1765,plain,
    ( op2(e21,e23) = e23
    | h6(e11) = e22
    | h6(e11) = e21
    | h6(e11) = e20 ),
    inference(forward_demodulation,[status(thm)],[f461,f1764]) ).

fof(f1766,plain,
    ( h6(e11) = e23
    | h6(e11) = e22
    | h6(e11) = e21
    | h6(e11) = e20 ),
    inference(forward_demodulation,[status(thm)],[f461,f1765]) ).

fof(f1881,plain,
    ( op2(e23,e21) = e23
    | op2(e23,e21) = e22
    | op2(e23,e21) = e21
    | h11(e11) = e20 ),
    inference(forward_demodulation,[status(thm)],[f481,f154]) ).

fof(f1882,plain,
    ( op2(e23,e21) = e23
    | op2(e23,e21) = e22
    | h11(e11) = e21
    | h11(e11) = e20 ),
    inference(forward_demodulation,[status(thm)],[f481,f1881]) ).

fof(f1883,plain,
    ( op2(e23,e21) = e23
    | h11(e11) = e22
    | h11(e11) = e21
    | h11(e11) = e20 ),
    inference(forward_demodulation,[status(thm)],[f481,f1882]) ).

fof(f1884,plain,
    ( h11(e11) = e23
    | h11(e11) = e22
    | h11(e11) = e21
    | h11(e11) = e20 ),
    inference(forward_demodulation,[status(thm)],[f481,f1883]) ).

fof(f1891,plain,
    ( op2(e23,e22) = e23
    | op2(e23,e22) = e22
    | op2(e23,e22) = e21
    | h12(e11) = e20 ),
    inference(forward_demodulation,[status(thm)],[f485,f155]) ).

fof(f1892,plain,
    ( op2(e23,e22) = e23
    | op2(e23,e22) = e22
    | h12(e11) = e21
    | h12(e11) = e20 ),
    inference(forward_demodulation,[status(thm)],[f485,f1891]) ).

fof(f1893,plain,
    ( op2(e23,e22) = e23
    | h12(e11) = e22
    | h12(e11) = e21
    | h12(e11) = e20 ),
    inference(forward_demodulation,[status(thm)],[f485,f1892]) ).

fof(f1894,plain,
    ( h12(e11) = e23
    | h12(e11) = e22
    | h12(e11) = e21
    | h12(e11) = e20 ),
    inference(forward_demodulation,[status(thm)],[f485,f1893]) ).

fof(f1958,plain,
    op2(h4(e10),e21) = op2(e20,op2(e20,e21)),
    inference(forward_demodulation,[status(thm)],[f452,f158]) ).

fof(f1959,plain,
    op2(h4(e10),e21) = op2(e20,h1(e11)),
    inference(forward_demodulation,[status(thm)],[f441,f1958]) ).

fof(f1962,plain,
    op2(h4(e10),e22) = op2(e20,op2(e20,e22)),
    inference(forward_demodulation,[status(thm)],[f452,f159]) ).

fof(f1963,plain,
    op2(h4(e10),e22) = op2(e20,h2(e11)),
    inference(forward_demodulation,[status(thm)],[f445,f1962]) ).

fof(f2013,plain,
    ( op1(e10,e13) = e13
    | op1(e10,e13) = e12
    | op1(e10,e13) = e10 ),
    inference(backward_subsumption_resolution,[status(thm)],[f43,f2014]) ).

fof(f2014,plain,
    op1(e10,e13) != e11,
    inference(forward_demodulation,[status(thm)],[f435,f317]) ).

fof(f2015,plain,
    op1(e10,e13) != e10,
    inference(forward_demodulation,[status(thm)],[f434,f318]) ).

fof(f2016,plain,
    ( op1(e11,e13) = e13
    | op1(e11,e13) = e12
    | op1(e11,e13) = e10 ),
    inference(backward_subsumption_resolution,[status(thm)],[f47,f2017]) ).

fof(f2017,plain,
    op1(e11,e13) != e11,
    inference(forward_demodulation,[status(thm)],[f435,f319]) ).

fof(f2136,plain,
    op1(e12,e11) != e11,
    inference(forward_demodulation,[status(thm)],[f435,f338]) ).

fof(f2138,plain,
    op1(e12,e12) != e11,
    inference(forward_demodulation,[status(thm)],[f435,f339]) ).

fof(f2229,plain,
    ( op1(e13,e12) = e13
    | op1(e13,e12) = e12
    | op1(e13,e12) = e11 ),
    inference(backward_subsumption_resolution,[status(thm)],[f54,f2230]) ).

fof(f2230,plain,
    op1(e13,e12) != e10,
    inference(forward_demodulation,[status(thm)],[f434,f345]) ).

fof(f2253,plain,
    op2(h3(e11),e23) = op2(e20,op2(e23,e23)),
    inference(forward_demodulation,[status(thm)],[f449,f172]) ).

fof(f2254,plain,
    op2(h3(e11),e23) = op2(e20,e20),
    inference(forward_demodulation,[status(thm)],[f436,f2253]) ).

fof(f2255,plain,
    op2(h3(e11),e23) = h4(e10),
    inference(forward_demodulation,[status(thm)],[f452,f2254]) ).

fof(f2257,plain,
    ( e23 = e22
    | sP10_prd
    | op2(e22,e23) = h4(e10) ),
    inference(paramodulation,[status(thm)],[f1435,f2255]) ).

fof(f2260,plain,
    ( e23 = e22
    | sP10_prd
    | e21 = h4(e10) ),
    inference(forward_demodulation,[status(thm)],[f437,f2257]) ).

fof(f2261,plain,
    ( sP10_prd
    | e21 = h4(e10) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2260,f405]) ).

fof(f2273,plain,
    ( sP10_prd
    | e21 = e20
    | ~ sP41_prd ),
    inference(paramodulation,[status(thm)],[f2261,f1656]) ).

fof(f2285,plain,
    ( sP10_prd
    | ~ sP41_prd ),
    inference(forward_subsumption_resolution,[status(thm)],[f2273,f400]) ).

fof(f2376,plain,
    h1(e11) != op2(e23,e21),
    inference(forward_demodulation,[status(thm)],[f441,f354]) ).

fof(f2377,plain,
    h1(e11) != h11(e11),
    inference(forward_demodulation,[status(thm)],[f481,f2376]) ).

fof(f2399,plain,
    h2(e11) != op2(e22,e22),
    inference(forward_demodulation,[status(thm)],[f445,f359]) ).

fof(f2400,plain,
    h2(e11) != h2(e10),
    inference(forward_demodulation,[status(thm)],[f444,f2399]) ).

fof(f2403,plain,
    h2(e11) != op2(e23,e22),
    inference(forward_demodulation,[status(thm)],[f445,f360]) ).

fof(f2404,plain,
    h2(e11) != h12(e11),
    inference(forward_demodulation,[status(thm)],[f485,f2403]) ).

fof(f2508,plain,
    h3(e11) != op2(e22,e23),
    inference(forward_demodulation,[status(thm)],[f449,f365]) ).

fof(f2509,plain,
    ( h3(e11) = e23
    | h3(e11) = e22
    | h3(e11) = e20 ),
    inference(backward_subsumption_resolution,[status(thm)],[f1640,f2511]) ).

fof(f2511,plain,
    h3(e11) != e21,
    inference(forward_demodulation,[status(thm)],[f437,f2508]) ).

fof(f2514,plain,
    h3(e11) != op2(e23,e23),
    inference(forward_demodulation,[status(thm)],[f449,f366]) ).

fof(f2515,plain,
    h3(e11) != e20,
    inference(forward_demodulation,[status(thm)],[f436,f2514]) ).

fof(f2527,plain,
    h6(e11) != op2(e22,e23),
    inference(forward_demodulation,[status(thm)],[f461,f367]) ).

fof(f2528,plain,
    ( h6(e11) = e23
    | h6(e11) = e22
    | h6(e11) = e20 ),
    inference(backward_subsumption_resolution,[status(thm)],[f1766,f2529]) ).

fof(f2529,plain,
    h6(e11) != e21,
    inference(forward_demodulation,[status(thm)],[f437,f2527]) ).

fof(f2662,plain,
    op2(h6(e11),e21) = op2(e21,op2(e23,e21)),
    inference(forward_demodulation,[status(thm)],[f461,f186]) ).

fof(f2663,plain,
    op2(h6(e11),e21) = op2(e21,h11(e11)),
    inference(forward_demodulation,[status(thm)],[f481,f2662]) ).

fof(f2709,plain,
    h2(e11) != op2(e20,e23),
    inference(forward_demodulation,[status(thm)],[f445,f375]) ).

fof(f2710,plain,
    h2(e11) != h3(e11),
    inference(forward_demodulation,[status(thm)],[f449,f2709]) ).

fof(f2727,plain,
    op2(h7(e11),e21) = op2(e22,op2(e20,e21)),
    inference(forward_demodulation,[status(thm)],[f465,f190]) ).

fof(f2728,plain,
    op2(h7(e11),e21) = op2(e22,h1(e11)),
    inference(forward_demodulation,[status(thm)],[f441,f2727]) ).

fof(f3032,plain,
    h8(e11) != op2(e22,e23),
    inference(forward_demodulation,[status(thm)],[f469,f386]) ).

fof(f3034,plain,
    h8(e11) != e21,
    inference(forward_demodulation,[status(thm)],[f437,f3032]) ).

fof(f3035,plain,
    h2(e10) != op2(e22,e23),
    inference(forward_demodulation,[status(thm)],[f444,f387]) ).

fof(f3039,plain,
    h2(e10) != e21,
    inference(forward_demodulation,[status(thm)],[f437,f3035]) ).

fof(f3041,plain,
    op2(h2(e10),e21) = op2(e22,op2(e22,e21)),
    inference(forward_demodulation,[status(thm)],[f444,f198]) ).

fof(f3042,plain,
    op2(h2(e10),e21) = op2(e22,h8(e11)),
    inference(forward_demodulation,[status(thm)],[f469,f3041]) ).

fof(f3043,plain,
    op2(h2(e10),e22) = op2(e22,op2(e22,e22)),
    inference(forward_demodulation,[status(thm)],[f444,f199]) ).

fof(f3044,plain,
    op2(h2(e10),e22) = op2(e22,h2(e10)),
    inference(forward_demodulation,[status(thm)],[f444,f3043]) ).

fof(f3045,plain,
    op2(h2(e10),e23) = op2(e22,op2(e22,e23)),
    inference(forward_demodulation,[status(thm)],[f444,f200]) ).

fof(f3046,plain,
    op2(h2(e10),e23) = op2(e22,e21),
    inference(forward_demodulation,[status(thm)],[f437,f3045]) ).

fof(f3047,plain,
    op2(h2(e10),e23) = h8(e11),
    inference(forward_demodulation,[status(thm)],[f469,f3046]) ).

fof(f3159,plain,
    h10(e11) != op2(e23,e21),
    inference(forward_demodulation,[status(thm)],[f477,f388]) ).

fof(f3160,plain,
    h10(e11) != h11(e11),
    inference(forward_demodulation,[status(thm)],[f481,f3159]) ).

fof(f3173,plain,
    h10(e11) != op2(e23,e22),
    inference(forward_demodulation,[status(thm)],[f477,f389]) ).

fof(f3174,plain,
    h10(e11) != h12(e11),
    inference(forward_demodulation,[status(thm)],[f485,f3173]) ).

fof(f3182,plain,
    h11(e11) != op2(e23,e23),
    inference(forward_demodulation,[status(thm)],[f481,f392]) ).

fof(f3183,plain,
    ( h11(e11) = e23
    | h11(e11) = e22
    | h11(e11) = e21 ),
    inference(backward_subsumption_resolution,[status(thm)],[f1884,f3184]) ).

fof(f3184,plain,
    h11(e11) != e20,
    inference(forward_demodulation,[status(thm)],[f436,f3182]) ).

fof(f3185,plain,
    h12(e11) != op2(e23,e23),
    inference(forward_demodulation,[status(thm)],[f485,f393]) ).

fof(f3186,plain,
    ( h12(e11) = e23
    | h12(e11) = e22
    | h12(e11) = e21 ),
    inference(backward_subsumption_resolution,[status(thm)],[f1894,f3187]) ).

fof(f3187,plain,
    h12(e11) != e20,
    inference(forward_demodulation,[status(thm)],[f436,f3185]) ).

fof(f3214,plain,
    op2(e21,e22) = op2(e22,op2(e23,e22)),
    inference(forward_demodulation,[status(thm)],[f437,f203]) ).

fof(f3215,plain,
    h5(e11) = op2(e22,op2(e23,e22)),
    inference(forward_demodulation,[status(thm)],[f457,f3214]) ).

fof(f3216,plain,
    h5(e11) = op2(e22,h12(e11)),
    inference(forward_demodulation,[status(thm)],[f485,f3215]) ).

fof(f3217,plain,
    op2(e21,e23) = op2(e22,op2(e23,e23)),
    inference(forward_demodulation,[status(thm)],[f437,f204]) ).

fof(f3218,plain,
    h6(e11) = op2(e22,op2(e23,e23)),
    inference(forward_demodulation,[status(thm)],[f461,f3217]) ).

fof(f3219,plain,
    h7(e11) = h6(e11),
    inference(backward_demodulation,[status(thm)],[f3220,f465]) ).

fof(f3220,plain,
    h6(e11) = op2(e22,e20),
    inference(forward_demodulation,[status(thm)],[f436,f3218]) ).

fof(f3274,plain,
    op2(h6(e11),e21) = op2(e22,h1(e11)),
    inference(backward_demodulation,[status(thm)],[f3219,f2728]) ).

fof(f3284,plain,
    op2(e21,h11(e11)) = op2(e22,h1(e11)),
    inference(forward_demodulation,[status(thm)],[f2663,f3274]) ).

fof(f3294,plain,
    ( op1(e12,e12) = e12
    | sP38_prd ),
    inference(forward_subsumption_resolution,[status(thm)],[f577,f1392]) ).

fof(f3301,plain,
    ( sP38_prd
    | op1(e12,e13) = op1(e12,e11) ),
    inference(paramodulation,[status(thm)],[f3294,f1207]) ).

fof(f3304,plain,
    ( sP38_prd
    | e11 = op1(e12,e11) ),
    inference(forward_demodulation,[status(thm)],[f435,f3301]) ).

fof(f3305,plain,
    sP38_prd,
    inference(forward_subsumption_resolution,[status(thm)],[f3304,f2136]) ).

fof(f3349,plain,
    op2(h11(e11),e21) = op2(e23,op2(e21,e21)),
    inference(forward_demodulation,[status(thm)],[f481,f210]) ).

fof(f3350,plain,
    op2(h11(e11),e21) = op2(e23,h1(e10)),
    inference(forward_demodulation,[status(thm)],[f440,f3349]) ).

fof(f3473,plain,
    op2(h12(e11),e20) = op2(e23,op2(e22,e20)),
    inference(forward_demodulation,[status(thm)],[f485,f213]) ).

fof(f3474,plain,
    op2(h12(e11),e20) = op2(e23,h6(e11)),
    inference(forward_demodulation,[status(thm)],[f3220,f3473]) ).

fof(f3477,plain,
    op2(h12(e11),e22) = op2(e23,op2(e22,e22)),
    inference(forward_demodulation,[status(thm)],[f485,f215]) ).

fof(f3478,plain,
    op2(h12(e11),e22) = op2(e23,h2(e10)),
    inference(forward_demodulation,[status(thm)],[f444,f3477]) ).

fof(f3583,plain,
    op2(h12(e11),e23) = op2(e23,op2(e22,e23)),
    inference(forward_demodulation,[status(thm)],[f485,f216]) ).

fof(f3584,plain,
    op2(h12(e11),e23) = op2(e23,e21),
    inference(forward_demodulation,[status(thm)],[f437,f3583]) ).

fof(f3585,plain,
    op2(h12(e11),e23) = h11(e11),
    inference(forward_demodulation,[status(thm)],[f481,f3584]) ).

fof(f3595,plain,
    ( h2(e10) = e22
    | sP39_prd
    | ~ sP1_prd ),
    inference(forward_demodulation,[status(thm)],[f444,f586]) ).

fof(f3596,plain,
    ( h2(e10) = e22
    | sP39_prd ),
    inference(forward_subsumption_resolution,[status(thm)],[f3595,f1401]) ).

fof(f3602,plain,
    ( sP39_prd
    | op2(e22,e23) = h8(e11) ),
    inference(paramodulation,[status(thm)],[f3596,f3047]) ).

fof(f3611,plain,
    ( sP39_prd
    | e21 = h8(e11) ),
    inference(forward_demodulation,[status(thm)],[f437,f3602]) ).

fof(f3612,plain,
    sP39_prd,
    inference(forward_subsumption_resolution,[status(thm)],[f3611,f3034]) ).

fof(f3641,plain,
    op2(e20,e21) = op2(e23,op2(e23,e21)),
    inference(forward_demodulation,[status(thm)],[f436,f218]) ).

fof(f3642,plain,
    h1(e11) = op2(e23,op2(e23,e21)),
    inference(forward_demodulation,[status(thm)],[f441,f3641]) ).

fof(f3643,plain,
    h1(e11) = op2(e23,h11(e11)),
    inference(forward_demodulation,[status(thm)],[f481,f3642]) ).

fof(f3644,plain,
    op2(e20,e22) = op2(e23,op2(e23,e22)),
    inference(forward_demodulation,[status(thm)],[f436,f219]) ).

fof(f3645,plain,
    h2(e11) = op2(e23,op2(e23,e22)),
    inference(forward_demodulation,[status(thm)],[f445,f3644]) ).

fof(f3646,plain,
    h2(e11) = op2(e23,h12(e11)),
    inference(forward_demodulation,[status(thm)],[f485,f3645]) ).

fof(f3647,plain,
    op2(e20,e23) = op2(e23,op2(e23,e23)),
    inference(forward_demodulation,[status(thm)],[f436,f220]) ).

fof(f3648,plain,
    h3(e11) = op2(e23,op2(e23,e23)),
    inference(forward_demodulation,[status(thm)],[f449,f3647]) ).

fof(f3649,plain,
    h10(e11) = h3(e11),
    inference(backward_demodulation,[status(thm)],[f3650,f477]) ).

fof(f3650,plain,
    h3(e11) = op2(e23,e20),
    inference(forward_demodulation,[status(thm)],[f436,f3648]) ).

fof(f3715,plain,
    h3(e11) != h12(e11),
    inference(backward_demodulation,[status(thm)],[f3649,f3174]) ).

fof(f3717,plain,
    h3(e11) != h11(e11),
    inference(backward_demodulation,[status(thm)],[f3649,f3160]) ).

fof(f3853,plain,
    ( op1(e12,e12) = e11
    | sP40_prd ),
    inference(forward_subsumption_resolution,[status(thm)],[f811,f3305]) ).

fof(f3854,plain,
    sP40_prd,
    inference(resolution,[status(thm)],[f3853,f2138]) ).

fof(f3866,plain,
    op1(e12,e12) = e10,
    inference(backward_subsumption_resolution,[status(thm)],[f827,f3854]) ).

fof(f3867,plain,
    op1(e11,e11) = e10,
    inference(backward_subsumption_resolution,[status(thm)],[f826,f3854]) ).

fof(f3868,plain,
    op1(e10,e10) = e10,
    inference(backward_subsumption_resolution,[status(thm)],[f825,f3854]) ).

fof(f3877,plain,
    op1(e10,e12) != e10,
    inference(backward_demodulation,[status(thm)],[f3866,f311]) ).

fof(f3878,plain,
    op1(op1(e13,e12),e12) = op1(e13,e10),
    inference(backward_demodulation,[status(thm)],[f3866,f114]) ).

fof(f3879,plain,
    op1(e10,e13) = op1(e12,e11),
    inference(backward_demodulation,[status(thm)],[f3866,f1207]) ).

fof(f3880,plain,
    op1(op1(e12,e12),e12) = op1(e12,e10),
    inference(backward_demodulation,[status(thm)],[f3866,f98]) ).

fof(f3890,plain,
    op1(op1(e13,e12),e12) = op1(e10,e13),
    inference(forward_demodulation,[status(thm)],[f1416,f3878]) ).

fof(f3891,plain,
    op1(e10,e12) = op1(e12,e10),
    inference(forward_demodulation,[status(thm)],[f3866,f3880]) ).

fof(f3904,plain,
    op1(op1(e11,e11),e11) = op1(e11,e10),
    inference(backward_demodulation,[status(thm)],[f3867,f77]) ).

fof(f3910,plain,
    op1(e10,e11) = op1(e11,e10),
    inference(forward_demodulation,[status(thm)],[f3867,f3904]) ).

fof(f4475,plain,
    ( h2(e10) = e21
    | sP41_prd
    | ~ sP39_prd ),
    inference(forward_demodulation,[status(thm)],[f444,f820]) ).

fof(f4476,plain,
    ( h2(e10) = e21
    | sP41_prd ),
    inference(forward_subsumption_resolution,[status(thm)],[f4475,f3612]) ).

fof(f4477,plain,
    sP41_prd,
    inference(resolution,[status(thm)],[f4476,f3039]) ).

fof(f4502,plain,
    sP10_prd,
    inference(backward_subsumption_resolution,[status(thm)],[f2285,f4477]) ).

fof(f4504,plain,
    ~ sP35_prd,
    inference(backward_subsumption_resolution,[status(thm)],[f1755,f4477]) ).

fof(f4505,plain,
    h2(e10) = e20,
    inference(backward_subsumption_resolution,[status(thm)],[f1754,f4477]) ).

fof(f4508,plain,
    h1(e10) = e20,
    inference(backward_subsumption_resolution,[status(thm)],[f1658,f4477]) ).

fof(f4509,plain,
    h4(e10) = e20,
    inference(backward_subsumption_resolution,[status(thm)],[f1656,f4477]) ).

fof(f4510,plain,
    h3(e11) != e22,
    inference(backward_subsumption_resolution,[status(thm)],[f640,f4502]) ).

fof(f4655,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
    | h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
    | h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
    | h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
    | h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
    | h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
    | h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
    | h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
    | h12(e10) != op2(h12(e10),h12(e10)) ),
    inference(forward_demodulation,[status(thm)],[f3868,f570]) ).

fof(f4656,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
    | h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
    | h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
    | h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
    | h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
    | h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
    | h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
    | h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
    | h2(e10) != op2(h12(e10),h12(e10)) ),
    inference(forward_demodulation,[status(thm)],[f1624,f4655]) ).

fof(f4657,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
    | h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
    | h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
    | h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
    | h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
    | h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
    | h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
    | h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h12(e10)) ),
    inference(forward_demodulation,[status(thm)],[f1624,f4656]) ).

fof(f4658,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
    | h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
    | h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
    | h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
    | h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
    | h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
    | h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
    | h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f1624,f4657]) ).

fof(f4659,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
    | h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
    | h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
    | h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
    | h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
    | h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
    | h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f1624,f4658]) ).

fof(f4660,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
    | h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
    | h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
    | h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
    | h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
    | h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
    | h12(op1(e10,e12)) != op2(h2(e10),h12(e12))
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f1624,f4659]) ).

fof(f4661,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
    | h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
    | h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
    | h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
    | h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
    | h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
    | h12(op1(e10,e12)) != op2(h2(e10),e23)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f482,f4660]) ).

fof(f4662,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
    | h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
    | h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
    | h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
    | h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
    | h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f3047,f4661]) ).

fof(f4663,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
    | h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
    | h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
    | h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
    | h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
    | h12(op1(e10,e13)) != op2(h2(e10),h12(e13))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f1624,f4662]) ).

fof(f4664,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
    | h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
    | h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
    | h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
    | h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
    | h12(op1(e10,e13)) != op2(h2(e10),e22)
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f483,f4663]) ).

fof(f4665,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
    | h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
    | h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
    | h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
    | h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f3044,f4664]) ).

fof(f4666,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
    | h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
    | h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
    | h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
    | h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f1624,f4665]) ).

fof(f4667,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
    | h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
    | h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
    | h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
    | h12(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f3867,f4666]) ).

fof(f4668,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
    | h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
    | h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
    | h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f1624,f4667]) ).

fof(f4669,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
    | h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
    | h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
    | h12(op1(e11,e12)) != op2(h12(e11),e23)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f482,f4668]) ).

fof(f4670,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
    | h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
    | h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f3585,f4669]) ).

fof(f4671,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
    | h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
    | h12(op1(e11,e13)) != op2(h12(e11),e22)
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f483,f4670]) ).

fof(f4672,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
    | h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f3478,f4671]) ).

fof(f4673,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
    | h12(op1(e11,e13)) != op2(h12(e12),h12(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f1254,f4672]) ).

fof(f4674,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
    | h12(op1(e11,e13)) != op2(e23,h12(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f482,f4673]) ).

fof(f4675,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f1624,f4674]) ).

fof(f4676,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e11)) != op2(e23,h12(e11))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f482,f4675]) ).

fof(f4677,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f3646,f4676]) ).

fof(f4678,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h12(e10) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f3866,f4677]) ).

fof(f4679,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h2(e10) != op2(h12(e12),h12(e12))
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f1624,f4678]) ).

fof(f4680,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h2(e10) != op2(e23,h12(e12))
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f482,f4679]) ).

fof(f4681,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h2(e10) != op2(e23,e23)
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f482,f4680]) ).

fof(f4682,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
    | h2(e10) != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f436,f4681]) ).

fof(f4683,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(e11) != op2(h12(e12),h12(e13))
    | h2(e10) != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f435,f4682]) ).

fof(f4684,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(e11) != op2(e23,h12(e13))
    | h2(e10) != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f482,f4683]) ).

fof(f4685,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(e11) != op2(e23,e22)
    | h2(e10) != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f483,f4684]) ).

fof(f4686,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
    | h12(e11) != h12(e11)
    | h2(e10) != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f485,f4685]) ).

fof(f4687,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e10,e13)) != op2(h12(e13),h12(e10))
    | h12(e11) != h12(e11)
    | h2(e10) != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f1416,f4686]) ).

fof(f4688,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e10,e13)) != op2(e22,h12(e10))
    | h12(e11) != h12(e11)
    | h2(e10) != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f483,f4687]) ).

fof(f4689,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(e11) != h12(e11)
    | h2(e10) != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f1624,f4688]) ).

fof(f4690,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != op2(e22,h12(e11))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(e11) != h12(e11)
    | h2(e10) != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f483,f4689]) ).

fof(f4691,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(e11) != h12(e11)
    | h2(e10) != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f3216,f4690]) ).

fof(f4692,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(e22,h12(e12))
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(e11) != h12(e11)
    | h2(e10) != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f483,f4691]) ).

fof(f4693,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != op2(e22,e23)
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(e11) != h12(e11)
    | h2(e10) != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f482,f4692]) ).

fof(f4694,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(e11) != h12(e11)
    | h2(e10) != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f437,f4693]) ).

fof(f4695,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(e10) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(e11) != h12(e11)
    | h2(e10) != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f434,f4694]) ).

fof(f4696,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h2(e10) != op2(h12(e13),h12(e13))
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(e11) != h12(e11)
    | h2(e10) != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f1624,f4695]) ).

fof(f4697,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h2(e10) != op2(e22,h12(e13))
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(e11) != h12(e11)
    | h2(e10) != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f483,f4696]) ).

fof(f4698,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h2(e10) != op2(e22,e22)
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(e11) != h12(e11)
    | h2(e10) != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f483,f4697]) ).

fof(f4699,plain,
    ( h12(e12) != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h2(e10) != h2(e10)
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(e11) != h12(e11)
    | h2(e10) != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f444,f4698]) ).

fof(f4700,plain,
    ( e23 != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h2(e10) != h2(e10)
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(e11) != h12(e11)
    | h2(e10) != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f482,f4699]) ).

fof(f4701,plain,
    ( e23 != e23
    | sP37_prd
    | sP36_prd
    | sP35_prd
    | h2(e10) != h2(e10)
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(e11) != h12(e11)
    | h2(e10) != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(duplicate_literals_removal,[status(thm)],[f4700]) ).

fof(f4702,plain,
    ( sP37_prd
    | sP36_prd
    | sP35_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h2(e10) != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(trivial_equality_resolution,[status(thm)],[f4701]) ).

fof(f4703,plain,
    ( sP37_prd
    | sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h2(e10) != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4702,f4504]) ).

fof(f4704,plain,
    ( sP37_prd
    | sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | e20 != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | h2(e10) != op2(h2(e10),h2(e10)) ),
    inference(backward_demodulation,[status(thm)],[f4505,f4703]) ).

fof(f4705,plain,
    op2(h12(e11),e22) = op2(e23,e20),
    inference(backward_demodulation,[status(thm)],[f4505,f3478]) ).

fof(f4708,plain,
    op2(e20,e23) = h8(e11),
    inference(backward_demodulation,[status(thm)],[f4505,f3047]) ).

fof(f4709,plain,
    op2(h2(e10),e22) = op2(e22,e20),
    inference(backward_demodulation,[status(thm)],[f4505,f3044]) ).

fof(f4710,plain,
    op2(e20,e21) = op2(e22,h8(e11)),
    inference(backward_demodulation,[status(thm)],[f4505,f3042]) ).

fof(f4716,plain,
    h2(e11) != e20,
    inference(backward_demodulation,[status(thm)],[f4505,f2400]) ).

fof(f4721,plain,
    ( sP37_prd
    | sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | e20 != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | e20 != op2(h2(e10),h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f4505,f4704]) ).

fof(f4722,plain,
    ( sP37_prd
    | sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | e20 != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | e20 != op2(e20,h2(e10)) ),
    inference(forward_demodulation,[status(thm)],[f4505,f4721]) ).

fof(f4723,plain,
    ( sP37_prd
    | sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | e20 != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | e20 != op2(e20,e20) ),
    inference(forward_demodulation,[status(thm)],[f4505,f4722]) ).

fof(f4724,plain,
    ( sP37_prd
    | sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | e20 != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(h2(e10),h12(e11))
    | e20 != h4(e10) ),
    inference(forward_demodulation,[status(thm)],[f452,f4723]) ).

fof(f4725,plain,
    ( sP37_prd
    | sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | e20 != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,h2(e10))
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(e20,h12(e11))
    | e20 != h4(e10) ),
    inference(forward_demodulation,[status(thm)],[f4505,f4724]) ).

fof(f4726,plain,
    ( sP37_prd
    | sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | e20 != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != op2(e22,e20)
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(e20,h12(e11))
    | e20 != h4(e10) ),
    inference(forward_demodulation,[status(thm)],[f4505,f4725]) ).

fof(f4727,plain,
    ( sP37_prd
    | sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | e20 != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),h2(e10))
    | h12(op1(e10,e13)) != h6(e11)
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(e20,h12(e11))
    | e20 != h4(e10) ),
    inference(forward_demodulation,[status(thm)],[f3220,f4726]) ).

fof(f4728,plain,
    ( sP37_prd
    | sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | e20 != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(h12(e11),e20)
    | h12(op1(e10,e13)) != h6(e11)
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(e20,h12(e11))
    | e20 != h4(e10) ),
    inference(forward_demodulation,[status(thm)],[f4505,f4727]) ).

fof(f4729,plain,
    ( sP37_prd
    | sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | e20 != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | h2(e10) != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(e23,h6(e11))
    | h12(op1(e10,e13)) != h6(e11)
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(e20,h12(e11))
    | e20 != h4(e10) ),
    inference(forward_demodulation,[status(thm)],[f3474,f4728]) ).

fof(f4730,plain,
    ( sP37_prd
    | sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | e20 != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,h2(e10))
    | h12(op1(e11,e12)) != h11(e11)
    | e20 != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(e23,h6(e11))
    | h12(op1(e10,e13)) != h6(e11)
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(e20,h12(e11))
    | e20 != h4(e10) ),
    inference(forward_demodulation,[status(thm)],[f4505,f4729]) ).

fof(f4731,plain,
    ( sP37_prd
    | sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | e20 != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != op2(e23,e20)
    | h12(op1(e11,e12)) != h11(e11)
    | e20 != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(e23,h6(e11))
    | h12(op1(e10,e13)) != h6(e11)
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(e20,h12(e11))
    | e20 != h4(e10) ),
    inference(forward_demodulation,[status(thm)],[f4505,f4730]) ).

fof(f4732,plain,
    ( sP37_prd
    | sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | e20 != e20
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != h3(e11)
    | h12(op1(e11,e12)) != h11(e11)
    | e20 != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(e23,h6(e11))
    | h12(op1(e10,e13)) != h6(e11)
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(e20,h12(e11))
    | e20 != h4(e10) ),
    inference(forward_demodulation,[status(thm)],[f3650,f4731]) ).

fof(f4733,plain,
    ( sP37_prd
    | sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != h3(e11)
    | h12(op1(e11,e12)) != h11(e11)
    | e20 != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(e23,h6(e11))
    | h12(op1(e10,e13)) != h6(e11)
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(e20,h12(e11))
    | e20 != h4(e10) ),
    inference(trivial_equality_resolution,[status(thm)],[f4732]) ).

fof(f4734,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != h3(e11)
    | h12(op1(e11,e12)) != h11(e11)
    | e20 != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(e23,h6(e11))
    | h12(op1(e10,e13)) != h6(e11)
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(e20,h12(e11))
    | e20 != h4(e10) ),
    inference(forward_subsumption_resolution,[status(thm)],[f4733,f1292]) ).

fof(f4735,plain,
    op2(h12(e11),e22) = h3(e11),
    inference(forward_demodulation,[status(thm)],[f3650,f4705]) ).

fof(f4736,plain,
    h3(e11) = h8(e11),
    inference(forward_demodulation,[status(thm)],[f449,f4708]) ).

fof(f4737,plain,
    op2(e20,e22) = op2(e22,e20),
    inference(forward_demodulation,[status(thm)],[f4505,f4709]) ).

fof(f4738,plain,
    h2(e11) = op2(e22,e20),
    inference(forward_demodulation,[status(thm)],[f445,f4737]) ).

fof(f4739,plain,
    h1(e11) = op2(e22,h8(e11)),
    inference(forward_demodulation,[status(thm)],[f441,f4710]) ).

fof(f4743,plain,
    op2(h11(e11),e21) = op2(e23,e20),
    inference(backward_demodulation,[status(thm)],[f4508,f3350]) ).

fof(f4762,plain,
    h11(e10) = e20,
    inference(backward_demodulation,[status(thm)],[f4508,f1526]) ).

fof(f4764,plain,
    e20 = op2(e21,e21),
    inference(backward_demodulation,[status(thm)],[f4508,f440]) ).

fof(f4781,plain,
    op2(h11(e11),e21) = h3(e11),
    inference(forward_demodulation,[status(thm)],[f3650,f4743]) ).

fof(f4803,plain,
    op2(e20,e22) = op2(e20,h2(e11)),
    inference(backward_demodulation,[status(thm)],[f4509,f1963]) ).

fof(f4804,plain,
    op2(e20,e21) = op2(e20,h1(e11)),
    inference(backward_demodulation,[status(thm)],[f4509,f1959]) ).

fof(f4827,plain,
    h2(e11) = op2(e20,h2(e11)),
    inference(forward_demodulation,[status(thm)],[f445,f4803]) ).

fof(f4828,plain,
    h1(e11) = op2(e20,h1(e11)),
    inference(forward_demodulation,[status(thm)],[f441,f4804]) ).

fof(f4904,plain,
    h3(e11) = op2(e22,e21),
    inference(backward_demodulation,[status(thm)],[f4736,f469]) ).

fof(f4906,plain,
    h6(e11) = h2(e11),
    inference(backward_demodulation,[status(thm)],[f4738,f3220]) ).

fof(f5036,plain,
    op1(e11,e13) = op1(e10,e12),
    inference(backward_demodulation,[status(thm)],[f3891,f1254]) ).

fof(f5110,plain,
    h1(e11) = op2(e22,h3(e11)),
    inference(forward_demodulation,[status(thm)],[f4736,f4739]) ).

fof(f5117,plain,
    ( h11(e13) = e22
    | h11(e12) = e22
    | h11(e11) = e22
    | e20 = e22
    | sP34_prd ),
    inference(forward_demodulation,[status(thm)],[f4762,f787]) ).

fof(f5118,plain,
    ( h11(e13) = e22
    | e23 = e22
    | h11(e11) = e22
    | e20 = e22
    | sP34_prd ),
    inference(forward_demodulation,[status(thm)],[f478,f5117]) ).

fof(f5119,plain,
    ( e21 = e22
    | e23 = e22
    | h11(e11) = e22
    | e20 = e22
    | sP34_prd ),
    inference(forward_demodulation,[status(thm)],[f479,f5118]) ).

fof(f5120,plain,
    ( e21 = e22
    | e23 = e22
    | h11(e11) = e22
    | sP34_prd ),
    inference(forward_subsumption_resolution,[status(thm)],[f5119,f401]) ).

fof(f5125,plain,
    ( e21 = e22
    | e23 = e22
    | sP34_prd
    | h1(e11) = op2(e23,e22) ),
    inference(paramodulation,[status(thm)],[f5120,f3643]) ).

fof(f5130,plain,
    ( e21 = e22
    | e23 = e22
    | sP34_prd
    | h1(e11) = h12(e11) ),
    inference(forward_demodulation,[status(thm)],[f485,f5125]) ).

fof(f5131,plain,
    ( e21 = e22
    | sP34_prd
    | h1(e11) = h12(e11) ),
    inference(forward_subsumption_resolution,[status(thm)],[f5130,f405]) ).

fof(f5433,plain,
    op1(e10,e10) = op1(e12,op1(e11,e13)),
    inference(forward_demodulation,[status(thm)],[f3866,f1245]) ).

fof(f5434,plain,
    e10 = op1(e12,op1(e11,e13)),
    inference(forward_demodulation,[status(thm)],[f3868,f5433]) ).

fof(f5435,plain,
    e10 = op1(e12,op1(e10,e12)),
    inference(forward_demodulation,[status(thm)],[f5036,f5434]) ).

fof(f5538,plain,
    op1(e11,op1(e13,e12)) = e10,
    inference(forward_demodulation,[status(thm)],[f5435,f1257]) ).

fof(f5556,plain,
    op1(e11,op1(e10,e13)) = op1(e12,op1(e10,e10)),
    inference(forward_demodulation,[status(thm)],[f1416,f1259]) ).

fof(f5557,plain,
    op1(e11,op1(e10,e13)) = op1(e12,e10),
    inference(forward_demodulation,[status(thm)],[f3868,f5556]) ).

fof(f5558,plain,
    op1(e11,op1(e10,e13)) = op1(e10,e12),
    inference(forward_demodulation,[status(thm)],[f3891,f5557]) ).

fof(f5612,plain,
    op1(op1(e10,e12),e10) = op1(e10,op1(e10,e12)),
    inference(forward_demodulation,[status(thm)],[f5036,f1252]) ).

fof(f5679,plain,
    ( sP34_prd
    | h1(e11) = h12(e11) ),
    inference(forward_subsumption_resolution,[status(thm)],[f5131,f403]) ).

fof(f5691,plain,
    ( sP34_prd
    | h1(e11) != e21
    | ~ sP36_prd ),
    inference(paramodulation,[status(thm)],[f5679,f796]) ).

fof(f5736,plain,
    op1(op1(e10,e12),e10) = op1(e11,op1(e10,e13)),
    inference(forward_demodulation,[status(thm)],[f5036,f1413]) ).

fof(f5737,plain,
    op1(e10,op1(e10,e12)) = op1(e11,op1(e10,e13)),
    inference(forward_demodulation,[status(thm)],[f5612,f5736]) ).

fof(f5739,plain,
    op1(e10,op1(e10,e12)) = op1(e10,e12),
    inference(forward_demodulation,[status(thm)],[f5558,f5737]) ).

fof(f5741,plain,
    ( op1(e10,e13) = e13
    | op1(e10,e13) = e12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2013,f2015]) ).

fof(f5823,plain,
    ( op1(e11,e13) = e13
    | op1(e11,e13) = e12
    | op1(e10,e12) = e10 ),
    inference(forward_demodulation,[status(thm)],[f5036,f2016]) ).

fof(f5824,plain,
    ( op1(e11,e13) = e13
    | op1(e10,e12) = e12
    | op1(e10,e12) = e10 ),
    inference(forward_demodulation,[status(thm)],[f5036,f5823]) ).

fof(f5825,plain,
    ( op1(e10,e12) = e13
    | op1(e10,e12) = e12
    | op1(e10,e12) = e10 ),
    inference(forward_demodulation,[status(thm)],[f5036,f5824]) ).

fof(f5826,plain,
    ( op1(e10,e12) = e13
    | op1(e10,e12) = e12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f5825,f3877]) ).

fof(f5827,plain,
    ( op1(e10,e12) = e12
    | op1(e10,e13) = op1(e10,e12) ),
    inference(paramodulation,[status(thm)],[f5826,f5739]) ).

fof(f5835,plain,
    op1(e10,e12) = e12,
    inference(forward_subsumption_resolution,[status(thm)],[f5827,f327]) ).

fof(f5853,plain,
    op1(e11,e13) = e12,
    inference(backward_demodulation,[status(thm)],[f5835,f5036]) ).

fof(f5856,plain,
    e12 != op1(e10,e13),
    inference(backward_demodulation,[status(thm)],[f5835,f327]) ).

fof(f5858,plain,
    e12 != op1(e13,e12),
    inference(backward_demodulation,[status(thm)],[f5835,f312]) ).

fof(f5861,plain,
    op1(e12,e13) = op1(e10,e11),
    inference(backward_demodulation,[status(thm)],[f5835,f993]) ).

fof(f5866,plain,
    e11 = op1(e10,e11),
    inference(forward_demodulation,[status(thm)],[f435,f5861]) ).

fof(f5867,plain,
    op1(e10,e13) = e13,
    inference(backward_subsumption_resolution,[status(thm)],[f5741,f5856]) ).

fof(f5877,plain,
    ( op1(e13,e12) = e13
    | op1(e13,e12) = e11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2229,f5858]) ).

fof(f5879,plain,
    ( op1(e13,e12) = e11
    | op1(e11,e13) = e10 ),
    inference(paramodulation,[status(thm)],[f5877,f5538]) ).

fof(f5887,plain,
    ( op1(e13,e12) = e11
    | e12 = e10 ),
    inference(forward_demodulation,[status(thm)],[f5853,f5879]) ).

fof(f5888,plain,
    op1(e13,e12) = e11,
    inference(forward_subsumption_resolution,[status(thm)],[f5887,f395]) ).

fof(f5960,plain,
    e11 = op1(e11,e10),
    inference(backward_demodulation,[status(thm)],[f5866,f3910]) ).

fof(f5972,plain,
    e13 = op1(e12,e11),
    inference(backward_demodulation,[status(thm)],[f5867,f3879]) ).

fof(f5987,plain,
    op1(e11,e13) = op1(e13,e11),
    inference(backward_demodulation,[status(thm)],[f5888,f1374]) ).

fof(f5989,plain,
    e12 = op1(e13,e11),
    inference(forward_demodulation,[status(thm)],[f5853,f5987]) ).

fof(f5990,plain,
    ( h3(e11) = e23
    | h3(e11) = e22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2509,f2515]) ).

fof(f5993,plain,
    ( h3(e11) = e22
    | h1(e11) = op2(e22,e23) ),
    inference(paramodulation,[status(thm)],[f5990,f5110]) ).

fof(f6005,plain,
    ( h3(e11) = e22
    | h1(e11) = e21 ),
    inference(forward_demodulation,[status(thm)],[f437,f5993]) ).

fof(f6006,plain,
    h1(e11) = e21,
    inference(forward_subsumption_resolution,[status(thm)],[f6005,f4510]) ).

fof(f6011,plain,
    ( h6(e11) = e23
    | h6(e11) = e22
    | h2(e11) = e20 ),
    inference(forward_demodulation,[status(thm)],[f4906,f2528]) ).

fof(f6012,plain,
    ( h6(e11) = e23
    | h2(e11) = e22
    | h2(e11) = e20 ),
    inference(forward_demodulation,[status(thm)],[f4906,f6011]) ).

fof(f6013,plain,
    ( h2(e11) = e23
    | h2(e11) = e22
    | h2(e11) = e20 ),
    inference(forward_demodulation,[status(thm)],[f4906,f6012]) ).

fof(f6014,plain,
    ( h2(e11) = e23
    | h2(e11) = e22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6013,f4716]) ).

fof(f6018,plain,
    ( h2(e11) = e22
    | h2(e11) = op2(e20,e23) ),
    inference(paramodulation,[status(thm)],[f6014,f4827]) ).

fof(f6031,plain,
    ( h2(e11) = e22
    | h2(e11) = h3(e11) ),
    inference(forward_demodulation,[status(thm)],[f449,f6018]) ).

fof(f6032,plain,
    h2(e11) = e22,
    inference(forward_subsumption_resolution,[status(thm)],[f6031,f2710]) ).

fof(f6044,plain,
    ( sP34_prd
    | e21 != e21
    | ~ sP36_prd ),
    inference(backward_demodulation,[status(thm)],[f6006,f5691]) ).

fof(f6047,plain,
    h1(e11) = op2(e20,e21),
    inference(backward_demodulation,[status(thm)],[f6006,f4828]) ).

fof(f6061,plain,
    e21 != h11(e11),
    inference(backward_demodulation,[status(thm)],[f6006,f2377]) ).

fof(f6068,plain,
    ( sP34_prd
    | ~ sP36_prd ),
    inference(trivial_equality_resolution,[status(thm)],[f6044]) ).

fof(f6069,plain,
    e21 = op2(e20,e21),
    inference(forward_demodulation,[status(thm)],[f6006,f6047]) ).

fof(f6092,plain,
    h6(e11) = e22,
    inference(backward_demodulation,[status(thm)],[f6032,f4906]) ).

fof(f6097,plain,
    e22 != h12(e11),
    inference(backward_demodulation,[status(thm)],[f6032,f2404]) ).

fof(f6180,plain,
    ( h11(e11) = e23
    | h11(e11) = e22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3183,f6061]) ).

fof(f6184,plain,
    ( h11(e11) = e22
    | op2(e23,e21) = h3(e11) ),
    inference(paramodulation,[status(thm)],[f6180,f4781]) ).

fof(f6193,plain,
    ( h11(e11) = e22
    | h11(e11) = h3(e11) ),
    inference(forward_demodulation,[status(thm)],[f481,f6184]) ).

fof(f6194,plain,
    h11(e11) = e22,
    inference(forward_subsumption_resolution,[status(thm)],[f6193,f3717]) ).

fof(f6198,plain,
    ( h12(e11) = e23
    | h12(e11) = e21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3186,f6097]) ).

fof(f6202,plain,
    ( h12(e11) = e21
    | op2(e23,e22) = h3(e11) ),
    inference(paramodulation,[status(thm)],[f6198,f4735]) ).

fof(f6213,plain,
    ( h12(e11) = e21
    | h12(e11) = h3(e11) ),
    inference(forward_demodulation,[status(thm)],[f485,f6202]) ).

fof(f6214,plain,
    h12(e11) = e21,
    inference(forward_subsumption_resolution,[status(thm)],[f6213,f3715]) ).

fof(f6233,plain,
    ( e22 != e22
    | ~ sP34_prd ),
    inference(backward_demodulation,[status(thm)],[f6194,f784]) ).

fof(f6235,plain,
    ~ sP34_prd,
    inference(trivial_equality_resolution,[status(thm)],[f6233]) ).

fof(f6236,plain,
    ~ sP36_prd,
    inference(backward_subsumption_resolution,[status(thm)],[f6068,f6235]) ).

fof(f6288,plain,
    e21 = op2(e23,e22),
    inference(backward_demodulation,[status(thm)],[f6214,f485]) ).

fof(f6302,plain,
    op2(e21,e22) = op2(e22,h1(e11)),
    inference(forward_demodulation,[status(thm)],[f6194,f3284]) ).

fof(f6303,plain,
    h5(e11) = op2(e22,h1(e11)),
    inference(forward_demodulation,[status(thm)],[f457,f6302]) ).

fof(f6304,plain,
    h5(e11) = op2(e22,e21),
    inference(forward_demodulation,[status(thm)],[f6006,f6303]) ).

fof(f6310,plain,
    h5(e11) = h3(e11),
    inference(forward_demodulation,[status(thm)],[f4904,f6304]) ).

fof(f6397,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != h3(e11)
    | h12(op1(e11,e12)) != h11(e11)
    | e20 != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(e23,h6(e11))
    | h12(op1(e10,e13)) != h6(e11)
    | h12(op1(e10,e12)) != h8(e11)
    | h12(op1(e10,e11)) != op2(e20,h12(e11))
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f4509,f4734]) ).

fof(f6398,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != h3(e11)
    | h12(op1(e11,e12)) != h11(e11)
    | e20 != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(e23,h6(e11))
    | h12(op1(e10,e13)) != h6(e11)
    | h12(op1(e10,e12)) != h8(e11)
    | h12(e11) != op2(e20,h12(e11))
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f5866,f6397]) ).

fof(f6399,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != h3(e11)
    | h12(op1(e11,e12)) != h11(e11)
    | e20 != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(e23,h6(e11))
    | h12(op1(e10,e13)) != h6(e11)
    | h12(op1(e10,e12)) != h8(e11)
    | e21 != op2(e20,h12(e11))
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f6214,f6398]) ).

fof(f6400,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != h3(e11)
    | h12(op1(e11,e12)) != h11(e11)
    | e20 != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(e23,h6(e11))
    | h12(op1(e10,e13)) != h6(e11)
    | h12(op1(e10,e12)) != h8(e11)
    | e21 != op2(e20,e21)
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f6214,f6399]) ).

fof(f6401,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != h3(e11)
    | h12(op1(e11,e12)) != h11(e11)
    | e20 != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(e23,h6(e11))
    | h12(op1(e10,e13)) != h6(e11)
    | h12(op1(e10,e12)) != h8(e11)
    | e21 != e21
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f6069,f6400]) ).

fof(f6402,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != h3(e11)
    | h12(op1(e11,e12)) != h11(e11)
    | e20 != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(e23,h6(e11))
    | h12(op1(e10,e13)) != h6(e11)
    | h12(e12) != h8(e11)
    | e21 != e21
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f5835,f6401]) ).

fof(f6403,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != h3(e11)
    | h12(op1(e11,e12)) != h11(e11)
    | e20 != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(e23,h6(e11))
    | h12(op1(e10,e13)) != h6(e11)
    | e23 != h8(e11)
    | e21 != e21
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f482,f6402]) ).

fof(f6404,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != h3(e11)
    | h12(op1(e11,e12)) != h11(e11)
    | e20 != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(e23,h6(e11))
    | h12(op1(e10,e13)) != h6(e11)
    | e23 != h3(e11)
    | e21 != e21
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f4736,f6403]) ).

fof(f6405,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != h3(e11)
    | h12(op1(e11,e12)) != h11(e11)
    | e20 != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(e23,h6(e11))
    | h12(e13) != h6(e11)
    | e23 != h3(e11)
    | e21 != e21
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f5867,f6404]) ).

fof(f6406,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != h3(e11)
    | h12(op1(e11,e12)) != h11(e11)
    | e20 != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(e23,h6(e11))
    | e22 != h6(e11)
    | e23 != h3(e11)
    | e21 != e21
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f483,f6405]) ).

fof(f6407,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != h3(e11)
    | h12(op1(e11,e12)) != h11(e11)
    | e20 != op2(h12(e11),h12(e11))
    | h12(op1(e11,e10)) != op2(e23,h6(e11))
    | e22 != e22
    | e23 != h3(e11)
    | e21 != e21
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f6092,f6406]) ).

fof(f6408,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != h3(e11)
    | h12(op1(e11,e12)) != h11(e11)
    | e20 != op2(h12(e11),h12(e11))
    | h12(e11) != op2(e23,h6(e11))
    | e22 != e22
    | e23 != h3(e11)
    | e21 != e21
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f5960,f6407]) ).

fof(f6409,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != h3(e11)
    | h12(op1(e11,e12)) != h11(e11)
    | e20 != op2(h12(e11),h12(e11))
    | e21 != op2(e23,h6(e11))
    | e22 != e22
    | e23 != h3(e11)
    | e21 != e21
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f6214,f6408]) ).

fof(f6410,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != h3(e11)
    | h12(op1(e11,e12)) != h11(e11)
    | e20 != op2(h12(e11),h12(e11))
    | e21 != op2(e23,e22)
    | e22 != e22
    | e23 != h3(e11)
    | e21 != e21
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f6092,f6409]) ).

fof(f6411,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != h3(e11)
    | h12(op1(e11,e12)) != h11(e11)
    | e20 != op2(h12(e11),h12(e11))
    | e21 != e21
    | e22 != e22
    | e23 != h3(e11)
    | e21 != e21
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f6288,f6410]) ).

fof(f6412,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != h3(e11)
    | h12(op1(e11,e12)) != h11(e11)
    | e20 != op2(e21,h12(e11))
    | e21 != e21
    | e22 != e22
    | e23 != h3(e11)
    | e21 != e21
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f6214,f6411]) ).

fof(f6413,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != h3(e11)
    | h12(op1(e11,e12)) != h11(e11)
    | e20 != op2(e21,e21)
    | e21 != e21
    | e22 != e22
    | e23 != h3(e11)
    | e21 != e21
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f6214,f6412]) ).

fof(f6414,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != h3(e11)
    | h12(op1(e11,e12)) != h11(e11)
    | e20 != e20
    | e21 != e21
    | e22 != e22
    | e23 != h3(e11)
    | e21 != e21
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f4764,f6413]) ).

fof(f6415,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e12,e11)) != h2(e11)
    | h12(op1(e11,e13)) != h3(e11)
    | h12(op1(e11,e12)) != e22
    | e20 != e20
    | e21 != e21
    | e22 != e22
    | e23 != h3(e11)
    | e21 != e21
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f6194,f6414]) ).

fof(f6416,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e12,e11)) != h2(e11)
    | h12(e12) != h3(e11)
    | h12(op1(e11,e12)) != e22
    | e20 != e20
    | e21 != e21
    | e22 != e22
    | e23 != h3(e11)
    | e21 != e21
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f5853,f6415]) ).

fof(f6417,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(op1(e12,e11)) != h2(e11)
    | e23 != h3(e11)
    | h12(op1(e11,e12)) != e22
    | e20 != e20
    | e21 != e21
    | e22 != e22
    | e23 != h3(e11)
    | e21 != e21
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f482,f6416]) ).

fof(f6418,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | h12(e13) != h2(e11)
    | e23 != h3(e11)
    | h12(op1(e11,e12)) != e22
    | e20 != e20
    | e21 != e21
    | e22 != e22
    | e23 != h3(e11)
    | e21 != e21
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f5972,f6417]) ).

fof(f6419,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | e22 != h2(e11)
    | e23 != h3(e11)
    | h12(op1(e11,e12)) != e22
    | e20 != e20
    | e21 != e21
    | e22 != e22
    | e23 != h3(e11)
    | e21 != e21
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f483,f6418]) ).

fof(f6420,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(op1(e13,e11)) != h5(e11)
    | e22 != e22
    | e23 != h3(e11)
    | h12(op1(e11,e12)) != e22
    | e20 != e20
    | e21 != e21
    | e22 != e22
    | e23 != h3(e11)
    | e21 != e21
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f6032,f6419]) ).

fof(f6421,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | h12(e12) != h5(e11)
    | e22 != e22
    | e23 != h3(e11)
    | h12(op1(e11,e12)) != e22
    | e20 != e20
    | e21 != e21
    | e22 != e22
    | e23 != h3(e11)
    | e21 != e21
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f5989,f6420]) ).

fof(f6422,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | e23 != h5(e11)
    | e22 != e22
    | e23 != h3(e11)
    | h12(op1(e11,e12)) != e22
    | e20 != e20
    | e21 != e21
    | e22 != e22
    | e23 != h3(e11)
    | e21 != e21
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f482,f6421]) ).

fof(f6423,plain,
    ( sP36_prd
    | h12(op1(e13,e12)) != e21
    | e23 != h3(e11)
    | e22 != e22
    | e23 != h3(e11)
    | h12(op1(e11,e12)) != e22
    | e20 != e20
    | e21 != e21
    | e22 != e22
    | e23 != h3(e11)
    | e21 != e21
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f6310,f6422]) ).

fof(f6424,plain,
    ( sP36_prd
    | h12(e11) != e21
    | e23 != h3(e11)
    | e22 != e22
    | e23 != h3(e11)
    | h12(op1(e11,e12)) != e22
    | e20 != e20
    | e21 != e21
    | e22 != e22
    | e23 != h3(e11)
    | e21 != e21
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f5888,f6423]) ).

fof(f6425,plain,
    ( sP36_prd
    | e21 != e21
    | e23 != h3(e11)
    | e22 != e22
    | e23 != h3(e11)
    | h12(op1(e11,e12)) != e22
    | e20 != e20
    | e21 != e21
    | e22 != e22
    | e23 != h3(e11)
    | e21 != e21
    | e20 != e20 ),
    inference(forward_demodulation,[status(thm)],[f6214,f6424]) ).

fof(f6426,plain,
    ( sP36_prd
    | h12(op1(e11,e12)) != e22
    | e22 != e22
    | e23 != h3(e11)
    | e21 != e21
    | e20 != e20 ),
    inference(duplicate_literals_removal,[status(thm)],[f6425]) ).

fof(f6427,plain,
    ( sP36_prd
    | h12(op1(e11,e12)) != e22
    | e23 != h3(e11) ),
    inference(trivial_equality_resolution,[status(thm)],[f6426]) ).

fof(f6428,plain,
    ( h12(op1(e11,e12)) != e22
    | e23 != h3(e11) ),
    inference(forward_subsumption_resolution,[status(thm)],[f6427,f6236]) ).

fof(f6431,plain,
    op1(e11,e12) = op1(e10,e13),
    inference(forward_demodulation,[status(thm)],[f5888,f3890]) ).

fof(f6432,plain,
    ( h12(e13) != e22
    | e23 != h3(e11) ),
    inference(backward_demodulation,[status(thm)],[f6437,f6428]) ).

fof(f6437,plain,
    op1(e11,e12) = e13,
    inference(forward_demodulation,[status(thm)],[f5867,f6431]) ).

fof(f6438,plain,
    ( e22 != e22
    | e23 != h3(e11) ),
    inference(forward_demodulation,[status(thm)],[f483,f6432]) ).

fof(f6439,plain,
    e23 != h3(e11),
    inference(trivial_equality_resolution,[status(thm)],[f6438]) ).

fof(f6442,plain,
    h3(e11) = e22,
    inference(backward_subsumption_resolution,[status(thm)],[f5990,f6439]) ).

fof(f6443,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f6442,f4510]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ALG015+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35  % Computer : n014.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Mon Sep 21 12:52:34 UTC 2026
% 0.10/0.35  % CPUTime  : 
% 0.13/0.39  % Drodi V4.1.1
% 1.22/0.60  % Refutation found
% 1.22/0.60  % SZS status Theorem for theBenchmark: Theorem is valid
% 1.22/0.60  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.22/0.63  % Elapsed time: 0.265049 seconds
% 1.22/0.63  % CPU time: 1.621138 seconds
% 1.22/0.63  % Total memory used: 174.935 MB
% 1.22/0.63  % Net memory used: 173.085 MB
%------------------------------------------------------------------------------