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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : ALG110+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 : n026.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 11:48:14 AM UTC 2026

% Result   : Theorem 0.09s 0.49s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  118
%            Number of leaves      :   45
% Syntax   : Number of formulae    :  565 ( 161 unt;  28 def)
%            Number of atoms       : 3617 (3289 equ)
%            Maximal formula atoms :  128 (   6 avg)
%            Number of connectives : 5064 (2012   ~;2382   |; 634   &)
%                                         (  36 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   6 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   30 (  28 usr;  29 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

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

fof(f3,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(f4,axiom,
    ( ( op2(e23,e23) = e23
      | op2(e22,e23) = e23
      | op2(e21,e23) = e23
      | op2(e20,e23) = e23 )
    & ( op2(e23,e23) = e23
      | op2(e23,e22) = e23
      | op2(e23,e21) = e23
      | op2(e23,e20) = e23 )
    & ( op2(e23,e23) = e22
      | op2(e22,e23) = e22
      | op2(e21,e23) = e22
      | op2(e20,e23) = e22 )
    & ( op2(e23,e23) = e22
      | op2(e23,e22) = e22
      | op2(e23,e21) = e22
      | op2(e23,e20) = e22 )
    & ( op2(e23,e23) = e21
      | op2(e22,e23) = e21
      | op2(e21,e23) = e21
      | op2(e20,e23) = e21 )
    & ( op2(e23,e23) = e21
      | op2(e23,e22) = e21
      | op2(e23,e21) = e21
      | op2(e23,e20) = e21 )
    & ( op2(e23,e23) = e20
      | op2(e22,e23) = e20
      | op2(e21,e23) = e20
      | op2(e20,e23) = e20 )
    & ( op2(e23,e23) = e20
      | op2(e23,e22) = e20
      | op2(e23,e21) = e20
      | op2(e23,e20) = e20 )
    & ( op2(e23,e22) = e23
      | op2(e22,e22) = e23
      | op2(e21,e22) = e23
      | op2(e20,e22) = e23 )
    & ( op2(e22,e23) = e23
      | op2(e22,e22) = e23
      | op2(e22,e21) = e23
      | op2(e22,e20) = e23 )
    & ( op2(e23,e22) = e22
      | op2(e22,e22) = e22
      | op2(e21,e22) = e22
      | op2(e20,e22) = e22 )
    & ( op2(e22,e23) = e22
      | op2(e22,e22) = e22
      | op2(e22,e21) = e22
      | op2(e22,e20) = e22 )
    & ( op2(e23,e22) = e21
      | op2(e22,e22) = e21
      | op2(e21,e22) = e21
      | op2(e20,e22) = e21 )
    & ( op2(e22,e23) = e21
      | op2(e22,e22) = e21
      | op2(e22,e21) = e21
      | op2(e22,e20) = e21 )
    & ( op2(e23,e22) = e20
      | op2(e22,e22) = e20
      | op2(e21,e22) = e20
      | op2(e20,e22) = e20 )
    & ( op2(e22,e23) = e20
      | op2(e22,e22) = e20
      | op2(e22,e21) = e20
      | op2(e22,e20) = e20 )
    & ( op2(e23,e21) = e23
      | op2(e22,e21) = e23
      | op2(e21,e21) = e23
      | op2(e20,e21) = e23 )
    & ( op2(e21,e23) = e23
      | op2(e21,e22) = e23
      | op2(e21,e21) = e23
      | op2(e21,e20) = e23 )
    & ( op2(e23,e21) = e22
      | op2(e22,e21) = e22
      | op2(e21,e21) = e22
      | op2(e20,e21) = e22 )
    & ( op2(e21,e23) = e22
      | op2(e21,e22) = e22
      | op2(e21,e21) = e22
      | op2(e21,e20) = e22 )
    & ( op2(e23,e21) = e21
      | op2(e22,e21) = e21
      | op2(e21,e21) = e21
      | op2(e20,e21) = e21 )
    & ( op2(e21,e23) = e21
      | op2(e21,e22) = e21
      | op2(e21,e21) = e21
      | op2(e21,e20) = e21 )
    & ( op2(e23,e21) = e20
      | op2(e22,e21) = e20
      | op2(e21,e21) = e20
      | op2(e20,e21) = e20 )
    & ( op2(e21,e23) = e20
      | op2(e21,e22) = e20
      | op2(e21,e21) = e20
      | op2(e21,e20) = e20 )
    & ( op2(e23,e20) = e23
      | op2(e22,e20) = e23
      | op2(e21,e20) = e23
      | op2(e20,e20) = e23 )
    & ( op2(e20,e23) = e23
      | op2(e20,e22) = e23
      | op2(e20,e21) = e23
      | op2(e20,e20) = e23 )
    & ( op2(e23,e20) = e22
      | op2(e22,e20) = e22
      | op2(e21,e20) = e22
      | op2(e20,e20) = e22 )
    & ( op2(e20,e23) = e22
      | op2(e20,e22) = e22
      | op2(e20,e21) = e22
      | op2(e20,e20) = e22 )
    & ( op2(e23,e20) = e21
      | op2(e22,e20) = e21
      | op2(e21,e20) = e21
      | op2(e20,e20) = e21 )
    & ( op2(e20,e23) = e21
      | op2(e20,e22) = e21
      | op2(e20,e21) = e21
      | op2(e20,e20) = e21 )
    & ( op2(e23,e20) = e20
      | op2(e22,e20) = e20
      | op2(e21,e20) = e20
      | op2(e20,e20) = e20 )
    & ( op2(e20,e23) = e20
      | op2(e20,e22) = e20
      | op2(e20,e21) = e20
      | op2(e20,e20) = e20 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,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(f6,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(f7,axiom,
    ( e12 != e13
    & e11 != e13
    & e11 != e12
    & e10 != e13
    & e10 != e12
    & e10 != e11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

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

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

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

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

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

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

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

fof(f18,conjecture,
    ( ( ( 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(f19,negated_conjecture,
    ~ ( ( ( 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)],[f18]) ).

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

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

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

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

fof(f42,plain,
    ( op1(e10,e13) = e13
    | op1(e10,e12) = e13
    | op1(e10,e11) = e13
    | op1(e10,e10) = e13 ),
    inference(cnf_transformation,[status(thm)],[f2]) ).

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

fof(f50,plain,
    ( op1(e11,e13) = e13
    | op1(e11,e12) = e13
    | op1(e11,e11) = e13
    | op1(e11,e10) = e13 ),
    inference(cnf_transformation,[status(thm)],[f2]) ).

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

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

fof(f64,plain,
    ( op1(e13,e13) = e12
    | op1(e13,e12) = e12
    | op1(e13,e11) = e12
    | op1(e13,e10) = e12 ),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f68,plain,
    ( op2(e20,e20) = e23
    | op2(e20,e20) = e22
    | op2(e20,e20) = e21
    | op2(e20,e20) = e20 ),
    inference(cnf_transformation,[status(thm)],[f3]) ).

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

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

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

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

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

fof(f90,plain,
    ( op2(e20,e23) = e23
    | op2(e20,e22) = e23
    | op2(e20,e21) = e23
    | op2(e20,e20) = e23 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

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

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

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

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

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

fof(f118,plain,
    op1(e10,e10) != op1(e13,e10),
    inference(cnf_transformation,[status(thm)],[f5]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f156,plain,
    op1(e12,e11) != op1(e12,e13),
    inference(cnf_transformation,[status(thm)],[f5]) ).

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

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

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

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

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

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

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

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

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

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

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

fof(f188,plain,
    op2(e20,e20) != op2(e20,e21),
    inference(cnf_transformation,[status(thm)],[f6]) ).

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

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

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

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

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

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

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

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

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

fof(f208,plain,
    op2(e23,e20) != op2(e23,e23),
    inference(cnf_transformation,[status(thm)],[f6]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f240,definition,
    ( sP0_prd
  <=> ( ( op1(e10,e12) != e10
        & op1(e12,e10) = e12 )
      | ( op1(e10,e11) != e10
        & op1(e11,e10) = e11 )
      | ( op1(e10,e10) != e10
        & op1(e10,e10) = e10 ) ) ),
    introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).

fof(f241,definition,
    ( sP1_prd
  <=> ( ( op1(e11,e12) != e11
        & op1(e12,e11) = e12 )
      | ( op1(e11,e11) != e11
        & op1(e11,e11) = e11 )
      | ( op1(e11,e10) != e11
        & op1(e10,e11) = e10 ) ) ),
    introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).

fof(f242,definition,
    ( sP2_prd
  <=> ( ( op1(e12,e12) != e12
        & op1(e12,e12) = e12 )
      | ( op1(e12,e11) != e12
        & op1(e11,e12) = e11 )
      | ( op1(e12,e10) != e12
        & op1(e10,e12) = e10 ) ) ),
    introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).

fof(f243,definition,
    ( sP3_prd
  <=> ( ( op1(e13,e12) != e13
        & op1(e12,e13) = e12 )
      | ( op1(e13,e11) != e13
        & op1(e11,e13) = e11 )
      | ( op1(e13,e10) != e13
        & op1(e10,e13) = e10 ) ) ),
    introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).

fof(f244,plain,
    ( ( ( op1(e13,e13) != e13
        & op1(e13,e13) = e13 )
      | sP3_prd )
    & ( ( op1(e12,e13) != e12
        & op1(e13,e12) = e13 )
      | sP2_prd )
    & ( ( op1(e11,e13) != e11
        & op1(e13,e11) = e13 )
      | sP1_prd )
    & ( ( op1(e10,e13) != e10
        & op1(e13,e10) = e13 )
      | sP0_prd ) ),
    inference(formula_renaming,[status(thm)],[f10,f243,f242,f241,f240]) ).

fof(f245,plain,
    ( op1(e13,e10) = e13
    | sP0_prd ),
    inference(cnf_transformation,[status(thm)],[f244]) ).

fof(f247,plain,
    ( op1(e13,e11) = e13
    | sP1_prd ),
    inference(cnf_transformation,[status(thm)],[f244]) ).

fof(f249,plain,
    ( op1(e13,e12) = e13
    | sP2_prd ),
    inference(cnf_transformation,[status(thm)],[f244]) ).

fof(f251,plain,
    ( op1(e13,e13) = e13
    | sP3_prd ),
    inference(cnf_transformation,[status(thm)],[f244]) ).

fof(f252,plain,
    ( op1(e13,e13) != e13
    | sP3_prd ),
    inference(cnf_transformation,[status(thm)],[f244]) ).

fof(f253,definition,
    ( sP4_prd
  <=> ( ( op2(e20,e22) != e20
        & op2(e22,e20) = e22 )
      | ( op2(e20,e21) != e20
        & op2(e21,e20) = e21 )
      | ( op2(e20,e20) != e20
        & op2(e20,e20) = e20 ) ) ),
    introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).

fof(f254,definition,
    ( sP5_prd
  <=> ( ( op2(e21,e22) != e21
        & op2(e22,e21) = e22 )
      | ( op2(e21,e21) != e21
        & op2(e21,e21) = e21 )
      | ( op2(e21,e20) != e21
        & op2(e20,e21) = e20 ) ) ),
    introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).

fof(f255,definition,
    ( sP6_prd
  <=> ( ( op2(e22,e22) != e22
        & op2(e22,e22) = e22 )
      | ( op2(e22,e21) != e22
        & op2(e21,e22) = e21 )
      | ( op2(e22,e20) != e22
        & op2(e20,e22) = e20 ) ) ),
    introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).

fof(f256,definition,
    ( sP7_prd
  <=> ( ( op2(e23,e22) != e23
        & op2(e22,e23) = e22 )
      | ( op2(e23,e21) != e23
        & op2(e21,e23) = e21 )
      | ( op2(e23,e20) != e23
        & op2(e20,e23) = e20 ) ) ),
    introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).

fof(f257,plain,
    ( ( ( op2(e23,e23) != e23
        & op2(e23,e23) = e23 )
      | sP7_prd )
    & ( ( op2(e22,e23) != e22
        & op2(e23,e22) = e23 )
      | sP6_prd )
    & ( ( op2(e21,e23) != e21
        & op2(e23,e21) = e23 )
      | sP5_prd )
    & ( ( op2(e20,e23) != e20
        & op2(e23,e20) = e23 )
      | sP4_prd ) ),
    inference(formula_renaming,[status(thm)],[f11,f256,f255,f254,f253]) ).

fof(f258,plain,
    ( op2(e23,e20) = e23
    | sP4_prd ),
    inference(cnf_transformation,[status(thm)],[f257]) ).

fof(f260,plain,
    ( op2(e23,e21) = e23
    | sP5_prd ),
    inference(cnf_transformation,[status(thm)],[f257]) ).

fof(f262,plain,
    ( op2(e23,e22) = e23
    | sP6_prd ),
    inference(cnf_transformation,[status(thm)],[f257]) ).

fof(f264,plain,
    ( op2(e23,e23) = e23
    | sP7_prd ),
    inference(cnf_transformation,[status(thm)],[f257]) ).

fof(f265,plain,
    ( op2(e23,e23) != e23
    | sP7_prd ),
    inference(cnf_transformation,[status(thm)],[f257]) ).

fof(f266,plain,
    e10 = op1(op1(e12,e12),op1(e12,e12)),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f267,plain,
    e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f268,plain,
    e13 = op1(e12,e12),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f269,plain,
    e20 = op2(op2(e22,e22),op2(e22,e22)),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f270,plain,
    e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f271,plain,
    e23 = op2(e22,e22),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f275,plain,
    h1(e13) = op2(e20,e20),
    inference(cnf_transformation,[status(thm)],[f14]) ).

fof(f279,plain,
    h2(e13) = op2(e21,e21),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f280,plain,
    h3(e12) = e22,
    inference(cnf_transformation,[status(thm)],[f16]) ).

fof(f281,plain,
    h3(e10) = op2(op2(e22,e22),op2(e22,e22)),
    inference(cnf_transformation,[status(thm)],[f16]) ).

fof(f282,plain,
    h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
    inference(cnf_transformation,[status(thm)],[f16]) ).

fof(f283,plain,
    h3(e13) = op2(e22,e22),
    inference(cnf_transformation,[status(thm)],[f16]) ).

fof(f286,plain,
    h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f287,plain,
    h4(e13) = op2(e23,e23),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f288,plain,
    ( ( ( 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)],[f19]) ).

fof(f289,definition,
    ( sP8_prd
  <=> ( h1(e13) != e20
      & h1(e12) != e20
      & h1(e11) != e20
      & h1(e10) != e20 ) ),
    introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).

fof(f290,definition,
    ( sP9_prd
  <=> ( h1(e13) != e21
      & h1(e12) != e21
      & h1(e11) != e21
      & h1(e10) != e21 ) ),
    introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).

fof(f291,definition,
    ( sP10_prd
  <=> ( h1(e13) != e22
      & h1(e12) != e22
      & h1(e11) != e22
      & h1(e10) != e22 ) ),
    introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).

fof(f292,definition,
    ( sP11_prd
  <=> ( h2(e13) != e20
      & h2(e12) != e20
      & h2(e11) != e20
      & h2(e10) != e20 ) ),
    introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).

fof(f293,definition,
    ( sP12_prd
  <=> ( h2(e13) != e21
      & h2(e12) != e21
      & h2(e11) != e21
      & h2(e10) != e21 ) ),
    introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).

fof(f294,definition,
    ( sP13_prd
  <=> ( h2(e13) != e22
      & h2(e12) != e22
      & h2(e11) != e22
      & h2(e10) != e22 ) ),
    introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).

fof(f295,definition,
    ( sP14_prd
  <=> ( h3(e13) != e20
      & h3(e12) != e20
      & h3(e11) != e20
      & h3(e10) != e20 ) ),
    introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).

fof(f296,definition,
    ( sP15_prd
  <=> ( h3(e13) != e21
      & h3(e12) != e21
      & h3(e11) != e21
      & h3(e10) != e21 ) ),
    introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).

fof(f297,definition,
    ( sP16_prd
  <=> ( h3(e13) != e22
      & h3(e12) != e22
      & h3(e11) != e22
      & h3(e10) != e22 ) ),
    introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).

fof(f298,definition,
    ( sP17_prd
  <=> ( h4(e13) != e20
      & h4(e12) != e20
      & h4(e11) != e20
      & h4(e10) != e20 ) ),
    introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).

fof(f299,definition,
    ( sP18_prd
  <=> ( h4(e13) != e21
      & h4(e12) != e21
      & h4(e11) != e21
      & h4(e10) != e21 ) ),
    introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).

fof(f300,definition,
    ( sP19_prd
  <=> ( h4(e13) != e22
      & h4(e12) != e22
      & h4(e11) != e22
      & h4(e10) != e22 ) ),
    introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).

fof(f301,plain,
    ( ( ( h4(e13) != e23
        & h4(e12) != e23
        & h4(e11) != e23
        & h4(e10) != e23 )
      | sP19_prd
      | sP18_prd
      | sP17_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 )
      | sP16_prd
      | sP15_prd
      | sP14_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 )
      | sP13_prd
      | sP12_prd
      | sP11_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 )
      | sP10_prd
      | sP9_prd
      | sP8_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)],[f288,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289]) ).

fof(f313,plain,
    ( h3(e13) != e23
    | sP16_prd
    | sP15_prd
    | sP14_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)) ),
    inference(cnf_transformation,[status(thm)],[f301]) ).

fof(f318,definition,
    ( sP20_prd
  <=> ( ( op1(e10,e11) != e10
        & op1(e11,e10) = e11 )
      | ( op1(e10,e10) != e10
        & op1(e10,e10) = e10 ) ) ),
    introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).

fof(f319,plain,
    ( sP0_prd
  <=> ( ( op1(e10,e12) != e10
        & op1(e12,e10) = e12 )
      | sP20_prd ) ),
    inference(formula_renaming,[status(thm)],[f240,f318]) ).

fof(f320,plain,
    ( ( ( ( op1(e10,e12) = e10
          | op1(e12,e10) != e12 )
        & ~ sP20_prd )
      | sP0_prd )
    & ( ( op1(e10,e12) != e10
        & op1(e12,e10) = e12 )
      | sP20_prd
      | ~ sP0_prd ) ),
    inference(NNF_transformation,[status(thm)],[f319]) ).

fof(f321,plain,
    ( op1(e12,e10) = e12
    | sP20_prd
    | ~ sP0_prd ),
    inference(cnf_transformation,[status(thm)],[f320]) ).

fof(f325,definition,
    ( sP21_prd
  <=> ( ( op1(e11,e11) != e11
        & op1(e11,e11) = e11 )
      | ( op1(e11,e10) != e11
        & op1(e10,e11) = e10 ) ) ),
    introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).

fof(f326,plain,
    ( sP1_prd
  <=> ( ( op1(e11,e12) != e11
        & op1(e12,e11) = e12 )
      | sP21_prd ) ),
    inference(formula_renaming,[status(thm)],[f241,f325]) ).

fof(f327,plain,
    ( ( ( ( op1(e11,e12) = e11
          | op1(e12,e11) != e12 )
        & ~ sP21_prd )
      | sP1_prd )
    & ( ( op1(e11,e12) != e11
        & op1(e12,e11) = e12 )
      | sP21_prd
      | ~ sP1_prd ) ),
    inference(NNF_transformation,[status(thm)],[f326]) ).

fof(f328,plain,
    ( op1(e12,e11) = e12
    | sP21_prd
    | ~ sP1_prd ),
    inference(cnf_transformation,[status(thm)],[f327]) ).

fof(f332,definition,
    ( sP22_prd
  <=> ( ( op1(e12,e11) != e12
        & op1(e11,e12) = e11 )
      | ( op1(e12,e10) != e12
        & op1(e10,e12) = e10 ) ) ),
    introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).

fof(f333,plain,
    ( sP2_prd
  <=> ( ( op1(e12,e12) != e12
        & op1(e12,e12) = e12 )
      | sP22_prd ) ),
    inference(formula_renaming,[status(thm)],[f242,f332]) ).

fof(f334,plain,
    ( ( ( ( op1(e12,e12) = e12
          | op1(e12,e12) != e12 )
        & ~ sP22_prd )
      | sP2_prd )
    & ( ( op1(e12,e12) != e12
        & op1(e12,e12) = e12 )
      | sP22_prd
      | ~ sP2_prd ) ),
    inference(NNF_transformation,[status(thm)],[f333]) ).

fof(f335,plain,
    ( op1(e12,e12) = e12
    | sP22_prd
    | ~ sP2_prd ),
    inference(cnf_transformation,[status(thm)],[f334]) ).

fof(f339,definition,
    ( sP23_prd
  <=> ( ( op1(e13,e11) != e13
        & op1(e11,e13) = e11 )
      | ( op1(e13,e10) != e13
        & op1(e10,e13) = e10 ) ) ),
    introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).

fof(f340,plain,
    ( sP3_prd
  <=> ( ( op1(e13,e12) != e13
        & op1(e12,e13) = e12 )
      | sP23_prd ) ),
    inference(formula_renaming,[status(thm)],[f243,f339]) ).

fof(f341,plain,
    ( ( ( ( op1(e13,e12) = e13
          | op1(e12,e13) != e12 )
        & ~ sP23_prd )
      | sP3_prd )
    & ( ( op1(e13,e12) != e13
        & op1(e12,e13) = e12 )
      | sP23_prd
      | ~ sP3_prd ) ),
    inference(NNF_transformation,[status(thm)],[f340]) ).

fof(f342,plain,
    ( op1(e12,e13) = e12
    | sP23_prd
    | ~ sP3_prd ),
    inference(cnf_transformation,[status(thm)],[f341]) ).

fof(f346,definition,
    ( sP24_prd
  <=> ( ( op2(e20,e21) != e20
        & op2(e21,e20) = e21 )
      | ( op2(e20,e20) != e20
        & op2(e20,e20) = e20 ) ) ),
    introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).

fof(f347,plain,
    ( sP4_prd
  <=> ( ( op2(e20,e22) != e20
        & op2(e22,e20) = e22 )
      | sP24_prd ) ),
    inference(formula_renaming,[status(thm)],[f253,f346]) ).

fof(f348,plain,
    ( ( ( ( op2(e20,e22) = e20
          | op2(e22,e20) != e22 )
        & ~ sP24_prd )
      | sP4_prd )
    & ( ( op2(e20,e22) != e20
        & op2(e22,e20) = e22 )
      | sP24_prd
      | ~ sP4_prd ) ),
    inference(NNF_transformation,[status(thm)],[f347]) ).

fof(f349,plain,
    ( op2(e22,e20) = e22
    | sP24_prd
    | ~ sP4_prd ),
    inference(cnf_transformation,[status(thm)],[f348]) ).

fof(f353,definition,
    ( sP25_prd
  <=> ( ( op2(e21,e21) != e21
        & op2(e21,e21) = e21 )
      | ( op2(e21,e20) != e21
        & op2(e20,e21) = e20 ) ) ),
    introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).

fof(f354,plain,
    ( sP5_prd
  <=> ( ( op2(e21,e22) != e21
        & op2(e22,e21) = e22 )
      | sP25_prd ) ),
    inference(formula_renaming,[status(thm)],[f254,f353]) ).

fof(f355,plain,
    ( ( ( ( op2(e21,e22) = e21
          | op2(e22,e21) != e22 )
        & ~ sP25_prd )
      | sP5_prd )
    & ( ( op2(e21,e22) != e21
        & op2(e22,e21) = e22 )
      | sP25_prd
      | ~ sP5_prd ) ),
    inference(NNF_transformation,[status(thm)],[f354]) ).

fof(f356,plain,
    ( op2(e22,e21) = e22
    | sP25_prd
    | ~ sP5_prd ),
    inference(cnf_transformation,[status(thm)],[f355]) ).

fof(f360,definition,
    ( sP26_prd
  <=> ( ( op2(e22,e21) != e22
        & op2(e21,e22) = e21 )
      | ( op2(e22,e20) != e22
        & op2(e20,e22) = e20 ) ) ),
    introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).

fof(f361,plain,
    ( sP6_prd
  <=> ( ( op2(e22,e22) != e22
        & op2(e22,e22) = e22 )
      | sP26_prd ) ),
    inference(formula_renaming,[status(thm)],[f255,f360]) ).

fof(f362,plain,
    ( ( ( ( op2(e22,e22) = e22
          | op2(e22,e22) != e22 )
        & ~ sP26_prd )
      | sP6_prd )
    & ( ( op2(e22,e22) != e22
        & op2(e22,e22) = e22 )
      | sP26_prd
      | ~ sP6_prd ) ),
    inference(NNF_transformation,[status(thm)],[f361]) ).

fof(f363,plain,
    ( op2(e22,e22) = e22
    | sP26_prd
    | ~ sP6_prd ),
    inference(cnf_transformation,[status(thm)],[f362]) ).

fof(f367,definition,
    ( sP27_prd
  <=> ( ( op2(e23,e21) != e23
        & op2(e21,e23) = e21 )
      | ( op2(e23,e20) != e23
        & op2(e20,e23) = e20 ) ) ),
    introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).

fof(f368,plain,
    ( sP7_prd
  <=> ( ( op2(e23,e22) != e23
        & op2(e22,e23) = e22 )
      | sP27_prd ) ),
    inference(formula_renaming,[status(thm)],[f256,f367]) ).

fof(f369,plain,
    ( ( ( ( op2(e23,e22) = e23
          | op2(e22,e23) != e22 )
        & ~ sP27_prd )
      | sP7_prd )
    & ( ( op2(e23,e22) != e23
        & op2(e22,e23) = e22 )
      | sP27_prd
      | ~ sP7_prd ) ),
    inference(NNF_transformation,[status(thm)],[f368]) ).

fof(f370,plain,
    ( op2(e22,e23) = e22
    | sP27_prd
    | ~ sP7_prd ),
    inference(cnf_transformation,[status(thm)],[f369]) ).

fof(f410,plain,
    ( ( h3(e13) = e20
      | h3(e12) = e20
      | h3(e11) = e20
      | h3(e10) = e20
      | sP14_prd )
    & ( ( h3(e13) != e20
        & h3(e12) != e20
        & h3(e11) != e20
        & h3(e10) != e20 )
      | ~ sP14_prd ) ),
    inference(NNF_transformation,[status(thm)],[f295]) ).

fof(f411,plain,
    ( h3(e10) != e20
    | ~ sP14_prd ),
    inference(cnf_transformation,[status(thm)],[f410]) ).

fof(f416,plain,
    ( ( h3(e13) = e21
      | h3(e12) = e21
      | h3(e11) = e21
      | h3(e10) = e21
      | sP15_prd )
    & ( ( h3(e13) != e21
        & h3(e12) != e21
        & h3(e11) != e21
        & h3(e10) != e21 )
      | ~ sP15_prd ) ),
    inference(NNF_transformation,[status(thm)],[f296]) ).

fof(f418,plain,
    ( h3(e11) != e21
    | ~ sP15_prd ),
    inference(cnf_transformation,[status(thm)],[f416]) ).

fof(f422,plain,
    ( ( h3(e13) = e22
      | h3(e12) = e22
      | h3(e11) = e22
      | h3(e10) = e22
      | sP16_prd )
    & ( ( h3(e13) != e22
        & h3(e12) != e22
        & h3(e11) != e22
        & h3(e10) != e22 )
      | ~ sP16_prd ) ),
    inference(NNF_transformation,[status(thm)],[f297]) ).

fof(f425,plain,
    ( h3(e12) != e22
    | ~ sP16_prd ),
    inference(cnf_transformation,[status(thm)],[f422]) ).

fof(f446,plain,
    ( ( ( ( op1(e10,e11) = e10
          | op1(e11,e10) != e11 )
        & ( op1(e10,e10) = e10
          | op1(e10,e10) != e10 ) )
      | sP20_prd )
    & ( ( op1(e10,e11) != e10
        & op1(e11,e10) = e11 )
      | ( op1(e10,e10) != e10
        & op1(e10,e10) = e10 )
      | ~ sP20_prd ) ),
    inference(NNF_transformation,[status(thm)],[f318]) ).

fof(f447,plain,
    ( op1(e11,e10) = e11
    | op1(e10,e10) = e10
    | ~ sP20_prd ),
    inference(cnf_transformation,[status(thm)],[f446]) ).

fof(f448,plain,
    ( op1(e10,e11) != e10
    | op1(e10,e10) = e10
    | ~ sP20_prd ),
    inference(cnf_transformation,[status(thm)],[f446]) ).

fof(f449,plain,
    ( op1(e11,e10) = e11
    | op1(e10,e10) != e10
    | ~ sP20_prd ),
    inference(cnf_transformation,[status(thm)],[f446]) ).

fof(f450,plain,
    ( op1(e10,e11) != e10
    | op1(e10,e10) != e10
    | ~ sP20_prd ),
    inference(cnf_transformation,[status(thm)],[f446]) ).

fof(f453,plain,
    ( ( ( ( op1(e11,e11) = e11
          | op1(e11,e11) != e11 )
        & ( op1(e11,e10) = e11
          | op1(e10,e11) != e10 ) )
      | sP21_prd )
    & ( ( op1(e11,e11) != e11
        & op1(e11,e11) = e11 )
      | ( op1(e11,e10) != e11
        & op1(e10,e11) = e10 )
      | ~ sP21_prd ) ),
    inference(NNF_transformation,[status(thm)],[f325]) ).

fof(f454,plain,
    ( op1(e11,e11) = e11
    | op1(e10,e11) = e10
    | ~ sP21_prd ),
    inference(cnf_transformation,[status(thm)],[f453]) ).

fof(f455,plain,
    ( op1(e11,e11) != e11
    | op1(e10,e11) = e10
    | ~ sP21_prd ),
    inference(cnf_transformation,[status(thm)],[f453]) ).

fof(f456,plain,
    ( op1(e11,e11) = e11
    | op1(e11,e10) != e11
    | ~ sP21_prd ),
    inference(cnf_transformation,[status(thm)],[f453]) ).

fof(f457,plain,
    ( op1(e11,e11) != e11
    | op1(e11,e10) != e11
    | ~ sP21_prd ),
    inference(cnf_transformation,[status(thm)],[f453]) ).

fof(f460,plain,
    ( ( ( ( op1(e12,e11) = e12
          | op1(e11,e12) != e11 )
        & ( op1(e12,e10) = e12
          | op1(e10,e12) != e10 ) )
      | sP22_prd )
    & ( ( op1(e12,e11) != e12
        & op1(e11,e12) = e11 )
      | ( op1(e12,e10) != e12
        & op1(e10,e12) = e10 )
      | ~ sP22_prd ) ),
    inference(NNF_transformation,[status(thm)],[f332]) ).

fof(f461,plain,
    ( op1(e11,e12) = e11
    | op1(e10,e12) = e10
    | ~ sP22_prd ),
    inference(cnf_transformation,[status(thm)],[f460]) ).

fof(f467,plain,
    ( ( ( ( op1(e13,e11) = e13
          | op1(e11,e13) != e11 )
        & ( op1(e13,e10) = e13
          | op1(e10,e13) != e10 ) )
      | sP23_prd )
    & ( ( op1(e13,e11) != e13
        & op1(e11,e13) = e11 )
      | ( op1(e13,e10) != e13
        & op1(e10,e13) = e10 )
      | ~ sP23_prd ) ),
    inference(NNF_transformation,[status(thm)],[f339]) ).

fof(f468,plain,
    ( op1(e11,e13) = e11
    | op1(e10,e13) = e10
    | ~ sP23_prd ),
    inference(cnf_transformation,[status(thm)],[f467]) ).

fof(f474,plain,
    ( ( ( ( op2(e20,e21) = e20
          | op2(e21,e20) != e21 )
        & ( op2(e20,e20) = e20
          | op2(e20,e20) != e20 ) )
      | sP24_prd )
    & ( ( op2(e20,e21) != e20
        & op2(e21,e20) = e21 )
      | ( op2(e20,e20) != e20
        & op2(e20,e20) = e20 )
      | ~ sP24_prd ) ),
    inference(NNF_transformation,[status(thm)],[f346]) ).

fof(f475,plain,
    ( op2(e21,e20) = e21
    | op2(e20,e20) = e20
    | ~ sP24_prd ),
    inference(cnf_transformation,[status(thm)],[f474]) ).

fof(f476,plain,
    ( op2(e20,e21) != e20
    | op2(e20,e20) = e20
    | ~ sP24_prd ),
    inference(cnf_transformation,[status(thm)],[f474]) ).

fof(f477,plain,
    ( op2(e21,e20) = e21
    | op2(e20,e20) != e20
    | ~ sP24_prd ),
    inference(cnf_transformation,[status(thm)],[f474]) ).

fof(f478,plain,
    ( op2(e20,e21) != e20
    | op2(e20,e20) != e20
    | ~ sP24_prd ),
    inference(cnf_transformation,[status(thm)],[f474]) ).

fof(f481,plain,
    ( ( ( ( op2(e21,e21) = e21
          | op2(e21,e21) != e21 )
        & ( op2(e21,e20) = e21
          | op2(e20,e21) != e20 ) )
      | sP25_prd )
    & ( ( op2(e21,e21) != e21
        & op2(e21,e21) = e21 )
      | ( op2(e21,e20) != e21
        & op2(e20,e21) = e20 )
      | ~ sP25_prd ) ),
    inference(NNF_transformation,[status(thm)],[f353]) ).

fof(f482,plain,
    ( op2(e21,e21) = e21
    | op2(e20,e21) = e20
    | ~ sP25_prd ),
    inference(cnf_transformation,[status(thm)],[f481]) ).

fof(f483,plain,
    ( op2(e21,e21) != e21
    | op2(e20,e21) = e20
    | ~ sP25_prd ),
    inference(cnf_transformation,[status(thm)],[f481]) ).

fof(f484,plain,
    ( op2(e21,e21) = e21
    | op2(e21,e20) != e21
    | ~ sP25_prd ),
    inference(cnf_transformation,[status(thm)],[f481]) ).

fof(f485,plain,
    ( op2(e21,e21) != e21
    | op2(e21,e20) != e21
    | ~ sP25_prd ),
    inference(cnf_transformation,[status(thm)],[f481]) ).

fof(f488,plain,
    ( ( ( ( op2(e22,e21) = e22
          | op2(e21,e22) != e21 )
        & ( op2(e22,e20) = e22
          | op2(e20,e22) != e20 ) )
      | sP26_prd )
    & ( ( op2(e22,e21) != e22
        & op2(e21,e22) = e21 )
      | ( op2(e22,e20) != e22
        & op2(e20,e22) = e20 )
      | ~ sP26_prd ) ),
    inference(NNF_transformation,[status(thm)],[f360]) ).

fof(f489,plain,
    ( op2(e21,e22) = e21
    | op2(e20,e22) = e20
    | ~ sP26_prd ),
    inference(cnf_transformation,[status(thm)],[f488]) ).

fof(f495,plain,
    ( ( ( ( op2(e23,e21) = e23
          | op2(e21,e23) != e21 )
        & ( op2(e23,e20) = e23
          | op2(e20,e23) != e20 ) )
      | sP27_prd )
    & ( ( op2(e23,e21) != e23
        & op2(e21,e23) = e21 )
      | ( op2(e23,e20) != e23
        & op2(e20,e23) = e20 )
      | ~ sP27_prd ) ),
    inference(NNF_transformation,[status(thm)],[f367]) ).

fof(f496,plain,
    ( op2(e21,e23) = e21
    | op2(e20,e23) = e20
    | ~ sP27_prd ),
    inference(cnf_transformation,[status(thm)],[f495]) ).

fof(f670,plain,
    ( e22 != e22
    | ~ sP16_prd ),
    inference(forward_demodulation,[status(thm)],[f280,f425]) ).

fof(f671,plain,
    ~ sP16_prd,
    inference(trivial_equality_resolution,[status(thm)],[f670]) ).

fof(f693,plain,
    ( op1(e12,e13) = e11
    | e13 = e11
    | op1(e12,e11) = e11
    | op1(e12,e10) = e11 ),
    inference(forward_demodulation,[status(thm)],[f268,f54]) ).

fof(f694,plain,
    ( op1(e12,e13) = e11
    | op1(e12,e11) = e11
    | op1(e12,e10) = e11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f693,f216]) ).

fof(f713,plain,
    ( op1(e13,e12) = e11
    | e13 = e11
    | op1(e11,e12) = e11
    | op1(e10,e12) = e11 ),
    inference(forward_demodulation,[status(thm)],[f268,f55]) ).

fof(f714,plain,
    ( op1(e13,e12) = e11
    | op1(e11,e12) = e11
    | op1(e10,e12) = e11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f713,f216]) ).

fof(f760,plain,
    h3(e13) = e23,
    inference(forward_demodulation,[status(thm)],[f271,f283]) ).

fof(f778,plain,
    sP3_prd,
    inference(forward_subsumption_resolution,[status(thm)],[f252,f251]) ).

fof(f858,plain,
    ( h4(e13) = e23
    | sP7_prd ),
    inference(forward_demodulation,[status(thm)],[f287,f264]) ).

fof(f859,plain,
    ( h4(e13) != e23
    | sP7_prd ),
    inference(forward_demodulation,[status(thm)],[f287,f265]) ).

fof(f860,plain,
    sP7_prd,
    inference(forward_subsumption_resolution,[status(thm)],[f859,f858]) ).

fof(f872,plain,
    ( op2(e20,e20) = e23
    | op2(e20,e20) = e22
    | op2(e20,e20) = e21
    | h1(e13) = e20 ),
    inference(forward_demodulation,[status(thm)],[f275,f68]) ).

fof(f873,plain,
    ( op2(e20,e20) = e23
    | op2(e20,e20) = e22
    | h1(e13) = e21
    | h1(e13) = e20 ),
    inference(forward_demodulation,[status(thm)],[f275,f872]) ).

fof(f874,plain,
    ( op2(e20,e20) = e23
    | h1(e13) = e22
    | h1(e13) = e21
    | h1(e13) = e20 ),
    inference(forward_demodulation,[status(thm)],[f275,f873]) ).

fof(f875,plain,
    ( h1(e13) = e23
    | h1(e13) = e22
    | h1(e13) = e21
    | h1(e13) = e20 ),
    inference(forward_demodulation,[status(thm)],[f275,f874]) ).

fof(f939,plain,
    ( op1(e10,e13) = e13
    | op1(e10,e11) = e13
    | op1(e10,e10) = e13 ),
    inference(backward_subsumption_resolution,[status(thm)],[f42,f941]) ).

fof(f941,plain,
    op1(e10,e12) != e13,
    inference(forward_demodulation,[status(thm)],[f268,f129]) ).

fof(f969,plain,
    ( h3(e13) != e23
    | sP16_prd
    | sP15_prd
    | sP14_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),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_demodulation,[status(thm)],[f280,f313]) ).

fof(f970,plain,
    ( h3(e13) != e23
    | sP16_prd
    | sP15_prd
    | sP14_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),e23)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_demodulation,[status(thm)],[f760,f969]) ).

fof(f971,plain,
    ( h3(e13) != e23
    | sP16_prd
    | sP15_prd
    | sP14_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),e22)
    | 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),e23)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_demodulation,[status(thm)],[f280,f970]) ).

fof(f972,plain,
    ( h3(e13) != e23
    | sP16_prd
    | sP15_prd
    | sP14_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),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | 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),e23)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_demodulation,[status(thm)],[f760,f971]) ).

fof(f973,plain,
    ( h3(e13) != e23
    | sP16_prd
    | sP15_prd
    | sP14_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(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | 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),e23)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_demodulation,[status(thm)],[f280,f972]) ).

fof(f974,plain,
    ( h3(e13) != e23
    | sP16_prd
    | sP15_prd
    | sP14_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(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | 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),e23)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_demodulation,[status(thm)],[f280,f973]) ).

fof(f975,plain,
    ( h3(e13) != e23
    | sP16_prd
    | sP15_prd
    | sP14_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(e13) != op2(h3(e12),h3(e12))
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | 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),e23)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_demodulation,[status(thm)],[f268,f974]) ).

fof(f976,plain,
    ( h3(e13) != e23
    | sP16_prd
    | sP15_prd
    | sP14_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))
    | e23 != op2(h3(e12),h3(e12))
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | 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),e23)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_demodulation,[status(thm)],[f760,f975]) ).

fof(f977,plain,
    ( h3(e13) != e23
    | sP16_prd
    | sP15_prd
    | sP14_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))
    | e23 != op2(e22,h3(e12))
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | 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),e23)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_demodulation,[status(thm)],[f280,f976]) ).

fof(f978,plain,
    ( h3(e13) != e23
    | sP16_prd
    | sP15_prd
    | sP14_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))
    | e23 != op2(e22,e22)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | 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),e23)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_demodulation,[status(thm)],[f280,f977]) ).

fof(f979,plain,
    ( h3(e13) != e23
    | sP16_prd
    | sP15_prd
    | sP14_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))
    | e23 != e23
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | 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),e23)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_demodulation,[status(thm)],[f271,f978]) ).

fof(f980,plain,
    ( h3(e13) != e23
    | sP16_prd
    | sP15_prd
    | sP14_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(e22,h3(e13))
    | e23 != e23
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | 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),e23)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_demodulation,[status(thm)],[f280,f979]) ).

fof(f981,plain,
    ( h3(e13) != e23
    | sP16_prd
    | sP15_prd
    | sP14_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(e22,e23)
    | e23 != e23
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | 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),e23)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_demodulation,[status(thm)],[f760,f980]) ).

fof(f982,plain,
    ( h3(e13) != e23
    | sP16_prd
    | sP15_prd
    | sP14_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(e23,h3(e10))
    | h3(op1(e12,e13)) != op2(e22,e23)
    | e23 != e23
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | 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),e23)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_demodulation,[status(thm)],[f760,f981]) ).

fof(f983,plain,
    ( h3(e13) != e23
    | sP16_prd
    | sP15_prd
    | sP14_prd
    | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
    | h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h3(op1(e12,e13)) != op2(e22,e23)
    | e23 != e23
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | 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),e23)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_demodulation,[status(thm)],[f760,f982]) ).

fof(f984,plain,
    ( h3(e13) != e23
    | sP16_prd
    | sP15_prd
    | sP14_prd
    | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
    | h3(op1(e13,e12)) != op2(e23,h3(e12))
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h3(op1(e12,e13)) != op2(e22,e23)
    | e23 != e23
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | 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),e23)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_demodulation,[status(thm)],[f760,f983]) ).

fof(f985,plain,
    ( h3(e13) != e23
    | sP16_prd
    | sP15_prd
    | sP14_prd
    | h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h3(op1(e12,e13)) != op2(e22,e23)
    | e23 != e23
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | 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),e23)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_demodulation,[status(thm)],[f280,f984]) ).

fof(f986,plain,
    ( h3(e13) != e23
    | sP16_prd
    | sP15_prd
    | sP14_prd
    | h3(op1(e13,e13)) != op2(e23,h3(e13))
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h3(op1(e12,e13)) != op2(e22,e23)
    | e23 != e23
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | 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),e23)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_demodulation,[status(thm)],[f760,f985]) ).

fof(f987,plain,
    ( h3(e13) != e23
    | sP16_prd
    | sP15_prd
    | sP14_prd
    | h3(op1(e13,e13)) != op2(e23,e23)
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h3(op1(e12,e13)) != op2(e22,e23)
    | e23 != e23
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | 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),e23)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_demodulation,[status(thm)],[f760,f986]) ).

fof(f988,plain,
    ( h3(e13) != e23
    | sP16_prd
    | sP15_prd
    | sP14_prd
    | h3(op1(e13,e13)) != h4(e13)
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h3(op1(e12,e13)) != op2(e22,e23)
    | e23 != e23
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | 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),e23)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_demodulation,[status(thm)],[f287,f987]) ).

fof(f989,plain,
    ( e23 != e23
    | sP16_prd
    | sP15_prd
    | sP14_prd
    | h3(op1(e13,e13)) != h4(e13)
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h3(op1(e12,e13)) != op2(e22,e23)
    | e23 != e23
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | 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),e23)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_demodulation,[status(thm)],[f760,f988]) ).

fof(f990,plain,
    ( sP16_prd
    | sP15_prd
    | sP14_prd
    | h3(op1(e13,e13)) != h4(e13)
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h3(op1(e12,e13)) != op2(e22,e23)
    | e23 != e23
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | 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),e23)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(duplicate_literals_removal,[status(thm)],[f989]) ).

fof(f991,plain,
    ( sP16_prd
    | sP15_prd
    | sP14_prd
    | h3(op1(e13,e13)) != h4(e13)
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | 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),e23)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(trivial_equality_resolution,[status(thm)],[f990]) ).

fof(f992,plain,
    ( sP15_prd
    | sP14_prd
    | h3(op1(e13,e13)) != h4(e13)
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | 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),e23)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f991,f671]) ).

fof(f997,plain,
    ( op1(e11,e13) = e13
    | op1(e11,e11) = e13
    | op1(e11,e10) = e13 ),
    inference(backward_subsumption_resolution,[status(thm)],[f50,f999]) ).

fof(f998,plain,
    ( op1(e11,e12) = e12
    | op1(e11,e12) = e11
    | op1(e11,e12) = e10 ),
    inference(backward_subsumption_resolution,[status(thm)],[f26,f999]) ).

fof(f999,plain,
    op1(e11,e12) != e13,
    inference(forward_demodulation,[status(thm)],[f268,f131]) ).

fof(f1003,plain,
    sP2_prd,
    inference(backward_subsumption_resolution,[status(thm)],[f249,f1005]) ).

fof(f1005,plain,
    e13 != op1(e13,e12),
    inference(forward_demodulation,[status(thm)],[f268,f133]) ).

fof(f1098,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e22) = e20
    | op2(e20,e21) = e20
    | h1(e13) = e20 ),
    inference(forward_demodulation,[status(thm)],[f275,f84]) ).

fof(f1130,plain,
    ( op1(e12,e10) = e12
    | op1(e12,e10) = e11
    | op1(e12,e10) = e10 ),
    inference(backward_subsumption_resolution,[status(thm)],[f28,f1131]) ).

fof(f1131,plain,
    op1(e12,e10) != e13,
    inference(forward_demodulation,[status(thm)],[f268,f153]) ).

fof(f1134,plain,
    ( op2(e23,e20) = e20
    | op2(e22,e20) = e20
    | op2(e21,e20) = e20
    | h1(e13) = e20 ),
    inference(forward_demodulation,[status(thm)],[f275,f85]) ).

fof(f1150,plain,
    ( op1(e12,e13) = e12
    | op1(e12,e13) = e11
    | op1(e12,e13) = e10 ),
    inference(backward_subsumption_resolution,[status(thm)],[f31,f1151]) ).

fof(f1151,plain,
    e13 != op1(e12,e13),
    inference(forward_demodulation,[status(thm)],[f268,f157]) ).

fof(f1165,plain,
    ( op2(e23,e20) = e22
    | op2(e22,e20) = e22
    | op2(e21,e20) = e22
    | h1(e13) = e22 ),
    inference(forward_demodulation,[status(thm)],[f275,f89]) ).

fof(f1193,plain,
    ( op2(e20,e23) = e23
    | op2(e20,e22) = e23
    | op2(e20,e21) = e23
    | h1(e13) = e23 ),
    inference(forward_demodulation,[status(thm)],[f275,f90]) ).

fof(f1203,plain,
    h1(e13) != op2(e21,e20),
    inference(forward_demodulation,[status(thm)],[f275,f164]) ).

fof(f1210,plain,
    h1(e13) != op2(e23,e20),
    inference(forward_demodulation,[status(thm)],[f275,f166]) ).

fof(f1224,plain,
    ( op2(e23,e21) = e20
    | op2(e22,e21) = e20
    | h2(e13) = e20
    | op2(e20,e21) = e20 ),
    inference(forward_demodulation,[status(thm)],[f279,f93]) ).

fof(f1258,plain,
    ( op2(e21,e23) = e22
    | op2(e21,e22) = e22
    | h2(e13) = e22
    | op2(e21,e20) = e22 ),
    inference(forward_demodulation,[status(thm)],[f279,f96]) ).

fof(f1268,plain,
    ( op2(e20,e23) = e23
    | op2(e20,e21) = e23
    | h1(e13) = e23 ),
    inference(backward_subsumption_resolution,[status(thm)],[f1193,f1270]) ).

fof(f1270,plain,
    op2(e20,e22) != e23,
    inference(forward_demodulation,[status(thm)],[f271,f177]) ).

fof(f1303,plain,
    sP6_prd,
    inference(backward_subsumption_resolution,[status(thm)],[f262,f1305]) ).

fof(f1305,plain,
    e23 != op2(e23,e22),
    inference(forward_demodulation,[status(thm)],[f271,f181]) ).

fof(f1318,plain,
    op2(e20,e23) != h4(e13),
    inference(forward_demodulation,[status(thm)],[f287,f184]) ).

fof(f1331,plain,
    h1(e13) != op2(e20,e21),
    inference(forward_demodulation,[status(thm)],[f275,f188]) ).

fof(f1334,plain,
    ( op2(e22,e23) = e21
    | e23 = e21
    | op2(e22,e21) = e21
    | op2(e22,e20) = e21 ),
    inference(forward_demodulation,[status(thm)],[f271,f102]) ).

fof(f1335,plain,
    ( op2(e22,e23) = e21
    | op2(e22,e21) = e21
    | op2(e22,e20) = e21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1334,f222]) ).

fof(f1343,plain,
    ( op2(e23,e22) = e21
    | e23 = e21
    | op2(e21,e22) = e21
    | op2(e20,e22) = e21 ),
    inference(forward_demodulation,[status(thm)],[f271,f103]) ).

fof(f1344,plain,
    ( op2(e23,e22) = e21
    | op2(e21,e22) = e21
    | op2(e20,e22) = e21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1343,f222]) ).

fof(f1364,plain,
    h1(e13) != op2(e20,e22),
    inference(forward_demodulation,[status(thm)],[f275,f189]) ).

fof(f1366,plain,
    h1(e13) != op2(e20,e23),
    inference(forward_demodulation,[status(thm)],[f275,f190]) ).

fof(f1449,plain,
    e23 != op2(e22,e23),
    inference(forward_demodulation,[status(thm)],[f271,f205]) ).

fof(f1457,plain,
    op2(e23,e20) != h4(e13),
    inference(forward_demodulation,[status(thm)],[f287,f208]) ).

fof(f1498,plain,
    op2(e23,e21) != h4(e13),
    inference(forward_demodulation,[status(thm)],[f287,f210]) ).

fof(f1506,plain,
    e10 = op1(e13,op1(e12,e12)),
    inference(forward_demodulation,[status(thm)],[f268,f266]) ).

fof(f1518,plain,
    op1(e13,e11) != e10,
    inference(backward_demodulation,[status(thm)],[f1534,f162]) ).

fof(f1523,plain,
    op1(e12,e13) != e10,
    inference(backward_demodulation,[status(thm)],[f1534,f139]) ).

fof(f1526,plain,
    ( sP15_prd
    | sP14_prd
    | h3(e10) != h4(e13)
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | 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),e23)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(backward_demodulation,[status(thm)],[f1534,f992]) ).

fof(f1528,plain,
    ( e10 = e12
    | op1(e13,e12) = e12
    | op1(e13,e11) = e12
    | op1(e13,e10) = e12 ),
    inference(backward_demodulation,[status(thm)],[f1534,f64]) ).

fof(f1534,plain,
    e10 = op1(e13,e13),
    inference(forward_demodulation,[status(thm)],[f268,f1506]) ).

fof(f1536,plain,
    ( op1(e13,e12) = e12
    | op1(e13,e11) = e12
    | op1(e13,e10) = e12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1528,f213]) ).

fof(f1539,plain,
    ( h4(e13) = e23
    | op2(e22,e23) = e23
    | op2(e21,e23) = e23
    | op2(e20,e23) = e23 ),
    inference(forward_demodulation,[status(thm)],[f287,f115]) ).

fof(f1540,plain,
    ( h4(e13) = e23
    | op2(e21,e23) = e23
    | op2(e20,e23) = e23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1539,f1449]) ).

fof(f1550,plain,
    e11 = op1(op1(e13,op1(e12,e12)),op1(e12,e12)),
    inference(forward_demodulation,[status(thm)],[f268,f267]) ).

fof(f1551,plain,
    e11 = op1(op1(e13,e13),op1(e12,e12)),
    inference(forward_demodulation,[status(thm)],[f268,f1550]) ).

fof(f1552,plain,
    e11 = op1(e10,op1(e12,e12)),
    inference(forward_demodulation,[status(thm)],[f1534,f1551]) ).

fof(f1553,plain,
    op1(e10,e12) != e11,
    inference(backward_demodulation,[status(thm)],[f1563,f145]) ).

fof(f1556,plain,
    e11 != op1(e12,e13),
    inference(backward_demodulation,[status(thm)],[f1563,f135]) ).

fof(f1557,plain,
    e11 != op1(e11,e13),
    inference(backward_demodulation,[status(thm)],[f1563,f134]) ).

fof(f1559,plain,
    ( e11 = e12
    | op1(e10,e12) = e12
    | op1(e10,e11) = e12
    | op1(e10,e10) = e12 ),
    inference(backward_demodulation,[status(thm)],[f1563,f40]) ).

fof(f1563,plain,
    e11 = op1(e10,e13),
    inference(forward_demodulation,[status(thm)],[f268,f1552]) ).

fof(f1564,plain,
    ( op1(e10,e12) = e12
    | op1(e10,e11) = e12
    | op1(e10,e10) = e12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1559,f215]) ).

fof(f1569,plain,
    ( op1(e12,e11) = e10
    | op1(e11,e11) = e10
    | op1(e10,e11) = e10 ),
    inference(backward_subsumption_resolution,[status(thm)],[f45,f1518]) ).

fof(f1580,plain,
    e20 = op2(e23,op2(e22,e22)),
    inference(forward_demodulation,[status(thm)],[f271,f269]) ).

fof(f1581,plain,
    e20 = op2(e23,e23),
    inference(forward_demodulation,[status(thm)],[f271,f1580]) ).

fof(f1582,plain,
    ( e20 = e23
    | op2(e21,e23) = e23
    | op2(e20,e23) = e23 ),
    inference(backward_demodulation,[status(thm)],[f1604,f1540]) ).

fof(f1584,plain,
    op2(e23,e21) != e20,
    inference(backward_demodulation,[status(thm)],[f1604,f1498]) ).

fof(f1588,plain,
    op2(e23,e20) != e20,
    inference(backward_demodulation,[status(thm)],[f1604,f1457]) ).

fof(f1595,plain,
    op2(e20,e23) != e20,
    inference(backward_demodulation,[status(thm)],[f1604,f1318]) ).

fof(f1600,plain,
    e20 = op2(e23,e23),
    inference(backward_demodulation,[status(thm)],[f1604,f287]) ).

fof(f1604,plain,
    e20 = h4(e13),
    inference(forward_demodulation,[status(thm)],[f287,f1581]) ).

fof(f1605,plain,
    ( op2(e21,e23) = e23
    | op2(e20,e23) = e23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1582,f220]) ).

fof(f1614,plain,
    e21 = op2(op2(e23,op2(e22,e22)),op2(e22,e22)),
    inference(forward_demodulation,[status(thm)],[f271,f270]) ).

fof(f1615,plain,
    e21 = op2(op2(e23,e23),op2(e22,e22)),
    inference(forward_demodulation,[status(thm)],[f271,f1614]) ).

fof(f1616,plain,
    e21 = op2(op2(e23,e23),e23),
    inference(forward_demodulation,[status(thm)],[f271,f1615]) ).

fof(f1625,plain,
    ( op1(e13,e12) = e11
    | op1(e11,e12) = e11 ),
    inference(backward_subsumption_resolution,[status(thm)],[f714,f1553]) ).

fof(f1630,plain,
    ( op1(e12,e11) = e11
    | op1(e12,e10) = e11 ),
    inference(backward_subsumption_resolution,[status(thm)],[f694,f1556]) ).

fof(f1651,plain,
    ( op2(e22,e21) = e20
    | h2(e13) = e20
    | op2(e20,e21) = e20 ),
    inference(backward_subsumption_resolution,[status(thm)],[f1224,f1584]) ).

fof(f1654,plain,
    ( op2(e22,e20) = e20
    | op2(e21,e20) = e20
    | h1(e13) = e20 ),
    inference(backward_subsumption_resolution,[status(thm)],[f1134,f1588]) ).

fof(f1669,plain,
    h3(e10) = op2(e23,op2(e22,e22)),
    inference(forward_demodulation,[status(thm)],[f271,f281]) ).

fof(f1670,plain,
    e21 = op2(h3(e10),e23),
    inference(backward_demodulation,[status(thm)],[f1671,f1616]) ).

fof(f1671,plain,
    h3(e10) = op2(e23,e23),
    inference(forward_demodulation,[status(thm)],[f271,f1669]) ).

fof(f1672,plain,
    h3(e11) = op2(op2(e23,op2(e22,e22)),op2(e22,e22)),
    inference(forward_demodulation,[status(thm)],[f271,f282]) ).

fof(f1673,plain,
    h3(e11) = op2(op2(e23,e23),op2(e22,e22)),
    inference(forward_demodulation,[status(thm)],[f271,f1672]) ).

fof(f1674,plain,
    h3(e11) = op2(h3(e10),op2(e22,e22)),
    inference(forward_demodulation,[status(thm)],[f1671,f1673]) ).

fof(f1675,plain,
    h3(e11) = op2(h3(e10),e23),
    inference(forward_demodulation,[status(thm)],[f271,f1674]) ).

fof(f1678,plain,
    ( sP15_prd
    | sP14_prd
    | h3(e10) != h4(e13)
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | h3(e11) != op2(h3(e10),e23)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_demodulation,[status(thm)],[f1563,f1526]) ).

fof(f1679,plain,
    ( sP15_prd
    | sP14_prd
    | h3(e10) != h4(e13)
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | h3(e11) != h3(e11)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_demodulation,[status(thm)],[f1675,f1678]) ).

fof(f1680,plain,
    ( sP15_prd
    | sP14_prd
    | h3(e10) != e20
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | h3(e11) != h3(e11)
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_demodulation,[status(thm)],[f1604,f1679]) ).

fof(f1681,plain,
    ( sP15_prd
    | sP14_prd
    | h3(e10) != e20
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(trivial_equality_resolution,[status(thm)],[f1680]) ).

fof(f1682,plain,
    ( sP15_prd
    | h3(e10) != e20
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1681,f411]) ).

fof(f1689,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e21) = e20
    | h1(e13) = e20 ),
    inference(backward_subsumption_resolution,[status(thm)],[f1098,f1595]) ).

fof(f1691,plain,
    ( sP15_prd
    | e20 != e20
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
    inference(backward_demodulation,[status(thm)],[f1698,f1682]) ).

fof(f1692,plain,
    h3(e11) = op2(e20,e23),
    inference(backward_demodulation,[status(thm)],[f1698,f1675]) ).

fof(f1693,plain,
    e20 = op2(e23,e23),
    inference(backward_demodulation,[status(thm)],[f1698,f1671]) ).

fof(f1698,plain,
    e20 = h3(e10),
    inference(forward_demodulation,[status(thm)],[f1671,f1600]) ).

fof(f1699,plain,
    ( sP15_prd
    | e20 != e20
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(e20,h3(e10)) ),
    inference(forward_demodulation,[status(thm)],[f1698,f1691]) ).

fof(f1700,plain,
    ( sP15_prd
    | e20 != e20
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != op2(e20,e20) ),
    inference(forward_demodulation,[status(thm)],[f1698,f1699]) ).

fof(f1701,plain,
    ( sP15_prd
    | e20 != e20
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f275,f1700]) ).

fof(f1702,plain,
    ( sP15_prd
    | e20 != e20
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | h3(op1(e10,e12)) != op2(h3(e10),e22)
    | h3(op1(e10,e11)) != op2(e20,h3(e11))
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f1698,f1701]) ).

fof(f1703,plain,
    ( sP15_prd
    | e20 != e20
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,h3(e11))
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f1698,f1702]) ).

fof(f1704,plain,
    ( sP15_prd
    | e20 != e20
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,h3(e10))
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e11,e10)) != op2(h3(e11),e20)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,h3(e11))
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f1698,f1703]) ).

fof(f1705,plain,
    ( sP15_prd
    | e20 != e20
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,h3(e10))
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e11,e10)) != op2(h3(e11),e20)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,h3(e11))
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f1698,f1704]) ).

fof(f1706,plain,
    ( sP15_prd
    | e20 != e20
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e11,e10)) != op2(h3(e11),e20)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,h3(e11))
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f1698,f1705]) ).

fof(f1707,plain,
    ( sP15_prd
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e11,e10)) != op2(h3(e11),e20)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,h3(e11))
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(trivial_equality_resolution,[status(thm)],[f1706]) ).

fof(f1717,plain,
    h4(e11) = op2(op2(e20,op2(e23,e23)),op2(e23,e23)),
    inference(forward_demodulation,[status(thm)],[f1693,f286]) ).

fof(f1718,plain,
    h4(e11) = op2(op2(e20,e20),op2(e23,e23)),
    inference(forward_demodulation,[status(thm)],[f1693,f1717]) ).

fof(f1719,plain,
    h4(e11) = op2(h1(e13),op2(e23,e23)),
    inference(forward_demodulation,[status(thm)],[f275,f1718]) ).

fof(f1720,plain,
    h4(e11) = op2(h1(e13),e20),
    inference(forward_demodulation,[status(thm)],[f1693,f1719]) ).

fof(f1723,plain,
    op2(e20,e22) != e21,
    inference(backward_demodulation,[status(thm)],[f1730,f193]) ).

fof(f1724,plain,
    op2(e20,e21) != e21,
    inference(backward_demodulation,[status(thm)],[f1730,f192]) ).

fof(f1725,plain,
    h1(e13) != e21,
    inference(backward_demodulation,[status(thm)],[f1730,f1366]) ).

fof(f1726,plain,
    e21 != op2(e22,e23),
    inference(backward_demodulation,[status(thm)],[f1730,f183]) ).

fof(f1730,plain,
    e21 = op2(e20,e23),
    inference(forward_demodulation,[status(thm)],[f1698,f1670]) ).

fof(f1733,plain,
    ( h1(e13) = e23
    | h1(e13) = e22
    | h1(e13) = e20 ),
    inference(backward_subsumption_resolution,[status(thm)],[f875,f1725]) ).

fof(f1735,plain,
    ( op2(e23,e22) = e21
    | op2(e21,e22) = e21 ),
    inference(backward_subsumption_resolution,[status(thm)],[f1344,f1723]) ).

fof(f1737,plain,
    ( op2(e20,e21) = e23
    | op2(e20,e21) = e22
    | op2(e20,e21) = e20 ),
    inference(backward_subsumption_resolution,[status(thm)],[f69,f1724]) ).

fof(f1748,plain,
    ( op2(e22,e21) = e21
    | op2(e22,e20) = e21 ),
    inference(backward_subsumption_resolution,[status(thm)],[f1335,f1726]) ).

fof(f1752,plain,
    ( e21 != e21
    | ~ sP15_prd ),
    inference(backward_demodulation,[status(thm)],[f1753,f418]) ).

fof(f1753,plain,
    h3(e11) = e21,
    inference(forward_demodulation,[status(thm)],[f1730,f1692]) ).

fof(f1754,plain,
    ~ sP15_prd,
    inference(trivial_equality_resolution,[status(thm)],[f1752]) ).

fof(f1755,plain,
    ( e11 = e13
    | op1(e10,e11) = e13
    | op1(e10,e10) = e13 ),
    inference(forward_demodulation,[status(thm)],[f1563,f939]) ).

fof(f1756,plain,
    ( op1(e10,e11) = e13
    | op1(e10,e10) = e13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1755,f216]) ).

fof(f1759,plain,
    ( op1(e10,e11) = e13
    | e13 != op1(e13,e10) ),
    inference(paramodulation,[status(thm)],[f1756,f118]) ).

fof(f1768,plain,
    ( e13 = e12
    | sP22_prd
    | ~ sP2_prd ),
    inference(forward_demodulation,[status(thm)],[f268,f335]) ).

fof(f1769,plain,
    ( e13 = e12
    | sP22_prd ),
    inference(forward_subsumption_resolution,[status(thm)],[f1768,f1003]) ).

fof(f1771,plain,
    ( op1(e12,e13) = e12
    | sP23_prd ),
    inference(forward_subsumption_resolution,[status(thm)],[f342,f778]) ).

fof(f1790,plain,
    ( op2(e21,e23) = e23
    | e21 = e23 ),
    inference(forward_demodulation,[status(thm)],[f1730,f1605]) ).

fof(f1795,plain,
    op2(e21,e20) != e23,
    inference(backward_demodulation,[status(thm)],[f1799,f196]) ).

fof(f1798,plain,
    ( e23 = e22
    | op2(e21,e22) = e22
    | h2(e13) = e22
    | op2(e21,e20) = e22 ),
    inference(backward_demodulation,[status(thm)],[f1799,f1258]) ).

fof(f1799,plain,
    op2(e21,e23) = e23,
    inference(forward_subsumption_resolution,[status(thm)],[f1790,f222]) ).

fof(f1800,plain,
    ( op2(e21,e22) = e22
    | h2(e13) = e22
    | op2(e21,e20) = e22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1798,f223]) ).

fof(f1818,plain,
    ( op2(e21,e20) = e22
    | op2(e21,e20) = e21
    | op2(e21,e20) = e20 ),
    inference(backward_subsumption_resolution,[status(thm)],[f72,f1795]) ).

fof(f1822,plain,
    ( e23 = e22
    | sP26_prd
    | ~ sP6_prd ),
    inference(forward_demodulation,[status(thm)],[f271,f363]) ).

fof(f1823,plain,
    ( e23 = e22
    | sP26_prd ),
    inference(forward_subsumption_resolution,[status(thm)],[f1822,f1303]) ).

fof(f1825,plain,
    ( op2(e22,e23) = e22
    | sP27_prd ),
    inference(forward_subsumption_resolution,[status(thm)],[f370,f860]) ).

fof(f1826,plain,
    ( sP15_prd
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e11,e10)) != op2(h3(e11),e20)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f1753,f1707]) ).

fof(f1827,plain,
    ( sP15_prd
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f1753,f1826]) ).

fof(f1828,plain,
    ( sP15_prd
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | h3(op1(e11,e11)) != op2(e21,h3(e11))
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f1753,f1827]) ).

fof(f1829,plain,
    ( sP15_prd
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | h3(op1(e11,e11)) != op2(e21,e21)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f1753,f1828]) ).

fof(f1830,plain,
    ( sP15_prd
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(h3(e11),e22)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f279,f1829]) ).

fof(f1831,plain,
    ( sP15_prd
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e11,e13)) != op2(h3(e11),e23)
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f1753,f1830]) ).

fof(f1832,plain,
    ( sP15_prd
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e11,e13)) != op2(e21,e23)
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f1753,f1831]) ).

fof(f1833,plain,
    ( sP15_prd
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,h3(e11))
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e11,e13)) != e23
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f1799,f1832]) ).

fof(f1834,plain,
    ( sP15_prd
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,h3(e11))
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e11,e13)) != e23
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f1753,f1833]) ).

fof(f1835,plain,
    ( sP15_prd
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e11,e13)) != e23
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f1753,f1834]) ).

fof(f1836,plain,
    ( h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(op1(e12,e13)) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e11,e13)) != e23
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1835,f1754]) ).

fof(f2025,plain,
    ( op1(e11,e10) = e11
    | ~ sP20_prd ),
    inference(forward_subsumption_resolution,[status(thm)],[f449,f447]) ).

fof(f2028,plain,
    ( op1(e10,e11) != e10
    | ~ sP20_prd ),
    inference(forward_subsumption_resolution,[status(thm)],[f450,f448]) ).

fof(f2124,plain,
    ( op1(e10,e11) = e10
    | ~ sP21_prd ),
    inference(forward_subsumption_resolution,[status(thm)],[f455,f454]) ).

fof(f2129,plain,
    ( op1(e11,e10) != e11
    | ~ sP21_prd ),
    inference(forward_subsumption_resolution,[status(thm)],[f457,f456]) ).

fof(f2135,plain,
    ( e13 = e12
    | op1(e11,e12) = e11
    | op1(e10,e12) = e10 ),
    inference(resolution,[status(thm)],[f461,f1769]) ).

fof(f2136,plain,
    ( op1(e11,e12) = e11
    | op1(e10,e12) = e10 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2135,f217]) ).

fof(f2195,plain,
    ( op1(e12,e13) = e12
    | op1(e12,e13) = e11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1150,f1523]) ).

fof(f2196,plain,
    ( op1(e12,e13) = e11
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | h3(e12) != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e11,e13)) != e23
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(paramodulation,[status(thm)],[f2195,f1836]) ).

fof(f2201,plain,
    ( op1(e12,e13) = e11
    | h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | e22 != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e11,e13)) != e23
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f280,f2196]) ).

fof(f2202,plain,
    ( h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | e22 != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e11,e13)) != e23
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(op1(e11,e10)) != op2(e21,e20)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2201,f1556]) ).

fof(f2203,plain,
    ( op1(e11,e13) = e11
    | e11 = e10
    | ~ sP23_prd ),
    inference(forward_demodulation,[status(thm)],[f1563,f468]) ).

fof(f2204,plain,
    ( op1(e11,e13) = e11
    | ~ sP23_prd ),
    inference(forward_subsumption_resolution,[status(thm)],[f2203,f212]) ).

fof(f2205,plain,
    ( op1(e12,e13) = e12
    | op1(e11,e13) = e11 ),
    inference(resolution,[status(thm)],[f2204,f1771]) ).

fof(f2206,plain,
    op1(e12,e13) = e12,
    inference(forward_subsumption_resolution,[status(thm)],[f2205,f1557]) ).

fof(f2222,plain,
    op1(e12,e11) != e12,
    inference(backward_demodulation,[status(thm)],[f2206,f156]) ).

fof(f2223,plain,
    op1(e12,e10) != e12,
    inference(backward_demodulation,[status(thm)],[f2206,f154]) ).

fof(f2237,plain,
    ( sP21_prd
    | ~ sP1_prd ),
    inference(backward_subsumption_resolution,[status(thm)],[f328,f2222]) ).

fof(f2241,plain,
    ( op1(e13,e11) = e13
    | sP21_prd ),
    inference(resolution,[status(thm)],[f2237,f247]) ).

fof(f2248,plain,
    ( sP20_prd
    | ~ sP0_prd ),
    inference(backward_subsumption_resolution,[status(thm)],[f321,f2223]) ).

fof(f2250,plain,
    ( op1(e12,e10) = e11
    | op1(e12,e10) = e10 ),
    inference(backward_subsumption_resolution,[status(thm)],[f1130,f2223]) ).

fof(f2252,plain,
    ( op1(e13,e10) = e13
    | sP20_prd ),
    inference(resolution,[status(thm)],[f2248,f245]) ).

fof(f2256,plain,
    ( e21 = e23
    | op2(e20,e21) = e23
    | h1(e13) = e23 ),
    inference(forward_demodulation,[status(thm)],[f1730,f1268]) ).

fof(f2257,plain,
    ( op2(e20,e21) = e23
    | h1(e13) = e23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2256,f222]) ).

fof(f2261,plain,
    ( h1(e13) = e23
    | e23 != op2(e23,e21) ),
    inference(paramodulation,[status(thm)],[f2257,f172]) ).

fof(f2272,plain,
    ( op1(e11,e10) != e11
    | op1(e13,e11) = e13 ),
    inference(resolution,[status(thm)],[f2241,f2129]) ).

fof(f2273,plain,
    ( op1(e10,e11) = e10
    | op1(e13,e11) = e13 ),
    inference(resolution,[status(thm)],[f2241,f2124]) ).

fof(f2275,plain,
    ( op1(e10,e11) != e10
    | op1(e13,e10) = e13 ),
    inference(resolution,[status(thm)],[f2252,f2028]) ).

fof(f2276,plain,
    ( op1(e11,e10) = e11
    | op1(e13,e10) = e13 ),
    inference(resolution,[status(thm)],[f2252,f2025]) ).

fof(f2291,plain,
    ( op2(e21,e20) = e21
    | h1(e13) = e20
    | ~ sP24_prd ),
    inference(forward_demodulation,[status(thm)],[f275,f475]) ).

fof(f2334,plain,
    ( op1(e10,e11) = e10
    | op1(e13,e10) != e13 ),
    inference(paramodulation,[status(thm)],[f2273,f158]) ).

fof(f2336,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e10) = e11 ),
    inference(resolution,[status(thm)],[f2276,f1759]) ).

fof(f2356,plain,
    ( op2(e20,e21) != e20
    | h1(e13) = e20
    | ~ sP24_prd ),
    inference(forward_demodulation,[status(thm)],[f275,f476]) ).

fof(f2359,plain,
    ( op2(e21,e20) = e21
    | h1(e13) != e20
    | ~ sP24_prd ),
    inference(forward_demodulation,[status(thm)],[f275,f477]) ).

fof(f2360,plain,
    ( op2(e21,e20) = e21
    | ~ sP24_prd ),
    inference(forward_subsumption_resolution,[status(thm)],[f2359,f2291]) ).

fof(f2363,plain,
    ( op2(e20,e21) != e20
    | h1(e13) != e20
    | ~ sP24_prd ),
    inference(forward_demodulation,[status(thm)],[f275,f478]) ).

fof(f2364,plain,
    ( op2(e20,e21) != e20
    | ~ sP24_prd ),
    inference(forward_subsumption_resolution,[status(thm)],[f2363,f2356]) ).

fof(f2366,plain,
    ( op2(e22,e20) = e22
    | ~ sP4_prd
    | op2(e20,e21) != e20 ),
    inference(resolution,[status(thm)],[f2364,f349]) ).

fof(f2369,plain,
    ( op1(e11,e10) = e11
    | op1(e10,e11) = e10 ),
    inference(resolution,[status(thm)],[f2334,f2276]) ).

fof(f2395,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e10) = e11
    | e13 = e10 ),
    inference(paramodulation,[status(thm)],[f2336,f2369]) ).

fof(f2405,plain,
    ( op1(e11,e10) = e11
    | e13 = e10 ),
    inference(duplicate_literals_removal,[status(thm)],[f2395]) ).

fof(f2406,plain,
    op1(e11,e10) = e11,
    inference(forward_subsumption_resolution,[status(thm)],[f2405,f214]) ).

fof(f2418,plain,
    ( e11 != e11
    | op1(e13,e11) = e13 ),
    inference(backward_demodulation,[status(thm)],[f2406,f2272]) ).

fof(f2423,plain,
    ( h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | e22 != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e11,e13)) != e23
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | h3(e11) != op2(e21,e20)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(backward_demodulation,[status(thm)],[f2406,f2202]) ).

fof(f2427,plain,
    ( op1(e11,e13) = e13
    | op1(e11,e11) = e13
    | e11 = e13 ),
    inference(backward_demodulation,[status(thm)],[f2406,f997]) ).

fof(f2429,plain,
    e11 != op1(e11,e12),
    inference(backward_demodulation,[status(thm)],[f2406,f147]) ).

fof(f2432,plain,
    e11 != op1(e12,e10),
    inference(backward_demodulation,[status(thm)],[f2406,f119]) ).

fof(f2435,plain,
    op1(e13,e11) = e13,
    inference(trivial_equality_resolution,[status(thm)],[f2418]) ).

fof(f2436,plain,
    ( h3(op1(e13,e12)) != op2(e23,e22)
    | h3(op1(e13,e11)) != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | e22 != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e11,e13)) != e23
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | e21 != op2(e21,e20)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f1753,f2423]) ).

fof(f2439,plain,
    ( op1(e11,e13) = e13
    | op1(e11,e11) = e13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2427,f216]) ).

fof(f2447,plain,
    ( h2(e13) = e21
    | op2(e20,e21) = e20
    | ~ sP25_prd ),
    inference(forward_demodulation,[status(thm)],[f279,f482]) ).

fof(f2450,plain,
    ( h2(e13) != e21
    | op2(e20,e21) = e20
    | ~ sP25_prd ),
    inference(forward_demodulation,[status(thm)],[f279,f483]) ).

fof(f2451,plain,
    ( op2(e20,e21) = e20
    | ~ sP25_prd ),
    inference(forward_subsumption_resolution,[status(thm)],[f2450,f2447]) ).

fof(f2458,plain,
    ( h3(op1(e13,e12)) != op2(e23,e22)
    | h3(e13) != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | e22 != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e11,e13)) != e23
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | e21 != op2(e21,e20)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(backward_demodulation,[status(thm)],[f2435,f2436]) ).

fof(f2465,plain,
    op1(e13,e10) != e13,
    inference(backward_demodulation,[status(thm)],[f2435,f158]) ).

fof(f2467,plain,
    op1(e11,e11) != e13,
    inference(backward_demodulation,[status(thm)],[f2435,f126]) ).

fof(f2468,plain,
    op1(e10,e11) != e13,
    inference(backward_demodulation,[status(thm)],[f2435,f124]) ).

fof(f2470,plain,
    ( h3(op1(e13,e12)) != op2(e23,e22)
    | e23 != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | e22 != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e11,e13)) != e23
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | e21 != op2(e21,e20)
    | h3(op1(e10,e12)) != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f760,f2458]) ).

fof(f2472,plain,
    op1(e10,e12) = e10,
    inference(backward_subsumption_resolution,[status(thm)],[f2136,f2429]) ).

fof(f2473,plain,
    op1(e13,e12) = e11,
    inference(backward_subsumption_resolution,[status(thm)],[f1625,f2429]) ).

fof(f2474,plain,
    ( op1(e11,e12) = e12
    | op1(e11,e12) = e10 ),
    inference(backward_subsumption_resolution,[status(thm)],[f998,f2429]) ).

fof(f2486,plain,
    op1(e12,e10) = e10,
    inference(backward_subsumption_resolution,[status(thm)],[f2250,f2432]) ).

fof(f2487,plain,
    op1(e12,e11) = e11,
    inference(backward_subsumption_resolution,[status(thm)],[f1630,f2432]) ).

fof(f2490,plain,
    op1(e10,e11) != e10,
    inference(backward_subsumption_resolution,[status(thm)],[f2275,f2465]) ).

fof(f2493,plain,
    ( h2(e13) = e21
    | op2(e21,e20) != e21
    | ~ sP25_prd ),
    inference(forward_demodulation,[status(thm)],[f279,f484]) ).

fof(f2496,plain,
    ( h2(e13) != e21
    | op2(e21,e20) != e21
    | ~ sP25_prd ),
    inference(forward_demodulation,[status(thm)],[f279,f485]) ).

fof(f2497,plain,
    ( op2(e21,e20) != e21
    | ~ sP25_prd ),
    inference(forward_subsumption_resolution,[status(thm)],[f2496,f2493]) ).

fof(f2505,plain,
    op1(e10,e10) = e13,
    inference(backward_subsumption_resolution,[status(thm)],[f1756,f2468]) ).

fof(f2515,plain,
    ( h3(op1(e13,e12)) != op2(e23,e22)
    | e23 != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | e22 != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e11,e13)) != e23
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | e21 != op2(e21,e20)
    | h3(e10) != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(backward_demodulation,[status(thm)],[f2472,f2470]) ).

fof(f2526,plain,
    e10 != op1(e11,e12),
    inference(backward_demodulation,[status(thm)],[f2472,f128]) ).

fof(f2529,plain,
    ( h3(op1(e13,e12)) != op2(e23,e22)
    | e23 != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | e22 != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(op1(e12,e10)) != op2(e22,e20)
    | h3(op1(e11,e13)) != e23
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f1698,f2515]) ).

fof(f2551,plain,
    ( e23 = e22
    | op2(e21,e22) = e21
    | op2(e20,e22) = e20 ),
    inference(resolution,[status(thm)],[f489,f1823]) ).

fof(f2552,plain,
    ( op2(e21,e22) = e21
    | op2(e20,e22) = e20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2551,f223]) ).

fof(f2557,plain,
    ( h3(op1(e13,e12)) != op2(e23,e22)
    | e23 != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | e22 != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | h3(e10) != op2(e22,e20)
    | h3(op1(e11,e13)) != e23
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f2486,f2529]) ).

fof(f2558,plain,
    ( h3(op1(e13,e12)) != op2(e23,e22)
    | e23 != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | e22 != op2(e22,e23)
    | h3(op1(e12,e11)) != op2(e22,e21)
    | e20 != op2(e22,e20)
    | h3(op1(e11,e13)) != e23
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f1698,f2557]) ).

fof(f2559,plain,
    ( h3(op1(e13,e12)) != op2(e23,e22)
    | e23 != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | e22 != op2(e22,e23)
    | h3(e11) != op2(e22,e21)
    | e20 != op2(e22,e20)
    | h3(op1(e11,e13)) != e23
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f2487,f2558]) ).

fof(f2560,plain,
    ( h3(op1(e13,e12)) != op2(e23,e22)
    | e23 != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | e22 != op2(e22,e23)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | h3(op1(e11,e13)) != e23
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f1753,f2559]) ).

fof(f2561,plain,
    ( h3(e11) != op2(e23,e22)
    | e23 != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | e22 != op2(e22,e23)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | h3(op1(e11,e13)) != e23
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f2473,f2560]) ).

fof(f2562,plain,
    ( e21 != op2(e23,e22)
    | e23 != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | e22 != op2(e22,e23)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | h3(op1(e11,e13)) != e23
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(op1(e10,e10)) != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f1753,f2561]) ).

fof(f2576,plain,
    ( e21 != op2(e23,e22)
    | e23 != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | e22 != op2(e22,e23)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | h3(op1(e11,e13)) != e23
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | h3(e13) != h1(e13) ),
    inference(backward_demodulation,[status(thm)],[f2505,f2562]) ).

fof(f2581,plain,
    ( e21 != op2(e23,e22)
    | e23 != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | e22 != op2(e22,e23)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | h3(op1(e11,e13)) != e23
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21)
    | e23 != h1(e13) ),
    inference(forward_demodulation,[status(thm)],[f760,f2576]) ).

fof(f2582,plain,
    ( e21 != op2(e23,e22)
    | e23 != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | e22 != op2(e22,e23)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | h3(op1(e11,e13)) != e23
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2581,f2261]) ).

fof(f2583,plain,
    ( op1(e13,e12) = e12
    | e13 = e12
    | op1(e13,e10) = e12 ),
    inference(forward_demodulation,[status(thm)],[f2435,f1536]) ).

fof(f2584,plain,
    ( e11 = e12
    | e13 = e12
    | op1(e13,e10) = e12 ),
    inference(forward_demodulation,[status(thm)],[f2473,f2583]) ).

fof(f2585,plain,
    ( e11 = e12
    | op1(e13,e10) = e12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2584,f217]) ).

fof(f2611,plain,
    ( op1(e10,e12) = e12
    | op1(e10,e11) = e12
    | e13 = e12 ),
    inference(forward_demodulation,[status(thm)],[f2505,f1564]) ).

fof(f2612,plain,
    ( e10 = e12
    | op1(e10,e11) = e12
    | e13 = e12 ),
    inference(forward_demodulation,[status(thm)],[f2472,f2611]) ).

fof(f2613,plain,
    ( e10 = e12
    | op1(e10,e11) = e12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2612,f217]) ).

fof(f2622,plain,
    ( op2(e21,e23) = e21
    | e21 = e20
    | ~ sP27_prd ),
    inference(forward_demodulation,[status(thm)],[f1730,f496]) ).

fof(f2623,plain,
    ( e23 = e21
    | e21 = e20
    | ~ sP27_prd ),
    inference(forward_demodulation,[status(thm)],[f1799,f2622]) ).

fof(f2624,plain,
    ( e23 = e21
    | ~ sP27_prd ),
    inference(forward_subsumption_resolution,[status(thm)],[f2623,f218]) ).

fof(f2625,plain,
    ( op2(e22,e23) = e22
    | e23 = e21 ),
    inference(resolution,[status(thm)],[f2624,f1825]) ).

fof(f2626,plain,
    op2(e22,e23) = e22,
    inference(forward_subsumption_resolution,[status(thm)],[f2625,f222]) ).

fof(f2648,plain,
    ( e21 != op2(e23,e22)
    | e23 != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | e22 != e22
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | h3(op1(e11,e13)) != e23
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21) ),
    inference(backward_demodulation,[status(thm)],[f2626,f2582]) ).

fof(f2654,plain,
    op2(e22,e21) != e22,
    inference(backward_demodulation,[status(thm)],[f2626,f204]) ).

fof(f2655,plain,
    op2(e22,e20) != e22,
    inference(backward_demodulation,[status(thm)],[f2626,f202]) ).

fof(f2657,plain,
    ( e21 != op2(e23,e22)
    | e23 != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | h3(op1(e11,e13)) != e23
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21) ),
    inference(trivial_equality_resolution,[status(thm)],[f2648]) ).

fof(f2659,plain,
    ( sP25_prd
    | ~ sP5_prd ),
    inference(backward_subsumption_resolution,[status(thm)],[f356,f2654]) ).

fof(f2662,plain,
    ( op2(e23,e21) = e23
    | sP25_prd ),
    inference(resolution,[status(thm)],[f2659,f260]) ).

fof(f2664,plain,
    ( sP24_prd
    | ~ sP4_prd ),
    inference(backward_subsumption_resolution,[status(thm)],[f349,f2655]) ).

fof(f2665,plain,
    ( op2(e23,e20) = e22
    | op2(e21,e20) = e22
    | h1(e13) = e22 ),
    inference(backward_subsumption_resolution,[status(thm)],[f1165,f2655]) ).

fof(f2670,plain,
    ( e11 = e10
    | op1(e11,e11) = e10
    | op1(e10,e11) = e10 ),
    inference(forward_demodulation,[status(thm)],[f2487,f1569]) ).

fof(f2671,plain,
    ( e11 = e10
    | op1(e11,e11) = e10 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2670,f2490]) ).

fof(f2677,plain,
    ( op2(e23,e20) = e23
    | sP24_prd ),
    inference(resolution,[status(thm)],[f2664,f258]) ).

fof(f2679,plain,
    ( op2(e21,e20) != e21
    | op2(e23,e21) = e23 ),
    inference(resolution,[status(thm)],[f2662,f2497]) ).

fof(f2680,plain,
    ( op2(e20,e21) = e20
    | op2(e23,e21) = e23 ),
    inference(resolution,[status(thm)],[f2662,f2451]) ).

fof(f2684,plain,
    ( op2(e21,e20) = e21
    | op2(e23,e20) = e23 ),
    inference(resolution,[status(thm)],[f2677,f2360]) ).

fof(f2697,plain,
    op1(e11,e13) = e13,
    inference(forward_subsumption_resolution,[status(thm)],[f2439,f2467]) ).

fof(f2702,plain,
    ( e21 != op2(e23,e22)
    | e23 != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | h3(e13) != e23
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21) ),
    inference(forward_demodulation,[status(thm)],[f2697,f2657]) ).

fof(f2703,plain,
    ( e21 != op2(e23,e22)
    | e23 != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | e23 != e23
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21) ),
    inference(forward_demodulation,[status(thm)],[f760,f2702]) ).

fof(f2704,plain,
    ( e21 != op2(e23,e22)
    | e23 != op2(e23,e21)
    | h3(op1(e13,e10)) != op2(e23,e20)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21) ),
    inference(trivial_equality_resolution,[status(thm)],[f2703]) ).

fof(f2705,plain,
    ( e11 = e12
    | e21 != op2(e23,e22)
    | e23 != op2(e23,e21)
    | h3(e12) != op2(e23,e20)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21) ),
    inference(paramodulation,[status(thm)],[f2585,f2704]) ).

fof(f2706,plain,
    ( e11 = e12
    | e21 != op2(e23,e22)
    | e23 != op2(e23,e21)
    | e22 != op2(e23,e20)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21) ),
    inference(forward_demodulation,[status(thm)],[f280,f2705]) ).

fof(f2707,plain,
    ( e21 != op2(e23,e22)
    | e23 != op2(e23,e21)
    | e22 != op2(e23,e20)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | h3(op1(e11,e12)) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2706,f215]) ).

fof(f2715,plain,
    ( e21 != op2(e23,e22)
    | e23 != op2(e23,e21)
    | e22 != op2(e23,e20)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | h3(e12) != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21) ),
    inference(backward_demodulation,[status(thm)],[f2721,f2707]) ).

fof(f2721,plain,
    op1(e11,e12) = e12,
    inference(forward_subsumption_resolution,[status(thm)],[f2474,f2526]) ).

fof(f2723,plain,
    ( e21 != op2(e23,e22)
    | e23 != op2(e23,e21)
    | e22 != op2(e23,e20)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | e22 != op2(e21,e22)
    | h3(op1(e11,e11)) != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21) ),
    inference(forward_demodulation,[status(thm)],[f280,f2715]) ).

fof(f2731,plain,
    ( op2(e21,e22) = e21
    | h1(e13) != e20 ),
    inference(paramodulation,[status(thm)],[f2552,f1364]) ).

fof(f2762,plain,
    ( e11 = e10
    | e21 != op2(e23,e22)
    | e23 != op2(e23,e21)
    | e22 != op2(e23,e20)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | e22 != op2(e21,e22)
    | h3(e10) != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21) ),
    inference(paramodulation,[status(thm)],[f2671,f2723]) ).

fof(f2763,plain,
    ( e11 = e10
    | e21 != op2(e23,e22)
    | e23 != op2(e23,e21)
    | e22 != op2(e23,e20)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | e22 != op2(e21,e22)
    | e20 != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21) ),
    inference(forward_demodulation,[status(thm)],[f1698,f2762]) ).

fof(f2764,plain,
    ( e21 != op2(e23,e22)
    | e23 != op2(e23,e21)
    | e22 != op2(e23,e20)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | e22 != op2(e21,e22)
    | e20 != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2763,f212]) ).

fof(f2776,plain,
    ( e21 != op2(e23,e22)
    | e22 != op2(e23,e20)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | e22 != op2(e21,e22)
    | e20 != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | h3(op1(e10,e11)) != op2(e20,e21) ),
    inference(backward_subsumption_resolution,[status(thm)],[f2764,f2679]) ).

fof(f2781,plain,
    ( h1(e13) = e23
    | op2(e20,e21) = e20 ),
    inference(resolution,[status(thm)],[f2680,f2261]) ).

fof(f2826,plain,
    ( op2(e21,e20) = e21
    | h1(e13) != e23 ),
    inference(paramodulation,[status(thm)],[f2684,f1210]) ).

fof(f2829,plain,
    ( op2(e20,e21) = e20
    | op2(e21,e20) = e21 ),
    inference(resolution,[status(thm)],[f2826,f2781]) ).

fof(f2853,plain,
    ( e10 = e12
    | e21 != op2(e23,e22)
    | e22 != op2(e23,e20)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | e22 != op2(e21,e22)
    | e20 != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | h3(e12) != op2(e20,e21) ),
    inference(paramodulation,[status(thm)],[f2613,f2776]) ).

fof(f2854,plain,
    ( e10 = e12
    | e21 != op2(e23,e22)
    | e22 != op2(e23,e20)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | e22 != op2(e21,e22)
    | e20 != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | e22 != op2(e20,e21) ),
    inference(forward_demodulation,[status(thm)],[f280,f2853]) ).

fof(f2855,plain,
    ( e21 != op2(e23,e22)
    | e22 != op2(e23,e20)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | e22 != op2(e21,e22)
    | e20 != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | e22 != op2(e20,e21) ),
    inference(forward_subsumption_resolution,[status(thm)],[f2854,f213]) ).

fof(f2863,plain,
    ( op2(e20,e21) = e20
    | e21 != op2(e21,e22) ),
    inference(paramodulation,[status(thm)],[f2829,f195]) ).

fof(f2866,plain,
    ( op2(e20,e21) = e20
    | e21 != op2(e22,e20) ),
    inference(paramodulation,[status(thm)],[f2829,f167]) ).

fof(f2886,plain,
    ( h1(e13) != e20
    | op2(e20,e21) = e20 ),
    inference(resolution,[status(thm)],[f2863,f2731]) ).

fof(f2912,plain,
    ( h1(e13) = e23
    | h1(e13) != e20
    | e23 = e20 ),
    inference(paramodulation,[status(thm)],[f2257,f2886]) ).

fof(f2914,plain,
    ( h1(e13) = e23
    | h1(e13) != e20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2912,f220]) ).

fof(f2915,plain,
    ( h1(e13) = e23
    | h1(e13) = e22 ),
    inference(backward_subsumption_resolution,[status(thm)],[f1733,f2914]) ).

fof(f2918,plain,
    ( op2(e21,e20) = e21
    | h1(e13) = e22 ),
    inference(resolution,[status(thm)],[f2915,f2826]) ).

fof(f2929,plain,
    ( h1(e13) = e22
    | h4(e11) = op2(e23,e20) ),
    inference(paramodulation,[status(thm)],[f2915,f1720]) ).

fof(f2991,plain,
    ( op2(e22,e21) = e21
    | op2(e20,e21) = e20 ),
    inference(resolution,[status(thm)],[f2866,f1748]) ).

fof(f3040,plain,
    ( h1(e13) = e22
    | h1(e13) != h4(e11) ),
    inference(paramodulation,[status(thm)],[f2929,f1210]) ).

fof(f3051,plain,
    ( op2(e20,e22) = e20
    | op2(e20,e21) = e20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1689,f2886]) ).

fof(f3071,plain,
    ( h2(e13) = e20
    | op2(e20,e21) = e20
    | e20 = e21
    | op2(e20,e21) = e20 ),
    inference(paramodulation,[status(thm)],[f1651,f2991]) ).

fof(f3080,plain,
    ( h2(e13) = e20
    | e20 = e21
    | op2(e20,e21) = e20 ),
    inference(duplicate_literals_removal,[status(thm)],[f3071]) ).

fof(f3081,plain,
    ( h2(e13) = e20
    | op2(e20,e21) = e20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3080,f218]) ).

fof(f3157,plain,
    ( op2(e20,e21) = e22
    | op2(e20,e21) = e20
    | h1(e13) != e23 ),
    inference(paramodulation,[status(thm)],[f1737,f1331]) ).

fof(f3163,plain,
    ( op2(e20,e21) = e22
    | op2(e20,e21) = e20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3157,f2781]) ).

fof(f3201,plain,
    ( e21 != op2(e23,e22)
    | e22 != op2(e23,e20)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | e22 != op2(e21,e22)
    | e20 != h2(e13)
    | e21 != op2(e21,e20)
    | e20 != op2(e20,e22)
    | op2(e20,e21) = e20 ),
    inference(resolution,[status(thm)],[f3163,f2855]) ).

fof(f3212,plain,
    ( op2(e20,e21) = e20
    | h1(e13) != e22 ),
    inference(paramodulation,[status(thm)],[f3163,f1331]) ).

fof(f3217,plain,
    ( e21 != op2(e23,e22)
    | e22 != op2(e23,e20)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | e22 != op2(e21,e22)
    | e20 != h2(e13)
    | e21 != op2(e21,e20)
    | op2(e20,e21) = e20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3201,f3051]) ).

fof(f3248,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e20) = e20
    | h1(e13) != e22 ),
    inference(paramodulation,[status(thm)],[f1818,f1203]) ).

fof(f3251,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e20) = e20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3248,f2918]) ).

fof(f3263,plain,
    ( e21 != op2(e23,e22)
    | e22 != op2(e23,e20)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | e22 != op2(e21,e22)
    | e20 != h2(e13)
    | op2(e20,e21) = e20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3217,f2829]) ).

fof(f3264,plain,
    ( h2(e13) = e22
    | op2(e21,e20) = e22
    | e21 != op2(e23,e22)
    | e22 != op2(e23,e20)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | e20 != h2(e13)
    | op2(e20,e21) = e20 ),
    inference(resolution,[status(thm)],[f3263,f1800]) ).

fof(f3271,plain,
    ( h2(e13) = e22
    | op2(e21,e20) = e22
    | e21 != op2(e23,e22)
    | e22 != op2(e23,e20)
    | e21 != op2(e22,e21)
    | e20 != op2(e22,e20)
    | op2(e20,e21) = e20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3264,f3081]) ).

fof(f3280,plain,
    ( h2(e13) = e22
    | op2(e21,e20) = e22
    | e21 != op2(e23,e22)
    | e22 != op2(e23,e20)
    | e20 != op2(e22,e20)
    | op2(e20,e21) = e20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3271,f2991]) ).

fof(f3281,plain,
    ( op2(e20,e21) = e20
    | e20 = e22
    | op2(e21,e20) = e22
    | e21 != op2(e23,e22)
    | e22 != op2(e23,e20)
    | e20 != op2(e22,e20)
    | op2(e20,e21) = e20 ),
    inference(paramodulation,[status(thm)],[f3081,f3280]) ).

fof(f3284,plain,
    ( e20 = e22
    | op2(e21,e20) = e22
    | e21 != op2(e23,e22)
    | e22 != op2(e23,e20)
    | e20 != op2(e22,e20)
    | op2(e20,e21) = e20 ),
    inference(duplicate_literals_removal,[status(thm)],[f3281]) ).

fof(f3285,plain,
    ( op2(e21,e20) = e22
    | e21 != op2(e23,e22)
    | e22 != op2(e23,e20)
    | e20 != op2(e22,e20)
    | op2(e20,e21) = e20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3284,f219]) ).

fof(f3401,plain,
    ( op2(e20,e21) = e20
    | e21 = e22
    | e21 != op2(e23,e22)
    | e22 != op2(e23,e20)
    | e20 != op2(e22,e20)
    | op2(e20,e21) = e20 ),
    inference(paramodulation,[status(thm)],[f2829,f3285]) ).

fof(f3403,plain,
    ( e21 = e22
    | e21 != op2(e23,e22)
    | e22 != op2(e23,e20)
    | e20 != op2(e22,e20)
    | op2(e20,e21) = e20 ),
    inference(duplicate_literals_removal,[status(thm)],[f3401]) ).

fof(f3404,plain,
    ( e21 != op2(e23,e22)
    | e22 != op2(e23,e20)
    | e20 != op2(e22,e20)
    | op2(e20,e21) = e20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3403,f221]) ).

fof(f3405,plain,
    ( op2(e21,e20) = e22
    | h1(e13) = e22
    | e21 != op2(e23,e22)
    | e20 != op2(e22,e20)
    | op2(e20,e21) = e20 ),
    inference(resolution,[status(thm)],[f3404,f2665]) ).

fof(f3413,plain,
    ( op2(e21,e20) = e22
    | e21 != op2(e23,e22)
    | e20 != op2(e22,e20)
    | op2(e20,e21) = e20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3405,f3212]) ).

fof(f3473,plain,
    ( op2(e21,e20) = e20
    | e21 != op2(e21,e22) ),
    inference(paramodulation,[status(thm)],[f3251,f195]) ).

fof(f3531,plain,
    ( h1(e13) != e20
    | op2(e21,e20) = e20 ),
    inference(resolution,[status(thm)],[f3473,f2731]) ).

fof(f3537,plain,
    ( op2(e22,e20) = e20
    | op2(e21,e20) = e20 ),
    inference(backward_subsumption_resolution,[status(thm)],[f1654,f3531]) ).

fof(f3604,plain,
    ( op2(e21,e20) = e20
    | e21 = e22
    | e21 != op2(e23,e22)
    | e20 != op2(e22,e20)
    | op2(e20,e21) = e20 ),
    inference(paramodulation,[status(thm)],[f3251,f3413]) ).

fof(f3607,plain,
    ( op2(e21,e20) = e20
    | e21 = e22
    | e21 != op2(e23,e22)
    | op2(e20,e21) = e20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3604,f3537]) ).

fof(f4218,plain,
    ( ~ sP4_prd
    | op2(e20,e21) != e20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2366,f2655]) ).

fof(f4524,plain,
    ( op2(e21,e20) = e20
    | e21 != op2(e23,e22)
    | op2(e20,e21) = e20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3607,f221]) ).

fof(f4528,plain,
    ( op2(e21,e22) = e21
    | op2(e21,e20) = e20
    | op2(e20,e21) = e20 ),
    inference(resolution,[status(thm)],[f4524,f1735]) ).

fof(f4535,plain,
    ( op2(e21,e20) = e20
    | op2(e20,e21) = e20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4528,f3473]) ).

fof(f4577,plain,
    ( op2(e20,e21) = e20
    | e21 = e20
    | op2(e20,e21) = e20 ),
    inference(paramodulation,[status(thm)],[f2829,f4535]) ).

fof(f4595,plain,
    ( e21 = e20
    | op2(e20,e21) = e20 ),
    inference(duplicate_literals_removal,[status(thm)],[f4577]) ).

fof(f4596,plain,
    op2(e20,e21) = e20,
    inference(forward_subsumption_resolution,[status(thm)],[f4595,f218]) ).

fof(f4612,plain,
    ( ~ sP4_prd
    | e20 != e20 ),
    inference(backward_demodulation,[status(thm)],[f4596,f4218]) ).

fof(f4641,plain,
    ( e20 = e23
    | h1(e13) = e23 ),
    inference(backward_demodulation,[status(thm)],[f4596,f2257]) ).

fof(f4650,plain,
    ~ sP4_prd,
    inference(trivial_equality_resolution,[status(thm)],[f4612]) ).

fof(f4657,plain,
    h1(e13) = e23,
    inference(forward_subsumption_resolution,[status(thm)],[f4641,f220]) ).

fof(f4659,plain,
    op2(e23,e20) = e23,
    inference(backward_subsumption_resolution,[status(thm)],[f258,f4650]) ).

fof(f4682,plain,
    ( e23 = e22
    | h1(e13) != h4(e11) ),
    inference(backward_demodulation,[status(thm)],[f4657,f3040]) ).

fof(f4706,plain,
    h4(e11) = op2(e23,e20),
    inference(backward_demodulation,[status(thm)],[f4657,f1720]) ).

fof(f4777,plain,
    ( e23 = e22
    | e23 != h4(e11) ),
    inference(forward_demodulation,[status(thm)],[f4657,f4682]) ).

fof(f4778,plain,
    e23 != h4(e11),
    inference(forward_subsumption_resolution,[status(thm)],[f4777,f223]) ).

fof(f4959,plain,
    h4(e11) = e23,
    inference(forward_demodulation,[status(thm)],[f4659,f4706]) ).

fof(f4960,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f4959,f4778]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ALG110+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37  % Computer : n026.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Mon Sep 21 12:59:36 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.39  % Drodi V4.1.1
% 0.09/0.49  % Refutation found
% 0.09/0.49  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.49  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.53  % Elapsed time: 0.152950 seconds
% 0.09/0.53  % CPU time: 0.826672 seconds
% 0.09/0.53  % Total memory used: 137.220 MB
% 0.09/0.53  % Net memory used: 136.573 MB
%------------------------------------------------------------------------------